Optical constants
Refractive index of GaAs (Gallium arsenide)
Adachi 1989: n,k 0.207–12.4 µm
- Data
- tabulated nk
- Range
- 0.2066–12.4 µm
- Points
- 200
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.78511
- Extinction coefficient k
- 0.250853
- Permittivity ε1
- 14.2642
- Permittivity ε2
- 1.89901
- Absorption coefficient α
- 53647.2 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 372.806 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.88475 µm⁻¹
- Group index ng
- 4.8926
- 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): Adachi 1989: n,k 0.207–12.4 µm
gaas = ls.fetch_refractiveindex("main", "GaAs", "Adachi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gaas.range_nm) # (206.64, 12398) 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_2572dd1c1a5d/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/adachi-1989).
# ... 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=1000, 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.
References
[Calculation script (Python)]
- doi:10.1063/1.343580 Optical dispersion relations for GaP, GaAs, GaSb, InP, InAs, InSb, Al <i>x</i> Ga1− <i>x</i> As, and In1− <i>x</i> Ga <i>x</i> As <i>y</i> P1− <i>y</i>, Journal of Applied Physics (1989)
Cite
Sadao Adachi. Optical dispersion relations for GaP, GaAs, GaSb, InP, InAs, InSb, Al <i>x</i> Ga1− <i>x</i> As, and In1− <i>x</i> Ga <i>x</i> As <i>y</i> P1− <i>y</i>. Journal of Applied Physics, 66, 6030-6040 (1989), doi:10.1063/1.343580; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
200 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.20664 | 1.3106 | 2.2934 |
| 0.20767 | 1.3191 | 2.3145 |
| 0.2087 | 1.3278 | 2.3361 |
| 0.20975 | 1.3369 | 2.3583 |
| 0.21081 | 1.3464 | 2.3811 |
| 0.21188 | 1.3563 | 2.4047 |
| 0.21295 | 1.3666 | 2.4289 |
| 0.21404 | 1.3774 | 2.4539 |
| 0.21515 | 1.3886 | 2.4797 |
| 0.21626 | 1.4005 | 2.5064 |
| 0.21738 | 1.4129 | 2.5339 |
| 0.21852 | 1.4261 | 2.5623 |
| 0.21967 | 1.44 | 2.5918 |
| 0.22083 | 1.4547 | 2.6222 |
| 0.222 | 1.4704 | 2.6537 |
| 0.22318 | 1.4871 | 2.6864 |
| 0.22438 | 1.5049 | 2.7203 |
| 0.22559 | 1.524 | 2.7554 |
| 0.22681 | 1.5446 | 2.7918 |
| 0.22805 | 1.5667 | 2.8296 |
| 0.2293 | 1.5906 | 2.8687 |
| 0.23057 | 1.6165 | 2.9094 |
| 0.23184 | 1.6447 | 2.9515 |
| 0.23314 | 1.6754 | 2.9951 |
| 0.23444 | 1.709 | 3.0401 |
| 0.23577 | 1.7458 | 3.0867 |
| 0.2371 | 1.7863 | 3.1346 |
| 0.23845 | 1.8308 | 3.1838 |
| 0.23982 | 1.8799 | 3.2341 |
| 0.2412 | 1.9343 | 3.2852 |
| 0.2426 | 1.9944 | 3.3368 |
| 0.24402 | 2.061 | 3.3882 |
| 0.24545 | 2.1348 | 3.4389 |
| 0.2469 | 2.2163 | 3.4879 |
| 0.24837 | 2.3063 | 3.534 |
| 0.24985 | 2.4052 | 3.5757 |
| 0.25135 | 2.5132 | 3.6114 |
| 0.25287 | 2.6304 | 3.6389 |
| 0.25441 | 2.7559 | 3.656 |
| 0.25597 | 2.8887 | 3.6603 |
| 0.25755 | 3.0267 | 3.6493 |
| 0.25914 | 3.1671 | 3.6213 |
| 0.26076 | 3.3062 | 3.5749 |
| 0.26239 | 3.4399 | 3.5101 |
| 0.26405 | 3.564 | 3.4278 |
| 0.26573 | 3.6747 | 3.3306 |
| 0.26743 | 3.7691 | 3.2218 |
| 0.26915 | 3.8454 | 3.1056 |
| 0.27089 | 3.9032 | 2.9862 |
| 0.27266 | 3.9433 | 2.8675 |
| 0.27445 | 3.9673 | 2.753 |
| 0.27626 | 3.9775 | 2.6449 |
| 0.2781 | 3.9762 | 2.545 |
| 0.27996 | 3.9661 | 2.4543 |
| 0.28185 | 3.9492 | 2.3729 |
| 0.28376 | 3.9277 | 2.3009 |
| 0.2857 | 3.9032 | 2.2378 |
| 0.28766 | 3.877 | 2.183 |
| 0.28966 | 3.8503 | 2.1358 |
| 0.29168 | 3.8238 | 2.0956 |
| 0.29372 | 3.7983 | 2.0616 |
| 0.2958 | 3.7743 | 2.0331 |
| 0.29791 | 3.752 | 2.0096 |
| 0.30005 | 3.7317 | 1.9904 |
| 0.30222 | 3.7136 | 1.975 |
| 0.30442 | 3.6979 | 1.9629 |
| 0.30665 | 3.6845 | 1.9538 |
| 0.30891 | 3.6736 | 1.9472 |
| 0.31121 | 3.6651 | 1.9429 |
| 0.31354 | 3.6591 | 1.9405 |
| 0.31591 | 3.6555 | 1.9397 |
| 0.31832 | 3.6543 | 1.9405 |
| 0.32076 | 3.6555 | 1.9424 |
| 0.32324 | 3.659 | 1.9455 |
| 0.32576 | 3.665 | 1.9494 |
| 0.32831 | 3.6732 | 1.9541 |
| 0.33091 | 3.6837 | 1.9595 |
| 0.33355 | 3.6966 | 1.9653 |
| 0.33623 | 3.7118 | 1.9716 |
| 0.33896 | 3.7293 | 1.9782 |
| 0.34173 | 3.7491 | 1.985 |
| 0.34454 | 3.7713 | 1.992 |
| 0.34741 | 3.7959 | 1.9989 |
| 0.35032 | 3.823 | 2.0059 |
| 0.35328 | 3.8526 | 2.0128 |
| 0.35629 | 3.8848 | 2.0195 |
| 0.35935 | 3.9197 | 2.0259 |
| 0.36246 | 3.9574 | 2.032 |
| 0.36563 | 3.9981 | 2.0377 |
| 0.36886 | 4.0419 | 2.0428 |
| 0.37214 | 4.0891 | 2.0474 |
| 0.37548 | 4.1398 | 2.0513 |
| 0.37888 | 4.1944 | 2.0543 |
| 0.38235 | 4.2532 | 2.0565 |
| 0.38588 | 4.3165 | 2.0575 |
| 0.38947 | 4.3848 | 2.0574 |
| 0.39313 | 4.4587 | 2.0558 |
| 0.39686 | 4.5386 | 2.0528 |
| 0.40066 | 4.6252 | 2.048 |
| 0.40454 | 4.7187 | 2.0416 |
| 0.40849 | 4.8193 | 2.0337 |
| 0.41252 | 4.9256 | 2.0249 |
| 0.41663 | 5.0335 | 2.017 |
| 0.42082 | 5.1333 | 2.0139 |
| 0.4251 | 5.2088 | 2.0215 |
| 0.42947 | 5.2163 | 1.9748 |
| 0.43392 | 5.082 | 1.6611 |
| 0.43847 | 4.9573 | 1.4432 |
| 0.44312 | 4.8338 | 1.2573 |
| 0.44786 | 4.7159 | 1.084 |
| 0.45271 | 4.6069 | 0.91489 |
| 0.45767 | 4.5079 | 0.74554 |
| 0.46273 | 4.4196 | 0.57364 |
| 0.46791 | 4.3497 | 0.47218 |
| 0.4732 | 4.2958 | 0.46313 |
| 0.47862 | 4.2462 | 0.45342 |
| 0.48416 | 4.2004 | 0.44314 |
| 0.48983 | 4.158 | 0.43233 |
| 0.49564 | 4.1187 | 0.42105 |
| 0.50158 | 4.0822 | 0.40936 |
| 0.50767 | 4.0481 | 0.39731 |
| 0.51391 | 4.0162 | 0.38494 |
| 0.5203 | 3.9864 | 0.37229 |
| 0.52686 | 3.9584 | 0.35942 |
| 0.53358 | 3.9322 | 0.34637 |
| 0.54048 | 3.9076 | 0.33317 |
| 0.54756 | 3.8844 | 0.31988 |
| 0.55482 | 3.8627 | 0.30653 |
| 0.56228 | 3.8423 | 0.29317 |
| 0.56994 | 3.8231 | 0.27984 |
| 0.57782 | 3.8052 | 0.2666 |
| 0.58591 | 3.7883 | 0.25348 |
| 0.59424 | 3.7726 | 0.24053 |
| 0.60281 | 3.7578 | 0.22782 |
| 0.61162 | 3.7441 | 0.21538 |
| 0.6207 | 3.7314 | 0.20326 |
| 0.63005 | 3.7197 | 0.19151 |
| 0.63969 | 3.7088 | 0.18017 |
| 0.64963 | 3.6989 | 0.16927 |
| 0.65988 | 3.6899 | 0.1588 |
| 0.67046 | 3.6818 | 0.14869 |
| 0.68138 | 3.6745 | 0.13873 |
| 0.69267 | 3.6681 | 0.12802 |
| 0.70433 | 3.6549 | 0.11392 |
| 0.7164 | 3.6423 | 0.11165 |
| 0.72889 | 3.6329 | 0.10992 |
| 0.74182 | 3.625 | 0.10775 |
| 0.75521 | 3.6183 | 0.10506 |
| 0.7691 | 3.6126 | 0.10173 |
| 0.78351 | 3.6077 | 0.097601 |
| 0.79847 | 3.6038 | 0.092432 |
| 0.81402 | 3.6007 | 0.085863 |
| 0.83018 | 3.5984 | 0.077266 |
| 0.84699 | 3.597 | 0.06533 |
| 0.8645 | 3.5964 | 0.045715 |
| 0.88275 | 3.5665 | 0.017586 |
| 0.90179 | 3.5442 | 0.017184 |
| 0.92166 | 3.528 | 0.016758 |
| 0.94243 | 3.5144 | 0.016327 |
| 0.96416 | 3.5023 | 0.015895 |
| 0.98691 | 3.4913 | 0.015465 |
| 1.0108 | 3.4811 | 0.015037 |
| 1.0358 | 3.4717 | 0.014613 |
| 1.0621 | 3.4628 | 0.014192 |
| 1.0898 | 3.4544 | 0.013776 |
| 1.119 | 3.4465 | 0.013363 |
| 1.1497 | 3.4389 | 0.012954 |
| 1.1822 | 3.4318 | 0.01255 |
| 1.2166 | 3.4249 | 0.012149 |
| 1.2531 | 3.4184 | 0.011752 |
| 1.2918 | 3.4122 | 0.011359 |
| 1.3329 | 3.4063 | 0.01097 |
| 1.3768 | 3.4007 | 0.010584 |
| 1.4237 | 3.3953 | 0.010202 |
| 1.4739 | 3.3901 | 0.0098236 |
| 1.5277 | 3.3852 | 0.0094483 |
| 1.5857 | 3.3806 | 0.0090761 |
| 1.6482 | 3.3761 | 0.008707 |
| 1.7158 | 3.3719 | 0.0083408 |
| 1.7892 | 3.3678 | 0.0079774 |
| 1.8692 | 3.364 | 0.0076168 |
| 1.9566 | 3.3604 | 0.0072587 |
| 2.0527 | 3.3569 | 0.006903 |
| 2.1586 | 3.3537 | 0.0065497 |
| 2.2761 | 3.3506 | 0.0061986 |
| 2.4071 | 3.3477 | 0.0058496 |
| 2.5541 | 3.345 | 0.0055025 |
| 2.7203 | 3.3425 | 0.0051573 |
| 2.9095 | 3.3401 | 0.0048139 |
| 3.1271 | 3.3379 | 0.0044721 |
| 3.3798 | 3.3359 | 0.0041317 |
| 3.677 | 3.334 | 0.0037928 |
| 4.0315 | 3.3323 | 0.0034551 |
| 4.4616 | 3.3308 | 0.0031186 |
| 4.9945 | 3.3294 | 0.0027831 |
| 5.6719 | 3.3282 | 0.0024486 |
| 6.5619 | 3.3271 | 0.0021148 |
| 7.7832 | 3.3262 | 0.0017818 |
| 9.5631 | 3.3255 | 0.0014494 |
| 12.398 | 3.3249 | 0.0011175 |
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
- —