Optical constants
Refractive index of CdTe (Cadmium telluride)
DeBell et al. 1979: n 6–22 µm; 300 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
- 2.66827
- Extinction coefficient k
- 0
- Permittivity ε1
- 7.11966
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00292298 µm⁻¹
- Group index ng
- 2.70188
- Group velocity dispersion
- -615.657 fs²/mm
- Dispersion parameter D
- 8.76887 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; 300 K
cdte = ls.fetch_refractiveindex("main", "CdTe", "DeBell-300K", 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_dbbc28763591/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-1979-300k).
# ... 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_dbbc28763591/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 | 6.1977889 |
| C3 | 0.1005326 |
| C4 | 3.2243821 |
| C5 | 5279.518 |
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 | 2.681978 |
| 6.01957 | 2.68193 |
| 6.0392 | 2.681882 |
| 6.0589 | 2.681834 |
| 6.07866 | 2.681785 |
| 6.09849 | 2.681737 |
| 6.11838 | 2.681688 |
| 6.13834 | 2.68164 |
| 6.15836 | 2.681591 |
| 6.17844 | 2.681543 |
| 6.1986 | 2.681494 |
| 6.21881 | 2.681445 |
| 6.2391 | 2.681396 |
| 6.25945 | 2.681348 |
| 6.27986 | 2.681299 |
| 6.30035 | 2.68125 |
| 6.3209 | 2.6812 |
| 6.34151 | 2.681151 |
| 6.3622 | 2.681102 |
| 6.38295 | 2.681053 |
| 6.40377 | 2.681003 |
| 6.42465 | 2.680954 |
| 6.44561 | 2.680904 |
| 6.46663 | 2.680855 |
| 6.48772 | 2.680805 |
| 6.50889 | 2.680755 |
| 6.53011 | 2.680705 |
| 6.55141 | 2.680655 |
| 6.57278 | 2.680605 |
| 6.59422 | 2.680555 |
| 6.61573 | 2.680504 |
| 6.63731 | 2.680454 |
| 6.65896 | 2.680403 |
| 6.68067 | 2.680353 |
| 6.70246 | 2.680302 |
| 6.72433 | 2.680251 |
| 6.74626 | 2.6802 |
| 6.76826 | 2.680149 |
| 6.79034 | 2.680098 |
| 6.81249 | 2.680046 |
| 6.83471 | 2.679995 |
| 6.857 | 2.679943 |
| 6.87936 | 2.679891 |
| 6.9018 | 2.67984 |
| 6.92431 | 2.679787 |
| 6.9469 | 2.679735 |
| 6.96956 | 2.679683 |
| 6.99229 | 2.679631 |
| 7.01509 | 2.679578 |
| 7.03798 | 2.679525 |
| 7.06093 | 2.679472 |
| 7.08396 | 2.679419 |
| 7.10707 | 2.679366 |
| 7.13025 | 2.679313 |
| 7.1535 | 2.679259 |
| 7.17684 | 2.679206 |
| 7.20024 | 2.679152 |
| 7.22373 | 2.679098 |
| 7.24729 | 2.679044 |
| 7.27093 | 2.678989 |
| 7.29464 | 2.678935 |
| 7.31844 | 2.67888 |
| 7.34231 | 2.678825 |
| 7.36625 | 2.67877 |
| 7.39028 | 2.678715 |
| 7.41439 | 2.678659 |
| 7.43857 | 2.678604 |
| 7.46283 | 2.678548 |
| 7.48717 | 2.678492 |
| 7.51159 | 2.678436 |
| 7.53609 | 2.67838 |
| 7.56067 | 2.678323 |
| 7.58533 | 2.678266 |
| 7.61007 | 2.678209 |
| 7.6349 | 2.678152 |
| 7.6598 | 2.678095 |
| 7.68478 | 2.678037 |
| 7.70985 | 2.677979 |
| 7.73499 | 2.677921 |
| 7.76022 | 2.677863 |
| 7.78553 | 2.677804 |
| 7.81093 | 2.677746 |
| 7.8364 | 2.677687 |
| 7.86196 | 2.677627 |
| 7.88761 | 2.677568 |
| 7.91333 | 2.677508 |
| 7.93914 | 2.677448 |
| 7.96504 | 2.677388 |
| 7.99102 | 2.677328 |
| 8.01708 | 2.677267 |
| 8.04323 | 2.677206 |
| 8.06946 | 2.677145 |
| 8.09578 | 2.677084 |
| 8.12219 | 2.677022 |
| 8.14868 | 2.67696 |
| 8.17526 | 2.676898 |
| 8.20193 | 2.676836 |
| 8.22868 | 2.676773 |
| 8.25552 | 2.67671 |
| 8.28244 | 2.676647 |
| 8.30946 | 2.676583 |
| 8.33656 | 2.676519 |
| 8.36375 | 2.676455 |
| 8.39103 | 2.676391 |
| 8.4184 | 2.676326 |
| 8.44586 | 2.676261 |
| 8.4734 | 2.676196 |
| 8.50104 | 2.67613 |
| 8.52877 | 2.676065 |
| 8.55659 | 2.675998 |
| 8.5845 | 2.675932 |
| 8.6125 | 2.675865 |
| 8.64059 | 2.675798 |
| 8.66877 | 2.67573 |
| 8.69704 | 2.675663 |
| 8.72541 | 2.675595 |
| 8.75387 | 2.675526 |
| 8.78242 | 2.675457 |
| 8.81107 | 2.675388 |
| 8.83981 | 2.675319 |
| 8.86864 | 2.675249 |
| 8.89756 | 2.675179 |
| 8.92659 | 2.675109 |
| 8.9557 | 2.675038 |
| 8.98491 | 2.674967 |
| 9.01422 | 2.674895 |
| 9.04362 | 2.674823 |
| 9.07312 | 2.674751 |
| 9.10271 | 2.674679 |
| 9.1324 | 2.674606 |
| 9.16219 | 2.674532 |
| 9.19207 | 2.674459 |
| 9.22205 | 2.674385 |
| 9.25213 | 2.67431 |
| 9.28231 | 2.674235 |
| 9.31258 | 2.67416 |
| 9.34296 | 2.674084 |
| 9.37343 | 2.674008 |
| 9.404 | 2.673932 |
| 9.43468 | 2.673855 |
| 9.46545 | 2.673778 |
| 9.49632 | 2.6737 |
| 9.5273 | 2.673622 |
| 9.55837 | 2.673544 |
| 9.58955 | 2.673465 |
| 9.62082 | 2.673385 |
| 9.6522 | 2.673306 |
| 9.68369 | 2.673225 |
| 9.71527 | 2.673145 |
| 9.74696 | 2.673064 |
| 9.77875 | 2.672982 |
| 9.81065 | 2.6729 |
| 9.84264 | 2.672818 |
| 9.87475 | 2.672735 |
| 9.90696 | 2.672652 |
| 9.93927 | 2.672568 |
| 9.97169 | 2.672483 |
| 10.0042 | 2.672399 |
| 10.0368 | 2.672313 |
| 10.0696 | 2.672228 |
| 10.1024 | 2.672142 |
| 10.1354 | 2.672055 |
| 10.1684 | 2.671968 |
| 10.2016 | 2.67188 |
| 10.2349 | 2.671792 |
| 10.2683 | 2.671703 |
| 10.3017 | 2.671614 |
| 10.3353 | 2.671524 |
| 10.3691 | 2.671434 |
| 10.4029 | 2.671343 |
| 10.4368 | 2.671252 |
| 10.4708 | 2.67116 |
| 10.505 | 2.671068 |
| 10.5393 | 2.670975 |
| 10.5736 | 2.670882 |
| 10.6081 | 2.670788 |
| 10.6427 | 2.670693 |
| 10.6774 | 2.670598 |
| 10.7123 | 2.670502 |
| 10.7472 | 2.670406 |
| 10.7823 | 2.670309 |
| 10.8174 | 2.670212 |
| 10.8527 | 2.670114 |
| 10.8881 | 2.670016 |
| 10.9236 | 2.669916 |
| 10.9593 | 2.669817 |
| 10.995 | 2.669716 |
| 11.0309 | 2.669615 |
| 11.0668 | 2.669514 |
| 11.1029 | 2.669412 |
| 11.1391 | 2.669309 |
| 11.1755 | 2.669206 |
| 11.2119 | 2.669102 |
| 11.2485 | 2.668997 |
| 11.2852 | 2.668892 |
| 11.322 | 2.668786 |
| 11.3589 | 2.668679 |
| 11.396 | 2.668572 |
| 11.4331 | 2.668464 |
| 11.4704 | 2.668355 |
| 11.5078 | 2.668246 |
| 11.5454 | 2.668136 |
| 11.583 | 2.668025 |
| 11.6208 | 2.667914 |
| 11.6587 | 2.667802 |
| 11.6967 | 2.667689 |
| 11.7349 | 2.667576 |
| 11.7732 | 2.667462 |
| 11.8116 | 2.667347 |
| 11.8501 | 2.667231 |
| 11.8888 | 2.667115 |
| 11.9275 | 2.666998 |
| 11.9664 | 2.66688 |
| 12.0055 | 2.666762 |
| 12.0446 | 2.666643 |
| 12.0839 | 2.666523 |
| 12.1233 | 2.666402 |
| 12.1629 | 2.66628 |
| 12.2025 | 2.666158 |
| 12.2423 | 2.666035 |
| 12.2823 | 2.665911 |
| 12.3223 | 2.665786 |
| 12.3625 | 2.665661 |
| 12.4028 | 2.665534 |
| 12.4433 | 2.665407 |
| 12.4839 | 2.665279 |
| 12.5246 | 2.66515 |
| 12.5654 | 2.665021 |
| 12.6064 | 2.66489 |
| 12.6475 | 2.664759 |
| 12.6888 | 2.664627 |
| 12.7302 | 2.664494 |
| 12.7717 | 2.66436 |
| 12.8134 | 2.664225 |
| 12.8552 | 2.66409 |
| 12.8971 | 2.663953 |
| 12.9392 | 2.663816 |
| 12.9814 | 2.663677 |
| 13.0237 | 2.663538 |
| 13.0662 | 2.663398 |
| 13.1088 | 2.663257 |
| 13.1515 | 2.663115 |
| 13.1944 | 2.662972 |
| 13.2375 | 2.662828 |
| 13.2807 | 2.662683 |
| 13.324 | 2.662537 |
| 13.3674 | 2.662391 |
| 13.411 | 2.662243 |
| 13.4548 | 2.662094 |
| 13.4987 | 2.661944 |
| 13.5427 | 2.661794 |
| 13.5869 | 2.661642 |
| 13.6312 | 2.661489 |
| 13.6756 | 2.661335 |
| 13.7202 | 2.661181 |
| 13.765 | 2.661025 |
| 13.8099 | 2.660868 |
| 13.8549 | 2.66071 |
| 13.9001 | 2.660551 |
| 13.9455 | 2.660391 |
| 13.9909 | 2.66023 |
| 14.0366 | 2.660067 |
| 14.0824 | 2.659904 |
| 14.1283 | 2.659739 |
| 14.1744 | 2.659574 |
| 14.2206 | 2.659407 |
| 14.267 | 2.659239 |
| 14.3135 | 2.65907 |
| 14.3602 | 2.6589 |
| 14.407 | 2.658729 |
| 14.454 | 2.658556 |
| 14.5012 | 2.658383 |
| 14.5485 | 2.658208 |
| 14.5959 | 2.658032 |
| 14.6435 | 2.657854 |
| 14.6913 | 2.657676 |
| 14.7392 | 2.657496 |
| 14.7873 | 2.657315 |
| 14.8355 | 2.657133 |
| 14.8839 | 2.65695 |
| 14.9325 | 2.656765 |
| 14.9812 | 2.656579 |
| 15.03 | 2.656391 |
| 15.079 | 2.656203 |
| 15.1282 | 2.656013 |
| 15.1776 | 2.655822 |
| 15.2271 | 2.655629 |
| 15.2767 | 2.655435 |
| 15.3266 | 2.65524 |
| 15.3766 | 2.655043 |
| 15.4267 | 2.654845 |
| 15.477 | 2.654646 |
| 15.5275 | 2.654445 |
| 15.5782 | 2.654243 |
| 15.629 | 2.654039 |
| 15.6799 | 2.653834 |
| 15.7311 | 2.653627 |
| 15.7824 | 2.653419 |
| 15.8339 | 2.65321 |
| 15.8855 | 2.652999 |
| 15.9373 | 2.652787 |
| 15.9893 | 2.652573 |
| 16.0415 | 2.652357 |
| 16.0938 | 2.65214 |
| 16.1463 | 2.651922 |
| 16.1989 | 2.651702 |
| 16.2518 | 2.65148 |
| 16.3048 | 2.651257 |
| 16.358 | 2.651032 |
| 16.4113 | 2.650806 |
| 16.4648 | 2.650578 |
| 16.5185 | 2.650348 |
| 16.5724 | 2.650117 |
| 16.6265 | 2.649884 |
| 16.6807 | 2.649649 |
| 16.7351 | 2.649413 |
| 16.7897 | 2.649175 |
| 16.8445 | 2.648935 |
| 16.8994 | 2.648694 |
| 16.9545 | 2.64845 |
| 17.0098 | 2.648205 |
| 17.0653 | 2.647959 |
| 17.121 | 2.64771 |
| 17.1768 | 2.64746 |
| 17.2328 | 2.647208 |
| 17.289 | 2.646954 |
| 17.3454 | 2.646698 |
| 17.402 | 2.64644 |
| 17.4588 | 2.64618 |
| 17.5157 | 2.645919 |
| 17.5728 | 2.645656 |
| 17.6302 | 2.64539 |
| 17.6877 | 2.645123 |
| 17.7453 | 2.644854 |
| 17.8032 | 2.644583 |
| 17.8613 | 2.644309 |
| 17.9196 | 2.644034 |
| 17.978 | 2.643757 |
| 18.0366 | 2.643478 |
| 18.0955 | 2.643196 |
| 18.1545 | 2.642913 |
| 18.2137 | 2.642627 |
| 18.2731 | 2.64234 |
| 18.3327 | 2.64205 |
| 18.3925 | 2.641758 |
| 18.4525 | 2.641464 |
| 18.5127 | 2.641168 |
| 18.5731 | 2.640869 |
| 18.6336 | 2.640568 |
| 18.6944 | 2.640265 |
| 18.7554 | 2.63996 |
| 18.8166 | 2.639653 |
| 18.8779 | 2.639343 |
| 18.9395 | 2.639031 |
| 19.0013 | 2.638716 |
| 19.0633 | 2.638399 |
| 19.1254 | 2.63808 |
| 19.1878 | 2.637759 |
| 19.2504 | 2.637434 |
| 19.3132 | 2.637108 |
| 19.3762 | 2.636779 |
| 19.4394 | 2.636447 |
| 19.5028 | 2.636113 |
| 19.5664 | 2.635777 |
| 19.6302 | 2.635438 |
| 19.6942 | 2.635096 |
| 19.7585 | 2.634752 |
| 19.8229 | 2.634405 |
| 19.8876 | 2.634055 |
| 19.9525 | 2.633703 |
| 20.0175 | 2.633348 |
| 20.0828 | 2.632991 |
| 20.1483 | 2.63263 |
| 20.214 | 2.632267 |
| 20.28 | 2.631901 |
| 20.3461 | 2.631532 |
| 20.4125 | 2.631161 |
| 20.4791 | 2.630786 |
| 20.5459 | 2.630409 |
| 20.6129 | 2.630028 |
| 20.6801 | 2.629645 |
| 20.7476 | 2.629259 |
| 20.8152 | 2.628869 |
| 20.8831 | 2.628477 |
| 20.9512 | 2.628082 |
| 21.0196 | 2.627683 |
| 21.0881 | 2.627282 |
| 21.1569 | 2.626877 |
| 21.2259 | 2.626469 |
| 21.2951 | 2.626058 |
| 21.3646 | 2.625644 |
| 21.4343 | 2.625226 |
| 21.5042 | 2.624805 |
| 21.5743 | 2.624381 |
| 21.6447 | 2.623953 |
| 21.7153 | 2.623523 |
| 21.7861 | 2.623088 |
| 21.8572 | 2.62265 |
| 21.9285 | 2.622209 |
| 22 | 2.621764 |
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
- —
300 K (26.85 °C)