Optical constants
Refractive index of GaAs-InAs (Gallium indium arsenide, GaInAs, InGaAs)
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
- 3.91235
- Extinction coefficient k
- 0.615886
- Permittivity ε1
- 14.9271
- Permittivity ε2
- 4.81912
- Absorption coefficient α
- 131713 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 151.845 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -3.10924 µm⁻¹
- Group index ng
- 5.73934
- 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-InAs (Gallium indium arsenide, GaInAs, InGaAs): Adachi 1989: n,k 0.207–12.4 µm
gaas_inas = ls.fetch_refractiveindex("other", "GaAs-InAs", "Adachi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gaas_inas.range_nm) # (206.64, 12398) nm
eps = gaas_inas.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_20be5ecb6089/lightsmith"
gaas_inas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gaas_inas.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gaas-inas/adachi-1989).
# ... load gaas_inas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gaas_inas)],
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.
Comments and conditions
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 | 1.2541 | 1.7728 |
| 0.20767 | 1.2603 | 1.7923 |
| 0.2087 | 1.2668 | 1.8121 |
| 0.20975 | 1.2737 | 1.8324 |
| 0.21081 | 1.2808 | 1.853 |
| 0.21188 | 1.2882 | 1.874 |
| 0.21295 | 1.296 | 1.8955 |
| 0.21404 | 1.3042 | 1.9174 |
| 0.21515 | 1.3128 | 1.9397 |
| 0.21626 | 1.3218 | 1.9625 |
| 0.21738 | 1.3312 | 1.9859 |
| 0.21852 | 1.3411 | 2.0097 |
| 0.21967 | 1.3515 | 2.034 |
| 0.22083 | 1.3625 | 2.0588 |
| 0.222 | 1.374 | 2.0842 |
| 0.22318 | 1.3862 | 2.1102 |
| 0.22438 | 1.399 | 2.1368 |
| 0.22559 | 1.4126 | 2.1639 |
| 0.22681 | 1.427 | 2.1917 |
| 0.22805 | 1.4421 | 2.2201 |
| 0.2293 | 1.4582 | 2.2491 |
| 0.23057 | 1.4753 | 2.2788 |
| 0.23184 | 1.4934 | 2.3091 |
| 0.23314 | 1.5126 | 2.3401 |
| 0.23444 | 1.533 | 2.3718 |
| 0.23577 | 1.5548 | 2.4041 |
| 0.2371 | 1.5781 | 2.4371 |
| 0.23845 | 1.6028 | 2.4708 |
| 0.23982 | 1.6293 | 2.505 |
| 0.2412 | 1.6576 | 2.5398 |
| 0.2426 | 1.6878 | 2.5752 |
| 0.24402 | 1.7202 | 2.611 |
| 0.24545 | 1.7549 | 2.6472 |
| 0.2469 | 1.7921 | 2.6837 |
| 0.24837 | 1.832 | 2.7203 |
| 0.24985 | 1.8747 | 2.757 |
| 0.25135 | 1.9206 | 2.7933 |
| 0.25287 | 1.9697 | 2.8293 |
| 0.25441 | 2.0224 | 2.8645 |
| 0.25597 | 2.0787 | 2.8985 |
| 0.25755 | 2.1388 | 2.9312 |
| 0.25914 | 2.203 | 2.9618 |
| 0.26076 | 2.2712 | 2.99 |
| 0.26239 | 2.3434 | 3.0151 |
| 0.26405 | 2.4197 | 3.0365 |
| 0.26573 | 2.4997 | 3.0536 |
| 0.26743 | 2.5832 | 3.0655 |
| 0.26915 | 2.6698 | 3.0716 |
| 0.27089 | 2.7587 | 3.0712 |
| 0.27266 | 2.8492 | 3.0637 |
| 0.27445 | 2.9403 | 3.0486 |
| 0.27626 | 3.0309 | 3.0256 |
| 0.2781 | 3.1197 | 2.9947 |
| 0.27996 | 3.2056 | 2.956 |
| 0.28185 | 3.2873 | 2.91 |
| 0.28376 | 3.3636 | 2.8574 |
| 0.2857 | 3.4336 | 2.7991 |
| 0.28766 | 3.4967 | 2.7363 |
| 0.28966 | 3.5522 | 2.6702 |
| 0.29168 | 3.6 | 2.602 |
| 0.29372 | 3.6402 | 2.533 |
| 0.2958 | 3.673 | 2.4643 |
| 0.29791 | 3.6989 | 2.397 |
| 0.30005 | 3.7185 | 2.3318 |
| 0.30222 | 3.7325 | 2.2695 |
| 0.30442 | 3.7417 | 2.2105 |
| 0.30665 | 3.7467 | 2.1552 |
| 0.30891 | 3.7484 | 2.1039 |
| 0.31121 | 3.7473 | 2.0565 |
| 0.31354 | 3.7442 | 2.0131 |
| 0.31591 | 3.7395 | 1.9737 |
| 0.31832 | 3.7338 | 1.9381 |
| 0.32076 | 3.7275 | 1.9062 |
| 0.32324 | 3.721 | 1.8777 |
| 0.32576 | 3.7146 | 1.8524 |
| 0.32831 | 3.7087 | 1.8302 |
| 0.33091 | 3.7034 | 1.8109 |
| 0.33355 | 3.6989 | 1.7942 |
| 0.33623 | 3.6955 | 1.7799 |
| 0.33896 | 3.6932 | 1.7678 |
| 0.34173 | 3.6923 | 1.7578 |
| 0.34454 | 3.6928 | 1.7496 |
| 0.34741 | 3.6947 | 1.7432 |
| 0.35032 | 3.6983 | 1.7382 |
| 0.35328 | 3.7036 | 1.7347 |
| 0.35629 | 3.7106 | 1.7325 |
| 0.35935 | 3.7194 | 1.7313 |
| 0.36246 | 3.73 | 1.7312 |
| 0.36563 | 3.7426 | 1.732 |
| 0.36886 | 3.7573 | 1.7335 |
| 0.37214 | 3.774 | 1.7357 |
| 0.37548 | 3.7928 | 1.7386 |
| 0.37888 | 3.8139 | 1.7419 |
| 0.38235 | 3.8374 | 1.7456 |
| 0.38588 | 3.8632 | 1.7496 |
| 0.38947 | 3.8916 | 1.7538 |
| 0.39313 | 3.9226 | 1.7582 |
| 0.39686 | 3.9564 | 1.7626 |
| 0.40066 | 3.9931 | 1.767 |
| 0.40454 | 4.0328 | 1.7713 |
| 0.40849 | 4.0756 | 1.7755 |
| 0.41252 | 4.1216 | 1.7795 |
| 0.41663 | 4.1705 | 1.7835 |
| 0.42082 | 4.2222 | 1.7875 |
| 0.4251 | 4.2758 | 1.7919 |
| 0.42947 | 4.33 | 1.7971 |
| 0.43392 | 4.3832 | 1.804 |
| 0.43847 | 4.416 | 1.7691 |
| 0.44312 | 4.4163 | 1.6587 |
| 0.44786 | 4.4364 | 1.6034 |
| 0.45271 | 4.4611 | 1.5622 |
| 0.45767 | 4.4891 | 1.5283 |
| 0.46273 | 4.5191 | 1.4992 |
| 0.46791 | 4.549 | 1.4742 |
| 0.4732 | 4.5746 | 1.4534 |
| 0.47862 | 4.5909 | 1.438 |
| 0.48416 | 4.7107 | 1.7698 |
| 0.48983 | 4.6092 | 1.5138 |
| 0.49564 | 4.5265 | 1.3304 |
| 0.50158 | 4.4463 | 1.1689 |
| 0.50767 | 4.3682 | 1.0161 |
| 0.51391 | 4.2935 | 0.86563 |
| 0.5203 | 4.2264 | 0.73073 |
| 0.52686 | 4.1844 | 0.72078 |
| 0.53358 | 4.1443 | 0.71021 |
| 0.54048 | 4.1062 | 0.69901 |
| 0.54756 | 4.0703 | 0.68717 |
| 0.55482 | 4.0363 | 0.6747 |
| 0.56228 | 4.0042 | 0.66162 |
| 0.56994 | 3.9738 | 0.64796 |
| 0.57782 | 3.945 | 0.63374 |
| 0.58591 | 3.9176 | 0.61898 |
| 0.59424 | 3.8917 | 0.60373 |
| 0.60281 | 3.867 | 0.58799 |
| 0.61162 | 3.8436 | 0.57179 |
| 0.6207 | 3.8212 | 0.55517 |
| 0.63005 | 3.7999 | 0.53814 |
| 0.63969 | 3.7795 | 0.52074 |
| 0.64963 | 3.7601 | 0.50298 |
| 0.65988 | 3.7416 | 0.48491 |
| 0.67046 | 3.724 | 0.46655 |
| 0.68138 | 3.7071 | 0.44795 |
| 0.69267 | 3.6911 | 0.42913 |
| 0.70433 | 3.6758 | 0.41014 |
| 0.7164 | 3.6613 | 0.39102 |
| 0.72889 | 3.6475 | 0.37184 |
| 0.74182 | 3.6344 | 0.35264 |
| 0.75521 | 3.622 | 0.3335 |
| 0.7691 | 3.6104 | 0.31448 |
| 0.78351 | 3.5994 | 0.29567 |
| 0.79847 | 3.5891 | 0.27716 |
| 0.81402 | 3.5794 | 0.25904 |
| 0.83018 | 3.5705 | 0.24145 |
| 0.84699 | 3.5622 | 0.2245 |
| 0.8645 | 3.5546 | 0.20834 |
| 0.88275 | 3.5477 | 0.19314 |
| 0.90179 | 3.5415 | 0.17909 |
| 0.92166 | 3.536 | 0.16638 |
| 0.94243 | 3.5312 | 0.15525 |
| 0.96416 | 3.5271 | 0.14597 |
| 0.98691 | 3.5238 | 0.13883 |
| 1.0108 | 3.5212 | 0.13417 |
| 1.0358 | 3.5194 | 0.13232 |
| 1.0621 | 3.5184 | 0.13144 |
| 1.0898 | 3.5182 | 0.12998 |
| 1.119 | 3.5187 | 0.12766 |
| 1.1497 | 3.5201 | 0.1239 |
| 1.1822 | 3.5223 | 0.11656 |
| 1.2166 | 3.5137 | 0.10917 |
| 1.2531 | 3.5106 | 0.10848 |
| 1.2918 | 3.5098 | 0.10723 |
| 1.3329 | 3.5106 | 0.10526 |
| 1.3768 | 3.5127 | 0.10232 |
| 1.4237 | 3.5162 | 0.098017 |
| 1.4739 | 3.5211 | 0.09172 |
| 1.5277 | 3.5276 | 0.082274 |
| 1.5857 | 3.5356 | 0.066993 |
| 1.6482 | 3.5455 | 0.030846 |
| 1.7158 | 3.5041 | 0.016086 |
| 1.7892 | 3.4886 | 0.015428 |
| 1.8692 | 3.4776 | 0.014754 |
| 1.9566 | 3.4688 | 0.014075 |
| 2.0527 | 3.4614 | 0.013395 |
| 2.1586 | 3.4549 | 0.012716 |
| 2.2761 | 3.4492 | 0.012039 |
| 2.4071 | 3.4442 | 0.011364 |
| 2.5541 | 3.4396 | 0.010692 |
| 2.7203 | 3.4354 | 0.010022 |
| 2.9095 | 3.4317 | 0.0093559 |
| 3.1271 | 3.4283 | 0.0086921 |
| 3.3798 | 3.4252 | 0.008031 |
| 3.677 | 3.4225 | 0.0073723 |
| 4.0315 | 3.42 | 0.0067161 |
| 4.4616 | 3.4177 | 0.006062 |
| 4.9945 | 3.4158 | 0.0054098 |
| 5.6719 | 3.414 | 0.0047595 |
| 6.5619 | 3.4125 | 0.0041108 |
| 7.7832 | 3.4113 | 0.0034634 |
| 9.5631 | 3.4102 | 0.0028173 |
| 12.398 | 3.4094 | 0.002172 |
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
- —
In1-xGaxAs; x=0.48