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

Range 0.633–10.59 µm
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.

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 µm
n2=7.12996+0.26073λ0.0λ2−0.046271.0+127.335λ0.0λ2−258.4311.0

Valid from 0.633 to 10.591 µm.

Coefficients as stored
CiValue
C17.12996
C20.26073
C30.0
C40.04627
C51.0
C6127.335
C70.0
C8258.431
C91.0

Comments and conditions

Room temperature. Ordinary ray (o).

Conditions

direction
o

References

K. Kato and N. Umemura. Sellmeier equations for GaS and GaSe and their applications to the nonlinear optics in GaSxSe1−x. Opt. Lett. 36, 746-747 (2011)
  • 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
GaS (Gallium sulfide), Kato and Umemura 2011: n(o) 0.633–10.6 µm: n and k versus wavelength
λ (µm)n
0.6332.715166
0.6374852.713019
0.6420022.710909
0.6465522.708834
0.6511332.706793
0.6557472.704787
0.6603932.702813
0.6650732.700873
0.6697852.698965
0.6745312.697088
0.6793112.695242
0.6841252.693426
0.6889722.69164
0.6938542.689883
0.6987712.688155
0.7037222.686455
0.7087092.684782
0.713732.683137
0.7187882.681518
0.7238812.679925
0.729012.678358
0.7341762.676816
0.7393782.675299
0.7446172.673806
0.7498942.672337
0.7552072.670891
0.7605592.669468
0.7659482.668068
0.7713752.66669
0.7768412.665333
0.7823462.663998
0.7878892.662684
0.7934722.661391
0.7990952.660118
0.8047572.658865
0.8104592.657632
0.8162022.656417
0.8219862.655222
0.827812.654045
0.8336762.652886
0.8395832.651746
0.8455322.650623
0.8515242.649517
0.8575572.648429
0.8636342.647357
0.8697532.646301
0.8759162.645262
0.8821232.644239
0.8883742.643231
0.8946692.642239
0.9010082.641262
0.9073922.6403
0.9138222.639352
0.9202972.638419
0.9268182.6375
0.9333862.636594
0.942.635703
0.946662.634825
0.9533682.63396
0.9601242.633108
0.9669272.632269
0.9737782.631442
0.9806792.630628
0.9876272.629826
0.9946262.629036
1.001672.628258
1.008772.627491
1.015922.626736
1.023122.625992
1.030372.625259
1.037672.624536
1.045022.623825
1.052432.623124
1.059882.622433
1.067392.621753
1.074962.621082
1.082572.620421
1.090252.61977
1.097972.619129
1.105752.618497
1.113592.617874
1.121482.61726
1.129422.616655
1.137432.616059
1.145492.615472
1.15362.614893
1.161782.614322
1.170012.61376
1.17832.613205
1.186652.612659
1.195062.612121
1.203532.61159
1.212052.611067
1.220642.610551
1.229292.610043
1.2382.609542
1.246772.609048
1.255612.608561
1.264512.608081
1.273472.607608
1.282492.607142
1.291582.606682
1.300732.606229
1.309952.605782
1.319232.605341
1.328582.604906
1.337992.604478
1.347472.604055
1.357022.603639
1.366632.603228
1.376322.602823
1.386072.602424
1.395892.60203
1.405782.601641
1.415742.601258
1.425782.60088
1.435882.600507
1.446052.60014
1.45632.599777
1.466622.599419
1.477012.599067
1.487482.598719
1.498022.598375
1.508632.598037
1.519322.597702
1.530092.597373
1.540932.597047
1.551852.596727
1.562842.59641
1.573922.596098
1.585072.595789
1.59632.595485
1.607612.595185
1.6192.594888
1.630482.594596
1.642032.594307
1.653672.594022
1.665382.593741
1.677182.593464
1.689072.59319
1.701042.592919
1.713092.592652
1.725232.592388
1.737452.592128
1.749762.591871
1.762162.591617
1.774652.591366
1.787222.591119
1.799892.590874
1.812642.590633
1.825492.590394
1.838422.590159
1.851452.589926
1.864572.589696
1.877782.589469
1.891092.589244
1.904492.589022
1.917982.588803
1.931572.588586
1.945262.588372
1.959042.58816
1.972922.587951
1.98692.587744
2.000982.58754
2.015162.587338
2.029442.587138
2.043822.58694
2.05832.586744
2.072892.586551
2.087582.58636
2.102372.58617
2.117262.585983
2.132272.585798
2.147382.585614
2.162592.585433
2.177922.585253
2.193352.585075
2.208892.584899
2.224542.584725
2.24032.584552
2.256182.584381
2.272172.584212
2.288272.584044
2.304482.583878
2.320812.583714
2.337262.58355
2.353822.583389
2.37052.583229
2.387292.58307
2.404212.582912
2.421242.582756
2.43842.582601
2.455682.582447
2.473082.582295
2.49062.582144
2.508252.581994
2.526022.581845
2.543922.581697
2.561952.58155
2.58012.581405
2.598392.58126
2.61682.581116
2.635342.580973
2.654012.580831
2.672822.58069
2.691762.58055
2.710832.580411
2.730042.580272
2.749392.580135
2.768872.579998
2.788492.579861
2.808252.579726
2.828142.579591
2.848182.579456
2.868372.579322
2.888692.579189
2.909162.579056
2.929772.578924
2.950532.578792
2.971442.578661
2.99252.57853
3.01372.578399
3.035062.578269
3.056562.578139
3.078222.57801
3.100032.577881
3.1222.577751
3.144122.577623
3.16642.577494
3.188842.577365
3.211432.577237
3.234192.577109
3.25712.576981
3.280182.576852
3.303432.576724
3.326832.576596
3.350412.576468
3.374152.576339
3.398062.576211
3.422132.576082
3.446382.575954
3.47082.575825
3.49542.575696
3.520172.575566
3.545112.575436
3.570232.575306
3.595532.575176
3.6212.575045
3.646662.574914
3.67252.574782
3.698522.57465
3.724732.574518
3.751132.574384
3.777712.574251
3.804472.574116
3.831432.573981
3.858582.573846
3.885922.573709
3.913462.573572
3.941192.573434
3.969112.573295
3.997242.573156
4.025562.573015
4.054092.572874
4.082812.572732
4.111742.572588
4.140882.572444
4.170222.572299
4.199772.572152
4.229532.572004
4.25952.571855
4.289682.571705
4.320082.571554
4.350692.571401
4.381522.571247
4.412562.571092
4.443832.570935
4.475322.570776
4.507032.570616
4.538972.570455
4.571132.570292
4.603522.570127
4.636142.56996
4.668992.569792
4.702072.569622
4.735392.56945
4.768952.569276
4.802742.5691
4.836772.568922
4.871042.568742
4.905562.56856
4.940322.568375
4.975332.568189
5.010582.568
5.046082.567809
5.081842.567615
5.117852.567419
5.154112.56722
5.190642.567018
5.227422.566814
5.264462.566607
5.301762.566397
5.339332.566185
5.377162.565969
5.415262.56575
5.453632.565528
5.492282.565303
5.53122.565075
5.570392.564843
5.609862.564608
5.649612.564369
5.689642.564126
5.729962.56388
5.770562.56363
5.811452.563376
5.852632.563118
5.89412.562856
5.935872.562589
5.977932.562318
6.020282.562043
6.062942.561763
6.10592.561479
6.149172.561189
6.192742.560895
6.236622.560596
6.280822.560291
6.325322.559982
6.370142.559666
6.415282.559345
6.460742.559019
6.506522.558686
6.552622.558347
6.599052.558002
6.645812.557651
6.69292.557293
6.740332.556929
6.788092.556557
6.836192.556179
6.884632.555793
6.933412.555399
6.982542.554998
7.032022.554589
7.081852.554172
7.132032.553746
7.182562.553312
7.233462.552869
7.284712.552417
7.336332.551955
7.388322.551484
7.440672.551003
7.493392.550511
7.546492.550009
7.599962.549497
7.653822.548973
7.708052.548437
7.762672.54789
7.817672.54733
7.873072.546758
7.928862.546173
7.985042.545574
8.041622.544961
8.09862.544334
8.155992.543692
8.213782.543035
8.271982.542363
8.330592.541673
8.389622.540967
8.449072.540244
8.508942.539503
8.569232.538742
8.629952.537963
8.69112.537163
8.752692.536343
8.814712.535501
8.877172.534637
8.940072.53375
9.003422.532838
9.067222.531902
9.131472.53094
9.196172.529951
9.261332.528934
9.326962.527888
9.393052.526811
9.45962.525703
9.526632.524562
9.594142.523387
9.662122.522177
9.730592.520929
9.799542.519642
9.868972.518314
9.93892.516944
10.00932.51553
10.08032.514069
10.15172.512559
10.22362.510999
10.29612.509385
10.3692.507714
10.44252.505985
10.51652.504193
10.5912.502337

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—