Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Adachi 1989: n,k 0.207–12.4 µm; 70.0% Al
- Data
- tabulated nk
- Range
- 0.2066–12.4 µm
- Points
- 200
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.42449
- Extinction coefficient k
- 0.0203128
- Permittivity ε1
- 11.7267
- Permittivity ε2
- 0.139122
- Absorption coefficient α
- 4344.09 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 4603.96 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.01681 µm⁻¹
- Group index ng
- 4.60957
- 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): Adachi 1989: n,k 0.207–12.4 µm; 70.0% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Adachi-0.700", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas_gaas.range_nm) # (206.64, 12398) 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_2cbe4ed2c4ca/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/adachi-1989-0-700).
# ... 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
[Calculation script (Python)]
- doi:10.1063/1.343580 Optical dispersion relations for GaP, GaAs, GaSb, InP, InAs, InSb, Al <i>x</i> Ga1− <i>x</i> As, and In1− <i>x</i> Ga <i>x</i> As <i>y</i> P1− <i>y</i>, Journal of Applied Physics (1989)
Cite
Sadao Adachi. Optical dispersion relations for GaP, GaAs, GaSb, InP, InAs, InSb, Al <i>x</i> Ga1− <i>x</i> As, and In1− <i>x</i> Ga <i>x</i> As <i>y</i> P1− <i>y</i>. Journal of Applied Physics, 66, 6030-6040 (1989), doi:10.1063/1.343580; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
200 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.20664 | 1.5789 | 2.5067 |
| 0.20767 | 1.5882 | 2.5208 |
| 0.2087 | 1.5976 | 2.5352 |
| 0.20975 | 1.6072 | 2.5502 |
| 0.21081 | 1.617 | 2.5656 |
| 0.21188 | 1.627 | 2.5816 |
| 0.21295 | 1.6371 | 2.5981 |
| 0.21404 | 1.6475 | 2.6153 |
| 0.21515 | 1.6581 | 2.6331 |
| 0.21626 | 1.6689 | 2.6517 |
| 0.21738 | 1.68 | 2.671 |
| 0.21852 | 1.6915 | 2.6911 |
| 0.21967 | 1.7032 | 2.7121 |
| 0.22083 | 1.7154 | 2.734 |
| 0.222 | 1.728 | 2.757 |
| 0.22318 | 1.7411 | 2.7811 |
| 0.22438 | 1.7548 | 2.8064 |
| 0.22559 | 1.7691 | 2.833 |
| 0.22681 | 1.7841 | 2.8611 |
| 0.22805 | 1.8 | 2.8906 |
| 0.2293 | 1.8168 | 2.9219 |
| 0.23057 | 1.8348 | 2.9549 |
| 0.23184 | 1.8542 | 2.9899 |
| 0.23314 | 1.8751 | 3.0271 |
| 0.23444 | 1.8978 | 3.0666 |
| 0.23577 | 1.9228 | 3.1085 |
| 0.2371 | 1.9503 | 3.1531 |
| 0.23845 | 1.9809 | 3.2006 |
| 0.23982 | 2.0151 | 3.2511 |
| 0.2412 | 2.0538 | 3.3047 |
| 0.2426 | 2.0978 | 3.3615 |
| 0.24402 | 2.148 | 3.4214 |
| 0.24545 | 2.2059 | 3.4843 |
| 0.2469 | 2.2728 | 3.5497 |
| 0.24837 | 2.3505 | 3.6168 |
| 0.24985 | 2.4408 | 3.6842 |
| 0.25135 | 2.5458 | 3.7499 |
| 0.25287 | 2.6674 | 3.811 |
| 0.25441 | 2.807 | 3.8632 |
| 0.25597 | 2.9651 | 3.9012 |
| 0.25755 | 3.1401 | 3.9185 |
| 0.25914 | 3.3281 | 3.9082 |
| 0.26076 | 3.5217 | 3.8646 |
| 0.26239 | 3.7105 | 3.7844 |
| 0.26405 | 3.8827 | 3.6691 |
| 0.26573 | 4.0277 | 3.5252 |
| 0.26743 | 4.1385 | 3.3632 |
| 0.26915 | 4.213 | 3.1949 |
| 0.27089 | 4.2541 | 3.0309 |
| 0.27266 | 4.2675 | 2.8791 |
| 0.27445 | 4.2601 | 2.7437 |
| 0.27626 | 4.2385 | 2.6266 |
| 0.2781 | 4.2084 | 2.5274 |
| 0.27996 | 4.174 | 2.4448 |
| 0.28185 | 4.1386 | 2.3767 |
| 0.28376 | 4.1044 | 2.3213 |
| 0.2857 | 4.0727 | 2.2765 |
| 0.28766 | 4.0446 | 2.2405 |
| 0.28966 | 4.0205 | 2.2119 |
| 0.29168 | 4.0007 | 2.1892 |
| 0.29372 | 3.9852 | 2.1714 |
| 0.2958 | 3.9742 | 2.1576 |
| 0.29791 | 3.9674 | 2.1469 |
| 0.30005 | 3.9649 | 2.1388 |
| 0.30222 | 3.9664 | 2.1328 |
| 0.30442 | 3.972 | 2.1283 |
| 0.30665 | 3.9813 | 2.125 |
| 0.30891 | 3.9945 | 2.1225 |
| 0.31121 | 4.0113 | 2.1207 |
| 0.31354 | 4.0318 | 2.1193 |
| 0.31591 | 4.0559 | 2.118 |
| 0.31832 | 4.0837 | 2.1167 |
| 0.32076 | 4.1151 | 2.1153 |
| 0.32324 | 4.1504 | 2.1135 |
| 0.32576 | 4.1895 | 2.1112 |
| 0.32831 | 4.2326 | 2.1083 |
| 0.33091 | 4.28 | 2.1047 |
| 0.33355 | 4.3318 | 2.1001 |
| 0.33623 | 4.3882 | 2.0946 |
| 0.33896 | 4.4495 | 2.0879 |
| 0.34173 | 4.5159 | 2.0802 |
| 0.34454 | 4.5872 | 2.0714 |
| 0.34741 | 4.6629 | 2.0618 |
| 0.35032 | 4.7414 | 2.0523 |
| 0.35328 | 4.8193 | 2.0442 |
| 0.35629 | 4.8901 | 2.0402 |
| 0.35935 | 4.9446 | 2.0438 |
| 0.36246 | 4.9191 | 1.9203 |
| 0.36563 | 4.8163 | 1.6603 |
| 0.36886 | 4.7289 | 1.4929 |
| 0.37214 | 4.6408 | 1.3567 |
| 0.37548 | 4.5541 | 1.235 |
| 0.37888 | 4.4712 | 1.1202 |
| 0.38235 | 4.3936 | 1.0083 |
| 0.38588 | 4.3219 | 0.89703 |
| 0.38947 | 4.2562 | 0.78497 |
| 0.39313 | 4.1966 | 0.67125 |
| 0.39686 | 4.1432 | 0.55524 |
| 0.40066 | 4.1023 | 0.49316 |
| 0.40454 | 4.0719 | 0.48802 |
| 0.40849 | 4.0444 | 0.48206 |
| 0.41252 | 4.0195 | 0.47524 |
| 0.41663 | 3.997 | 0.46748 |
| 0.42082 | 3.9768 | 0.45872 |
| 0.4251 | 3.9587 | 0.44885 |
| 0.42947 | 3.9426 | 0.43771 |
| 0.43392 | 3.9282 | 0.42509 |
| 0.43847 | 3.9156 | 0.41065 |
| 0.44312 | 3.9045 | 0.39379 |
| 0.44786 | 3.8948 | 0.37325 |
| 0.45271 | 3.8861 | 0.34391 |
| 0.45767 | 3.8497 | 0.31703 |
| 0.46273 | 3.8284 | 0.3065 |
| 0.46791 | 3.8122 | 0.29444 |
| 0.4732 | 3.7991 | 0.28084 |
| 0.47862 | 3.7882 | 0.26547 |
| 0.48416 | 3.7791 | 0.24795 |
| 0.48983 | 3.7716 | 0.22767 |
| 0.49564 | 3.7656 | 0.20355 |
| 0.50158 | 3.7609 | 0.17345 |
| 0.50767 | 3.7574 | 0.13125 |
| 0.51391 | 3.7089 | 0.050464 |
| 0.5203 | 3.6496 | 0.047041 |
| 0.52686 | 3.6111 | 0.043442 |
| 0.53358 | 3.5797 | 0.039893 |
| 0.54048 | 3.5523 | 0.036464 |
| 0.54756 | 3.5276 | 0.033201 |
| 0.55482 | 3.5049 | 0.03014 |
| 0.56228 | 3.4838 | 0.027316 |
| 0.56994 | 3.4641 | 0.024764 |
| 0.57782 | 3.4455 | 0.022519 |
| 0.58591 | 3.4279 | 0.02062 |
| 0.59424 | 3.4111 | 0.019106 |
| 0.60281 | 3.3951 | 0.01802 |
| 0.61162 | 3.3798 | 0.017406 |
| 0.6207 | 3.3652 | 0.017002 |
| 0.63005 | 3.3512 | 0.016605 |
| 0.63969 | 3.3377 | 0.016216 |
| 0.64963 | 3.3247 | 0.015835 |
| 0.65988 | 3.3122 | 0.01546 |
| 0.67046 | 3.3001 | 0.015093 |
| 0.68138 | 3.2885 | 0.014733 |
| 0.69267 | 3.2773 | 0.01438 |
| 0.70433 | 3.2664 | 0.014033 |
| 0.7164 | 3.2559 | 0.013692 |
| 0.72889 | 3.2458 | 0.013358 |
| 0.74182 | 3.236 | 0.01303 |
| 0.75521 | 3.2265 | 0.012708 |
| 0.7691 | 3.2174 | 0.012391 |
| 0.78351 | 3.2085 | 0.01208 |
| 0.79847 | 3.1999 | 0.011775 |
| 0.81402 | 3.1915 | 0.011474 |
| 0.83018 | 3.1835 | 0.011179 |
| 0.84699 | 3.1757 | 0.010888 |
| 0.8645 | 3.1681 | 0.010602 |
| 0.88275 | 3.1608 | 0.010321 |
| 0.90179 | 3.1537 | 0.010044 |
| 0.92166 | 3.1468 | 0.0097711 |
| 0.94243 | 3.1401 | 0.0095025 |
| 0.96416 | 3.1337 | 0.0092378 |
| 0.98691 | 3.1274 | 0.0089769 |
| 1.0108 | 3.1214 | 0.0087197 |
| 1.0358 | 3.1155 | 0.0084661 |
| 1.0621 | 3.1099 | 0.0082159 |
| 1.0898 | 3.1044 | 0.007969 |
| 1.119 | 3.0991 | 0.0077254 |
| 1.1497 | 3.094 | 0.0074848 |
| 1.1822 | 3.0891 | 0.0072471 |
| 1.2166 | 3.0843 | 0.0070123 |
| 1.2531 | 3.0798 | 0.0067803 |
| 1.2918 | 3.0753 | 0.0065509 |
| 1.3329 | 3.0711 | 0.006324 |
| 1.3768 | 3.067 | 0.0060996 |
| 1.4237 | 3.063 | 0.0058775 |
| 1.4739 | 3.0592 | 0.0056577 |
| 1.5277 | 3.0556 | 0.00544 |
| 1.5857 | 3.0521 | 0.0052243 |
| 1.6482 | 3.0487 | 0.0050106 |
| 1.7158 | 3.0455 | 0.0047988 |
| 1.7892 | 3.0425 | 0.0045887 |
| 1.8692 | 3.0395 | 0.0043804 |
| 1.9566 | 3.0368 | 0.0041737 |
| 2.0527 | 3.0341 | 0.0039685 |
| 2.1586 | 3.0316 | 0.0037648 |
| 2.2761 | 3.0292 | 0.0035624 |
| 2.4071 | 3.027 | 0.0033614 |
| 2.5541 | 3.0249 | 0.0031616 |
| 2.7203 | 3.0229 | 0.0029629 |
| 2.9095 | 3.0211 | 0.0027653 |
| 3.1271 | 3.0193 | 0.0025686 |
| 3.3798 | 3.0178 | 0.0023729 |
| 3.677 | 3.0163 | 0.0021781 |
| 4.0315 | 3.0149 | 0.001984 |
| 4.4616 | 3.0137 | 0.0017907 |
| 4.9945 | 3.0126 | 0.0015979 |
| 5.6719 | 3.0117 | 0.0014058 |
| 6.5619 | 3.0108 | 0.0012141 |
| 7.7832 | 3.0101 | 0.0010229 |
| 9.5631 | 3.0095 | 0.00083205 |
| 12.398 | 3.0091 | 0.00064148 |
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=0.700