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LEDs: Sources and Intrinsically Bandwidth-Limited Detectors

The increasing demand for light emitting diodes (LEDs) is driven by a number of application categories, including display backlighting, communications, signage, and general illumination. Nowadays, they have also become attractive candidates as new photometric standards. In recent years, LEDs have started to be applied as wavelength-selective photo-detectors as well. Nevertheless, manufacturers’ datasheets are limited about LEDs used as sources in terms of degradation with operating time (aging) or shifting of the emission spectrum as a function of the forward current. On the contrary, as far as detection is concerned, information about spectral responsivity of LEDs is missing. We investigated, mainly from a radiometric point of view, more than 50 commercial LEDs of a wide variety of wavelength bands, ranging from ultraviolet (UV) to near infrared (NIR). Originally, the final aim was to find which LEDs could better work together as detector-emitter pairs for the creation of self-calibrating ground-viewing LED radiometers; however, the findings that we are sharing here following, have a general validity that could be exploited in several sensing applications.


Introduction
Light emitting diode (LED) development started in the early 1960s with the observation of infrared and red radiation emission, reaching blue wavelengths in the early 1990s [1] thanks to Akasaki, Amano, and Nakamura (Nobel prize winners, 2014), and is continuing deeper into the ultraviolet (UV). The extended wavelength range and the improved efficiency have allowed LEDs [2] to become the preferred light sources for many important applications, e.g., light sources in traffic signals [3], solid-state information and image displays [4], full-color illumination for back-lighting liquid crystal displays [5], automotive signaling and tail lights [6], instrument cluster displays [7], food production [8], analytical chemistry [9,10] microfluidics control [11] and, soon, in metrology as promising new photometric standards [12].
In all of these applications, LEDs are used as sources, but, although this is a more exploited LED property, it has been demonstrated that LEDs could also be applied as radiation sensors with an intrinsic bandwidth-limited sensitivity related to the emission spectrum [13][14][15]. This property is particularly interesting because it allows them to be selective in bandwidth without any dispersive or absorbing element, with great advantages from the physical dimension and cost point of view. There are already applications in radiometry in which LEDs have been used as bandwidth-limited photo-detectors: sun photometry [15,16], field radiometry [17][18][19], visible light communications [20], luminescence [21], and others. Unfortunately, these applications are still very limited and the companies producing LEDs do not provide any information on their devices' detection properties. This knowledge is crucial to open new application fields. companies producing LEDs do not provide any information on their devices' detection properties. This knowledge is crucial to open new application fields.
In this paper we report the static radiometric behavior of more than 50 different models of LED, with the aim of: (a) starting to fill incomplete data regarding the behavior of LEDs used as sources (e.g., spectral emission and lambda peak dependence from forward current-IF-and aging reliability); and (b) providing a considerable set of data regarding the detection spectra of LEDs (that are usually related to their emission spectra, but never fully overlap [22]).
After some hints about the devices under test (DUTs) and their identification, in Section 2 we describe the measurement methods. The LED's source properties are then reported in Section 3 while, in Section 4, the detection properties are summarized. Moreover, in Section 5 the matching between the source and detection spectra is considered, with a practical example that refers to the realization of our LED radiometer [18,19]. Finally, in Section 6, we summarize the main findings. Despite the fact that we investigated only the aspects of interest for our application, we believe that the knowledge of the technical details exposed in this article could be of help to the sensors community in the realization of low-cost detectors or matched source-detector couples in various applications.

Devices under Test and Experimental Setups
The LEDs reviewed in this paper range from low to high power devices and cover the electromagnetic spectrum from 350 nm to 900 nm.
The DUTs were bought in several tranches. Upon delivery, we gave an identification number to each part number. Therefore, measurement data were labelled with letter "E" for "emission" measures or "D" for "detection" measures, followed by the identification number. All the measured parts are listed in Table 1, together with their id number. We also used these identifiers for the most crowded figure. Emission spectra have been acquired by means of a CAS 120 Array spectrophotometer (Instrument Systems GmbH, Munich, Germany) connected through an optical fiber bundle to a 25 mm diameter integrating sphere with a 100 mm 2 acceptance aperture in combination with a spacing tube, so that the emitting device is placed at 316 mm from the reference plane of the optical probe ( Figure 1). This system allows the measurement of the LED averaged radiant intensity, and other radiometric parameters, in Commission Internationale de l´Eclairage (CIE) condition A [23].   Table 1. List of LEDs characterized as sources and as detectors. The table is ordered with increasing emitted λ PEAK . LED columns legend: "P/N" is the commercial part number of the device under test; "Id" is the identification number that we gave to the part number in our tests, (in the following, "E" stands for emitting properties (reported in "AS SOURCE" columns) and "D" stands for detection properties ("AS DETECTOR" columns)). AS SOURCE columns legend: "I F " is the forward test current; "λ PEAK " is the wavelength of maximum emission; "∆λ FWHM " is the emission bandwidth at full width at half maximum; "Radiant intensity" is the averaged LED radiant intensity measured with CIE method A; "∆λ PEAK ", "∆λ FWHM " and "∆Rad.Int. vs. ∆I F " are the percentage variation of, λ PEAK , λ FWHM and Radiant intensity, respectively, measured when I F is changed according to "∆I F ". AS DETECTOR columns legend: λ PEAK is the wavelength of maximum sensitivity of the LED, ∆λ FWHM is the sensitivity bandwidth at full width at half maximum; "Responsivity index" is calculated by applying Equation (1)  The spectral response of LEDs used as radiation sensors was obtained by placing each LED at the focal distance of a lens and irradiating through a fiber-optic connected to the exit of a monochromator, and measuring its correspondent output photocurrent by means of an electrometer ( Figure 2). Since the spot size cannot be easily adjusted, the irradiance and the LED distance from the source are constant, however, the active area of the semiconductor might be equally-, over-, or under-filled, depending on its dimension. The photocurrent was compared with the photocurrent of a calibrated photodiode (used as reference) irradiated with the same flux of about 0.8 µW over the full spectrum with a tolerance of ±7.5%, coming from the same optical system. Finally, the spectral response of the LED detector under test R LED (λ) was calculated as: where R REF (λ) is the calibrated spectral responsivity in A/W of the reference photodiode, I LED (λ) is the LED photocurrent under irradiation, and I LED0 (λ) is the photocurrent caused by the stray radiation and the background noise, respectively; similarly, I REF (λ) and I REF0 (λ) are the photocurrent under irradiation and the photocurrent caused by the stray radiation and the background noise, respectively, for the reference photodiode. The spectral response of LEDs used as radiation sensors was obtained by placing each LED at the focal distance of a lens and irradiating through a fiber-optic connected to the exit of a monochromator, and measuring its correspondent output photocurrent by means of an electrometer ( Figure 2). Since the spot size cannot be easily adjusted, the irradiance and the LED distance from the source are constant, however, the active area of the semiconductor might be equally-, over-, or under-filled, depending on its dimension. The photocurrent was compared with the photocurrent of a calibrated photodiode (used as reference) irradiated with the same flux of about 0.8 µW over the full spectrum with a tolerance of ±7.5%, coming from the same optical system. Finally, the spectral response of the LED detector under test RLED(λ) was calculated as: where RREF(λ) is the calibrated spectral responsivity in A/W of the reference photodiode, ILED(λ) is the LED photocurrent under irradiation, and ILED0(λ) is the photocurrent caused by the stray radiation and the background noise, respectively; similarly, IREF(λ) and IREF0(λ) are the photocurrent under irradiation and the photocurrent caused by the stray radiation and the background noise, respectively, for the reference photodiode. Since our application was very low speed, we did not study the dynamic behavior of the DUTs, such as the switching properties of the radiation emitters and the response time of the detectors. Furthermore, for noise considerations, we were not interested to the increase of the responsivity through the application of a reverse bias. However, both these aspects were discussed in [20].

LEDs as Radiation Sources
In a radiation sensor, often a matched source of radiation is also needed to excite a physical phenomenon (as, for example, in [21]), with reference purpose (as in [18]), or for other use [24,25]. For this reason, we examined the emission properties of many LEDs. The measurement results are reported in Table 1 in the columns grouped under the "AS SOURCE" label. Several LED sources' emission spectra are reported in Figure 3 and have been divided in four ranges: (a) UV-blue (peak wavelength range 350-490 nm), (b,c) blue-green (490-650 nm), (d) yellow-red (600-700 nm), concluding with NIR in (e) (700-830 nm). In each plot, the emission spectra are reported normalized to the maximum value. Since our application was very low speed, we did not study the dynamic behavior of the DUTs, such as the switching properties of the radiation emitters and the response time of the detectors. Furthermore, for noise considerations, we were not interested to the increase of the responsivity through the application of a reverse bias. However, both these aspects were discussed in [20].

LEDs as Radiation Sources
In a radiation sensor, often a matched source of radiation is also needed to excite a physical phenomenon (as, for example, in [21]), with reference purpose (as in [18]), or for other use [24,25]. For this reason, we examined the emission properties of many LEDs. The measurement results are reported in Table 1 in the columns grouped under the "AS SOURCE" label. Several LED sources' emission spectra are reported in Figure 3 and have been divided in four ranges: (a) UV-blue (peak wavelength range 350-490 nm), (b,c) blue-green (490-650 nm), (d) yellow-red (600-700 nm), concluding with NIR in (e) (700-830 nm). In each plot, the emission spectra are reported normalized to the maximum value.  The averaged radiant intensity of LEDs measured in CIE condition A [23], peak wavelength (λPEAK) and bandwidth at full width at half maximum (ΔλFWHM) are reported in Table 1.
Since energy consumption plays a key role in battery-supplied instrumentation, LED sources have been tested at current levels IF that, in certain cases, could be different from the nominal current and then, again, at a current I'F changed (reduced) by the percentage ΔIF, where: The averaged radiant intensity of LEDs measured in CIE condition A [23], peak wavelength (λ PEAK ) and bandwidth at full width at half maximum (∆λ FWHM ) are reported in Table 1.
Since energy consumption plays a key role in battery-supplied instrumentation, LED sources have been tested at current levels I F that, in certain cases, could be different from the nominal current and then, again, at a current I' F changed (reduced) by the percentage ∆I F , where: The resulting changes in terms of whatever quantity, i.e., Radiant intensity (∆Rad.Int. vs. ∆I F ), peak wavelength (∆λ PEAK vs. ∆I F ), and bandwidth (∆λ FWHM vs. ∆I F ), are expressed as percentages in the same table: (∆quantity vs. ∆I F )= quantity(I F ) − quantity(I F ) quantity(I F ) · 100.
Reducing the forward current to a percentage of the initial test value between 75% and 87.5%, depending on the LED, we observe a considerable reduction of ∆λ FWHM and Radiant intensity in the considered spectrum, while the reduction in λ PEAK is very limited. For a further decrease of the current, the emission spectra become too weak for a meaningful measurement. Due to the limitation of the spectral range of the spectrophotometer (360-830 nm), only three NIR LEDs were measured while the other NIR LEDs were tested only as detectors.
Normally, the emission and detection spectra are shifted with respect to each other. The spectral bandwidth of the detection spectra goes from 20 to 120 nm and the the spectra themselves are generally asymmetric about the bandwidth center. All data are summarized in the last three columns of Table 1 where the Responsivity index is defined as: The highest Responsivity indices are obtainable with power LEDs mainly due to the large collecting area since, as already mentioned, we could not make the radiation spot so small to under-fill the active area of the smaller LEDs. Additionally, because of the presence of domes or gel on the top of certain devices, the Responsivity index mainly contains two elements: the sensitivity of the DUT itself and the amount of captured energy due to the LED size with respect to the total available energy. This aspect must be considered when choosing LEDs for sensing, but has a negligible impact in several applications. Reducing the forward current to a percentage of the initial test value between 75% and 87.5%, depending on the LED, we observe a considerable reduction of ΔλFWHM and Radiant intensity in the considered spectrum, while the reduction in λPEAK is very limited. For a further decrease of the current, the emission spectra become too weak for a meaningful measurement. Due to the limitation of the spectral range of the spectrophotometer (360-830 nm), only three NIR LEDs were measured while the other NIR LEDs were tested only as detectors.
Normally, the emission and detection spectra are shifted with respect to each other. The spectral bandwidth of the detection spectra goes from 20 to 120 nm and the the spectra themselves are generally asymmetric about the bandwidth center. All data are summarized in the last three columns of Table 1 where the Responsivity index is defined as: The highest Responsivity indices are obtainable with power LEDs mainly due to the large collecting area since, as already mentioned, we could not make the radiation spot so small to under-fill the active area of the smaller LEDs. Additionally, because of the presence of domes or gel on the top of certain devices, the Responsivity index mainly contains two elements: the sensitivity of the DUT itself and the amount of captured energy due to the LED size with respect to the total available energy. This aspect must be considered when choosing LEDs for sensing, but has a negligible impact in several applications. (a)

Matching of Source and Detector LEDs
The large amount of collected data, graphically represented in Figures 5, could be used to seek LEDs emitting in the desired bands with averaged radiant intensities that meet certain specifications, to find an off-the-shelf wavelength-selective detector, or to match source-detector devices on the required bands with an acceptable efficiency. Let us assume that we want to match a source and a detector in the range of blue-violet (that is, around 450 nm). From Figure 5a, we observe that some suitable source candidates are E37, E21, E35, and E29 while, from Figure 5b, we see that D36, D40, D39, D38, D42, and D45 are possible matching detectors.
Normally, we would choose E37 and D36 because of their, respectively, high Radiant intensity and high Responsivity index, however, further considerations might lead to other choices. For example, smoothness of the spectral responsivity curve might concern, or the possibility of trimming the peak emission wavelength, reducing the forward current, other energy considerations, reliability over the long-term, temperature effects, angular and temporal response, etc.
As a practical example, Figure 6 shows four matched source-detector LED couples that were chosen for our realization of a self-calibrating radiometer based on LEDs used both as radiation-detecting devices and reference sources for the calibration [18,19].

Matching of Source and Detector LEDs
The large amount of collected data, graphically represented in Figure 5, could be used to seek LEDs emitting in the desired bands with averaged radiant intensities that meet certain specifications, to find an off-the-shelf wavelength-selective detector, or to match source-detector devices on the required bands with an acceptable efficiency. Let us assume that we want to match a source and a detector in the range of blue-violet (that is, around 450 nm). From Figure 5a, we observe that some suitable source candidates are E37, E21, E35, and E29 while, from Figure 5b, we see that D36, D40, D39, D38, D42, and D45 are possible matching detectors.
Normally, we would choose E37 and D36 because of their, respectively, high Radiant intensity and high Responsivity index, however, further considerations might lead to other choices. For example, smoothness of the spectral responsivity curve might concern, or the possibility of trimming the peak emission wavelength, reducing the forward current, other energy considerations, reliability over the long-term, temperature effects, angular and temporal response, etc.
As a practical example, Figure 6 shows four matched source-detector LED couples that were chosen for our realization of a self-calibrating radiometer based on LEDs used both as radiation-detecting devices and reference sources for the calibration [18,19]. Their relevant detection and emission spectra are shown in Figure 6a in the case of one radiometer. The choice is based of course on wavelength matching, but also on other important requirements: (i) to maximize the signal to noise ratio, the sources present high radiant intensities and the detectors, high Responsivity indices; (ii) because of thermal considerations, the forward current of the sources is as low as possible, and (iii) for long-term stability, the degradation of the Their relevant detection and emission spectra are shown in Figure 6a in the case of one radiometer. The choice is based of course on wavelength matching, but also on other important requirements: (i) to maximize the signal to noise ratio, the sources present high radiant intensities and the detectors, high Responsivity indices; (ii) because of thermal considerations, the forward current of the sources is as low as possible, and (iii) for long-term stability, the degradation of the emitting LEDs as a function of operating time, is acceptably low. In order to meet requirement (ii), the use of sources with λ PEAK and ∆λ FWHM that are as independent as possible from the forward current is crucial to reducing energy consumption. In Figure 6b, we report the normalized spectral Responsivity index of the LED detectors for all of the five radiometers that were built as final release. Each radiometer mounts LEDs of the same family that show good repeatability in terms of spectrum shape. The narrowing in the third band is due to the presence of a dome on top of the LED detector mounted in only three of the radiometers. emitting LEDs as a function of operating time, is acceptably low. In order to meet requirement (ii), the use of sources with λPEAK and ΔλFWHM that are as independent as possible from the forward current is crucial to reducing energy consumption. In Figure 6b, we report the normalized spectral Responsivity index of the LED detectors for all of the five radiometers that were built as final release. Each radiometer mounts LEDs of the same family that show good repeatability in terms of spectrum shape. The narrowing in the third band is due to the presence of a dome on top of the LED detector mounted in only three of the radiometers.
(a) (b) The LED sources were aged, firstly for the purpose of stabilization, and secondly to estimate possible physical change with time. LED Radiant intensity as a function of the operating time, normalized to the first measurement value (0 h), is shown in Figure 7 for two of the source LEDs. E37 (ASMT-AL31) of the first band shows an emission reduction about 2% within 100 h and a slight decrease of 0.5% in the remaining 300 h. LED source E50 (L800-01AU) of fourth band shows an emission reduction less than 2% over the 500 h; in particular, the reduction remain around 0.5% for the last 200 h. As shown, LED's aging is an aspect not to be undervalued when a sensor needs a radiation exciter or reference.  The LED sources were aged, firstly for the purpose of stabilization, and secondly to estimate possible physical change with time. LED Radiant intensity as a function of the operating time, normalized to the first measurement value (0 h), is shown in Figure 7 for two of the source LEDs. E37 (ASMT-AL31) of the first band shows an emission reduction about 2% within 100 h and a slight decrease of 0.5% in the remaining 300 h. LED source E50 (L800-01AU) of fourth band shows an emission reduction less than 2% over the 500 h; in particular, the reduction remain around 0.5% for the last 200 h. As shown, LED's aging is an aspect not to be undervalued when a sensor needs a radiation exciter or reference. emitting LEDs as a function of operating time, is acceptably low. In order to meet requirement (ii), the use of sources with λPEAK and ΔλFWHM that are as independent as possible from the forward current is crucial to reducing energy consumption. In Figure 6b, we report the normalized spectral Responsivity index of the LED detectors for all of the five radiometers that were built as final release. Each radiometer mounts LEDs of the same family that show good repeatability in terms of spectrum shape. The narrowing in the third band is due to the presence of a dome on top of the LED detector mounted in only three of the radiometers.
(a) (b) The LED sources were aged, firstly for the purpose of stabilization, and secondly to estimate possible physical change with time. LED Radiant intensity as a function of the operating time, normalized to the first measurement value (0 h), is shown in Figure 7 for two of the source LEDs. E37 (ASMT-AL31) of the first band shows an emission reduction about 2% within 100 h and a slight decrease of 0.5% in the remaining 300 h. LED source E50 (L800-01AU) of fourth band shows an emission reduction less than 2% over the 500 h; in particular, the reduction remain around 0.5% for the last 200 h. As shown, LED's aging is an aspect not to be undervalued when a sensor needs a radiation exciter or reference.

Conclusions
The increasing applications of LEDs in photometry and radiometry, even as detectors, in addition to sources, has led to the study of various parameters of LEDs, which are relevant to radiometric measurements. The behavior of more than 50 LEDs was studied as sources and several of them as detectors, with the aim to begin filling the lack of data in manufacturers' datasheets. It was observed experimentally that emission and detection spectra of the same LED are dissimilar in that the absolute peak wavelength of the emission spectrum is longer than the highest peak wavelength of the spectral response. The bandwidth of the two spectra are dissimilar and, in particular, in the case of LEDs used as detectors, it is asymmetric with respect to the peak wavelength. Moreover, LEDs of the same family show the same spectral response in terms of peak wavelength and bandwidth, but slight differences in the responsivity.
When decreasing the forward current of the LED sources, with the aim to limit the general energy consumption, we observed a slight reduction in the peak wavelength, while a reduction in the bandwidth, acceptable in most cases, was observed especially for LEDs in NIR spectral range. In addition, as one could expect, the Radiant intensity decreases proportionally to the reduction of the forward current. The data presented could be used as a starting point to design inexpensive wavelength-selective detectors or matching source-detector pairs of LEDs, which will save time; however, further investigations, especially regarding the reliability over the long-term, are suggested in the peculiar application to proof the suitability of the chosen LEDs to the sensor it will be used for.