Optical constants

Refractive index of Te (Tellurium)

Sherman et al. 1970: n(e) 8.5–30.3 µm

Data
formula 2
Range
8.5–30.3 µm
Optical axis
e
State
crystalline
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 8.5–30.3 µm
Refractive index n
6.22168
Extinction coefficient k
0
Permittivity ε1
38.7093
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.00326547 µm⁻¹
Group index ng
6.27393
Group velocity dispersion
1292.58 fs²/mm
Dispersion parameter D
-9.51084 ps/(nm·km)
Photon energy
0.0774901 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

# Te (Tellurium): Sherman et al. 1970: n(e) 8.5–30.3 µm
te = ls.fetch_refractiveindex("main", "Te", "Sherman-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(te.range_nm)  # (8500, 30300) nm
eps = te.eps([16000])  # 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=0.9041+36.8133λ2λ2−1.0803+6.2456λ2λ2−10000.0

Valid from 8.5 to 30.3 µm.

Coefficients as stored
CiValue
C10.9041
C236.8133
C31.0803
C46.2456
C510000.0

Comments and conditions

Extraordinary ray

Conditions

direction
e

References

1) G. H. Sherman et al. Proceedings of the Symposium on Sub-millimeter Waves (Polytechnic Press, Brooklyn, 1970)
2) G. C. Bhar, Refractive index interpolation in phase-matching. Appl. Opt. 15, 305-307 (1976)
* Ref. 2 provides a dispersion formula based on data from Ref. 1

Cite

Gopal C. Bhar. Refractive index interpolation in phase-matching. Applied Optics, 15, 305_1 (1976), doi:10.1364/ao.15.0305_1; 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
Te (Tellurium), Sherman et al. 1970: n(e) 8.5–30.3 µm: n and k versus wavelength
λ (µm)n
8.56.263445
8.527126.263134
8.554336.262825
8.581626.262517
8.609016.262211
8.636476.261907
8.664036.261605
8.691686.261304
8.719416.261005
8.747236.260707
8.775146.260411
8.803146.260117
8.831236.259824
8.859416.259533
8.887686.259243
8.916036.258955
8.944486.258668
8.973026.258383
9.001656.2581
9.030376.257818
9.059196.257537
9.088096.257258
9.117096.25698
9.146186.256704
9.175376.256429
9.204646.256156
9.234016.255884
9.263476.255613
9.293036.255344
9.322686.255076
9.352436.25481
9.382276.254545
9.412216.254281
9.442246.254019
9.472376.253758
9.502596.253498
9.532916.25324
9.563336.252983
9.593846.252727
9.624456.252472
9.655166.252219
9.685976.251967
9.716886.251716
9.747886.251466
9.778986.251218
9.810196.250971
9.841496.250724
9.872896.25048
9.904396.250236
9.935996.249993
9.96776.249752
9.99956.249512
10.03146.249273
10.06346.249035
10.09556.248798
10.12776.248562
10.16016.248327
10.19256.248094
10.2256.247861
10.25766.24763
10.29036.247399
10.32326.24717
10.35616.246941
10.38926.246714
10.42236.246488
10.45566.246262
10.48896.246038
10.52246.245815
10.5566.245592
10.58976.245371
10.62346.24515
10.65736.244931
10.69136.244712
10.72556.244494
10.75976.244278
10.7946.244062
10.82856.243847
10.8636.243633
10.89776.243419
10.93246.243207
10.96736.242996
11.00236.242785
11.03746.242575
11.07266.242366
11.1086.242158
11.14346.241951
11.1796.241744
11.21466.241538
11.25046.241334
11.28636.241129
11.32236.240926
11.35846.240723
11.39476.240522
11.4316.24032
11.46756.24012
11.50416.23992
11.54086.239721
11.57766.239523
11.61466.239326
11.65166.239129
11.68886.238933
11.72616.238737
11.76356.238543
11.80116.238348
11.83876.238155
11.87656.237962
11.91446.23777
11.95246.237578
11.99056.237387
12.02886.237197
12.06726.237007
12.10576.236818
12.14436.23663
12.18316.236442
12.22196.236254
12.26096.236068
12.30016.235881
12.33936.235696
12.37876.23551
12.41826.235326
12.45786.235142
12.49756.234958
12.53746.234775
12.57746.234592
12.61766.23441
12.65786.234229
12.69826.234047
12.73876.233867
12.77946.233687
12.82016.233507
12.8616.233327
12.90216.233149
12.94326.23297
12.98456.232792
13.0266.232615
13.06756.232437
13.10926.232261
13.15116.232084
13.1936.231908
13.23516.231733
13.27746.231557
13.31976.231382
13.36226.231208
13.40496.231034
13.44766.23086
13.49056.230686
13.53366.230513
13.57686.23034
13.62016.230168
13.66356.229995
13.70716.229823
13.75096.229652
13.79476.22948
13.83886.229309
13.88296.229138
13.92726.228968
13.97176.228797
14.01626.228627
14.0616.228457
14.10586.228288
14.15086.228118
14.1966.227949
14.24136.22778
14.28676.227611
14.33236.227443
14.3786.227274
14.42396.227106
14.46996.226938
14.51616.22677
14.56246.226603
14.60896.226435
14.65556.226267
14.70236.2261
14.74926.225933
14.79626.225766
14.84346.225599
14.89086.225432
14.93836.225265
14.9866.225099
15.03386.224932
15.08186.224766
15.12996.224599
15.17826.224433
15.22666.224267
15.27526.2241
15.32396.223934
15.37286.223768
15.42196.223602
15.47116.223436
15.52046.223269
15.576.223103
15.61966.222937
15.66956.222771
15.71956.222605
15.76966.222439
15.81996.222272
15.87046.222106
15.92116.22194
15.97196.221773
16.02286.221607
16.07396.22144
16.12526.221274
16.17676.221107
16.22836.22094
16.28016.220774
16.3326.220607
16.38416.220439
16.43646.220272
16.48896.220105
16.54156.219937
16.59436.21977
16.64726.219602
16.70036.219434
16.75366.219266
16.80716.219098
16.86076.218929
16.91456.218761
16.96856.218592
17.02266.218423
17.07696.218253
17.13146.218084
17.18616.217914
17.24096.217744
17.29596.217574
17.35116.217404
17.40656.217233
17.4626.217062
17.51776.216891
17.57366.216719
17.62976.216547
17.68596.216375
17.74246.216203
17.7996.21603
17.85586.215857
17.91276.215683
17.96996.21551
18.02726.215335
18.08486.215161
18.14256.214986
18.20046.214811
18.25846.214635
18.31676.214459
18.37516.214283
18.43386.214106
18.49266.213929
18.55166.213752
18.61086.213573
18.67026.213395
18.72976.213216
18.78956.213037
18.84946.212857
18.90966.212677
18.96996.212496
19.03046.212315
19.09126.212133
19.15216.211951
19.21326.211768
19.27456.211584
19.3366.211401
19.39776.211216
19.45966.211031
19.52176.210846
19.5846.21066
19.64656.210473
19.70916.210286
19.7726.210098
19.83516.20991
19.89846.209721
19.96196.209531
20.02566.209341
20.08956.20915
20.15366.208958
20.21796.208766
20.28246.208573
20.34716.208379
20.4126.208185
20.47726.20799
20.54256.207794
20.60816.207598
20.67386.207401
20.73986.207203
20.80596.207004
20.87236.206805
20.93896.206605
21.00576.206404
21.07286.206202
21.146.206
21.20756.205796
21.27516.205592
21.3436.205387
21.41116.205182
21.47946.204975
21.5486.204767
21.61676.204559
21.68576.20435
21.75496.20414
21.82436.203929
21.89396.203717
21.96386.203504
22.03396.20329
22.10426.203075
22.17476.20286
22.24556.202643
22.31646.202425
22.38766.202207
22.45916.201987
22.53076.201766
22.60266.201545
22.67476.201322
22.74716.201098
22.81976.200873
22.89256.200648
22.96556.200421
23.03886.200193
23.11236.199963
23.18616.199733
23.266.199502
23.33436.199269
23.40876.199035
23.48346.1988
23.55836.198564
23.63356.198327
23.70896.198089
23.78466.197849
23.86056.197608
23.93666.197366
24.0136.197122
24.08966.196878
24.16646.196632
24.24366.196384
24.32096.196136
24.39856.195886
24.47646.195635
24.55456.195382
24.63286.195128
24.71146.194873
24.79036.194616
24.86946.194358
24.94876.194098
25.02836.193837
25.10826.193574
25.18836.193311
25.26876.193045
25.34936.192778
25.43026.19251
25.51136.19224
25.59276.191968
25.67446.191695
25.75636.19142
25.83856.191144
25.92096.190866
26.00366.190586
26.08666.190305
26.16986.190022
26.25336.189738
26.33716.189452
26.42116.189164
26.50546.188874
26.596.188583
26.67486.18829
26.766.187995
26.84536.187698
26.9316.187399
27.01696.187099
27.10316.186797
27.18966.186493
27.27646.186187
27.36346.185879
27.45076.185569
27.53836.185257
27.62626.184944
27.71436.184628
27.80276.18431
27.89156.183991
27.98046.183669
28.06976.183345
28.15936.183019
28.24916.182691
28.33936.182361
28.42976.182029
28.52046.181695
28.61146.181358
28.70276.181019
28.79436.180678
28.88626.180335
28.97836.179989
29.07086.179642
29.16366.179292
29.25666.178939
29.356.178584
29.44366.178227
29.53766.177867
29.63186.177505
29.72636.177141
29.82126.176774
29.91636.176404
30.01186.176032
30.10766.175658
30.20366.175281
30.36.174901

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
—