Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Papatryfonos et al. 2021: n,k 0.260–1.88 µm; 9.7% Al
- Data
- tabulated nk
- Range
- 0.2605–1.879 µm
- Points
- 206
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.84711
- Extinction coefficient k
- 0.20205
- Permittivity ε1
- 14.7594
- Permittivity ε2
- 1.55462
- Absorption coefficient α
- 43210.4 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 462.852 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.02693 µm⁻¹
- Group index ng
- 5.03813
- 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): Papatryfonos et al. 2021: n,k 0.260–1.88 µm; 9.7% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Papatryfonos-9.7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas_gaas.range_nm) # (260.49, 1878.68) 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_2a6dbbd4a5c4/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/papatryfonos-2021-9-7).
# ... 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
- doi:10.1063/5.0039631 Refractive indices of MBE-grown AlxGa(1−<i>x</i>)As ternary alloys in the transparent wavelength region, AIP Advances (2021)
Cite
Konstantinos Papatryfonos et al.. Refractive indices of MBE-grown AlxGa(1−<i>x</i>)As ternary alloys in the transparent wavelength region. AIP Advances, 11, 025327 (2021), doi:10.1063/5.0039631; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
206 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.26049 | 3.50325 | 3.71369 |
| 0.26159 | 3.5694 | 3.6508 |
| 0.2627 | 3.63061 | 3.58686 |
| 0.26381 | 3.68481 | 3.52288 |
| 0.26494 | 3.73537 | 3.45923 |
| 0.26608 | 3.78349 | 3.39711 |
| 0.26723 | 3.82887 | 3.33627 |
| 0.26838 | 3.87025 | 3.27683 |
| 0.26955 | 3.90881 | 3.21988 |
| 0.27073 | 3.94266 | 3.16123 |
| 0.27191 | 3.97228 | 3.09865 |
| 0.27311 | 3.99722 | 3.03144 |
| 0.27432 | 4.01604 | 2.9594 |
| 0.27554 | 4.02728 | 2.88361 |
| 0.27677 | 4.03274 | 2.80696 |
| 0.27801 | 4.03167 | 2.73069 |
| 0.27926 | 4.02508 | 2.65584 |
| 0.28053 | 4.01349 | 2.58381 |
| 0.2818 | 3.99847 | 2.51607 |
| 0.28309 | 3.98034 | 2.45253 |
| 0.28439 | 3.9598 | 2.39384 |
| 0.2857 | 3.93802 | 2.33936 |
| 0.28702 | 3.91435 | 2.28867 |
| 0.28835 | 3.89017 | 2.24294 |
| 0.2897 | 3.86599 | 2.20155 |
| 0.29106 | 3.84176 | 2.16412 |
| 0.29244 | 3.81794 | 2.13033 |
| 0.29382 | 3.7952 | 2.0998 |
| 0.29522 | 3.7731 | 2.07364 |
| 0.29663 | 3.75219 | 2.05025 |
| 0.29806 | 3.73196 | 2.02973 |
| 0.2995 | 3.71281 | 2.01164 |
| 0.30095 | 3.69506 | 1.9952 |
| 0.30242 | 3.67805 | 1.98122 |
| 0.3039 | 3.66194 | 1.96931 |
| 0.3054 | 3.64704 | 1.95906 |
| 0.30691 | 3.6332 | 1.94998 |
| 0.30844 | 3.62012 | 1.94135 |
| 0.30998 | 3.608 | 1.93479 |
| 0.31154 | 3.59718 | 1.92967 |
| 0.31311 | 3.58733 | 1.92536 |
| 0.3147 | 3.57849 | 1.9218 |
| 0.31631 | 3.57236 | 1.9192 |
| 0.31793 | 3.56652 | 1.91787 |
| 0.31957 | 3.56241 | 1.9173 |
| 0.32122 | 3.55881 | 1.91736 |
| 0.3229 | 3.55434 | 1.91804 |
| 0.32459 | 3.55056 | 1.91976 |
| 0.3263 | 3.54928 | 1.92197 |
| 0.32802 | 3.54673 | 1.92494 |
| 0.32977 | 3.54714 | 1.92856 |
| 0.33153 | 3.54665 | 1.93264 |
| 0.33331 | 3.54831 | 1.9384 |
| 0.33512 | 3.55014 | 1.94417 |
| 0.33694 | 3.55213 | 1.95053 |
| 0.33878 | 3.55415 | 1.95756 |
| 0.34064 | 3.55858 | 1.96531 |
| 0.34252 | 3.56347 | 1.97361 |
| 0.34442 | 3.56819 | 1.98265 |
| 0.34635 | 3.57406 | 1.99113 |
| 0.34829 | 3.58284 | 2.0009 |
| 0.35026 | 3.59287 | 2.01356 |
| 0.35225 | 3.60597 | 2.02645 |
| 0.35426 | 3.6182 | 2.03971 |
| 0.3563 | 3.63185 | 2.05251 |
| 0.35836 | 3.64835 | 2.06587 |
| 0.36044 | 3.67004 | 2.08052 |
| 0.36255 | 3.69176 | 2.09624 |
| 0.36468 | 3.72468 | 2.11337 |
| 0.36684 | 3.75113 | 2.132 |
| 0.36903 | 3.79157 | 2.15201 |
| 0.37124 | 3.84758 | 2.17382 |
| 0.37347 | 3.90359 | 2.19726 |
| 0.37574 | 3.95878 | 2.22084 |
| 0.37803 | 4.0439 | 2.24151 |
| 0.38035 | 4.11931 | 2.25439 |
| 0.38269 | 4.19513 | 2.24548 |
| 0.38507 | 4.26543 | 2.21535 |
| 0.38748 | 4.32588 | 2.16793 |
| 0.38991 | 4.37527 | 2.11065 |
| 0.39238 | 4.41452 | 2.05419 |
| 0.39488 | 4.44927 | 2.00693 |
| 0.39741 | 4.48444 | 1.9705 |
| 0.39998 | 4.5249 | 1.94392 |
| 0.40257 | 4.57597 | 1.92746 |
| 0.4052 | 4.65 | 1.92268 |
| 0.40787 | 4.74201 | 1.91555 |
| 0.41057 | 4.83496 | 1.87649 |
| 0.41331 | 4.91285 | 1.78557 |
| 0.41608 | 4.96104 | 1.64194 |
| 0.41889 | 4.97172 | 1.47729 |
| 0.42174 | 4.95122 | 1.32606 |
| 0.42463 | 4.90149 | 1.19562 |
| 0.42756 | 4.84063 | 1.08404 |
| 0.43053 | 4.795 | 0.98889 |
| 0.43354 | 4.74866 | 0.91145 |
| 0.43659 | 4.70311 | 0.84676 |
| 0.43969 | 4.65889 | 0.79113 |
| 0.44283 | 4.61591 | 0.74178 |
| 0.44602 | 4.57549 | 0.69666 |
| 0.44925 | 4.53639 | 0.65933 |
| 0.45253 | 4.49888 | 0.62376 |
| 0.45586 | 4.46295 | 0.59215 |
| 0.45923 | 4.42899 | 0.56369 |
| 0.46266 | 4.39646 | 0.53844 |
| 0.46614 | 4.36511 | 0.51598 |
| 0.46967 | 4.33549 | 0.49399 |
| 0.47325 | 4.30668 | 0.47342 |
| 0.47689 | 4.27944 | 0.45423 |
| 0.48059 | 4.25319 | 0.43591 |
| 0.48435 | 4.22791 | 0.42029 |
| 0.48816 | 4.20362 | 0.40481 |
| 0.49203 | 4.18031 | 0.39074 |
| 0.49597 | 4.15792 | 0.37806 |
| 0.49997 | 4.13632 | 0.36575 |
| 0.50403 | 4.11532 | 0.35277 |
| 0.50817 | 4.09498 | 0.34125 |
| 0.51237 | 4.07533 | 0.32955 |
| 0.51664 | 4.05662 | 0.3173 |
| 0.52098 | 4.0385 | 0.30665 |
| 0.52539 | 4.02076 | 0.29637 |
| 0.52988 | 4.00369 | 0.28814 |
| 0.53445 | 3.98713 | 0.28094 |
| 0.5391 | 3.97127 | 0.27334 |
| 0.54383 | 3.95592 | 0.26463 |
| 0.54864 | 3.94112 | 0.25646 |
| 0.55354 | 3.92691 | 0.24848 |
| 0.55853 | 3.91328 | 0.24151 |
| 0.5636 | 3.89997 | 0.23458 |
| 0.56877 | 3.88759 | 0.22493 |
| 0.57404 | 3.87558 | 0.21643 |
| 0.5794 | 3.8639 | 0.20993 |
| 0.58487 | 3.85264 | 0.20505 |
| 0.59044 | 3.84135 | 0.19893 |
| 0.59612 | 3.82923 | 0.19357 |
| 0.60191 | 3.81688 | 0.18771 |
| 0.60781 | 3.80512 | 0.18156 |
| 0.61382 | 3.7936 | 0.17567 |
| 0.61996 | 3.7826 | 0.1707 |
| 0.62623 | 3.77188 | 0.16374 |
| 0.63262 | 3.762 | 0.15686 |
| 0.63914 | 3.75256 | 0.14955 |
| 0.64579 | 3.74404 | 0.14123 |
| 0.65259 | 3.73528 | 0.13079 |
| 0.65954 | 3.72621 | 0.1227 |
| 0.66663 | 3.71722 | 0.11607 |
| 0.67387 | 3.70985 | 0.11058 |
| 0.68128 | 3.70272 | 0.1059 |
| 0.68885 | 3.69415 | 0.10162 |
| 0.69659 | 3.68671 | 0.09815 |
| 0.7045 | 3.67846 | 0.09442 |
| 0.7126 | 3.67115 | 0.09044 |
| 0.72089 | 3.66355 | 0.08652 |
| 0.72937 | 3.65977 | 0.08167 |
| 0.73805 | 3.6651 | 0.07812 |
| 0.74694 | 3.66943 | 0.07405 |
| 0.75605 | 3.65846 | 0.06924 |
| 0.76539 | 3.63048 | 0.06332 |
| 0.77495 | 3.61301 | 0.05471 |
| 0.78476 | 3.59749 | 0.03114 |
| 0.79482 | 3.58185 | 0.01415 |
| 0.80515 | 3.56993 | 0.00675 |
| 0.81574 | 3.55819 | 0.00528 |
| 0.82662 | 3.5489 | 0.000797 |
| 0.83779 | 3.54009 | 7.1e-05 |
| 0.84926 | 3.52674 | 1.6e-05 |
| 0.86106 | 3.51648 | 0.0 |
| 0.87319 | 3.50667 | 0.0 |
| 0.88566 | 3.49857 | 0.0 |
| 0.8985 | 3.48987 | 0.0 |
| 0.91171 | 3.48348 | 0.0 |
| 0.92532 | 3.47507 | 0.0 |
| 0.93934 | 3.46691 | 0.0 |
| 0.95379 | 3.45916 | 0.0 |
| 0.96869 | 3.4516 | 0.0 |
| 0.98407 | 3.44413 | 0.0 |
| 0.99994 | 3.4378 | 0.0 |
| 1.01633 | 3.43165 | 0.0 |
| 1.03327 | 3.42582 | 0.0 |
| 1.05078 | 3.42012 | 0.0 |
| 1.0689 | 3.41447 | 0.0 |
| 1.08765 | 3.40947 | 0.0 |
| 1.10708 | 3.40462 | 0.0 |
| 1.12721 | 3.39997 | 0.0 |
| 1.14808 | 3.39542 | 0.0 |
| 1.16974 | 3.39091 | 0.0 |
| 1.19224 | 3.38691 | 0.0 |
| 1.21561 | 3.38301 | 0.0 |
| 1.23993 | 3.37926 | 0.0 |
| 1.26523 | 3.3756 | 0.0 |
| 1.29159 | 3.37196 | 0.0 |
| 1.31907 | 3.36858 | 0.0 |
| 1.34775 | 3.36531 | 0.0 |
| 1.3777 | 3.36218 | 0.0 |
| 1.40901 | 3.35914 | 0.0 |
| 1.44177 | 3.35611 | 0.0 |
| 1.4761 | 3.35333 | 0.0 |
| 1.5121 | 3.35058 | 0.0 |
| 1.54991 | 3.34349 | 0.0 |
| 1.58965 | 3.34538 | 0.0 |
| 1.63148 | 3.34582 | 0.0 |
| 1.67558 | 3.34403 | 0.0 |
| 1.72212 | 3.34162 | 0.0 |
| 1.77132 | 3.3392 | 0.0 |
| 1.82342 | 3.33765 | 0.0 |
| 1.87868 | 3.33542 | 0.0 |
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 = 0.097