Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Papatryfonos et al. 2021: n,k 0.260–1.88 µm; 21.9% 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
- 3.78735
- Extinction coefficient k
- 0.165677
- Permittivity ε1
- 14.3166
- Permittivity ε2
- 1.25495
- Absorption coefficient α
- 35431.5 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 564.469 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.69479 µm⁻¹
- Group index ng
- 4.78321
- 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; 21.9% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Papatryfonos-21.9", 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_9ffcd5de1d03/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-2021-21-9).
# ... 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 | 3.40984 | 3.75916 |
| 0.26159 | 3.49239 | 3.69956 |
| 0.2627 | 3.56937 | 3.63592 |
| 0.26381 | 3.64125 | 3.56879 |
| 0.26494 | 3.70563 | 3.50007 |
| 0.26608 | 3.76631 | 3.42872 |
| 0.26723 | 3.82429 | 3.3541 |
| 0.26838 | 3.87787 | 3.27574 |
| 0.26955 | 3.92368 | 3.19312 |
| 0.27073 | 3.96238 | 3.10748 |
| 0.27191 | 3.99087 | 3.02132 |
| 0.27311 | 4.01156 | 2.93575 |
| 0.27432 | 4.02562 | 2.85197 |
| 0.27554 | 4.03396 | 2.77073 |
| 0.27677 | 4.03366 | 2.69338 |
| 0.27801 | 4.02874 | 2.62002 |
| 0.27926 | 4.0194 | 2.55084 |
| 0.28053 | 4.00607 | 2.48619 |
| 0.2818 | 3.98956 | 2.42565 |
| 0.28309 | 3.97029 | 2.36954 |
| 0.28439 | 3.9493 | 2.31862 |
| 0.2857 | 3.92694 | 2.27233 |
| 0.28702 | 3.90356 | 2.22991 |
| 0.28835 | 3.87955 | 2.1912 |
| 0.2897 | 3.85538 | 2.1565 |
| 0.29106 | 3.83178 | 2.12542 |
| 0.29244 | 3.8087 | 2.09804 |
| 0.29382 | 3.78665 | 2.07315 |
| 0.29522 | 3.76563 | 2.05051 |
| 0.29663 | 3.74525 | 2.03053 |
| 0.29806 | 3.72657 | 2.01318 |
| 0.2995 | 3.70825 | 1.99764 |
| 0.30095 | 3.69095 | 1.98388 |
| 0.30242 | 3.67478 | 1.97179 |
| 0.3039 | 3.65962 | 1.96121 |
| 0.3054 | 3.64531 | 1.9519 |
| 0.30691 | 3.63225 | 1.94385 |
| 0.30844 | 3.62009 | 1.93694 |
| 0.30998 | 3.60856 | 1.9311 |
| 0.31154 | 3.59787 | 1.92637 |
| 0.31311 | 3.58891 | 1.92254 |
| 0.3147 | 3.5807 | 1.9198 |
| 0.31631 | 3.57339 | 1.91778 |
| 0.31793 | 3.56712 | 1.9165 |
| 0.31957 | 3.5619 | 1.9161 |
| 0.32122 | 3.55719 | 1.91652 |
| 0.3229 | 3.55361 | 1.91772 |
| 0.32459 | 3.55107 | 1.91963 |
| 0.3263 | 3.54953 | 1.92194 |
| 0.32802 | 3.54884 | 1.92474 |
| 0.32977 | 3.54893 | 1.92884 |
| 0.33153 | 3.55059 | 1.93325 |
| 0.33331 | 3.55307 | 1.9384 |
| 0.33512 | 3.55646 | 1.94417 |
| 0.33694 | 3.56086 | 1.95053 |
| 0.33878 | 3.56653 | 1.95756 |
| 0.34064 | 3.57321 | 1.96531 |
| 0.34252 | 3.58145 | 1.97361 |
| 0.34442 | 3.59087 | 1.98265 |
| 0.34635 | 3.60173 | 1.99243 |
| 0.34829 | 3.61444 | 2.0029 |
| 0.35026 | 3.62867 | 2.01457 |
| 0.35225 | 3.64532 | 2.02756 |
| 0.35426 | 3.66382 | 2.04126 |
| 0.3563 | 3.68451 | 2.05575 |
| 0.35836 | 3.70823 | 2.0714 |
| 0.36044 | 3.73615 | 2.08808 |
| 0.36255 | 3.7686 | 2.10633 |
| 0.36468 | 3.80704 | 2.12527 |
| 0.36684 | 3.85305 | 2.14391 |
| 0.36903 | 3.90824 | 2.15992 |
| 0.37124 | 3.97336 | 2.17031 |
| 0.37347 | 4.04877 | 2.16539 |
| 0.37574 | 4.12459 | 2.14605 |
| 0.37803 | 4.19489 | 2.11283 |
| 0.38035 | 4.25534 | 2.07018 |
| 0.38269 | 4.30473 | 2.02389 |
| 0.38507 | 4.34398 | 1.98046 |
| 0.38748 | 4.37873 | 1.94294 |
| 0.38991 | 4.4139 | 1.91283 |
| 0.39238 | 4.45436 | 1.88926 |
| 0.39488 | 4.50543 | 1.86982 |
| 0.39741 | 4.57946 | 1.84674 |
| 0.39998 | 4.67147 | 1.80055 |
| 0.40257 | 4.76442 | 1.71997 |
| 0.4052 | 4.84231 | 1.60741 |
| 0.40787 | 4.8905 | 1.47166 |
| 0.41057 | 4.90118 | 1.3346 |
| 0.41331 | 4.88259 | 1.21627 |
| 0.41608 | 4.85166 | 1.11261 |
| 0.41889 | 4.8137 | 1.02179 |
| 0.42174 | 4.77189 | 0.94243 |
| 0.42463 | 4.72855 | 0.87513 |
| 0.42756 | 4.68516 | 0.81632 |
| 0.43053 | 4.6423 | 0.76459 |
| 0.43354 | 4.6006 | 0.71908 |
| 0.43659 | 4.56054 | 0.67916 |
| 0.43969 | 4.52209 | 0.64252 |
| 0.44283 | 4.48523 | 0.60952 |
| 0.44602 | 4.44958 | 0.58092 |
| 0.44925 | 4.41538 | 0.55337 |
| 0.45253 | 4.38253 | 0.52685 |
| 0.45586 | 4.35098 | 0.50339 |
| 0.45923 | 4.32034 | 0.48322 |
| 0.46266 | 4.29133 | 0.46381 |
| 0.46614 | 4.26322 | 0.44582 |
| 0.46967 | 4.23629 | 0.42862 |
| 0.47325 | 4.21085 | 0.41185 |
| 0.47689 | 4.18566 | 0.3961 |
| 0.48059 | 4.1619 | 0.38182 |
| 0.48435 | 4.13876 | 0.36834 |
| 0.48816 | 4.11631 | 0.35565 |
| 0.49203 | 4.09476 | 0.34323 |
| 0.49597 | 4.07451 | 0.32966 |
| 0.49997 | 4.05484 | 0.31811 |
| 0.50403 | 4.03571 | 0.30649 |
| 0.50817 | 4.01676 | 0.29669 |
| 0.51237 | 3.99828 | 0.28828 |
| 0.51664 | 3.98083 | 0.27844 |
| 0.52098 | 3.96396 | 0.26835 |
| 0.52539 | 3.94746 | 0.25805 |
| 0.52988 | 3.9313 | 0.25024 |
| 0.53445 | 3.91583 | 0.24324 |
| 0.5391 | 3.90111 | 0.23509 |
| 0.54383 | 3.8869 | 0.22708 |
| 0.54864 | 3.87292 | 0.22007 |
| 0.55354 | 3.85968 | 0.2128 |
| 0.55853 | 3.84712 | 0.20533 |
| 0.5636 | 3.83502 | 0.19797 |
| 0.56877 | 3.82307 | 0.19134 |
| 0.57404 | 3.81226 | 0.18439 |
| 0.5794 | 3.8018 | 0.17786 |
| 0.58487 | 3.79198 | 0.17023 |
| 0.59044 | 3.78254 | 0.16094 |
| 0.59612 | 3.77233 | 0.15106 |
| 0.60191 | 3.7597 | 0.14067 |
| 0.60781 | 3.74621 | 0.13332 |
| 0.61382 | 3.73305 | 0.12728 |
| 0.61996 | 3.72061 | 0.12186 |
| 0.62623 | 3.70867 | 0.11671 |
| 0.63262 | 3.69642 | 0.11205 |
| 0.63914 | 3.68485 | 0.10855 |
| 0.64579 | 3.67456 | 0.10532 |
| 0.65259 | 3.66512 | 0.10221 |
| 0.65954 | 3.65603 | 0.09904 |
| 0.66663 | 3.64825 | 0.09548 |
| 0.67387 | 3.64243 | 0.0912 |
| 0.68128 | 3.63655 | 0.08611 |
| 0.68885 | 3.6334 | 0.08048 |
| 0.69659 | 3.63413 | 0.07034 |
| 0.7045 | 3.63939 | 0.048 |
| 0.7126 | 3.61798 | 0.01605 |
| 0.72089 | 3.59832 | 0.00522 |
| 0.72937 | 3.57879 | 0.00297 |
| 0.73805 | 3.55925 | 0.00191 |
| 0.74694 | 3.54133 | 0.00122 |
| 0.75605 | 3.53059 | 0.00169 |
| 0.76539 | 3.52043 | 0.00183 |
| 0.77495 | 3.50676 | 0.00163 |
| 0.78476 | 3.49185 | 0.00113 |
| 0.79482 | 3.48217 | 0.000629 |
| 0.80515 | 3.47239 | 0.000107 |
| 0.81574 | 3.46304 | 0.0 |
| 0.82662 | 3.45738 | 0.0 |
| 0.83779 | 3.45286 | 0.0 |
| 0.84926 | 3.44305 | 0.0 |
| 0.86106 | 3.43508 | 0.0 |
| 0.87319 | 3.43032 | 0.0 |
| 0.88566 | 3.42311 | 0.0 |
| 0.8985 | 3.41437 | 0.0 |
| 0.91171 | 3.41094 | 0.0 |
| 0.92532 | 3.40352 | 0.0 |
| 0.93934 | 3.39662 | 0.0 |
| 0.95379 | 3.39028 | 0.0 |
| 0.96869 | 3.3843 | 0.0 |
| 0.98407 | 3.37835 | 0.0 |
| 0.99994 | 3.37246 | 0.0 |
| 1.01633 | 3.36695 | 0.0 |
| 1.03327 | 3.36185 | 0.0 |
| 1.05078 | 3.35701 | 0.0 |
| 1.0689 | 3.35221 | 0.0 |
| 1.08765 | 3.34744 | 0.0 |
| 1.10708 | 3.34296 | 0.0 |
| 1.12721 | 3.33875 | 0.0 |
| 1.14808 | 3.33471 | 0.0 |
| 1.16974 | 3.3307 | 0.0 |
| 1.19224 | 3.32673 | 0.0 |
| 1.21561 | 3.32298 | 0.0 |
| 1.23993 | 3.31943 | 0.0 |
| 1.26523 | 3.31601 | 0.0 |
| 1.29159 | 3.30863 | 0.0 |
| 1.31907 | 3.30327 | 0.0 |
| 1.34775 | 3.30611 | 0.0 |
| 1.3777 | 3.30316 | 0.0 |
| 1.40901 | 3.30035 | 0.0 |
| 1.44177 | 3.29755 | 0.0 |
| 1.4761 | 3.29477 | 0.0 |
| 1.5121 | 3.29215 | 0.0 |
| 1.54991 | 3.28365 | 0.0 |
| 1.58965 | 3.28525 | 0.0 |
| 1.63148 | 3.28488 | 0.0 |
| 1.67558 | 3.28251 | 0.0 |
| 1.72212 | 3.2803 | 0.0 |
| 1.77132 | 3.27821 | 0.0 |
| 1.82342 | 3.2781 | 0.0 |
| 1.87868 | 3.27582 | 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 = 0.219