Optical constants
Refractive index of AlAs-GaAs (Aluminium gallium arsenide, AlGaAs)
Aspnes et al. 1986: n,k 0.207–0.827 µm; 0% 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
- 3.94763
- Extinction coefficient k
- 0.243761
- Permittivity ε1
- 15.5243
- Permittivity ε2
- 1.92456
- Absorption coefficient α
- 52130.6 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 383.652 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.72388 µm⁻¹
- Group index ng
- 5.54818
- 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; 0% Al
alas_gaas = ls.fetch_refractiveindex("other", "AlAs-GaAs", "Aspnes-0", 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_994e0727d17f/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-1986-0).
# ... 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 | 1.264 | 2.472 |
| 0.2101 | 1.288 | 2.557 |
| 0.2138 | 1.311 | 2.625 |
| 0.2175 | 1.325 | 2.71 |
| 0.2214 | 1.349 | 2.815 |
| 0.2254 | 1.383 | 2.936 |
| 0.2296 | 1.43 | 3.079 |
| 0.2339 | 1.499 | 3.255 |
| 0.2384 | 1.599 | 3.484 |
| 0.2431 | 1.802 | 3.795 |
| 0.248 | 2.273 | 4.084 |
| 0.253 | 2.89 | 4.047 |
| 0.2583 | 3.342 | 3.77 |
| 0.2638 | 3.598 | 3.452 |
| 0.2695 | 3.769 | 3.169 |
| 0.2755 | 3.913 | 2.919 |
| 0.2818 | 4.015 | 2.563 |
| 0.2883 | 3.939 | 2.26 |
| 0.2952 | 3.81 | 2.069 |
| 0.3024 | 3.692 | 1.969 |
| 0.31 | 3.601 | 1.92 |
| 0.3179 | 3.538 | 1.904 |
| 0.3263 | 3.501 | 1.909 |
| 0.3351 | 3.485 | 1.931 |
| 0.3444 | 3.495 | 1.965 |
| 0.3542 | 3.531 | 2.013 |
| 0.3647 | 3.596 | 2.076 |
| 0.3757 | 3.709 | 2.162 |
| 0.3875 | 3.938 | 2.288 |
| 0.3999 | 4.373 | 2.146 |
| 0.4133 | 4.509 | 1.948 |
| 0.4275 | 5.052 | 1.721 |
| 0.4428 | 4.959 | 0.991 |
| 0.4592 | 4.694 | 0.696 |
| 0.4769 | 4.492 | 0.539 |
| 0.4959 | 4.333 | 0.441 |
| 0.5166 | 4.205 | 0.371 |
| 0.5391 | 4.1 | 0.32 |
| 0.5636 | 4.013 | 0.276 |
| 0.5904 | 3.94 | 0.24 |
| 0.6199 | 3.878 | 0.211 |
| 0.6525 | 3.826 | 0.179 |
| 0.6888 | 3.786 | 0.157 |
| 0.7293 | 3.742 | 0.123 |
| 0.7749 | 3.7 | 0.093 |
| 0.8266 | 3.666 | 0.059 |
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 (GaAs)