Optical constants
Refractive index of AlAs (Aluminium arsenide)
Rakić and Majewski 1996: n,k 0.221–2.48 µm
- Data
- tabulated nk
- Range
- 0.2214–2.48 µm
- Points
- 200
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.17852
- Extinction coefficient k
- 0.00178848
- Permittivity ε1
- 10.103
- Permittivity ε2
- 0.0113694
- Absorption coefficient α
- 382.483 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 52289.9 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.31944 µm⁻¹
- Group index ng
- 3.95383
- 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 (Aluminium arsenide): Rakić and Majewski 1996: n,k 0.221–2.48 µm
alas = ls.fetch_refractiveindex("main", "AlAs", "Rakic", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas.range_nm) # (221.4, 2479.7) nm
eps = alas.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_36abcb265866/lightsmith"
alas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(alas.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (alas/rakic-majewski-1996).
# ... load alas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=alas)],
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:10.1063/1.363586 Modeling the optical dielectric function of GaAs and AlAs: Extension of Adachi’s model, Journal of Applied Physics (1996)
Cite
Aleksandar D. Rakić and Marian L. Majewski. Modeling the optical dielectric function of GaAs and AlAs: Extension of Adachi’s model. Journal of Applied Physics, 80, 5909-5914 (1996), doi:10.1063/1.363586; [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 |
|---|---|---|
| 0.2214 | 1.4237 | 3.1989 |
| 0.22242 | 1.4464 | 3.237 |
| 0.22345 | 1.4711 | 3.2763 |
| 0.22448 | 1.4978 | 3.3169 |
| 0.22553 | 1.5267 | 3.3588 |
| 0.22659 | 1.5582 | 3.402 |
| 0.22765 | 1.5925 | 3.4464 |
| 0.22873 | 1.6297 | 3.492 |
| 0.22981 | 1.6704 | 3.5388 |
| 0.23091 | 1.7147 | 3.5865 |
| 0.23202 | 1.7631 | 3.635 |
| 0.23314 | 1.8158 | 3.6842 |
| 0.23427 | 1.8735 | 3.7337 |
| 0.23541 | 1.9363 | 3.7832 |
| 0.23656 | 2.0049 | 3.8322 |
| 0.23772 | 2.0796 | 3.8802 |
| 0.23889 | 2.1607 | 3.9264 |
| 0.24008 | 2.2487 | 3.9701 |
| 0.24128 | 2.3437 | 4.0102 |
| 0.24249 | 2.4458 | 4.0457 |
| 0.24371 | 2.5549 | 4.0754 |
| 0.24494 | 2.6705 | 4.0979 |
| 0.24619 | 2.792 | 4.1118 |
| 0.24745 | 2.9184 | 4.116 |
| 0.24872 | 3.0482 | 4.1094 |
| 0.25 | 3.1797 | 4.0911 |
| 0.2513 | 3.311 | 4.061 |
| 0.25261 | 3.4402 | 4.0192 |
| 0.25394 | 3.5655 | 3.9665 |
| 0.25528 | 3.6854 | 3.9039 |
| 0.25663 | 3.7992 | 3.8331 |
| 0.258 | 3.9065 | 3.7552 |
| 0.25939 | 4.0077 | 3.6714 |
| 0.26078 | 4.1035 | 3.5819 |
| 0.2622 | 4.1942 | 3.4863 |
| 0.26363 | 4.2798 | 3.3831 |
| 0.26507 | 4.3583 | 3.2708 |
| 0.26653 | 4.4266 | 3.1486 |
| 0.26801 | 4.4802 | 3.0177 |
| 0.2695 | 4.5155 | 2.8819 |
| 0.27101 | 4.5307 | 2.7466 |
| 0.27254 | 4.5267 | 2.6174 |
| 0.27408 | 4.5065 | 2.4988 |
| 0.27564 | 4.4738 | 2.3933 |
| 0.27722 | 4.4324 | 2.3022 |
| 0.27882 | 4.3854 | 2.2255 |
| 0.28044 | 4.3354 | 2.1629 |
| 0.28207 | 4.2841 | 2.1138 |
| 0.28373 | 4.233 | 2.0777 |
| 0.2854 | 4.1834 | 2.0547 |
| 0.28709 | 4.1364 | 2.0451 |
| 0.28881 | 4.0937 | 2.0499 |
| 0.29054 | 4.0578 | 2.0705 |
| 0.2923 | 4.0327 | 2.1088 |
| 0.29407 | 4.0255 | 2.1658 |
| 0.29587 | 4.047 | 2.2402 |
| 0.29769 | 4.1111 | 2.3229 |
| 0.29954 | 4.2293 | 2.3918 |
| 0.3014 | 4.3953 | 2.4124 |
| 0.30329 | 4.573 | 2.3581 |
| 0.30521 | 4.7129 | 2.2396 |
| 0.30714 | 4.7926 | 2.0998 |
| 0.30911 | 4.8263 | 1.9772 |
| 0.31109 | 4.8436 | 1.8865 |
| 0.31311 | 4.8714 | 1.8217 |
| 0.31515 | 4.927 | 1.7621 |
| 0.31721 | 5.0094 | 1.6785 |
| 0.31931 | 5.0937 | 1.5487 |
| 0.32143 | 5.1445 | 1.3781 |
| 0.32358 | 5.1442 | 1.1957 |
| 0.32576 | 5.1001 | 1.0288 |
| 0.32797 | 5.0298 | 0.88937 |
| 0.3302 | 4.9482 | 0.77761 |
| 0.33247 | 4.8644 | 0.68904 |
| 0.33477 | 4.783 | 0.61852 |
| 0.33711 | 4.7063 | 0.56168 |
| 0.33947 | 4.6347 | 0.51517 |
| 0.34187 | 4.5685 | 0.47648 |
| 0.3443 | 4.5073 | 0.44379 |
| 0.34677 | 4.4508 | 0.41574 |
| 0.34928 | 4.3985 | 0.39132 |
| 0.35182 | 4.35 | 0.36975 |
| 0.35439 | 4.3051 | 0.35043 |
| 0.35701 | 4.2633 | 0.3329 |
| 0.35966 | 4.2243 | 0.31678 |
| 0.36236 | 4.188 | 0.30175 |
| 0.36509 | 4.1541 | 0.28754 |
| 0.36787 | 4.1225 | 0.27391 |
| 0.37069 | 4.0928 | 0.26063 |
| 0.37355 | 4.0651 | 0.24746 |
| 0.37645 | 4.0391 | 0.23415 |
| 0.37941 | 4.0148 | 0.22033 |
| 0.38241 | 3.9919 | 0.20543 |
| 0.38545 | 3.9704 | 0.18785 |
| 0.38855 | 3.939 | 0.1651 |
| 0.39169 | 3.9102 | 0.15569 |
| 0.39489 | 3.8858 | 0.14573 |
| 0.39814 | 3.8636 | 0.13506 |
| 0.40145 | 3.843 | 0.12336 |
| 0.4048 | 3.8225 | 0.10981 |
| 0.40822 | 3.7968 | 0.093241 |
| 0.41169 | 3.7615 | 0.078298 |
| 0.41523 | 3.7313 | 0.065678 |
| 0.41882 | 3.7068 | 0.047059 |
| 0.42248 | 3.6782 | 0.033231 |
| 0.4262 | 3.6505 | 0.028085 |
| 0.42999 | 3.625 | 0.025642 |
| 0.43385 | 3.6011 | 0.023682 |
| 0.43777 | 3.5786 | 0.021879 |
| 0.44177 | 3.5571 | 0.020202 |
| 0.44584 | 3.5366 | 0.018643 |
| 0.44999 | 3.5169 | 0.017194 |
| 0.45421 | 3.498 | 0.015849 |
| 0.45852 | 3.4798 | 0.014601 |
| 0.46291 | 3.4622 | 0.013442 |
| 0.46738 | 3.4452 | 0.012368 |
| 0.47194 | 3.4287 | 0.011372 |
| 0.47659 | 3.4128 | 0.01045 |
| 0.48133 | 3.3973 | 0.0095962 |
| 0.48616 | 3.3823 | 0.0088061 |
| 0.4911 | 3.3677 | 0.0080755 |
| 0.49614 | 3.3535 | 0.0074003 |
| 0.50128 | 3.3398 | 0.0067766 |
| 0.50653 | 3.3264 | 0.0062009 |
| 0.51188 | 3.3133 | 0.00567 |
| 0.51736 | 3.3006 | 0.0051805 |
| 0.52295 | 3.2883 | 0.0047296 |
| 0.52867 | 3.2762 | 0.0043146 |
| 0.53451 | 3.2645 | 0.0039329 |
| 0.54048 | 3.253 | 0.003582 |
| 0.54659 | 3.2418 | 0.0032598 |
| 0.55283 | 3.2309 | 0.0029641 |
| 0.55922 | 3.2203 | 0.002693 |
| 0.56576 | 3.2099 | 0.0024446 |
| 0.57246 | 3.1997 | 0.0022172 |
| 0.57931 | 3.1898 | 0.0020092 |
| 0.58633 | 3.1802 | 0.0018191 |
| 0.59353 | 3.1707 | 0.0016455 |
| 0.6009 | 3.1615 | 0.0014872 |
| 0.60846 | 3.1525 | 0.0013429 |
| 0.61621 | 3.1437 | 0.0012114 |
| 0.62416 | 3.135 | 0.0010918 |
| 0.63231 | 3.1266 | 0.00098315 |
| 0.64069 | 3.1184 | 0.00088444 |
| 0.64929 | 3.1103 | 0.00079488 |
| 0.65812 | 3.1025 | 0.00071371 |
| 0.66719 | 3.0948 | 0.0006402 |
| 0.67652 | 3.0872 | 0.0005737 |
| 0.68612 | 3.0799 | 0.00051361 |
| 0.69599 | 3.0727 | 0.00045935 |
| 0.70615 | 3.0656 | 0.00041042 |
| 0.71661 | 3.0587 | 0.00036632 |
| 0.72738 | 3.052 | 0.00032663 |
| 0.73849 | 3.0454 | 0.00029094 |
| 0.74993 | 3.039 | 0.00025889 |
| 0.76174 | 3.0326 | 0.00023012 |
| 0.77393 | 3.0265 | 0.00020434 |
| 0.78651 | 3.0204 | 0.00018125 |
| 0.79951 | 3.0146 | 0.0001606 |
| 0.81294 | 3.0088 | 0.00014215 |
| 0.82684 | 3.0031 | 0.00012568 |
| 0.84122 | 2.9976 | 0.000111 |
| 0.8561 | 2.9922 | 9.7927e-05 |
| 0.87152 | 2.987 | 8.6297e-05 |
| 0.88751 | 2.9818 | 7.5962e-05 |
| 0.9041 | 2.9768 | 6.679e-05 |
| 0.92132 | 2.9719 | 5.8658e-05 |
| 0.9392 | 2.967 | 5.1457e-05 |
| 0.9578 | 2.9623 | 4.5088e-05 |
| 0.97714 | 2.9578 | 3.9461e-05 |
| 0.99729 | 2.9533 | 3.4496e-05 |
| 1.0183 | 2.9489 | 3.0119e-05 |
| 1.0402 | 2.9446 | 2.6266e-05 |
| 1.063 | 2.9405 | 2.2878e-05 |
| 1.0869 | 2.9364 | 1.9903e-05 |
| 1.1119 | 2.9324 | 1.7293e-05 |
| 1.138 | 2.9285 | 1.5006e-05 |
| 1.1655 | 2.9248 | 1.3006e-05 |
| 1.1942 | 2.9211 | 1.1257e-05 |
| 1.2245 | 2.9175 | 9.7316e-06 |
| 1.2563 | 2.914 | 8.4014e-06 |
| 1.2897 | 2.9106 | 7.2435e-06 |
| 1.3251 | 2.9073 | 6.2368e-06 |
| 1.3624 | 2.9041 | 5.3626e-06 |
| 1.4019 | 2.9009 | 4.6046e-06 |
| 1.4437 | 2.8979 | 3.9483e-06 |
| 1.4881 | 2.8949 | 3.3806e-06 |
| 1.5353 | 2.892 | 2.8904e-06 |
| 1.5857 | 2.8893 | 2.4676e-06 |
| 1.6394 | 2.8865 | 2.1035e-06 |
| 1.6969 | 2.8839 | 1.7904e-06 |
| 1.7586 | 2.8814 | 1.5216e-06 |
| 1.8249 | 2.8789 | 1.291e-06 |
| 1.8965 | 2.8765 | 1.0936e-06 |
| 1.9738 | 2.8742 | 9.2491e-07 |
| 2.0578 | 2.872 | 7.8088e-07 |
| 2.1492 | 2.8699 | 6.5813e-07 |
| 2.2491 | 2.8678 | 5.5368e-07 |
| 2.3588 | 2.8658 | 4.6496e-07 |
| 2.4797 | 2.8639 | 3.8971e-07 |
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
- —