Optical constants

Refractive index of PbTe (Lead telluride)

Weiting and Yixun 1990: n 5.19–12.5 µm; 80 K

Data
formula 4
Range
5.189–12.51 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 5.189–12.51 µm
Refractive index n
6.10981
Extinction coefficient k
0
Permittivity ε1
37.3298
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0617839 µm⁻¹
Group index ng
6.60779
Group velocity dispersion
17002.5 fs²/mm
Dispersion parameter D
-492.995 ps/(nm·km)
Photon energy
0.153827 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

# PbTe (Lead telluride): Weiting and Yixun 1990: n 5.19–12.5 µm; 80 K
pbte = ls.fetch_refractiveindex("main", "PbTe", "Weiting-80K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pbte.range_nm)  # (5189, 12510) nm
eps = pbte.eps([8060])  # 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=1.0+34.576λ2.0λ2−4.08541.0−0.0087206⁢λ2.0

Valid from 5.189 to 12.51 µm.

Coefficients as stored
CiValue
C11.0
C234.576
C32.0
C44.0854
C51.0
C60.0
C70.0
C80.0
C91.0
C10-0.0087206
C112.0

Comments and conditions

80 K (-193 °C)

References

F. Weiting and Y. Yixun. Temperature effects on the refractive index of lead telluride and zinc selenide. Infrared Phys. 30, 371-373, 1990
(fitting experimental data with dispersion formula: refractiveindex.info)

Cite

Feng Weiting and Yan Yixun. Temperature effects on the refractive index of lead telluride and zinc selenide. Infrared Physics, 30, 371-373 (1990), doi:10.1016/0020-0891(90)90055-z; 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
PbTe (Lead telluride), Weiting and Yixun 1990: n 5.19–12.5 µm; 80 K: n and k versus wavelength
λ (µm)n
5.1896.444046
5.200466.441477
5.211946.438922
5.223456.43638
5.234986.433851
5.246546.431335
5.258126.428833
5.269736.426343
5.281376.423867
5.293036.421403
5.304716.418952
5.316436.416514
5.328166.414088
5.339936.411675
5.351726.409274
5.363536.406885
5.375386.404509
5.387256.402144
5.399146.399792
5.411066.397452
5.423016.395123
5.434986.392807
5.446986.390502
5.459016.388208
5.471066.385927
5.483146.383657
5.495256.381398
5.507386.37915
5.519546.376914
5.531736.374689
5.543946.372475
5.556186.370272
5.568456.36808
5.580746.365899
5.593066.363729
5.605416.361569
5.617796.35942
5.630196.357282
5.642626.355154
5.655086.353036
5.667576.350929
5.680086.348832
5.692626.346746
5.705196.344669
5.717796.342603
5.730416.340547
5.743076.3385
5.755756.336464
5.768456.334437
5.781196.33242
5.793956.330413
5.806756.328416
5.819576.326428
5.832426.324449
5.845296.32248
5.85826.32052
5.871146.31857
5.88416.316629
5.897096.314697
5.910116.312774
5.923166.31086
5.936246.308955
5.949346.307059
5.962486.305172
5.975646.303294
5.988846.301424
6.002066.299564
6.015316.297712
6.028596.295868
6.04196.294033
6.055246.292207
6.068616.290388
6.082016.288579
6.095446.286777
6.10896.284984
6.122396.283199
6.135916.281422
6.149456.279653
6.163036.277893
6.176646.27614
6.190286.274395
6.203946.272658
6.217646.270929
6.231376.269207
6.245136.267494
6.258926.265788
6.272736.264089
6.286586.262398
6.300466.260715
6.314386.259039
6.328326.25737
6.342296.255709
6.356296.254055
6.370336.252409
6.384396.25077
6.398496.249137
6.412626.247512
6.426776.245894
6.440966.244283
6.455196.242679
6.469446.241082
6.483726.239492
6.498046.237909
6.512386.236332
6.526766.234762
6.541176.233199
6.555626.231643
6.570096.230093
6.58466.22855
6.599136.227013
6.613716.225482
6.628316.223959
6.642946.222441
6.657616.22093
6.672316.219425
6.687046.217927
6.701816.216434
6.71666.214948
6.731436.213468
6.746296.211994
6.761196.210526
6.776126.209065
6.791086.207609
6.806076.206159
6.82116.204715
6.836166.203276
6.851256.201844
6.866386.200417
6.881546.198997
6.896746.197581
6.911966.196172
6.927226.194768
6.942526.193369
6.957856.191977
6.973216.190589
6.988616.189207
7.004046.187831
7.01956.18646
7.0356.185094
7.050536.183734
7.06616.182379
7.08176.181029
7.097346.179684
7.113016.178345
7.128716.177011
7.144456.175681
7.160226.174357
7.176036.173038
7.191886.171724
7.207766.170415
7.223676.16911
7.239626.167811
7.25566.166516
7.271626.165226
7.287686.163942
7.303776.162661
7.31996.161386
7.336066.160115
7.352266.158849
7.368496.157587
7.384766.15633
7.401066.155078
7.41746.15383
7.433786.152587
7.450196.151348
7.466646.150113
7.483136.148883
7.499656.147657
7.516216.146436
7.53286.145219
7.549446.144006
7.566116.142797
7.582816.141592
7.599556.140392
7.616336.139196
7.633156.138004
7.656.136816
7.666896.135632
7.683826.134452
7.700796.133276
7.717796.132104
7.734836.130936
7.751916.129772
7.769026.128612
7.786176.127455
7.803376.126303
7.82066.125154
7.837866.124009
7.855176.122867
7.872516.12173
7.889896.120596
7.907316.119465
7.924776.118339
7.942276.117215
7.959816.116096
7.977386.11498
7.994996.113867
8.012656.112758
8.030346.111652
8.048076.11055
8.065846.109451
8.083656.108356
8.101496.107264
8.119386.106175
8.137316.105089
8.155276.104007
8.173286.102928
8.191336.101852
8.209416.100779
8.227546.09971
8.24576.098643
8.263916.09758
8.282156.09652
8.300446.095462
8.318776.094408
8.337146.093357
8.355546.092309
8.373996.091264
8.392486.090221
8.411016.089182
8.429586.088145
8.448196.087111
8.466856.08608
8.485546.085052
8.504276.084027
8.523056.083004
8.541876.081985
8.560736.080967
8.579636.079953
8.598576.078941
8.617566.077932
8.636596.076925
8.655656.075921
8.674776.07492
8.693926.073921
8.713116.072924
8.732356.07193
8.751636.070939
8.770966.06995
8.790326.068963
8.809736.067979
8.829186.066997
8.848676.066017
8.868216.06504
8.887796.064065
8.907426.063093
8.927086.062122
8.946796.061154
8.966556.060188
8.986346.059224
9.006186.058263
9.026076.057303
9.0466.056346
9.065976.055391
9.085996.054437
9.106056.053486
9.126156.052537
9.14636.05159
9.16656.050645
9.186746.049702
9.207026.048761
9.227356.047821
9.247726.046884
9.268146.045949
9.28866.045015
9.309116.044083
9.329676.043153
9.350276.042225
9.370916.041299
9.39166.040374
9.412346.039451
9.433126.03853
9.453946.03761
9.474826.036693
9.495746.035776
9.51676.034862
9.537726.033949
9.558776.033037
9.579886.032128
9.601036.031219
9.622236.030313
9.643476.029407
9.664776.028504
9.686116.027601
9.707496.026701
9.728926.025801
9.750416.024903
9.771936.024006
9.793516.023111
9.815136.022217
9.83686.021325
9.858526.020433
9.880296.019543
9.90216.018655
9.923976.017767
9.945886.016881
9.967846.015996
9.989856.015112
10.01196.014229
10.0346.013347
10.05626.012467
10.07846.011587
10.10066.010709
10.12296.009832
10.14536.008956
10.16776.008081
10.19016.007206
10.21266.006333
10.23526.005461
10.25786.00459
10.28046.00372
10.30316.00285
10.32596.001982
10.34876.001114
10.37156.000247
10.39445.999381
10.41745.998516
10.44045.997652
10.46345.996788
10.48655.995926
10.50975.995064
10.53295.994202
10.55615.993342
10.57945.992482
10.60285.991623
10.62625.990764
10.64975.989906
10.67325.989049
10.69675.988192
10.72045.987336
10.7445.98648
10.76775.985625
10.79155.98477
10.81545.983916
10.83925.983063
10.86325.982209
10.88715.981357
10.91125.980504
10.93535.979653
10.95945.978801
10.98365.97795
11.00795.977099
11.03225.976249
11.05655.975399
11.08095.974549
11.10545.973699
11.12995.97285
11.15455.972001
11.17915.971152
11.20385.970304
11.22865.969455
11.25335.968607
11.27825.967759
11.30315.966911
11.3285.966063
11.35315.965215
11.37815.964367
11.40325.96352
11.42845.962672
11.45375.961825
11.47895.960977
11.50435.960129
11.52975.959282
11.55515.958434
11.58075.957586
11.60625.956739
11.63195.955891
11.65755.955043
11.68335.954195
11.70915.953346
11.73495.952498
11.76085.951649
11.78685.9508
11.81285.949951
11.83895.949102
11.8655.948252
11.89125.947402
11.91755.946552
11.94385.945701
11.97025.94485
11.99665.943999
12.02315.943147
12.04965.942295
12.07625.941443
12.10295.94059
12.12965.939737
12.15645.938883
12.18335.938029
12.21025.937174
12.23715.936318
12.26415.935463
12.29125.934606
12.31835.933749
12.34555.932892
12.37285.932034
12.40015.931175
12.42755.930315
12.45495.929455
12.48245.928594
12.515.927733

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
—