Modeling the Spectral Luminescence Emission of Silicon Solar Cells and Wafers

A generalized expression for the theoretical description of luminescence spectra of silicon solar cells and wafers is outlined. Models of the spectral luminescence emission, which can be found in the literature, are reviewed and compared with spectrally resolved photoluminescence measurements carried out on specially prepared samples. These models describe the spectrum of samples with either two planar or two rough (lambertian reflecting) surfaces. Good qualitative agreement is shown. Moreover, we introduce a new model which is valid for samples with any configuration of planar and textured surfaces and also takes free carrier absorption into account. The accuracy of the model is experimentally confirmed by a comparison to an electroluminescence spectrum of an industrial silicon solar cell.

[1]  M. Green.  Analytical expressions for spectral composition of band photoluminescence from silicon wafers and bricks , 2011 .

[2]  R. Brüggemann.  Kirchhoff's generalised law applied to amorphous silicon/crystalline silicon heterostructures , 2009 .

[3]  David Hinken,et al.  Determination of the effective diffusion length of silicon solar cells from photoluminescence , 2009 .

[4]  U. Rau,et al.  Note on the interpretation of electroluminescence images using their spectral information , 2008 .

[5]  Thomas Kirchartz,et al.  Detailed balance and reciprocity in solar cells , 2008 .

[6]  Martin A. Green,et al.  Self-consistent optical parameters of intrinsic silicon at 300 K including temperature coefficients , 2008 .

[7]  S. Glunz,et al.  Influence of photon reabsorption on temperature dependent quasi-steady-state photoluminescence lifetime measurements on crystalline silicon , 2008 .

[8]  Uwe Rau,et al.  Reciprocity relation between photovoltaic quantum efficiency and electroluminescent emission of solar cells , 2007 .

[9]  Wilhelm Warta,et al.  Diffusion lengths of silicon solar cells from luminescence images , 2007 .

[10]  P. Altermatt,et al.  Injection dependence of spontaneous radiative recombination in crystalline silicon : Experimental verification and theoretical analysis , 2006 .

[11]  Richard Corkish,et al.  Temperature dependence of the radiative recombination coefficient of intrinsic crystalline silicon , 2003 .

[12]  P. Würfel,et al.  Absorptivity of silicon solar cells obtained from luminescence , 1998 .

[13]  Jürgen H. Werner,et al.  Quantum efficiency analysis of thin-layer silicon solar cells with back surface fields and optical confinement , 1996 .

[14]  Daub,et al.  Ultralow values of the absorption coefficient of Si obtained from luminescence. , 1995, Physical review letters.

[15]  Paul A. Basore,et al.  Extended spectral analysis of internal quantum efficiency , 1993, Conference Record of the Twenty Third IEEE Photovoltaic Specialists Conference - 1993 (Cat. No.93CH3283-9).

[16]  P. Würfel,et al.  Verification of a generalized Planck law for luminescence radiation from silicon solar cells , 1992 .

[17]  A. Goodman,et al.  Evaluation of Silicon Optical Absorption Data for Use in Minority‐Carrier‐Diffusion‐Length Measurements by the SPV Method , 1985 .

[18]  C. Donolato.  A reciprocity theorem for charge collection , 1985 .

[19]  P. Würfel,et al.  The chemical potential of radiation , 1982 .

[20]  M. Green.  Solar Cells : Operating Principles, Technology and System Applications , 1981 .

[21]  H. A. Weakliem,et al.  Temperature dependence of the optical properties of silicon , 1979 .

[22]  W. Shockley,et al.  Photon-Radiative Recombination of Electrons and Holes in Germanium , 1954 .

[23]  D. Hinken.  Luminescence-based characterization of crystalline silicon solar cells , 2012 .

[24]  J. Mattheis.  Mobility and homogeneity effects on the power conversion efficiency of solar cells , 2008 .

[25]  Wilhelm Warta,et al.  PROGRESS WITH LUMINESCENCE IMAGING FOR THE CHARACTERISATION OF SILICON WAFERS AND SOLAR CELLS , 2007 .

[26]  S. Finkbeiner,et al.  Generalized Planck's radiation law for luminescence via indirect transitions , 1995 .

[27]  M. Green.  Silicon solar cells : advanced principles and practice , 1995 .

[28]  E. M..  Vorlesungen über die Theorie der Wärmestrahlung , 1924, Nature.

[29]  M. Planck.  Ueber das Gesetz der Energieverteilung im Normalspectrum , 1901 .