Programm Photovoltaik Ausgabe 2008 ... - Bundesamt für Energie BFE
Programm Photovoltaik Ausgabe 2008 ... - Bundesamt für Energie BFE Programm Photovoltaik Ausgabe 2008 ... - Bundesamt für Energie BFE
5/9 Fig. 4: Photoluminescence spectra as a function of excitation energy for red light emitting CdSe/ZnO core shell quantum dots, crystal size 5 nm. Validation of the simulation software Comparison Simulation vs. Theory: The transmission and reflection events at the interface are generated from the Fresnel formulae by a Monte Carlo algorithm based on the inverse function method. A verification of the computer code is shown in Fig. 5. The solid lines correspond to the theoretical transsmittance/reflectance values for elliptically polarized rays with ����35°�and ����30° incident at the interface of two media with the refractive indices 1.5 and 1. The simulated data (open circles in Fig.5) match perfectly the theoretical curves. Above the critical angle, total reflection occurs. reflectance / transmittance [%] 100 80 60 40 20 0 0 20 40 incident angle [°] polarization parameters of incident ray : psi = 35° alpha = 30° refractive indices: n1 = 1.5 n2 = 1 theoretical reflectance simulated reflectance theoretical transmittance simulated transmittance 60 80 Fig. 5: Validation of transmission/reflection probabilities for elliptically polarized rays. The simulated data match the theoretical curves. Comparison Simulation vs. Experiment: For fluorescent dye colored PMMA samples, spectra of edge emission were measured and simulated. The length of the mean lateral optical path was varied. Simulations and measurements showed very good agreement. For colloidal CdSe/ZnS quantum dots, transmittance spectra have been simulated and compared to the experimental data. For the transmittance measurement, the core shell quantum dots were immersed in toluene and contained in a glass cuvette with an optical path length of 10 mm. The results for blue emitting CdSe/ZnS quantum dots with a crystal size of 2 nm are illustrated by Fig. 6. A close match between simulated and measured transmittance data has been achieved. Evaluation du potentiel de concentrateurs à quantum dots pour la production d’électricité photovoltaïque, A. Schüler, EPFL Seite 231 von 288
transmittance [%] 90 80 70 60 50 40 30 400 450 500 wavelength [nm] measured simulated 550 Fig. 6: Measured and simulated transmittance, blue emitting CdSe/ZnS quantum dots, crystal size 2 nm. Provide data of optical constants for quantum dots Commercially available VIS-emitting CdSe/ZnS quantum dots with four different emission wavelengths (corresponding to the colors blue, green, yellow and red) have been characterized experimentally by determining the absorption coefficient and the fluorescent map. Since NIR-emitting quantum dots were not easily available without special agreements (e.g. PbS quantum dots from EVIDENT Technologies), the optical data had to be extrapolated. The extrapolation procedure is illustrated by Fig.7. For the simulations, various Stokes shifts from 25nm to 85nm have been assumed (For comparison: the Stokes shift of CdS quantum dots immersed in SiO2 coatings produced by our laboratory exhibit Stokes shifts in the order of 60nm. Normalized intensity [a.u.] 1.2 1.0 0.8 0.6 0.4 0.2 0.0 400 34nm 37.5nm 500 Absorption and Fluorescence Emission Placid Blue Maple Red NIR QDs Stokes 45nm NIR QDs Stokes 25nm 20.4nm 22.9nm 25.4nm 600 700 Wavelength [nm] 800 47nm 900 Stokes Shift Fig. 7: Spectra of the absorption coefficient and the photoluminescent reemission as used in the simulations. Simulation of quantum dot solar concentrators Because of the complexity of the problem we limited ourselves to devices consisting of a single concentrating pane (quantum dots contained in bulk or applied as coating) in combination with crystalline silicon PV cells. The obtained efficiencies do thus not yet represent an upper limit, higher efficiencies can be obtained for stacked devices (e.g. tandem or triple stacks) in combination with PV cells made of different semiconductors materials with matched band gaps. Seite 232 von 288 Evaluation du potentiel de concentrateurs à quantum dots pour la production d’électricité photovoltaïque, A. Schüler, EPFL 1000 FWHM 6/9
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5/9<br />
Fig. 4: Photoluminescence spectra as a function of excitation energy for red light emitting CdSe/ZnO<br />
core shell quantum dots, crystal size 5 nm.<br />
Validation of the simulation software<br />
Comparison Simulation vs. Theory:<br />
The transmission and reflection events at the interface are generated from the Fresnel formulae by a<br />
Monte Carlo algorithm based on the inverse function method. A verification of the computer code is<br />
shown in Fig. 5. The solid lines correspond to the theoretical transsmittance/reflectance values for<br />
elliptically polarized rays with ����35°�and ����30° incident at the interface of two media with the refractive<br />
indices 1.5 and 1. The simulated data (open circles in Fig.5) match perfectly the theoretical<br />
curves. Above the critical angle, total reflection occurs.<br />
reflectance / transmittance [%]<br />
100<br />
80<br />
60<br />
40<br />
20<br />
0<br />
0<br />
20<br />
40<br />
incident angle [°]<br />
polarization parameters<br />
of incident ray :<br />
psi = 35°<br />
alpha = 30°<br />
refractive indices:<br />
n1 = 1.5<br />
n2 = 1<br />
theoretical reflectance<br />
simulated reflectance<br />
theoretical transmittance<br />
simulated transmittance<br />
60<br />
80<br />
Fig. 5: Validation of transmission/reflection probabilities for elliptically polarized rays. The simulated<br />
data match the theoretical curves.<br />
Comparison Simulation vs. Experiment:<br />
For fluorescent dye colored PMMA samples, spectra of edge emission were measured and simulated.<br />
The length of the mean lateral optical path was varied. Simulations and measurements showed very<br />
good agreement. For colloidal CdSe/ZnS quantum dots, transmittance spectra have been simulated<br />
and compared to the experimental data. For the transmittance measurement, the core shell quantum<br />
dots were immersed in toluene and contained in a glass cuvette with an optical path length of 10 mm.<br />
The results for blue emitting CdSe/ZnS quantum dots with a crystal size of 2 nm are illustrated by<br />
Fig. 6. A close match between simulated and measured transmittance data has been achieved.<br />
Evaluation du potentiel de concentrateurs à quantum dots pour la production d’électricité photovoltaïque, A. Schüler, EPFL Seite 231 von 288