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
- 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.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_e37609ae0c3a/lightsmith"
te = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(te.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (te/sherman-1970-e).
# ... 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 wavelength
Same 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_e37609ae0c3a/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 | 0.9041 |
| C2 | 36.8133 |
| C3 | 1.0803 |
| C4 | 6.2456 |
| C5 | 10000.0 |
Comments and conditions
Conditions
- direction
- e
References
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| λ (µm) | n |
|---|---|
| 8.5 | 6.263445 |
| 8.52712 | 6.263134 |
| 8.55433 | 6.262825 |
| 8.58162 | 6.262517 |
| 8.60901 | 6.262211 |
| 8.63647 | 6.261907 |
| 8.66403 | 6.261605 |
| 8.69168 | 6.261304 |
| 8.71941 | 6.261005 |
| 8.74723 | 6.260707 |
| 8.77514 | 6.260411 |
| 8.80314 | 6.260117 |
| 8.83123 | 6.259824 |
| 8.85941 | 6.259533 |
| 8.88768 | 6.259243 |
| 8.91603 | 6.258955 |
| 8.94448 | 6.258668 |
| 8.97302 | 6.258383 |
| 9.00165 | 6.2581 |
| 9.03037 | 6.257818 |
| 9.05919 | 6.257537 |
| 9.08809 | 6.257258 |
| 9.11709 | 6.25698 |
| 9.14618 | 6.256704 |
| 9.17537 | 6.256429 |
| 9.20464 | 6.256156 |
| 9.23401 | 6.255884 |
| 9.26347 | 6.255613 |
| 9.29303 | 6.255344 |
| 9.32268 | 6.255076 |
| 9.35243 | 6.25481 |
| 9.38227 | 6.254545 |
| 9.41221 | 6.254281 |
| 9.44224 | 6.254019 |
| 9.47237 | 6.253758 |
| 9.50259 | 6.253498 |
| 9.53291 | 6.25324 |
| 9.56333 | 6.252983 |
| 9.59384 | 6.252727 |
| 9.62445 | 6.252472 |
| 9.65516 | 6.252219 |
| 9.68597 | 6.251967 |
| 9.71688 | 6.251716 |
| 9.74788 | 6.251466 |
| 9.77898 | 6.251218 |
| 9.81019 | 6.250971 |
| 9.84149 | 6.250724 |
| 9.87289 | 6.25048 |
| 9.90439 | 6.250236 |
| 9.93599 | 6.249993 |
| 9.9677 | 6.249752 |
| 9.9995 | 6.249512 |
| 10.0314 | 6.249273 |
| 10.0634 | 6.249035 |
| 10.0955 | 6.248798 |
| 10.1277 | 6.248562 |
| 10.1601 | 6.248327 |
| 10.1925 | 6.248094 |
| 10.225 | 6.247861 |
| 10.2576 | 6.24763 |
| 10.2903 | 6.247399 |
| 10.3232 | 6.24717 |
| 10.3561 | 6.246941 |
| 10.3892 | 6.246714 |
| 10.4223 | 6.246488 |
| 10.4556 | 6.246262 |
| 10.4889 | 6.246038 |
| 10.5224 | 6.245815 |
| 10.556 | 6.245592 |
| 10.5897 | 6.245371 |
| 10.6234 | 6.24515 |
| 10.6573 | 6.244931 |
| 10.6913 | 6.244712 |
| 10.7255 | 6.244494 |
| 10.7597 | 6.244278 |
| 10.794 | 6.244062 |
| 10.8285 | 6.243847 |
| 10.863 | 6.243633 |
| 10.8977 | 6.243419 |
| 10.9324 | 6.243207 |
| 10.9673 | 6.242996 |
| 11.0023 | 6.242785 |
| 11.0374 | 6.242575 |
| 11.0726 | 6.242366 |
| 11.108 | 6.242158 |
| 11.1434 | 6.241951 |
| 11.179 | 6.241744 |
| 11.2146 | 6.241538 |
| 11.2504 | 6.241334 |
| 11.2863 | 6.241129 |
| 11.3223 | 6.240926 |
| 11.3584 | 6.240723 |
| 11.3947 | 6.240522 |
| 11.431 | 6.24032 |
| 11.4675 | 6.24012 |
| 11.5041 | 6.23992 |
| 11.5408 | 6.239721 |
| 11.5776 | 6.239523 |
| 11.6146 | 6.239326 |
| 11.6516 | 6.239129 |
| 11.6888 | 6.238933 |
| 11.7261 | 6.238737 |
| 11.7635 | 6.238543 |
| 11.8011 | 6.238348 |
| 11.8387 | 6.238155 |
| 11.8765 | 6.237962 |
| 11.9144 | 6.23777 |
| 11.9524 | 6.237578 |
| 11.9905 | 6.237387 |
| 12.0288 | 6.237197 |
| 12.0672 | 6.237007 |
| 12.1057 | 6.236818 |
| 12.1443 | 6.23663 |
| 12.1831 | 6.236442 |
| 12.2219 | 6.236254 |
| 12.2609 | 6.236068 |
| 12.3001 | 6.235881 |
| 12.3393 | 6.235696 |
| 12.3787 | 6.23551 |
| 12.4182 | 6.235326 |
| 12.4578 | 6.235142 |
| 12.4975 | 6.234958 |
| 12.5374 | 6.234775 |
| 12.5774 | 6.234592 |
| 12.6176 | 6.23441 |
| 12.6578 | 6.234229 |
| 12.6982 | 6.234047 |
| 12.7387 | 6.233867 |
| 12.7794 | 6.233687 |
| 12.8201 | 6.233507 |
| 12.861 | 6.233327 |
| 12.9021 | 6.233149 |
| 12.9432 | 6.23297 |
| 12.9845 | 6.232792 |
| 13.026 | 6.232615 |
| 13.0675 | 6.232437 |
| 13.1092 | 6.232261 |
| 13.1511 | 6.232084 |
| 13.193 | 6.231908 |
| 13.2351 | 6.231733 |
| 13.2774 | 6.231557 |
| 13.3197 | 6.231382 |
| 13.3622 | 6.231208 |
| 13.4049 | 6.231034 |
| 13.4476 | 6.23086 |
| 13.4905 | 6.230686 |
| 13.5336 | 6.230513 |
| 13.5768 | 6.23034 |
| 13.6201 | 6.230168 |
| 13.6635 | 6.229995 |
| 13.7071 | 6.229823 |
| 13.7509 | 6.229652 |
| 13.7947 | 6.22948 |
| 13.8388 | 6.229309 |
| 13.8829 | 6.229138 |
| 13.9272 | 6.228968 |
| 13.9717 | 6.228797 |
| 14.0162 | 6.228627 |
| 14.061 | 6.228457 |
| 14.1058 | 6.228288 |
| 14.1508 | 6.228118 |
| 14.196 | 6.227949 |
| 14.2413 | 6.22778 |
| 14.2867 | 6.227611 |
| 14.3323 | 6.227443 |
| 14.378 | 6.227274 |
| 14.4239 | 6.227106 |
| 14.4699 | 6.226938 |
| 14.5161 | 6.22677 |
| 14.5624 | 6.226603 |
| 14.6089 | 6.226435 |
| 14.6555 | 6.226267 |
| 14.7023 | 6.2261 |
| 14.7492 | 6.225933 |
| 14.7962 | 6.225766 |
| 14.8434 | 6.225599 |
| 14.8908 | 6.225432 |
| 14.9383 | 6.225265 |
| 14.986 | 6.225099 |
| 15.0338 | 6.224932 |
| 15.0818 | 6.224766 |
| 15.1299 | 6.224599 |
| 15.1782 | 6.224433 |
| 15.2266 | 6.224267 |
| 15.2752 | 6.2241 |
| 15.3239 | 6.223934 |
| 15.3728 | 6.223768 |
| 15.4219 | 6.223602 |
| 15.4711 | 6.223436 |
| 15.5204 | 6.223269 |
| 15.57 | 6.223103 |
| 15.6196 | 6.222937 |
| 15.6695 | 6.222771 |
| 15.7195 | 6.222605 |
| 15.7696 | 6.222439 |
| 15.8199 | 6.222272 |
| 15.8704 | 6.222106 |
| 15.9211 | 6.22194 |
| 15.9719 | 6.221773 |
| 16.0228 | 6.221607 |
| 16.0739 | 6.22144 |
| 16.1252 | 6.221274 |
| 16.1767 | 6.221107 |
| 16.2283 | 6.22094 |
| 16.2801 | 6.220774 |
| 16.332 | 6.220607 |
| 16.3841 | 6.220439 |
| 16.4364 | 6.220272 |
| 16.4889 | 6.220105 |
| 16.5415 | 6.219937 |
| 16.5943 | 6.21977 |
| 16.6472 | 6.219602 |
| 16.7003 | 6.219434 |
| 16.7536 | 6.219266 |
| 16.8071 | 6.219098 |
| 16.8607 | 6.218929 |
| 16.9145 | 6.218761 |
| 16.9685 | 6.218592 |
| 17.0226 | 6.218423 |
| 17.0769 | 6.218253 |
| 17.1314 | 6.218084 |
| 17.1861 | 6.217914 |
| 17.2409 | 6.217744 |
| 17.2959 | 6.217574 |
| 17.3511 | 6.217404 |
| 17.4065 | 6.217233 |
| 17.462 | 6.217062 |
| 17.5177 | 6.216891 |
| 17.5736 | 6.216719 |
| 17.6297 | 6.216547 |
| 17.6859 | 6.216375 |
| 17.7424 | 6.216203 |
| 17.799 | 6.21603 |
| 17.8558 | 6.215857 |
| 17.9127 | 6.215683 |
| 17.9699 | 6.21551 |
| 18.0272 | 6.215335 |
| 18.0848 | 6.215161 |
| 18.1425 | 6.214986 |
| 18.2004 | 6.214811 |
| 18.2584 | 6.214635 |
| 18.3167 | 6.214459 |
| 18.3751 | 6.214283 |
| 18.4338 | 6.214106 |
| 18.4926 | 6.213929 |
| 18.5516 | 6.213752 |
| 18.6108 | 6.213573 |
| 18.6702 | 6.213395 |
| 18.7297 | 6.213216 |
| 18.7895 | 6.213037 |
| 18.8494 | 6.212857 |
| 18.9096 | 6.212677 |
| 18.9699 | 6.212496 |
| 19.0304 | 6.212315 |
| 19.0912 | 6.212133 |
| 19.1521 | 6.211951 |
| 19.2132 | 6.211768 |
| 19.2745 | 6.211584 |
| 19.336 | 6.211401 |
| 19.3977 | 6.211216 |
| 19.4596 | 6.211031 |
| 19.5217 | 6.210846 |
| 19.584 | 6.21066 |
| 19.6465 | 6.210473 |
| 19.7091 | 6.210286 |
| 19.772 | 6.210098 |
| 19.8351 | 6.20991 |
| 19.8984 | 6.209721 |
| 19.9619 | 6.209531 |
| 20.0256 | 6.209341 |
| 20.0895 | 6.20915 |
| 20.1536 | 6.208958 |
| 20.2179 | 6.208766 |
| 20.2824 | 6.208573 |
| 20.3471 | 6.208379 |
| 20.412 | 6.208185 |
| 20.4772 | 6.20799 |
| 20.5425 | 6.207794 |
| 20.6081 | 6.207598 |
| 20.6738 | 6.207401 |
| 20.7398 | 6.207203 |
| 20.8059 | 6.207004 |
| 20.8723 | 6.206805 |
| 20.9389 | 6.206605 |
| 21.0057 | 6.206404 |
| 21.0728 | 6.206202 |
| 21.14 | 6.206 |
| 21.2075 | 6.205796 |
| 21.2751 | 6.205592 |
| 21.343 | 6.205387 |
| 21.4111 | 6.205182 |
| 21.4794 | 6.204975 |
| 21.548 | 6.204767 |
| 21.6167 | 6.204559 |
| 21.6857 | 6.20435 |
| 21.7549 | 6.20414 |
| 21.8243 | 6.203929 |
| 21.8939 | 6.203717 |
| 21.9638 | 6.203504 |
| 22.0339 | 6.20329 |
| 22.1042 | 6.203075 |
| 22.1747 | 6.20286 |
| 22.2455 | 6.202643 |
| 22.3164 | 6.202425 |
| 22.3876 | 6.202207 |
| 22.4591 | 6.201987 |
| 22.5307 | 6.201766 |
| 22.6026 | 6.201545 |
| 22.6747 | 6.201322 |
| 22.7471 | 6.201098 |
| 22.8197 | 6.200873 |
| 22.8925 | 6.200648 |
| 22.9655 | 6.200421 |
| 23.0388 | 6.200193 |
| 23.1123 | 6.199963 |
| 23.1861 | 6.199733 |
| 23.26 | 6.199502 |
| 23.3343 | 6.199269 |
| 23.4087 | 6.199035 |
| 23.4834 | 6.1988 |
| 23.5583 | 6.198564 |
| 23.6335 | 6.198327 |
| 23.7089 | 6.198089 |
| 23.7846 | 6.197849 |
| 23.8605 | 6.197608 |
| 23.9366 | 6.197366 |
| 24.013 | 6.197122 |
| 24.0896 | 6.196878 |
| 24.1664 | 6.196632 |
| 24.2436 | 6.196384 |
| 24.3209 | 6.196136 |
| 24.3985 | 6.195886 |
| 24.4764 | 6.195635 |
| 24.5545 | 6.195382 |
| 24.6328 | 6.195128 |
| 24.7114 | 6.194873 |
| 24.7903 | 6.194616 |
| 24.8694 | 6.194358 |
| 24.9487 | 6.194098 |
| 25.0283 | 6.193837 |
| 25.1082 | 6.193574 |
| 25.1883 | 6.193311 |
| 25.2687 | 6.193045 |
| 25.3493 | 6.192778 |
| 25.4302 | 6.19251 |
| 25.5113 | 6.19224 |
| 25.5927 | 6.191968 |
| 25.6744 | 6.191695 |
| 25.7563 | 6.19142 |
| 25.8385 | 6.191144 |
| 25.9209 | 6.190866 |
| 26.0036 | 6.190586 |
| 26.0866 | 6.190305 |
| 26.1698 | 6.190022 |
| 26.2533 | 6.189738 |
| 26.3371 | 6.189452 |
| 26.4211 | 6.189164 |
| 26.5054 | 6.188874 |
| 26.59 | 6.188583 |
| 26.6748 | 6.18829 |
| 26.76 | 6.187995 |
| 26.8453 | 6.187698 |
| 26.931 | 6.187399 |
| 27.0169 | 6.187099 |
| 27.1031 | 6.186797 |
| 27.1896 | 6.186493 |
| 27.2764 | 6.186187 |
| 27.3634 | 6.185879 |
| 27.4507 | 6.185569 |
| 27.5383 | 6.185257 |
| 27.6262 | 6.184944 |
| 27.7143 | 6.184628 |
| 27.8027 | 6.18431 |
| 27.8915 | 6.183991 |
| 27.9804 | 6.183669 |
| 28.0697 | 6.183345 |
| 28.1593 | 6.183019 |
| 28.2491 | 6.182691 |
| 28.3393 | 6.182361 |
| 28.4297 | 6.182029 |
| 28.5204 | 6.181695 |
| 28.6114 | 6.181358 |
| 28.7027 | 6.181019 |
| 28.7943 | 6.180678 |
| 28.8862 | 6.180335 |
| 28.9783 | 6.179989 |
| 29.0708 | 6.179642 |
| 29.1636 | 6.179292 |
| 29.2566 | 6.178939 |
| 29.35 | 6.178584 |
| 29.4436 | 6.178227 |
| 29.5376 | 6.177867 |
| 29.6318 | 6.177505 |
| 29.7263 | 6.177141 |
| 29.8212 | 6.176774 |
| 29.9163 | 6.176404 |
| 30.0118 | 6.176032 |
| 30.1076 | 6.175658 |
| 30.2036 | 6.175281 |
| 30.3 | 6.174901 |
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
- —
Extraordinary ray