Optical constants
Refractive index of GaAs-InAs-GaP-InP (Gallium indium arsenide phosphide, GaInAsP)
Adachi 1989: n,k 0.207–12.4 µm
- 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
- 3.45547
- Extinction coefficient k
- 0.329385
- Permittivity ε1
- 11.8318
- Permittivity ε2
- 2.27636
- Absorption coefficient α
- 70442.1 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 283.921 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.38055 µm⁻¹
- Group index ng
- 4.26668
- 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
# GaAs-InAs-GaP-InP (Gallium indium arsenide phosphide, GaInAsP): Adachi 1989: n,k 0.207–12.4 µm
mat = ls.fetch_refractiveindex("other", "GaAs-InAs-GaP-InP", "Adachi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (206.64, 12398) nm
eps = mat.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_dbb5fd0a9056/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gaas-inas-gap-inp/adachi-1989).
# ... load mat as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
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 | 1.2956 | 1.8986 |
| 0.20767 | 1.3018 | 1.9176 |
| 0.2087 | 1.3083 | 1.9372 |
| 0.20975 | 1.3151 | 1.9572 |
| 0.21081 | 1.3221 | 1.9779 |
| 0.21188 | 1.3294 | 1.9991 |
| 0.21295 | 1.337 | 2.0209 |
| 0.21404 | 1.345 | 2.0434 |
| 0.21515 | 1.3534 | 2.0666 |
| 0.21626 | 1.3622 | 2.0905 |
| 0.21738 | 1.3715 | 2.1152 |
| 0.21852 | 1.3813 | 2.1407 |
| 0.21967 | 1.3916 | 2.167 |
| 0.22083 | 1.4025 | 2.1943 |
| 0.222 | 1.4142 | 2.2224 |
| 0.22318 | 1.4266 | 2.2516 |
| 0.22438 | 1.4399 | 2.2819 |
| 0.22559 | 1.4541 | 2.3132 |
| 0.22681 | 1.4693 | 2.3457 |
| 0.22805 | 1.4858 | 2.3795 |
| 0.2293 | 1.5035 | 2.4145 |
| 0.23057 | 1.5228 | 2.4508 |
| 0.23184 | 1.5437 | 2.4886 |
| 0.23314 | 1.5665 | 2.5277 |
| 0.23444 | 1.5914 | 2.5684 |
| 0.23577 | 1.6188 | 2.6105 |
| 0.2371 | 1.6488 | 2.6541 |
| 0.23845 | 1.6819 | 2.6992 |
| 0.23982 | 1.7185 | 2.7457 |
| 0.2412 | 1.759 | 2.7935 |
| 0.2426 | 1.804 | 2.8424 |
| 0.24402 | 1.8539 | 2.8922 |
| 0.24545 | 1.9095 | 2.9424 |
| 0.2469 | 1.9712 | 2.9926 |
| 0.24837 | 2.0399 | 3.0421 |
| 0.24985 | 2.1162 | 3.09 |
| 0.25135 | 2.2007 | 3.1351 |
| 0.25287 | 2.2938 | 3.176 |
| 0.25441 | 2.3957 | 3.2109 |
| 0.25597 | 2.5064 | 3.2378 |
| 0.25755 | 2.6251 | 3.2544 |
| 0.25914 | 2.7506 | 3.2584 |
| 0.26076 | 2.8806 | 3.2475 |
| 0.26239 | 3.0123 | 3.2201 |
| 0.26405 | 3.142 | 3.1751 |
| 0.26573 | 3.2657 | 3.1127 |
| 0.26743 | 3.3795 | 3.0342 |
| 0.26915 | 3.4798 | 2.9423 |
| 0.27089 | 3.5642 | 2.8406 |
| 0.27266 | 3.6314 | 2.7331 |
| 0.27445 | 3.6813 | 2.6238 |
| 0.27626 | 3.7151 | 2.5162 |
| 0.2781 | 3.7345 | 2.4133 |
| 0.27996 | 3.7419 | 2.317 |
| 0.28185 | 3.7395 | 2.2287 |
| 0.28376 | 3.7297 | 2.149 |
| 0.2857 | 3.7145 | 2.078 |
| 0.28766 | 3.6956 | 2.0155 |
| 0.28966 | 3.6745 | 1.9609 |
| 0.29168 | 3.6523 | 1.9137 |
| 0.29372 | 3.63 | 1.8733 |
| 0.2958 | 3.6082 | 1.8389 |
| 0.29791 | 3.5876 | 1.8098 |
| 0.30005 | 3.5684 | 1.7856 |
| 0.30222 | 3.5509 | 1.7656 |
| 0.30442 | 3.5354 | 1.7493 |
| 0.30665 | 3.522 | 1.7362 |
| 0.30891 | 3.5108 | 1.726 |
| 0.31121 | 3.5018 | 1.7183 |
| 0.31354 | 3.4951 | 1.7127 |
| 0.31591 | 3.4906 | 1.709 |
| 0.31832 | 3.4884 | 1.7069 |
| 0.32076 | 3.4885 | 1.7063 |
| 0.32324 | 3.4909 | 1.7068 |
| 0.32576 | 3.4955 | 1.7084 |
| 0.32831 | 3.5023 | 1.7108 |
| 0.33091 | 3.5114 | 1.7139 |
| 0.33355 | 3.5227 | 1.7177 |
| 0.33623 | 3.5363 | 1.7219 |
| 0.33896 | 3.5521 | 1.7265 |
| 0.34173 | 3.5703 | 1.7314 |
| 0.34454 | 3.5908 | 1.7365 |
| 0.34741 | 3.6136 | 1.7417 |
| 0.35032 | 3.6389 | 1.7468 |
| 0.35328 | 3.6668 | 1.7519 |
| 0.35629 | 3.6972 | 1.7568 |
| 0.35935 | 3.7304 | 1.7615 |
| 0.36246 | 3.7665 | 1.7659 |
| 0.36563 | 3.8056 | 1.7699 |
| 0.36886 | 3.8479 | 1.7733 |
| 0.37214 | 3.8936 | 1.7762 |
| 0.37548 | 3.9429 | 1.7785 |
| 0.37888 | 3.9958 | 1.7801 |
| 0.38235 | 4.0525 | 1.781 |
| 0.38588 | 4.1127 | 1.7814 |
| 0.38947 | 4.1758 | 1.7816 |
| 0.39313 | 4.2409 | 1.7819 |
| 0.39686 | 4.2898 | 1.7406 |
| 0.40066 | 4.345 | 1.7122 |
| 0.40454 | 4.4038 | 1.6933 |
| 0.40849 | 4.4619 | 1.6797 |
| 0.41252 | 4.5133 | 1.6718 |
| 0.41663 | 4.5497 | 1.6718 |
| 0.42082 | 4.6498 | 1.9021 |
| 0.4251 | 4.5383 | 1.6536 |
| 0.42947 | 4.4401 | 1.4723 |
| 0.43392 | 4.3438 | 1.3145 |
| 0.43847 | 4.2505 | 1.1663 |
| 0.44312 | 4.1621 | 1.0214 |
| 0.44786 | 4.0796 | 0.87608 |
| 0.45271 | 4.004 | 0.72835 |
| 0.45767 | 3.9564 | 0.70431 |
| 0.46273 | 3.9135 | 0.68826 |
| 0.46791 | 3.8733 | 0.6715 |
| 0.4732 | 3.8358 | 0.65409 |
| 0.47862 | 3.8007 | 0.63611 |
| 0.48416 | 3.7678 | 0.61762 |
| 0.48983 | 3.737 | 0.59871 |
| 0.49564 | 3.708 | 0.57944 |
| 0.50158 | 3.6807 | 0.55989 |
| 0.50767 | 3.6551 | 0.54013 |
| 0.51391 | 3.631 | 0.52024 |
| 0.5203 | 3.6082 | 0.50028 |
| 0.52686 | 3.5869 | 0.48036 |
| 0.53358 | 3.5668 | 0.46053 |
| 0.54048 | 3.5479 | 0.44089 |
| 0.54756 | 3.5302 | 0.42154 |
| 0.55482 | 3.5136 | 0.40256 |
| 0.56228 | 3.4981 | 0.38406 |
| 0.56994 | 3.4837 | 0.36614 |
| 0.57782 | 3.4702 | 0.34892 |
| 0.58591 | 3.4578 | 0.33252 |
| 0.59424 | 3.4463 | 0.31707 |
| 0.60281 | 3.4358 | 0.30272 |
| 0.61162 | 3.4263 | 0.2896 |
| 0.6207 | 3.4176 | 0.27789 |
| 0.63005 | 3.4099 | 0.26775 |
| 0.63969 | 3.4031 | 0.25938 |
| 0.64963 | 3.3972 | 0.25296 |
| 0.65988 | 3.3922 | 0.24871 |
| 0.67046 | 3.3881 | 0.24687 |
| 0.68138 | 3.385 | 0.24749 |
| 0.69267 | 3.3826 | 0.24852 |
| 0.70433 | 3.3811 | 0.24932 |
| 0.7164 | 3.3803 | 0.24985 |
| 0.72889 | 3.3803 | 0.25004 |
| 0.74182 | 3.3811 | 0.24985 |
| 0.75521 | 3.3827 | 0.2492 |
| 0.7691 | 3.3852 | 0.24801 |
| 0.78351 | 3.3886 | 0.24617 |
| 0.79847 | 3.3928 | 0.24355 |
| 0.81402 | 3.3981 | 0.23999 |
| 0.83018 | 3.4043 | 0.23526 |
| 0.84699 | 3.4116 | 0.22907 |
| 0.8645 | 3.42 | 0.22097 |
| 0.88275 | 3.4295 | 0.21022 |
| 0.90179 | 3.4401 | 0.19531 |
| 0.92166 | 3.4517 | 0.16984 |
| 0.94243 | 3.4366 | 0.14982 |
| 0.96416 | 3.4364 | 0.13924 |
| 0.98691 | 3.4404 | 0.12474 |
| 1.0108 | 3.447 | 0.10406 |
| 1.0358 | 3.4558 | 0.070019 |
| 1.0621 | 3.4142 | 0.012004 |
| 1.0898 | 3.3792 | 0.011743 |
| 1.119 | 3.357 | 0.011438 |
| 1.1497 | 3.3399 | 0.011119 |
| 1.1822 | 3.3256 | 0.010794 |
| 1.2166 | 3.3132 | 0.010466 |
| 1.2531 | 3.3023 | 0.010137 |
| 1.2918 | 3.2924 | 0.0098087 |
| 1.3329 | 3.2834 | 0.009481 |
| 1.3768 | 3.2751 | 0.0091546 |
| 1.4237 | 3.2675 | 0.0088297 |
| 1.4739 | 3.2604 | 0.0085066 |
| 1.5277 | 3.2539 | 0.0081854 |
| 1.5857 | 3.2477 | 0.0078662 |
| 1.6482 | 3.242 | 0.007549 |
| 1.7158 | 3.2366 | 0.0072338 |
| 1.7892 | 3.2316 | 0.0069205 |
| 1.8692 | 3.2269 | 0.0066092 |
| 1.9566 | 3.2225 | 0.0062998 |
| 2.0527 | 3.2183 | 0.0059923 |
| 2.1586 | 3.2145 | 0.0056865 |
| 2.2761 | 3.2109 | 0.0053824 |
| 2.4071 | 3.2075 | 0.00508 |
| 2.5541 | 3.2043 | 0.0047792 |
| 2.7203 | 3.2014 | 0.0044798 |
| 2.9095 | 3.1987 | 0.0041819 |
| 3.1271 | 3.1962 | 0.0038852 |
| 3.3798 | 3.1939 | 0.0035898 |
| 3.677 | 3.1918 | 0.0032955 |
| 4.0315 | 3.1899 | 0.0030022 |
| 4.4616 | 3.1881 | 0.0027099 |
| 4.9945 | 3.1866 | 0.0024185 |
| 5.6719 | 3.1852 | 0.0021279 |
| 6.5619 | 3.184 | 0.0018379 |
| 7.7832 | 3.183 | 0.0015485 |
| 9.5631 | 3.1822 | 0.0012597 |
| 12.398 | 3.1815 | 0.0009712 |
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
- —
In1-xGaxAsyP1-y; x=0.48; y=0.24