Optical constants
Refractive index of GaP (Gallium phosphide)
Jellison 1992: n,k 0.234–0.840 µm
- Data
- tabulated nk
- Range
- 0.234–0.84 µm
- Points
- 187
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.37932
- Extinction coefficient k
- -0.002
- Permittivity ε1
- 11.4198
- Permittivity ε2
- -0.0135173
- Absorption coefficient α
- -427.719 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.8 µm⁻¹
- Group index ng
- 4.437
- 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 (Gallium phosphide): Jellison 1992: n,k 0.234–0.840 µm
gap = ls.fetch_refractiveindex("main", "GaP", "Jellison", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gap.range_nm) # (234, 840) nm
eps = gap.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_08a7b04e7b75/lightsmith"
gap = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gap.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gap/jellison-1992).
# ... load gap as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gap)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=840, 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
- k < 0 at some wavelengths in the source data (gain, or a sign convention issue)
References
- doi:10.1016/0925-3467(92)90022-f Optical functions of GaAs, GaP, and Ge determined by two-channel polarization modulation ellipsometry, Optical Materials (1992)
Cite
G.E. Jellison. Optical functions of GaAs, GaP, and Ge determined by two-channel polarization modulation ellipsometry. Optical Materials, 1, 151-160 (1992), doi:10.1016/0925-3467(92)90022-f; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
187 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.234 | 2.629 | 4.189 |
| 0.236 | 2.807 | 4.174 |
| 0.238 | 3.003 | 4.153 |
| 0.24 | 3.21 | 4.106 |
| 0.242 | 3.435 | 4.024 |
| 0.244 | 3.593 | 3.879 |
| 0.246 | 3.729 | 3.728 |
| 0.248 | 3.816 | 3.583 |
| 0.25 | 3.909 | 3.478 |
| 0.252 | 3.978 | 3.347 |
| 0.254 | 4.038 | 3.265 |
| 0.256 | 4.117 | 3.161 |
| 0.258 | 4.194 | 3.063 |
| 0.26 | 4.216 | 2.914 |
| 0.262 | 4.302 | 2.776 |
| 0.264 | 4.306 | 2.634 |
| 0.266 | 4.289 | 2.505 |
| 0.268 | 4.257 | 2.383 |
| 0.27 | 4.209 | 2.29 |
| 0.272 | 4.157 | 2.221 |
| 0.274 | 4.112 | 2.154 |
| 0.276 | 4.06 | 2.114 |
| 0.278 | 4.025 | 2.082 |
| 0.28 | 3.989 | 2.059 |
| 0.282 | 3.954 | 2.04 |
| 0.284 | 3.926 | 2.029 |
| 0.286 | 3.898 | 2.024 |
| 0.288 | 3.878 | 2.02 |
| 0.29 | 3.862 | 2.022 |
| 0.292 | 3.855 | 2.019 |
| 0.294 | 3.842 | 2.027 |
| 0.296 | 3.836 | 2.032 |
| 0.298 | 3.833 | 2.042 |
| 0.3 | 3.834 | 2.054 |
| 0.302 | 3.838 | 2.066 |
| 0.304 | 3.844 | 2.084 |
| 0.306 | 3.852 | 2.102 |
| 0.308 | 3.865 | 2.123 |
| 0.31 | 3.886 | 2.146 |
| 0.312 | 3.907 | 2.17 |
| 0.314 | 3.937 | 2.199 |
| 0.316 | 3.963 | 2.239 |
| 0.318 | 4.001 | 2.276 |
| 0.32 | 4.055 | 2.328 |
| 0.322 | 4.122 | 2.383 |
| 0.324 | 4.219 | 2.438 |
| 0.326 | 4.357 | 2.496 |
| 0.328 | 4.516 | 2.528 |
| 0.33 | 4.71 | 2.522 |
| 0.332 | 4.924 | 2.461 |
| 0.334 | 5.137 | 2.336 |
| 0.336 | 5.309 | 2.16 |
| 0.338 | 5.434 | 1.923 |
| 0.34 | 5.483 | 1.678 |
| 0.342 | 5.472 | 1.446 |
| 0.344 | 5.417 | 1.257 |
| 0.346 | 5.344 | 1.103 |
| 0.348 | 5.264 | 0.977 |
| 0.35 | 5.186 | 0.874 |
| 0.352 | 5.107 | 0.794 |
| 0.354 | 5.036 | 0.726 |
| 0.356 | 4.97 | 0.668 |
| 0.358 | 4.906 | 0.615 |
| 0.36 | 4.853 | 0.576 |
| 0.362 | 4.799 | 0.539 |
| 0.364 | 4.749 | 0.503 |
| 0.366 | 4.702 | 0.474 |
| 0.368 | 4.657 | 0.448 |
| 0.37 | 4.615 | 0.426 |
| 0.372 | 4.577 | 0.404 |
| 0.374 | 4.54 | 0.385 |
| 0.376 | 4.504 | 0.366 |
| 0.378 | 4.474 | 0.351 |
| 0.38 | 4.439 | 0.336 |
| 0.382 | 4.405 | 0.32 |
| 0.384 | 4.376 | 0.309 |
| 0.386 | 4.351 | 0.297 |
| 0.388 | 4.324 | 0.287 |
| 0.39 | 4.301 | 0.275 |
| 0.392 | 4.276 | 0.266 |
| 0.394 | 4.257 | 0.257 |
| 0.396 | 4.234 | 0.248 |
| 0.398 | 4.214 | 0.239 |
| 0.4 | 4.194 | 0.231 |
| 0.402 | 4.174 | 0.224 |
| 0.404 | 4.155 | 0.216 |
| 0.406 | 4.138 | 0.209 |
| 0.408 | 4.122 | 0.202 |
| 0.41 | 4.106 | 0.197 |
| 0.412 | 4.09 | 0.191 |
| 0.414 | 4.077 | 0.184 |
| 0.416 | 4.063 | 0.178 |
| 0.418 | 4.049 | 0.173 |
| 0.42 | 4.036 | 0.167 |
| 0.422 | 4.025 | 0.163 |
| 0.424 | 4.013 | 0.157 |
| 0.426 | 3.995 | 0.15 |
| 0.428 | 3.987 | 0.144 |
| 0.43 | 3.98 | 0.136 |
| 0.432 | 3.969 | 0.129 |
| 0.434 | 3.961 | 0.123 |
| 0.436 | 3.953 | 0.116 |
| 0.438 | 3.945 | 0.107 |
| 0.44 | 3.938 | 0.097 |
| 0.442 | 3.929 | 0.085 |
| 0.444 | 3.917 | 0.073 |
| 0.446 | 3.904 | 0.062 |
| 0.448 | 3.89 | 0.053 |
| 0.45 | 3.875 | 0.045 |
| 0.455 | 3.839 | 0.022 |
| 0.46 | 3.798 | 0.01 |
| 0.465 | 3.761 | 0.006 |
| 0.47 | 3.729 | 0.003 |
| 0.475 | 3.702 | 0.002 |
| 0.48 | 3.677 | 0.0 |
| 0.485 | 3.649 | 0.0 |
| 0.49 | 3.628 | 0.0 |
| 0.495 | 3.609 | 0.0 |
| 0.5 | 3.59 | -0.001 |
| 0.505 | 3.573 | -0.001 |
| 0.51 | 3.557 | -0.002 |
| 0.515 | 3.541 | -0.002 |
| 0.52 | 3.527 | -0.002 |
| 0.525 | 3.514 | -0.002 |
| 0.53 | 3.502 | -0.003 |
| 0.535 | 3.486 | -0.002 |
| 0.54 | 3.476 | -0.002 |
| 0.545 | 3.463 | -0.002 |
| 0.55 | 3.452 | -0.002 |
| 0.555 | 3.441 | -0.002 |
| 0.56 | 3.431 | -0.003 |
| 0.565 | 3.422 | -0.002 |
| 0.57 | 3.41 | -0.002 |
| 0.575 | 3.403 | -0.002 |
| 0.58 | 3.393 | -0.002 |
| 0.585 | 3.384 | -0.002 |
| 0.59 | 3.375 | -0.002 |
| 0.595 | 3.368 | -0.002 |
| 0.6 | 3.361 | -0.002 |
| 0.605 | 3.355 | -0.001 |
| 0.61 | 3.347 | -0.002 |
| 0.615 | 3.341 | -0.001 |
| 0.62 | 3.335 | -0.002 |
| 0.625 | 3.329 | -0.002 |
| 0.63 | 3.319 | -0.002 |
| 0.635 | 3.315 | -0.001 |
| 0.64 | 3.31 | -0.001 |
| 0.645 | 3.304 | -0.002 |
| 0.65 | 3.3 | -0.001 |
| 0.655 | 3.295 | -0.001 |
| 0.66 | 3.29 | -0.001 |
| 0.665 | 3.284 | -0.001 |
| 0.67 | 3.28 | -0.002 |
| 0.675 | 3.276 | -0.001 |
| 0.68 | 3.273 | 0.0 |
| 0.685 | 3.27 | -0.001 |
| 0.69 | 3.263 | -0.001 |
| 0.695 | 3.26 | -0.001 |
| 0.7 | 3.257 | 0.0 |
| 0.705 | 3.253 | -0.002 |
| 0.71 | 3.249 | 0.0 |
| 0.715 | 3.247 | 0.0 |
| 0.72 | 3.24 | 0.0 |
| 0.725 | 3.238 | 0.0 |
| 0.73 | 3.233 | 0.0 |
| 0.735 | 3.23 | 0.0 |
| 0.74 | 3.227 | 0.0 |
| 0.745 | 3.224 | 0.0 |
| 0.75 | 3.222 | 0.0 |
| 0.755 | 3.22 | 0.0 |
| 0.76 | 3.217 | 0.0 |
| 0.765 | 3.213 | 0.0 |
| 0.77 | 3.21 | 0.0 |
| 0.775 | 3.207 | 0.0 |
| 0.78 | 3.205 | 0.0 |
| 0.785 | 3.201 | 0.0 |
| 0.79 | 3.201 | 0.0 |
| 0.795 | 3.198 | 0.0 |
| 0.8 | 3.197 | 0.0 |
| 0.805 | 3.194 | 0.0 |
| 0.81 | 3.191 | 0.0 |
| 0.815 | 3.19 | -0.001 |
| 0.82 | 3.188 | 0.0 |
| 0.825 | 3.183 | 0.0 |
| 0.83 | 3.18 | 0.002 |
| 0.835 | 3.182 | 0.004 |
| 0.84 | 3.187 | 0.006 |
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
- —
Crysal orientation: <100>; Room temperature