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The dual-field-of-view polarization lidar technique: a new concept in monitoring aerosol effects in liquid-water clouds – case studies

In a companion article (Jimenez et al., 2020), we introduced a new lidar method to derive microphysical properties of liquid-water clouds (cloud extinction coefficient, droplet effective radius, liquid-water content, cloud droplet number concentration Nd) at a height of 50–100 m above the cloud base together with aerosol information (aerosol extinction coefficients, cloud condensation nuclei concentration NCCN) below the cloud layer so that detailed studies of the influence of given aerosol conditions on the evolution of liquid-water cloud layers with high temporal resolution solely based on lidar observations have become possible now. The novel cloud retrieval technique makes use of lidar observations of the volume linear depolarization ratio at two different receiver field of views (FOVs). In this article, Part 2, the new dual-FOV polarization lidar technique is applied to cloud measurements in pristine marine conditions at Punta Arenas in southern Chile. A multiwavelength polarization Raman lidar, upgraded by integrating a second polarization-sensitive channel to permit depolarization ratio observations at two FOVs, was used for these measurements at the southernmost tip of South America. Two case studies are presented to demonstrate the potential of the new lidar technique. Successful aerosol–cloud-interaction (ACI) studies based on measurements with the upgraded aerosol–cloud lidar in combination with a Doppler lidar of the vertical wind component could be carried out with 1 min temporal resolution at these pristine conditions. In a stratocumulus layer at the top of the convective boundary layer, we found values of Nd andNCCN (for 0.2 % water supersaturation) ranging from 15–100 and 75–200 cm−3, respectively, during updraft periods. The studies of the aerosol impact on cloud properties yielded ACI values close to 1. The impact of aerosol water uptake on the ACI studies was analyzed with the result that the highest ACI values were obtained when considering aerosol proxies (light-extinction coefficient αpar or NCCN) measured at heights about 500 m below the cloud base (and thus for dry aerosol conditions).

Abstract. In a companion article (Jimenez et al., 2020), we introduced a new lidar method to derive microphysical properties of liquid-water clouds (cloud extinction coefficient, droplet effective radius, liquid-water content, cloud droplet number concentration N d ) at a height of 50-100 m above the cloud base together with aerosol information (aerosol extinction coefficients, cloud condensation nuclei concentration N CCN ) below the cloud layer so that detailed studies of the influence of given aerosol conditions on the evolution of liquid-water cloud layers with high temporal resolution solely based on lidar observations have become possible now. The novel cloud retrieval technique makes use of lidar observations of the volume linear depolarization ratio at two different receiver field of views (FOVs). In this article, Part 2, the new dual-FOV polarization lidar technique is applied to cloud measurements in pristine marine conditions at Punta Arenas in southern Chile. A multiwavelength polarization Raman lidar, upgraded by integrating a second polarization-sensitive channel to permit depolarization ratio observations at two FOVs, was used for these measurements at the southernmost tip of South America. Two case studies are presented to demonstrate the potential of the new lidar technique. Successful aerosol-cloud-interaction (ACI) studies based on measurements with the upgraded aerosol-cloud lidar in combination with a Doppler lidar of the vertical wind component could be carried out with 1 min temporal resolution at these pristine conditions. In a stratocumulus layer at the top of the convective boundary layer, we found values of N d and N CCN (for 0.2 % water supersaturation) ranging from 15-100 and 75-200 cm −3 , respectively, during updraft periods. The studies of the aerosol impact on cloud properties yielded ACI values close to 1. The impact of aerosol water uptake on the ACI studies was analyzed with the result that the highest ACI values were obtained when considering aerosol proxies (light-extinction coefficient α par or N CCN ) measured at heights about 500 m below the cloud base (and thus for dry aerosol conditions).

Introduction
Numerous details and aspects of aerosol-cloud interaction (ACI) are not well understood and thus not well considered and parameterized in weather and climate models. The reason for this gap in our knowledge is closely linked to the lack of adequate measurements, observational concepts, instrumentation, tools, and techniques for a detailed, continuous (camera-like) monitoring of cloud processes in a variety of aerosol environmental and meteorological conditions. Such continuous monitoring is only possible in well-designed ground-based remote sensing network structures. Network supersites, distributed around the world, preferably in hotspot regions of anthropogenic activities and climate change as well as in rural background regions, need to cover profiling of aerosol mixtures and their aerosol-type properties, cloud microphysical, optical, and cloud-type (phase) properties, and meteorological parameters such as temperature, relative humidity, and wind, especially of the vertical wind component and thus of updraft, downdraft, and wave characteristics. Aerosol influences on low-level liquid-water clouds over mixed-phase clouds to tropopause cirrus need to be monitored. Measurements of cloud-relevant aerosol parameters must even include heights within the lower stratosphere which may serve as a source for ice-nucleating particles of heterogeneous ice formation in high level cirrus layers. In Europe, ACTRIS (Aerosols, Clouds, and Trace gases Research InfraStructure; https://www.actris.eu/, last access: 2 December 2020) with its network structures Cloudnet (Illingworth et al., 2007) and EARLINET (European Aerosol Research Lidar Network) (Pappalardo et al., 2014) is responsible for the buildup of the necessary aerosol-cloud monitoring infrastructure.
There is still a strong request for the development of new and robust aerosol and cloud profiling techniques (Grosvenor et al., 2018). As a contribution to improved ACI field studies with a focus on liquid-water clouds, we offer a novel lidar measurement concept that permits continuous, vertically resolved observations of cloud-relevant aerosol properties below the cloud base, cloud microphysical properties in the lower part of the cloud layer, and the vertical wind component below and within the cloud parcels with a temporal resolution of 30-120 s. The methodological framework is presented in Part 1 (Jimenez et al., 2020). The selected measurement concept of combining aerosol lidar, cloud lidar, and wind Doppler lidar observations was already outlined and applied by Schmidt et al. (2014Schmidt et al. ( , 2015. However, a fast lidar technique for cloud observation (day and night and with updraft-resolving temporal resolution) was introduced only recently (Jimenez et al., 2017(Jimenez et al., , 2018. In Part 1 (Jimenez et al., 2020), we presented the theoretical framework of the novel dual-field-of-view (dual-FOV) polarization lidar method, which allows us to derive microphysical properties of liquid-water clouds such as droplet number concentration N d , effective radius R e of the droplets, and liquidwater content w l as well as the cloud extinction coefficient α in the cloud base region at 50 to 100 m above the cloud base. Together with the recently developed method to derive height profiles of cloud condensations nuclei (CCN) concentrations (N CCN ) from aerosol extinction coefficients α par , measured with the same polarization lidar  below the cloud base, detailed studies of the impact of aerosol particles on the microphysical properties of droplets in the cloud base region of liquid-water cloud layers have become possible.
The instrumental setup can be easily integrated into existing ground-based aerosol and cloud remote sensing network supersites as already demonstrated in the case of the mobile ACTRIS Cloudnet station LACROS (Leipzig Aerosol and Cloud Remote Observation System; http://lacros.rsd.tropos. de/, last access: 2 December 2020), which is presently deployed for a long-term campaign in Punta Arenas, Chile, in the pristine marine environment of southernmost South America. Network observations of aerosol-cloud interaction on a continental scale offer new possibilities of co-operations between the measuring science community performing longterm observations of aerosols and clouds and the modeling community developing and improving atmospheric and Earth system models with the goal to better consider natural and anthropogenic aerosols and their impact on radiative transfer and cloud evolution in weather and climate forecast simulations. The models can be confronted with a continuous flow of aerosol and cloud observations for very different aerosol and meteorological conditions. This would probably lead to a significant step forward in the understanding of the role of aerosols in the atmospheric system. Furthermore, dual-FOV lidars can provide constraints for cloud radar retrievals (e.g., Frisch et al., 2002) so that full cloud profiling throughout cloud layers is possible. The new dual-FOV polarization lidar technique can be easily implemented in widespread aerosol polarization lidars (of, e.g., EARLINET) with near-range and far-range receiver telescopes, as will be discussed below, and can then contribute to the long-term monitoring of droplet microphysical properties in the lower part of liquid-water clouds within network structures.
In this second article (Part 2), we apply the new dual-FOV polarization lidar technique to recent aerosol and cloud observations at Punta Arenas, Chile, discuss the cloud retrieval uncertainties, compare the results with independent alternative cloud observations, and highlight the new potential of the lidar technique to significantly contribute to atmospheric and climate research in the field of ACI. Part 2 is organized as a stand-alone publication. Part 1 is therefore not needed as a prerequisite to follow the presentations and discussions in Part 2. In Sect. 2, we briefly summarize the data analysis procedure to retrieve the aerosol and cloud parameters for in-depth ACI studies as extensively discussed and explained in Part 1 (Jimenez et al., 2020). Sect. 3 provides details of the integration of the dual-FOV polarization lidar technique into a Polly (portable lidar system) instrument Baars et al., 2016). The upgraded Polly is part of LACROS and consists of an aerosol-cloud lidar, a Doppler lidar for profiling of the vertical wind component, and a cloud radar as the main profiling instruments. LACROS was continuously operated at Punta Arenas, Chile, in the framework of the long-term field campaign DACAPO-PESO (Dynamics, Aerosol, Cloud And Precipitation Observations in the Pristine Environment of the Southern Ocean; https://dacapo.tropos.de, last access: 2 December 2020) from November 2018 to the end of 2020. Details of the campaign and the goals of the investigations are outlined in Sect. 3.3. In the measurement section (Sect. 4), two case studies are presented. Case 1 (Sect. 4.1) is shown to discuss the basic and principle features of the new cloud retrieval technique. The potential of the new dual-FOV lidar to contribute to ACI research is then illuminated in Sect. 4.2 (case study 2). Concluding remarks and an outlook are given in Sect. 5.

Data processing scheme
As outlined in Part 1 (Jimenez et al., 2020), the basic motivation for the development of the dual-FOV polarization lidar technique was the need for simultaneous aerosol and cloud observations at day-and nighttime, with high temporal resolutions of the order of 30-120 s. The developed novel lidar method for liquid-water cloud observations is based on the measurement of the so-called volume linear depolarization ratio in the lower part of the water cloud at two different receiver FOVs. The required dual-FOV polarization lidar transmits linearly polarized laser pulses and detects the socalled cross-and co-polarized signal components. "Co" and "cross" denote the planes of polarization parallel and orthogonal to the plane of linear polarization of the transmitted laser pulses, respectively. The volume linear depolarization ratio is defined as the ratio of the cross-to the co-polarized signal and yields the basic information on the ratio of the cross-to the co-polarized backscatter coefficient. In water clouds, the depolarization ratio is sensitively influenced by multiple scattering and varies, e.g., with receiver FOV, cloud height, and cloud droplet number concentration and size of the droplets as explained in detail in Part 1. These relationships are used in the dual-FOV polarization lidar technique to retrieve the effective radius R e of the droplets and the cloud extinction coefficient α in the cloud base region at 50 to 100 m above the cloud base by means of measured depolarization ratios at two FOVs, and, in the next step, to compute the liquid-water content w l and the cloud droplet number concentration N d from the R e and α values. Table 1 provides an overview of all steps of the comprehensive analysis of cloud and aerosol data obtained with the new dual-FOV polarization lidar developed in Part 1 (Jimenez et al., 2020). The overall concept of lidar-based aerosol-cloud-interaction studies with a focus on liquidwater clouds is illustrated in Fig. 4 in Part 1. The dual-FOV polarization lidar technique allows us to derive simultaneously the microphysical properties of liquid-water clouds at a height of z ref = z bot + 75 m above the cloud base height z bot and the aerosol proxies α par and N CCN at height z aer which can be freely selected and is typically about 250-750 m below the cloud base to avoid aerosol water-uptake effects Haarig et al., 2017) on the ACI studies.
In this article (Part 2), we apply the full methodology to a DACAPO-PESO measurement case collected at Punta Are-nas on 22 March 2019 and explain all retrieval steps listed in Table 1. The second case, measured on 23 February 2019, is then presented to highlight the new potential of this novel lidar approach to significantly improve ACI studies in the case of liquid-water clouds. Before that, we describe the lidar hardware needed for such observations and the way to obtain the required depolarization ratios from the measured lidar signals that serve as the basic input in the cloud data analysis scheme.

Polly with dual-FOV capability
We implemented the dual-FOV polarization lidar technique in several lidars of the Leibniz Institute for Tropospheric Research (TROPOS) during recent years. The dual-FOV polarization lidar technique was firstly integrated into the EAR-LINET (European Aerosol Research Lidar Network) lidar MARTHA (Multiwavelength Atmospheric Raman lidar for Temperature, Humidity, and Aerosol profiling) (Jimenez et al., 2019). MARTHA was already equipped with the dual-FOV Raman lidar technique (Schmidt et al., 2013(Schmidt et al., , 2014, so direct comparisons of cloud observations with the Raman lidar and the polarization lidar method were possible. We found in general good agreement in the retrieval of cloud optical and microphysical properties (Jimenez et al., 2017(Jimenez et al., , 2018. Encouraged by this successful comparison, we stepped forward and equipped four Polly (portable lidar system) instruments  with the new dual-FOV polarization lidar technique. These four lidar systems are and were involved in several long-term field activities at very different aerosol and environmental conditions, namely at Dushanbe, Tajikistan, in Central Asia (continuous measurements since June 2019), aboard the German ice breaker Polarstern (North Pole, a 1-year campaign from October 2019 to September 2020), at Punta Arenas (a 2-year campaign from November 2018 to the end of 2020), and at Limassol, Cyprus (continuous measurements since October 2020). Aerosol retrieval methods and measurement examples can be found in Baars et al. (2016) and Hofer et al. (2017Hofer et al. ( , 2020. Improved water vapor observations (water vapor mixing ration, relative humidity) by combining lidar and regular photometer observations were recently discussed by Dai et al. (2018). In this section, we concentrate on the new approach of cloud measurements at two FOVs. Figure 1 shows the transmitter and receiver configuration of the Polly instrument of the Punta Arenas remote sensing facility. The lidar is described in detail by Engelmann et al. (2016) and Hofer et al. (2017). Laser beam diameter and divergence are 45 mm and 0.2 mrad, respectively, after beam expansion. The polarization impurity (fraction of nonlinear polarized light) of the transmitted laser beam is less than 0.1 %. The receiver unit consists of the near-range re- Table 1. Overview of the cloud and aerosol retrieval procedure (step-by-step data analysis). The retrieval procedure starts with the determination of the cloud base height z bot . The cloud depolarization ratios δ in and δ out and the ratio δ rat = δ in /δ out , integrated over the height range from the cloud base at z top to the cloud retrieval or reference height z ref , are calculated from the height profiles of measured volume linear depolarization ratios (see Sect. 3.2). The cloud products R e , α, w l , and N d are given for the reference height z ref , 75 m above the cloud base height z bot . The computation of the aerosol-cloud-interaction (ACI) efficiencies E ACI is based on N d , particle extinction coefficient α par , and CCN concentration N CCN at z aer , usually several hundreds of meters below the cloud base. The aerosol proxies are determined from aerosol measurements with the same dual-FOV lidar. All equations refer to Part 1 (Jimenez et al., 2020).

Parameter Symbol Equation Uncertainty
Cloud base height ceiver part (purple frame in Fig. 1), optimized to deliver particle backscatter and extinction profiles almost down to the ground determined from measured total and nitrogen Raman backscatter signals at 355, 387, 532, and 607 nm, and a farrange receiver part (blue frame). The diameter of the primary mirror of the far-range Newtonian telescope is 30 cm. The overlap of the laser beam with the receiver FOV is incomplete for heights below about 800 m above ground level (a.g.l.) and allows for accurate aerosol and cloud profiling for heights above about 400 m a.g.l. only (after the correction of the overlap effects). For the far-range channels, the selected FOV in is 1.0 mrad. The FOV for the near-range channels is FOV out = 2.0 mrad. As can be seen in contrast to a classical polarization lidar as described above, the Polly instrument measures the cross-polarized and the total (co-plus crosspolarized) signal components with the far-range telescope. The reasons for this specific design are explained below. The near-range receiver part was not designed for polarization-sensitive lidar return observations. A 50 mm fiber-wired telescope collects the total (co-plus crosspolarized) backscatter signals. To realize the dual-FOV polarization lidar technique, we installed another receiver unit (with 50 mm telescope) that permits measurements of the cross-polarized signal at 532 nm at FOV out = 2.0 mrad (top part, purple frame, in Fig. 1). The details of the optical elements and the design of this cross-polarized channel are described by Jimenez et al. (2019). Only a polarizer and a collimation lens are used to collect the backscattered crosspolarized laser photons which are then counted by a photomultiplier tube.

Determination of calibrated depolarization ratios at two FOVs
As mentioned, all Polly instruments measure the crosspolarized and the total (co-plus cross-polarized) signal components. The co-polarized signal component is not recorded. The measurement of the total backscatter coefficient facilitates the determination of the particle backscatter coefficient and, more importantly, guarantees a direct observation of the extinction-to-backscatter ratio without introducing uncertainties by composing the total backscatter signal from the two (cross and co-polarized) signal components, measured with different receiver channel efficiencies which need to be measured on a regular basis. To be widely in line with the notation in Engelmann et al. (2016), we switch from indices ⊥, , and ⊥ + (for the total backscatter signal) to c (cross), p (parallel), and t (total), respectively. Because of measuring the cross-polarized and total backscatter signal components, we introduce to distinguish this signal ratio from the volume depolarization ratio as defined by Eq. (8) in Part 1. According to Engelmann et al. (2016), the volume depolarization ratio is given by with the transmission ratio F and the absolute calibration parameter C (explained below). The transmission ratio F is de- . Laser light transmission is indicated by a green circle in the top-view sketch. Backscattered light is collected with a Newtonian telescope (blue area in the top-view sketch, FOV = 1 mrad, far-range telescope) and then passed towards the far-range receiver unit to the right. All optical elements and detector channels belonging to the 1 mrad FOV receiver block are given in a blue frame. The numbers indicate the wavelength in nanometers of the detection channels, and ⊥ denotes the cross-polarized channels. A polarizer is mounted in front of the pinhole (entrance of the farrange receiver unit) and used for the absolute calibration of the depolarization measurements at 1 mrad FOV (for details, see Engelmann et al., 2016). The purple parts and the purple frame (top view, front view sketch) belong to the 2 mrad FOV receiver unit (near-range receiver unit). An additional 5 cm receiver telescope (purple; for details, see Jimenez et al., 2019) is mounted above the secondary mirror of the far-range telescope and collects the cross-polarized signal component at FOV = 2 mrad. To the right of the optical setup, the dual-FOV polarization lidar geometrical configuration is illustrated, sketching the footprints of the laser beam and FOVs with height.
fined as with channels i = c (cross-polarized signal) and i = t (total backscatter signal). As mentioned, the index p indicates here the plane of laser polarization (parallel-polarized signal channel). F i describes the ratio of transmission η for crosspolarized light to the transmission for co-polarized light for channel i. For the Polly system at Punta Arenas (used here), the F i values were determined from measurements with an artificial light source with a polarizer mounted in front of each channel (Mattis et al., 2009). The values are F t = 1.09 and F c = 800 for the far-range channels (FOV in ) and F t = 1 and F c = 500 for the near-range channels (FOV out ). The absolute calibration parameter C in Eq.
(2) is defined as and obtained from regular and automated clear-sky measurements. The so-called 90 • calibration method (formerly known as ± 45 • calibration) Freudenthaler, 2016;Engelmann et al., 2016) is applied to obtain highly accurate depolarization ratio observations for the FOV in channels (far-range receiver). In order to include this method in the automated measurement procedure of Polly, a remote-controlled rotary mount with a socalled sheet polarizer close to the focal plane of the receiver telescope was added to the system. This sheet polarizer is equipped with an off-center hole to measure without the polarizer into the light path in normal mode by rotating the hole onto the optical axis. Three times per day, the polarizer is rotated automatically by −45 and 45 • with respect to the laser polarization plane in the light path for calibration to determine the signal ratios δ (z) −45 • and δ (z) 45 • . The resulting profile of C slightly varies with height because of signal noise and slightly different conditions during the measure-ment periods with −45 and 45 • polarization. Thus, the most favorable conditions are cloud-free, clear-sky periods for the measurement of C. In practice, profile values over several kilometers in the vertical column are averaged to reduce the impact of signal noise on C.
The uncertainties in the measurements and data analysis in obtaining the volume depolarization ratio are caused, e.g., by the influence of laser linear polarization purity and uncertainties in the determination of the transmission ratios F i and the procedure to obtain the absolute calibration constant C. The uncertainties are discussed by Engelmann et al. (2016) and Belegante et al. (2018).
In our approach of a dual-FOV polarization lidar, we have to distinguish between measurements with FOV in and FOV out . Above, we described the retrieval of the volume depolarization ratio for FOV in . To indicate this we specify C = C in , δ = δ in , and F i = F i,in . As in the case of F i = F i,in , we can obtain F i,out for FOV out as well.
The calibration constant C out cannot be measured with the rotating polarizer. C out is obtained under the assumption that the volume depolarization ratios for FOV in and FOV out are equal under clear-sky conditions (i.e., in the absence of any cloud layer and related multiple scattering effects). It can be shown that for δ out (z) = δ in (z), After careful determination of the F i and C values for FOV in and FOV out we can now proceed to analyze cloud observations, as described in Sect. 4 in Part 1 (Jimenez et al., 2020).
The cloud-integrated volume depolarization ratio for FOV in signals as defined by Eq. (23) in Part 1 is now given by with δ in calculated from the cross-polarized and the total signal components: For FOV out , we obtain correspondingly with δ out calculated from the cross-polarized and the total signal components: The cloud-integrated depolarization ratios δ in (z bot , z ref ) and δ out (z bot , z ref ) and the ratio δ rat = δ in /δ out as defined by Eqs. (23)-(25) in Part 1 are the input in the retrieval of cloud microphysical properties as described in Sect. 4 in Part 1 and summarized in Table 1.

DACAPO-PESO and LACROS
The lidar observations at Punta Arenas (53.2 • S, 70.9 • W, 9 m above sea level, a.s.l.), Chile, were conducted in the framework of the DACAPO-PESO campaign from November 2018 to the end of 2020. DACAPO-PESO belongs to a series of long-term ACI-related field studies performed with the mobile LACROS station. Before that, we deployed LACROS for the 17-month field campaign CyCARE (Cyprus Clouds, Aerosol and Rain Experiment) at Limassol, Cyprus (October 2016 to March 2018) Ansmann et al., 2019), in the highly polluted and dusty eastern Mediterranean. All these campaigns are aimed at the central question: how do aerosol particles influence the evolution and microphysical properties of liquid-water, mixed-phase, and ice clouds and precipitation in different meteorological regimes and at contrasting levels of anthropogenic and natural aerosol concentrations? The novel dual-FOV polarization lidar fills an important gap and covers the ACI research in the case of liquid-water clouds. We upgraded meanwhile several Polly instruments to dual-FOV polarization lidars. Besides the lidar at Punta Arenas, another upgraded dual-FOV Polly was operated at the North Pole (aboard the German ice breaker Polarstern in the framework of the MOSAiC campaign (September 2019-September 2020). MOSAiC (Multidisciplinary Drifting Observatory for the Study of Arctic Climate; https:// mosaic-expedition.org, last access: 2 December 2020) is the largest Arctic field campaign ever realized. A new Polly, designed as dual-FOV polarization lidar from the beginning, is now operated at Dushanbe, Tajikistan, in a dusty and polluted region of Central Asia in the framework of a longterm (unlimited) CADEX follow-up campaign (since June 2019). CADEX (Central Asian Dust Experiment) (Hofer et al., 2017(Hofer et al., , 2020 was conducted from March 2015 to August 2016. In the framework of the 7-year project EX-CELSIOR (EXcellence Research Center for Earth SurveiLlance and Space-Based MonItoring Of the EnviRonment; https://excelsior2020.eu/the-project/, last access: 2 December 2020), we deployed a new dual-FOV Polly, integrated into the new EXCELSIOR supersite at Limassol, in October 2020. Finally, the fourth new dual-FOV Polly will be set up at Cabo Verde (in the summer of 2021) in the outflow regime of African dust and biomass burning smoke, as part of AC-TRIS.
The mobile Leipzig Cloudnet supersite LACROS (Bühl et al., 2013(Bühl et al., , 2016Ansmann et al., 2019) was run continuously at the University of Magallanes (UMAG) at Punta Arenas and covered two summer and winter seasons of aerosol and cloud observations during the DACAPO-PESO campaign. LACROS is equipped with the dual-FOV polarization lidar, a wind Doppler lidar, 35 GHz Doppler cloud radar, ceilometer, disdrometer, and microwave radiometer. In addition, an Aerosol Robotic Network (AERONET) sun photometer (AERONET, 2020;Holben et al., 1998) was operated.

Measurements
We discuss two measurement cases of the DACAPO-PESO campaign. The first case study (22 March 2019) deals with the development of an extended altocumulus field in the pristine free troposphere over Punta Arenas, Chile, during the autumn season. The full aerosol and cloud data analysis scheme is applied, the uncertainties in the cloud products obtained with the dual-FOV lidar are discussed, and the basic results (cloud extinction coefficient, effective radius) are compared with alternative independent retrievals. On 23 February 2019 (case 2), a long-lasting evolution of a stratocumulus deck at the top of the convective summertime boundary layer was observed. This case is used to illuminate the full potential of a dual-FOV polarization lidar regarding ACI studies in the case of liquid-water clouds.

Case study of 22 March 2019
Figure 2 provides an overview of the cloud conditions over Punta Arenas on 22 March 2019. The narrow FOV signal channels of the Polly lidar are used here. A complex layering of low-level liquid-water clouds, mid-level mixed-phase and upper tropospheric ice clouds was found on this autumn day. In Fig. 2a, optically thin, transparent ice clouds prevailed at heights above about 5 km, whereas optically thick liquid and mixed-phase clouds, indicated by dark blue columns above the clouds in Fig. 2a, dominated at heights below 4 km. The depolarization ratio was high with values of about 0.4 in the ice clouds caused by strong light depolarization by hexagonal ice crystals. Cloud droplets dominate light depolarization in the liquid-water clouds at heights below 4 km. The depolarization ratio monotonically increase from values around zero (for ideal spheres) to values around 0.15-0.2 caused by strong multiple scattering by water droplets. It should be mentioned that all POLLY instruments are tilted to an offzenith angle of 5 • to avoid a strong impact of specular reflection by falling, horizontally aligned ice crystals which lead to rather low depolarization ratios and, in this way, considerably disturb cloud observations and the separation of liquid-water, mixed-phase, and ice cloud layers.
The results of the Cloudnet classification (Cloudnet, 2020) in Fig. 3a are in good agreement with Fig. 2. The Cloudnet identification and classification method is based on cloud radar, microwave radiometer, and ceilometer observations (Illingworth et al., 2007;Bühl et al., 2016;Baars et al., 2017). According to the Cloudnet classification, the clouds below 3.5 km height were mostly liquid-water clouds (blue layers), partly mixed-phase clouds in the height range from 4-6 km, and pure ice clouds (yellow layers) higher up. The 0 and −10 • C temperature levels were observed at about 2 and 3.5 km height according to the radiosonde launched at Punta Arenas on 22 March 2019, 12:00 UTC. Some artifacts are visible. For example, the detection of ice crystals in the liquid layers at 3-3.5 km around 06:00 UTC and after 09:00 UTC is wrong and caused by missing ceilometer observations. The ceilometer laser beam could not penetrate the lower, optically dense cloud layer around 06:00 UTC. Figure 3b shows the respective dual-FOV polarization lidar observations. These measurements widely confirm the Cloudnet classification results. The observations are shown in terms of the ratio δ rat = δ in /δ out with FOV in = 1 mrad and FOV out = 2 mrad. It can be seen that the upper layers contained ice crystals which produce a strong, rather narrow, and non-depolarizing forward scattering peak so that both FOVs measure the same backscattering and depolarization features; therefore, δ rat was mostly close to 1.0 (reddish colors). In contrast, δ rat was clearly < 1.0 in the shallow altocumulus layers between 3 and 3.5 km height (yellow and green color) caused by a larger contribution to the depolarization ratio by droplet multiple scattering in the case of the larger receiver FOV out = 2 mrad. Even the presence of drizzle droplets at 1.5 km is detected in Fig. 2b. These large droplets cause δ rat values close to 1 because of a narrow forward scattering peak and similar multiple scattering effects in both FOVs.
In the following, we concentrate on the liquid-water cloud layer from 3-3.5 km height observed over several hours from about 04:30 UTC (01:30 local time) to 11:00 UTC (08:00 local time). The results of the dual-FOV polarization lidar measurements are shown in Fig. 4. The data analysis procedure was as follows: in the first step, the background and rangecorrected total backscatter signals, available with 30 s temporal resolution, were used to obtain the information about the cloud base height z bot . These signals were normalized to the maximum signal value P norm (z) of the total backscatter profile (in the lower part of the cloud layer). A threshold P norm (z) > 0.06 was set to estimate the cloud base height within the signal profile segment from below the cloud base up to about 100 m within the cloud layer. To avoid the influence of signal noise in the cloud base calculation, a smoothing over five height bins (37.5 m) was applied to the 30 s profiles. This smoothing was only performed for the determination of z bot . The approach is similar to the method of Donovan et al. (2015) to determine z bot of liquid-water clouds. The time series of the estimated cloud base height is shown in Fig. 4a.
In the next step, the cross-polarized and total signal components from the cloud base to 75 m (10 range or height bins) above the cloud base were averaged. A temporal resolution of 2 min was selected (Fig. 4). The integrated depolarization ratios δ in and δ out were calculated by using Eqs. (6)-(8) (in  Sect. 3.2). Then, we followed the data analysis strategy as illustrated in Fig. 8 in Part 1 and summarized in Table 1. We used δ rat = δ in /δ out for z ref = 75 m to determine R e (z ref ) by means of Eq. (26) (Part 1), and afterwards, δ in and R e to determine α(z ref ) with Eq. (27). By means of the cloud extinction coefficient and the droplet effective radius, we finally obtained the liquid-water content w l (z ref ) with Eq. (4) and the droplet number concentration N d (z ref ) with Eq. (6), again in Part 1.
As can be seen in Fig. 4 the shallow altocumulus field which developed in the pristine free troposphere in the Punta Arenas area showed cloud extinction coefficients around 20 km −1 (75 m above the cloud base) and droplet effective radii of initially 10 µm and later on around 7 µm. The liquidwater content was around 0.1 g m −3 , and the cloud droplet number concentrations increased from initially 30 cm −3 to 50-80 cm −3 later on. The properties found are typical of stratiform cloud layers (stratocumulus, altocumulus) in the marine environment (Miles et al., 2000;Revell et al., 2019).
In Fig. 5, the uncertainties in the cloud retrieval products are shown. The impact of the different error contributions discussed in Sect. 5 of Part 1 is given. The influence of un- certainties in the measured depolarization ratio profiles for the two FOVs computed using Eqs. (28) and (32) in Part 1 is in general small (on the order of < 5 % relative error). The retrieval uncertainties caused by an error in the estimate of the cloud base (CB) height z bot ( ± 15 m uncertainty or 10 %-15 % relative error; see Eqs. (30) and (34) in Part 1) and caused by the theoretical (methodological) aspects (8-15 % relative error; see Eqs. (29) and (33)  As discussed by Schmidt et al. (2013Schmidt et al. ( , 2014 a bias can be introduced when backscatter signals during periods with varying cloud base height resulting from up and downward motions are averaged. Then, in the lowest part of the cloud, signals from cloud-free and cloudy air parcels may be averaged which causes this bias. Such an effect cannot be excluded when using the dual-FOV Raman lidar method, whereby signals over 10-30 min must be averaged before cloud microphysical properties can be derived. However, the high temporal resolution now achievable with the new dual- Figure 5. Contribution of the different error sources in the retrieval of the cloud extinction coefficient (a) and droplet effective radius (b) shown in Fig. 4. In (a), the impact of instrumental uncertainties is calculated with Eq. (32) in Part 1 (Jimenez et al., 2020), the uncertainty in the cloud base (CB) determination with Eq. (34), and theoretical uncertainties with Eq. (33) in Part 1. In (b), the impact of instrumental uncertainty is calculated with Eq. (28), the influence of the CB uncertainty with Eq. (30), and theoretical uncertainties with Eq. (29). The uncertainty in the CB determination and the methodological (theoretical) uncertainties dominate the overall retrieval uncertainties.
FOV polarization technique is of advantage in this respect, so we assume that related uncertainties are small.
Another uncertainty aspect arises from the fact that we observe the cloud layers with two different field of views (i.e., with two different eyes) and, thus, monitor two different portions (or cross sections) of the cloud in the horizontal plane. Our method assumes horizontally homogeneous cloud conditions, so that the multiple scattering effect is the only reason for differences in the measurements at the two different FOVs. However, in reality, horizontal variations in terms of droplet number concentration, size distribution, and cloud extinction coefficient always occur and can, in principle, affect the quality of the cloud retrieval products. We checked this potential impact by correlating the separately measured values of depolarization ratios for FOV in and FOV out . The scatter in the data was very low and did not indicate any significant influence of horizontal cloud inhomogeneities on the ratio δ rat from which the effective radius of the cloud droplets is retrieved. The necessary signal averaging over 30 to 120 s may smooth out most of the existing inhomogeneities so that the overall impact is further decreased. A good sign for a negligible impact of horizontal fluctuations in the cloud properties is finally when the time series of the derived values for the different cloud parameters show a coherent behavior. Figure 6 shows comparisons of our solutions for the cloud extinction coefficient and droplet effective radius with respective results obtained with the single-FOV (SFOV) polarization lidar method (Donovan et al., 2015) and a technique solely based on cloud radar observations of the radar reflectivity factor (Frisch et al., 2002). Here, we used our 35 GHz cloud radar measurements simultaneously conducted at Punta Arenas. The SFOV lidar method is based on cloud simulations with a Monte Carlo multiple scattering model (Donovan et al., 2010) and, as a result of the lidar simulations, on computed lookup tables of the cross-and copolarized signal strengths as a function of cloud microphysical properties. In the case of the Polly instruments, the copolarized signal is given by the difference of the total minus the cross-polarized signal. The SFOV technique searches for the optimum solution of cloud microphysical properties (cloud extinction coefficient, droplet effective radius) which are consistent with the measured height profiles of the copolarized and cross-polarized lidar backscatter signals. The products are given as mean values for the lowest 100 m of the liquid-water cloud layer. For the comparison, we used our solutions for 75 m above the cloud base and the profile structures shown in Fig. (4) in Part 1 to compute the respective mean values of α and R e for the lowest 100 m within the cloud layers. Note that we started from the SFOV lidar approach to develop the dual-FOV (DFOV) polarization lidar technique. One advantage of the SFOV polarization technique is that it can directly be used by widely distributed polarization lidars (with one FOV). The technique however requires a complicated treatment of the lidar data to perform the retrieval. On the other hand, the DFOV polarization technique allows a much more straightforward retrieval, exploiting the direct relationship betweenδ rat and R e .
As can be seen in Fig. 6a, the SFOV polarization lidar slightly underestimates the effective radius of the droplets compared to the other two methods. We used the 1 mrad FOV channel here, as commonly used by widespread polarization lidars. If we use the 2 mrad FOV channel, which is more sensitive to depolarization features caused by multiple scattering in water clouds, the agreement with the SFOV approach may improve.
The good agreement of our results with the respective cloud radar solution in Fig. 6b corroborates the quality (accuracy) of our retrieval products. The radar method simply uses the high correlation between the radar reflectivity factor and effective radius. In this retrieval procedure, a lognormal droplet size distribution is assumed, and the cloud droplet number concentration N d and the width of the size distribution are needed as input parameters. However, the dependence of the solutions on these input parameters is weak as the solution with different input values indicates. In Fig. 6, we assumed N d = 100 cm −3 (as a typical value for liquidwater clouds) and a logarithmic width of 0.29 as reported for marine stratocumulus over the Southern Ocean (Martin et al., 1994).
The agreement between the SFOV and DFOV solutions is very good in the case of the cloud extinction coefficient. The SFOV polarization lidar technique is obviously robust enough to retrieve the cloud extinction coefficient with good accuracy from the measured cloud depolarization ratio values. This observation is also consistent with Fig. 7 of Dono-van et al. (2015). The retrieved extinction coefficient was found to be not very sensitive to depolarization ratio calibration errors, in contrast to the retrieved values of the effective radius of the droplets. Figure 7 shows the aerosol conditions determined from the lidar observations at FOV in = 1 mrad for this cloud event. We analyzed the altocumulus-free period from 07:45 to 08:45 UTC (see Fig. 2). It was still dark during this time, so we could use the Raman lidar option to determine the height profiles of the particle extinction coefficient at 355 and 532 nm wavelength Hofer et al., 2017).

Aerosol and CCN conditions
As can be seen in Fig. 7a, the particle extinction coefficient α par at 532 nm was in the range of 5-10 Mm −1 for the height range from 1.5 to 2.5 km height and even lower at the cloud base at 3 km of the cloud layer developing after this cloud-free period. The lidar-derived 532 nm aerosol optical thickness (AOT) was low, with values of 0.04, consistent with the 500 nm AOT of 0.03 from the AERONET sun photometer observations on 22 March 2019 after sunrise (13:00-16:00 UTC) (AERONET, 2020).
The different relative humidity profiles in Fig. 7c indicated a comparably low relative humidity (< 70 %) and thus a low particle water-uptake effect Haarig et al., 2017) in the height range from 1.6-2.2 km marked by dashed lines in Fig. 7. Our extinction-to-N CCN conversion model, described in Sect. 6 in Part 1 (Jimenez et al., 2020) (see also Table 1), is applicable for these conditions. By assuming pure marine conditions and sea salt particles as CCN, the conversion yields N CCN = 40 cm −3 for an assumed water supersaturation of 0.2 % during droplet formation at the cloud base. Such low supersaturation values correspond to the occurrence of weak updrafts with vertical velocities of about 20 cm s −1 at the cloud base. By applying the continental fine-mode aerosol model, we obtain 160 cm −3 assuming urban haze or fire smoke conditions in the lower free troposphere above Punta Arenas. As shown in Fig. 4e, the cloud droplet number concentration N d ranged from 50-100 cm −3 .
HYSPLIT backward trajectories (Hybrid Single-Particle Lagrangian Integrated Trajectory Model) (Stein et al., 2015;Rolph et al., 2017;HYSPLIT, 2020), not shown here, indicated westerly winds from the Southern Ocean during the last 5 d before the air mass crossed the lidar station. According to the Ångström exponent in Fig. 7b, describing the wavelength dependence of the extinction coefficient in the short-wavelength range (355 to 532 nm), traces of continental aerosol (haze or smoke) may have been present in the free troposphere over the lidar site. One option for the occurrence of fine-mode particles could be severe bush fires on the east coast of Australia in February and March 2019. The Ångström exponent is defined as ln(α par (λ 1 )/α par (λ 2 ))/ ln(λ 2 /λ 1 ) and typically 0.35 ± 0.2 for the 355-532 nm wavelength range and 0.45 ± 0.2 in the case Figure 6. Comparison of (a) droplet effective radius values R e (mean values for the lowest 100 m in the liquid-water cloud layer) and (b) respective mean extinction coefficient values α obtained with the single-FOV polarization lidar method (SFOV-Depol) (Donovan et al., 2015) and the dual-FOV polarization lidar technique (DFOV-Depol) for the case shown in Fig. 4. In addition, the results (in green) obtained with a cloud radar approach (Frisch et al., 2002) are shown in (a). Observations of the radar reflectivity factor performed with the LACROS 35 GHz cloud radar at Punta Arenas are used here. Error bars indicate the uncertainty range.
of the widely used Ångström exponent for the visible-near-IR wavelength spectrum (440-870 nm spectral range). Such low Ångström exponents clearly below 1 were observed at heights below 1 km in Fig. 7b.
However, it is more likely that pure marine conditions prevailed but that the marine coarse-mode particle fraction (large sea salt particles) was widely removed by sedimentation or cloud events in which the large sea salt particles were preferably consumed as CCN and then removed by rainout. As a response to the removal of coarse-mode particles, the Ångström exponent increases. The apparent discrepancy between the low marine N CCN of about 40 cm −3 and the much higher N d values (80-100 cm −3 ) is possibly caused by the 0.2 % supersaturation assumption in our N CCN retrieval. The Doppler lidar of LACROS showed the occurrence of gravity wave structures with a pronounced updraft period (45 min) from about 08:45 to 09:30 UTC on 22 March 2019 (when a cloud layer formed after the cloud-free period) and vertical winds mostly between 0.5 and 1 m s −1 , and partly exceeding 1 m s −1 , so that the water supersaturation was probably clearly higher than 0.5 %. At these higher supersaturation conditions the CCN concentration is higher by a factor of about 2 than the value for the 0.2 % supersaturation level, as discussed in Mamouri and Ansmann (2016) and recently in Regayre et al. (2020) for Southern Ocean marine CCN conditions. In addition, at such strong vertical winds, even nonsea-salt marine sulfate particles (nss-SO 2− 4 ) (Fossum et al., 2020) may have served as CCN. The sulfate-particle-related CCN concentration can be 1 to 2 orders of magnitude higher than the sea-salt-particle-related CCN numbers (Fossum et al., 2020). This aerosol species is not considered in the ma-rine conversion model  presented in Sect. 6 of Part 1.

Case study of 23 February 2019
The second case of the DACAPO-PESO campaign is selected to highlight the significantly improved potential of lidar to contribute to ACI studies with a focus on liquid-water clouds. By means of the new dual-FOV polarization lidar technique, cloud and aerosol information can be derived with high temporal resolution which allows us to resolve different phases of the cloud evolution and life cycle and to investigate the impact of individual updrafts on the droplet nucleation rate, droplet growth, and corresponding evolution of the effective radius and the N d -N CCN relationship in great detail. Schmidt et al. (2014Schmidt et al. ( , 2015 developed a new strategy to investigate ACI by integrating vertical wind observations with a Doppler lidar. The closest relationship between the number of CCN below the cloud base and the freshly formed cloud droplets was found during updraft periods. The ACI parameter E ACI,α par (N d , α par ) (see Table 1 and the discussion in Sect. 6 in Part 1) was around 0.4 when ignoring the meteorological impact (vertical motion) and about 0.8 when lidar observations exclusively performed during updraft times were considered (Schmidt et al., 2015). However, the database of Schmidt et al. (2014Schmidt et al. ( , 2015 was small (< 30 individual cloud cases). When using the dual-FOV Raman lidar technique, long signal averaging times are required. More than 200 cloud events were collected, but only in 27 cases were the observational constraints fulfilled (need for clear skies below the cloud layers over the long signal averaging times of 10-30 min and also a relatively constant cloud base height  Figs. 2 and 4). (a) Particle extinction coefficient at 355 and 532 nm (NR indicates the determination from Raman signal profiles measured with the near-range of FOV out telescope), (b) Ångström exponent (355-532 nm spectral range) computed from the extinction profiles in (a), and (c) relative humidity profiles, calculated from the Raman lidar observation of the water vapor mixing ratio (for the time period from 07:45-08:45 UTC, in yellow), by using the respective GDAS temperature profile (not shown), relative humidity taken from the GDAS data set (orange), and as measured with the Punta Arenas radiosonde (blue, launched at 12:00 UTC). The mean values of the particle extinction coefficients α 355 at 355 nm and α 532 at 532 nm for the height range from 1.6-2.15 km (driest region, indicated by dashed horizontal lines) are given as numbers in (a). The layer mean 532 nm extinction coefficient is used to derive the N CCN range by assuming pure marine conditions (minimum value) and pure urban haze conditions (maximum value) and a supersaturation of 0.2 % during droplet nucleation events. The dashed vertical lines in (b) indicate different Ångström values for the boundary layer and for the relatively dry part of the free troposphere below the cloud deck. during these 10-30 min). These restrictions were required to avoid biases in the data analysis and thus allow a trustworthy ACI study. All these shortcomings are widely overcome now by using the new dual-FOV polarization lidar technique.
We start with Fig. 8a which shows a 6 h cloud measurement at Punta Arenas on 23 February 2019. Liquid-water cloud parcels permanently formed at the top of the convective summertime planetary boundary layer (PBL) between 15:00 and 21:00 local time (18:00-24:00 UTC). HYSPLIT backward trajectories (not shown) indicated pure marine conditions with an airflow from southwest (from the Southern Ocean). GDAS relative humidity (RH) values ranged from 60 %-65 % (at 500 m height) and 75 %-85 % (at 1000 m height) and were around > 95 % about 100 m below the cloud base during the 18:00-24:00 UTC period (GDAS, 2020). The aerosol particle extinction coefficient α par decreased with time and indicated a significant reduction of aerosol particles during the last 2 h of the measurement period (22:00-24:00 UTC; see Table 2). The particle extinction coefficient is calculated from the measured aerosol backscatter coefficient multiplied by a typical marine extinction-to-backscatter ratio of 25 sr at 532 nm (more details of the determination of Table 2. Mean values and standard deviations of cloud properties observed in the liquid-water cloud layer at 3 km height on 23 February 2019. The aerosol properties for the height range from 375-600 m below the cloud base are given in addition. During the selected averaging periods (before and after 22:00 UTC), very different cloud and aerosol properties were found. backscatter coefficient profiles below a cloud deck are given in Sect. 6.1 in Part 1). Figure 8b shows the convective structures of the PBL in terms of the vertical wind component measured with the zenith-pointing Doppler lidar of LACROS (Cloudnet, 2020). Varying periods with upward (orange) and downward motions (green) were observed. Most updraft velocities were < 0.5-0.7 m s −1 ; however some strong updrafts with velocities > 1 m s −1 occurred as well. The up-and downdrafts modulated cloud formation and cloud base height variations. Water uptake by the aerosol particles at relative humidity > 75 % (close to the cloud base) influenced the strength of the lidar return signals, especially during upwind situations. The dashed lines in Fig. 8a follow the variations of the cloud base height z bot and indicate 10 further height levels from 75-750 m below the cloud base. These height levels (z aer in the ACI sketch in Fig. 4 of Part 1) are used in the discussion of the results regarding ACI below. Figure 9 presents the time series of the cloud droplet number concentration N d for the height z ref = z bot + 75 m (see Fig. 4 of Part 1) obtained from the dual-FOV polarization lidar measurements together with the vertical wind indicator (orange for updraft, green for downdraft) and the aerosol proxies α par and N CCN . The aerosol proxies are mean values for the height range from 375-600 m below the cloud base at z bot and thus for the height range from z aer = z bot − 375 m to z aer = z bot −600 m according to Fig. 4 in Part 1. The temporal resolution in Fig. 9 is 1 min. The marine aerosol conversion parameterization ) is applied to obtain N CCN (see Table 1; more explanations are given in Sect. 6 in Part 1). This conversion corrects for aerosol wateruptake effects for a typical marine RH of 80 % and holds for the water supersaturation level of 0.2 %. Error bars indicate the retrieval uncertainty of 20 % (marine particle extinction coefficient α par ) and 50 % (N d , N CCN ). Figure 9 shows that the cloud droplet number concentration N d varied strongly and was clearly correlated with updraft occurrence during the 19:30-24:00 UTC time period,   (Jimenez et al., 2020). Temporal resolution is 1 min. Error bars indicate the uncertainty range.
whereas the aerosol proxies N CCN and α par were likewise smooth functions of time. However, the true or actual N CCN values probably showed large variations because the CCN level (actually occurring) depends on actual updraft speed and the related actually occurring supersaturation level. For updraft velocities of 1 m s −1 and corresponding supersaturation exceeding 0.5 %, N CCN is approximately a factor of 2 higher than the ones shown for the fixed 0.2 % water supersaturation as outlined in Mamouri and Ansmann (2016) and already pointed out in Sect. 4.1.
On average, N d ranged from 20-100 cm −3 before 21:30 UTC and 10-30 cm −3 later on. Peak values exceeded 200 cm −3 . The aerosol parameters N CCN and α par , indicating clean conditions (with horizontal visibility > 50 km), were mostly in the range of 20-40 Mm −1 before 21:15 UTC and 10-25 Mm −1 later on in the case of α par and > 100 cm −3 before 21:15 UTC and clearly < 100 cm −3 later on in the case of N CCN . The decrease of N d with time is in line with the decrease of N CCN and α par . Table 2 summarizes the aerosol and cloud observations and contains mean values of all derived aerosol and cloud properties for two time periods characterized by different aerosol conditions.
Besides aerosol and cloud correlations, our measurements allow us to look into the effect of vertical wind velocity (especially of updrafts) on the observed cloud products. The number of aerosol particles and the updraft velocity (and accompanying adiabatic cooling) (Reutter et al., 2009) controls CCN activation and droplet growth. Upward movements affect the water vapor saturation pressure in the cloud base region. The stronger the updraft is, the larger the water supersaturation is, enabling aerosol particles to become activated and grow. In Fig. 10, the impact of upward (and downward) motions on the measured cloud properties N d , R e , and α par is illuminated for the observation on 23 February 2019. For comparison, we also included the respective variations of the aerosol proxy N CCN .
Such correlations of N d and R e with vertical velocity at the cloud base are new options of combined dual-FOV and Doppler lidar profiling. As can be seen, very clear correlations were not found. A pronounced influence of updraft speed on N d and R e cannot be expected in this case of a longlived, well-developed stratocumulus cloud deck. At such preexisting cloud conditions there is a competition between droplet nucleation and water uptake by the existing droplets in the case of a given supersaturation. Advection and diffusion processes mix different droplet concentrations together. Besides condensation of water vapor on existing droplets and new droplet formation, collision-coalescence processes shape the size distribution measured over the lidar station. All cloud features observed are related to processes that occurred upstream of the lidar. However, even in these cases of complex cloud processes, we expect that a residual effect of the aerosol concentration variations found on the droplet microphysical properties during updraft periods should be detectable. Updraft speeds of 0-70 cm s −1 occurred most of- Figure 10. Correlation of retrieved cloud properties (droplet effective radius R e , number concentration N d , and 532 nm lightextinction coefficient α) and aerosol CCN concentration N CCN (for a fixed water supersaturation level of 0.2 %) vs. vertical wind measured with Doppler lidar at the cloud base. The data in Fig. 9 are used. The data are observed with 1 min temporal resolution in a well-developed stratocumulus deck at the top of the pristine marine boundary layer. Figure 11. Cloud droplet number concentration N d (for height z ref = 75 m above the cloud base) vs. aerosol particle extinction coefficient α par , separately for (a) updraft and (b) downdraft periods. The N d and α par values shown in Fig. 9 are used (375-600 m below the cloud base). In total, almost 260 values were available for the regression analysis. Error bars show the uncertainties in the N d and α par values. The linear regression fits a straight line to the logN dlogα par data field with the slope E ACI,α par = 0.87 ± 0.26 (orange slope) and 0.58 ± 0.17 (green slope). The mean droplet number concentration (given as numbers) was about 50 % higher during the updraft periods than during the downdraft periods.
ten. For these weak to moderate updraft velocities N d and N CCN (for the supersaturation of 0.2 %) were then found in the range from 15-100 and 75-200 cm −3 , respectively. Obviously the true supersaturation was about 0.1 %-0.15 % (to obtain an activation ratio N d /N CCN =1). New droplet formation and growth of existing droplets by water uptake led to a slight increase of the cloud extinction coefficient in many cases. A weak reduction of the mean effective radius during upward motions may indicate new droplet nucleation in the presence of existing droplets.
Our observations of N d and N CCN are in good agreement with values presented by Revell et al. (2019). In this modelbased study, simulated N CCN values (for a supersaturation of 0.2 %) were in the range from 50-80 cm −3 during the late summer season (February and March), and N d showed values from 30-50 cm −3 for boundary layer clouds at 800 m height under pure marine conditions of the Southern Ocean. According to the recent publication of Regayre et al. (2020), N CCN is usually underestimated by a factor of 2 in models focusing on aerosols and clouds in the Southern Ocean. Our lidar-derived N CCN values are in very good agreement with the CCN numbers presented by Regayre et al. (2020) of usually 100-200 cm −3 . These authors constrained their simulations to recent CCN observations aboard a Russian research vessel traveling around the entirety of Antarctica (Schmale et al., 2019). Our findings are also in reasonable agreement with airborne in situ observations of N d and N CCN over the Southeast Pacific stratocumulus cloud regime west of northern Chile (Zheng et al., 2011;Painemal and Zuidema, 2013).
Some caution has to be exercised in the interpretation of the results in Fig. 10 because of the uncertainties in the retrieval products discussed above (case study 1) and because of the assumptions made in the development of the dual-FOV polarization lidar technique. We assume subadiabatic conditions and corresponding profile structures for the different cloud parameters as shown in Fig. 4 of Part 1 for the lowermost 75 m of the cloud layer. We also assume a gamma size distribution to describe the droplet size spectrum. These assumptions may no longer hold for an aged, preexisting cloud layer (especially not during downdraft periods) in which droplet collision and coalescence processes, entrainment, and droplet evaporation take place. However, the gamma size distribution and subadiabatic cloud conditions were introduced to develop our dual-FOV lidar method with a focus on the most interesting scenarios (updraft periods). The new method is primarily based on the strong relationship between the measured ratio δ rat = δ in /δ out and the droplet effective radius R e and the clear relationship between the depolarization ratio δ in (for FOV in ) and the cloud extinction coefficient α for a given R e value, known from the first part of the retrieval procedure.
Disregarding the complex cloud structures, processes, and features found, we computed the ACI parameter E ACI,α par (N d , α par ) (see Table 1 and Sect. 6 in Part 1 for more explanations). In Fig. 11, the correlation between the derived N d and measured α par values (in Figs. 9 and 10) are considered separately for updraft and downdraft periods. We use the particle extinction coefficient α par (and not N CCN ) in the correlation because this quantity is directly obtained from the lidar observations with a low uncertainty of 20 %. Disregarding the aerosol proxy used, we notice a large scatter in the correlated data. This is typical of aerosol and cloud Figure 12. ACI efficiency parameter E ACI (see Table 1 and Sect. 6 in Part 1 for detailed explanations) as a function of N d and α par (solid curves, E ACI,α par ) and as a function of N d and N CCN (dashed curve, E ACI,N CCN ), separated for updraft periods (orange) and downdraft periods (green). Different values of aerosol proxies α par and N CCN for different layers (with 75 m vertical depth and increasing distance from the cloud base towards lower heights) are considered in the calculations of the four E ACI parameters (as explained in Fig.11). The ACI efficiencies are assigned to the center heights of these 75 m deep aerosol layers for which the aerosol proxies were determined. E ACI values around 400 m below the cloud base are obviously not affected by aerosol water-uptake effects which tend to widely smooth out a well-defined and strong correlation between aerosol proxy and cloud droplet number concentration. Error bars indicate the uncertainty in the determination of the slopes of the linear regression analysis. parameters determined in well-developed, preexisting liquidwater cloud layers (McComiskey et al., 2009). As mentioned above, the large scatter is caused by the strong variability of N d (as a function of the varying vertical wind conditions) compared to the low variability in the particle extinction coefficient which is not a function of vertical wind velocity. To obtain E ACI,α par (N d , α par ) a linear regression analysis is applied to the log(N d )-log(α p ) data field. E ACI,α par (N d , α par ) is equal to the slope of the regression line. As expected, the aerosol impact on N d is stronger for upward motions. However, we should emphasize again that we present just one case study (in order to show the potential of the dual-FOV lidar) so that general conclusions on the relationship between N d and N CCN can not be drawn in this stage of data analysis. Presently we analyze the entire Punta Arenas data set (collected in 2019-2020) along the data analysis steps presented here.
As a final task, we applied such correlation studies and regression analysis as presented in Fig. 11 to the full sets of N d , α par , and N CCN data. We performed regression analyses with different sets of aerosol proxies for different height levels z aer below the cloud base height z bot (as illustrated in Fig. 4 in Part 1 and indicated by the 10 dashed lines in Fig. 8a) to investigate to what extent water uptake corrupts the ACI study. The result is shown in Fig. 12.
The respective ACI efficiency values E ACI are assigned to the heights of the aerosol layers (with respect to the cloud base) of which the aerosol proxies were considered in the E ACI computations. This way of presenting the ACI efficiency values allows us to check the impact of water uptake by the marine particles when the relative humidity steadily increases and reaches 100 % at the cloud base. As can be seen, the ACI efficiency E ACI for well-defined updraft conditions decreases from values close to 1 (the optimum value for the expected strong impact of marine particles on the droplet number concentration) at heights around 400 m below the cloud base to values around 0.5 very close to the cloud base. Obviously, water uptake leads to a broadening of the range of observable extinction coefficients. For dry or almost dry particles, the extinction coefficients vary over a more narrow range, so the relative increase of the directly measured log(α par ) is proportional to the relative increase in logN d . This is no longer the case when all particles grow by water uptake. Then the increase of log(α par ) is linked to a much lower relative increase of the droplet number concentration (lower by a factor of almost 2). For downdraft periods the decrease of E ACI with water-uptake effects is less clear and pronounced as can be seen in Fig. 11 because of the generally not well-defined link between droplet nucleation and available CCN.
It is interesting to note at the end that Shinozuka et al. (2015) found that the maximum value of E ACI,α par (N d , α par ) can only be about 0.8-0.85, i.e., when the aerosol particle extinction coefficient α p is used as aerosol proxy. E ACI = 0.9-1.0 is only possible when N CCN is considered as shown in Fig. 12. The reason for this is that N CCN is proportional to α 0.85 par and not to α par in Eq. (36) in Part 1.

Summary, conclusions, and outlook
In a companion article (Jimenez et al., 2020), we presented a new polarization-lidar-based approach to derive microphysical properties in the lower part of pure liquid-water clouds. Extended simulations were performed regarding the relationship between cloud microphysical and light-extinction properties and the cloud depolarization ratio measured with lidar at two different FOVs. These simulations served as the basis for the development of the new dual-FOV polarization lidar method. The effective radius of the cloud droplets and the cloud light-extinction coefficient in the lowest 50-100 m of the cloud layer can be derived with a relative error of 20 %-25 %. From the quantities, the cloud droplet number concentration can be computed with an error of the order of 50 %. In Part 2, the new lidar technique was combined with the aerosol polarization lidar method, which enables the retrieval of CCN concentrations below the cloud base, and with Doppler lidar observations of the vertical wind component and thus of updraft and downdraft occurrence at the cloud base. We integrated the novel dual-FOV polarization lidar technique into a multiwavelength polarization Raman lidar (Polly), which is now involved in the long-term DACAPO-PESO field campaign in Punta Arenas, southern Chile, at the southernmost tip of South America.
Two case studies were presented. Case 1 was used to discuss the basic and principle features of the new cloud retrieval technique. This case study included an uncertainty discussion and comparisons with alternative approaches to derive cloud microphysical properties such as the single-FOV polarization lidar technique (Donovan et al., 2015) and a cloud-radar-based approach (Frisch et al., 2002). Good agreement was found.
Case 2 highlighted the new and extended potential of lidar to contribute to detailed ACI studies in the case of liquidwater clouds. Profiling of aerosol-relevant aerosol parameters close to the cloud base, cloud microphysical properties just above the cloud base, and vertical wind with 1 min resolution was possible and enabled a detailed updraft-and downdraft-resolved ACI study. For typical updraft conditions with vertical velocities < 50-70 cm s −1 , we found N d and N CCN values (for 0.2 % water supersaturation) ranging from 15-100 cm −3 and 75-200 cm −3 , respectively, in the welldeveloped, preexisting stratocumulus deck at the top of the pristine marine boundary layer over Punta Arenas. ACI studies were performed separately for updraft and downdraft conditions with the particle extinction coefficient α par as well as with N CCN as aerosol proxy. High ACI values of 0.8-1.0 were found. The impact of aerosol water uptake on the ACI studies was illuminated with the result that the highest ACI values were obtained by considering the aerosol proxies α par or N CCN measured at heights about 500 m below the cloud base (and thus for dry aerosol conditions) in the ACI computations.
As an outlook, we will extend our ACI studies by means of the dual-FOV lidar method. We equipped three further Polly instruments with the dual-FOV polarization lidar technique. These lidars are or were operated at the North Pole (at 85-90 • N) on board the German ice breaker Polarstern from September 2019 to September 2020, at Dushanbe, Tajikistan, at polluted and dusty conditions in Central Asia since June 2019, and at Limassol, Cyprus, in the polluted and dusty eastern Mediterranean since October 2020. A fourth dual-FOV Polly lidar will start long-term monitoring at Mindelo, Cabo Verde, in the outflow regime of pollution and dust from western and central Africa in 2021. A mobile dual-FOV Polly will be moved to New Zealand for further ACI studies in the Southern Ocean in 2021. All these field activities will be used to characterize ACI in the case of liquid-water clouds at very different aerosol and meteorological conditions.
We are presently analyzing the data of Punta Arenas and Dushanbe and are preparing a follow-up paper (tentative title: "Aerosol effects in liquid-water clouds: contrasting lidar ob-servations in dusty, polluted Central Asia and clean, southern South America"). Another goal is to initiate the further upgrading of the existing European lidar-radar network by implementing the dual-FOV lidar technique at several network supersites.
The integration of the dual-FOV-polarization lidar technique into the LACROS infrastructure can be regarded as the next systematic step to improve the capability of state-of-theart ground-based remote sensing towards an overall monitoring of aerosol-cloud interaction in liquid-water clouds as presented here and mixed-phase clouds and cirrus layers as presented recently by Bühl et al. (2019) and Ansmann et al. (2019).
Author contributions. CJ and AA prepared the manuscript. CJ developed the new method and analyzed all field campaign observations. CJ, RE, and RW upgraded the Polly instrument. CJ, RE, PS, MR, BB, and JB took care of the DACAPO PESO campaign and the field campaign instrumentation. ZY determined the lidar calibration constants (for the aerosol retrieval below the cloud base). JB took care of the vertical wind retrievals. DD developed the code to analyze single-FOV polarization measurements. PS took care of the radar-based retrieval. DD, AM, PS, JS, and UW supported the discussion and interpretation of the observations.