Optical constants

Refractive index of Te (Tellurium)

Caldwell and Fan 1959: n(e) 4.0–14 µm

Data
formula 2
Range
4–14 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 4–14 µm
Refractive index n
6.26418
Extinction coefficient k
0
Permittivity ε1
39.2399
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0108738 µm⁻¹
Group index ng
6.34551
Group velocity dispersion
3083.15 fs²/mm
Dispersion parameter D
-103.799 ps/(nm·km)
Photon energy
0.165754 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): Caldwell and Fan 1959: n(e) 4.0–14 µm
te = ls.fetch_refractiveindex("main", "Te", "Caldwell-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(te.range_nm)  # (4000, 14000) nm
eps = te.eps([7480])  # 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=28.5222+9.3068λ2λ2−2.5766+9.235λ2λ2−13521.0

Valid from 4.0 to 14.0 µm.

Coefficients as stored
CiValue
C128.5222
C29.3068
C32.5766
C49.235
C513521.0

Comments and conditions

Extraordinary ray (e).

Conditions

direction
e

References

1) R. S. Caldwell and H. Y. Fan. Optical properties of tellurium and selenium. Phys. Rev., 114, 664–675 (1959)
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

Robert S. Caldwell and H. Y. Fan. Optical Properties of Tellurium and Selenium. Physical Review, 114, 664-675 (1959), doi:10.1103/physrev.114.664; 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), Caldwell and Fan 1959: n(e) 4.0–14 µm: n and k versus wavelength
λ (µm)n
46.372165
4.012586.371115
4.02526.370073
4.037866.369041
4.050556.368017
4.063296.367001
4.076076.365994
4.088896.364996
4.101746.364005
4.114646.363023
4.127586.362049
4.140566.361083
4.153586.360125
4.166656.359175
4.179756.358233
4.192896.357298
4.206086.356371
4.21936.355451
4.232576.354539
4.245886.353635
4.259236.352738
4.272636.351847
4.286066.350965
4.299546.350089
4.313066.34922
4.326636.348358
4.340236.347504
4.353886.346656
4.367576.345814
4.381316.34498
4.395096.344152
4.408916.343331
4.422776.342516
4.436686.341707
4.450636.340905
4.464636.34011
4.478676.33932
4.492756.338537
4.506886.33776
4.521056.336989
4.535276.336224
4.549536.335465
4.563846.334712
4.578196.333964
4.592596.333223
4.607036.332487
4.621526.331757
4.636056.331033
4.650636.330314
4.665256.329601
4.679936.328893
4.694646.32819
4.709416.327493
4.724226.326802
4.739076.326115
4.753976.325434
4.768926.324758
4.783926.324087
4.798966.323421
4.814066.32276
4.829196.322105
4.844386.321454
4.859626.320808
4.87496.320167
4.890236.31953
4.905616.318899
4.921036.318272
4.936516.31765
4.952036.317032
4.96766.316419
4.983236.315811
4.99896.315207
5.014626.314608
5.030396.314013
5.04626.313422
5.062076.312836
5.077996.312254
5.093966.311676
5.109986.311103
5.126056.310534
5.142176.309969
5.158346.309408
5.174566.308851
5.190836.308298
5.207166.30775
5.223536.307205
5.239966.306664
5.256446.306127
5.272976.305594
5.289556.305065
5.306186.304539
5.322876.304018
5.339616.3035
5.35646.302985
5.373246.302475
5.390146.301968
5.407096.301465
5.424096.300965
5.441156.300469
5.458266.299976
5.475436.299487
5.492646.299001
5.509926.298519
5.527246.29804
5.544636.297565
5.562066.297093
5.579556.296624
5.59716.296158
5.61476.295696
5.632366.295237
5.650076.294781
5.667846.294328
5.685666.293879
5.703546.293432
5.721476.292989
5.739476.292549
5.757526.292112
5.775626.291677
5.793786.291246
5.8126.290818
5.830286.290392
5.848626.28997
5.867016.28955
5.885466.289134
5.903976.28872
5.922536.288309
5.941166.287901
5.959846.287495
5.978586.287092
5.997386.286692
6.016246.286295
6.035166.2859
6.054146.285508
6.073186.285119
6.092286.284732
6.111436.284348
6.130656.283966
6.149936.283587
6.169276.283211
6.188676.282837
6.208136.282465
6.227666.282096
6.247246.28173
6.266896.281365
6.286596.281003
6.306366.280644
6.326196.280287
6.346096.279932
6.366046.27958
6.386066.279229
6.406156.278882
6.426296.278536
6.44656.278192
6.466776.277851
6.487116.277512
6.507516.277176
6.527976.276841
6.54856.276509
6.569096.276178
6.589756.27585
6.610476.275524
6.631266.2752
6.652126.274878
6.673036.274558
6.694026.27424
6.715076.273924
6.736196.27361
6.757376.273298
6.778626.272988
6.799946.27268
6.821326.272374
6.842776.27207
6.864296.271768
6.885886.271468
6.907536.271169
6.929256.270872
6.951046.270577
6.97296.270284
6.994836.269993
7.016826.269704
7.038896.269416
7.061036.26913
7.083236.268846
7.105516.268564
7.127856.268283
7.150266.268004
7.172756.267727
7.195316.267451
7.217936.267177
7.240636.266905
7.26346.266634
7.286246.266365
7.309156.266097
7.332146.265831
7.35526.265567
7.378336.265304
7.401536.265043
7.424816.264783
7.448156.264525
7.471586.264268
7.495076.264013
7.518646.26376
7.542296.263507
7.5666.263257
7.58986.263007
7.613666.262759
7.637616.262513
7.661626.262268
7.685726.262024
7.709896.261782
7.734136.261541
7.758456.261302
7.782856.261063
7.807336.260827
7.831886.260591
7.856516.260357
7.881216.260124
7.9066.259893
7.930866.259662
7.95586.259433
7.980826.259205
8.005916.258979
8.031096.258754
8.056356.25853
8.081686.258307
8.10716.258085
8.132596.257865
8.158166.257645
8.183826.257427
8.209556.25721
8.235376.256995
8.261276.25678
8.287256.256566
8.313316.256354
8.339456.256143
8.365686.255933
8.391986.255724
8.418376.255516
8.444856.255309
8.47146.255103
8.498046.254898
8.524776.254694
8.551586.254492
8.578476.25429
8.605446.254089
8.632516.25389
8.659656.253691
8.686886.253493
8.71426.253297
8.74166.253101
8.769096.252906
8.796676.252712
8.824336.252519
8.852086.252327
8.879926.252136
8.907846.251946
8.935866.251757
8.963966.251569
8.992156.251381
9.020426.251195
9.048796.251009
9.077256.250824
9.105796.25064
9.134436.250457
9.163156.250275
9.191976.250093
9.220876.249913
9.249876.249733
9.278966.249554
9.308146.249376
9.337416.249198
9.366776.249022
9.396236.248846
9.425786.248671
9.455426.248496
9.485156.248323
9.514986.24815
9.54496.247978
9.574926.247806
9.605036.247635
9.635236.247465
9.665536.247296
9.695936.247128
9.726426.24696
9.7576.246792
9.787696.246626
9.818476.24646
9.849346.246295
9.880316.24613
9.911386.245966
9.942556.245803
9.973826.24564
10.00526.245478
10.03666.245317
10.06826.245156
10.09996.244996
10.13166.244836
10.16356.244677
10.19556.244518
10.22756.24436
10.25976.244203
10.29196.244046
10.32436.24389
10.35686.243734
10.38936.243579
10.4226.243424
10.45486.24327
10.48776.243117
10.52066.242963
10.55376.242811
10.58696.242659
10.62026.242507
10.65366.242356
10.68716.242205
10.72076.242055
10.75446.241905
10.78826.241756
10.82226.241607
10.85626.241459
10.89036.241311
10.92466.241163
10.95896.241016
10.99346.240869
11.0286.240723
11.06276.240577
11.09746.240432
11.13236.240287
11.16746.240142
11.20256.239998
11.23776.239854
11.2736.23971
11.30856.239567
11.34416.239424
11.37976.239281
11.41556.239139
11.45146.238997
11.48746.238856
11.52356.238714
11.55986.238573
11.59616.238433
11.63266.238293
11.66926.238153
11.70596.238013
11.74276.237873
11.77966.237734
11.81676.237595
11.85386.237457
11.89116.237318
11.92856.23718
11.9666.237043
12.00366.236905
12.04146.236768
12.07926.23663
12.11726.236494
12.15536.236357
12.19366.23622
12.23196.236084
12.27046.235948
12.3096.235812
12.34776.235677
12.38656.235541
12.42546.235406
12.46456.235271
12.50376.235136
12.5436.235001
12.58256.234866
12.62216.234732
12.66176.234597
12.70166.234463
12.74156.234329
12.78166.234195
12.82186.234061
12.86216.233928
12.90256.233794
12.94316.23366
12.98386.233527
13.02466.233394
13.06566.233261
13.10676.233127
13.14796.232994
13.18926.232861
13.23076.232728
13.27236.232595
13.31416.232463
13.35596.23233
13.39796.232197
13.44016.232064
13.48236.231932
13.52476.231799
13.56736.231667
13.60996.231534
13.65276.231401
13.69576.231269
13.73876.231136
13.78196.231003
13.82536.230871
13.86876.230738
13.91246.230605
13.95616.230473
146.23034

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
—