Optical constants

Refractive index of IRG 23 (SCHOTT)

IRG 23: n 1–12 µm

Data
formula 1
Range
1–12 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 1–12 µm
Refractive index n
2.80687
Extinction coefficient k
0
Permittivity ε1
7.8785
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.00755893 µm⁻¹
Group index ng
2.83302
Group velocity dispersion
430.239 fs²/mm
Dispersion parameter D
-67.6952 ps/(nm·km)
Photon energy
0.358336 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

# IRG 23 (SCHOTT): IRG 23
schott_irg23 = ls.fetch_refractiveindex("specs", "SCHOTT-infrared", "IRG23", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_irg23.range_nm)  # (1000, 12000) nm
eps = schott_irg23.eps([3460])  # 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 (formula 1), λ in µm
n2−1=3.74971+3.07065λ2λ2−0.4983922+0.953206λ2λ2−40.75572

Valid from 1.0 to 12.0 µm.

Coefficients as stored
CiValue
C13.74971
C23.07065
C30.498392
C40.953206
C540.7557

Comments and conditions

20 °C

References

Cite

SCHOTT Infrared Chalcogenide Glasses - IRG 23 Product flyer (Version May 2013); 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
IRG 23 (SCHOTT), IRG 23: n and k versus wavelength
λ (µm)n
12.972304
1.006252.969501
1.012532.966753
1.018862.964058
1.025222.961415
1.031632.958822
1.038072.956278
1.044562.953782
1.051082.951333
1.057652.94893
1.064262.946572
1.070912.944257
1.07762.941984
1.084332.939753
1.09112.937563
1.097922.935412
1.104782.9333
1.111682.931226
1.118632.929189
1.125612.927188
1.132652.925222
1.139722.923291
1.146842.921394
1.154012.91953
1.161222.917698
1.168472.915898
1.175772.914129
1.183122.91239
1.190512.91068
1.197942.909
1.205432.907349
1.212962.905725
1.220542.904128
1.228162.902558
1.235832.901014
1.243562.899496
1.251322.898003
1.259142.896535
1.267012.89509
1.274922.893669
1.282892.892272
1.29092.890897
1.298972.889544
1.307082.888213
1.315252.886903
1.323462.885615
1.331732.884347
1.340052.883099
1.348422.881871
1.356852.880662
1.365322.879472
1.373852.878301
1.382442.877149
1.391072.876014
1.399762.874897
1.408512.873797
1.417312.872714
1.426162.871648
1.435072.870598
1.444042.869565
1.453062.868547
1.462142.867545
1.471272.866558
1.480462.865585
1.489712.864628
1.499022.863685
1.508382.862756
1.51782.861841
1.527292.86094
1.536832.860052
1.546432.859177
1.556092.858316
1.565812.857467
1.575592.856631
1.585442.855807
1.595342.854995
1.605312.854194
1.615342.853406
1.625432.852629
1.635582.851864
1.64582.851109
1.656082.850366
1.666432.849633
1.676842.848911
1.687312.848199
1.697862.847497
1.708462.846806
1.719142.846124
1.729882.845452
1.740682.844789
1.751562.844136
1.76252.843492
1.773512.842858
1.784592.842232
1.795742.841615
1.806962.841007
1.818252.840407
1.829612.839816
1.841042.839232
1.852542.838657
1.864112.83809
1.875762.837531
1.887472.83698
1.899272.836436
1.911132.8359
1.923072.835371
1.935082.834849
1.947172.834335
1.959342.833827
1.971582.833327
1.983892.832833
1.996292.832346
2.008762.831865
2.021312.831392
2.033942.830924
2.046642.830463
2.059432.830008
2.07232.829559
2.085242.829116
2.098272.828679
2.111382.828248
2.124572.827823
2.137842.827403
2.15122.826989
2.164632.82658
2.178162.826177
2.191772.825779
2.205462.825387
2.219242.824999
2.23312.824617
2.247052.824239
2.261092.823867
2.275212.823499
2.289432.823137
2.303732.822779
2.318122.822425
2.332612.822076
2.347182.821732
2.361842.821392
2.37662.821056
2.391442.820725
2.406382.820398
2.421422.820075
2.436542.819757
2.451772.819442
2.467082.819131
2.482492.818825
2.4982.818522
2.513612.818223
2.529312.817928
2.545112.817636
2.561012.817348
2.577012.817064
2.593112.816783
2.609312.816506
2.625612.816232
2.642022.815962
2.658522.815694
2.675132.815431
2.691842.81517
2.708662.814913
2.725582.814658
2.742612.814407
2.759742.814159
2.776982.813914
2.794332.813672
2.811792.813433
2.829352.813196
2.847032.812963
2.864822.812732
2.882712.812504
2.900722.812279
2.918842.812056
2.937082.811836
2.955432.811619
2.973892.811404
2.992472.811192
3.011162.810982
3.029982.810774
3.048912.810569
3.067952.810366
3.087122.810166
3.106412.809968
3.125812.809772
3.145342.809578
3.164992.809387
3.184762.809198
3.204662.80901
3.224682.808825
3.244822.808642
3.26512.808461
3.285492.808282
3.306022.808105
3.326672.80793
3.347452.807757
3.368372.807585
3.389412.807416
3.410582.807248
3.431892.807082
3.453332.806917
3.474912.806755
3.496612.806594
3.518462.806435
3.540442.806277
3.562562.806121
3.584812.805967
3.607212.805814
3.629742.805663
3.652422.805513
3.675242.805365
3.69822.805218
3.72132.805072
3.744552.804928
3.767942.804786
3.791482.804644
3.815172.804504
3.8392.804366
3.862992.804228
3.887122.804092
3.91142.803957
3.935842.803824
3.960432.803691
3.985172.80356
4.010072.80343
4.035122.803301
4.060332.803173
4.085692.803046
4.111222.80292
4.13692.802795
4.162742.802671
4.188752.802549
4.214922.802427
4.241252.802306
4.267752.802186
4.294412.802067
4.321242.801949
4.348232.801832
4.37542.801716
4.402732.8016
4.430242.801486
4.457912.801372
4.485762.801259
4.513792.801146
4.541992.801035
4.570362.800924
4.598912.800814
4.627642.800704
4.656552.800596
4.685642.800487
4.714922.80038
4.744372.800273
4.774012.800167
4.803842.800061
4.833852.799956
4.864052.799851
4.894432.799747
4.925012.799644
4.955782.799541
4.986742.799438
5.017892.799336
5.049242.799234
5.080782.799133
5.112522.799032
5.144462.798932
5.17662.798832
5.208942.798732
5.241482.798633
5.274232.798534
5.307182.798435
5.340332.798337
5.37372.798238
5.407272.798141
5.441052.798043
5.475042.797945
5.509242.797848
5.543662.797751
5.578292.797654
5.613142.797558
5.648212.797461
5.683492.797365
5.7192.797269
5.754732.797173
5.790682.797076
5.826862.79698
5.863262.796885
5.899892.796789
5.936752.796693
5.973832.796597
6.011152.796501
6.048712.796405
6.08652.796309
6.124522.796213
6.162782.796117
6.201282.796021
6.240022.795924
6.279012.795828
6.318232.795731
6.35772.795635
6.397422.795538
6.437392.79544
6.477612.795343
6.518072.795246
6.558792.795148
6.599772.79505
6.6412.794951
6.682492.794853
6.724232.794754
6.766242.794654
6.808512.794555
6.851052.794455
6.893852.794354
6.936912.794254
6.980252.794153
7.023862.794051
7.067742.793949
7.111892.793846
7.156322.793743
7.201032.79364
7.246022.793536
7.291282.793431
7.336842.793326
7.382672.79322
7.428792.793114
7.47522.793007
7.52192.792899
7.568892.792791
7.616182.792682
7.663762.792572
7.711642.792462
7.759812.792351
7.808292.792239
7.857072.792127
7.906162.792013
7.955552.791899
8.005252.791784
8.055262.791668
8.105582.791551
8.156222.791433
8.207172.791315
8.258452.791195
8.310042.791074
8.361952.790953
8.414192.79083
8.466762.790707
8.519652.790582
8.572882.790456
8.626442.790329
8.680332.790201
8.734562.790072
8.789122.789941
8.844032.78981
8.899282.789677
8.954882.789543
9.010822.789407
9.067112.789271
9.123762.789132
9.180762.788993
9.238112.788852
9.295822.78871
9.35392.788566
9.412332.788421
9.471142.788274
9.53032.788125
9.589842.787975
9.649752.787824
9.710042.787671
9.77072.787516
9.831742.787359
9.893162.787201
9.954972.787041
10.01722.786879
10.07972.786715
10.14272.78655
10.20612.786382
10.26982.786212
10.3342.786041
10.39862.785867
10.46352.785692
10.52892.785514
10.59472.785334
10.66082.785152
10.72742.784968
10.79452.784782
10.86192.784593
10.92982.784402
10.9982.784208
11.06672.784012
11.13592.783814
11.20552.783612
11.27552.783409
11.34592.783203
11.41682.782994
11.48812.782782
11.55992.782568
11.63212.782351
11.70482.78213
11.77792.781907
11.85152.781681
11.92552.781452
122.78122

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
—