Optical constants

Refractive index of CuGaS2 (Copper gallium sulfide)

Boyd et al. 1971: n(o) 0.55–11.5 µm; 120 °C

Data
formula 2
Range
0.55–11.5 µm
Temperature
393 K
Optical axis
o
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.55–11.5 µm
Refractive index n
2.72348
Extinction coefficient k
0
Permittivity ε1
7.41736
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.14114 µm⁻¹
Group index ng
3.39402
Group velocity dispersion
3454.3 fs²/mm
Dispersion parameter D
-18845 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

# CuGaS2 (Copper gallium sulfide): Boyd et al. 1971: n(o) 0.55–11.5 µm; 120 °C
cugas2 = ls.fetch_refractiveindex("main", "CuGaS2", "Boyd-120-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cugas2.range_nm)  # (550, 11500) nm
eps = cugas2.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=3.0984+2.1419λ2λ2−0.1225+1.5755λ2λ2−738.43

Valid from 0.55 to 11.5 µm.

Coefficients as stored
CiValue
C13.0984
C22.1419
C30.1225
C41.5755
C5738.43

Comments and conditions

Ordinary ray (o); 120 °C

Conditions

temperature
393 K
direction
o

References

1) G. D. Boyd, H. Kasper, J. H McFee. Linear and nonlinear optical properties of AgGaS2, CuGaS2, and CuInS2, and theory of the wedge technique for the measurement of nonlinear coefficients. IEEE J. Quantum Electron., 7, 563-573 (1971)
2) G. C. Bhar and G. Ghosh. Temperature-dependent Sellmeier coefficients and coherence lengths for some chalcopyrite crystals. J. Opt. Soc. Am. 69, 730-733 (1979)
* Ref. 2 provides a dispersion formula based on data from Ref. 1
  • doi:10.1109/jqe.1971.1076588 Linear and nonlinear optical properties of AgGaS<inf>2</inf>, CuGaS<inf>2</inf>, and CuInS<inf>2</inf>, and theory of the wedge technique for the measurement of nonlinear coefficients, IEEE Journal of Quantum Electronics (1971)
  • doi:10.1364/josa.69.000730 Temperature-dependent Sellmeier coefficients and coherence lengths for some chalcopyrite crystals, Journal of the Optical Society of America (1979)

Cite

G. Boyd, H. Kasper and J. McFee. Linear and nonlinear optical properties of AgGaS<inf>2</inf>, CuGaS<inf>2</inf>, and CuInS<inf>2</inf>, and theory of the wedge technique for the measurement of nonlinear coefficients. IEEE Journal of Quantum Electronics, 7, 563-573 (1971), doi:10.1109/jqe.1971.1076588; Gopal C. Bhar and Gorachand Ghosh. Temperature-dependent Sellmeier coefficients and coherence lengths for some chalcopyrite crystals. Journal of the Optical Society of America, 69, 730 (1979), doi:10.1364/josa.69.000730; 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
CuGaS2 (Copper gallium sulfide), Boyd et al. 1971: n(o) 0.55–11.5 µm; 120 °C: n and k versus wavelength
λ (µm)n
0.552.774407
0.5542072.767789
0.5584462.761386
0.5627172.755189
0.5670212.749188
0.5713582.743376
0.5757282.737743
0.5801322.732283
0.5845692.726987
0.589042.72185
0.5935452.716865
0.5980852.712026
0.602662.707326
0.6072692.702761
0.6119142.698325
0.6165942.694013
0.621312.689821
0.6260622.685744
0.6308512.681778
0.6356762.677918
0.6405382.674162
0.6454372.670505
0.6503742.666944
0.6553482.663475
0.6603612.660096
0.6654122.656803
0.6705012.653593
0.675632.650464
0.6807972.647413
0.6860042.644437
0.6912512.641534
0.6965382.638702
0.7018662.635938
0.7072342.63324
0.7126442.630607
0.7180942.628035
0.7235872.625524
0.7291212.623071
0.7346982.620675
0.7403172.618334
0.745982.616047
0.7516862.613811
0.7574352.611625
0.7632282.609489
0.7690662.6074
0.7749482.605357
0.7808752.603359
0.7868482.601404
0.7928662.599492
0.7989312.597621
0.8050412.595791
0.8111992.593999
0.8174032.592246
0.8236552.590529
0.8299552.588848
0.8363032.587203
0.84272.585592
0.8491452.584013
0.855642.582468
0.8621852.580954
0.8687792.579471
0.8754242.578017
0.882122.576594
0.8888672.575198
0.8956652.573831
0.9025162.57249
0.9094192.571177
0.9163752.569889
0.9233842.568626
0.9304462.567388
0.9375632.566174
0.9447342.564984
0.951962.563816
0.9592412.562671
0.9665782.561548
0.9739712.560446
0.981422.559365
0.9889272.558304
0.9964912.557264
1.004112.556242
1.011792.55524
1.019532.554257
1.027332.553292
1.035192.552344
1.04312.551414
1.051082.550501
1.059122.549605
1.067222.548725
1.075392.547861
1.083612.547012
1.09192.546179
1.100252.545361
1.108672.544557
1.117152.543768
1.125692.542993
1.13432.542231
1.142982.541483
1.151722.540748
1.160532.540025
1.16942.539316
1.178352.538619
1.187362.537933
1.196442.53726
1.205592.536598
1.214822.535948
1.224112.535309
1.233472.53468
1.24292.534063
1.252412.533455
1.261992.532858
1.271642.532272
1.281372.531694
1.291172.531127
1.301042.530569
1.3112.53002
1.321022.529481
1.331132.52895
1.341312.528428
1.351572.527915
1.361912.52741
1.372322.526913
1.382822.526424
1.393392.525943
1.404052.52547
1.414792.525004
1.425612.524546
1.436522.524096
1.44752.523652
1.458582.523215
1.469732.522786
1.480972.522363
1.49232.521946
1.503712.521537
1.515222.521133
1.52682.520736
1.538482.520345
1.550252.51996
1.562112.51958
1.574062.519207
1.586092.518839
1.598232.518477
1.610452.51812
1.622772.517769
1.635182.517423
1.647692.517082
1.660292.516746
1.672992.516414
1.685782.516088
1.698682.515767
1.711672.51545
1.724762.515138
1.737952.51483
1.751252.514526
1.764642.514227
1.778142.513932
1.791742.513642
1.805442.513355
1.819252.513072
1.833172.512793
1.847192.512518
1.861322.512247
1.875552.511979
1.88992.511715
1.904352.511455
1.918922.511197
1.93362.510944
1.948392.510693
1.963292.510446
1.978312.510202
1.993442.509961
2.008682.509723
2.024052.509488
2.039532.509256
2.055132.509027
2.070852.508801
2.086692.508577
2.102652.508356
2.118732.508137
2.134932.507922
2.151262.507708
2.167722.507497
2.18432.507289
2.2012.507083
2.217842.506879
2.23482.506677
2.25192.506477
2.269122.50628
2.286472.506084
2.303962.505891
2.321592.505699
2.339342.50551
2.357232.505322
2.375262.505136
2.393432.504952
2.411742.50477
2.430182.504589
2.448772.50441
2.46752.504233
2.486372.504057
2.505392.503882
2.524552.503709
2.543862.503537
2.563322.503367
2.582932.503198
2.602682.50303
2.622592.502864
2.642652.502699
2.662862.502534
2.683232.502371
2.703752.502209
2.724432.502048
2.745272.501888
2.766272.501729
2.787432.501571
2.808752.501414
2.830232.501257
2.851882.501101
2.873692.500946
2.895672.500792
2.917822.500638
2.940132.500485
2.962622.500333
2.985282.500181
3.008112.50003
3.031122.499879
3.054312.499728
3.077672.499578
3.101212.499429
3.124932.499279
3.148832.49913
3.172912.498981
3.197182.498833
3.221642.498684
3.246282.498536
3.271112.498388
3.296132.498239
3.321342.498091
3.346742.497943
3.372342.497795
3.398132.497646
3.424122.497498
3.450312.497349
3.47672.497201
3.503292.497051
3.530092.496902
3.557092.496753
3.58432.496603
3.611712.496452
3.639342.496301
3.667172.49615
3.695222.495998
3.723482.495846
3.751962.495693
3.780662.49554
3.809582.495385
3.838722.49523
3.868082.495075
3.897662.494918
3.927472.494761
3.957512.494603
3.987782.494444
4.018282.494284
4.049022.494123
4.079992.493961
4.111192.493798
4.142642.493634
4.174322.493469
4.206252.493303
4.238422.493135
4.270842.492966
4.303512.492796
4.336422.492624
4.369592.492451
4.403012.492277
4.436692.492101
4.470622.491923
4.504822.491744
4.539272.491563
4.573992.49138
4.608982.491196
4.644232.49101
4.679752.490822
4.715552.490632
4.751612.49044
4.787962.490247
4.824582.490051
4.861482.489853
4.898662.489653
4.936132.48945
4.973882.489246
5.011932.489039
5.050262.48883
5.088892.488618
5.127812.488404
5.167032.488187
5.206552.487967
5.246382.487745
5.28652.48752
5.326942.487293
5.367682.487062
5.408742.486828
5.450112.486592
5.491792.486352
5.53382.486109
5.576122.485863
5.618772.485614
5.661752.485361
5.705052.485105
5.748692.484845
5.792662.484582
5.836962.484315
5.881612.484044
5.926592.48377
5.971922.483491
6.01762.483209
6.063632.482922
6.110012.482631
6.156742.482336
6.203832.482037
6.251282.481733
6.299092.481425
6.347272.481112
6.395822.480794
6.444742.480471
6.494032.480143
6.54372.479811
6.593752.479473
6.644192.47913
6.695012.478781
6.746212.478427
6.797812.478067
6.849812.477702
6.90222.477331
6.954992.476953
7.008192.47657
7.061792.47618
7.11582.475784
7.170232.475382
7.225072.474973
7.280332.474557
7.336022.474134
7.392132.473704
7.448672.473266
7.505642.472822
7.563052.472369
7.620892.471909
7.679182.471441
7.737922.470965
7.79712.470481
7.856742.469988
7.916832.469487
7.977382.468977
8.03842.468458
8.099882.46793
8.161842.467392
8.224262.466845
8.287172.466287
8.350552.46572
8.414422.465143
8.478782.464555
8.543632.463956
8.608982.463346
8.674832.462725
8.741182.462093
8.808032.461449
8.87542.460792
8.943292.460124
9.011692.459442
9.080622.458748
9.150072.458041
9.220062.45732
9.290582.456585
9.361642.455836
9.433242.455072
9.505392.454294
9.57812.4535
9.651362.452691
9.725172.451865
9.799562.451024
9.874512.450165
9.950042.449289
10.02612.448396
10.10282.447484
10.18012.446554
10.2582.445604
10.33642.444635
10.41552.443646
10.49512.442637
10.57542.441606
10.65632.440553
10.73782.439479
10.81992.438381
10.90272.43726
10.98612.436114
11.07012.434944
11.15482.433748
11.24012.432526
11.32612.431277
11.41272.43
11.52.428695

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
—