See-through amorphous silicon solar cells with selectively transparent and conducting photonic crystal back reflectors for building integrated photovoltaics Yang Yang, 1 Paul G. O’ Brien, 2, 3 Geoffrey A. Ozin, 3,a) and Nazir P. Kherani 1, 2, a) 1 The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, 10 King’s College Road, Room GB254B, Toronto, ON M5S 3G4, Canada 2 Department of Materials Science and Engineering, University of Toronto, 184 College Street Room 140, Toronto, ON M5S 3E4, Canada 3 Materials Chemistry Research Group, Department of Chemistry, University of Toronto, 80 St. George Street, Toronto, ON M5S 3H6, Canada Supplementary Information I. Angular and Polarization Dependence of STCPC Reflectance We measured the angular and polarization dependence of the reflectance of the STCPC samples BR460, BR520 and BR620, which is shown in FIG S1, S2 and S3 respectively. For both the p- and s-polarized incident light, the Bragg peak position experiences a blue shift with increasing angle of incidence. For p-polarized light, the reflectance peak intensity decreases when the angle of incidence increases from 8 degrees to 40 degrees. The FWHM of the Bragg reflectance peak decreases for p-polarized light with increasing angle of incidence, indicating a decrease in the stop bandwidth, while the FWHM of the Bragg reflectance peak is essentially unchanged for s-polarized light with a ) Authors to whom correspondence should be addressed. Electronic mail: kherani@ecf.utoronto.ca; gozin@chem.utoronto.ca increasing angle of incidence. The angular dependence of the reflectance spectra of the STCPCs for different polarizations shows a similar trend as that reported in the literature for 1-D holographic photonic crystals.1, 2 It is noteworthy that the critical angle ϴc at which the stop band disappears for ppolarized incident light is defined as c arctan( a b ) ( a b ) v a b (1) where εa and εb are the dielectric constants of the layers comprising a 1-D photonic crystal and εv is the ambient dielectric constant (εv =1 for air).3 For our STCPC samples, the dielectric constants of the ITO and SiO2 nanoparticle layers which comprise the 1-D photonic crystal at Bragg peak wavelengths of 460nm, 520nm and 620nm are listed in Table I. For the STCPC samples used in this study, it can be shown by simple calculation that the argument in equation (1) is not real and hence the condition for observing the critical angle is not satisfied. Table I. Dielectric constants of ITO layer and SiO2 nanoparticle layer at wavelengths corresponding to the Bragg peak positions of the STCPC samples. The dielectric constants were determined using spectroscopic ellipsometry. Wavelength (nm) εITO εSiO2 460 4.24 1.82 520 3.96 1.81 620 3.76 1.79 FIG.S1. Reflectance of BR460 with (a) p-polarized light, (b) s-polarized light and (c) unpolarized light at incident angles of 8, 20 and 40 degrees, respectively. FIG.S2. Reflectance of BR520 with (a) p-polarized light, (b) s-polarized light and (c) unpolarized light at incident angle of 8, 20 and 40 degrees, respectively. FIG.S3. Reflectance of BR620 with (a) p-polarized light, (b) s-polarized light and (c) unpolarized light at incident angle of 8, 20 and 40 degrees, respectively. II. Calculation of Jsc with Different Bragg Peak Positions The extinction coefficient and absorption coefficient of a-Si:H films are well documented in the literature. In order to study the effects of different STCPC reflectors we designed Bragg reflectors with reflection peaks at 460 nm, 520 nm and 620 nm. Using the scattering matrix method we calculated the Jsc of the 135 nm a-Si:H cell on STCPC rear contacts with Bragg peaks at 460 nm, 520 nm and 620 nm. The comparison of the calculated and the experimental results is shown in FIG.S4. FIG.S4. Comparison of experimental Jsc (solid black square) and calculated Jsc (solid red circle) using the scattering matrix method. The relative increase of experimental Jsc (open black squares) and the relative increase of calculated Jsc (open red circles) relative to the 200 nm ITO back reflector reference is also shown. III. a-Si:H deposition parameters The deposition gas flow rate for the n, i and p layers in the a-Si:H n-i-p cell are listed in Table II. The substrate temperature during the deposition for each layer is 200°C. The RF power used for all the three layers are 2.0W. Table II. Gas flow rate for n, i and p layers in the a-Si:H deposition. Silane (sccm) Diborane (sccm) Phosphine (sccm) n-layer 8 0 20 i-layer 30 0 0 p-layer 8 20 0 REFERENCES 1. V. Kimberg, F. Gel’mukhanov, H. Ågren, E. Pen, A. Plekhanov, I. Kuchin, M. Rodionov and V. Shelkovnikov, Journal of Optics A: Pure and Applied Optics 6 (10), 991 (2004). 2. K. Ren, X. Ren, R. Li, J. Zhou, D. Liu and R. Kay, Optics communications 241 (4), 357-364 (2004). 3. A. Dukin, N. Feoktistov, A. Medvedev, A. Pevtsov, V. Golubev and A. Sel’kin, Journal of Optics A: Pure and Applied Optics 8 (8), 625 (2006).