Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Adachi 1989: n,k 0.207–12.4 µm; 31.5% Al
- 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
- 3.69168
- Extinction coefficient k
- 0.188791
- Permittivity ε1
- 13.5929
- Permittivity ε2
- 1.39391
- Absorption coefficient α
- 40374.6 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 495.36 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.4886 µm⁻¹
- Group index ng
- 4.56638
- 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
# AlAs-GaAs (Aluminium gallium arsenide, AlGaAs): Adachi 1989: n,k 0.207–12.4 µm; 31.5% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Adachi-0.315", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas_gaas.range_nm) # (206.64, 12398) nm
eps = alas_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_d52d46305568/lightsmith"
alas_gaas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(alas_gaas.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (alas-gaas/adachi-1989-0-315).
# ... load alas_gaas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=alas_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.
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 | 1.3796 | 2.4794 |
| 0.20767 | 1.3889 | 2.4981 |
| 0.2087 | 1.3984 | 2.5174 |
| 0.20975 | 1.4081 | 2.5372 |
| 0.21081 | 1.4182 | 2.5577 |
| 0.21188 | 1.4287 | 2.5788 |
| 0.21295 | 1.4395 | 2.6006 |
| 0.21404 | 1.4507 | 2.6231 |
| 0.21515 | 1.4623 | 2.6464 |
| 0.21626 | 1.4745 | 2.6706 |
| 0.21738 | 1.4871 | 2.6956 |
| 0.21852 | 1.5004 | 2.7215 |
| 0.21967 | 1.5143 | 2.7484 |
| 0.22083 | 1.529 | 2.7763 |
| 0.222 | 1.5444 | 2.8054 |
| 0.22318 | 1.5608 | 2.8356 |
| 0.22438 | 1.5781 | 2.867 |
| 0.22559 | 1.5966 | 2.8997 |
| 0.22681 | 1.6164 | 2.9338 |
| 0.22805 | 1.6376 | 2.9694 |
| 0.2293 | 1.6604 | 3.0065 |
| 0.23057 | 1.6851 | 3.0451 |
| 0.23184 | 1.7118 | 3.0855 |
| 0.23314 | 1.7409 | 3.1275 |
| 0.23444 | 1.7727 | 3.1713 |
| 0.23577 | 1.8076 | 3.2169 |
| 0.2371 | 1.846 | 3.2642 |
| 0.23845 | 1.8883 | 3.3132 |
| 0.23982 | 1.9353 | 3.3639 |
| 0.2412 | 1.9874 | 3.4159 |
| 0.2426 | 2.0455 | 3.469 |
| 0.24402 | 2.1102 | 3.5227 |
| 0.24545 | 2.1825 | 3.5764 |
| 0.2469 | 2.2632 | 3.6292 |
| 0.24837 | 2.3531 | 3.6799 |
| 0.24985 | 2.4531 | 3.727 |
| 0.25135 | 2.5637 | 3.7685 |
| 0.25287 | 2.6852 | 3.8019 |
| 0.25441 | 2.817 | 3.8247 |
| 0.25597 | 2.9582 | 3.8337 |
| 0.25755 | 3.1065 | 3.8258 |
| 0.25914 | 3.2586 | 3.7985 |
| 0.26076 | 3.4101 | 3.7498 |
| 0.26239 | 3.556 | 3.6794 |
| 0.26405 | 3.6908 | 3.5886 |
| 0.26573 | 3.8098 | 3.4803 |
| 0.26743 | 3.9091 | 3.3591 |
| 0.26915 | 3.9871 | 3.2303 |
| 0.27089 | 4.0435 | 3.0993 |
| 0.27266 | 4.0797 | 2.9709 |
| 0.27445 | 4.0983 | 2.8487 |
| 0.27626 | 4.1023 | 2.7355 |
| 0.2781 | 4.0949 | 2.6327 |
| 0.27996 | 4.0791 | 2.541 |
| 0.28185 | 4.0575 | 2.4604 |
| 0.28376 | 4.0324 | 2.3902 |
| 0.2857 | 4.0054 | 2.3299 |
| 0.28766 | 3.9781 | 2.2784 |
| 0.28966 | 3.9513 | 2.2348 |
| 0.29168 | 3.926 | 2.1983 |
| 0.29372 | 3.9026 | 2.168 |
| 0.2958 | 3.8816 | 2.143 |
| 0.29791 | 3.8632 | 2.1227 |
| 0.30005 | 3.8476 | 2.1064 |
| 0.30222 | 3.8349 | 2.0936 |
| 0.30442 | 3.8252 | 2.0837 |
| 0.30665 | 3.8184 | 2.0764 |
| 0.30891 | 3.8146 | 2.0712 |
| 0.31121 | 3.8137 | 2.0678 |
| 0.31354 | 3.8157 | 2.0659 |
| 0.31591 | 3.8206 | 2.0653 |
| 0.31832 | 3.8283 | 2.0658 |
| 0.32076 | 3.8389 | 2.067 |
| 0.32324 | 3.8522 | 2.069 |
| 0.32576 | 3.8684 | 2.0715 |
| 0.32831 | 3.8874 | 2.0743 |
| 0.33091 | 3.9093 | 2.0774 |
| 0.33355 | 3.934 | 2.0805 |
| 0.33623 | 3.9616 | 2.0837 |
| 0.33896 | 3.9922 | 2.0867 |
| 0.34173 | 4.0259 | 2.0896 |
| 0.34454 | 4.0629 | 2.092 |
| 0.34741 | 4.1031 | 2.0941 |
| 0.35032 | 4.1469 | 2.0956 |
| 0.35328 | 4.1944 | 2.0964 |
| 0.35629 | 4.246 | 2.0964 |
| 0.35935 | 4.3018 | 2.0956 |
| 0.36246 | 4.3622 | 2.0936 |
| 0.36563 | 4.4276 | 2.0905 |
| 0.36886 | 4.4984 | 2.0861 |
| 0.37214 | 4.575 | 2.0804 |
| 0.37548 | 4.6576 | 2.0732 |
| 0.37888 | 4.7458 | 2.0649 |
| 0.38235 | 4.8386 | 2.0561 |
| 0.38588 | 4.9324 | 2.0482 |
| 0.38947 | 5.02 | 2.0442 |
| 0.39313 | 5.0897 | 2.0486 |
| 0.39686 | 5.1195 | 2.0426 |
| 0.40066 | 4.9909 | 1.7203 |
| 0.40454 | 4.8861 | 1.5262 |
| 0.40849 | 4.7801 | 1.3696 |
| 0.41252 | 4.6758 | 1.2291 |
| 0.41663 | 4.5766 | 1.0957 |
| 0.42082 | 4.4841 | 0.9646 |
| 0.4251 | 4.3988 | 0.83332 |
| 0.42947 | 4.3212 | 0.70026 |
| 0.43392 | 4.251 | 0.56443 |
| 0.43847 | 4.1898 | 0.4371 |
| 0.44312 | 4.1468 | 0.43171 |
| 0.44786 | 4.1071 | 0.42587 |
| 0.45271 | 4.0705 | 0.41963 |
| 0.45767 | 4.0367 | 0.413 |
| 0.46273 | 4.0054 | 0.40601 |
| 0.46791 | 3.9764 | 0.39867 |
| 0.4732 | 3.9494 | 0.391 |
| 0.47862 | 3.9245 | 0.38302 |
| 0.48416 | 3.9013 | 0.37472 |
| 0.48983 | 3.8799 | 0.36613 |
| 0.49564 | 3.86 | 0.35723 |
| 0.50158 | 3.8417 | 0.34802 |
| 0.50767 | 3.8247 | 0.3385 |
| 0.51391 | 3.8092 | 0.32864 |
| 0.5203 | 3.7949 | 0.31842 |
| 0.52686 | 3.7819 | 0.3078 |
| 0.53358 | 3.7701 | 0.29671 |
| 0.54048 | 3.7594 | 0.28507 |
| 0.54756 | 3.7499 | 0.27273 |
| 0.55482 | 3.7416 | 0.25944 |
| 0.56228 | 3.7342 | 0.24471 |
| 0.56994 | 3.7279 | 0.22723 |
| 0.57782 | 3.7137 | 0.19886 |
| 0.58591 | 3.6942 | 0.19057 |
| 0.59424 | 3.6818 | 0.1818 |
| 0.60281 | 3.672 | 0.17274 |
| 0.61162 | 3.6639 | 0.16334 |
| 0.6207 | 3.6573 | 0.15345 |
| 0.63005 | 3.652 | 0.14286 |
| 0.63969 | 3.6478 | 0.13118 |
| 0.64963 | 3.6448 | 0.11758 |
| 0.65988 | 3.6428 | 0.099692 |
| 0.67046 | 3.6418 | 0.072402 |
| 0.68138 | 3.6045 | 0.022987 |
| 0.69267 | 3.5675 | 0.022592 |
| 0.70433 | 3.5424 | 0.022131 |
| 0.7164 | 3.5217 | 0.021653 |
| 0.72889 | 3.5035 | 0.021169 |
| 0.74182 | 3.4871 | 0.020685 |
| 0.75521 | 3.472 | 0.020203 |
| 0.7691 | 3.4579 | 0.019725 |
| 0.78351 | 3.4447 | 0.019251 |
| 0.79847 | 3.4323 | 0.018783 |
| 0.81402 | 3.4205 | 0.01832 |
| 0.83018 | 3.4092 | 0.017862 |
| 0.84699 | 3.3986 | 0.017411 |
| 0.8645 | 3.3883 | 0.016965 |
| 0.88275 | 3.3786 | 0.016525 |
| 0.90179 | 3.3692 | 0.01609 |
| 0.92166 | 3.3602 | 0.015661 |
| 0.94243 | 3.3516 | 0.015238 |
| 0.96416 | 3.3433 | 0.01482 |
| 0.98691 | 3.3354 | 0.014408 |
| 1.0108 | 3.3277 | 0.014001 |
| 1.0358 | 3.3204 | 0.013599 |
| 1.0621 | 3.3133 | 0.013201 |
| 1.0898 | 3.3065 | 0.012809 |
| 1.119 | 3.3 | 0.012421 |
| 1.1497 | 3.2937 | 0.012038 |
| 1.1822 | 3.2876 | 0.011659 |
| 1.2166 | 3.2818 | 0.011284 |
| 1.2531 | 3.2762 | 0.010913 |
| 1.2918 | 3.2708 | 0.010546 |
| 1.3329 | 3.2656 | 0.010183 |
| 1.3768 | 3.2607 | 0.0098239 |
| 1.4237 | 3.2559 | 0.009468 |
| 1.4739 | 3.2514 | 0.0091155 |
| 1.5277 | 3.247 | 0.0087662 |
| 1.5857 | 3.2428 | 0.0084201 |
| 1.6482 | 3.2388 | 0.0080769 |
| 1.7158 | 3.235 | 0.0077366 |
| 1.7892 | 3.2314 | 0.0073989 |
| 1.8692 | 3.2279 | 0.0070639 |
| 1.9566 | 3.2246 | 0.0067314 |
| 2.0527 | 3.2215 | 0.0064012 |
| 2.1586 | 3.2185 | 0.0060732 |
| 2.2761 | 3.2157 | 0.0057474 |
| 2.4071 | 3.2131 | 0.0054235 |
| 2.5541 | 3.2106 | 0.0051016 |
| 2.7203 | 3.2083 | 0.0047813 |
| 2.9095 | 3.2061 | 0.0044628 |
| 3.1271 | 3.2041 | 0.0041457 |
| 3.3798 | 3.2022 | 0.0038301 |
| 3.677 | 3.2005 | 0.0035158 |
| 4.0315 | 3.1989 | 0.0032027 |
| 4.4616 | 3.1975 | 0.0028907 |
| 4.9945 | 3.1962 | 0.0025797 |
| 5.6719 | 3.1951 | 0.0022696 |
| 6.5619 | 3.1941 | 0.0019602 |
| 7.7832 | 3.1933 | 0.0016516 |
| 9.5631 | 3.1926 | 0.0013434 |
| 12.398 | 3.192 | 0.0010358 |
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
- —
AlxGa1-xAs; x=0.315