Optical constants
Refractive index of GaP-InP (Gallium indium phosphide, GaInP)
Ferrini et al. 2002: n 0.689–24.8 µm
- Data
- formula 1
- Range
- 0.689–24.8 µm
- State
- gas
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.06087
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.3689
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00327547 µm⁻¹
- Group index ng
- 3.07439
- Group velocity dispersion
- 301.319 fs²/mm
- Dispersion parameter D
- -33.2757 ps/(nm·km)
- Photon energy
- 0.300204 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): Ferrini et al. 2002: n 0.689–24.8 µm
gap_inp = ls.fetch_refractiveindex("other", "GaP-InP", "Ferrini-IR", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gap_inp.range_nm) # (689, 24800) nm
eps = gap_inp.eps([4130]) # complex permittivityDownloads 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_27bc27f99fe1/lightsmith"
gap_inp = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gap_inp.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (gap-inp/ferrini-2002-ir).
# ... 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=689, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_27bc27f99fe1/lightsmith?model=drude_lorentz"
gap_inp_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))A dispersive Drude–Lorentz model for time-domain solvers.
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.
Dispersion formula
Sellmeier (formula 1), λ in µmValid from 0.689 to 24.8 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 5.058 |
| C2 | 3.27 |
| C3 | 0.459 |
Comments and conditions
Conditions
- substrate
- GaAs
- film thickness
- 3.15e-6
References
R. Ferrini, G. Guizzetti, M. Patrini, A. Parisini, L. Tarricone, B. Valenti.
Optical functions of InGaP/GaAs epitaxial layers from 0.01 to 5.5 eV.
Eur. Phys. J. B 84, 449-458 (2002)
- doi:10.1140/epjb/e2002-00177-x Optical functions of InGaP/GaAs epitaxial layers from 0.01 to 5.5 eV, The European Physical Journal B - Condensed Matter (2002)
Cite
R. Ferrini et al.. Optical functions of InGaP/GaAs epitaxial layers from 0.01 to 5.5 eV. The European Physical Journal B - Condensed Matter, 27, 449-458 (2002), doi:10.1140/epjb/e2002-00177-x; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 400 wavelengths, the same grid as the API and the library
CSV comma separated
TXT tab separated
YAML n, k
Full database record original YAML
All quantities CSV
JSON metadata
| λ (µm) | n |
|---|---|
| 0.689 | 3.455022 |
| 0.695216 | 3.443086 |
| 0.701487 | 3.431644 |
| 0.707816 | 3.420669 |
| 0.714201 | 3.410133 |
| 0.720644 | 3.400013 |
| 0.727145 | 3.390285 |
| 0.733705 | 3.380929 |
| 0.740324 | 3.371925 |
| 0.747003 | 3.363255 |
| 0.753742 | 3.354901 |
| 0.760541 | 3.346849 |
| 0.767402 | 3.339082 |
| 0.774325 | 3.331588 |
| 0.781311 | 3.324354 |
| 0.788359 | 3.317366 |
| 0.795471 | 3.310614 |
| 0.802648 | 3.304087 |
| 0.809888 | 3.297775 |
| 0.817195 | 3.291669 |
| 0.824567 | 3.285758 |
| 0.832005 | 3.280036 |
| 0.839511 | 3.274494 |
| 0.847085 | 3.269124 |
| 0.854727 | 3.26392 |
| 0.862437 | 3.258874 |
| 0.870218 | 3.253981 |
| 0.878068 | 3.249234 |
| 0.885989 | 3.244627 |
| 0.893982 | 3.240155 |
| 0.902047 | 3.235813 |
| 0.910185 | 3.231596 |
| 0.918396 | 3.227499 |
| 0.926681 | 3.223518 |
| 0.935041 | 3.219648 |
| 0.943476 | 3.215886 |
| 0.951987 | 3.212228 |
| 0.960575 | 3.20867 |
| 0.969241 | 3.205208 |
| 0.977985 | 3.201839 |
| 0.986808 | 3.198561 |
| 0.99571 | 3.195369 |
| 1.00469 | 3.192261 |
| 1.01376 | 3.189235 |
| 1.0229 | 3.186287 |
| 1.03213 | 3.183415 |
| 1.04144 | 3.180616 |
| 1.05084 | 3.177889 |
| 1.06032 | 3.175231 |
| 1.06988 | 3.172639 |
| 1.07953 | 3.170112 |
| 1.08927 | 3.167647 |
| 1.0991 | 3.165244 |
| 1.10901 | 3.162899 |
| 1.11902 | 3.160611 |
| 1.12911 | 3.158379 |
| 1.1393 | 3.1562 |
| 1.14958 | 3.154074 |
| 1.15995 | 3.151998 |
| 1.17041 | 3.149972 |
| 1.18097 | 3.147993 |
| 1.19162 | 3.14606 |
| 1.20237 | 3.144173 |
| 1.21322 | 3.14233 |
| 1.22417 | 3.140529 |
| 1.23521 | 3.138769 |
| 1.24635 | 3.13705 |
| 1.2576 | 3.13537 |
| 1.26894 | 3.133729 |
| 1.28039 | 3.132124 |
| 1.29194 | 3.130555 |
| 1.3036 | 3.129022 |
| 1.31536 | 3.127522 |
| 1.32722 | 3.126057 |
| 1.33919 | 3.124623 |
| 1.35128 | 3.123221 |
| 1.36347 | 3.12185 |
| 1.37577 | 3.120509 |
| 1.38818 | 3.119197 |
| 1.4007 | 3.117913 |
| 1.41334 | 3.116658 |
| 1.42609 | 3.115429 |
| 1.43895 | 3.114227 |
| 1.45193 | 3.113051 |
| 1.46503 | 3.111899 |
| 1.47825 | 3.110772 |
| 1.49158 | 3.10967 |
| 1.50504 | 3.10859 |
| 1.51862 | 3.107533 |
| 1.53232 | 3.106498 |
| 1.54614 | 3.105486 |
| 1.56009 | 3.104494 |
| 1.57416 | 3.103523 |
| 1.58836 | 3.102572 |
| 1.60269 | 3.10164 |
| 1.61715 | 3.100728 |
| 1.63174 | 3.099835 |
| 1.64646 | 3.09896 |
| 1.66131 | 3.098103 |
| 1.6763 | 3.097264 |
| 1.69142 | 3.096441 |
| 1.70668 | 3.095636 |
| 1.72208 | 3.094847 |
| 1.73761 | 3.094073 |
| 1.75329 | 3.093316 |
| 1.76911 | 3.092573 |
| 1.78507 | 3.091846 |
| 1.80117 | 3.091133 |
| 1.81742 | 3.090435 |
| 1.83381 | 3.08975 |
| 1.85036 | 3.089079 |
| 1.86705 | 3.088421 |
| 1.88389 | 3.087777 |
| 1.90089 | 3.087145 |
| 1.91804 | 3.086526 |
| 1.93534 | 3.085919 |
| 1.9528 | 3.085324 |
| 1.97042 | 3.08474 |
| 1.98819 | 3.084169 |
| 2.00613 | 3.083608 |
| 2.02423 | 3.083058 |
| 2.04249 | 3.082519 |
| 2.06091 | 3.081991 |
| 2.07951 | 3.081473 |
| 2.09827 | 3.080964 |
| 2.11719 | 3.080466 |
| 2.13629 | 3.079978 |
| 2.15557 | 3.079499 |
| 2.17501 | 3.079029 |
| 2.19463 | 3.078568 |
| 2.21443 | 3.078116 |
| 2.23441 | 3.077673 |
| 2.25457 | 3.077238 |
| 2.27491 | 3.076812 |
| 2.29543 | 3.076394 |
| 2.31614 | 3.075983 |
| 2.33703 | 3.075581 |
| 2.35811 | 3.075186 |
| 2.37939 | 3.074799 |
| 2.40085 | 3.074419 |
| 2.42251 | 3.074047 |
| 2.44436 | 3.073681 |
| 2.46642 | 3.073323 |
| 2.48867 | 3.072971 |
| 2.51112 | 3.072626 |
| 2.53377 | 3.072288 |
| 2.55663 | 3.071955 |
| 2.57969 | 3.071629 |
| 2.60297 | 3.07131 |
| 2.62645 | 3.070996 |
| 2.65014 | 3.070688 |
| 2.67405 | 3.070386 |
| 2.69817 | 3.07009 |
| 2.72251 | 3.069799 |
| 2.74707 | 3.069514 |
| 2.77186 | 3.069234 |
| 2.79686 | 3.068959 |
| 2.82209 | 3.068689 |
| 2.84755 | 3.068425 |
| 2.87324 | 3.068165 |
| 2.89916 | 3.06791 |
| 2.92532 | 3.06766 |
| 2.95171 | 3.067415 |
| 2.97833 | 3.067174 |
| 3.0052 | 3.066937 |
| 3.03231 | 3.066705 |
| 3.05967 | 3.066478 |
| 3.08727 | 3.066254 |
| 3.11512 | 3.066035 |
| 3.14322 | 3.06582 |
| 3.17158 | 3.065608 |
| 3.20019 | 3.065401 |
| 3.22906 | 3.065197 |
| 3.25819 | 3.064998 |
| 3.28758 | 3.064801 |
| 3.31724 | 3.064609 |
| 3.34717 | 3.06442 |
| 3.37736 | 3.064235 |
| 3.40783 | 3.064053 |
| 3.43858 | 3.063874 |
| 3.4696 | 3.063698 |
| 3.5009 | 3.063526 |
| 3.53248 | 3.063357 |
| 3.56435 | 3.063191 |
| 3.5965 | 3.063028 |
| 3.62895 | 3.062869 |
| 3.66168 | 3.062712 |
| 3.69472 | 3.062558 |
| 3.72805 | 3.062406 |
| 3.76168 | 3.062258 |
| 3.79562 | 3.062112 |
| 3.82986 | 3.061969 |
| 3.86441 | 3.061828 |
| 3.89927 | 3.06169 |
| 3.93445 | 3.061555 |
| 3.96994 | 3.061422 |
| 4.00575 | 3.061291 |
| 4.04189 | 3.061163 |
| 4.07835 | 3.061038 |
| 4.11515 | 3.060914 |
| 4.15227 | 3.060793 |
| 4.18973 | 3.060674 |
| 4.22753 | 3.060557 |
| 4.26566 | 3.060442 |
| 4.30415 | 3.060329 |
| 4.34297 | 3.060219 |
| 4.38215 | 3.06011 |
| 4.42169 | 3.060003 |
| 4.46158 | 3.059899 |
| 4.50182 | 3.059796 |
| 4.54244 | 3.059695 |
| 4.58342 | 3.059596 |
| 4.62476 | 3.059498 |
| 4.66649 | 3.059403 |
| 4.70858 | 3.059309 |
| 4.75106 | 3.059217 |
| 4.79392 | 3.059126 |
| 4.83717 | 3.059038 |
| 4.88081 | 3.05895 |
| 4.92484 | 3.058865 |
| 4.96927 | 3.058781 |
| 5.0141 | 3.058698 |
| 5.05933 | 3.058617 |
| 5.10497 | 3.058537 |
| 5.15102 | 3.058459 |
| 5.19749 | 3.058382 |
| 5.24438 | 3.058307 |
| 5.29169 | 3.058233 |
| 5.33943 | 3.05816 |
| 5.3876 | 3.058089 |
| 5.4362 | 3.058019 |
| 5.48524 | 3.05795 |
| 5.53473 | 3.057882 |
| 5.58466 | 3.057816 |
| 5.63504 | 3.057751 |
| 5.68587 | 3.057687 |
| 5.73717 | 3.057624 |
| 5.78892 | 3.057562 |
| 5.84115 | 3.057502 |
| 5.89384 | 3.057442 |
| 5.94701 | 3.057384 |
| 6.00066 | 3.057326 |
| 6.0548 | 3.05727 |
| 6.10942 | 3.057215 |
| 6.16453 | 3.05716 |
| 6.22015 | 3.057107 |
| 6.27626 | 3.057055 |
| 6.33288 | 3.057003 |
| 6.39001 | 3.056953 |
| 6.44766 | 3.056903 |
| 6.50582 | 3.056854 |
| 6.56451 | 3.056806 |
| 6.62373 | 3.056759 |
| 6.68349 | 3.056713 |
| 6.74378 | 3.056668 |
| 6.80462 | 3.056623 |
| 6.86601 | 3.05658 |
| 6.92795 | 3.056537 |
| 6.99045 | 3.056495 |
| 7.05351 | 3.056453 |
| 7.11714 | 3.056413 |
| 7.18135 | 3.056373 |
| 7.24613 | 3.056333 |
| 7.3115 | 3.056295 |
| 7.37746 | 3.056257 |
| 7.44401 | 3.05622 |
| 7.51117 | 3.056183 |
| 7.57893 | 3.056148 |
| 7.6473 | 3.056112 |
| 7.71629 | 3.056078 |
| 7.7859 | 3.056044 |
| 7.85614 | 3.056011 |
| 7.92701 | 3.055978 |
| 7.99852 | 3.055946 |
| 8.07068 | 3.055914 |
| 8.14349 | 3.055883 |
| 8.21695 | 3.055853 |
| 8.29108 | 3.055823 |
| 8.36588 | 3.055793 |
| 8.44135 | 3.055765 |
| 8.5175 | 3.055736 |
| 8.59434 | 3.055708 |
| 8.67187 | 3.055681 |
| 8.7501 | 3.055654 |
| 8.82904 | 3.055628 |
| 8.90869 | 3.055602 |
| 8.98906 | 3.055577 |
| 9.07015 | 3.055552 |
| 9.15198 | 3.055527 |
| 9.23454 | 3.055503 |
| 9.31785 | 3.055479 |
| 9.4019 | 3.055456 |
| 9.48672 | 3.055433 |
| 9.5723 | 3.055411 |
| 9.65866 | 3.055389 |
| 9.74579 | 3.055367 |
| 9.83371 | 3.055346 |
| 9.92242 | 3.055325 |
| 10.0119 | 3.055305 |
| 10.1023 | 3.055285 |
| 10.1934 | 3.055265 |
| 10.2854 | 3.055246 |
| 10.3781 | 3.055226 |
| 10.4718 | 3.055208 |
| 10.5662 | 3.055189 |
| 10.6616 | 3.055171 |
| 10.7577 | 3.055154 |
| 10.8548 | 3.055136 |
| 10.9527 | 3.055119 |
| 11.0515 | 3.055102 |
| 11.1512 | 3.055086 |
| 11.2518 | 3.05507 |
| 11.3533 | 3.055054 |
| 11.4557 | 3.055038 |
| 11.5591 | 3.055023 |
| 11.6634 | 3.055008 |
| 11.7686 | 3.054993 |
| 11.8747 | 3.054978 |
| 11.9819 | 3.054964 |
| 12.09 | 3.05495 |
| 12.199 | 3.054936 |
| 12.3091 | 3.054923 |
| 12.4201 | 3.05491 |
| 12.5322 | 3.054896 |
| 12.6452 | 3.054884 |
| 12.7593 | 3.054871 |
| 12.8744 | 3.054859 |
| 12.9906 | 3.054847 |
| 13.1077 | 3.054835 |
| 13.226 | 3.054823 |
| 13.3453 | 3.054811 |
| 13.4657 | 3.0548 |
| 13.5872 | 3.054789 |
| 13.7098 | 3.054778 |
| 13.8334 | 3.054767 |
| 13.9582 | 3.054757 |
| 14.0842 | 3.054747 |
| 14.2112 | 3.054736 |
| 14.3394 | 3.054726 |
| 14.4688 | 3.054717 |
| 14.5993 | 3.054707 |
| 14.731 | 3.054698 |
| 14.8639 | 3.054688 |
| 14.998 | 3.054679 |
| 15.1333 | 3.05467 |
| 15.2698 | 3.054662 |
| 15.4076 | 3.054653 |
| 15.5466 | 3.054644 |
| 15.6868 | 3.054636 |
| 15.8283 | 3.054628 |
| 15.9711 | 3.05462 |
| 16.1152 | 3.054612 |
| 16.2606 | 3.054604 |
| 16.4073 | 3.054597 |
| 16.5553 | 3.054589 |
| 16.7046 | 3.054582 |
| 16.8553 | 3.054575 |
| 17.0074 | 3.054568 |
| 17.1608 | 3.054561 |
| 17.3156 | 3.054554 |
| 17.4718 | 3.054547 |
| 17.6295 | 3.054541 |
| 17.7885 | 3.054534 |
| 17.949 | 3.054528 |
| 18.1109 | 3.054522 |
| 18.2743 | 3.054515 |
| 18.4391 | 3.054509 |
| 18.6055 | 3.054503 |
| 18.7733 | 3.054498 |
| 18.9427 | 3.054492 |
| 19.1136 | 3.054486 |
| 19.286 | 3.054481 |
| 19.46 | 3.054475 |
| 19.6355 | 3.05447 |
| 19.8127 | 3.054465 |
| 19.9914 | 3.05446 |
| 20.1718 | 3.054455 |
| 20.3537 | 3.05445 |
| 20.5374 | 3.054445 |
| 20.7226 | 3.05444 |
| 20.9096 | 3.054436 |
| 21.0982 | 3.054431 |
| 21.2885 | 3.054426 |
| 21.4806 | 3.054422 |
| 21.6744 | 3.054418 |
| 21.8699 | 3.054413 |
| 22.0672 | 3.054409 |
| 22.2663 | 3.054405 |
| 22.4672 | 3.054401 |
| 22.6698 | 3.054397 |
| 22.8743 | 3.054393 |
| 23.0807 | 3.054389 |
| 23.2889 | 3.054385 |
| 23.499 | 3.054382 |
| 23.711 | 3.054378 |
| 23.9249 | 3.054375 |
| 24.1407 | 3.054371 |
| 24.3585 | 3.054368 |
| 24.5783 | 3.054364 |
| 24.8 | 3.054361 |
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. Undoped lattice matched film grown lattice matched on GaAs substrates, by metal-organic vapour phase epitaxy (MOVPE) at 700 °C.