Ray tracing for the optics at nano‐textured ZnO–air and ZnO–silicon interfaces

We investigate the scattering behavior of nano-textured ZnO–Air and ZnO–Silicon interfaces for the application in thin film silicon solar cells. Contrary to the common approach, the numerical solution of the Maxwell's equations, we introduce a ray tracing approach based on geometric optics and the measured interface topography. The validity of this model is discussed by means of scanning near-field optical microscopy (SNOM) measurements and numerical solutions of the Maxwell's equations. We show, that the ray tracing model can qualitatively describe the formation of micro lenses, which are the dominant feature of the local scattering properties of the investigated interfaces. A quantitative analysis for the ZnO–Silicon interface at λ = 488 and 780 nm shows that the ray tracing model corresponds well to the numerical solution of the Maxwell's equations, especially within the first 1.5 µm distance from the interface. Direct correlations between the locally scattered intensity and the interface topographies are found. Copyright © 2011 John Wiley & Sons, Ltd.

[1]  Christophe Ballif,et al.  Opto-electronic properties of rough LP-CVD ZnO:B for use as TCO in thin-film silicon solar cells , 2007 .

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

[3]  F. Lederer,et al.  Engineering the randomness for enhanced absorption in solar cells , 2008 .

[4]  Carsten Rockstuhl,et al.  Nanoscale investigation of light‐trapping in a‐Si:H solar cell structures with randomly textured interfaces , 2008 .

[5]  G. Behme,et al.  Vacuum near-field scanning optical microscope for variable cryogenic temperatures , 1997 .

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

[7]  F. Leblanc,et al.  Numerical modeling of the optical properties of hydrogenated amorphous‐silicon‐based p‐i‐n solar cells deposited on rough transparent conducting oxide substrates , 1994 .

[8]  Raj Mittra,et al.  A New Direction in Computational Electromagnetics: Solving Large Problems Using the Parallel FDTD on the BlueGene/L Supercomputer Providing Teraflop-Level Performance , 2008, IEEE Antennas and Propagation Magazine.

[9]  J. W. Metselaar,et al.  Computer modelling of current matching in a-Si : H/a-Si : H tandem solar cells on textured TCO substrates , 1997 .

[10]  H. Schade,et al.  Mie scattering and rough surfaces. , 1985, Applied optics.

[11]  Daniel Maystre,et al.  Multicoated gratings: a differential formalism applicable in the entire optical region , 1982 .

[12]  G. Tao,et al.  Accurate generation rate profiles in a-Si :H solar cells with textured TCO substrates , 1994 .

[13]  Eric Betzig,et al.  Collection mode near‐field scanning optical microscopy , 1987 .

[14]  D. Mo,et al.  Composition, structure and optical properties of SiC buried layer formed by high dose carbon implantation into Si using metal vapor vacuum arc ion source , 2003 .

[15]  K. Bittkau,et al.  Guided optical modes in randomly textured ZnO thin films imaged by near-field scanning optical microscopy , 2007 .

[16]  R. Brendel Coupling of light into mechanically textured silicon solar cells: A ray tracing study , 1995 .

[17]  M. Zeman,et al.  Effect of surface roughness of ZnO:Al films on light scattering in hydrogenated amorphous silicon solar cells , 2003 .

[18]  Marko Topič,et al.  Analysis of light scattering in amorphous Si:H solar cells by a one‐dimensional semi‐coherent optical model , 2003 .

[19]  F. Lederer,et al.  Local versus global absorption in thin-film solar cells with randomly textured surfaces , 2008 .

[20]  Milan Vanecek,et al.  Amorphous silicon solar cells made with SnO2:F TCO films deposited by atmospheric pressure CVD , 2009 .