Optical constants

Refractive index of Si-Ge (Silicon-germanium, SiGe)

Jellison et al. 1993: 47% Si, Si substrate; n,k 0.24–0.84 µm

Data
tabulated nk
Range
0.24–0.84 µm
Points
103
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.24–0.84 µm
Refractive index n
4.45132
Extinction coefficient k
0.0974
Permittivity ε1
19.8048
Permittivity ε2
0.867117
Absorption coefficient α
20829.9 cm⁻¹
Penetration depth δ = λ/(2πk)
960.159 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-4.3 µm⁻¹
Group index ng
6.978
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.

Use it in Lightsmith

Load this data in Python, simulate in one more line

pip install lightsmith
import lightsmith as ls

# Si-Ge (Silicon-germanium, SiGe): Jellison et al. 1993: 47% Si, Si substrate; n,k 0.24–0.84 µm
si_ge = ls.fetch_refractiveindex("other", "Si-Ge", "Jellison-47", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(si_ge.range_nm)  # (240, 840) nm
eps = si_ge.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.

Comments and conditions

SixGe1-x, x = 0.47. 7-μm film grown on Si substrate.

Conditions

x
0.47
thickness
7 μm
substrate
Si

References

G. E. Jellison Jr., T. E. Haynes, H. H. Burke. Optical functions of silicon-germanium alloys determined using spectroscopic ellipsometry. Opt. Mat. 2, 105-117 (1993)

Cite

G.E. Jellison, T.E. Haynes and H.H. Burke. Optical functions of silicon-germanium alloys determined using spectroscopic ellipsometry. Optical Materials, 2, 105-117 (1993), doi:10.1016/0925-3467(93)90035-y; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

103 rows as published
Si-Ge (Silicon-germanium, SiGe), Jellison et al. 1993: 47% Si, Si substrate; n,k 0.24–0.84 µm: n and k versus wavelength
λ (µm)nk
0.241.6383.233
0.2421.6373.251
0.2441.643.26
0.2461.6583.348
0.2481.6763.405
0.251.6873.457
0.2521.7173.51
0.2541.7683.585
0.2561.7833.646
0.2581.8263.719
0.261.873.781
0.2621.9053.865
0.2641.9543.943
0.2662.0194.021
0.2682.0884.111
0.272.1554.198
0.2722.2484.298
0.2742.3564.391
0.2762.4784.481
0.2782.6084.57
0.282.7824.657
0.2822.9754.73
0.2843.1874.755
0.2863.4264.751
0.2883.6734.689
0.293.884.585
0.2924.0444.453
0.2944.1714.31
0.2964.284.159
0.2984.3334.021
0.34.3843.897
0.3044.4483.67
0.3084.4653.503
0.3124.4773.364
0.3164.493.251
0.324.5033.154
0.3244.5223.069
0.3284.5352.996
0.3324.5512.93
0.3364.572.875
0.344.5822.83
0.3444.6062.782
0.3484.6232.744
0.3524.6532.705
0.3564.6862.669
0.364.7172.638
0.3644.7552.609
0.3684.82.574
0.3724.8472.532
0.3764.8962.484
0.384.9392.441
0.3844.9842.388
0.3885.0222.336
0.3925.0562.283
0.3965.0882.234
0.45.1232.195
0.4045.1612.16
0.4085.2092.124
0.4125.2662.085
0.4165.3292.039
0.425.41.982
0.435.571.773
0.445.6891.497
0.455.7071.168
0.465.620.87
0.475.4710.648
0.485.3140.498
0.495.1710.397
0.55.0510.322
0.514.9510.266
0.524.8560.227
0.534.7770.197
0.544.7020.173
0.554.6430.153
0.564.5850.137
0.574.5360.122
0.584.4840.105
0.594.4410.095
0.64.4010.084
0.614.3610.079
0.624.3290.072
0.634.2890.067
0.644.2630.065
0.654.2430.062
0.664.2170.056
0.674.1970.047
0.684.170.046
0.694.1440.044
0.74.1280.044
0.714.1130.041
0.724.0930.04
0.734.0810.038
0.744.0640.034
0.754.050.032
0.764.0380.029
0.774.0290.027
0.784.0110.025
0.794.0020.022
0.83.9910.019
0.813.9740.024
0.823.970.023
0.833.9450.017
0.843.9350.03

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—