Infrared Radiative Properties of Heavily Doped Silicon at Room Temperature

This paper describes an experimental investigation on the infrared radiative properties of heavily doped Si at room temperature. Lightly doped Si wafers were ion-implanted with either boron or phosphorus atoms, with dosages corresponding to as-implanted peak doping concentrations of 10 20 and 10 21 cm -3 ; the peak doping concentrations after annealing are 3.1 × 10 19 and 2.8 × 10 20 cm -3 , respectively. Rapid thermal annealing was performed to activate the implanted dopants. A Fourier-transform infrared spectrometer was employed to measure the transmittance and reflectance of the samples in the wavelength range from 2 μm to 20 μm. Accurate carrier mobility and ionization models were identified after carefully reviewing the available literature, and then incorporated into the Drude model to predict the dielectric function of doped Si. The radiative properties of doped Si samples were calculated by treating the doped region as multilayer thin films of different doping concentrations on a thick lightly doped Si substrate. The measured spectral transmittance and reflectance agree well with the model predictions. The knowledge gained from this study will aid future design and fabrication of doped Si microstructures as wavelength selective emitters and absorbers in the midinfrared region.

[1]  Zhuomin M. Zhang,et al.  Low temperature characterization of heated microcantilevers , 2007 .

[2]  Leo Esaki,et al.  A new device using the tunneling process in narrow p-n junctions , 1960 .

[3]  D. M. Riffe Temperature dependence of silicon carrier effective masses with application to femtosecond reflectivity measurements , 2002 .

[4]  P. Griffin,et al.  A comparative study of dopant activation in boron, BF/sub 2/, arsenic, and phosphorus implanted silicon , 2002 .

[5]  T. C. Mcgill,et al.  Variation of impurity−to−band activation energies with impurity density , 1975 .

[6]  Ceji Fu,et al.  Nanoscale radiation heat transfer for silicon at different doping levels , 2006 .

[7]  G. Baccarani,et al.  Electron mobility empirically related to the phosphorus concentration in silicon , 1975 .

[8]  Sigurd Wagner,et al.  Diffusion of Boron from Shallow Ion Implants in Silicon , 1972 .

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

[10]  H. Engstrom Infrared reflectivity and transmissivity of boron‐implanted, laser‐annealed silicon , 1980 .

[11]  M. Fujii,et al.  Photoluminescence from impurity codoped and compensated Si nanocrystals , 2005 .

[12]  Richard A. Soref,et al.  Silicon-based optoelectronics , 1993, Proc. IEEE.

[13]  N. Natsuaki,et al.  Change of the electron effective mass in extremely heavily doped n-type Si obtained by ion implantation and laser annealing , 1981 .

[14]  H. Drew,et al.  An apparatus for infrared transmittance and reflectance measurements at cryogenic temperatures , 1996 .

[15]  R. Carminati,et al.  Anisotropic Polarized Emission of a Doped Silicon Lamellar Grating , 2007 .

[16]  J. F. Gilbert,et al.  Determination of Free Electron Effective Mass of n‐Type Silicon , 1963 .

[17]  A. E. Michel,et al.  Rapid annealing and the anomalous diffusion of ion implanted boron into silicon , 1987 .

[18]  E. Barta,et al.  Calculated and measured infrared reflectivity of diffused/implanted p-type silicon layers , 1983 .

[19]  J. David Zook,et al.  Electrical Properties of Heavily Doped Silicon , 1963 .

[20]  W. Kuzmicz Ionization of impurities in silicon , 1986 .

[21]  Jean-Jacques Greffet,et al.  Engineering infrared emission properties of silicon in the near field and the far field , 2004 .

[22]  Zemel,et al.  Polarized spectral emittance from periodic micromachined surfaces. II. Doped silicon: Angular variation. , 1988, Physical review. B, Condensed matter.

[23]  G. Masetti,et al.  Modeling of carrier mobility against carrier concentration in arsenic-, phosphorus-, and boron-doped silicon , 1983, IEEE Transactions on Electron Devices.

[24]  P. Ostoja,et al.  Relationship between resistivity and phosphorus concentration in silicon , 1974 .

[25]  R. L. Mattis,et al.  Resistivity‐Dopant Density Relationship for Phosphorus‐Doped Silicon , 1980 .

[26]  J. C. Irvin,et al.  Resistivity, mobility and impurity levels in GaAs, Ge, and Si at 300°K , 1968 .

[27]  Optical properties of degenerately doped silicon films for applications in thermophotovoltaic systems , 1997 .

[28]  Gary S. May,et al.  Fundamentals of Semiconductor Fabrication , 2003 .

[29]  G. L. Pearson,et al.  Electrical Properties of Pure Silicon and Silicon Alloys Containing Boron and Phosphorus , 1949 .

[30]  D. Nobili,et al.  Electrical Properties and Stability of Supersaturated Phosphorus‐Doped Silicon Layers , 1981 .

[31]  R. L. Mattis,et al.  Resistivity‐Dopant Density Relationship for Boron‐Doped Silicon , 1980 .

[32]  Robert W. Dutton,et al.  Boron in Near‐Intrinsic and Silicon under Inert and Oxidizing Ambients—Diffusion and Segregation , 1978 .

[33]  W. E. Beadle,et al.  Quick reference manual for silicon integrated circuit technology , 1985 .

[34]  R. E. Thomas,et al.  Carrier mobilities in silicon empirically related to doping and field , 1967 .

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

[36]  J. Rowell,et al.  Conductance Anomalies in Semiconductor Tunnel Diodes , 1964 .

[37]  W. Spitzer,et al.  Determination of Optical Constants and Carrier Effective Mass of Semiconductors , 1957 .

[38]  M. Fujii,et al.  Control of photoluminescence properties of Si nanocrystals by simultaneously doping n- and p-type impurities , 2004 .

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

[40]  F. J. Morin,et al.  Electrical Properties of Silicon Containing Arsenic and Boron , 1954 .