Optical constants
Refractive index of GaS (Gallium sulfide)
Kato and Umemura 2011: n(o) 0.633–10.6 µm
- Data
- formula 4
- Range
- 0.633–10.59 µm
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.58133
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.66324
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00791101 µm⁻¹
- Group index ng
- 2.60182
- Group velocity dispersion
- 184.763 fs²/mm
- Dispersion parameter D
- -51.8819 ps/(nm·km)
- Photon energy
- 0.478703 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
# GaS (Gallium sulfide): Kato and Umemura 2011: n(o) 0.633–10.6 µm
gas = ls.fetch_refractiveindex("main", "GaS", "Kato-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gas.range_nm) # (633, 10591) nm
eps = gas.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_47bcc324a037/lightsmith"
gas = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gas.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gas/kato-umemura-2011-o).
# ... load gas as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gas)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=633, 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.
Dispersion formula
RefractiveIndex.INFO (formula 4), λ in µmValid from 0.633 to 10.591 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 7.12996 |
| C2 | 0.26073 |
| C3 | 0.0 |
| C4 | 0.04627 |
| C5 | 1.0 |
| C6 | 127.335 |
| C7 | 0.0 |
| C8 | 258.431 |
| C9 | 1.0 |
Comments and conditions
Conditions
- direction
- o
References
- doi:10.1364/ol.36.000746 Sellmeier equations for GaS and GaSe and their applications to the nonlinear optics in GaS_xSe_1−x, Optics Letters (2011)
Cite
Kiyoshi Kato and Nobuhiro Umemura. Sellmeier equations for GaS and GaSe and their applications to the nonlinear optics in GaS_xSe_1−x. Optics Letters, 36, 746 (2011), doi:10.1364/ol.36.000746; 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| λ (µm) | n |
|---|---|
| 0.633 | 2.715166 |
| 0.637485 | 2.713019 |
| 0.642002 | 2.710909 |
| 0.646552 | 2.708834 |
| 0.651133 | 2.706793 |
| 0.655747 | 2.704787 |
| 0.660393 | 2.702813 |
| 0.665073 | 2.700873 |
| 0.669785 | 2.698965 |
| 0.674531 | 2.697088 |
| 0.679311 | 2.695242 |
| 0.684125 | 2.693426 |
| 0.688972 | 2.69164 |
| 0.693854 | 2.689883 |
| 0.698771 | 2.688155 |
| 0.703722 | 2.686455 |
| 0.708709 | 2.684782 |
| 0.71373 | 2.683137 |
| 0.718788 | 2.681518 |
| 0.723881 | 2.679925 |
| 0.72901 | 2.678358 |
| 0.734176 | 2.676816 |
| 0.739378 | 2.675299 |
| 0.744617 | 2.673806 |
| 0.749894 | 2.672337 |
| 0.755207 | 2.670891 |
| 0.760559 | 2.669468 |
| 0.765948 | 2.668068 |
| 0.771375 | 2.66669 |
| 0.776841 | 2.665333 |
| 0.782346 | 2.663998 |
| 0.787889 | 2.662684 |
| 0.793472 | 2.661391 |
| 0.799095 | 2.660118 |
| 0.804757 | 2.658865 |
| 0.810459 | 2.657632 |
| 0.816202 | 2.656417 |
| 0.821986 | 2.655222 |
| 0.82781 | 2.654045 |
| 0.833676 | 2.652886 |
| 0.839583 | 2.651746 |
| 0.845532 | 2.650623 |
| 0.851524 | 2.649517 |
| 0.857557 | 2.648429 |
| 0.863634 | 2.647357 |
| 0.869753 | 2.646301 |
| 0.875916 | 2.645262 |
| 0.882123 | 2.644239 |
| 0.888374 | 2.643231 |
| 0.894669 | 2.642239 |
| 0.901008 | 2.641262 |
| 0.907392 | 2.6403 |
| 0.913822 | 2.639352 |
| 0.920297 | 2.638419 |
| 0.926818 | 2.6375 |
| 0.933386 | 2.636594 |
| 0.94 | 2.635703 |
| 0.94666 | 2.634825 |
| 0.953368 | 2.63396 |
| 0.960124 | 2.633108 |
| 0.966927 | 2.632269 |
| 0.973778 | 2.631442 |
| 0.980679 | 2.630628 |
| 0.987627 | 2.629826 |
| 0.994626 | 2.629036 |
| 1.00167 | 2.628258 |
| 1.00877 | 2.627491 |
| 1.01592 | 2.626736 |
| 1.02312 | 2.625992 |
| 1.03037 | 2.625259 |
| 1.03767 | 2.624536 |
| 1.04502 | 2.623825 |
| 1.05243 | 2.623124 |
| 1.05988 | 2.622433 |
| 1.06739 | 2.621753 |
| 1.07496 | 2.621082 |
| 1.08257 | 2.620421 |
| 1.09025 | 2.61977 |
| 1.09797 | 2.619129 |
| 1.10575 | 2.618497 |
| 1.11359 | 2.617874 |
| 1.12148 | 2.61726 |
| 1.12942 | 2.616655 |
| 1.13743 | 2.616059 |
| 1.14549 | 2.615472 |
| 1.1536 | 2.614893 |
| 1.16178 | 2.614322 |
| 1.17001 | 2.61376 |
| 1.1783 | 2.613205 |
| 1.18665 | 2.612659 |
| 1.19506 | 2.612121 |
| 1.20353 | 2.61159 |
| 1.21205 | 2.611067 |
| 1.22064 | 2.610551 |
| 1.22929 | 2.610043 |
| 1.238 | 2.609542 |
| 1.24677 | 2.609048 |
| 1.25561 | 2.608561 |
| 1.26451 | 2.608081 |
| 1.27347 | 2.607608 |
| 1.28249 | 2.607142 |
| 1.29158 | 2.606682 |
| 1.30073 | 2.606229 |
| 1.30995 | 2.605782 |
| 1.31923 | 2.605341 |
| 1.32858 | 2.604906 |
| 1.33799 | 2.604478 |
| 1.34747 | 2.604055 |
| 1.35702 | 2.603639 |
| 1.36663 | 2.603228 |
| 1.37632 | 2.602823 |
| 1.38607 | 2.602424 |
| 1.39589 | 2.60203 |
| 1.40578 | 2.601641 |
| 1.41574 | 2.601258 |
| 1.42578 | 2.60088 |
| 1.43588 | 2.600507 |
| 1.44605 | 2.60014 |
| 1.4563 | 2.599777 |
| 1.46662 | 2.599419 |
| 1.47701 | 2.599067 |
| 1.48748 | 2.598719 |
| 1.49802 | 2.598375 |
| 1.50863 | 2.598037 |
| 1.51932 | 2.597702 |
| 1.53009 | 2.597373 |
| 1.54093 | 2.597047 |
| 1.55185 | 2.596727 |
| 1.56284 | 2.59641 |
| 1.57392 | 2.596098 |
| 1.58507 | 2.595789 |
| 1.5963 | 2.595485 |
| 1.60761 | 2.595185 |
| 1.619 | 2.594888 |
| 1.63048 | 2.594596 |
| 1.64203 | 2.594307 |
| 1.65367 | 2.594022 |
| 1.66538 | 2.593741 |
| 1.67718 | 2.593464 |
| 1.68907 | 2.59319 |
| 1.70104 | 2.592919 |
| 1.71309 | 2.592652 |
| 1.72523 | 2.592388 |
| 1.73745 | 2.592128 |
| 1.74976 | 2.591871 |
| 1.76216 | 2.591617 |
| 1.77465 | 2.591366 |
| 1.78722 | 2.591119 |
| 1.79989 | 2.590874 |
| 1.81264 | 2.590633 |
| 1.82549 | 2.590394 |
| 1.83842 | 2.590159 |
| 1.85145 | 2.589926 |
| 1.86457 | 2.589696 |
| 1.87778 | 2.589469 |
| 1.89109 | 2.589244 |
| 1.90449 | 2.589022 |
| 1.91798 | 2.588803 |
| 1.93157 | 2.588586 |
| 1.94526 | 2.588372 |
| 1.95904 | 2.58816 |
| 1.97292 | 2.587951 |
| 1.9869 | 2.587744 |
| 2.00098 | 2.58754 |
| 2.01516 | 2.587338 |
| 2.02944 | 2.587138 |
| 2.04382 | 2.58694 |
| 2.0583 | 2.586744 |
| 2.07289 | 2.586551 |
| 2.08758 | 2.58636 |
| 2.10237 | 2.58617 |
| 2.11726 | 2.585983 |
| 2.13227 | 2.585798 |
| 2.14738 | 2.585614 |
| 2.16259 | 2.585433 |
| 2.17792 | 2.585253 |
| 2.19335 | 2.585075 |
| 2.20889 | 2.584899 |
| 2.22454 | 2.584725 |
| 2.2403 | 2.584552 |
| 2.25618 | 2.584381 |
| 2.27217 | 2.584212 |
| 2.28827 | 2.584044 |
| 2.30448 | 2.583878 |
| 2.32081 | 2.583714 |
| 2.33726 | 2.58355 |
| 2.35382 | 2.583389 |
| 2.3705 | 2.583229 |
| 2.38729 | 2.58307 |
| 2.40421 | 2.582912 |
| 2.42124 | 2.582756 |
| 2.4384 | 2.582601 |
| 2.45568 | 2.582447 |
| 2.47308 | 2.582295 |
| 2.4906 | 2.582144 |
| 2.50825 | 2.581994 |
| 2.52602 | 2.581845 |
| 2.54392 | 2.581697 |
| 2.56195 | 2.58155 |
| 2.5801 | 2.581405 |
| 2.59839 | 2.58126 |
| 2.6168 | 2.581116 |
| 2.63534 | 2.580973 |
| 2.65401 | 2.580831 |
| 2.67282 | 2.58069 |
| 2.69176 | 2.58055 |
| 2.71083 | 2.580411 |
| 2.73004 | 2.580272 |
| 2.74939 | 2.580135 |
| 2.76887 | 2.579998 |
| 2.78849 | 2.579861 |
| 2.80825 | 2.579726 |
| 2.82814 | 2.579591 |
| 2.84818 | 2.579456 |
| 2.86837 | 2.579322 |
| 2.88869 | 2.579189 |
| 2.90916 | 2.579056 |
| 2.92977 | 2.578924 |
| 2.95053 | 2.578792 |
| 2.97144 | 2.578661 |
| 2.9925 | 2.57853 |
| 3.0137 | 2.578399 |
| 3.03506 | 2.578269 |
| 3.05656 | 2.578139 |
| 3.07822 | 2.57801 |
| 3.10003 | 2.577881 |
| 3.122 | 2.577751 |
| 3.14412 | 2.577623 |
| 3.1664 | 2.577494 |
| 3.18884 | 2.577365 |
| 3.21143 | 2.577237 |
| 3.23419 | 2.577109 |
| 3.2571 | 2.576981 |
| 3.28018 | 2.576852 |
| 3.30343 | 2.576724 |
| 3.32683 | 2.576596 |
| 3.35041 | 2.576468 |
| 3.37415 | 2.576339 |
| 3.39806 | 2.576211 |
| 3.42213 | 2.576082 |
| 3.44638 | 2.575954 |
| 3.4708 | 2.575825 |
| 3.4954 | 2.575696 |
| 3.52017 | 2.575566 |
| 3.54511 | 2.575436 |
| 3.57023 | 2.575306 |
| 3.59553 | 2.575176 |
| 3.621 | 2.575045 |
| 3.64666 | 2.574914 |
| 3.6725 | 2.574782 |
| 3.69852 | 2.57465 |
| 3.72473 | 2.574518 |
| 3.75113 | 2.574384 |
| 3.77771 | 2.574251 |
| 3.80447 | 2.574116 |
| 3.83143 | 2.573981 |
| 3.85858 | 2.573846 |
| 3.88592 | 2.573709 |
| 3.91346 | 2.573572 |
| 3.94119 | 2.573434 |
| 3.96911 | 2.573295 |
| 3.99724 | 2.573156 |
| 4.02556 | 2.573015 |
| 4.05409 | 2.572874 |
| 4.08281 | 2.572732 |
| 4.11174 | 2.572588 |
| 4.14088 | 2.572444 |
| 4.17022 | 2.572299 |
| 4.19977 | 2.572152 |
| 4.22953 | 2.572004 |
| 4.2595 | 2.571855 |
| 4.28968 | 2.571705 |
| 4.32008 | 2.571554 |
| 4.35069 | 2.571401 |
| 4.38152 | 2.571247 |
| 4.41256 | 2.571092 |
| 4.44383 | 2.570935 |
| 4.47532 | 2.570776 |
| 4.50703 | 2.570616 |
| 4.53897 | 2.570455 |
| 4.57113 | 2.570292 |
| 4.60352 | 2.570127 |
| 4.63614 | 2.56996 |
| 4.66899 | 2.569792 |
| 4.70207 | 2.569622 |
| 4.73539 | 2.56945 |
| 4.76895 | 2.569276 |
| 4.80274 | 2.5691 |
| 4.83677 | 2.568922 |
| 4.87104 | 2.568742 |
| 4.90556 | 2.56856 |
| 4.94032 | 2.568375 |
| 4.97533 | 2.568189 |
| 5.01058 | 2.568 |
| 5.04608 | 2.567809 |
| 5.08184 | 2.567615 |
| 5.11785 | 2.567419 |
| 5.15411 | 2.56722 |
| 5.19064 | 2.567018 |
| 5.22742 | 2.566814 |
| 5.26446 | 2.566607 |
| 5.30176 | 2.566397 |
| 5.33933 | 2.566185 |
| 5.37716 | 2.565969 |
| 5.41526 | 2.56575 |
| 5.45363 | 2.565528 |
| 5.49228 | 2.565303 |
| 5.5312 | 2.565075 |
| 5.57039 | 2.564843 |
| 5.60986 | 2.564608 |
| 5.64961 | 2.564369 |
| 5.68964 | 2.564126 |
| 5.72996 | 2.56388 |
| 5.77056 | 2.56363 |
| 5.81145 | 2.563376 |
| 5.85263 | 2.563118 |
| 5.8941 | 2.562856 |
| 5.93587 | 2.562589 |
| 5.97793 | 2.562318 |
| 6.02028 | 2.562043 |
| 6.06294 | 2.561763 |
| 6.1059 | 2.561479 |
| 6.14917 | 2.561189 |
| 6.19274 | 2.560895 |
| 6.23662 | 2.560596 |
| 6.28082 | 2.560291 |
| 6.32532 | 2.559982 |
| 6.37014 | 2.559666 |
| 6.41528 | 2.559345 |
| 6.46074 | 2.559019 |
| 6.50652 | 2.558686 |
| 6.55262 | 2.558347 |
| 6.59905 | 2.558002 |
| 6.64581 | 2.557651 |
| 6.6929 | 2.557293 |
| 6.74033 | 2.556929 |
| 6.78809 | 2.556557 |
| 6.83619 | 2.556179 |
| 6.88463 | 2.555793 |
| 6.93341 | 2.555399 |
| 6.98254 | 2.554998 |
| 7.03202 | 2.554589 |
| 7.08185 | 2.554172 |
| 7.13203 | 2.553746 |
| 7.18256 | 2.553312 |
| 7.23346 | 2.552869 |
| 7.28471 | 2.552417 |
| 7.33633 | 2.551955 |
| 7.38832 | 2.551484 |
| 7.44067 | 2.551003 |
| 7.49339 | 2.550511 |
| 7.54649 | 2.550009 |
| 7.59996 | 2.549497 |
| 7.65382 | 2.548973 |
| 7.70805 | 2.548437 |
| 7.76267 | 2.54789 |
| 7.81767 | 2.54733 |
| 7.87307 | 2.546758 |
| 7.92886 | 2.546173 |
| 7.98504 | 2.545574 |
| 8.04162 | 2.544961 |
| 8.0986 | 2.544334 |
| 8.15599 | 2.543692 |
| 8.21378 | 2.543035 |
| 8.27198 | 2.542363 |
| 8.33059 | 2.541673 |
| 8.38962 | 2.540967 |
| 8.44907 | 2.540244 |
| 8.50894 | 2.539503 |
| 8.56923 | 2.538742 |
| 8.62995 | 2.537963 |
| 8.6911 | 2.537163 |
| 8.75269 | 2.536343 |
| 8.81471 | 2.535501 |
| 8.87717 | 2.534637 |
| 8.94007 | 2.53375 |
| 9.00342 | 2.532838 |
| 9.06722 | 2.531902 |
| 9.13147 | 2.53094 |
| 9.19617 | 2.529951 |
| 9.26133 | 2.528934 |
| 9.32696 | 2.527888 |
| 9.39305 | 2.526811 |
| 9.4596 | 2.525703 |
| 9.52663 | 2.524562 |
| 9.59414 | 2.523387 |
| 9.66212 | 2.522177 |
| 9.73059 | 2.520929 |
| 9.79954 | 2.519642 |
| 9.86897 | 2.518314 |
| 9.9389 | 2.516944 |
| 10.0093 | 2.51553 |
| 10.0803 | 2.514069 |
| 10.1517 | 2.512559 |
| 10.2236 | 2.510999 |
| 10.2961 | 2.509385 |
| 10.369 | 2.507714 |
| 10.4425 | 2.505985 |
| 10.5165 | 2.504193 |
| 10.591 | 2.502337 |
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
- —
Room temperature. Ordinary ray (o).