Optical constants
Refractive index of GaAs (Gallium arsenide)
Jellison 1992: n,k 0.234–0.840 µm
- Data
- tabulated nk
- Range
- 0.234–0.84 µm
- Points
- 187
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.93976
- Extinction coefficient k
- 0.2244
- Permittivity ε1
- 15.4714
- Permittivity ε2
- 1.76816
- Absorption coefficient α
- 47990 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 416.753 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.4 µm⁻¹
- Group index ng
- 5.35
- 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
# GaAs (Gallium arsenide): Jellison 1992: n,k 0.234–0.840 µm
gaas = ls.fetch_refractiveindex("main", "GaAs", "Jellison", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gaas.range_nm) # (234, 840) nm
eps = gaas.eps([633]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_3fd70f1e7d92/lightsmith"
gaas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gaas.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gaas/jellison-1992).
# ... load gaas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gaas)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=840, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
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
References
- doi:10.1016/0925-3467(92)90022-f Optical functions of GaAs, GaP, and Ge determined by two-channel polarization modulation ellipsometry, Optical Materials (1992)
Cite
G.E. Jellison. Optical functions of GaAs, GaP, and Ge determined by two-channel polarization modulation ellipsometry. Optical Materials, 1, 151-160 (1992), doi:10.1016/0925-3467(92)90022-f; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
187 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.234 | 1.696 | 3.448 |
| 0.236 | 1.664 | 3.536 |
| 0.238 | 1.722 | 3.655 |
| 0.24 | 1.79 | 3.763 |
| 0.242 | 1.912 | 3.916 |
| 0.244 | 2.063 | 4.052 |
| 0.246 | 2.263 | 4.163 |
| 0.248 | 2.498 | 4.24 |
| 0.25 | 2.776 | 4.269 |
| 0.252 | 3.03 | 4.225 |
| 0.254 | 3.255 | 4.12 |
| 0.256 | 3.444 | 3.989 |
| 0.258 | 3.599 | 3.851 |
| 0.26 | 3.73 | 3.717 |
| 0.262 | 3.799 | 3.575 |
| 0.264 | 3.868 | 3.451 |
| 0.266 | 3.929 | 3.337 |
| 0.268 | 3.979 | 3.224 |
| 0.27 | 4.014 | 3.12 |
| 0.272 | 4.055 | 3.024 |
| 0.274 | 4.097 | 2.928 |
| 0.276 | 4.13 | 2.831 |
| 0.278 | 4.174 | 2.701 |
| 0.28 | 4.178 | 2.583 |
| 0.282 | 4.164 | 2.464 |
| 0.284 | 4.134 | 2.361 |
| 0.286 | 4.096 | 2.274 |
| 0.288 | 4.056 | 2.198 |
| 0.29 | 4.023 | 2.133 |
| 0.292 | 3.979 | 2.078 |
| 0.294 | 3.931 | 2.038 |
| 0.296 | 3.893 | 2.001 |
| 0.298 | 3.851 | 1.972 |
| 0.3 | 3.817 | 1.946 |
| 0.302 | 3.784 | 1.928 |
| 0.304 | 3.749 | 1.913 |
| 0.306 | 3.721 | 1.903 |
| 0.308 | 3.695 | 1.893 |
| 0.31 | 3.675 | 1.887 |
| 0.312 | 3.656 | 1.88 |
| 0.314 | 3.642 | 1.874 |
| 0.316 | 3.623 | 1.877 |
| 0.318 | 3.614 | 1.871 |
| 0.32 | 3.598 | 1.874 |
| 0.322 | 3.591 | 1.875 |
| 0.324 | 3.584 | 1.877 |
| 0.326 | 3.573 | 1.881 |
| 0.328 | 3.569 | 1.886 |
| 0.33 | 3.564 | 1.89 |
| 0.332 | 3.564 | 1.893 |
| 0.334 | 3.566 | 1.897 |
| 0.336 | 3.562 | 1.905 |
| 0.338 | 3.565 | 1.909 |
| 0.34 | 3.566 | 1.919 |
| 0.342 | 3.57 | 1.924 |
| 0.344 | 3.575 | 1.933 |
| 0.346 | 3.577 | 1.944 |
| 0.348 | 3.584 | 1.954 |
| 0.35 | 3.592 | 1.961 |
| 0.352 | 3.599 | 1.974 |
| 0.354 | 3.608 | 1.985 |
| 0.356 | 3.617 | 1.995 |
| 0.358 | 3.63 | 2.007 |
| 0.36 | 3.642 | 2.019 |
| 0.362 | 3.658 | 2.03 |
| 0.364 | 3.672 | 2.045 |
| 0.366 | 3.691 | 2.056 |
| 0.368 | 3.709 | 2.071 |
| 0.37 | 3.727 | 2.087 |
| 0.372 | 3.747 | 2.103 |
| 0.374 | 3.776 | 2.116 |
| 0.376 | 3.796 | 2.134 |
| 0.378 | 3.823 | 2.154 |
| 0.38 | 3.856 | 2.176 |
| 0.382 | 3.896 | 2.198 |
| 0.384 | 3.936 | 2.223 |
| 0.386 | 3.988 | 2.242 |
| 0.388 | 4.05 | 2.253 |
| 0.39 | 4.124 | 2.262 |
| 0.392 | 4.208 | 2.254 |
| 0.394 | 4.287 | 2.231 |
| 0.396 | 4.36 | 2.186 |
| 0.398 | 4.417 | 2.136 |
| 0.4 | 4.459 | 2.081 |
| 0.402 | 4.488 | 2.03 |
| 0.404 | 4.509 | 1.989 |
| 0.406 | 4.527 | 1.951 |
| 0.408 | 4.542 | 1.923 |
| 0.41 | 4.556 | 1.902 |
| 0.412 | 4.577 | 1.886 |
| 0.414 | 4.602 | 1.879 |
| 0.416 | 4.633 | 1.882 |
| 0.418 | 4.685 | 1.887 |
| 0.42 | 4.755 | 1.887 |
| 0.422 | 4.849 | 1.868 |
| 0.424 | 4.949 | 1.815 |
| 0.426 | 5.08 | 1.675 |
| 0.428 | 5.126 | 1.562 |
| 0.43 | 5.152 | 1.438 |
| 0.432 | 5.152 | 1.323 |
| 0.434 | 5.135 | 1.225 |
| 0.436 | 5.11 | 1.135 |
| 0.438 | 5.073 | 1.056 |
| 0.44 | 5.041 | 0.99 |
| 0.442 | 5.002 | 0.928 |
| 0.444 | 4.962 | 0.877 |
| 0.446 | 4.924 | 0.829 |
| 0.448 | 4.884 | 0.788 |
| 0.45 | 4.858 | 0.755 |
| 0.455 | 4.778 | 0.678 |
| 0.46 | 4.702 | 0.617 |
| 0.465 | 4.634 | 0.566 |
| 0.47 | 4.575 | 0.527 |
| 0.475 | 4.518 | 0.492 |
| 0.48 | 4.467 | 0.463 |
| 0.485 | 4.42 | 0.436 |
| 0.49 | 4.376 | 0.414 |
| 0.495 | 4.341 | 0.394 |
| 0.5 | 4.307 | 0.376 |
| 0.505 | 4.272 | 0.36 |
| 0.51 | 4.242 | 0.346 |
| 0.515 | 4.212 | 0.334 |
| 0.52 | 4.186 | 0.322 |
| 0.525 | 4.162 | 0.311 |
| 0.53 | 4.141 | 0.301 |
| 0.535 | 4.116 | 0.291 |
| 0.54 | 4.096 | 0.282 |
| 0.545 | 4.076 | 0.275 |
| 0.55 | 4.058 | 0.268 |
| 0.555 | 4.04 | 0.261 |
| 0.56 | 4.024 | 0.255 |
| 0.565 | 4.009 | 0.248 |
| 0.57 | 3.993 | 0.243 |
| 0.575 | 3.977 | 0.237 |
| 0.58 | 3.96 | 0.232 |
| 0.585 | 3.946 | 0.227 |
| 0.59 | 3.934 | 0.222 |
| 0.595 | 3.923 | 0.218 |
| 0.6 | 3.912 | 0.214 |
| 0.605 | 3.9 | 0.21 |
| 0.61 | 3.891 | 0.206 |
| 0.615 | 3.881 | 0.203 |
| 0.62 | 3.874 | 0.199 |
| 0.625 | 3.865 | 0.195 |
| 0.63 | 3.851 | 0.191 |
| 0.635 | 3.844 | 0.188 |
| 0.64 | 3.839 | 0.185 |
| 0.645 | 3.831 | 0.182 |
| 0.65 | 3.825 | 0.178 |
| 0.655 | 3.815 | 0.175 |
| 0.66 | 3.809 | 0.171 |
| 0.665 | 3.804 | 0.168 |
| 0.67 | 3.798 | 0.164 |
| 0.675 | 3.793 | 0.162 |
| 0.68 | 3.787 | 0.159 |
| 0.685 | 3.784 | 0.154 |
| 0.69 | 3.779 | 0.151 |
| 0.695 | 3.776 | 0.148 |
| 0.7 | 3.77 | 0.141 |
| 0.705 | 3.766 | 0.135 |
| 0.71 | 3.758 | 0.131 |
| 0.715 | 3.749 | 0.126 |
| 0.72 | 3.744 | 0.123 |
| 0.725 | 3.739 | 0.12 |
| 0.73 | 3.734 | 0.116 |
| 0.735 | 3.728 | 0.114 |
| 0.74 | 3.721 | 0.111 |
| 0.745 | 3.716 | 0.108 |
| 0.75 | 3.712 | 0.108 |
| 0.755 | 3.709 | 0.105 |
| 0.76 | 3.703 | 0.105 |
| 0.765 | 3.698 | 0.101 |
| 0.77 | 3.692 | 0.101 |
| 0.775 | 3.689 | 0.097 |
| 0.78 | 3.685 | 0.095 |
| 0.785 | 3.684 | 0.094 |
| 0.79 | 3.68 | 0.092 |
| 0.795 | 3.679 | 0.089 |
| 0.8 | 3.679 | 0.089 |
| 0.805 | 3.672 | 0.086 |
| 0.81 | 3.669 | 0.082 |
| 0.815 | 3.669 | 0.084 |
| 0.82 | 3.662 | 0.081 |
| 0.825 | 3.661 | 0.077 |
| 0.83 | 3.661 | 0.075 |
| 0.835 | 3.663 | 0.07 |
| 0.84 | 3.645 | 0.074 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Crysal orientation: <100>; Room temperature