Optical constants
Refractive index of GaAs (Gallium arsenide)
Papatryfonos et al. 2021: n,k 0.260–1.88 µm
- 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
- 3.89847
- Extinction coefficient k
- 0.247491
- Permittivity ε1
- 15.1368
- Permittivity ε2
- 1.92967
- Absorption coefficient α
- 52928.2 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 377.871 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.27828 µm⁻¹
- Group index ng
- 5.23719
- 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
# GaAs (Gallium arsenide): Papatryfonos et al. 2021: n,k 0.260–1.88 µm
gaas = ls.fetch_refractiveindex("main", "GaAs", "Papatryfonos", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gaas.range_nm) # (260.49, 1878.68) nm
eps = 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_3ef64be660b6/lightsmith"
gaas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gaas.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gaas/papatryfonos-2021).
# ... load gaas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=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.
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 | 3.43205 | 3.7041 |
| 0.26159 | 3.49606 | 3.64117 |
| 0.2627 | 3.55371 | 3.57757 |
| 0.26381 | 3.60654 | 3.51408 |
| 0.26494 | 3.65273 | 3.45129 |
| 0.26608 | 3.69534 | 3.38972 |
| 0.26723 | 3.73572 | 3.32935 |
| 0.26838 | 3.77466 | 3.27031 |
| 0.26955 | 3.81255 | 3.21369 |
| 0.27073 | 3.851 | 3.15591 |
| 0.27191 | 3.88906 | 3.09523 |
| 0.27311 | 3.9257 | 3.03074 |
| 0.27432 | 3.9592 | 2.96174 |
| 0.27554 | 3.98624 | 2.88868 |
| 0.27677 | 4.00656 | 2.81381 |
| 0.27801 | 4.02017 | 2.73806 |
| 0.27926 | 4.02559 | 2.66281 |
| 0.28053 | 4.0243 | 2.59006 |
| 0.2818 | 4.01657 | 2.52174 |
| 0.28309 | 4.00489 | 2.45728 |
| 0.28439 | 3.98902 | 2.39759 |
| 0.2857 | 3.9699 | 2.34234 |
| 0.28702 | 3.94939 | 2.29093 |
| 0.28835 | 3.92597 | 2.24486 |
| 0.2897 | 3.90179 | 2.20272 |
| 0.29106 | 3.87715 | 2.16454 |
| 0.29244 | 3.85202 | 2.1302 |
| 0.29382 | 3.82681 | 2.09947 |
| 0.29522 | 3.80272 | 2.07313 |
| 0.29663 | 3.77926 | 2.04943 |
| 0.29806 | 3.7566 | 2.02852 |
| 0.2995 | 3.73487 | 2.01023 |
| 0.30095 | 3.71427 | 1.99379 |
| 0.30242 | 3.69528 | 1.97977 |
| 0.3039 | 3.67681 | 1.96769 |
| 0.3054 | 3.6593 | 1.95727 |
| 0.30691 | 3.64294 | 1.94825 |
| 0.30844 | 3.62778 | 1.93981 |
| 0.30998 | 3.61349 | 1.93311 |
| 0.31154 | 3.60025 | 1.92791 |
| 0.31311 | 3.58797 | 1.92367 |
| 0.3147 | 3.57682 | 1.92011 |
| 0.31631 | 3.56678 | 1.91769 |
| 0.31793 | 3.55791 | 1.91633 |
| 0.31957 | 3.54997 | 1.91573 |
| 0.32122 | 3.54276 | 1.91584 |
| 0.3229 | 3.53647 | 1.91647 |
| 0.32459 | 3.53138 | 1.91829 |
| 0.3263 | 3.52709 | 1.92056 |
| 0.32802 | 3.52373 | 1.92347 |
| 0.32977 | 3.52125 | 1.92716 |
| 0.33153 | 3.51961 | 1.93129 |
| 0.33331 | 3.5191 | 1.93595 |
| 0.33512 | 3.51958 | 1.94137 |
| 0.33694 | 3.52105 | 1.94732 |
| 0.33878 | 3.52363 | 1.95364 |
| 0.34064 | 3.52704 | 1.96036 |
| 0.34252 | 3.53132 | 1.96789 |
| 0.34442 | 3.53694 | 1.97692 |
| 0.34635 | 3.5438 | 1.9842 |
| 0.34829 | 3.55161 | 1.99392 |
| 0.35026 | 3.56058 | 2.00292 |
| 0.35225 | 3.57093 | 2.0141 |
| 0.35426 | 3.58246 | 2.02527 |
| 0.3563 | 3.59541 | 2.03711 |
| 0.35836 | 3.60991 | 2.04836 |
| 0.36044 | 3.62589 | 2.05913 |
| 0.36255 | 3.64421 | 2.07072 |
| 0.36468 | 3.66468 | 2.08308 |
| 0.36684 | 3.68747 | 2.09605 |
| 0.36903 | 3.71315 | 2.1096 |
| 0.37124 | 3.74297 | 2.12445 |
| 0.37347 | 3.77707 | 2.14027 |
| 0.37574 | 3.81787 | 2.15726 |
| 0.37803 | 3.86684 | 2.17578 |
| 0.38035 | 3.92505 | 2.19609 |
| 0.38269 | 3.99982 | 2.21797 |
| 0.38507 | 4.0867 | 2.24157 |
| 0.38748 | 4.17867 | 2.26621 |
| 0.38991 | 4.26329 | 2.29044 |
| 0.39238 | 4.32937 | 2.30642 |
| 0.39488 | 4.37664 | 2.30637 |
| 0.39741 | 4.4124 | 2.28487 |
| 0.39998 | 4.44075 | 2.24214 |
| 0.40257 | 4.46702 | 2.18391 |
| 0.4052 | 4.49714 | 2.12482 |
| 0.40787 | 4.54333 | 2.07205 |
| 0.41057 | 4.61656 | 2.02894 |
| 0.41331 | 4.72058 | 1.99759 |
| 0.41608 | 4.85265 | 1.97753 |
| 0.41889 | 4.96468 | 1.97061 |
| 0.42174 | 5.02373 | 1.96602 |
| 0.42463 | 5.03903 | 1.94662 |
| 0.42756 | 5.02004 | 1.88758 |
| 0.43053 | 4.98074 | 1.74458 |
| 0.43354 | 4.93203 | 1.57944 |
| 0.43659 | 4.88076 | 1.41707 |
| 0.43969 | 4.82963 | 1.27015 |
| 0.44283 | 4.77962 | 1.1461 |
| 0.44602 | 4.73089 | 1.04502 |
| 0.44925 | 4.68558 | 0.96139 |
| 0.45253 | 4.64157 | 0.88984 |
| 0.45586 | 4.59938 | 0.82811 |
| 0.45923 | 4.55929 | 0.77575 |
| 0.46266 | 4.52144 | 0.72864 |
| 0.46614 | 4.48543 | 0.68803 |
| 0.46967 | 4.45063 | 0.65136 |
| 0.47325 | 4.41771 | 0.61693 |
| 0.47689 | 4.38605 | 0.58693 |
| 0.48059 | 4.35607 | 0.55997 |
| 0.48435 | 4.32739 | 0.53611 |
| 0.48816 | 4.29988 | 0.5135 |
| 0.49203 | 4.27343 | 0.49171 |
| 0.49597 | 4.24774 | 0.47208 |
| 0.49997 | 4.2232 | 0.45338 |
| 0.50403 | 4.19966 | 0.4363 |
| 0.50817 | 4.17705 | 0.4206 |
| 0.51237 | 4.15524 | 0.40518 |
| 0.51664 | 4.13387 | 0.39199 |
| 0.52098 | 4.11371 | 0.37923 |
| 0.52539 | 4.09432 | 0.36641 |
| 0.52988 | 4.07533 | 0.35375 |
| 0.53445 | 4.05701 | 0.34279 |
| 0.5391 | 4.03901 | 0.33067 |
| 0.54383 | 4.02185 | 0.31902 |
| 0.54864 | 4.00542 | 0.30875 |
| 0.55354 | 3.98939 | 0.29875 |
| 0.55853 | 3.97389 | 0.29126 |
| 0.5636 | 3.95906 | 0.2836 |
| 0.56877 | 3.94467 | 0.2749 |
| 0.57404 | 3.93106 | 0.26662 |
| 0.5794 | 3.91783 | 0.25837 |
| 0.58487 | 3.90469 | 0.25075 |
| 0.59044 | 3.892 | 0.2441 |
| 0.59612 | 3.87986 | 0.23583 |
| 0.60191 | 3.86815 | 0.22718 |
| 0.60781 | 3.85669 | 0.21839 |
| 0.61382 | 3.84603 | 0.2134 |
| 0.61996 | 3.83524 | 0.20777 |
| 0.62623 | 3.82498 | 0.20158 |
| 0.63262 | 3.81546 | 0.19582 |
| 0.63914 | 3.8069 | 0.18955 |
| 0.64579 | 3.79813 | 0.18349 |
| 0.65259 | 3.79034 | 0.17806 |
| 0.65954 | 3.78184 | 0.17258 |
| 0.66663 | 3.77177 | 0.1659 |
| 0.67387 | 3.75979 | 0.15926 |
| 0.68128 | 3.74792 | 0.15184 |
| 0.68885 | 3.73689 | 0.14303 |
| 0.69659 | 3.72659 | 0.13312 |
| 0.7045 | 3.71666 | 0.12505 |
| 0.7126 | 3.70768 | 0.11871 |
| 0.72089 | 3.70001 | 0.11334 |
| 0.72937 | 3.69257 | 0.10851 |
| 0.73805 | 3.68538 | 0.10395 |
| 0.74694 | 3.67856 | 0.10023 |
| 0.75605 | 3.67249 | 0.09595 |
| 0.76539 | 3.66659 | 0.09163 |
| 0.77495 | 3.6613 | 0.08711 |
| 0.78476 | 3.65752 | 0.08192 |
| 0.79482 | 3.65601 | 0.07803 |
| 0.80515 | 3.64806 | 0.07331 |
| 0.81574 | 3.62635 | 0.06757 |
| 0.82662 | 3.60509 | 0.06025 |
| 0.83779 | 3.58756 | 0.05009 |
| 0.84926 | 3.57142 | 0.02512 |
| 0.86106 | 3.56115 | 0.01144 |
| 0.87319 | 3.55095 | 0.0061 |
| 0.88566 | 3.54215 | 0.00405 |
| 0.8985 | 3.53347 | 0.0002024 |
| 0.91171 | 3.52476 | 9.71111e-05 |
| 0.92532 | 3.51557 | 6.13333e-06 |
| 0.93934 | 3.50642 | 0.0 |
| 0.95379 | 3.49757 | 0.0 |
| 0.96869 | 3.48877 | 0.0 |
| 0.98407 | 3.4801 | 0.0 |
| 0.99994 | 3.47343 | 0.0 |
| 1.01633 | 3.46678 | 0.0 |
| 1.03327 | 3.46037 | 0.0 |
| 1.05078 | 3.45399 | 0.0 |
| 1.0689 | 3.44767 | 0.0 |
| 1.08765 | 3.4425 | 0.0 |
| 1.10708 | 3.43736 | 0.0 |
| 1.12721 | 3.43236 | 0.0 |
| 1.14808 | 3.4274 | 0.0 |
| 1.16974 | 3.42251 | 0.0 |
| 1.19224 | 3.41848 | 0.0 |
| 1.21561 | 3.41446 | 0.0 |
| 1.23993 | 3.41057 | 0.0 |
| 1.26523 | 3.40731 | 0.0 |
| 1.29159 | 3.40587 | 0.0 |
| 1.31907 | 3.40247 | 0.0 |
| 1.34775 | 3.39611 | 0.0 |
| 1.3777 | 3.39284 | 0.0 |
| 1.40901 | 3.38961 | 0.0 |
| 1.44177 | 3.38641 | 0.0 |
| 1.4761 | 3.38363 | 0.0 |
| 1.5121 | 3.38078 | 0.0 |
| 1.54991 | 3.37793 | 0.0 |
| 1.58965 | 3.37534 | 0.0 |
| 1.63148 | 3.37799 | 0.0 |
| 1.67558 | 3.37666 | 0.0 |
| 1.72212 | 3.37408 | 0.0 |
| 1.77132 | 3.3714 | 0.0 |
| 1.82342 | 3.36872 | 0.0 |
| 1.87868 | 3.36654 | 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
- —