Optical constants
Refractive index of GaP-InP (Gallium indium phosphide, GaInP)
Ferrini et al. 2002: n,k 15.5–124 µm
- Data
- tabulated nk
- Range
- 15.5–124 µm
- Points
- 256
- State
- gas
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 3.66333
- Extinction coefficient k
- 0.0401218
- Permittivity ε1
- 13.4184
- Permittivity ε2
- 0.293959
- Absorption coefficient α
- 115.111 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 173746 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0351042 µm⁻¹
- Group index ng
- 5.2009
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 0.0283069 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,k 15.5–124 µm
gap_inp = ls.fetch_refractiveindex("other", "GaP-InP", "Ferrini-far-IR", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gap_inp.range_nm) # (15498, 123984) nm
eps = gap_inp.eps([43800]) # 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_2b445f074ca9/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/ferrini-2002-far-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=15500, stop_nm=124000, 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
Conditions
- substrate
- GaAs
- film thickness
- 3.15e-6
References
[Calculation script (Python)]
- 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; [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
256 rows as published| λ (µm) | n | k |
|---|---|---|
| 15.498025 | 2.884886 | 0.0040992 |
| 15.551387 | 2.88319 | 0.0041611 |
| 15.605119 | 2.881467 | 0.0042243 |
| 15.659223 | 2.879717 | 0.004289 |
| 15.713703 | 2.87794 | 0.004355 |
| 15.768564 | 2.876134 | 0.0044226 |
| 15.823809 | 2.8743 | 0.0044917 |
| 15.879443 | 2.872436 | 0.0045624 |
| 15.935469 | 2.870541 | 0.0046347 |
| 15.991892 | 2.868616 | 0.0047087 |
| 16.048716 | 2.866659 | 0.0047844 |
| 16.105945 | 2.86467 | 0.0048619 |
| 16.163584 | 2.862647 | 0.0049413 |
| 16.221637 | 2.86059 | 0.0050225 |
| 16.280108 | 2.858498 | 0.0051058 |
| 16.339003 | 2.856371 | 0.005191 |
| 16.398325 | 2.854207 | 0.0052784 |
| 16.458079 | 2.852005 | 0.0053679 |
| 16.518271 | 2.849765 | 0.0054596 |
| 16.578904 | 2.847485 | 0.0055537 |
| 16.639984 | 2.845165 | 0.0056501 |
| 16.701516 | 2.842803 | 0.0057491 |
| 16.763505 | 2.840398 | 0.0058506 |
| 16.825955 | 2.837949 | 0.0059547 |
| 16.888873 | 2.835456 | 0.0060616 |
| 16.952263 | 2.832916 | 0.0061713 |
| 17.01613 | 2.830329 | 0.006284 |
| 17.080481 | 2.827693 | 0.0063998 |
| 17.14532 | 2.825006 | 0.0065187 |
| 17.210653 | 2.822269 | 0.0066408 |
| 17.276487 | 2.819478 | 0.0067664 |
| 17.342825 | 2.816632 | 0.0068956 |
| 17.409675 | 2.813731 | 0.0070284 |
| 17.477043 | 2.810772 | 0.007165 |
| 17.544934 | 2.807753 | 0.0073056 |
| 17.613354 | 2.804673 | 0.0074503 |
| 17.68231 | 2.80153 | 0.0075992 |
| 17.751808 | 2.798322 | 0.0077527 |
| 17.821855 | 2.795047 | 0.0079108 |
| 17.892456 | 2.791703 | 0.0080737 |
| 17.96362 | 2.788287 | 0.0082416 |
| 18.035351 | 2.784799 | 0.0084148 |
| 18.107658 | 2.781234 | 0.0085935 |
| 18.180546 | 2.777591 | 0.0087778 |
| 18.254024 | 2.773867 | 0.0089681 |
| 18.328099 | 2.77006 | 0.0091647 |
| 18.402777 | 2.766167 | 0.0093677 |
| 18.478066 | 2.762184 | 0.0095775 |
| 18.553973 | 2.758109 | 0.0097944 |
| 18.630507 | 2.753938 | 0.010019 |
| 18.707675 | 2.749669 | 0.010251 |
| 18.785484 | 2.745297 | 0.010491 |
| 18.863944 | 2.740819 | 0.01074 |
| 18.943062 | 2.736231 | 0.010998 |
| 19.022846 | 2.73153 | 0.011265 |
| 19.103305 | 2.72671 | 0.011542 |
| 19.184448 | 2.721767 | 0.011829 |
| 19.266283 | 2.716697 | 0.012128 |
| 19.348819 | 2.711495 | 0.012438 |
| 19.432065 | 2.706155 | 0.012759 |
| 19.516031 | 2.700672 | 0.013094 |
| 19.600726 | 2.695041 | 0.013442 |
| 19.686158 | 2.689254 | 0.013804 |
| 19.772339 | 2.683306 | 0.014182 |
| 19.859278 | 2.67719 | 0.014575 |
| 19.946984 | 2.670898 | 0.014984 |
| 20.035469 | 2.664423 | 0.015412 |
| 20.124742 | 2.657757 | 0.015858 |
| 20.214815 | 2.650891 | 0.016325 |
| 20.305697 | 2.643816 | 0.016812 |
| 20.3974 | 2.636522 | 0.017322 |
| 20.489935 | 2.628999 | 0.017856 |
| 20.583314 | 2.621237 | 0.018416 |
| 20.677548 | 2.613222 | 0.019002 |
| 20.772648 | 2.604943 | 0.019618 |
| 20.868627 | 2.596387 | 0.020265 |
| 20.965498 | 2.587538 | 0.020945 |
| 21.063271 | 2.578382 | 0.021661 |
| 21.161961 | 2.568902 | 0.022415 |
| 21.261581 | 2.559081 | 0.023211 |
| 21.362142 | 2.548898 | 0.02405 |
| 21.463659 | 2.538335 | 0.024938 |
| 21.566146 | 2.527368 | 0.025877 |
| 21.669616 | 2.515974 | 0.026872 |
| 21.774084 | 2.504126 | 0.027927 |
| 21.879564 | 2.491797 | 0.029048 |
| 21.986071 | 2.478956 | 0.030241 |
| 22.09362 | 2.465569 | 0.031511 |
| 22.202226 | 2.4516 | 0.032867 |
| 22.311906 | 2.43701 | 0.034316 |
| 22.422674 | 2.421753 | 0.035867 |
| 22.534548 | 2.405783 | 0.037532 |
| 22.647543 | 2.389046 | 0.039321 |
| 22.761678 | 2.371483 | 0.041248 |
| 22.876968 | 2.35303 | 0.043329 |
| 22.993433 | 2.333613 | 0.045581 |
| 23.111089 | 2.313152 | 0.048025 |
| 23.229956 | 2.291556 | 0.050684 |
| 23.350052 | 2.268723 | 0.053587 |
| 23.471396 | 2.244536 | 0.056766 |
| 23.594008 | 2.218864 | 0.06026 |
| 23.717907 | 2.191557 | 0.064117 |
| 23.843115 | 2.162441 | 0.068392 |
| 23.969652 | 2.131317 | 0.073154 |
| 24.097538 | 2.097951 | 0.078488 |
| 24.226797 | 2.062069 | 0.084499 |
| 24.35745 | 2.023347 | 0.09132 |
| 24.48952 | 1.981396 | 0.099123 |
| 24.62303 | 1.935748 | 0.10813 |
| 24.758003 | 1.885828 | 0.11865 |
| 24.894465 | 1.830925 | 0.13107 |
| 25.032439 | 1.770147 | 0.14599 |
| 25.171951 | 1.702356 | 0.16422 |
| 25.313027 | 1.626084 | 0.18704 |
| 25.455693 | 1.53943 | 0.21641 |
| 25.599976 | 1.439962 | 0.25562 |
| 25.745904 | 1.324823 | 0.31043 |
| 25.893506 | 1.191817 | 0.39139 |
| 26.042809 | 1.044428 | 0.51727 |
| 26.193845 | 0.905797 | 0.71178 |
| 26.346642 | 0.8238 | 0.97606 |
| 26.501232 | 0.836438 | 1.2782 |
| 26.657648 | 0.975301 | 1.5793 |
| 26.815921 | 1.286094 | 1.7801 |
| 26.976084 | 1.646993 | 1.6609 |
| 27.138172 | 1.672418 | 1.3299 |
| 27.30222 | 1.415688 | 1.1735 |
| 27.468263 | 1.117153 | 1.2453 |
| 27.636338 | 0.894424 | 1.4655 |
| 27.806482 | 0.768823 | 1.7427 |
| 27.978735 | 0.711396 | 2.0309 |
| 28.153135 | 0.696496 | 2.3212 |
| 28.329723 | 0.711225 | 2.6173 |
| 28.50854 | 0.750952 | 2.926 |
| 28.689628 | 0.816261 | 3.2548 |
| 28.873032 | 0.912137 | 3.6126 |
| 29.058796 | 1.048848 | 4.0096 |
| 29.246966 | 1.244807 | 4.458 |
| 29.437589 | 1.532697 | 4.9711 |
| 29.630713 | 1.971793 | 5.5578 |
| 29.826387 | 2.670006 | 6.2002 |
| 30.024663 | 3.801707 | 6.7734 |
| 30.225593 | 5.48059 | 6.8593 |
| 30.42923 | 7.186265 | 5.862 |
| 30.63563 | 7.912279 | 4.1771 |
| 30.844849 | 7.754061 | 2.7946 |
| 31.056945 | 7.310065 | 1.9163 |
| 31.271979 | 6.85665 | 1.3767 |
| 31.49001 | 6.46247 | 1.0333 |
| 31.711104 | 6.132535 | 0.80411 |
| 31.935324 | 5.857405 | 0.64434 |
| 32.162737 | 5.626357 | 0.52867 |
| 32.393412 | 5.430335 | 0.44226 |
| 32.62742 | 5.262243 | 0.37597 |
| 32.864834 | 5.116627 | 0.32399 |
| 33.105728 | 4.989295 | 0.28244 |
| 33.35018 | 4.877003 | 0.2487 |
| 33.598268 | 4.777214 | 0.22091 |
| 33.850075 | 4.687923 | 0.19774 |
| 34.105685 | 4.607526 | 0.17822 |
| 34.365185 | 4.534728 | 0.16162 |
| 34.628664 | 4.46847 | 0.14738 |
| 34.896214 | 4.407883 | 0.13508 |
| 35.167931 | 4.352241 | 0.12438 |
| 35.443913 | 4.300939 | 0.11501 |
| 35.72426 | 4.253464 | 0.10677 |
| 36.009078 | 4.209381 | 0.099487 |
| 36.298473 | 4.168319 | 0.093019 |
| 36.592558 | 4.129956 | 0.087254 |
| 36.891447 | 4.094015 | 0.082095 |
| 37.195259 | 4.060255 | 0.077466 |
| 37.504117 | 4.028465 | 0.073299 |
| 37.818146 | 3.998459 | 0.06954 |
| 38.137479 | 3.970073 | 0.066139 |
| 38.462251 | 3.943164 | 0.063058 |
| 38.792602 | 3.917601 | 0.060262 |
| 39.128676 | 3.893269 | 0.05772 |
| 39.470625 | 3.870066 | 0.055407 |
| 39.818602 | 3.847897 | 0.053302 |
| 40.17277 | 3.82668 | 0.051383 |
| 40.533295 | 3.806338 | 0.049635 |
| 40.90035 | 3.786802 | 0.048043 |
| 41.274113 | 3.76801 | 0.046593 |
| 41.65477 | 3.749903 | 0.045274 |
| 42.042514 | 3.73243 | 0.044077 |
| 42.437544 | 3.715541 | 0.042992 |
| 42.840068 | 3.699192 | 0.042012 |
| 43.250301 | 3.683341 | 0.04113 |
| 43.668467 | 3.667951 | 0.040339 |
| 44.094798 | 3.652985 | 0.039635 |
| 44.529536 | 3.63841 | 0.039012 |
| 44.972931 | 3.624194 | 0.038467 |
| 45.425245 | 3.610308 | 0.037996 |
| 45.886749 | 3.596725 | 0.037596 |
| 46.357728 | 3.583418 | 0.037265 |
| 46.838475 | 3.570362 | 0.037 |
| 47.329297 | 3.557533 | 0.036799 |
| 47.830515 | 3.544909 | 0.036661 |
| 48.342462 | 3.532468 | 0.036585 |
| 48.865487 | 3.520188 | 0.03657 |
| 49.399954 | 3.50805 | 0.036615 |
| 49.946241 | 3.496033 | 0.03672 |
| 50.504745 | 3.484118 | 0.036885 |
| 51.075881 | 3.472285 | 0.03711 |
| 51.660082 | 3.460517 | 0.037396 |
| 52.257802 | 3.448795 | 0.037744 |
| 52.869516 | 3.4371 | 0.038155 |
| 53.49572 | 3.425414 | 0.03863 |
| 54.136936 | 3.413717 | 0.039171 |
| 54.793709 | 3.401993 | 0.03978 |
| 55.466615 | 3.390222 | 0.04046 |
| 56.156253 | 3.378384 | 0.041213 |
| 56.863256 | 3.36646 | 0.042042 |
| 57.588288 | 3.354431 | 0.042951 |
| 58.332049 | 3.342275 | 0.043944 |
| 59.095272 | 3.329972 | 0.045025 |
| 59.878732 | 3.317498 | 0.046198 |
| 60.683244 | 3.304831 | 0.04747 |
| 61.50967 | 3.291948 | 0.048846 |
| 62.358916 | 3.278822 | 0.050333 |
| 63.231941 | 3.265427 | 0.051938 |
| 64.129757 | 3.251735 | 0.053669 |
| 65.053437 | 3.237717 | 0.055536 |
| 66.004113 | 3.22334 | 0.057549 |
| 66.982988 | 3.208571 | 0.059718 |
| 67.991334 | 3.193375 | 0.062056 |
| 69.030503 | 3.177713 | 0.064576 |
| 70.10193 | 3.161542 | 0.067295 |
| 71.20714 | 3.14482 | 0.070229 |
| 72.347758 | 3.127498 | 0.073398 |
| 73.525512 | 3.109523 | 0.076822 |
| 74.742247 | 3.09084 | 0.080526 |
| 75.999929 | 3.071388 | 0.084537 |
| 77.300661 | 3.051098 | 0.088886 |
| 78.646692 | 3.029898 | 0.093607 |
| 80.040431 | 3.007708 | 0.098739 |
| 81.48446 | 2.98444 | 0.10433 |
| 82.981549 | 2.959997 | 0.11042 |
| 84.53468 | 2.934272 | 0.11708 |
| 86.147058 | 2.907145 | 0.12438 |
| 87.82214 | 2.878486 | 0.13239 |
| 89.563655 | 2.848149 | 0.1412 |
| 91.375637 | 2.815968 | 0.15091 |
| 93.262449 | 2.781763 | 0.16167 |
| 95.228826 | 2.745328 | 0.1736 |
| 97.279909 | 2.706431 | 0.18689 |
| 99.42129 | 2.664815 | 0.20175 |
| 101.659069 | 2.620186 | 0.21842 |
| 103.999902 | 2.572214 | 0.23723 |
| 106.451079 | 2.520525 | 0.25856 |
| 109.020587 | 2.464701 | 0.28287 |
| 111.71721 | 2.404273 | 0.31076 |
| 114.550617 | 2.338724 | 0.34298 |
| 117.531488 | 2.267497 | 0.38051 |
| 120.671642 | 2.19002 | 0.42459 |
| 123.984197 | 2.105764 | 0.47687 |
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.