Optical constants
Refractive index of CdTe (Cadmium telluride)
DeBell et al. 1979: n 6–22 µm; 80 K
- Data
- formula 2
- Range
- 6–22 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.64549
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.99862
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00292796 µm⁻¹
- Group index ng
- 2.67916
- Group velocity dispersion
- -618.883 fs²/mm
- Dispersion parameter D
- 8.81482 ps/(nm·km)
- Photon energy
- 0.107812 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
# CdTe (Cadmium telluride): DeBell et al. 1979: n 6–22 µm; 80 K
cdte = ls.fetch_refractiveindex("main", "CdTe", "DeBell-80K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdte.range_nm) # (6000, 22000) nm
eps = cdte.eps([11500]) # 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_4bffeb8cdbfa/lightsmith"
cdte = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cdte.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (cdte/debell-1979-80k).
# ... load cdte as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cdte)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=6000, stop_nm=22000, 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_4bffeb8cdbfa/lightsmith?model=drude_lorentz"
cdte_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 6.0 to 22.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 6.0756642 |
| C3 | 0.1053945 |
| C4 | 2.8743304 |
| C5 | 4773.944 |
Comments and conditions
References
- doi:10.1364/ao.18.003114 Cryogenic refractive indices and temperature coefficients of cadmium telluride from 6 μm to 22 μm, Applied Optics (1979)
Cite
A. G. DeBell et al.. Cryogenic refractive indices and temperature coefficients of cadmium telluride from 6 μm to 22 μm. Applied Optics, 18, 3114 (1979), doi:10.1364/ao.18.003114; 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 |
|---|---|
| 6 | 2.65926 |
| 6.01957 | 2.659211 |
| 6.0392 | 2.659162 |
| 6.0589 | 2.659113 |
| 6.07866 | 2.659064 |
| 6.09849 | 2.659015 |
| 6.11838 | 2.658966 |
| 6.13834 | 2.658917 |
| 6.15836 | 2.658868 |
| 6.17844 | 2.658819 |
| 6.1986 | 2.658769 |
| 6.21881 | 2.65872 |
| 6.2391 | 2.658671 |
| 6.25945 | 2.658621 |
| 6.27986 | 2.658572 |
| 6.30035 | 2.658522 |
| 6.3209 | 2.658472 |
| 6.34151 | 2.658423 |
| 6.3622 | 2.658373 |
| 6.38295 | 2.658323 |
| 6.40377 | 2.658273 |
| 6.42465 | 2.658223 |
| 6.44561 | 2.658173 |
| 6.46663 | 2.658123 |
| 6.48772 | 2.658072 |
| 6.50889 | 2.658022 |
| 6.53011 | 2.657971 |
| 6.55141 | 2.657921 |
| 6.57278 | 2.65787 |
| 6.59422 | 2.657819 |
| 6.61573 | 2.657769 |
| 6.63731 | 2.657718 |
| 6.65896 | 2.657667 |
| 6.68067 | 2.657615 |
| 6.70246 | 2.657564 |
| 6.72433 | 2.657513 |
| 6.74626 | 2.657461 |
| 6.76826 | 2.65741 |
| 6.79034 | 2.657358 |
| 6.81249 | 2.657306 |
| 6.83471 | 2.657254 |
| 6.857 | 2.657202 |
| 6.87936 | 2.65715 |
| 6.9018 | 2.657098 |
| 6.92431 | 2.657045 |
| 6.9469 | 2.656992 |
| 6.96956 | 2.65694 |
| 6.99229 | 2.656887 |
| 7.01509 | 2.656834 |
| 7.03798 | 2.656781 |
| 7.06093 | 2.656727 |
| 7.08396 | 2.656674 |
| 7.10707 | 2.65662 |
| 7.13025 | 2.656567 |
| 7.1535 | 2.656513 |
| 7.17684 | 2.656459 |
| 7.20024 | 2.656404 |
| 7.22373 | 2.65635 |
| 7.24729 | 2.656295 |
| 7.27093 | 2.656241 |
| 7.29464 | 2.656186 |
| 7.31844 | 2.656131 |
| 7.34231 | 2.656075 |
| 7.36625 | 2.65602 |
| 7.39028 | 2.655964 |
| 7.41439 | 2.655909 |
| 7.43857 | 2.655853 |
| 7.46283 | 2.655797 |
| 7.48717 | 2.65574 |
| 7.51159 | 2.655684 |
| 7.53609 | 2.655627 |
| 7.56067 | 2.65557 |
| 7.58533 | 2.655513 |
| 7.61007 | 2.655456 |
| 7.6349 | 2.655398 |
| 7.6598 | 2.65534 |
| 7.68478 | 2.655282 |
| 7.70985 | 2.655224 |
| 7.73499 | 2.655166 |
| 7.76022 | 2.655107 |
| 7.78553 | 2.655048 |
| 7.81093 | 2.654989 |
| 7.8364 | 2.65493 |
| 7.86196 | 2.654871 |
| 7.88761 | 2.654811 |
| 7.91333 | 2.654751 |
| 7.93914 | 2.654691 |
| 7.96504 | 2.65463 |
| 7.99102 | 2.65457 |
| 8.01708 | 2.654509 |
| 8.04323 | 2.654448 |
| 8.06946 | 2.654386 |
| 8.09578 | 2.654325 |
| 8.12219 | 2.654263 |
| 8.14868 | 2.6542 |
| 8.17526 | 2.654138 |
| 8.20193 | 2.654075 |
| 8.22868 | 2.654012 |
| 8.25552 | 2.653949 |
| 8.28244 | 2.653886 |
| 8.30946 | 2.653822 |
| 8.33656 | 2.653758 |
| 8.36375 | 2.653693 |
| 8.39103 | 2.653629 |
| 8.4184 | 2.653564 |
| 8.44586 | 2.653499 |
| 8.4734 | 2.653433 |
| 8.50104 | 2.653367 |
| 8.52877 | 2.653301 |
| 8.55659 | 2.653235 |
| 8.5845 | 2.653168 |
| 8.6125 | 2.653101 |
| 8.64059 | 2.653034 |
| 8.66877 | 2.652966 |
| 8.69704 | 2.652898 |
| 8.72541 | 2.65283 |
| 8.75387 | 2.652761 |
| 8.78242 | 2.652692 |
| 8.81107 | 2.652623 |
| 8.83981 | 2.652553 |
| 8.86864 | 2.652483 |
| 8.89756 | 2.652413 |
| 8.92659 | 2.652342 |
| 8.9557 | 2.652271 |
| 8.98491 | 2.6522 |
| 9.01422 | 2.652128 |
| 9.04362 | 2.652056 |
| 9.07312 | 2.651984 |
| 9.10271 | 2.651911 |
| 9.1324 | 2.651838 |
| 9.16219 | 2.651764 |
| 9.19207 | 2.651691 |
| 9.22205 | 2.651616 |
| 9.25213 | 2.651542 |
| 9.28231 | 2.651467 |
| 9.31258 | 2.651391 |
| 9.34296 | 2.651315 |
| 9.37343 | 2.651239 |
| 9.404 | 2.651163 |
| 9.43468 | 2.651086 |
| 9.46545 | 2.651008 |
| 9.49632 | 2.65093 |
| 9.5273 | 2.650852 |
| 9.55837 | 2.650773 |
| 9.58955 | 2.650694 |
| 9.62082 | 2.650615 |
| 9.6522 | 2.650535 |
| 9.68369 | 2.650455 |
| 9.71527 | 2.650374 |
| 9.74696 | 2.650292 |
| 9.77875 | 2.650211 |
| 9.81065 | 2.650129 |
| 9.84264 | 2.650046 |
| 9.87475 | 2.649963 |
| 9.90696 | 2.64988 |
| 9.93927 | 2.649796 |
| 9.97169 | 2.649711 |
| 10.0042 | 2.649626 |
| 10.0368 | 2.649541 |
| 10.0696 | 2.649455 |
| 10.1024 | 2.649369 |
| 10.1354 | 2.649282 |
| 10.1684 | 2.649194 |
| 10.2016 | 2.649107 |
| 10.2349 | 2.649018 |
| 10.2683 | 2.648929 |
| 10.3017 | 2.64884 |
| 10.3353 | 2.64875 |
| 10.3691 | 2.64866 |
| 10.4029 | 2.648569 |
| 10.4368 | 2.648478 |
| 10.4708 | 2.648386 |
| 10.505 | 2.648293 |
| 10.5393 | 2.6482 |
| 10.5736 | 2.648107 |
| 10.6081 | 2.648012 |
| 10.6427 | 2.647918 |
| 10.6774 | 2.647823 |
| 10.7123 | 2.647727 |
| 10.7472 | 2.64763 |
| 10.7823 | 2.647533 |
| 10.8174 | 2.647436 |
| 10.8527 | 2.647338 |
| 10.8881 | 2.647239 |
| 10.9236 | 2.64714 |
| 10.9593 | 2.64704 |
| 10.995 | 2.646939 |
| 11.0309 | 2.646838 |
| 11.0668 | 2.646737 |
| 11.1029 | 2.646634 |
| 11.1391 | 2.646531 |
| 11.1755 | 2.646428 |
| 11.2119 | 2.646324 |
| 11.2485 | 2.646219 |
| 11.2852 | 2.646113 |
| 11.322 | 2.646007 |
| 11.3589 | 2.6459 |
| 11.396 | 2.645793 |
| 11.4331 | 2.645685 |
| 11.4704 | 2.645576 |
| 11.5078 | 2.645467 |
| 11.5454 | 2.645356 |
| 11.583 | 2.645246 |
| 11.6208 | 2.645134 |
| 11.6587 | 2.645022 |
| 11.6967 | 2.644909 |
| 11.7349 | 2.644795 |
| 11.7732 | 2.644681 |
| 11.8116 | 2.644566 |
| 11.8501 | 2.64445 |
| 11.8888 | 2.644334 |
| 11.9275 | 2.644217 |
| 11.9664 | 2.644099 |
| 12.0055 | 2.64398 |
| 12.0446 | 2.64386 |
| 12.0839 | 2.64374 |
| 12.1233 | 2.643619 |
| 12.1629 | 2.643497 |
| 12.2025 | 2.643375 |
| 12.2423 | 2.643251 |
| 12.2823 | 2.643127 |
| 12.3223 | 2.643002 |
| 12.3625 | 2.642876 |
| 12.4028 | 2.64275 |
| 12.4433 | 2.642622 |
| 12.4839 | 2.642494 |
| 12.5246 | 2.642365 |
| 12.5654 | 2.642235 |
| 12.6064 | 2.642105 |
| 12.6475 | 2.641973 |
| 12.6888 | 2.64184 |
| 12.7302 | 2.641707 |
| 12.7717 | 2.641573 |
| 12.8134 | 2.641438 |
| 12.8552 | 2.641302 |
| 12.8971 | 2.641165 |
| 12.9392 | 2.641027 |
| 12.9814 | 2.640889 |
| 13.0237 | 2.640749 |
| 13.0662 | 2.640609 |
| 13.1088 | 2.640467 |
| 13.1515 | 2.640325 |
| 13.1944 | 2.640181 |
| 13.2375 | 2.640037 |
| 13.2807 | 2.639892 |
| 13.324 | 2.639746 |
| 13.3674 | 2.639599 |
| 13.411 | 2.63945 |
| 13.4548 | 2.639301 |
| 13.4987 | 2.639151 |
| 13.5427 | 2.639 |
| 13.5869 | 2.638848 |
| 13.6312 | 2.638694 |
| 13.6756 | 2.63854 |
| 13.7202 | 2.638385 |
| 13.765 | 2.638229 |
| 13.8099 | 2.638071 |
| 13.8549 | 2.637913 |
| 13.9001 | 2.637753 |
| 13.9455 | 2.637593 |
| 13.9909 | 2.637431 |
| 14.0366 | 2.637268 |
| 14.0824 | 2.637104 |
| 14.1283 | 2.636939 |
| 14.1744 | 2.636773 |
| 14.2206 | 2.636606 |
| 14.267 | 2.636437 |
| 14.3135 | 2.636268 |
| 14.3602 | 2.636097 |
| 14.407 | 2.635925 |
| 14.454 | 2.635752 |
| 14.5012 | 2.635577 |
| 14.5485 | 2.635402 |
| 14.5959 | 2.635225 |
| 14.6435 | 2.635047 |
| 14.6913 | 2.634868 |
| 14.7392 | 2.634687 |
| 14.7873 | 2.634506 |
| 14.8355 | 2.634323 |
| 14.8839 | 2.634138 |
| 14.9325 | 2.633953 |
| 14.9812 | 2.633766 |
| 15.03 | 2.633578 |
| 15.079 | 2.633388 |
| 15.1282 | 2.633198 |
| 15.1776 | 2.633005 |
| 15.2271 | 2.632812 |
| 15.2767 | 2.632617 |
| 15.3266 | 2.632421 |
| 15.3766 | 2.632223 |
| 15.4267 | 2.632024 |
| 15.477 | 2.631824 |
| 15.5275 | 2.631622 |
| 15.5782 | 2.631419 |
| 15.629 | 2.631214 |
| 15.6799 | 2.631008 |
| 15.7311 | 2.6308 |
| 15.7824 | 2.630591 |
| 15.8339 | 2.630381 |
| 15.8855 | 2.630169 |
| 15.9373 | 2.629955 |
| 15.9893 | 2.62974 |
| 16.0415 | 2.629523 |
| 16.0938 | 2.629305 |
| 16.1463 | 2.629085 |
| 16.1989 | 2.628864 |
| 16.2518 | 2.628641 |
| 16.3048 | 2.628416 |
| 16.358 | 2.62819 |
| 16.4113 | 2.627962 |
| 16.4648 | 2.627733 |
| 16.5185 | 2.627502 |
| 16.5724 | 2.627269 |
| 16.6265 | 2.627035 |
| 16.6807 | 2.626798 |
| 16.7351 | 2.62656 |
| 16.7897 | 2.626321 |
| 16.8445 | 2.626079 |
| 16.8994 | 2.625836 |
| 16.9545 | 2.625591 |
| 17.0098 | 2.625345 |
| 17.0653 | 2.625096 |
| 17.121 | 2.624846 |
| 17.1768 | 2.624594 |
| 17.2328 | 2.62434 |
| 17.289 | 2.624084 |
| 17.3454 | 2.623826 |
| 17.402 | 2.623566 |
| 17.4588 | 2.623305 |
| 17.5157 | 2.623041 |
| 17.5728 | 2.622776 |
| 17.6302 | 2.622508 |
| 17.6877 | 2.622239 |
| 17.7453 | 2.621967 |
| 17.8032 | 2.621694 |
| 17.8613 | 2.621419 |
| 17.9196 | 2.621141 |
| 17.978 | 2.620861 |
| 18.0366 | 2.62058 |
| 18.0955 | 2.620296 |
| 18.1545 | 2.62001 |
| 18.2137 | 2.619722 |
| 18.2731 | 2.619432 |
| 18.3327 | 2.619139 |
| 18.3925 | 2.618845 |
| 18.4525 | 2.618548 |
| 18.5127 | 2.618249 |
| 18.5731 | 2.617948 |
| 18.6336 | 2.617644 |
| 18.6944 | 2.617338 |
| 18.7554 | 2.61703 |
| 18.8166 | 2.616719 |
| 18.8779 | 2.616406 |
| 18.9395 | 2.616091 |
| 19.0013 | 2.615773 |
| 19.0633 | 2.615453 |
| 19.1254 | 2.615131 |
| 19.1878 | 2.614805 |
| 19.2504 | 2.614478 |
| 19.3132 | 2.614148 |
| 19.3762 | 2.613815 |
| 19.4394 | 2.61348 |
| 19.5028 | 2.613142 |
| 19.5664 | 2.612802 |
| 19.6302 | 2.612459 |
| 19.6942 | 2.612114 |
| 19.7585 | 2.611765 |
| 19.8229 | 2.611414 |
| 19.8876 | 2.611061 |
| 19.9525 | 2.610704 |
| 20.0175 | 2.610345 |
| 20.0828 | 2.609983 |
| 20.1483 | 2.609618 |
| 20.214 | 2.60925 |
| 20.28 | 2.60888 |
| 20.3461 | 2.608506 |
| 20.4125 | 2.60813 |
| 20.4791 | 2.60775 |
| 20.5459 | 2.607368 |
| 20.6129 | 2.606982 |
| 20.6801 | 2.606594 |
| 20.7476 | 2.606203 |
| 20.8152 | 2.605808 |
| 20.8831 | 2.60541 |
| 20.9512 | 2.605009 |
| 21.0196 | 2.604605 |
| 21.0881 | 2.604198 |
| 21.1569 | 2.603787 |
| 21.2259 | 2.603374 |
| 21.2951 | 2.602956 |
| 21.3646 | 2.602536 |
| 21.4343 | 2.602112 |
| 21.5042 | 2.601685 |
| 21.5743 | 2.601254 |
| 21.6447 | 2.60082 |
| 21.7153 | 2.600382 |
| 21.7861 | 2.599941 |
| 21.8572 | 2.599496 |
| 21.9285 | 2.599048 |
| 22 | 2.598596 |
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
- —
80 K (-193.1 °C)