# External Quantum Efficiency Improvement with Luminescent Downshifting Layers: Experimental and Modelling

Authors: H. Ahmed; S. J. McCormack; J. Doran
Journal: International Journal of Spectroscopy
 (2016)

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## Abstract

Core-shell quantum dots CdSe/ZnS and lumogen yellow organic dye are characterized by their inclusion in luminescent downshifting (LDS) layers. Layers were deposited on top of crystalline silicon cell (c-Si), dye synthesized solar cell (DSSC), and cadmium telluride (CdTe) minimodules. External quantum efficiency measurements for the solar cell/LDS devices are discussed. Experimental results were compared with an optical model developed by Rothemund, 2014.


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## Body

## 1. Introduction

Luminescent downshifting (LDS) is an optical approach to increase a solar cell’s spectral response by using luminescent materials to convert high energy photons to lower energy before the interaction with the solar cells occurs [1–7]. The downshifted photons have wavelength which may better match the photosensitivity spectral response of the solar cell as illustrated in Figure 1. A typical LDS consists of luminescent species such as organic dyes and quantum dots doped in a transparent polymer sheet applied on top of PV cells [8–13].Figure 1
Solar spectrum and PV cells typical absorption ranges.


## 2. Experimental

### 2.1. LDS Layers and Devices Fabrication

The luminescent materials used in this investigation were core-shell quantum dots CdSe/ZnS purchased from Cytodiagnostics, Canada, and lumogen yellow dye developed and manufactured by BASF, Germany. A clear polymer poly(methyl methacrylate) (PMMA) (Carl Roth GmbH + Co.KG) was used for the encapsulation of LDS layers.The LDS layers were prepared as follows.The QDs/dye were mixed in toluene and sonicated in an ultrasonic bath for 10 minutes. The mixture was then added to PMMA solution (50 wt%), magnetically stirred for 20 minutes, and then placed in an ultrasonic bath for another 15 minutes. Prepared solutions were drop cast on glass substrates and cured for 72 hours at 25°C under a vacuum of 800 mbar. Uniform layers were obtained when removed from the glass substrate. The average thickness of the layers was measured by white light interferometer technique and found to be0.95±0.05 μm.The luminescent quantum yield (LQY) measurements of LDS films were measured using the integrating sphere method [14, 15] found to be 0.58±0.08 for QD-LDS layer and 0.87±0.08 for dye-LDS layer.UV/Vis/NIR absorption spectroscopy was used to measure the absorption characteristics of the LDS layers investigated in this study. The UV/Vis/NIR absorption spectrometer used was a Perkin Elmer Lambda 900. The emission spectra were measured by optically pumping samples using a monochromated light source using a luminescence spectrometer (Perkin Elmer LS55B). QD and dye absorption and emission spectra in a PMMA film (0.09 wt% and 0.9 wt%) are shown in Figures2 and 3, respectively.Figure 2
Absorbance and fluorescence emission spectra of CdSe/ZnS QDs.Figure 3
Absorbance and fluorescence emission spectra of lumogen yellow dye.Monocrystalline silicon cells (2 × 2 cm, Sunrydz, Germany), dye-sensitized solar cells (1 × 1 cm, Solar Print, Ireland, the details fabrication of which are confidential), and CdTe minimodules (15.24 × 15.24 cm, Advanced Solar Power INC, China) were used for assessing the downshifting effect of the LDS layers. Devices were fabricated by directly depositing the LDS layers on top of the solar cells surface, using PMMA solution to glue the layers. The deposited layers were left for three days to dry and stick to the cells.


### 2.2. External Quantum Efficiency Measurements

External quantum efficiency (EQE) measurement is an indicator of how well the solar cell converts incident photons (of a specific wavelength) to electricity. The EQE is the ratio of the number of charge carriers that are collected by the solar cell to the number of photons of a given wavelength entered into the solar cell [16].The EQE system used was Bentham PVE300. The system uses a monochromatic probe source from a TMc300, 300 mm focal length monochromator, and a dual Xenon/quartz halogen light source providing optimum illumination from 300 to 1100 nm. The monochromatic beam area is 1.85 mm2 and is directed at the centre of the cell, measuring the photocurrent generated by the cell at each wavelength. A calibrated silicon detector (10 × 10 mm with calibration traceable to national standards) was used to calibrate the system for the measurements of spectral responsivity by determining the power in the probe beam as a function of wavelength, with uncertainties of 5% for 300−400 nm. The PVE300 is entirely automated through a computer based interface using the Benwin+ software program. The probe source is operated in the AC mode to discriminate the photocurrent generated by the probe from that generated by the DC bias of one sun (1000 w/m2) during the measurements. To obtain the AC signal, an optical chopper is used at frequency of 600 Hz with a lock-in amplifier having a 474 transformer that passes only the optically chopped signal to be amplified. However, in the case of DSSC cells, which have a particularly slow electron transport, it is necessary to either run the monochromatic probe beam in DC mode or use slower chopping frequencies, less than 10 Hz. The DSSC output is passed through a 497 transimpedance amplifier prior to being passed to the lock-in amplifier.


## 2.1. LDS Layers and Devices Fabrication

The luminescent materials used in this investigation were core-shell quantum dots CdSe/ZnS purchased from Cytodiagnostics, Canada, and lumogen yellow dye developed and manufactured by BASF, Germany. A clear polymer poly(methyl methacrylate) (PMMA) (Carl Roth GmbH + Co.KG) was used for the encapsulation of LDS layers.The LDS layers were prepared as follows.The QDs/dye were mixed in toluene and sonicated in an ultrasonic bath for 10 minutes. The mixture was then added to PMMA solution (50 wt%), magnetically stirred for 20 minutes, and then placed in an ultrasonic bath for another 15 minutes. Prepared solutions were drop cast on glass substrates and cured for 72 hours at 25°C under a vacuum of 800 mbar. Uniform layers were obtained when removed from the glass substrate. The average thickness of the layers was measured by white light interferometer technique and found to be0.95±0.05 μm.The luminescent quantum yield (LQY) measurements of LDS films were measured using the integrating sphere method [14, 15] found to be 0.58±0.08 for QD-LDS layer and 0.87±0.08 for dye-LDS layer.UV/Vis/NIR absorption spectroscopy was used to measure the absorption characteristics of the LDS layers investigated in this study. The UV/Vis/NIR absorption spectrometer used was a Perkin Elmer Lambda 900. The emission spectra were measured by optically pumping samples using a monochromated light source using a luminescence spectrometer (Perkin Elmer LS55B). QD and dye absorption and emission spectra in a PMMA film (0.09 wt% and 0.9 wt%) are shown in Figures2 and 3, respectively.Figure 2
Absorbance and fluorescence emission spectra of CdSe/ZnS QDs.Figure 3
Absorbance and fluorescence emission spectra of lumogen yellow dye.Monocrystalline silicon cells (2 × 2 cm, Sunrydz, Germany), dye-sensitized solar cells (1 × 1 cm, Solar Print, Ireland, the details fabrication of which are confidential), and CdTe minimodules (15.24 × 15.24 cm, Advanced Solar Power INC, China) were used for assessing the downshifting effect of the LDS layers. Devices were fabricated by directly depositing the LDS layers on top of the solar cells surface, using PMMA solution to glue the layers. The deposited layers were left for three days to dry and stick to the cells.


## 2.2. External Quantum Efficiency Measurements

External quantum efficiency (EQE) measurement is an indicator of how well the solar cell converts incident photons (of a specific wavelength) to electricity. The EQE is the ratio of the number of charge carriers that are collected by the solar cell to the number of photons of a given wavelength entered into the solar cell [16].The EQE system used was Bentham PVE300. The system uses a monochromatic probe source from a TMc300, 300 mm focal length monochromator, and a dual Xenon/quartz halogen light source providing optimum illumination from 300 to 1100 nm. The monochromatic beam area is 1.85 mm2 and is directed at the centre of the cell, measuring the photocurrent generated by the cell at each wavelength. A calibrated silicon detector (10 × 10 mm with calibration traceable to national standards) was used to calibrate the system for the measurements of spectral responsivity by determining the power in the probe beam as a function of wavelength, with uncertainties of 5% for 300−400 nm. The PVE300 is entirely automated through a computer based interface using the Benwin+ software program. The probe source is operated in the AC mode to discriminate the photocurrent generated by the probe from that generated by the DC bias of one sun (1000 w/m2) during the measurements. To obtain the AC signal, an optical chopper is used at frequency of 600 Hz with a lock-in amplifier having a 474 transformer that passes only the optically chopped signal to be amplified. However, in the case of DSSC cells, which have a particularly slow electron transport, it is necessary to either run the monochromatic probe beam in DC mode or use slower chopping frequencies, less than 10 Hz. The DSSC output is passed through a 497 transimpedance amplifier prior to being passed to the lock-in amplifier.


## 3. Analyzing EQE Spectra Using Rothemund Optical Model

To evaluate the effect of the LDS layer on the EQE of the solar cells investigated in this paper, the model developed by Rothemund, 2014, was used [17]. The aim of this analysis was to validate the experimental results obtained and to gain an insight into LDS processes. This particular model was chosen because it is simple to implement and it has shown an excellent agreement with simulated EQE and measured EQE spectra in a number of studies [5, 8, 18, 19]. In this model, the incoming photon flux density was separated into two fractions, the absorbed fraction (Absf) and the transmitted fraction (Transf). Absf is the fraction of light that is absorbed and reemitted by the luminescent particles while Transf is the fraction of light that reaches the solar cell as if no LDS layer was attached.The number of photons absorbed by the LDS layer compared to the incoming photons flux can be calculated for each wavelength using the Lambert-Beer law as follows:(1)Absfλ=φAbsφincoming=1-exp⁡-ΛAbs·Aλ.The term ΛAbs is a scaling factor which describes the absorption A(λ) and it is directly proportional to the concentration of the luminescent species and the LDS layer thickness.The number of photons transmitted can be calculated as follows:(2)Transfλ=1-Absfλ.The effect of the absorbed fraction of light Absf(λ,ΛAbs) that has been downshifted to longer wavelength is described by introducing the LDS efficiency ηLDS term. LDS ηLDS is the fraction of the photons that is downshifted and reaches the solar cell to that absorbed by the LDS layer. All the loss mechanisms (illustrated in Figure 4) due to the LDS layer such as imperfect photoluminescent quantum yield, escape cone loss, and self-absorption are considered by the parameter ηLDS. Therefore, ηLDS can be estimated as follows: (3)ηLDS=ηPL1-Lesc1-LreAbs1-Lother.ηPL is the photoluminescent quantum yield of the LDS layer, Lesc is front-side escape loss due to isotropic emission, which is calculated to be 12.5% [4], LreAbs accounts for the self-absorption affect, and Lother accounts for any other loss such as reflectance and escape through the side of the LDS layer. The reflectance due to the incorporation of the LDS materials in the matrix was considered to be zero for simplicity and any effect due to reflectance is considered in the term Lother of (3).Figure 4
Optical losses in LDS layers (reproduced from [17]).For an efficient LDS layer, absorbed photons must be reemitted at wavelengths where the EQE of the solar cell is high so they can be readily converted into electricity. Therefore, emission spectral matching (ESM), which is defined as the fraction of the emission that overlaps with the EQE [5, 17], is used in the model to calculate LDS efficiency. ESM is given as follows:(4)ESM=∫PLλ′EQErefλ′dλ′PLλ′dλ′.EQE of the LDS layer is derived by considering the photons absorbed by the LDS layer and those transmitted and is given as follows:(5)EQELDS=Absfλ·ηLDS·ESM+Transfλ·EQErefλ.This model needs only the emission and the absorption of the LDS layer plus the EQE of the solar cell as an input. EQE of the LDS layer is fully described by the LDS layer efficiency, ηLDS, and ΛAbs, the absorbance scaling factor.


## 4. Results and Discussion

### 4.1. QD-LDS Layers on Top of c-Si Solar Cell

Figure5 presents the experimental EQE measured for c-Si solar cells with and without QD-LDS layers together with the best fit for EQELDS using (5) and varying only the LDS layer efficiency, ηLDS, and ΛAbs, the absorbance scaling factor. An excellent agreement is obtained of the simulated spectra for QD-LDS layer and its experimental data. EQE of the bare c-Si solar cell has shown a very poor optical response and hence low EQE at wavelengths below 400 nm. At these wavelengths, EQE is enhanced for the cell encapsulated with QD-LDS layer, reaching 23% at 300 nm and up to 28% at 365 nm. The improvement in EQE occurs because photons are absorbed by the QDs molecules and then reemitted at longer emission wavelengths. ESM calculated for the Si solar cell was 0.90. Both absorbance scaling factor, ΛAbs, and LDS efficiency, ηLDS, were varied and the best fit was obtained at values of 0.5 and 0.46, respectively. The LDS layer efficiency value is considered reasonable in the light of LQY measured for QD-LDS layer in PMMA which is 0.58±0.08. Considering all the loss mechanisms in (3), escape loss alone is reducing the layer efficiency to 0.51 (0.58 (1-Lesc (0.125) = 0.5075) and the other 5% is attributed to reabsorption loss and any other possible loss due to the presence of LDS layer. For QDs with high LQY such as reported by De Mello Donegá et al., 2003, 85% [20], the efficiency of LDS layer using (3) would be around 69%.Figure 5
Experimental EQE spectra of c-Si solar cells with QD-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].


### 4.2. QD-LDS Layers on Top of DSSC Solar Cells

Figure6 presents the experimental EQE measured for DSSC solar cells with and without QD-LDS layer together with the best fit for EQELDS using (5). An excellent agreement was obtained between simulated spectra for QD-LDS layer and experimental data by varying only the LDS layer efficiency ηLDS while fixing the absorbance scaling factor ΛAbs to the same values obtained in modelling LDS layer on top of c-Si solar cell which was 0.5. Absorbance scaling factor is dependent on the concentration and the thickness of the LDS layer which has been assumed to be the same for the QD-LDS layer. EQE for the DSSC solar cell has shown overall decrease of about ~3% in EQE for QD-LDS layer. We were previously shown [13] that this decrease arising due to optical losses because of the specific DSSC geometry in which the 3 mm thick cover glass significantly decreases the fraction of the emitted photons transmitted to the photoactive layer in the DSSC. ESM calculated for the DSSC solar cell was 0.39. The LDS layer efficiency ηLDS best fit was for a value of 0.42. This is lower than what has been calculated for c-Si solar cell which was 0.46. This could be due to effect of reflection at the interface (DSSC top cover is glass and c-Si cell has an ARC coating on the top cell) which might increase escape loss in DSSC solar cell.Figure 6
Experimental EQE spectra of DSSC solar cells with QD-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].


### 4.3. QD-LDS Layers on Top of CdTe Minimodules

Figure7 presents the experimental EQE measured for CdTe mini modules with and without QD-LDS layers together with the best fit for EQELDS using (5) and varying only the LDS layer efficiency, ηLDS, while fixing ΛAbs the absorbance scaling factor to a value of 0.5. An excellent agreement was obtained of simulated spectra for QD-LDS and its experimental data. The EQE of the CdTe minimodules with QD-LDS layer shows an improvement in EQE, reaching 10–16% within 300–485 nm. There is a slight reduction at 485–505 nm due to the overlap between the absorption and emission spectra which causes self-absorption. This effect is due to the relative difference in EQE between the QDs absorption and emission wavelengths which is not great enough to overcome the loss associated with reabsorption in these regions [21]. ESM calculated for the CdTe solar cell was 0.31. LDS layer efficiency ηLDS best fit was for a value of 0.44.Figure 7
Experimental EQE spectra of CdTe solar cells with QD-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].The absorbance scaling factor,ΛAbs, and the LDS layer efficiency, ηLDS, for QD layer are presented in Table 1 together with the EQE enhancement calculated for each cell.Table 1
The absorbance scaling factor and the LDS layers efficiency of QD-LDS layer with the EQE enhancements calculated for c-Si, DSSC solar cells, and CdTe minimodules.
c-Si
DSSC
CdTe
Λ
A
b
s
0.5
0.5
0.5
η
L
D
S: QD-LDS
0.46
0.42
0.44
EQE enhancement %
23–28 (300–365 nm)
−3
10–16 (300–485 nm)


### 4.4. Lumogen Yellow LDS Layers on Top of CdTe Minimodules

Figure8 presents the experimental EQE measured for CdTe minimodules with and without LDS layers of lumogen yellow dye together with the best fit for EQELDS using (5) and varying only the LDS layer efficiency, ηLDS, and ΛAbs, the absorbance scaling factor. An excellent agreement was obtained of simulated spectra for lumogen yellow dye-LDS layer and its experimental data. EQE has increased significantly reaching 10–30% within 300–485 nm, compared with QD-LDS layers in Figure 5. ESM calculated for the CdTe minimodules was 0.4. Absorbance scaling factor, ΛAbs, and efficiency, ηLDS, of the LDS layer were varied and the best fit was obtained at value of 0.7 for both. LQY obtained for lumogen yellow dye-LDS layer was 87%. Considering all the loss mechanisms in (3), escape loss alone is reducing the lumogen yellow LDS efficiency to 76% (87% (1-Lesc (0.125) = 0.7613) and the other 6% is attributed to reabsorption loss and any other possible loss due to the presence of dye-LDS layer.Figure 8
Experimental EQE spectra of CdTe solar cells with lumogen yellow dye-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].The input parameters used for modelling lumogen yellow dye-LDS layers on the CdTe minimodules were used to estimate the performance of the lumogen yellow LDS on top of c-Si and DSSC solar cells. The simulation results are shown in Figures9 and 10, respectively. EQE of the bare c-Si solar cell with lumogen yellow dye-LDS layer has shown a better optical response compared to QD-LDS layer in Figure 5 reaching (30 to 40%) at wavelengths less than 400 nm. However, at wavelengths between 400 and 580 nm, EQE was found to be decreased and most probably this decrease is due to self-absorption of lumogen yellow dye.Figure 9
Experimental EQE spectra of c-Si solar cell with simulation of lumogen yellow dye-LDS layer withηLDS of 0.7 using the optical model of Rothemund, 2014 [17].Figure 10
Experimental EQE spectra of DSSC solar cells with simulation of lumogen yellow LDS withηLDS of 0.7 using the optical model of Rothemund, 2014 [17].EQE of the bare DSSC solar cells with lumogen yellow dye-LDS layer has shown a significant increase reaching 12–32% within 300–450 nm compared to the QD-LDS in Figure6 which has shown an overall decrease in EQE. Some decrease in EQE within 460–600 nm was observed for lumogen yellow dye-LDS layer due to self-absorption. Absorbance scaling factor and LDS layer efficiency for lumogen yellow dye layers on CdTe minimodules are summarised in Table 2. The EQE enhancement calculated for solar cell is presented too.Table 2
The absorbance scaling factor and the LDS layers efficiency of dye-LDS layer with the EQE enhancements calculated for CdTe minimodules.
c-Si
DSSC
CdTe
Λ
A
b
s
0.7
0.7
0.7
η
L
D
S: dye-LDS
0.70
0.70
0.70
EQE enhancement %
30–40 (300–365 nm)
12–32 (300–450 nm)
10–30 (300–485 nm)The initial value used for LDS efficiency,ηLDS, as an input in the model was estimated from the LQY value obtained for the layer minus the optical loss expected (~15%) due to the presence of LDS layer. The absorbance scaling factor, ΛAbs, and ηLDS were then both varied until the best fit was obtained. The absorbance scaling factor was fixed, assuming that the concentration of the layer and the thickness were the same, since both were optimised. The variation observed in ηLDS for QD-LDS layer, for example, 0.46, 0.42, and 0.41 for c-Si, DSSC, and CdTe, respectively, could be attributed to experimental errors while fabricating the layers or in the deposition process of LDS layer on top of the solar cells. Moreover, it could be due to optical losses due to different cell technologies. The difference in ΛAbs for QD-LDS and dye-LDS layers is clearly due to the difference in concentration in each layer. LDS efficiency was higher for lumogen yellow LDS layer because the LQY was higher (>87% compared to 58%).


## 4.1. QD-LDS Layers on Top of c-Si Solar Cell

Figure5 presents the experimental EQE measured for c-Si solar cells with and without QD-LDS layers together with the best fit for EQELDS using (5) and varying only the LDS layer efficiency, ηLDS, and ΛAbs, the absorbance scaling factor. An excellent agreement is obtained of the simulated spectra for QD-LDS layer and its experimental data. EQE of the bare c-Si solar cell has shown a very poor optical response and hence low EQE at wavelengths below 400 nm. At these wavelengths, EQE is enhanced for the cell encapsulated with QD-LDS layer, reaching 23% at 300 nm and up to 28% at 365 nm. The improvement in EQE occurs because photons are absorbed by the QDs molecules and then reemitted at longer emission wavelengths. ESM calculated for the Si solar cell was 0.90. Both absorbance scaling factor, ΛAbs, and LDS efficiency, ηLDS, were varied and the best fit was obtained at values of 0.5 and 0.46, respectively. The LDS layer efficiency value is considered reasonable in the light of LQY measured for QD-LDS layer in PMMA which is 0.58±0.08. Considering all the loss mechanisms in (3), escape loss alone is reducing the layer efficiency to 0.51 (0.58 (1-Lesc (0.125) = 0.5075) and the other 5% is attributed to reabsorption loss and any other possible loss due to the presence of LDS layer. For QDs with high LQY such as reported by De Mello Donegá et al., 2003, 85% [20], the efficiency of LDS layer using (3) would be around 69%.Figure 5
Experimental EQE spectra of c-Si solar cells with QD-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].


## 4.2. QD-LDS Layers on Top of DSSC Solar Cells

Figure6 presents the experimental EQE measured for DSSC solar cells with and without QD-LDS layer together with the best fit for EQELDS using (5). An excellent agreement was obtained between simulated spectra for QD-LDS layer and experimental data by varying only the LDS layer efficiency ηLDS while fixing the absorbance scaling factor ΛAbs to the same values obtained in modelling LDS layer on top of c-Si solar cell which was 0.5. Absorbance scaling factor is dependent on the concentration and the thickness of the LDS layer which has been assumed to be the same for the QD-LDS layer. EQE for the DSSC solar cell has shown overall decrease of about ~3% in EQE for QD-LDS layer. We were previously shown [13] that this decrease arising due to optical losses because of the specific DSSC geometry in which the 3 mm thick cover glass significantly decreases the fraction of the emitted photons transmitted to the photoactive layer in the DSSC. ESM calculated for the DSSC solar cell was 0.39. The LDS layer efficiency ηLDS best fit was for a value of 0.42. This is lower than what has been calculated for c-Si solar cell which was 0.46. This could be due to effect of reflection at the interface (DSSC top cover is glass and c-Si cell has an ARC coating on the top cell) which might increase escape loss in DSSC solar cell.Figure 6
Experimental EQE spectra of DSSC solar cells with QD-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].


## 4.3. QD-LDS Layers on Top of CdTe Minimodules

Figure7 presents the experimental EQE measured for CdTe mini modules with and without QD-LDS layers together with the best fit for EQELDS using (5) and varying only the LDS layer efficiency, ηLDS, while fixing ΛAbs the absorbance scaling factor to a value of 0.5. An excellent agreement was obtained of simulated spectra for QD-LDS and its experimental data. The EQE of the CdTe minimodules with QD-LDS layer shows an improvement in EQE, reaching 10–16% within 300–485 nm. There is a slight reduction at 485–505 nm due to the overlap between the absorption and emission spectra which causes self-absorption. This effect is due to the relative difference in EQE between the QDs absorption and emission wavelengths which is not great enough to overcome the loss associated with reabsorption in these regions [21]. ESM calculated for the CdTe solar cell was 0.31. LDS layer efficiency ηLDS best fit was for a value of 0.44.Figure 7
Experimental EQE spectra of CdTe solar cells with QD-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].The absorbance scaling factor,ΛAbs, and the LDS layer efficiency, ηLDS, for QD layer are presented in Table 1 together with the EQE enhancement calculated for each cell.Table 1
The absorbance scaling factor and the LDS layers efficiency of QD-LDS layer with the EQE enhancements calculated for c-Si, DSSC solar cells, and CdTe minimodules.
c-Si
DSSC
CdTe
Λ
A
b
s
0.5
0.5
0.5
η
L
D
S: QD-LDS
0.46
0.42
0.44
EQE enhancement %
23–28 (300–365 nm)
−3
10–16 (300–485 nm)


## 4.4. Lumogen Yellow LDS Layers on Top of CdTe Minimodules

Figure8 presents the experimental EQE measured for CdTe minimodules with and without LDS layers of lumogen yellow dye together with the best fit for EQELDS using (5) and varying only the LDS layer efficiency, ηLDS, and ΛAbs, the absorbance scaling factor. An excellent agreement was obtained of simulated spectra for lumogen yellow dye-LDS layer and its experimental data. EQE has increased significantly reaching 10–30% within 300–485 nm, compared with QD-LDS layers in Figure 5. ESM calculated for the CdTe minimodules was 0.4. Absorbance scaling factor, ΛAbs, and efficiency, ηLDS, of the LDS layer were varied and the best fit was obtained at value of 0.7 for both. LQY obtained for lumogen yellow dye-LDS layer was 87%. Considering all the loss mechanisms in (3), escape loss alone is reducing the lumogen yellow LDS efficiency to 76% (87% (1-Lesc (0.125) = 0.7613) and the other 6% is attributed to reabsorption loss and any other possible loss due to the presence of dye-LDS layer.Figure 8
Experimental EQE spectra of CdTe solar cells with lumogen yellow dye-LDS layer and spectra derived using the optical model of Rothemund, 2014 [17].The input parameters used for modelling lumogen yellow dye-LDS layers on the CdTe minimodules were used to estimate the performance of the lumogen yellow LDS on top of c-Si and DSSC solar cells. The simulation results are shown in Figures9 and 10, respectively. EQE of the bare c-Si solar cell with lumogen yellow dye-LDS layer has shown a better optical response compared to QD-LDS layer in Figure 5 reaching (30 to 40%) at wavelengths less than 400 nm. However, at wavelengths between 400 and 580 nm, EQE was found to be decreased and most probably this decrease is due to self-absorption of lumogen yellow dye.Figure 9
Experimental EQE spectra of c-Si solar cell with simulation of lumogen yellow dye-LDS layer withηLDS of 0.7 using the optical model of Rothemund, 2014 [17].Figure 10
Experimental EQE spectra of DSSC solar cells with simulation of lumogen yellow LDS withηLDS of 0.7 using the optical model of Rothemund, 2014 [17].EQE of the bare DSSC solar cells with lumogen yellow dye-LDS layer has shown a significant increase reaching 12–32% within 300–450 nm compared to the QD-LDS in Figure6 which has shown an overall decrease in EQE. Some decrease in EQE within 460–600 nm was observed for lumogen yellow dye-LDS layer due to self-absorption. Absorbance scaling factor and LDS layer efficiency for lumogen yellow dye layers on CdTe minimodules are summarised in Table 2. The EQE enhancement calculated for solar cell is presented too.Table 2
The absorbance scaling factor and the LDS layers efficiency of dye-LDS layer with the EQE enhancements calculated for CdTe minimodules.
c-Si
DSSC
CdTe
Λ
A
b
s
0.7
0.7
0.7
η
L
D
S: dye-LDS
0.70
0.70
0.70
EQE enhancement %
30–40 (300–365 nm)
12–32 (300–450 nm)
10–30 (300–485 nm)The initial value used for LDS efficiency,ηLDS, as an input in the model was estimated from the LQY value obtained for the layer minus the optical loss expected (~15%) due to the presence of LDS layer. The absorbance scaling factor, ΛAbs, and ηLDS were then both varied until the best fit was obtained. The absorbance scaling factor was fixed, assuming that the concentration of the layer and the thickness were the same, since both were optimised. The variation observed in ηLDS for QD-LDS layer, for example, 0.46, 0.42, and 0.41 for c-Si, DSSC, and CdTe, respectively, could be attributed to experimental errors while fabricating the layers or in the deposition process of LDS layer on top of the solar cells. Moreover, it could be due to optical losses due to different cell technologies. The difference in ΛAbs for QD-LDS and dye-LDS layers is clearly due to the difference in concentration in each layer. LDS efficiency was higher for lumogen yellow LDS layer because the LQY was higher (>87% compared to 58%).


## 5. Conclusion

This paper investigated the performance of c-Si, DSSC solar cells, and CdTe minimodules encapsulated by PMMA solid sheet doped with quantum dots CdSe/ZnS and lumogen yellow dye. External quantum efficiency measurements have shown that an increase in the short-wavelength response of the c-Si and CdTe minimodules was achieved due to the presence of QD-LDS and dye-LDS layers. DSSC solar cell shows an overall decrease in EQE for QD-LDS layer; it is believed to be due to optical losses because of the specific DSSC geometry. The optical model of Rothemund, 2014 [17], was found to be an excellent match with EQE measured for the fabricated devices. LDS efficiency ηLDS extracted from the model for QD-LDS layer was 44±2% while for lumogen yellow LDS was 70%.



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