Diffraction and absorption enhancement from textured back reflectors of thin film solar cells

We study light scattering and absorption in thin film solar cells, using a model system of a sinusoidally textured silver reflector and dielectric layers of ZnO and amorphous silicon. Experimental results are compared to a theoretical model based on a Rayleigh expansion. Taking into account the explicit interface profile, the expansion converges fast and can be truncated typically after three or four orders. At the same time, the use of realistic permittivity data correctly reproduces the intensity of diffracted orders as well as the coupling to guided modes and surface plasmon polariton resonances at the silver surface. The coupling phenomena behind the light trapping process can therefore be assessed in a simple, yet accurate manner.

[1]  Alexei A. Maradudin,et al.  Light scattering and nanoscale surface roughness , 2007 .

[2]  P. M. van den Berg,et al.  The Rayleigh hypothesis in the theory of reflection by a grating , 1979 .

[3]  H. Davies The reflection of electromagnetic waves from a rough surface , 1954 .

[4]  H. Stiebig,et al.  Thin-film solar cells with periodic grating coupler , 2004 .

[5]  D. A. Dunnett Classical Electrodynamics , 2020, Nature.

[6]  V A Kiselev,et al.  Diffraction coupling of radiation into a thin-film waveguide , 1975 .

[7]  H. Atwater,et al.  Improved red-response in thin film a-Si:H solar cells with soft-imprinted plasmonic back reflectors , 2009 .

[8]  M. Vaněček,et al.  Basic efficiency limits, recent experimental results and novel light-trapping schemes in a-Si:H, μc-Si:H and `micromorph tandem' solar cells , 2004 .

[9]  Yi Cui,et al.  High‐Efficiency Amorphous Silicon Solar Cell on a Periodic Nanocone Back Reflector , 2012 .

[10]  H. Herzig,et al.  Understanding of photocurrent enhancement in real thin film solar cells: towards optimal one-dimensional gratings. , 2011, Optics express.

[11]  A. Maldonado,et al.  Physical properties of ZnO:F obtained from a fresh and aged solution of zinc acetate and zinc acetylacetonate , 2006 .

[12]  C. Ballif,et al.  Development of micromorph tandem solar cells on flexible low cost plastic substrates , 2009 .

[13]  D. Carlson,et al.  AMORPHOUS SILICON SOLAR CELL , 1976 .

[14]  Christophe Ballif,et al.  Asymmetric intermediate reflector for tandem micromorph thin film silicon solar cells , 2009 .

[15]  S. Brueck,et al.  Characterization of thin Al films using grating coupling to surface plasma waves , 1992 .

[16]  Vivian E. Ferry Light Trapping in Plasmonic Solar Cells , 2011 .

[17]  Lord Rayleigh,et al.  On the Dynamical Theory of Gratings , 1907 .

[18]  R. Fox,et al.  Classical Electrodynamics, 3rd ed. , 1999 .

[19]  Daniel Maystre,et al.  A new general integral theory for dielectric coated gratings , 1978 .

[20]  S. Brueck,et al.  Grating coupling to surface plasma waves. i. first-order coupling , 1991 .

[21]  L. Duenkel,et al.  Topics in Current Physics , 1991 .

[22]  M. Meier,et al.  Plasmonic reflection grating back contacts for microcrystalline silicon solar cells , 2011 .

[23]  Evgeny Popov,et al.  Light Propagation in Periodic Media , 2002 .

[24]  R. W. Christy,et al.  Optical Constants of the Noble Metals , 1972 .

[25]  A. Purkrt,et al.  Nanostructured three-dimensional thin film silicon solar cells with very high efficiency potential , 2011 .

[26]  Gupta,et al.  Surface plasmons in two-sided corrugated thin films. , 1987, Physical review. B, Condensed matter.

[27]  Patrick L. Thompson,et al.  Diffracted radiance: a fundamental quantity in nonparaxial scalar diffraction theory. , 1999 .

[28]  M. Stutzmann,et al.  Periodic light coupler gratings in amorphous thin film solar cells , 2001 .

[29]  Eli Yablonovitch,et al.  Optically enhanced amorphous silicon solar cells , 1983 .

[30]  Andrey Krywonos,et al.  Nonparaxial scalar treatment of sinusoidal phase gratings. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[31]  Zongfu Yu,et al.  Nanodome solar cells with efficient light management and self-cleaning. , 2010, Nano letters.

[32]  P. Beckmann,et al.  The scattering of electromagnetic waves from rough surfaces , 1963 .

[33]  C. Ballif,et al.  Plasmonic absorption in textured silver back reflectors of thin film solar cells , 2008 .

[34]  M. Zeman,et al.  Optimal design of periodic surface texture for thin‐film a‐Si:H solar cells , 2010 .

[35]  S. Rice Reflection of electromagnetic waves from slightly rough surfaces , 1951 .

[36]  Huang,et al.  Optical and electrical properties of thin silver films grown under ion bombardment. , 1986, Physical review. B, Condensed matter.

[37]  D. Maystre,et al.  A New Electromagnetic Theory for Scattering from Shallow Rough Surfaces , 1983 .

[38]  Christophe Ballif,et al.  Highly reflective nanotextured sputtered silver back reflector for flexible high-efficiency n–i–p thin-film silicon solar cells , 2011 .

[39]  R. Morf,et al.  Submicrometer gratings for solar energy applications. , 1995, Applied optics.

[40]  Ping Sheng,et al.  Wavelength-selective absorption enhancement in thin-film solar cells , 1983 .

[41]  C. Battaglia,et al.  Modeling of light scattering from micro- and nanotextured surfaces , 2010 .

[42]  Carsten Rockstuhl,et al.  Light localization at randomly textured surfaces for solar-cell applications , 2007 .

[43]  D. Maystre,et al.  Sur la diffraction d'une onde plane par un reseau infiniment conducteur , 1971 .

[44]  C. Battaglia,et al.  Erratum: “Modeling of light scattering from micro- and nanotextured surfaces” [J. Appl. Phys. 107, 044504 (2010)] , 2010 .

[45]  M. Zeman,et al.  Angular resolved scattering by a nano-textured ZnO/silicon interface , 2011 .

[46]  M. Zeman,et al.  A scattering model for surface-textured thin films , 2009 .

[47]  Roger Petit,et al.  Electromagnetic theory of gratings , 1980 .

[48]  Helmut Stiebig,et al.  Thin-film silicon solar cells with efficient periodic light trapping texture , 2007 .

[49]  Yi Cui,et al.  Light trapping in solar cells: can periodic beat random? , 2012, ACS nano.

[50]  C. Ballif,et al.  Photocurrent Increase in Thin Film Solar Cells by Guided Mode Excitation , 2010 .

[51]  M. Biot On the Reflection of Electromagnetic Waves on a Rough Surface , 1958 .

[52]  S. Brueck,et al.  Grating coupling to surface plasma waves. II. Interactions between first- and second-order coupling , 1991 .

[53]  C. Ballif,et al.  Influence of the ZnO buffer on the guided mode structure in Si/ZnO/Ag multilayers , 2009 .