Optical constants
Refractive index of Te (Tellurium)
Sherman et al. 1970: n(o) 8.5–30.3 µm
- Data
- formula 2
- Range
- 8.5–30.3 µm
- Optical axis
- o
- State
- crystalline
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 4.7667
- Extinction coefficient k
- 0
- Permittivity ε1
- 22.7214
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00373175 µm⁻¹
- Group index ng
- 4.82641
- Group velocity dispersion
- 212.537 fs²/mm
- Dispersion parameter D
- -1.56385 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(o) 8.5–30.3 µm
te = ls.fetch_refractiveindex("main", "Te", "Sherman-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(te.range_nm) # (8500, 30300) nm
eps = te.eps([16000]) # complex permittivityDownloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_adbb4c791bec/lightsmith"
te = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(te.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (te/sherman-1970-o).
# ... load te as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=te)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=8500, stop_nm=30300, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_adbb4c791bec/lightsmith?model=drude_lorentz"
te_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))A dispersive Drude–Lorentz model for time-domain solvers.
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 µmValid from 8.5 to 30.3 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 3.0164 |
| C2 | 18.8133 |
| C3 | 1.1572 |
| C4 | 7.3729 |
| C5 | 10000.0 |
Comments and conditions
Conditions
- direction
- o
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
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
- doi:10.1364/ao.15.0305_1 Refractive index interpolation in phase-matching, Applied Optics (1976)
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
CSV comma separated
TXT tab separated
YAML n, k
Full database record original YAML
All quantities CSV
JSON metadata
| λ (µm) | n |
|---|---|
| 8.5 | 4.804401 |
| 8.52712 | 4.80416 |
| 8.55433 | 4.803919 |
| 8.58162 | 4.80368 |
| 8.60901 | 4.803441 |
| 8.63647 | 4.803204 |
| 8.66403 | 4.802968 |
| 8.69168 | 4.802733 |
| 8.71941 | 4.802499 |
| 8.74723 | 4.802266 |
| 8.77514 | 4.802033 |
| 8.80314 | 4.801802 |
| 8.83123 | 4.801572 |
| 8.85941 | 4.801343 |
| 8.88768 | 4.801115 |
| 8.91603 | 4.800888 |
| 8.94448 | 4.800662 |
| 8.97302 | 4.800437 |
| 9.00165 | 4.800212 |
| 9.03037 | 4.799989 |
| 9.05919 | 4.799767 |
| 9.08809 | 4.799545 |
| 9.11709 | 4.799324 |
| 9.14618 | 4.799105 |
| 9.17537 | 4.798886 |
| 9.20464 | 4.798668 |
| 9.23401 | 4.798451 |
| 9.26347 | 4.798235 |
| 9.29303 | 4.798019 |
| 9.32268 | 4.797805 |
| 9.35243 | 4.797591 |
| 9.38227 | 4.797378 |
| 9.41221 | 4.797166 |
| 9.44224 | 4.796955 |
| 9.47237 | 4.796744 |
| 9.50259 | 4.796534 |
| 9.53291 | 4.796325 |
| 9.56333 | 4.796117 |
| 9.59384 | 4.79591 |
| 9.62445 | 4.795703 |
| 9.65516 | 4.795497 |
| 9.68597 | 4.795292 |
| 9.71688 | 4.795087 |
| 9.74788 | 4.794884 |
| 9.77898 | 4.794681 |
| 9.81019 | 4.794478 |
| 9.84149 | 4.794276 |
| 9.87289 | 4.794075 |
| 9.90439 | 4.793875 |
| 9.93599 | 4.793675 |
| 9.9677 | 4.793476 |
| 9.9995 | 4.793278 |
| 10.0314 | 4.79308 |
| 10.0634 | 4.792883 |
| 10.0955 | 4.792686 |
| 10.1277 | 4.79249 |
| 10.1601 | 4.792295 |
| 10.1925 | 4.7921 |
| 10.225 | 4.791906 |
| 10.2576 | 4.791713 |
| 10.2903 | 4.791519 |
| 10.3232 | 4.791327 |
| 10.3561 | 4.791135 |
| 10.3892 | 4.790944 |
| 10.4223 | 4.790753 |
| 10.4556 | 4.790563 |
| 10.4889 | 4.790373 |
| 10.5224 | 4.790183 |
| 10.556 | 4.789995 |
| 10.5897 | 4.789806 |
| 10.6234 | 4.789618 |
| 10.6573 | 4.789431 |
| 10.6913 | 4.789244 |
| 10.7255 | 4.789058 |
| 10.7597 | 4.788872 |
| 10.794 | 4.788686 |
| 10.8285 | 4.788501 |
| 10.863 | 4.788316 |
| 10.8977 | 4.788132 |
| 10.9324 | 4.787948 |
| 10.9673 | 4.787765 |
| 11.0023 | 4.787582 |
| 11.0374 | 4.787399 |
| 11.0726 | 4.787217 |
| 11.108 | 4.787035 |
| 11.1434 | 4.786854 |
| 11.179 | 4.786672 |
| 11.2146 | 4.786492 |
| 11.2504 | 4.786311 |
| 11.2863 | 4.786131 |
| 11.3223 | 4.785951 |
| 11.3584 | 4.785772 |
| 11.3947 | 4.785592 |
| 11.431 | 4.785413 |
| 11.4675 | 4.785235 |
| 11.5041 | 4.785057 |
| 11.5408 | 4.784879 |
| 11.5776 | 4.784701 |
| 11.6146 | 4.784523 |
| 11.6516 | 4.784346 |
| 11.6888 | 4.784169 |
| 11.7261 | 4.783992 |
| 11.7635 | 4.783816 |
| 11.8011 | 4.783639 |
| 11.8387 | 4.783463 |
| 11.8765 | 4.783288 |
| 11.9144 | 4.783112 |
| 11.9524 | 4.782936 |
| 11.9905 | 4.782761 |
| 12.0288 | 4.782586 |
| 12.0672 | 4.782411 |
| 12.1057 | 4.782236 |
| 12.1443 | 4.782062 |
| 12.1831 | 4.781887 |
| 12.2219 | 4.781713 |
| 12.2609 | 4.781539 |
| 12.3001 | 4.781365 |
| 12.3393 | 4.781191 |
| 12.3787 | 4.781017 |
| 12.4182 | 4.780843 |
| 12.4578 | 4.78067 |
| 12.4975 | 4.780496 |
| 12.5374 | 4.780323 |
| 12.5774 | 4.780149 |
| 12.6176 | 4.779976 |
| 12.6578 | 4.779803 |
| 12.6982 | 4.77963 |
| 12.7387 | 4.779457 |
| 12.7794 | 4.779284 |
| 12.8201 | 4.779111 |
| 12.861 | 4.778937 |
| 12.9021 | 4.778764 |
| 12.9432 | 4.778591 |
| 12.9845 | 4.778418 |
| 13.026 | 4.778245 |
| 13.0675 | 4.778072 |
| 13.1092 | 4.777899 |
| 13.1511 | 4.777726 |
| 13.193 | 4.777553 |
| 13.2351 | 4.77738 |
| 13.2774 | 4.777207 |
| 13.3197 | 4.777033 |
| 13.3622 | 4.77686 |
| 13.4049 | 4.776687 |
| 13.4476 | 4.776513 |
| 13.4905 | 4.776339 |
| 13.5336 | 4.776166 |
| 13.5768 | 4.775992 |
| 13.6201 | 4.775818 |
| 13.6635 | 4.775644 |
| 13.7071 | 4.77547 |
| 13.7509 | 4.775295 |
| 13.7947 | 4.775121 |
| 13.8388 | 4.774946 |
| 13.8829 | 4.774772 |
| 13.9272 | 4.774597 |
| 13.9717 | 4.774422 |
| 14.0162 | 4.774246 |
| 14.061 | 4.774071 |
| 14.1058 | 4.773895 |
| 14.1508 | 4.773719 |
| 14.196 | 4.773543 |
| 14.2413 | 4.773367 |
| 14.2867 | 4.77319 |
| 14.3323 | 4.773014 |
| 14.378 | 4.772837 |
| 14.4239 | 4.772659 |
| 14.4699 | 4.772482 |
| 14.5161 | 4.772304 |
| 14.5624 | 4.772126 |
| 14.6089 | 4.771947 |
| 14.6555 | 4.771769 |
| 14.7023 | 4.77159 |
| 14.7492 | 4.77141 |
| 14.7962 | 4.771231 |
| 14.8434 | 4.771051 |
| 14.8908 | 4.770871 |
| 14.9383 | 4.77069 |
| 14.986 | 4.770509 |
| 15.0338 | 4.770328 |
| 15.0818 | 4.770146 |
| 15.1299 | 4.769964 |
| 15.1782 | 4.769782 |
| 15.2266 | 4.769599 |
| 15.2752 | 4.769416 |
| 15.3239 | 4.769232 |
| 15.3728 | 4.769048 |
| 15.4219 | 4.768864 |
| 15.4711 | 4.768679 |
| 15.5204 | 4.768493 |
| 15.57 | 4.768308 |
| 15.6196 | 4.768121 |
| 15.6695 | 4.767935 |
| 15.7195 | 4.767748 |
| 15.7696 | 4.76756 |
| 15.8199 | 4.767372 |
| 15.8704 | 4.767183 |
| 15.9211 | 4.766994 |
| 15.9719 | 4.766804 |
| 16.0228 | 4.766614 |
| 16.0739 | 4.766424 |
| 16.1252 | 4.766232 |
| 16.1767 | 4.76604 |
| 16.2283 | 4.765848 |
| 16.2801 | 4.765655 |
| 16.332 | 4.765462 |
| 16.3841 | 4.765268 |
| 16.4364 | 4.765073 |
| 16.4889 | 4.764878 |
| 16.5415 | 4.764682 |
| 16.5943 | 4.764485 |
| 16.6472 | 4.764288 |
| 16.7003 | 4.76409 |
| 16.7536 | 4.763892 |
| 16.8071 | 4.763692 |
| 16.8607 | 4.763493 |
| 16.9145 | 4.763292 |
| 16.9685 | 4.763091 |
| 17.0226 | 4.762889 |
| 17.0769 | 4.762687 |
| 17.1314 | 4.762483 |
| 17.1861 | 4.762279 |
| 17.2409 | 4.762075 |
| 17.2959 | 4.761869 |
| 17.3511 | 4.761663 |
| 17.4065 | 4.761456 |
| 17.462 | 4.761248 |
| 17.5177 | 4.76104 |
| 17.5736 | 4.76083 |
| 17.6297 | 4.76062 |
| 17.6859 | 4.760409 |
| 17.7424 | 4.760197 |
| 17.799 | 4.759985 |
| 17.8558 | 4.759771 |
| 17.9127 | 4.759557 |
| 17.9699 | 4.759342 |
| 18.0272 | 4.759126 |
| 18.0848 | 4.758909 |
| 18.1425 | 4.758691 |
| 18.2004 | 4.758472 |
| 18.2584 | 4.758252 |
| 18.3167 | 4.758032 |
| 18.3751 | 4.75781 |
| 18.4338 | 4.757588 |
| 18.4926 | 4.757364 |
| 18.5516 | 4.75714 |
| 18.6108 | 4.756915 |
| 18.6702 | 4.756688 |
| 18.7297 | 4.756461 |
| 18.7895 | 4.756232 |
| 18.8494 | 4.756003 |
| 18.9096 | 4.755772 |
| 18.9699 | 4.755541 |
| 19.0304 | 4.755308 |
| 19.0912 | 4.755075 |
| 19.1521 | 4.75484 |
| 19.2132 | 4.754604 |
| 19.2745 | 4.754367 |
| 19.336 | 4.754129 |
| 19.3977 | 4.75389 |
| 19.4596 | 4.75365 |
| 19.5217 | 4.753408 |
| 19.584 | 4.753166 |
| 19.6465 | 4.752922 |
| 19.7091 | 4.752677 |
| 19.772 | 4.752431 |
| 19.8351 | 4.752183 |
| 19.8984 | 4.751935 |
| 19.9619 | 4.751685 |
| 20.0256 | 4.751434 |
| 20.0895 | 4.751181 |
| 20.1536 | 4.750928 |
| 20.2179 | 4.750673 |
| 20.2824 | 4.750416 |
| 20.3471 | 4.750159 |
| 20.412 | 4.7499 |
| 20.4772 | 4.74964 |
| 20.5425 | 4.749378 |
| 20.6081 | 4.749115 |
| 20.6738 | 4.748851 |
| 20.7398 | 4.748585 |
| 20.8059 | 4.748318 |
| 20.8723 | 4.748049 |
| 20.9389 | 4.747779 |
| 21.0057 | 4.747508 |
| 21.0728 | 4.747235 |
| 21.14 | 4.74696 |
| 21.2075 | 4.746684 |
| 21.2751 | 4.746407 |
| 21.343 | 4.746128 |
| 21.4111 | 4.745848 |
| 21.4794 | 4.745566 |
| 21.548 | 4.745282 |
| 21.6167 | 4.744997 |
| 21.6857 | 4.74471 |
| 21.7549 | 4.744422 |
| 21.8243 | 4.744132 |
| 21.8939 | 4.74384 |
| 21.9638 | 4.743547 |
| 22.0339 | 4.743252 |
| 22.1042 | 4.742955 |
| 22.1747 | 4.742657 |
| 22.2455 | 4.742357 |
| 22.3164 | 4.742055 |
| 22.3876 | 4.741751 |
| 22.4591 | 4.741446 |
| 22.5307 | 4.741139 |
| 22.6026 | 4.74083 |
| 22.6747 | 4.740519 |
| 22.7471 | 4.740206 |
| 22.8197 | 4.739892 |
| 22.8925 | 4.739576 |
| 22.9655 | 4.739257 |
| 23.0388 | 4.738937 |
| 23.1123 | 4.738615 |
| 23.1861 | 4.738291 |
| 23.26 | 4.737965 |
| 23.3343 | 4.737637 |
| 23.4087 | 4.737307 |
| 23.4834 | 4.736975 |
| 23.5583 | 4.736641 |
| 23.6335 | 4.736305 |
| 23.7089 | 4.735967 |
| 23.7846 | 4.735627 |
| 23.8605 | 4.735285 |
| 23.9366 | 4.73494 |
| 24.013 | 4.734594 |
| 24.0896 | 4.734245 |
| 24.1664 | 4.733894 |
| 24.2436 | 4.733541 |
| 24.3209 | 4.733186 |
| 24.3985 | 4.732828 |
| 24.4764 | 4.732468 |
| 24.5545 | 4.732106 |
| 24.6328 | 4.731742 |
| 24.7114 | 4.731375 |
| 24.7903 | 4.731006 |
| 24.8694 | 4.730634 |
| 24.9487 | 4.73026 |
| 25.0283 | 4.729884 |
| 25.1082 | 4.729505 |
| 25.1883 | 4.729124 |
| 25.2687 | 4.72874 |
| 25.3493 | 4.728354 |
| 25.4302 | 4.727966 |
| 25.5113 | 4.727574 |
| 25.5927 | 4.72718 |
| 25.6744 | 4.726784 |
| 25.7563 | 4.726385 |
| 25.8385 | 4.725983 |
| 25.9209 | 4.725579 |
| 26.0036 | 4.725172 |
| 26.0866 | 4.724762 |
| 26.1698 | 4.72435 |
| 26.2533 | 4.723934 |
| 26.3371 | 4.723516 |
| 26.4211 | 4.723095 |
| 26.5054 | 4.722672 |
| 26.59 | 4.722245 |
| 26.6748 | 4.721815 |
| 26.76 | 4.721383 |
| 26.8453 | 4.720948 |
| 26.931 | 4.720509 |
| 27.0169 | 4.720068 |
| 27.1031 | 4.719624 |
| 27.1896 | 4.719176 |
| 27.2764 | 4.718726 |
| 27.3634 | 4.718272 |
| 27.4507 | 4.717815 |
| 27.5383 | 4.717355 |
| 27.6262 | 4.716892 |
| 27.7143 | 4.716426 |
| 27.8027 | 4.715956 |
| 27.8915 | 4.715483 |
| 27.9804 | 4.715007 |
| 28.0697 | 4.714527 |
| 28.1593 | 4.714044 |
| 28.2491 | 4.713558 |
| 28.3393 | 4.713068 |
| 28.4297 | 4.712575 |
| 28.5204 | 4.712078 |
| 28.6114 | 4.711578 |
| 28.7027 | 4.711074 |
| 28.7943 | 4.710566 |
| 28.8862 | 4.710055 |
| 28.9783 | 4.70954 |
| 29.0708 | 4.709022 |
| 29.1636 | 4.708499 |
| 29.2566 | 4.707973 |
| 29.35 | 4.707443 |
| 29.4436 | 4.70691 |
| 29.5376 | 4.706372 |
| 29.6318 | 4.705831 |
| 29.7263 | 4.705285 |
| 29.8212 | 4.704736 |
| 29.9163 | 4.704182 |
| 30.0118 | 4.703624 |
| 30.1076 | 4.703063 |
| 30.2036 | 4.702497 |
| 30.3 | 4.701927 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Ordinary ray