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Surface Plasmonic Sensors: Sensing Mechanism and Recent Applications

Surface plasmonic sensors have been widely used in biology, chemistry, and environment monitoring. These sensors exhibit extraordinary sensitivity based on surface plasmon resonance (SPR) or localized surface plasmon resonance (LSPR) effects, and they have found commercial applications. In this review, we present recent progress in the field of surface plasmonic sensors, mainly in the configurations of planar metastructures and optical-fiber waveguides. In the metastructure platform, the optical sensors based on LSPR, hyperbolic dispersion, Fano resonance, and two-dimensional (2D) materials integration are introduced. The optical-fiber sensors integrated with LSPR/SPR structures and 2D materials are summarized. We also introduce the recent advances in quantum plasmonic sensing beyond the classical shot noise limit. The challenges and opportunities in this field are discussed.


Introduction
In the last century, numerous pioneering researchers have laid the foundations of plasmonic optics [1][2][3][4][5][6]. This has stimulated significant advances in negative refractive index materials, optical metasurfaces, and integrated circuits, etc. [7][8][9][10][11][12]. Surface plasmon resonance (SPR) is the resonant coupling of electromagnetic waves to the charge density oscillations at the interface of dielectrics and metals, which is also recognized as surface plasmon polaritons (SPPs) [13]. Given the large optical momentum mismatch between SPP-mode and light in free space, the optical excitations in SPR are usually realized by the method of attenuated total reflection, proposed by Kretschmann [14] and Otto [15]. The optical gratings [16,17] and waveguides with compact coupling structures [18] are also widely employed for SPR-integrated circuits. The localized surface plasmon resonance (LSPR) is collective electron oscillation in metal nanoparticles coupled with an electromagnetic field [7]. From the optical mode analysis, the SPR modes are bound solutions to the wave equation, while LSPR are responsive modes to the illuminated light field, which is highly damped [19]. Thus, the LSPR can be directly excited from free space without following the critical momentum matching.
Both SPR and LSPR structures are attracting platforms for the optical sensors due to their strong confinement and enhancement of the electromagnetic field near the surface [20,21]. The representative diagrams of SPR and LSPR used for sensing are shown in the center of Figure 1. The typical decay length of SPR structure is of 100-600 nm [22], and the LSPR has much shorter decay length of 5-60 nm [23]. Thus, it is regarded that the SPR structure is more suitable for the detection of larger biomolecules, while LSPR is better for tracing smaller biomolecules. Optical plasmonic sensors have already exhibited the ability of real time, label-free sensing, and have shown extraordinary sensitivity. They have had successful applications in the field of chemistry [24], biology [25][26][27], medicine [28] and food safety [29], etc. In general, the mechanism of these sensors is mainly based on the single mode of SPR and LSPR or their hybrid modes. Theoretically, SPR and LSPR have the advantages of tunable resonant response in wavelength, intensity and phase, and the plasmonic sensors can be optimized through manipulating the geometric structures and functional materials. The light-matter interaction through the evanescent field of plasmonic structures is the common mechanism for analytes detection [30]. The detecting approaches used in SPR/LSPR sensors include analyzing the changes of wavelength [31], angular [32], phase [33] and polarization [34] parameters of the plasmonic structures. Note that the basic physical parameter that can be directly measured is light intensity; thus, different interrogation systems conventionally utilize optical instruments to convert changes in phase, angle, polarization into intensity variations [35]. Despite the tremendous success of plasmonic sensors, it is recognized that the sensitivity and precision of plasmonic sensors are beginning to reach a fundamental limit by quantum fluctuations of light known as shotnoise limit (SNL) regardless of whether intensity or phase is measured [36,37]. Recently, quantum techniques have been identified to out-perform classical sensing methods and achieve sensitivity beyond the SNL [38][39][40][41][42].
In this review, we mainly introduce the recent progress of plasmonic refractive index (RI) sensors from classical measurement to the quantum metrology as summarized in Figure 1. In Section 2, we discuss the basic figure of merits to evaluate plasmonic sensors, which can be readily extended to other optical sensors. In Section 3, we mainly focus on metastructure-based plasmonic sensors with different physical effects and functional materials. In particular, we introduce the LSPR-based RI sensing, and the emerging field of chiral sensors are highlighted. Hyperbolic metamaterials with indefinite in-plane momentum and Fano resonances with asymmetric sharp spectra are discussed for sensing applications. In Section 4, the LSPR and SPR modes in optical fiber-based plasmonic sensors are introduced. The integration of two-dimensional (2D) materials with excellent physical and chemical properties in plasmonics structures are reviewed. In Section 5, we introduce the rising field of quantum plasmonic sensing. The plasmonic sensors with quantum state measurement and cavity quantum electrodynamics are introduced. Finally we discussed the challenges and opportunities in plasmonic sensors.

Performance Characteristics of Plasmonic Sensors
In this section, we discuss the basic parameters that are used to evaluate the plasmonic RI-sensors. The bulk RI sensitivity of optical sensors is generally defined as [30]: where A represents the parameters that are measured (angular, wavelength or intensity), and n is the RI of analytes. For plasmonic sensors, the S can be varied from 50 nm/RIU (refractive index unit) to 30,000 nm/RIU depending on the designed structures and materials [43]. In addition, the linear relationship between A and n is usually required for practical applications, so a correlation coefficient factor can also be taken into consideration [44]. Another important parameter is figure of merit (FOM) [45], which is defined as: where the FWHM is the full width at half maximum of resonance spectra. The FOM defines the ability of sensors to measure small RI change; thus, a larger FOM is desirable. Generally, the FOM of plasmonic sensors is low due to the intrinsic loss of metals. Fortunately, by leveraging the optical field coupling effects or the chiral interactions, the FOM can be significantly improved as will be discussed in Section 3.
The other parameter to describe the performance of plasmonic sensors is limit of detection (LOD) , which resolves the smallest quantity of change that can be detected by the system. LOD can be defined as [46,47]: where m is a numerical factor (typically 2 or 3), σ blank is the standard deviation of the blank measures. Since LOD is determined by both the sensitivity and the noise level, it can be improved by using less-noise detectors and sources. Recently, Jin et al. demonstrated an upconverted detection system which can suppress sampling noise amplitude by two orders of magnitude [48]. The ultralow-noise sensor is applied to detect the single polystyrene particle with the detection limit down to a few attogram. Thus, improving the measurement method is an alternative way to reduce the LOD. Quantum optics applied in sensing is another powerful technique to overcome the detection noise [41,49], which will be discussed in Section 5.
Other performance characteristics such as accuracy, reproducibility and dynamic range are also important parameters for optical sensors [46]. The sensor accuracy describes the closeness between a measured value and a true value. Reproducibility is the ability to provide the stable output under the same operating conditions. The dynamic range describes the range of values that can be measured by the sensors. We note that for practical applications, there always exist the compromise of performance and cost of plasmonics sensors.

Metastructure-Based Plasmonic Sensors
Optical metasturctures are composed of designed artificial meta-atoms, which can manipulate the amplitude, phase and polarization of electromagnetic waves [50][51][52][53][54][55][56]. In the past years, the researches of optical metastructures have transited from bulk metamaterials to planar metasurfaces and even the curved metastructures [57][58][59][60]. For optical sensors, plasmonic metasurfaces with high quality (Q) factor resonances have been proposed by leveraging near-and far-field coupling of nanostructures. The collective mode resonance effect significantly breaks the damping limit of a single metal nanostructure under the dipole approximation.

LSPR-Based Metastructure Sensors
LSPR is collective oscillations of electrons at the surface of metallic nanostructures. As a typical example, consider a single spherical metal nanoparticle with radius of a, which is illuminated by electromagnetic field under the condition of a λ. By solving the Laplace equation with a boundary condition, the resonance of LSPR in a spherical nanoparticle is written as [61]: where ε m and ε d are the permittivity of metal and environment, respectively; l is the angular momentum of the resonant mode. In theoretical analysis, we have the Drude model of metals: where ω p and γ are the plasma frequency and damping rate of metals, respectively. Substitute Equation (5) into Equation (4) and ignore the damping effect, the resonance frequency of LSP is derived: The variation of background permittivity ε d will lead to the spectral shift ∆ω (correspondingly ∆λ for wavelength) of LSPR, which is the basic sensing mechanism [62]. Recently, Khan et al. [63] systematically measured and analyzed the sensitivities of a group of LSPR structures (Figure 2a). They found that the aspect ratio of various nanoparticles had strong correlations to the sensitivity as shown in Figure 2b. This comprehensive study can be served as a guideline for nanoparticle synthesis and fabrication of highly sensitive nanomaterials.    [63]. Reprinted (c-e) with permission from Reference [64]. Reprinted (f-h) with permission from Reference [65].
For the past decades, LSPR of metallic nanoparticles and their applications have been studied extensively, and there are many comprehensive review papers [13,[66][67][68][69][70][71]. The LSPR with metastructures offers a strongly confined and enhanced electromagnetic field with the advantages of spectral tunability, which have been widely used in sensing applications [72][73][74]. To date, most of LSPR sensors consist of two-dimensional (2D) nanoparticle arrays, while sensing in three dimensions (3D) has huge potentials to be used for measuring the physical or chemical gradient of the analytes. A plasmonic metasurface comprising quasi-random arrays of stacked Ag nanodisks with a thick SiO 2 intercalation layer is shown in Figure 2c [64]. Through rational design, it exhibits two distinct LSPR peaks with various sensitivity, and they correspond to spatially separated sensing locations along the axial direction as shown in Figure 2d,e.
The LSPRs of metal nanostructures generally have small FOM values due to the strong radiative damping, which significantly constrains the performances of LSPR sensors [75]. The trend in the design of LSPR sensors is to use hybrid modes, for example, LSPR -SPR, to improve the sensitivity and FOM simultaneously. In Figure 2f, the "V" shape particle lattices are explored to support a hybrid mode by the transverse LSP (Figure 2g (left)) and longitudinal Fabry-Perot modes (Figure 2g (right)) [65]. The strong polarization-dependent sensing performance of the hybrid mode is shown in Figure 2h, in which a higher sensitivity of 402 nm/RIU is achieved at longer wavelength resonance.
The detection of chiral molecules is of great importance in the field of both biology and chemistry because the enantiomers may exhibit completely different activities [76,77]. Chirality refers to structures with broken mirror symmetry such as the enantiomers, which universally exists in chemical molecules [78]. Since chiral molecules respond differently to left-and right-circular polarized light, various spectroscopic techniques have been developed to differentiate enantiomers including circular dichroism (CD), optical rotatory dispersion, and Raman optical activity [79]. However, there are some difficulties in chiral sensing such as weak chiroptical signals, and most of the significant chiroptical signals are located in the ultraviolet (UV) range (150-300 nm) [80,81]. Plasmonic metastructures show great potentials in chiral sensing for their advantages in flexibly controlling the light-matter interactions. For example, the chiral plasmonic structures can significantly enhance the CD signal of molecules and extend the CD spectra from UV into the visible regime, which simplifies the detection system [82]. Different chiral structures have been proposed for chiral molecule sensing, such as the gammadion [83,84] and shuriken [85] shape. The 3D chiral [86,87] nanostructures and twisted optical metamaterials [88] have also been reported. Hendry et al. [83] demonstrated a superchiral electromagnetic field generated by a planar plasmonic chiral metastructure. They showed that the effective refractive index of chiral molecules exposed to left-and right-handed superchiral fields are 10 6 times larger than the conventional polarimetric spectroscopy.
Using chiral plasmonic metastructures as RI sensors has some advantages compared with achiral structures, since the CD signal is robust against background interference. Wu et al. designed moire chiral metamaterials consisting of two layers of identical Au nanohole arrays [89]. In this structure, spacer-dependent near-field coupling is revealed in theory and experiment. An ultrahigh sensitivity of >10 5 nm/RIU and a FOM of 10 5 /RIU was measured through CD spectra. Palermo et al. [90] theoretically studied a chiral metasurface and hyperbolic metamaterial enabling both high sensitivity and specificity for molecules sensing. They argued that the helicoidal metasurface could excite surface and bulk plasmon polaritons, reduce the diffusion limit and increase the sensing surface. Besides, the CD and chiral selectivity are appropriate for biorecognition assay [90]. Figure 3a-e show the chiral particles used for LSPR sensors [91]. By employing dispersion and shape engineering of chiral particles, remarkable RI sensitivities of 1091 nm/RIU and FOM > 2800/RIU are achieved.
Recently, exploring the achiral plasmonic structures for chiral molecular sensing are developing rapidly. Theoretically, by leveraging the near-field coupling and phase retardation effects, the chiral molecules can induce CD response in the novel-metal nanostructures at the LSPR excitations [82]. Maoz et al. [92] proposed an achiral LSPR nanostructured films for chirality sensors as shown in Figure 3f,g. The decoulped nanoparticles with chiral molecules decoration were fabricated by dissolving the riboflavin (natural chiral molecule) in the PMMA solution and then coating on the Au islands. The authors systematically studied various configurations of Au island and chiral molecules as shown in Figure 3h,i. By measuring the distance dependence of the CD spectra, they found that the plasmonic CD signal was strong even for small quantity of chiral molecules at sub-10 nm separation distances.

Hyperbolic Dispersion Metamaterials for Sensors
Hyperbolic metamaterials [93] (HMMs) are a class of metamaterials which exhibit hyperbolic dispersion with strong anisotropy. HMMs have been used for subwavelength imaging [94], and spontaneous emission enhancement [95]. Their dielectric responses are described by a diagonal tensor ε = ε x , ε y , ε z , in which one component has the opposite sign to the other two. Thus, the HMMs can support waves with infinitely large momentum and strong field constraints. The HMMs are often constructed by periodically stacked materials with different permittivity (metal and dielectric material) or anisotropic nanowires [96]. The effective permittivity tensors can be deduced from Maxwell-Garnett effective medium theory (EMT). For the multilayered structure in Figure 4a, the parallel component ε = ε x = ε y and perpendicular component (ε ⊥ = ε z ) are given as follows [97]: where ε m and ε d denote the permittivity of metal and dielectric, respectively, ρ is the filling ratio of metal. For the nanowire structure in Figure 4b, the parallel component ε = ε x = ε y and perpendicular component (ε ⊥ = ε z ) are derived as [97]: In plasmonic structures, the nanorod metamaterials based sensors show an enhanced sensitivity of more than 30,000 nm/RIU [98], and this structure can excite SPR as a smooth metal film with advantages of tunable spectral response and strong field localization. The excitation of high-k modes in a planar HMM using a grating-coupling technique [99] is an attracting platform. Sreekanth et al. [31] proposed HMM sensors integrated with a microfluidic channel, and the measured sensitivity was 30,000 nm/RIU with FOM of 590 /RIU. This miniaturized sensors are promising for next-generation biosensors with highthroughput, label-free, and multi-analyte functions. In Figure 5c,d, a hyperbolic metasurface with the nanogroove structure can not only control the propagation of SPR, but also enhance light-matter interactions for sensing [100]. The strong confinement of electric field distribution is resulted from the larger effective permittivity of the plasmon mode on the ridge of the nanogroove. Thus, an ultrahigh phase sensitivity of 30,373 deg/RIU and Goos-Hänchen (GH) shift (higher order derivation of phase) sensitivity of 10.134 mm/RIU were observed as indicated in Figure 5e,f.

Plasmonic Sensors with Fano Resonances
Fano resonance was first proposed by Ugo Fano in 1961 [101], which is a quantum interference effect between a discrete state and a continuum. Fano resonance exhibits asymmetric spectra shape as follows [102]: where ω 0 and γ are the resonance frequency and linewidth, respectively; F is the Fano parameter that describes the degree of asymmetry. Over the past decades, Fano resonance has been realized in many optical systems containing the interference of the broad radiant and narrow subradiant modes [103][104][105][106][107]. Based on Fano resonance, a sharp asymmetric profile with small linewidth and high spectral contrast can be constructed, which has been widely used for optical sensors [108]. The interference of the radiant and subradiant LSPR modes is usually realized by structural symmetry breaking and the optical field coupling among multiple metallic elements. In plasmonic sensors, Wu et al. studied an infrared asymmetric metamaterial based on Fano resonance [109]. They investigated the structural/spectroscopic and binding properties of monolayer protein by precisely tuning the structural resonance towards (away from) the target vibration resonance. The potential for multispectral biosensing was also demonstrated. Verellen et al. reported a combined nanocross and nanobarn structure as shown Figure 6a [110]. When the structure is illuminated at grazing incidence, the hybrid structure demonstrates an extra sharp resonance around 950 nm wavelength (Figure 6b), which is the dark quadrupole mode coupled weakly to dipolar radiation. The charge density plots in Figure 6c clearly illustrate the dipolar (red box) and quadrupolar (blue box) nature of the modes. In Figure 6d,e, RI sensitivities exceeding 1000 nm/RIU with a FOM reaching 5/RIU in the NIR are obtained. with permission from Reference [110]. Reprinted (f,g) with permission from Reference [111].
The periodic metallic array structures such as nanoholes [112,113] and nanoslits [114,115] can also support Fano resonance. Shen et al. demonstrated a periodic array of gold mushrooms, and each mushroom was composed of a gold cap, photoresist pillar, and holy gold film as shown in Figure 6f [111]. In this study, the Fano resonance is caused by the interference between Wood's anomaly of the periodic array and the LSPR of the individual gold unit, which results in a very high RI sensitivity of 1015 nm/RIU and a FOM up to 108 /RIU (Figure 6g). Although the FOM of this gold mushroom arrays regardless of prisms or gratings is comparable to the SPR sensors, the mode interference requires a certain incident angle or polarization of illuminated light.
Recently, the bound state in the continuum (BIC) has attracted much attention for their high-Q modes [116]. BIC was first proposed in 1929 by von Neumann and Wigner in electronic systems [117]. In the field of optics, BIC has been realized in waveguides [118] and photonic crystal structures [119,120]. Note that perfect BIC can not be excited, and the observed BIC usually collapses to Fano resonance category [121]. The BIC structure of high-Q modes can be used for optical lasers [122], photonic sensors [123][124][125] and nonlinear optics [126,127]. Due to the high damping loss, it is challenging to realize BIC in plasmonic structures. Liang et al. reported that anistropic plasmonic metasurfaces can support quasi-BIC collective resonant modes [128]. Azzam et al. realized BIC in a hybrid plasmonicphotonic structure leveraging a destructive interference of the photonic and the plasmonic modes. In this system, two types of BIC are realized including symmetry-protected BIC and off-Γ Friedrich-Wintgen BIC [129]. Recently, Meudt et al. demonstrated the hybrid photonic-plasmonic BIC system for sensors with a FOM as high as 1.43 × 10 5 /RIU [130]. Later, Shen et al. [131] reported a relative humidity (RH) sensors based on this hybrid mode platform, which exhibited wavelength sensitivity of 1.16 nm %RH −1 and a quick response time of a few seconds. Besides the ordered plasmonic nanostructures mentioned above, the disordered system without delicate design of structures is also promising for sensors with the advantages of low-cost and simple excitation schemes [132]. This system with rough surface can also increase the FOM through Fano-resonant transmission profile [133]. For RI sensing, the nanoporous gold platforms have shown high sensitivity of 15,679 nm/RIU [134].

2D Materials-Integrated Metastructure for Optical Sensing
The plasmonic sensors mentioned above only consider components of novel metals, and in this Section 2D materials integrated with plasmonic metastructures will be introduced. Metallic nanoparticles (NPs) have some inherent disadvantages, such as high cost, poor stability and adsorption towards chemicals or biomolecules. The integration of 2D materials in plasmonic sensors is complementary to conventional metal structures due to their unusual electrical and optical properties [135]. 2D materials refer to layered materials with strong in-plane bonds and Van der Waals force between layers [136]. Since the first 2D atomic crystal graphene was discovered in 2004 [137], the research of graphene is developing rapidly in photonics and optoelectronics [138,139]. The rise of graphene materials have also stimulated the development of other 2D materials possessing intriguing properties, such as transition metal dichalcogenides (TMDCs) and black phosphorous (BP) [140,141].
Graphene is a single or a few layers of sp 2 carbon atoms arranged in a honeycomb lattice. For monolayer structure, graphene has no bandgap with an electronic band structure characterized by the linear cones; thus, the electrons behave as massless Dirac fermions. The surface conductivity of graphene is governed by Kubo formula [142]: in which: where f d (ξ, µ c , T) = e ξ−µc is Fermi-Dirac distribution, ω is angular frequency, e is the electron charge, T is absolute temperature, ξ is electron dynamic energy, Γ is scattering rate and Γ = 2τ −1 , τ is the relaxation time,h is the reduced Planck's constant, µ c is the graphene chemical potential, k B is Boltzmann constant. The first and second part in Equation (12) denote graphene intraband and interband transitions, respectively. When the imaginary part of graphene conductivity σ i in Equation (12) is positive, the graphene layer can be treated as a very thin metal film supporting transverse magnetic (TM) mode [143]. While for the case that the σ i is negative (the inter-band optical transition dominates), the weakly damped transverse electric (TE) SPR modes might appear [144]. Since the chemical potential of graphene is gauged by the electric gating and chemical doping, the optical response of graphene can be dynamically manipulated [145][146][147][148].
In plasmonic sensors, graphene materials can support optical modes of both SPRs [149][150][151] and LSPRs [33, [152][153][154]. Besides, graphene shows a higher adsorption efficiency to biomolecules via π-π interaction [33]. The first numerical work that combining graphene in SPR biosensor shows that the increasing numbers of graphene can enhance the sensitivity, which is resulted from the adsorbing of the biomolecules and optical response of graphene [155]. In addition, different photonic structures of graphene have been proposed for empowering the plasmonic sensing such as nanodisks [156], nanostripes [157,158] and other sub-wavelength structures [145]. Researchers also combine the graphene sheets with the metallic NPs [159][160][161][162] and dielectric/metallic gratings [163,164] for sensing applications. For example, Chen et al. [165] demonstrated a hybrid graphenemetal gratings for terhertz sensors with a FOM larger than 10. The periodic graphene nanoribbons as illustrated in Figure 7a have been extensively studied for mid-and far-IR plasmonic biosensing [166]. Compared with conventional metal plasmonic, the plasmon resonance of microstructured graphene can be tuned to the vibration frequency of target molecules [157,167]. Besides, the strong light confinement in graphene, which is two orders of magnitude higher than in metals, has boosted superior sensitivity in biomolecules detection as shown in Figure 7b [166].  Reprinted (a,b) with permission from Reference [166]. Reprinted (c,d) with permission from Reference [168]. Reprinted (e-g) with permission from Reference [169].
. Besides the extensively-studied graphene materials, BP consists of layered materials exhibiting strong in-plane anisotropy by their unique puckered structure [170]. This prominent anisotropic characteristic offers BP an extra degree of freedom in the design of optical devices [171]. Recently, a highly anisotropic and sensitive SPR biosensor composed of BP, graphene and gold thin film was proposed by Yuan et al. [168] as shown in Figure 7c. Phase-modulation approach is applied (differential phase between transverse-magnetic and transverse-electric polarized light) to characterize the performance of the plasmonic sensors. In the theoretical analysis, transfer matrix method and Fresnel equations are utilized to to study the phase and reflectivity changes. The absorption efficiency and energy loss in this architecture are balanced by optimizing the thickness of gold and BP film. In Figure 7d, it turns out that 4 layers of BP and 48 nm of gold coating will produce the sharpest phase variation with a sensitivity up to be 7.4914 × 10 4 degree/RIU. Besides, due to the anisotropy of BP, this SPR biosensor exhibits tunable detection sensitivity by simply rotating this device. A relentless effort is being made to explore novel 2D materials for optical sensors. The recent developed antimonene exhibits strong spin-orbit coupling, tremendous stability and hydrophilicity. Bao et al. demonstrated an antimonene integrated SPR sensors as shown in Figure 7e [169]. The high sensitivity of this SPR sensor can be attributed to both the interaction of antimonene and single stranded DNA, and the coupling between the gold nanorods and propagating-SPR of the gold film. Specifically, the detection of miRNA-21 with a concentration as low as 10 −17 M was observed as shown in Figure 7f. The detection limit of modified single-stranded DNA (ssDNA) (blue dots) is 10 5 times lower than that using the non-modified ssDNA (black dots) in Figure 7g.

Optical Fiber-Based Plasmonic Sensors
Optical fiber technology developed rapidly in 1970s, which have stimulated the progresses of the modern fiber communications [172,173]. In addition to guiding the light wave in optical fibers, the propagating light can interact with outer surroundings, leading to the variation of optical signals; thus, optical fibers have also been used as sensing components [174]. Over the past years, optical fiber sensors have received much attention due to their advantages such as immune to electromagnetic interference, quick response, lightweight, and endurance in harsh environment, etc. [175]. To further enhance the fiber sensing performance, researchers have revolutionized the structural design and materials integration in optical fibers [138]. In this section, we will mainly focus on plasmonic fiber sensors, which should be dated backed to 1992 when Jorgenson et al. [176] first used fiberoptic SPR structures for chemical sensors. The plasmonic fiber sensors can not only improve the conventional fiber sensors' performance by SPR and LSPR structures, but also allows for small sensing elements, simplified optical design and remote sensing [177]. The optical fiber-based plasmonic sensors are mainly categorized into three types, i.e., LSPR-fiber, SPR-fiber and 2D materials-fiber sensors, which will be discussed below.

Optical Fiber-LSPR RI Sensors
The representative configurations of optical fibers are high-refractive-index glass core surrounded by low-refractive-index cladding materials. This structure ensures that the propagating wave can be trapped inside the core of the fiber without leaking out. According to the supported mode numbers, the optical fiber can be divided into single mode fiber and multimode fiber (MMF), and usually the MMF has larger core radius. In order to couple the guiding wave into surface plasmons, the structure of fibers needs to be modified [177,178], as shown in Figure 8. Similar to the metastructure-based plasmonic sensors, the interrogation methods used in plasmonic fiber sensors including wavelength, intensity and phase measurements, in which the resonant wavelength monitoring is the most commonly employed method.
The excitations of LSPR in metal NPs are realized through the near-field coupling at the endface or side wall of optical fibers. The optical fiber tip is an attracting platform since it holds the advantages of free-space light couplings and remote light manipula-tions. The most common structures on the fiber tip includes metal NP arrays [179,180] and metal nanoholes (NHs) [181]. Jia et al. demonstrated the NHs array on the endface of a MMF exhibiting sensitivity of 559 nm/RIU [181]. In the propagating waveguide structure, the evanescent field leaks from the fiber core and is coupled with the NPs, which increases the sensitivity of the fiber sensor compared with that of a bare one. Cao et al. [182] immobilized two kinds of gold-NPs (nanospheres and nanorods) on the surface of a claddingless optical fiber. The sensitivity is 914 nm/RIU and 601 nm/RIU for nanospheres and nanorods, respectively. The fiber-LSPR sensors reported in this work are cost effective to produce; thus, they are potentially disposable after single use avoiding the cross-contaminations. For D-type fiber-LSPR sensors, Cennamo et al. [183] proposed five-branched gold nanostars in a plastic optical fiber, and the measured sensitivity was 580 nm/RIU. Song et al. [184] explored two shapes of NPs (triangular and sphere) deposited on U-shaped fibers, and they found that the performance of the triangular silver NPs sensor was higher than that of sphere structures with sensitivity of 1116.8 nm/RIU. We summarize the typical RI-sensing performance of different fiber-LSPR structures in Table 1, from which it is found that the U-shaped fiber-LSPR sensors show a higher sensitivity than that of other structured fibers.  [194] * AU means absorbance unit.

Optical Fiber-SPR RI Sensors
Different from the fiber-LSPR, the excitation of SPR requires momentum matching; thus, the optical dispersion of fiber waveguide is of importance. The typical dispersion of SPR can be written as: where n a denotes the refractive index of the analyte. The propagation of light in fiber is based on total internal reflection, and when the propagation constant is equal to k SPP , the SPR can be efficiently excited which is quite similar to the Kretschmann configurations. Compared with the prism-based SPR sensors, the optical fiber-SPR structures have the advantages of easier tuning and smaller bulk size. Note that the optical fibers have cylindrical shape and the optical modes possess spatially varying 3D-optical field; thus, only part of the energy inside the core can couple with SPR mode [177,195]. Overall, the design of fiber-SPR sensors includes mainly two steps: The first is modifying the shape of fiber such as removing the cladding, bending the fiber and grinding the fiber side or fiber tip to a certain angle; the second step is the metallic coating [177,[196][197][198]. The former step supports the evanescent field escaping from the core of fiber to excite the SPR mode, the latter step greatly enhances the light-matter interaction. Some types of geometry-modified optical fiber-SPR sensors are illustrated in Figure 9. In particular, Figure 9a displays the unclad/etched/tapered plasmonic fiber, and this hybrid claddingless fiber is the first reported for chemical sensor [176]. Tapered fibers can be produced by heating and stretching methods to draw from a standard optical fiber. Ding et al. [199] demonstrated SPR sensor based on a tapered coreless fiber with a high sensitivity of 2278.4 nm/RIU in the RI range of 1.33-1.391. The hetero-core fiber structure contains a single mode fiber between two MMFs as shown in Figure 9b. Due to the core mismatch, the core energy will leak out and interact with the surface metal film. Liu et al. [200] polished the traditional hetero-core structure as circular truncated cone shape and the SPR wavelength was varied with the polishing angle. They realized dual-channel sensing with sensitivity of 1980.77 nm/RIU and 4057.69 nm/RIU, respectively. A more easier method to extract the light field inside the core is bending the fiber as shown in Figure 9c. Arcas et al. [201] presented a gold-coated U-shaped plastic fiber biosensor for E. coli bacteria detection. The intensity modulation in the U-shaped fiber by the gold SPR and bending loss were explored. For 70 nm and 100 nm goldcoated probes, the SPR effect was predominant and the bacteria concentrations as low as 1.5 × 10 3 colony-forming units (CFU)/mL was detected. The D-type fiber is conventionally fabricated by side-polishing technique to expose the fiber core and enhance the surface evanescent field. By depositing a metal film on the flat polished region, the surface guided SPR can be excited by a certain light polarization (Figure 9d). Dong et al. [202] proposed D-type few-mode fiber (FMF) based SPR sensors with a high sensitivity up to 4903 nm/RIU and a FOM of 46.1 /RIU. They claimed that when combined with mode-multiplexing technique, the FMF-SPR sensors could be used for high throughput biochemical analysis. Cao et al. [203] demonstrated a D-type low-index polymer fiber with SPR which had a record high sensitivity of 22,779 nm/RIU at 1.3350.
The fiber structures discussed above may suffer from the mechanical fragility due to the removed fiber claddings or reduced fiber diameters. The inline optical fiber grating (OFG) structures can overcome this problem. In the fiber gratings, the refractive index of fiber core along the propagation axis is periodically changed as shown in Figure 10 . The conventional fabrication method of OFG is through UV laser interference patterns, and later other methods by phase mask inscription [204] and direct writing by femtosecond laser [205] are developed. The resonance wavelength of a uniform OFG is: where the λ m is the resonance wavelength of m-order cladding mode, n co eff − n cl(m) eff denotes the effective difference between the core and m-order cladding mode, Λ is the period of the grating. Under the resonant condition, the lightwave is coupled from the core to the cladding, and excite the SPR mode efficiently.
To extract the light field from the fiber core to the cladding, the long period fiber gratings (LPFGs) can provide the matched reciprocal vector as shown in Figure 10a [206]. Hu et al. [207] numerically explored the LPFG coated with a thin metal film by the coupledmode theory, and the calculated sensitivity is 1660 nm/RIU. The tilted fiber Bragg gratings (TFBGs) are another important fiber structures as displayed in Figure 10b. The remarkable characteristics of TFBGs distinguishing from the fiber Bragg gratings lies in the tilt grating angle, which brings multiple resonant couplings of cladding modes in addition to the Bragg reflection [208,209]. Guo et al. [210] demonstrated a highly sensitive detection of proteinuria using plasmonic TFBGs. They used a differential amplitude monitoring between the plasmonic and cut-off resonances, and they realized a protein detection sensitivity of 5.5 dB/(mg/ml) and a LOD of 1.5 × 10 −3 mg/ml. Since the reflected Bragg mode can only be affected by temperature and strain effects which can serve as a selfreference spectra, the plasmonic-TFBG sensors show small temperature cross-sensitivity. Caucheteur et al. [211] used a plasmonic TFBG with a tilt angle near 37 degree to excite the SPR mode in the air cladding. This device could detect RI change of air as the pressure was varied with a sensitivity of 204 nm/RIU and RI resolution as low as 10 −8 /RIU. Baiad et al. [212] proposed concatenated plasmonic TFBG sensors with different tilt angles in a single optical fiber. The measured sensitivity is around 500 nm/RIU for the RI range from 1.40 to 1.44. Besides the typical microstructured fiber aforementioned, some rationally designed fiber-SPR device, such as an eccentric-core fiber [213], HMM on D-type fiber [214], twincore fiber [215], MMF/photonic crystal fiber/MMF [216] are proposed with impressive RI sensitivity in the range of 4000-9000 nm/RIU. Otherwise, the fabrication of these sensors becomes complicated with higher cost compared to traditional fiber-SPR sensors. The typical sensing performance of fiber-SPR devices are summarized in Table 2.

2D Materials Integrated Plasmonic Fiber Sensors
Integrating 2D materials to fiber-optic plasmonic sensors is an effective strategy to increase the performance of sensors. On the one hand, 2D materials serve as protective layers of the novel metals accompanied with enhanced molecules adsorption. On the other, they can further increase the localized electromagnetic field. Graphene [228][229][230][231][232][233], TMDs [234,235] and BP [236] combined with different types of optical fibers sensors have been successfully demonstrated.
Wei et al. [229] demonstrated a graphene-based LPFG-SPR sensor for high-sensitivity gas sensing as shown in Figure 11a. A metal film coated on the LPFG will enhance the surface optical field; however, it cannot adsorb molecules effectively. The graphene coating benefits for both the localized electromagnetic field and molecule adsorption efficiency. In Figure 11b, the graphene-based LPFG-SPR sensors have the best sensing performance, and the sensitivity is improved by 2.96 (1.31) times compared to a bare LPFG sensor (Ag-coated LPFG sensor). Jiang et al. [194] presented a U-shaped plastic optical fiber-SPR sensors based on graphene and silver hybrid structure as shown in Figure 11c. The U-shaped fiber deposited with graphene/Ag NPs/Ag film have an obviously higher sensitivity of 700.3 nm/RIU thanks to the biocompatibility and electric field enhancement of graphene. The TMD nanosheets hold great potential in biosensing applications for their large surface area and interaction with biomolecules [237]. Kaushik et al. [234] reported a MoS 2 -assisted biofunctionalized fiber-SPR biosensor as illustrated in Figure 11e. The antibodies were used for label-free detection of bovine serum albumin (BSA) protein. The fiber sensing performance with MoS 2 is better than the one without MoS 2 . The synergic effects of MoS 2 and gold film amplified the SPR signals with an improved detection limit of 0.29 µg/mL. Note that in most cases, 2D materials in plasmonic fiber sensors act as protecting layers accompanied with enhanced the adsorption efficiency and electromagnetic field. However, the improvement in sensing is not competitive and most of them are limited in the theoretical calculations.    Reprinted (a,b) with permission from Reference [229]. Reprinted (c,d) with permission from Reference [194]. Reprinted (e,f) with permission from Reference [234].

Quantum Plasmonic Sensors
Although plasmonic sensors have been realized and commercialized successfully on different platforms, their sensitivity and associated precision are starting to reach the shot noise limit by quantum fluctuations of light [36,238]. To go beyond sensitivity limit by the SNL, the combination of quantum metrology with plasmonic sensing is increasingly being implemented in the field of chemistry and biology [62,239]. This emerging field is called "quantum plasmonic sensing" [19]. In this section, we briefly review the recent studies that have exploited quantum methods to improve the performance of plasmonic sensors.
Quantum resources have revolutionized the metrology in the field of quantum-enhanced sensors, in which the amplitude or phase squeezed light are widely used [240][241][242][243]. Pooser et al. [241] reported a heterodyne-based quantum plasmonic sensors as shown in Figure 12a. They realized a maximal quantum noise reduction of approximately 4.5 dB by combining the twin quantum correlated light fields with conventional Kretschmann geometry in Figure 12b. Note that the two-mode squeezed state was produced by pumping Rb vapor with degenerate four-wave mixing effects (inset of Figure 12a) [241,244]. Since the squeezed light can significantly reduce the shot noise, the sensing resolution is improved as illustrated in Figure 12c. Later, Lee et al. [245] studied two-mode beams with symmetric quantum statistical features combined with a SPR sensor, which notably enhanced the estimation precision of RI of the analytes. Zhao et al. [246] demonstrated an optical salinity quantum sensors in a tapered hetero-core plasmonic fiber. They realized a salinity sensitivity of 0.02204/‰with a ultra-resolution of 0.0016‰, exhibiting one order of magnitude higher than that of traditional optical fiber-SPR sensors. The interferometric measurements are generally more sensitive than intensity-based detection under the same conditions. Thus, the quantum phase sensors are attracting attentions. Lee et al. [242] first studied a two-mode interferometer with quantum states input as shown in Figure 12d. In the interferometer, the sensing arm was composed of a silver nanowire waveguide as a plasmonic mode 1, and the reference mode 2 was on the other arm. The change of the biological medium surrounding the nanowire, will cause the relative phase change between the mode 1 and mode 2. In this work, both the classical and quantum sensing are taken into comparison: Classical sensing is modeled by a Mach-Zehnder interferometer with a coherent state input, and the NOON state input is considered in quantum sensing. The NOON state is an entangled quantum source which is often used in phase sensing to increase the precision [247,248], and it is defined as: where N is the number of photons. When employing the NOON state in quantum phase sensing, it provides a RI-precision (∆n): where φ is the optical phase. While, the precision for classical measurement using a two-mode coherent state is: Evidently, the NOON-state measurement improves the precision compared with coherent input by √ N from Equations (17) and (18) [242]. The nanowire in Figure 12d is investigated in respect of dielectric and metallic material (lossless) for comparison. As shown in Figure 12e, the expectation value for the quantum plasmonic sensor oscillates far more rapidly than that of the others, which means that a small change induces a large detectable variation of the measurement signal. In addition, the resolution is smallest for the quantum plasmonic sensing as shown in Figure 12f, which unambiguously exhibits the superiority of quantum sensing. Chen et al. [249] experimentally demonstrated the excitation and propagation of a NOON state (N = 2) in a silver nanowire, their results showed that the quantum sensing advantage was possible with only moderate loss.
Apart from the quantum metrology, the strong coupling effects between plasmonic nanostructures and quantum emitters can also be applied for plasmonic sensing [250]. The Hamiltonian of this system can be written as [239]: where ω e and ω p are the angular frequency of the emitter and plasmon-polaritons respectively; γ and κ are their decay rates. The two eigenvalues are derived as where ∆ = ω e − ω p is the frequency detuning. The interaction of nanosturctures and quantum emitters can be classified in two types according to the coupling strength: weak coupling and strong coupling. For weak coupling (|g| < |γ − κ|/4), the coupling rate is smaller than the decay rate, and the Purcell effect dominates [251]. In the strong coupling regime (|g| > |γ − κ|/4), some quantum effects such as Rabi splitting [252][253][254], quantum entanglement [255] and optical Stark effect [256] can be observed. The strong coupling is achieved in various platforms, such as nanorod [257], bowtie [258], nanoparticle [259] and 2D atomic crystals system [260]. For the plasmonic sensing, various configurations such as quantum dot-metallic nanorod [261], quantum dot-metallic nanoshell [262] and quantum emitter/Ag-NR/silver nanowire composite [263] are proposed, which pave a way to quantum-enhanced single molecule detection.
Recently, Kongsuwan et al. [264] studied the strong coupling-based sensing that utilized the interactions between the quantum emitter label and plasmon-polaritons as shown Figure 13a. In this system, a hotspot is located between the nanoplasmonic dimer. The antigen on the antibody acts as analytes to be detected. Conventional sensors with dielectric label and Au-NP label exhibit only shift of resonant spectra, while the quantum emitter label shows Rabi splitting, which is the signature of strong coupling as shown in Figure 13b. The sensitivity in strong coupling regime is defined as: where δω = |ω + − ω − |, and N is the numbers of analytes. The proposed splitting-type sensing approach records an sensitivity enhancement of nearly 15-fold over the conventional shifting-type label-free plasmonic sensors. In the ensemble of analyte-complexes, they found that when the surface density was decreased, the FOM of classical regime dropped drastically while the quantum regime remained almost constant as shown in Figure 13c. This work shows great potential towards single-analyte detection. We note that for plasmonic sensors, the fundamental quantum properties of a plasmonic system, such as electron tunneling [238,265,266], nonlocal [267], and quantum surface response [268] are also exciting areas ready to be explored.

Conclusions and Outlook
In this work, we briefly reviewed the recent advances of surface plasmonic sensors. We mainly focused on the platform of planar metastructures and optical fibers, and discussed their sensing mechanisms, structural design and materials integration. Apart from the building blocks of only novel metals, the 2D materials integrated in plasmonic sensors is an emerging field which may revolutionize the way in sensing such as flexible and wearable biosensors [269]. From the classical measurement to quantum metrology, the emerging quantum plasmonics provide a new paradigm shift in optical sensing, which have realized unprecedented performance beyond the traditional methods. More realistic applications in biochemistry and medicine based on quantum technology are expected in the near future.
As for the future development of plasmonic sensors, we envision that there is still plenty of room to explore in the category of classical optics. Besides the platforms of planar metastructures and optical fibers, the whispering-gallery mode (WGM) microcavities and photonic crystals (PCs) have received much attention for their ultrahigh-Q factors and moderate mode volumes [43, [270][271][272][273][274]. Integrating the plasmonic structures in WGM and PCs, the ultrahigh sensitivity for single-molecule and single-ion detection have been achieved [274][275][276]. In respect of the plasmonic materials, the most used noble metals such as silver and gold have some limitations for plasmonic devices considering their inherent optical loss, high cost (for gold) and oxidation issue (for silver). The emerging plasmonic materials such as aluminum [277][278][279] and sodium [280] may serve as possible alternatives for their advantages of low loss and relatively low cost. While the air instability is a serious issue for sodium-based plasmonic devices, researchers have demonstrated the stability of performance through appropriate packaging by quartz and epoxy [280]. In terms of fabrication method, electron beam lithography and focused ion beam are typical top-down methods to fabricate nanoscale plasmonic devices, which are not considered to be massive productive for their high cost and time consuming [281]. More cost-effective methods such as self-assembly (bottom-up) techniques [282,283] and nanoimprint lithography [277,284] hold great potentials for the commercialization. The assemblies of plasmonic NPs with controlled architectures have been demonstrated for quantitative surface enhanced Raman spectroscopy (SERS) [285]. For the optical interrogations, the conventional plasmonic sensors strongly rely on the spectral detection which requires sophisticated optical instruments. Tittl et al. [286] demonstrated an image-based molecular barcoding with a pixelated dielectric metasurface. The image-based sensing technique can resolve absorption fingerprints without the need for spectrometry, frequency scan, or mechanical components, which opens a new way for multi-analyte recognition with fast response [286][287][288][289]. For the analytes detection, besides the biological and chemical sensing, the operando monitoring electrochemical activity [290,291] is an attractive area for the development of green energy. We also note the importance of the emerging field of deep learning, which has shown great power in inversely designing the optical microstructures with enhanced electromagnetic response [292][293][294][295]. This advanced science and technology will endow more possibilities for the development of surface plasmonic sensors.