Optical constants

Refractive index of AMTIR-3 (out of production) (AMI)

AMTIR-3 (out of production): n 3–14 µm

Data
formula 1
Range
3–14 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 3–14 µm
Refractive index n
2.61307
Extinction coefficient k
0
Permittivity ε1
6.82815
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.00277397 µm⁻¹
Group index ng
2.63105
Group velocity dispersion
-12.3537 fs²/mm
Dispersion parameter D
0.554174 ps/(nm·km)
Photon energy
0.191334 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

# AMTIR-3 (out of production) (AMI): AMTIR-3 (out of production)
ami_amtir_3 = ls.fetch_refractiveindex("specs", "AMI-infrared", "AMTIR-3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ami_amtir_3.range_nm)  # (3000, 14000) nm
eps = ami_amtir_3.eps([6480])  # 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=5.8505λ2λ2−0.291922+1.4536λ2λ2−42.7142

Valid from 3.0 to 14.0 µm.

Coefficients as stored
CiValue
C10.0
C25.8505
C30.29192
C41.4536
C542.714

Comments and conditions

Notes on the source data (kept exactly as published):
  • no primary reference in the source file

References

Handbook of Optics, Vol. 2, 2nd edition. McGraw-Hill 1994

Cite

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
AMTIR-3 (out of production) (AMI), AMTIR-3 (out of production): n and k versus wavelength
λ (µm)n
32.626637
3.01162.626543
3.023252.62645
3.034952.626358
3.046692.626266
3.058472.626175
3.07032.626085
3.082182.625995
3.09412.625905
3.106072.625816
3.118092.625728
3.130152.62564
3.142262.625552
3.154412.625465
3.166612.625379
3.178862.625293
3.191162.625207
3.20352.625122
3.21592.625037
3.228342.624953
3.240822.62487
3.253362.624787
3.265942.624704
3.278582.624621
3.291262.62454
3.303992.624458
3.316772.624377
3.32962.624297
3.342482.624217
3.355412.624137
3.368392.624058
3.381422.623979
3.39452.6239
3.407632.623822
3.420812.623744
3.434052.623667
3.447332.62359
3.460662.623514
3.474052.623437
3.487492.623362
3.500982.623286
3.514522.623211
3.528122.623136
3.541762.623062
3.555472.622988
3.569222.622914
3.583032.622841
3.596892.622768
3.61082.622695
3.624772.622623
3.638792.622551
3.652862.622479
3.666992.622407
3.681182.622336
3.695422.622265
3.709712.622195
3.724062.622125
3.738472.622055
3.752932.621985
3.767452.621916
3.782022.621846
3.796652.621778
3.811342.621709
3.826082.621641
3.840882.621573
3.855742.621505
3.870652.621437
3.885622.62137
3.900652.621303
3.915742.621236
3.930892.621169
3.94612.621103
3.961362.621037
3.976682.620971
3.992072.620905
4.007512.62084
4.023012.620774
4.038572.620709
4.054192.620644
4.069882.62058
4.085622.620515
4.101422.620451
4.117292.620387
4.133222.620323
4.14922.620259
4.165252.620195
4.181372.620132
4.197542.620069
4.213782.620005
4.230082.619943
4.246442.61988
4.262872.619817
4.279362.619755
4.295912.619692
4.312532.61963
4.329212.619568
4.345962.619506
4.362772.619444
4.379642.619382
4.396582.619321
4.413592.619259
4.430662.619198
4.44782.619137
4.465012.619075
4.482282.619014
4.499622.618953
4.517022.618893
4.53452.618832
4.552042.618771
4.569652.61871
4.587322.61865
4.605072.618589
4.622882.618529
4.640762.618469
4.658712.618408
4.676732.618348
4.694832.618288
4.712992.618228
4.731222.618168
4.749522.618108
4.767892.618048
4.786332.617988
4.804852.617928
4.823432.617868
4.842092.617808
4.860822.617748
4.879632.617688
4.89852.617629
4.917452.617569
4.936472.617509
4.955572.617449
4.974742.617389
4.993982.61733
5.01332.61727
5.032692.61721
5.052162.61715
5.07172.61709
5.091322.61703
5.111012.61697
5.130782.61691
5.150632.61685
5.170562.61679
5.190562.61673
5.210632.61667
5.230792.61661
5.251022.61655
5.271342.616489
5.291732.616429
5.31222.616369
5.332752.616308
5.353372.616248
5.374082.616187
5.394872.616126
5.415742.616065
5.436692.616004
5.457722.615943
5.478832.615882
5.500022.615821
5.52132.61576
5.542662.615699
5.56412.615637
5.585622.615575
5.607232.615514
5.628922.615452
5.650692.61539
5.672552.615328
5.694492.615265
5.716522.615203
5.738632.61514
5.760832.615078
5.783112.615015
5.805482.614952
5.827942.614889
5.850482.614825
5.873122.614762
5.895832.614698
5.918642.614634
5.941542.61457
5.964522.614506
5.987592.614441
6.010752.614377
6.0342.614312
6.057342.614247
6.080782.614182
6.10432.614116
6.127912.614051
6.151612.613985
6.175412.613919
6.19932.613852
6.223282.613786
6.247352.613719
6.271522.613652
6.295782.613585
6.320132.613517
6.344582.613449
6.369122.613381
6.393762.613313
6.418492.613244
6.443322.613176
6.468242.613106
6.493262.613037
6.518382.612967
6.54362.612897
6.568912.612827
6.594322.612756
6.619832.612686
6.645432.612614
6.671142.612543
6.696942.612471
6.722852.612399
6.748852.612326
6.774962.612254
6.801172.61218
6.827482.612107
6.853892.612033
6.88042.611959
6.907012.611884
6.933732.611809
6.960552.611734
6.987482.611658
7.014512.611582
7.041642.611506
7.068882.611429
7.096222.611352
7.123672.611274
7.151232.611196
7.178892.611118
7.206662.611039
7.234542.61096
7.262522.61088
7.290622.6108
7.318822.610719
7.347132.610638
7.375552.610557
7.404082.610475
7.432722.610393
7.461472.61031
7.490332.610226
7.519312.610143
7.54842.610058
7.577592.609973
7.606912.609888
7.636332.609802
7.665872.609716
7.695522.609629
7.725292.609542
7.755172.609454
7.785172.609366
7.815292.609277
7.845522.609187
7.875872.609097
7.906332.609007
7.936922.608916
7.967622.608824
7.998442.608732
8.029382.608639
8.060442.608545
8.091622.608451
8.122922.608357
8.154342.608261
8.185882.608165
8.217552.608069
8.249342.607972
8.281252.607874
8.313282.607776
8.345442.607676
8.377722.607577
8.410132.607476
8.442662.607375
8.475322.607273
8.50812.607171
8.541012.607068
8.574052.606964
8.607222.606859
8.640512.606754
8.673932.606648
8.707492.606541
8.741172.606434
8.774982.606325
8.808932.606216
8.8432.606106
8.877212.605996
8.911552.605884
8.946022.605772
8.980622.605659
9.015362.605545
9.050242.605431
9.085252.605315
9.120392.605199
9.155672.605082
9.191092.604964
9.226642.604845
9.262332.604725
9.298162.604605
9.334132.604483
9.370232.604361
9.406482.604237
9.442862.604113
9.479392.603988
9.516062.603862
9.552872.603735
9.589822.603607
9.626922.603478
9.664162.603348
9.701542.603217
9.739072.603084
9.776742.602951
9.814562.602817
9.852522.602682
9.890642.602546
9.92892.602409
9.96732.602271
10.00592.602131
10.04462.601991
10.08342.601849
10.12242.601707
10.16162.601563
10.20092.601418
10.24032.601272
10.282.601125
10.31972.600976
10.35962.600827
10.39972.600676
10.43992.600524
10.48032.600371
10.52092.600216
10.56162.60006
10.60242.599903
10.64342.599745
10.68462.599586
10.72592.599425
10.76742.599263
10.80912.599099
10.85092.598934
10.89292.598768
10.9352.5986
10.97732.598431
11.01982.598261
11.06242.598089
11.10522.597916
11.14812.597741
11.19132.597565
11.23452.597387
11.2782.597208
11.32162.597028
11.36542.596845
11.40942.596662
11.45352.596476
11.49782.59629
11.54232.596101
11.5872.595911
11.63182.595719
11.67682.595526
11.72192.595331
11.76732.595134
11.81282.594936
11.85852.594736
11.90442.594534
11.95042.59433
11.99662.594125
12.0432.593918
12.08962.593709
12.13642.593498
12.18332.593285
12.23052.593071
12.27782.592854
12.32532.592636
12.3732.592415
12.42082.592193
12.46892.591969
12.51712.591743
12.56552.591514
12.61412.591284
12.66292.591052
12.71192.590817
12.76112.59058
12.81042.590342
12.862.590101
12.90972.589858
12.95972.589612
13.00982.589365
13.06012.589115
13.11062.588863
13.16142.588608
13.21232.588352
13.26342.588093
13.31472.587831
13.36622.587567
13.41792.587301
13.46982.587032
13.52192.586761
13.57422.586487
13.62672.58621
13.67942.585931
13.73232.585649
13.78552.585365
13.83882.585078
13.89232.584788
13.94612.584496
142.584201

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
—