Optical constants

Refractive index of Si (Silicon)

Daub 1995: k 0.94–1.42 µm

Data
tabulated k
Range
0.941–1.421 µm
Points
71
Temperature
295 K
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: the source gives k only; n is not available.

At one wavelength

Range 0.941–1.421 µm
Refractive index n
—
Extinction coefficient k
3.91847e-06
Permittivity ε1
—
Permittivity ε2
—
Absorption coefficient α
0.424491 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71152e+07 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
— µm⁻¹
Group index ng
—
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
1.06883 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

This dataset has k only, so it cannot be used as a simulation material by itself. Pick a dataset with n from the list above.

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

Band-to-band absorption coefficient. Temperature: 295 K.

Conditions

temperature
295 K
Notes on the source data (kept exactly as published):
  • the source gives k only; n is not available

References

E. Daub. Photolumineszenz von Silizium Ph.D. dissertation, Dept. Phys., University of Karlsruhe, Karlsruhe, Germany, 1995 (as cited in C. Schinke, D. Hinken, J. Schmidt, K. Bothe, R. Brendel. Modeling the spectral luminescence emission of silicon solar cells and wafers. IEEE J. Photovolt. 3, 1038-1052 (2013))

Cite

Carsten Schinke, David Hinken, Jan Schmidt, Karsten Bothe and Rolf Brendel. Modeling the Spectral Luminescence Emission of Silicon Solar Cells and Wafers. IEEE Journal of Photovoltaics, 3, 1038-1052 (2013), doi:10.1109/jphotov.2013.2263985; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

71 rows as published
Si (Silicon), Daub 1995: k 0.94–1.42 µm: n and k versus wavelength
λ (µm)k
0.9410.0012805
0.9480.0009958
0.9550.00091196
0.9620.00080381
0.9690.00076417
0.9760.00073474
0.9830.00067586
0.990.00061371
0.9970.00054664
1.0040.00047618
1.0110.00041272
1.0180.00035401
1.0250.00029853
1.0320.00024884
1.0390.0002034
1.0460.00016398
1.0530.00013072
1.060.00010207
1.0678.1343e-05
1.0746.7091e-05
1.0815.5571e-05
1.0884.632e-05
1.0953.834e-05
1.1023.1482e-05
1.1092.6034e-05
1.1162.1403e-05
1.1231.7337e-05
1.131.3848e-05
1.1341.2002e-05
1.1371.0858e-05
1.1419.2614e-06
1.1487.0343e-06
1.1555.0919e-06
1.1623.4491e-06
1.1692.1489e-06
1.1761.0388e-06
1.1834.3493e-07
1.192.6515e-07
1.1971.8384e-07
1.2041.2935e-07
1.2119.049e-08
1.2186.4358e-08
1.2254.4744e-08
1.2323.0098e-08
1.2391.9029e-08
1.2461.0907e-08
1.2535.2547e-09
1.262.7273e-09
1.2671.7443e-09
1.2741.2166e-09
1.2818.6444e-10
1.2886.1497e-10
1.2954.3694e-10
1.3023.1083e-10
1.3092.1667e-10
1.3161.4766e-10
1.3239.4648e-11
1.335.9693e-11
1.3373.5749e-11
1.3442.385e-11
1.3511.7739e-11
1.3581.286e-11
1.3651.0276e-11
1.3727.0312e-12
1.3796.3099e-12
1.3865.0405e-12
1.3934.5338e-12
1.43.4982e-12
1.4072.5416e-12
1.4142.2955e-12
1.4211.6057e-12