Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Papatryfonos et al. 2021: n,k 0.260–1.88 µm; 45.2% 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
- 3.67692
- Extinction coefficient k
- 0.0970482
- Permittivity ε1
- 13.5103
- Permittivity ε2
- 0.713676
- Absorption coefficient α
- 20754.7 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 963.639 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.66786 µm⁻¹
- Group index ng
- 4.65695
- 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; 45.2% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Papatryfonos-45.2", 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_ddfbf648ed34/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-2021-45-2).
# ... 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 | 3.51372 | 3.7885 |
| 0.26159 | 3.61822 | 3.72601 |
| 0.2627 | 3.71793 | 3.65284 |
| 0.26381 | 3.81057 | 3.56877 |
| 0.26494 | 3.88712 | 3.47405 |
| 0.26608 | 3.95268 | 3.37424 |
| 0.26723 | 4.00723 | 3.27193 |
| 0.26838 | 4.05007 | 3.16899 |
| 0.26955 | 4.0799 | 3.06694 |
| 0.27073 | 4.09828 | 2.96799 |
| 0.27191 | 4.10742 | 2.87345 |
| 0.27311 | 4.10872 | 2.78389 |
| 0.27432 | 4.10364 | 2.69976 |
| 0.27554 | 4.09408 | 2.62102 |
| 0.27677 | 4.0785 | 2.54874 |
| 0.27801 | 4.05987 | 2.48336 |
| 0.27926 | 4.03886 | 2.42341 |
| 0.28053 | 4.01653 | 2.36895 |
| 0.2818 | 3.99416 | 2.31962 |
| 0.28309 | 3.96957 | 2.27527 |
| 0.28439 | 3.94618 | 2.23505 |
| 0.2857 | 3.92289 | 2.19874 |
| 0.28702 | 3.89985 | 2.1658 |
| 0.28835 | 3.87721 | 2.13576 |
| 0.2897 | 3.85556 | 2.10918 |
| 0.29106 | 3.83502 | 2.08543 |
| 0.29244 | 3.81541 | 2.06383 |
| 0.29382 | 3.79696 | 2.04443 |
| 0.29522 | 3.77983 | 2.027 |
| 0.29663 | 3.76393 | 2.01135 |
| 0.29806 | 3.74872 | 1.998 |
| 0.2995 | 3.73505 | 1.98575 |
| 0.30095 | 3.72216 | 1.97469 |
| 0.30242 | 3.70964 | 1.965 |
| 0.3039 | 3.69868 | 1.9567 |
| 0.3054 | 3.6886 | 1.94982 |
| 0.30691 | 3.67973 | 1.94385 |
| 0.30844 | 3.67177 | 1.93853 |
| 0.30998 | 3.66449 | 1.93384 |
| 0.31154 | 3.65804 | 1.93035 |
| 0.31311 | 3.65303 | 1.9282 |
| 0.3147 | 3.64882 | 1.92658 |
| 0.31631 | 3.64571 | 1.92573 |
| 0.31793 | 3.64371 | 1.92574 |
| 0.31957 | 3.64262 | 1.92645 |
| 0.32122 | 3.64259 | 1.92795 |
| 0.3229 | 3.64369 | 1.93016 |
| 0.32459 | 3.64591 | 1.93304 |
| 0.3263 | 3.64919 | 1.93663 |
| 0.32802 | 3.65367 | 1.94088 |
| 0.32977 | 3.66006 | 1.94618 |
| 0.33153 | 3.66741 | 1.95228 |
| 0.33331 | 3.67592 | 1.95918 |
| 0.33512 | 3.68602 | 1.9668 |
| 0.33694 | 3.69809 | 1.97497 |
| 0.33878 | 3.71158 | 1.98442 |
| 0.34064 | 3.72808 | 1.99469 |
| 0.34252 | 3.74713 | 2.00593 |
| 0.34442 | 3.76936 | 2.018 |
| 0.34635 | 3.79481 | 2.0308 |
| 0.34829 | 3.82553 | 2.0443 |
| 0.35026 | 3.86155 | 2.05733 |
| 0.35225 | 3.90417 | 2.06845 |
| 0.35426 | 3.95316 | 2.07597 |
| 0.3563 | 4.00775 | 2.07808 |
| 0.35836 | 4.06826 | 2.07076 |
| 0.36044 | 4.12843 | 2.05254 |
| 0.36255 | 4.18606 | 2.02594 |
| 0.36468 | 4.2393 | 1.99348 |
| 0.36684 | 4.28689 | 1.95774 |
| 0.36903 | 4.32958 | 1.92156 |
| 0.37124 | 4.37022 | 1.88785 |
| 0.37347 | 4.41304 | 1.85649 |
| 0.37574 | 4.46069 | 1.82593 |
| 0.37803 | 4.51529 | 1.79305 |
| 0.38035 | 4.5801 | 1.75035 |
| 0.38269 | 4.64949 | 1.68546 |
| 0.38507 | 4.71232 | 1.60165 |
| 0.38748 | 4.76047 | 1.5025 |
| 0.38991 | 4.78839 | 1.39322 |
| 0.39238 | 4.79421 | 1.28441 |
| 0.39488 | 4.78245 | 1.18568 |
| 0.39741 | 4.7606 | 1.09638 |
| 0.39998 | 4.73192 | 1.01599 |
| 0.40257 | 4.699 | 0.94397 |
| 0.4052 | 4.66328 | 0.88038 |
| 0.40787 | 4.62638 | 0.82522 |
| 0.41057 | 4.58943 | 0.77515 |
| 0.41331 | 4.55309 | 0.72981 |
| 0.41608 | 4.51785 | 0.68897 |
| 0.41889 | 4.48339 | 0.65262 |
| 0.42174 | 4.44958 | 0.62045 |
| 0.42463 | 4.41712 | 0.59015 |
| 0.42756 | 4.38563 | 0.56147 |
| 0.43053 | 4.35489 | 0.53509 |
| 0.43354 | 4.32536 | 0.51108 |
| 0.43659 | 4.29715 | 0.48877 |
| 0.43969 | 4.26976 | 0.4678 |
| 0.44283 | 4.24305 | 0.4483 |
| 0.44602 | 4.2171 | 0.43016 |
| 0.44925 | 4.19207 | 0.41301 |
| 0.45253 | 4.16774 | 0.39682 |
| 0.45586 | 4.14447 | 0.38265 |
| 0.45923 | 4.12196 | 0.36856 |
| 0.46266 | 4.09997 | 0.35532 |
| 0.46614 | 4.07881 | 0.34478 |
| 0.46967 | 4.05883 | 0.32994 |
| 0.47325 | 4.03927 | 0.31601 |
| 0.47689 | 4.02044 | 0.30449 |
| 0.48059 | 4.00215 | 0.29397 |
| 0.48435 | 3.9843 | 0.28195 |
| 0.48816 | 3.96661 | 0.27362 |
| 0.49203 | 3.9501 | 0.26391 |
| 0.49597 | 3.93411 | 0.2538 |
| 0.49997 | 3.91862 | 0.24395 |
| 0.50403 | 3.9037 | 0.23484 |
| 0.50817 | 3.88926 | 0.2262 |
| 0.51237 | 3.87585 | 0.21817 |
| 0.51664 | 3.8631 | 0.21078 |
| 0.52098 | 3.851 | 0.20329 |
| 0.52539 | 3.83936 | 0.19488 |
| 0.52988 | 3.82698 | 0.18554 |
| 0.53445 | 3.81301 | 0.17539 |
| 0.5391 | 3.79825 | 0.16555 |
| 0.54383 | 3.78303 | 0.15651 |
| 0.54864 | 3.76777 | 0.14848 |
| 0.55354 | 3.75358 | 0.14139 |
| 0.55853 | 3.74003 | 0.13425 |
| 0.5636 | 3.72694 | 0.12725 |
| 0.56877 | 3.71433 | 0.12052 |
| 0.57404 | 3.70237 | 0.11403 |
| 0.5794 | 3.69148 | 0.10732 |
| 0.58487 | 3.68147 | 0.10068 |
| 0.59044 | 3.67218 | 0.09327 |
| 0.59612 | 3.66381 | 0.08635 |
| 0.60191 | 3.65913 | 0.07962 |
| 0.60781 | 3.66213 | 0.06963 |
| 0.61382 | 3.65827 | 0.03739 |
| 0.61996 | 3.63519 | 0.01426 |
| 0.62623 | 3.60707 | 0.00373 |
| 0.63262 | 3.58299 | 0.00186 |
| 0.63914 | 3.56372 | 0.00268 |
| 0.64579 | 3.54636 | 0.00134 |
| 0.65259 | 3.5294 | 0.0009 |
| 0.65954 | 3.51299 | 0.000431 |
| 0.66663 | 3.49737 | 0.000143 |
| 0.67387 | 3.48304 | 0.00019 |
| 0.68128 | 3.46957 | 0.000403 |
| 0.68885 | 3.45716 | 0.000554 |
| 0.69659 | 3.44615 | 0.000383 |
| 0.7045 | 3.43482 | 0.00016 |
| 0.7126 | 3.42473 | 3.1e-05 |
| 0.72089 | 3.41438 | 0.0 |
| 0.72937 | 3.40418 | 0.0 |
| 0.73805 | 3.3948 | 0.0 |
| 0.74694 | 3.38754 | 0.0 |
| 0.75605 | 3.37932 | 0.0 |
| 0.76539 | 3.36973 | 0.0 |
| 0.77495 | 3.35902 | 0.0 |
| 0.78476 | 3.34746 | 0.0 |
| 0.79482 | 3.33746 | 0.0 |
| 0.80515 | 3.32778 | 0.0 |
| 0.81574 | 3.31922 | 0.0 |
| 0.82662 | 3.30924 | 0.0 |
| 0.83779 | 3.30375 | 0.0 |
| 0.84926 | 3.29667 | 0.0 |
| 0.86106 | 3.29123 | 0.0 |
| 0.87319 | 3.28616 | 0.0 |
| 0.88566 | 3.28004 | 0.0 |
| 0.8985 | 3.2742 | 0.0 |
| 0.91171 | 3.26806 | 0.0 |
| 0.92532 | 3.26199 | 0.0 |
| 0.93934 | 3.25597 | 0.0 |
| 0.95379 | 3.25165 | 0.0 |
| 0.96869 | 3.24758 | 0.0 |
| 0.98407 | 3.24399 | 0.0 |
| 0.99994 | 3.2405 | 0.0 |
| 1.01633 | 3.23693 | 0.0 |
| 1.03327 | 3.23201 | 0.0 |
| 1.05078 | 3.22694 | 0.0 |
| 1.0689 | 3.22198 | 0.0 |
| 1.08765 | 3.21709 | 0.0 |
| 1.10708 | 3.21239 | 0.0 |
| 1.12721 | 3.20777 | 0.0 |
| 1.14808 | 3.20327 | 0.0 |
| 1.16974 | 3.1989 | 0.0 |
| 1.19224 | 3.1946 | 0.0 |
| 1.21561 | 3.19043 | 0.0 |
| 1.23993 | 3.18625 | 0.0 |
| 1.26523 | 3.18225 | 0.0 |
| 1.29159 | 3.17836 | 0.0 |
| 1.31907 | 3.17447 | 0.0 |
| 1.34775 | 3.17077 | 0.0 |
| 1.3777 | 3.1671 | 0.0 |
| 1.40901 | 3.16348 | 0.0 |
| 1.44177 | 3.15996 | 0.0 |
| 1.4761 | 3.1565 | 0.0 |
| 1.5121 | 3.15316 | 0.0 |
| 1.54991 | 3.14984 | 0.0 |
| 1.58965 | 3.14661 | 0.0 |
| 1.63148 | 3.14347 | 0.0 |
| 1.67558 | 3.1404 | 0.0 |
| 1.72212 | 3.13741 | 0.0 |
| 1.77132 | 3.13441 | 0.0 |
| 1.82342 | 3.13149 | 0.0 |
| 1.87868 | 3.12917 | 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 = 0.452