Optical constants
Refractive index of GaP (Gallium phosphide)
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
- 3.40873
- Extinction coefficient k
- 0
- Permittivity ε1
- 11.6194
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.34454 µm⁻¹
- Group index ng
- 4.19878
- 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): Adachi 1989: n,k 0.207–12.4 µm
gap = ls.fetch_refractiveindex("main", "GaP", "Adachi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gap.range_nm) # (206.64, 12398) 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_633800a22adb/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/adachi-1989).
# ... 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=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.
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 | 1.7732 | 2.8544 |
| 0.20767 | 1.7879 | 2.8769 |
| 0.2087 | 1.8033 | 2.9003 |
| 0.20975 | 1.8193 | 2.9247 |
| 0.21081 | 1.836 | 2.95 |
| 0.21188 | 1.8536 | 2.9764 |
| 0.21295 | 1.8722 | 3.0039 |
| 0.21404 | 1.8918 | 3.0325 |
| 0.21515 | 1.9125 | 3.0624 |
| 0.21626 | 1.9346 | 3.0936 |
| 0.21738 | 1.9582 | 3.1262 |
| 0.21852 | 1.9835 | 3.1603 |
| 0.21967 | 2.0107 | 3.1958 |
| 0.22083 | 2.0401 | 3.2329 |
| 0.222 | 2.0719 | 3.2715 |
| 0.22318 | 2.1067 | 3.3118 |
| 0.22438 | 2.1447 | 3.3537 |
| 0.22559 | 2.1863 | 3.3971 |
| 0.22681 | 2.2322 | 3.4418 |
| 0.22805 | 2.2829 | 3.4878 |
| 0.2293 | 2.339 | 3.5347 |
| 0.23057 | 2.4013 | 3.5821 |
| 0.23184 | 2.4705 | 3.6292 |
| 0.23314 | 2.5473 | 3.6754 |
| 0.23444 | 2.6325 | 3.7194 |
| 0.23577 | 2.7266 | 3.7599 |
| 0.2371 | 2.8302 | 3.7951 |
| 0.23845 | 2.9432 | 3.8228 |
| 0.23982 | 3.0651 | 3.8407 |
| 0.2412 | 3.1949 | 3.8462 |
| 0.2426 | 3.3304 | 3.8368 |
| 0.24402 | 3.4687 | 3.8104 |
| 0.24545 | 3.606 | 3.7657 |
| 0.2469 | 3.738 | 3.7026 |
| 0.24837 | 3.8603 | 3.6223 |
| 0.24985 | 3.969 | 3.5276 |
| 0.25135 | 4.0613 | 3.4222 |
| 0.25287 | 4.1356 | 3.3105 |
| 0.25441 | 4.1919 | 3.197 |
| 0.25597 | 4.2315 | 3.0856 |
| 0.25755 | 4.2563 | 2.9795 |
| 0.25914 | 4.2691 | 2.8807 |
| 0.26076 | 4.2723 | 2.7907 |
| 0.26239 | 4.2685 | 2.71 |
| 0.26405 | 4.2601 | 2.6385 |
| 0.26573 | 4.2488 | 2.5759 |
| 0.26743 | 4.2363 | 2.5216 |
| 0.26915 | 4.2238 | 2.4747 |
| 0.27089 | 4.2121 | 2.4346 |
| 0.27266 | 4.2021 | 2.4003 |
| 0.27445 | 4.1942 | 2.3712 |
| 0.27626 | 4.1888 | 2.3465 |
| 0.2781 | 4.1862 | 2.3256 |
| 0.27996 | 4.1866 | 2.3079 |
| 0.28185 | 4.1901 | 2.293 |
| 0.28376 | 4.1968 | 2.2803 |
| 0.2857 | 4.2068 | 2.2694 |
| 0.28766 | 4.2202 | 2.2601 |
| 0.28966 | 4.237 | 2.2519 |
| 0.29168 | 4.2573 | 2.2446 |
| 0.29372 | 4.2812 | 2.238 |
| 0.2958 | 4.3088 | 2.2317 |
| 0.29791 | 4.3402 | 2.2256 |
| 0.30005 | 4.3756 | 2.2194 |
| 0.30222 | 4.4152 | 2.2129 |
| 0.30442 | 4.4594 | 2.2059 |
| 0.30665 | 4.5085 | 2.1982 |
| 0.30891 | 4.563 | 2.1894 |
| 0.31121 | 4.6234 | 2.1794 |
| 0.31354 | 4.6906 | 2.1678 |
| 0.31591 | 4.7655 | 2.1542 |
| 0.31832 | 4.8495 | 2.1381 |
| 0.32076 | 4.9442 | 2.1191 |
| 0.32324 | 5.0518 | 2.0964 |
| 0.32576 | 5.1745 | 2.0696 |
| 0.32831 | 5.3134 | 2.0388 |
| 0.33091 | 5.4621 | 2.0068 |
| 0.33355 | 5.5873 | 1.9858 |
| 0.33623 | 5.5495 | 1.7832 |
| 0.33896 | 5.4062 | 1.5869 |
| 0.34173 | 5.2469 | 1.4668 |
| 0.34454 | 5.0978 | 1.3683 |
| 0.34741 | 4.9655 | 1.2774 |
| 0.35032 | 4.8488 | 1.1893 |
| 0.35328 | 4.7451 | 1.1018 |
| 0.35629 | 4.6523 | 1.0139 |
| 0.35935 | 4.5686 | 0.92485 |
| 0.36246 | 4.4926 | 0.83421 |
| 0.36563 | 4.4125 | 0.67305 |
| 0.36886 | 4.351 | 0.57938 |
| 0.37214 | 4.2953 | 0.48329 |
| 0.37548 | 4.2449 | 0.38462 |
| 0.37888 | 4.1998 | 0.28323 |
| 0.38235 | 4.1614 | 0.21213 |
| 0.38588 | 4.1297 | 0.20928 |
| 0.38947 | 4.1003 | 0.20596 |
| 0.39313 | 4.0731 | 0.20215 |
| 0.39686 | 4.0479 | 0.19781 |
| 0.40066 | 4.0245 | 0.19288 |
| 0.40454 | 4.0028 | 0.18729 |
| 0.40849 | 3.9827 | 0.18097 |
| 0.41252 | 3.964 | 0.17379 |
| 0.41663 | 3.9467 | 0.16561 |
| 0.42082 | 3.9308 | 0.15617 |
| 0.4251 | 3.916 | 0.14513 |
| 0.42947 | 3.9025 | 0.13179 |
| 0.43392 | 3.89 | 0.11427 |
| 0.43847 | 3.8662 | 0.08986 |
| 0.44312 | 3.8453 | 0.077149 |
| 0.44786 | 3.8285 | 0.059733 |
| 0.45271 | 3.805 | 0.018467 |
| 0.45767 | 3.7572 | 0.01682 |
| 0.46273 | 3.7265 | 0.015122 |
| 0.46791 | 3.7002 | 0.013448 |
| 0.4732 | 3.6764 | 0.011817 |
| 0.47862 | 3.6544 | 0.010242 |
| 0.48416 | 3.6338 | 0.0087334 |
| 0.48983 | 3.6143 | 0.0073031 |
| 0.49564 | 3.5958 | 0.005962 |
| 0.50158 | 3.5781 | 0.004722 |
| 0.50767 | 3.5612 | 0.0035952 |
| 0.51391 | 3.5449 | 0.0025945 |
| 0.5203 | 3.5293 | 0.0017339 |
| 0.52686 | 3.5143 | 0.001028 |
| 0.53358 | 3.4998 | 0.00049262 |
| 0.54048 | 3.4858 | 0.00014469 |
| 0.54756 | 3.4723 | 2.4128e-06 |
| 0.55482 | 3.4593 | 0.0 |
| 0.56228 | 3.4466 | 0.0 |
| 0.56994 | 3.4343 | 0.0 |
| 0.57782 | 3.4225 | 0.0 |
| 0.58591 | 3.411 | 0.0 |
| 0.59424 | 3.3998 | 0.0 |
| 0.60281 | 3.3889 | 0.0 |
| 0.61162 | 3.3784 | 0.0 |
| 0.6207 | 3.3682 | 0.0 |
| 0.63005 | 3.3583 | 0.0 |
| 0.63969 | 3.3486 | 0.0 |
| 0.64963 | 3.3393 | 0.0 |
| 0.65988 | 3.3302 | 0.0 |
| 0.67046 | 3.3213 | 0.0 |
| 0.68138 | 3.3127 | 0.0 |
| 0.69267 | 3.3043 | 0.0 |
| 0.70433 | 3.2962 | 0.0 |
| 0.7164 | 3.2883 | 0.0 |
| 0.72889 | 3.2806 | 0.0 |
| 0.74182 | 3.2731 | 0.0 |
| 0.75521 | 3.2658 | 0.0 |
| 0.7691 | 3.2587 | 0.0 |
| 0.78351 | 3.2518 | 0.0 |
| 0.79847 | 3.2451 | 0.0 |
| 0.81402 | 3.2386 | 0.0 |
| 0.83018 | 3.2323 | 0.0 |
| 0.84699 | 3.2261 | 0.0 |
| 0.8645 | 3.2202 | 0.0 |
| 0.88275 | 3.2143 | 0.0 |
| 0.90179 | 3.2087 | 0.0 |
| 0.92166 | 3.2032 | 0.0 |
| 0.94243 | 3.1979 | 0.0 |
| 0.96416 | 3.1927 | 0.0 |
| 0.98691 | 3.1877 | 0.0 |
| 1.0108 | 3.1828 | 0.0 |
| 1.0358 | 3.1781 | 0.0 |
| 1.0621 | 3.1735 | 0.0 |
| 1.0898 | 3.1691 | 0.0 |
| 1.119 | 3.1648 | 0.0 |
| 1.1497 | 3.1607 | 0.0 |
| 1.1822 | 3.1566 | 0.0 |
| 1.2166 | 3.1528 | 0.0 |
| 1.2531 | 3.149 | 0.0 |
| 1.2918 | 3.1454 | 0.0 |
| 1.3329 | 3.1419 | 0.0 |
| 1.3768 | 3.1385 | 0.0 |
| 1.4237 | 3.1352 | 0.0 |
| 1.4739 | 3.1321 | 0.0 |
| 1.5277 | 3.1291 | 0.0 |
| 1.5857 | 3.1262 | 0.0 |
| 1.6482 | 3.1234 | 0.0 |
| 1.7158 | 3.1208 | 0.0 |
| 1.7892 | 3.1183 | 0.0 |
| 1.8692 | 3.1158 | 0.0 |
| 1.9566 | 3.1135 | 0.0 |
| 2.0527 | 3.1113 | 0.0 |
| 2.1586 | 3.1092 | 0.0 |
| 2.2761 | 3.1073 | 0.0 |
| 2.4071 | 3.1054 | 0.0 |
| 2.5541 | 3.1036 | 0.0 |
| 2.7203 | 3.102 | 0.0 |
| 2.9095 | 3.1004 | 0.0 |
| 3.1271 | 3.099 | 0.0 |
| 3.3798 | 3.0977 | 0.0 |
| 3.677 | 3.0965 | 0.0 |
| 4.0315 | 3.0953 | 0.0 |
| 4.4616 | 3.0943 | 0.0 |
| 4.9945 | 3.0934 | 0.0 |
| 5.6719 | 3.0926 | 0.0 |
| 6.5619 | 3.0919 | 0.0 |
| 7.7832 | 3.0913 | 0.0 |
| 9.5631 | 3.0908 | 0.0 |
| 12.398 | 3.0904 | 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
- —