QUANTUM CALCULATIONS OF THE CHANGE OF REFRACTIVE-INDEX DUE TO FREE-CARRIERS IN SILICON WITH NONPARABOLIC BAND-STRUCTURE

被引:25
作者
HUANG, HC
YEE, S
SOMA, M
机构
[1] Department of Electrical Engineering, University of Washington, Seattle
关键词
D O I
10.1063/1.345586
中图分类号
O59 [应用物理学];
学科分类号
摘要
A quantum-mechanical approach used to calculate the change of refractive index, Δn, due to free carriers in various doped silicon is presented. This approach uses a numerical Kramers-Kronig relation to analyze a calculated carrier-related absorption spectrum below or near the energy-band gap. The absorption spectrum is obtained by considering the optical transitions between energy bands and impurity bands, and the free-carrier absorption due to acoustic phonons, optical phonons, and ionized impurities in a spherical nonparabolic band model. Values of Δn at wavelength λ=1.3 and 1.6 μm for different doping levels are obtained. The results are applicable to both the integrated-optics applications and optical-probing applications in silicon.
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页码:2033 / 2039
页数:7
相关论文
共 28 条
[1]   INFRARED ABSORPTION IN HEAVILY DOPED N-TYPE SI [J].
BALKANSKI, M ;
AZIZA, A ;
AMZALLAG, E .
PHYSICA STATUS SOLIDI, 1969, 31 (01) :323-+
[2]   INFRARED FREE-CARRIER ABSORPTION IN N-TYPE SILICON [J].
BASU, PK ;
NAG, BR .
PHYSICA STATUS SOLIDI B-BASIC RESEARCH, 1972, 53 (01) :K61-&
[3]   HIGH-FIELD TRANSPORT IN N-TYPE GAAS [J].
CONWELL, EM ;
VASSELL, MO .
PHYSICAL REVIEW, 1968, 166 (03) :797-+
[4]   2-PHONON INDIRECT TRANSITIONS AND LATTICE SCATTERING IN SI [J].
DUMKE, WP .
PHYSICAL REVIEW, 1960, 118 (04) :938-939
[5]   BAND STRUCTURE AND ELECTRON TRANSPORT OF GAAS [J].
EHRENREICH, H .
PHYSICAL REVIEW, 1960, 120 (06) :1951-1963
[6]  
Fan H.Y., 1967, SEMICONDUCTORS SEMIM, V3, P405
[7]   INFRARED ABSORPTION IN N-TYPE GERMANIUM [J].
FAN, HY ;
SPITZER, W ;
COLLINS, RJ .
PHYSICAL REVIEW, 1956, 101 (02) :566-572
[8]   SHAPES OF 2-PHONON RECOMBINATION PEAKS IN SILICON [J].
FOLLAND, NO .
PHYSICAL REVIEW B, 1970, 1 (04) :1648-&
[9]   MEASUREMENT OF REAL-TIME DIGITAL SIGNALS IN A SILICON BIPOLAR JUNCTION TRANSISTOR USING A NONINVASIVE OPTICAL PROBE [J].
HEINRICH, HK ;
HEMENWAY, BR ;
MCGRODDY, KA ;
BLOOM, DM .
ELECTRONICS LETTERS, 1986, 22 (12) :650-652
[10]   NONINVASIVE SHEET CHARGE-DENSITY PROBE FOR INTEGRATED SILICON DEVICES [J].
HEINRICH, HK ;
BLOOM, DM ;
HEMENWAY, BR .
APPLIED PHYSICS LETTERS, 1986, 48 (16) :1066-1068