Optical constants
Refractive index of GaP-InP (Gallium indium phosphide, GaInP)
Schubert et al. 1995: n,k 0.250–0.954 µm
- Data
- tabulated nk
- Range
- 0.2496–0.9539 µm
- Points
- 98
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.60363
- Extinction coefficient k
- 0.171757
- Permittivity ε1
- 12.9566
- Permittivity ε2
- 1.2379
- Absorption coefficient α
- 36731.9 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 544.485 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 0 µm⁻¹
- Group index ng
- 3.60363
- 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
# GaP-InP (Gallium indium phosphide, GaInP): Schubert et al. 1995: n,k 0.250–0.954 µm
gap_inp = ls.fetch_refractiveindex("other", "GaP-InP", "Schubert", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gap_inp.range_nm) # (249.61, 953.95) nm
eps = gap_inp.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_e731ec3584fc/lightsmith"
gap_inp = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gap_inp.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gap-inp/schubert-1995).
# ... load gap_inp as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gap_inp)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=953, 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:10.1063/1.358632 Optical constants of Ga<i>x</i>In1−<i>x</i>P lattice matched to GaAs, Journal of Applied Physics (1995)
Cite
Mathias Schubert et al.. Optical constants of Ga<i>x</i>In1−<i>x</i>P lattice matched to GaAs. Journal of Applied Physics, 77, 3416-3419 (1995), doi:10.1063/1.358632; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
98 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.24961 | 3.02554 | 3.74166 |
| 0.25184 | 3.19836 | 3.68781 |
| 0.25476 | 3.46011 | 3.55863 |
| 0.25742 | 3.59851 | 3.40791 |
| 0.25979 | 3.74968 | 3.2895 |
| 0.2629 | 3.88834 | 3.08494 |
| 0.26466 | 3.91787 | 2.92344 |
| 0.26644 | 3.94779 | 2.82656 |
| 0.27046 | 3.97665 | 2.622 |
| 0.27383 | 3.96469 | 2.42825 |
| 0.27846 | 3.91411 | 2.26675 |
| 0.28244 | 3.87378 | 2.14835 |
| 0.28737 | 3.80658 | 2.06219 |
| 0.29465 | 3.729 | 1.95456 |
| 0.30278 | 3.68883 | 1.86844 |
| 0.31039 | 3.67616 | 1.85766 |
| 0.31788 | 3.67616 | 1.85766 |
| 0.329 | 3.7071 | 1.85766 |
| 0.34329 | 3.84155 | 1.86844 |
| 0.35564 | 4.00669 | 1.84687 |
| 0.36283 | 4.13426 | 1.82534 |
| 0.36892 | 4.27275 | 1.73925 |
| 0.37738 | 4.42574 | 1.62081 |
| 0.38623 | 4.57061 | 1.39475 |
| 0.39004 | 4.58864 | 1.19019 |
| 0.39473 | 4.59041 | 1.04537 |
| 0.40114 | 4.54576 | 0.88749 |
| 0.41002 | 4.44523 | 0.71528 |
| 0.42532 | 4.26053 | 0.55737 |
| 0.43788 | 4.15118 | 0.47125 |
| 0.45538 | 4.02608 | 0.38516 |
| 0.47584 | 3.90357 | 0.34209 |
| 0.51025 | 3.7811 | 0.22725 |
| 0.54396 | 3.68379 | 0.21291 |
| 0.57342 | 3.61762 | 0.16984 |
| 0.58562 | 3.60363 | 0.17149 |
| 0.60605 | 3.60363 | 0.17425 |
| 0.60804 | 3.60363 | 0.17305 |
| 0.60974 | 3.60363 | 0.17126 |
| 0.61222 | 3.60363 | 0.17066 |
| 0.61426 | 3.60363 | 0.16767 |
| 0.61694 | 3.60363 | 0.16707 |
| 0.6198 | 3.60363 | 0.16587 |
| 0.62334 | 3.60363 | 0.16407 |
| 0.62594 | 3.60363 | 0.16048 |
| 0.62971 | 3.60363 | 0.15689 |
| 0.63352 | 3.60363 | 0.1521 |
| 0.63604 | 3.60363 | 0.1485 |
| 0.63908 | 3.60363 | 0.14431 |
| 0.64113 | 3.60363 | 0.14012 |
| 0.64371 | 3.60313 | 0.13294 |
| 0.64613 | 3.60157 | 0.12755 |
| 0.64787 | 3.60045 | 0.12156 |
| 0.65015 | 3.59899 | 0.11497 |
| 0.65209 | 3.59774 | 0.10599 |
| 0.65386 | 3.5966 | 0.0982 |
| 0.65565 | 3.59546 | 0.08802 |
| 0.65762 | 3.59419 | 0.07844 |
| 0.65942 | 3.59231 | 0.06707 |
| 0.66106 | 3.58809 | 0.05629 |
| 0.66307 | 3.58288 | 0.04311 |
| 0.66508 | 3.57768 | 0.02874 |
| 0.66637 | 3.57434 | 0.02036 |
| 0.66674 | 3.57339 | 0.01677 |
| 0.66765 | 3.57103 | 0.01111 |
| 0.67347 | 3.55982 | 0.00488 |
| 0.6746 | 3.55869 | 0.0 |
| 0.67937 | 3.55398 | 0.0 |
| 0.69328 | 3.51979 | 0.0 |
| 0.69974 | 3.4952 | 0.0 |
| 0.70425 | 3.4799 | 0.0 |
| 0.70945 | 3.46525 | 0.0 |
| 0.71448 | 3.4536 | 0.0 |
| 0.72056 | 3.43863 | 0.0 |
| 0.73094 | 3.4191 | 0.0 |
| 0.73902 | 3.40408 | 0.0 |
| 0.74641 | 3.39356 | 0.0 |
| 0.7535 | 3.38004 | 0.0 |
| 0.76347 | 3.36651 | 0.0 |
| 0.77229 | 3.35599 | 0.0 |
| 0.78133 | 3.34698 | 0.0 |
| 0.79205 | 3.33195 | 0.0 |
| 0.79903 | 3.32594 | 0.0 |
| 0.80767 | 3.31693 | 0.0 |
| 0.81861 | 3.30641 | 0.0 |
| 0.83094 | 3.29439 | 0.0 |
| 0.8414 | 3.28387 | 0.0 |
| 0.85328 | 3.27486 | 0.0 |
| 0.86609 | 3.26584 | 0.0 |
| 0.87564 | 3.25833 | 0.0 |
| 0.88418 | 3.25532 | 0.0 |
| 0.89858 | 3.24631 | 0.0 |
| 0.90692 | 3.2403 | 0.0 |
| 0.91675 | 3.23729 | 0.0 |
| 0.92611 | 3.23129 | 0.0 |
| 0.93223 | 3.23129 | 0.0 |
| 0.94262 | 3.22227 | 0.0 |
| 0.95395 | 3.21926 | 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
- —
Ga0.51In0.49P; Eg=1.85±0.2 eV; Room temperature.