Absorption Coefficients of Crystalline Silicon at Wavelengths from 500 nm to 1000 nm

The absorption coefficient of single-crystal silicon is very important for applications in semiconductor processing and solar cells. However, large discrepancies exist in the literature about the absorption coefficient of silicon, especially in the visible and near-infrared region. Most existing review articles lack mutual comparison, and some are out of date. Due to the difficulties in accurate determination of the Si absorption coefficient in this region, additional measurements are deemed necessary. In the present study, room-temperature absorption coefficients of Si are obtained from transmittance measurements of ultrathin wafers down to $$10~\upmu \mathrm{m}$$ thickness, at wavelengths from 500 nm to 1000 nm, using an integrating sphere and a monochromator. Furthermore, a systematic survey of available references and detailed intercomparison of existing results are performed, resulting in a critical assessment of the previous and current measurements.

[1]  R. Newman,et al.  Intrinsic Optical Absorption in Single-Crystal Germanium and Silicon at 77°K and 300°K , 1955 .

[2]  G. Macfarlane,et al.  FINE STRUCTURE IN THE ABSORPTION-EDGE SPECTRUM OF SI , 1957 .

[3]  H. Ehrenreich,et al.  Optical Properties of Semiconductors , 1963 .

[4]  H. Philipp Influence of Oxide Layers on the Determination of the Optical Properties of Silicon , 1972 .

[5]  R. Hulthén Optical Constants of Epitaxial Silicon in the Region 1–3.3 eV , 1975 .

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

[7]  A. A. Studna,et al.  Dielectric functions and optical parameters of Si, Ge, GaP, GaAs, GaSb, InP, InAs, and InSb from 1.5 to 6.0 eV , 1983 .

[8]  H. Mckell,et al.  Absorption coefficient of Si in the wavelength region between 0.80–1.16 μm , 1987 .

[9]  H. Baltes,et al.  Analytic representation of the silicon absorption coefficient in the indirect transition region. , 1988, Applied optics.

[10]  J. Chelikowsky,et al.  Electronic Structure and Optical Properties of Semiconductors , 1989 .

[11]  A. R. Schaefer,et al.  An Accurate Value for the Absorption Coefficient of Silicon at 633 nm , 1990, Journal of research of the National Institute of Standards and Technology.

[12]  Gerald Earle Jellison,et al.  Optical functions of silicon determined by two-channel polarization modulation ellipsometry , 1992 .

[13]  P. Timans Emissivity of silicon at elevated temperatures , 1993 .

[14]  C. Tien Annual Review of Heat Transfer , 1993 .

[15]  Barry N. Taylor,et al.  Guidelines for Evaluating and Expressing the Uncertainty of Nist Measurement Results , 2017 .

[16]  Gerald Earle Jellison,et al.  Optical functions of silicon at elevated temperatures , 1994 .

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

[18]  M. Green,et al.  Absorption edge of silicon from solar cell spectral response measurements , 1995 .

[19]  Fred Rooseboom,et al.  Advances in rapid thermal and integrated processing , 1996 .

[20]  J. M. Houston,et al.  Realization of a scale of absolute spectral response using the National Institute of Standards and Technology high-accuracy cryogenic radiometer. , 1996, Applied optics.

[21]  P. Timans The Thermal Radiative Properties of Semiconductors , 1996 .

[22]  E. Palik Handbook of Optical Constants of Solids , 1997 .

[23]  Craig M. Herzinger,et al.  Ellipsometric determination of optical constants for silicon and thermally grown silicon dioxide via a multi-sample, multi-wavelength, multi-angle investigation , 1998 .

[24]  Bong Jae Lee,et al.  Partially Coherent Spectral Transmittance of Dielectric Thin Films with Rough Surfaces , 2005 .

[25]  Benjamin K. Tsai,et al.  Modeling Radiative Properties of Silicon with Coatings and Comparison with Reflectance Measurements , 2005 .

[26]  M. Green Third generation photovoltaics : advanced solar energy conversion , 2006 .

[27]  H. J. Lee,et al.  Measurement and Modeling of the Emittance of Silicon Wafers with Anisotropic Roughness , 2007 .

[28]  Zhuomin M. Zhang Nano/Microscale Heat Transfer , 2007 .

[29]  Yu-Bin Chen,et al.  Radiative Properties of Patterned Wafers With Nanoscale Linewidth , 2007 .

[30]  Gang Chen,et al.  Analysis of optical absorption in silicon nanowire arrays for photovoltaic applications. , 2007, Nano letters.

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

[32]  W. J. Ready,et al.  Visible and near-infrared radiative properties of vertically aligned multi-walled carbon nanotubes , 2009, Nanotechnology.

[33]  Peidong Yang,et al.  Light trapping in silicon nanowire solar cells. , 2010, Nano letters.

[34]  H. Atwater,et al.  Plasmonics for improved photovoltaic devices. , 2010, Nature materials.

[35]  Zhuomin M. Zhang,et al.  Anisotropic optical properties of silicon nanowire arrays based on the effective medium approximation , 2013 .