Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Papatryfonos et al. 2021: n,k 0.260–1.88 µm; 41.1% 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
- 3.7035
- Extinction coefficient k
- 0.123709
- Permittivity ε1
- 13.7006
- Permittivity ε2
- 0.91631
- Absorption coefficient α
- 26456.2 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 755.965 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.18671 µm⁻¹
- Group index ng
- 4.98841
- 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; 41.1% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Papatryfonos-41.1", 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_9c8eb0e4c969/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-2021-41-1).
# ... 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 | 3.49781 | 3.77635 |
| 0.26159 | 3.59669 | 3.71488 |
| 0.2627 | 3.68929 | 3.64363 |
| 0.26381 | 3.77408 | 3.56208 |
| 0.26494 | 3.84972 | 3.47119 |
| 0.26608 | 3.91493 | 3.37515 |
| 0.26723 | 3.96851 | 3.27675 |
| 0.26838 | 4.01132 | 3.1775 |
| 0.26955 | 4.04361 | 3.07892 |
| 0.27073 | 4.06593 | 2.98281 |
| 0.27191 | 4.07915 | 2.89024 |
| 0.27311 | 4.08474 | 2.8018 |
| 0.27432 | 4.08359 | 2.71787 |
| 0.27554 | 4.07685 | 2.6398 |
| 0.27677 | 4.06539 | 2.56701 |
| 0.27801 | 4.05001 | 2.49944 |
| 0.27926 | 4.03173 | 2.43767 |
| 0.28053 | 4.01123 | 2.38102 |
| 0.2818 | 3.98921 | 2.33061 |
| 0.28309 | 3.96632 | 2.28445 |
| 0.28439 | 3.94306 | 2.24229 |
| 0.2857 | 3.91954 | 2.20409 |
| 0.28702 | 3.89627 | 2.16985 |
| 0.28835 | 3.87348 | 2.13903 |
| 0.2897 | 3.85127 | 2.11114 |
| 0.29106 | 3.82989 | 2.08594 |
| 0.29244 | 3.80955 | 2.06332 |
| 0.29382 | 3.79031 | 2.04347 |
| 0.29522 | 3.77215 | 2.02575 |
| 0.29663 | 3.75503 | 2.0097 |
| 0.29806 | 3.73912 | 1.99536 |
| 0.2995 | 3.72417 | 1.98277 |
| 0.30095 | 3.71018 | 1.97155 |
| 0.30242 | 3.69719 | 1.96175 |
| 0.3039 | 3.68521 | 1.95319 |
| 0.3054 | 3.6741 | 1.94578 |
| 0.30691 | 3.66405 | 1.93944 |
| 0.30844 | 3.65497 | 1.93432 |
| 0.30998 | 3.64683 | 1.92972 |
| 0.31154 | 3.63972 | 1.92611 |
| 0.31311 | 3.63355 | 1.92351 |
| 0.3147 | 3.62831 | 1.92196 |
| 0.31631 | 3.6241 | 1.92099 |
| 0.31793 | 3.62091 | 1.92094 |
| 0.31957 | 3.61871 | 1.92157 |
| 0.32122 | 3.61751 | 1.92286 |
| 0.3229 | 3.61738 | 1.92495 |
| 0.32459 | 3.61829 | 1.9279 |
| 0.3263 | 3.62031 | 1.93142 |
| 0.32802 | 3.62358 | 1.93562 |
| 0.32977 | 3.62806 | 1.94049 |
| 0.33153 | 3.63374 | 1.94634 |
| 0.33331 | 3.64068 | 1.95294 |
| 0.33512 | 3.64905 | 1.96026 |
| 0.33694 | 3.65881 | 1.96826 |
| 0.33878 | 3.67026 | 1.97695 |
| 0.34064 | 3.68366 | 1.98678 |
| 0.34252 | 3.69925 | 1.99744 |
| 0.34442 | 3.71732 | 2.00907 |
| 0.34635 | 3.7385 | 2.02174 |
| 0.34829 | 3.7632 | 2.03541 |
| 0.35026 | 3.79201 | 2.05009 |
| 0.35225 | 3.82569 | 2.06482 |
| 0.35426 | 3.86519 | 2.07888 |
| 0.3563 | 3.911 | 2.09131 |
| 0.35836 | 3.96278 | 2.09893 |
| 0.36044 | 4.01947 | 2.09863 |
| 0.36255 | 4.07928 | 2.08867 |
| 0.36468 | 4.13907 | 2.06859 |
| 0.36684 | 4.19598 | 2.03938 |
| 0.36903 | 4.24866 | 2.00334 |
| 0.37124 | 4.29682 | 1.96578 |
| 0.37347 | 4.34143 | 1.92985 |
| 0.37574 | 4.38548 | 1.8969 |
| 0.37803 | 4.43232 | 1.86752 |
| 0.38035 | 4.485 | 1.83886 |
| 0.38269 | 4.54466 | 1.80594 |
| 0.38507 | 4.60928 | 1.75953 |
| 0.38748 | 4.6729 | 1.69278 |
| 0.38991 | 4.72925 | 1.60256 |
| 0.39238 | 4.77184 | 1.49462 |
| 0.39488 | 4.79648 | 1.37983 |
| 0.39741 | 4.8022 | 1.26792 |
| 0.39998 | 4.79233 | 1.16574 |
| 0.40257 | 4.77062 | 1.07612 |
| 0.4052 | 4.74096 | 0.99625 |
| 0.40787 | 4.70649 | 0.92513 |
| 0.41057 | 4.66981 | 0.86264 |
| 0.41331 | 4.63231 | 0.80776 |
| 0.41608 | 4.59481 | 0.75922 |
| 0.41889 | 4.55779 | 0.71537 |
| 0.42174 | 4.52159 | 0.67568 |
| 0.42463 | 4.48647 | 0.63974 |
| 0.42756 | 4.45238 | 0.60841 |
| 0.43053 | 4.41933 | 0.57917 |
| 0.43354 | 4.38737 | 0.55158 |
| 0.43659 | 4.35662 | 0.52599 |
| 0.43969 | 4.32691 | 0.5025 |
| 0.44283 | 4.29825 | 0.48052 |
| 0.44602 | 4.27052 | 0.46065 |
| 0.44925 | 4.24373 | 0.44258 |
| 0.45253 | 4.21784 | 0.42607 |
| 0.45586 | 4.1928 | 0.40951 |
| 0.45923 | 4.16862 | 0.39289 |
| 0.46266 | 4.14532 | 0.37853 |
| 0.46614 | 4.12287 | 0.36477 |
| 0.46967 | 4.10122 | 0.35095 |
| 0.47325 | 4.08033 | 0.33989 |
| 0.47689 | 4.06013 | 0.32611 |
| 0.48059 | 4.04062 | 0.31281 |
| 0.48435 | 4.02176 | 0.30144 |
| 0.48816 | 4.00342 | 0.29232 |
| 0.49203 | 3.98562 | 0.28061 |
| 0.49597 | 3.96841 | 0.27147 |
| 0.49997 | 3.95179 | 0.26254 |
| 0.50403 | 3.93573 | 0.25309 |
| 0.50817 | 3.92027 | 0.24378 |
| 0.51237 | 3.90541 | 0.23585 |
| 0.51664 | 3.89112 | 0.22818 |
| 0.52098 | 3.87741 | 0.22081 |
| 0.52539 | 3.86441 | 0.21392 |
| 0.52988 | 3.85208 | 0.20786 |
| 0.53445 | 3.84014 | 0.20146 |
| 0.5391 | 3.82816 | 0.1938 |
| 0.54383 | 3.81584 | 0.18485 |
| 0.54864 | 3.80283 | 0.1752 |
| 0.55354 | 3.78914 | 0.16605 |
| 0.55853 | 3.77505 | 0.15803 |
| 0.5636 | 3.76098 | 0.15107 |
| 0.56877 | 3.74724 | 0.14477 |
| 0.57404 | 3.73401 | 0.13859 |
| 0.5794 | 3.72138 | 0.13257 |
| 0.58487 | 3.70947 | 0.12662 |
| 0.59044 | 3.69729 | 0.12068 |
| 0.59612 | 3.68698 | 0.11463 |
| 0.60191 | 3.6774 | 0.10822 |
| 0.60781 | 3.66839 | 0.10053 |
| 0.61382 | 3.66031 | 0.09378 |
| 0.61996 | 3.65646 | 0.08744 |
| 0.62623 | 3.65883 | 0.0767 |
| 0.63262 | 3.65649 | 0.04463 |
| 0.63914 | 3.63391 | 0.02279 |
| 0.64579 | 3.60872 | 0.01003 |
| 0.65259 | 3.58846 | 0.00456 |
| 0.65954 | 3.56795 | 0.0037 |
| 0.66663 | 3.54933 | 0.00165 |
| 0.67387 | 3.5324 | 0.000779 |
| 0.68128 | 3.51679 | 0.000311 |
| 0.68885 | 3.50219 | 0.000134 |
| 0.69659 | 3.48855 | 0.000186 |
| 0.7045 | 3.47583 | 0.000103 |
| 0.7126 | 3.46395 | 2.8e-05 |
| 0.72089 | 3.45269 | 0.0 |
| 0.72937 | 3.44177 | 0.0 |
| 0.73805 | 3.43136 | 0.0 |
| 0.74694 | 3.42146 | 0.0 |
| 0.75605 | 3.41153 | 0.0 |
| 0.76539 | 3.40126 | 0.0 |
| 0.77495 | 3.39096 | 0.0 |
| 0.78476 | 3.38038 | 0.0 |
| 0.79482 | 3.36976 | 0.0 |
| 0.80515 | 3.35937 | 0.0 |
| 0.81574 | 3.35031 | 0.0 |
| 0.82662 | 3.34345 | 0.0 |
| 0.83779 | 3.33552 | 0.0 |
| 0.84926 | 3.32911 | 0.0 |
| 0.86106 | 3.32328 | 0.0 |
| 0.87319 | 3.31743 | 0.0 |
| 0.88566 | 3.31106 | 0.0 |
| 0.8985 | 3.30499 | 0.0 |
| 0.91171 | 3.29857 | 0.0 |
| 0.92532 | 3.29224 | 0.0 |
| 0.93934 | 3.28597 | 0.0 |
| 0.95379 | 3.28148 | 0.0 |
| 0.96869 | 3.27722 | 0.0 |
| 0.98407 | 3.27344 | 0.0 |
| 0.99994 | 3.26982 | 0.0 |
| 1.01633 | 3.26612 | 0.0 |
| 1.03327 | 3.26116 | 0.0 |
| 1.05078 | 3.25594 | 0.0 |
| 1.0689 | 3.25084 | 0.0 |
| 1.08765 | 3.24586 | 0.0 |
| 1.10708 | 3.24101 | 0.0 |
| 1.12721 | 3.23628 | 0.0 |
| 1.14808 | 3.23165 | 0.0 |
| 1.16974 | 3.22714 | 0.0 |
| 1.19224 | 3.22274 | 0.0 |
| 1.21561 | 3.21845 | 0.0 |
| 1.23993 | 3.21426 | 0.0 |
| 1.26523 | 3.21016 | 0.0 |
| 1.29159 | 3.20615 | 0.0 |
| 1.31907 | 3.20223 | 0.0 |
| 1.34775 | 3.1984 | 0.0 |
| 1.3777 | 3.19465 | 0.0 |
| 1.40901 | 3.191 | 0.0 |
| 1.44177 | 3.18743 | 0.0 |
| 1.4761 | 3.18393 | 0.0 |
| 1.5121 | 3.18052 | 0.0 |
| 1.54991 | 3.17717 | 0.0 |
| 1.58965 | 3.17389 | 0.0 |
| 1.63148 | 3.17154 | 0.0 |
| 1.67558 | 3.1692 | 0.0 |
| 1.72212 | 3.16686 | 0.0 |
| 1.77132 | 3.16453 | 0.0 |
| 1.82342 | 3.16215 | 0.0 |
| 1.87868 | 3.15895 | 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 = 0.411