Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Aspnes et al. 1986: n,k 0.207–0.827 µm; 9.9% Al
- Data
- tabulated nk
- Range
- 0.2066–0.8266 µm
- Points
- 46
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.88269
- Extinction coefficient k
- 0.20297
- Permittivity ε1
- 15.0341
- Permittivity ε2
- 1.57614
- Absorption coefficient α
- 43407 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 460.755 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.38806 µm⁻¹
- Group index ng
- 5.28591
- 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): Aspnes et al. 1986: n,k 0.207–0.827 µm; 9.9% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Aspnes-9.9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(alas_gaas.range_nm) # (206.6, 826.6) 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_98d0bfd939fe/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/aspnes-1986-9-9).
# ... 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=826, 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:10.1063/1.337426 Optical properties of Al <i>x</i> Ga1− <i>x</i> As, Journal of Applied Physics (1986)
Cite
D. E. Aspnes, S. M. Kelso, R. A. Logan and R. Bhat. Optical properties of Al <i>x</i> Ga1− <i>x</i> As. Journal of Applied Physics, 60, 754-767 (1986), doi:10.1063/1.337426; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
46 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.2066 | 1.311 | 2.457 |
| 0.2101 | 1.318 | 2.538 |
| 0.2138 | 1.33 | 2.608 |
| 0.2175 | 1.345 | 2.698 |
| 0.2214 | 1.371 | 2.8 |
| 0.2254 | 1.408 | 2.921 |
| 0.2296 | 1.459 | 3.059 |
| 0.2339 | 1.531 | 3.223 |
| 0.2384 | 1.634 | 3.433 |
| 0.2431 | 1.819 | 3.704 |
| 0.248 | 2.207 | 3.983 |
| 0.253 | 2.772 | 4.036 |
| 0.2583 | 3.267 | 3.846 |
| 0.2638 | 3.611 | 3.536 |
| 0.2695 | 3.829 | 3.229 |
| 0.2755 | 4.01 | 2.876 |
| 0.2818 | 4.017 | 2.507 |
| 0.2883 | 3.922 | 2.24 |
| 0.2952 | 3.801 | 2.074 |
| 0.3024 | 3.697 | 1.983 |
| 0.31 | 3.618 | 1.937 |
| 0.3179 | 3.566 | 1.92 |
| 0.3263 | 3.537 | 1.924 |
| 0.3351 | 3.532 | 1.945 |
| 0.3444 | 3.552 | 1.979 |
| 0.3542 | 3.601 | 2.03 |
| 0.3647 | 3.69 | 2.1 |
| 0.3757 | 3.864 | 2.203 |
| 0.3875 | 4.253 | 2.187 |
| 0.3999 | 4.46 | 1.949 |
| 0.4133 | 4.838 | 1.836 |
| 0.4275 | 4.968 | 1.126 |
| 0.4428 | 4.725 | 0.763 |
| 0.4592 | 4.518 | 0.575 |
| 0.4769 | 4.353 | 0.462 |
| 0.4959 | 4.22 | 0.382 |
| 0.5166 | 4.111 | 0.32 |
| 0.5391 | 4.018 | 0.276 |
| 0.5636 | 3.94 | 0.237 |
| 0.5904 | 3.876 | 0.199 |
| 0.6199 | 3.82 | 0.171 |
| 0.6525 | 3.775 | 0.127 |
| 0.6888 | 3.716 | 0.099 |
| 0.7293 | 3.678 | 0.082 |
| 0.7749 | 3.661 | 0.059 |
| 0.8266 | 3.572 | 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 = 0.099