Optical constants
Refractive index of AlAs (Aluminium arsenide)
Fern and Onton 1971: n 0.56–2.2 µm
- Data
- formula 1
- Range
- 0.56–2.2 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.16011
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.9863
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.27721 µm⁻¹
- Group index ng
- 3.9106
- Group velocity dispersion
- 3092.29 fs²/mm
- Dispersion parameter D
- -16870.1 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): Fern and Onton 1971: n 0.56–2.2 µm
alas = ls.fetch_refractiveindex("main", "AlAs", "Fern", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas.range_nm) # (560, 2200) 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_9ff32a84a6d7/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/fern-onton-1971).
# ... 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=560, 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_9ff32a84a6d7/lightsmith?model=drude_lorentz"
alas_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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.
Dispersion formula
Sellmeier (formula 1), λ in µmValid from 0.56 to 2.2 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.0792 |
| C2 | 6.084 |
| C3 | 0.2822 |
| C4 | 1.9 |
| C5 | 27.62 |
References
- doi:10.1063/1.1660760 Refractive Index of AlAs, Journal of Applied Physics (1971)
Cite
R. E. Fern and A. Onton. Refractive Index of AlAs. Journal of Applied Physics, 42, 3499-3500 (1971), doi:10.1063/1.1660760; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 400 wavelengths, the same grid as the API and the library| λ (µm) | n |
|---|---|
| 0.56 | 3.198953 |
| 0.561924 | 3.195993 |
| 0.563854 | 3.193063 |
| 0.565791 | 3.190164 |
| 0.567734 | 3.187295 |
| 0.569685 | 3.184456 |
| 0.571642 | 3.181647 |
| 0.573605 | 3.178866 |
| 0.575576 | 3.176115 |
| 0.577553 | 3.173391 |
| 0.579537 | 3.170696 |
| 0.581528 | 3.168028 |
| 0.583525 | 3.165387 |
| 0.58553 | 3.162773 |
| 0.587541 | 3.160185 |
| 0.58956 | 3.157624 |
| 0.591585 | 3.155088 |
| 0.593617 | 3.152578 |
| 0.595656 | 3.150093 |
| 0.597702 | 3.147633 |
| 0.599755 | 3.145197 |
| 0.601816 | 3.142786 |
| 0.603883 | 3.140398 |
| 0.605957 | 3.138034 |
| 0.608039 | 3.135694 |
| 0.610128 | 3.133376 |
| 0.612224 | 3.131081 |
| 0.614327 | 3.128808 |
| 0.616437 | 3.126558 |
| 0.618555 | 3.124329 |
| 0.620679 | 3.122122 |
| 0.622812 | 3.119937 |
| 0.624951 | 3.117772 |
| 0.627098 | 3.115629 |
| 0.629252 | 3.113506 |
| 0.631414 | 3.111403 |
| 0.633583 | 3.10932 |
| 0.635759 | 3.107258 |
| 0.637943 | 3.105214 |
| 0.640134 | 3.103191 |
| 0.642333 | 3.101186 |
| 0.64454 | 3.0992 |
| 0.646754 | 3.097233 |
| 0.648976 | 3.095285 |
| 0.651205 | 3.093354 |
| 0.653442 | 3.091442 |
| 0.655687 | 3.089548 |
| 0.657939 | 3.087671 |
| 0.660199 | 3.085812 |
| 0.662467 | 3.08397 |
| 0.664743 | 3.082145 |
| 0.667026 | 3.080337 |
| 0.669317 | 3.078545 |
| 0.671617 | 3.07677 |
| 0.673924 | 3.075011 |
| 0.676239 | 3.073269 |
| 0.678562 | 3.071542 |
| 0.680893 | 3.069831 |
| 0.683232 | 3.068136 |
| 0.685579 | 3.066456 |
| 0.687934 | 3.064791 |
| 0.690297 | 3.063141 |
| 0.692668 | 3.061506 |
| 0.695048 | 3.059886 |
| 0.697435 | 3.05828 |
| 0.699831 | 3.056689 |
| 0.702235 | 3.055112 |
| 0.704647 | 3.053549 |
| 0.707068 | 3.052 |
| 0.709497 | 3.050465 |
| 0.711934 | 3.048943 |
| 0.71438 | 3.047435 |
| 0.716834 | 3.045941 |
| 0.719296 | 3.044459 |
| 0.721767 | 3.042991 |
| 0.724246 | 3.041535 |
| 0.726734 | 3.040092 |
| 0.729231 | 3.038662 |
| 0.731736 | 3.037245 |
| 0.734249 | 3.035839 |
| 0.736772 | 3.034446 |
| 0.739302 | 3.033065 |
| 0.741842 | 3.031697 |
| 0.74439 | 3.03034 |
| 0.746947 | 3.028994 |
| 0.749513 | 3.027661 |
| 0.752088 | 3.026339 |
| 0.754672 | 3.025028 |
| 0.757264 | 3.023729 |
| 0.759865 | 3.02244 |
| 0.762476 | 3.021163 |
| 0.765095 | 3.019897 |
| 0.767723 | 3.018641 |
| 0.77036 | 3.017397 |
| 0.773007 | 3.016162 |
| 0.775662 | 3.014939 |
| 0.778326 | 3.013725 |
| 0.781 | 3.012522 |
| 0.783683 | 3.01133 |
| 0.786375 | 3.010147 |
| 0.789076 | 3.008974 |
| 0.791787 | 3.007811 |
| 0.794507 | 3.006658 |
| 0.797236 | 3.005515 |
| 0.799975 | 3.004381 |
| 0.802723 | 3.003256 |
| 0.80548 | 3.002141 |
| 0.808247 | 3.001036 |
| 0.811024 | 2.999939 |
| 0.81381 | 2.998852 |
| 0.816605 | 2.997774 |
| 0.81941 | 2.996704 |
| 0.822225 | 2.995644 |
| 0.82505 | 2.994592 |
| 0.827884 | 2.993549 |
| 0.830728 | 2.992515 |
| 0.833581 | 2.991489 |
| 0.836445 | 2.990472 |
| 0.839318 | 2.989463 |
| 0.842201 | 2.988462 |
| 0.845094 | 2.987469 |
| 0.847997 | 2.986485 |
| 0.85091 | 2.985508 |
| 0.853833 | 2.98454 |
| 0.856766 | 2.983579 |
| 0.85971 | 2.982627 |
| 0.862663 | 2.981682 |
| 0.865626 | 2.980744 |
| 0.8686 | 2.979815 |
| 0.871584 | 2.978892 |
| 0.874578 | 2.977978 |
| 0.877582 | 2.97707 |
| 0.880596 | 2.97617 |
| 0.883621 | 2.975277 |
| 0.886657 | 2.974392 |
| 0.889703 | 2.973513 |
| 0.892759 | 2.972642 |
| 0.895826 | 2.971778 |
| 0.898903 | 2.97092 |
| 0.901991 | 2.970069 |
| 0.905089 | 2.969226 |
| 0.908198 | 2.968388 |
| 0.911318 | 2.967558 |
| 0.914449 | 2.966734 |
| 0.91759 | 2.965917 |
| 0.920742 | 2.965106 |
| 0.923905 | 2.964302 |
| 0.927079 | 2.963504 |
| 0.930263 | 2.962712 |
| 0.933459 | 2.961926 |
| 0.936665 | 2.961147 |
| 0.939883 | 2.960374 |
| 0.943112 | 2.959607 |
| 0.946351 | 2.958846 |
| 0.949602 | 2.958091 |
| 0.952864 | 2.957342 |
| 0.956138 | 2.956599 |
| 0.959422 | 2.955862 |
| 0.962718 | 2.95513 |
| 0.966025 | 2.954404 |
| 0.969343 | 2.953684 |
| 0.972673 | 2.952969 |
| 0.976014 | 2.95226 |
| 0.979367 | 2.951557 |
| 0.982731 | 2.950859 |
| 0.986107 | 2.950166 |
| 0.989495 | 2.949479 |
| 0.992894 | 2.948797 |
| 0.996304 | 2.94812 |
| 0.999727 | 2.947449 |
| 1.00316 | 2.946783 |
| 1.00661 | 2.946121 |
| 1.01007 | 2.945465 |
| 1.01353 | 2.944814 |
| 1.01702 | 2.944169 |
| 1.02051 | 2.943528 |
| 1.02402 | 2.942892 |
| 1.02753 | 2.94226 |
| 1.03106 | 2.941634 |
| 1.0346 | 2.941012 |
| 1.03816 | 2.940396 |
| 1.04173 | 2.939784 |
| 1.0453 | 2.939176 |
| 1.04889 | 2.938573 |
| 1.0525 | 2.937975 |
| 1.05611 | 2.937382 |
| 1.05974 | 2.936792 |
| 1.06338 | 2.936208 |
| 1.06703 | 2.935628 |
| 1.0707 | 2.935052 |
| 1.07438 | 2.93448 |
| 1.07807 | 2.933913 |
| 1.08177 | 2.93335 |
| 1.08549 | 2.932792 |
| 1.08922 | 2.932237 |
| 1.09296 | 2.931687 |
| 1.09671 | 2.931141 |
| 1.10048 | 2.930599 |
| 1.10426 | 2.930061 |
| 1.10805 | 2.929527 |
| 1.11186 | 2.928998 |
| 1.11568 | 2.928472 |
| 1.11951 | 2.92795 |
| 1.12336 | 2.927432 |
| 1.12722 | 2.926918 |
| 1.13109 | 2.926407 |
| 1.13497 | 2.925901 |
| 1.13887 | 2.925398 |
| 1.14278 | 2.924899 |
| 1.14671 | 2.924404 |
| 1.15065 | 2.923912 |
| 1.1546 | 2.923424 |
| 1.15857 | 2.92294 |
| 1.16255 | 2.922459 |
| 1.16654 | 2.921982 |
| 1.17055 | 2.921508 |
| 1.17457 | 2.921038 |
| 1.1786 | 2.920572 |
| 1.18265 | 2.920108 |
| 1.18672 | 2.919649 |
| 1.19079 | 2.919192 |
| 1.19488 | 2.918739 |
| 1.19899 | 2.918289 |
| 1.20311 | 2.917843 |
| 1.20724 | 2.9174 |
| 1.21139 | 2.91696 |
| 1.21555 | 2.916523 |
| 1.21972 | 2.91609 |
| 1.22391 | 2.915659 |
| 1.22812 | 2.915232 |
| 1.23234 | 2.914808 |
| 1.23657 | 2.914387 |
| 1.24082 | 2.913969 |
| 1.24508 | 2.913554 |
| 1.24936 | 2.913142 |
| 1.25365 | 2.912734 |
| 1.25796 | 2.912328 |
| 1.26228 | 2.911925 |
| 1.26661 | 2.911525 |
| 1.27096 | 2.911128 |
| 1.27533 | 2.910733 |
| 1.27971 | 2.910342 |
| 1.28411 | 2.909953 |
| 1.28852 | 2.909568 |
| 1.29294 | 2.909185 |
| 1.29739 | 2.908804 |
| 1.30184 | 2.908427 |
| 1.30631 | 2.908052 |
| 1.3108 | 2.90768 |
| 1.3153 | 2.907311 |
| 1.31982 | 2.906944 |
| 1.32436 | 2.90658 |
| 1.32891 | 2.906218 |
| 1.33347 | 2.905859 |
| 1.33805 | 2.905503 |
| 1.34265 | 2.905149 |
| 1.34726 | 2.904798 |
| 1.35189 | 2.904449 |
| 1.35653 | 2.904102 |
| 1.36119 | 2.903759 |
| 1.36587 | 2.903417 |
| 1.37056 | 2.903078 |
| 1.37527 | 2.902742 |
| 1.37999 | 2.902407 |
| 1.38473 | 2.902075 |
| 1.38949 | 2.901746 |
| 1.39426 | 2.901419 |
| 1.39905 | 2.901094 |
| 1.40386 | 2.900771 |
| 1.40868 | 2.900451 |
| 1.41352 | 2.900133 |
| 1.41837 | 2.899817 |
| 1.42325 | 2.899503 |
| 1.42814 | 2.899192 |
| 1.43304 | 2.898883 |
| 1.43796 | 2.898576 |
| 1.4429 | 2.898271 |
| 1.44786 | 2.897968 |
| 1.45283 | 2.897667 |
| 1.45783 | 2.897369 |
| 1.46283 | 2.897072 |
| 1.46786 | 2.896778 |
| 1.4729 | 2.896485 |
| 1.47796 | 2.896195 |
| 1.48304 | 2.895907 |
| 1.48813 | 2.89562 |
| 1.49324 | 2.895336 |
| 1.49837 | 2.895053 |
| 1.50352 | 2.894773 |
| 1.50869 | 2.894494 |
| 1.51387 | 2.894218 |
| 1.51907 | 2.893943 |
| 1.52429 | 2.89367 |
| 1.52952 | 2.893399 |
| 1.53478 | 2.89313 |
| 1.54005 | 2.892863 |
| 1.54534 | 2.892598 |
| 1.55065 | 2.892334 |
| 1.55597 | 2.892072 |
| 1.56132 | 2.891812 |
| 1.56668 | 2.891554 |
| 1.57206 | 2.891297 |
| 1.57746 | 2.891043 |
| 1.58288 | 2.89079 |
| 1.58832 | 2.890538 |
| 1.59378 | 2.890289 |
| 1.59925 | 2.890041 |
| 1.60475 | 2.889795 |
| 1.61026 | 2.88955 |
| 1.61579 | 2.889307 |
| 1.62134 | 2.889066 |
| 1.62691 | 2.888826 |
| 1.6325 | 2.888588 |
| 1.63811 | 2.888352 |
| 1.64373 | 2.888117 |
| 1.64938 | 2.887883 |
| 1.65505 | 2.887652 |
| 1.66073 | 2.887421 |
| 1.66644 | 2.887193 |
| 1.67216 | 2.886966 |
| 1.6779 | 2.88674 |
| 1.68367 | 2.886516 |
| 1.68945 | 2.886293 |
| 1.69526 | 2.886072 |
| 1.70108 | 2.885852 |
| 1.70692 | 2.885634 |
| 1.71279 | 2.885417 |
| 1.71867 | 2.885201 |
| 1.72457 | 2.884987 |
| 1.7305 | 2.884775 |
| 1.73644 | 2.884564 |
| 1.74241 | 2.884354 |
| 1.74839 | 2.884145 |
| 1.7544 | 2.883938 |
| 1.76043 | 2.883732 |
| 1.76647 | 2.883528 |
| 1.77254 | 2.883325 |
| 1.77863 | 2.883123 |
| 1.78474 | 2.882923 |
| 1.79087 | 2.882723 |
| 1.79702 | 2.882525 |
| 1.8032 | 2.882329 |
| 1.80939 | 2.882133 |
| 1.8156 | 2.881939 |
| 1.82184 | 2.881746 |
| 1.8281 | 2.881555 |
| 1.83438 | 2.881364 |
| 1.84068 | 2.881175 |
| 1.847 | 2.880987 |
| 1.85335 | 2.8808 |
| 1.85972 | 2.880614 |
| 1.8661 | 2.88043 |
| 1.87251 | 2.880247 |
| 1.87895 | 2.880064 |
| 1.8854 | 2.879883 |
| 1.89188 | 2.879704 |
| 1.89838 | 2.879525 |
| 1.9049 | 2.879347 |
| 1.91144 | 2.879171 |
| 1.91801 | 2.878995 |
| 1.9246 | 2.878821 |
| 1.93121 | 2.878647 |
| 1.93784 | 2.878475 |
| 1.9445 | 2.878304 |
| 1.95118 | 2.878134 |
| 1.95788 | 2.877965 |
| 1.96461 | 2.877797 |
| 1.97135 | 2.87763 |
| 1.97813 | 2.877464 |
| 1.98492 | 2.877299 |
| 1.99174 | 2.877135 |
| 1.99858 | 2.876972 |
| 2.00545 | 2.87681 |
| 2.01234 | 2.876649 |
| 2.01925 | 2.876489 |
| 2.02619 | 2.876329 |
| 2.03315 | 2.876171 |
| 2.04013 | 2.876014 |
| 2.04714 | 2.875858 |
| 2.05417 | 2.875702 |
| 2.06123 | 2.875548 |
| 2.06831 | 2.875394 |
| 2.07541 | 2.875242 |
| 2.08254 | 2.87509 |
| 2.0897 | 2.874939 |
| 2.09687 | 2.874789 |
| 2.10408 | 2.87464 |
| 2.1113 | 2.874492 |
| 2.11856 | 2.874344 |
| 2.12584 | 2.874198 |
| 2.13314 | 2.874052 |
| 2.14047 | 2.873907 |
| 2.14782 | 2.873763 |
| 2.1552 | 2.87362 |
| 2.1626 | 2.873477 |
| 2.17003 | 2.873336 |
| 2.17748 | 2.873195 |
| 2.18496 | 2.873055 |
| 2.19247 | 2.872916 |
| 2.2 | 2.872777 |
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
- —