Optical constants
Refractive index of CdSe (Cadmium selenide)
Lisitsa et al. 1969: n(e) 1.01–22.0 µm
- Data
- formula 2
- Range
- 1.01–22 µm
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.4667
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.08463
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00356357 µm⁻¹
- Group index ng
- 2.48349
- Group velocity dispersion
- 114.49 fs²/mm
- Dispersion parameter D
- -9.72134 ps/(nm·km)
- Photon energy
- 0.263236 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
# CdSe (Cadmium selenide): Lisitsa et al. 1969: n(e) 1.01–22.0 µm
cdse = ls.fetch_refractiveindex("main", "CdSe", "Lisitsa-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdse.range_nm) # (1010, 22000) nm
eps = cdse.eps([4710]) # 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_b317c36ec173/lightsmith"
cdse = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cdse.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (cdse/lisitsa-1969-e).
# ... load cdse as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cdse)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=1010, 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_b317c36ec173/lightsmith?model=drude_lorentz"
cdse_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 1.01 to 22.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 3.2009 |
| C2 | 1.8875 |
| C3 | 0.2171 |
| C4 | 3.6461 |
| C5 | 3629.0 |
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:10.1002/pssb.19690310146 Dispersion of the Refractive Indices and Birefringence of CdS<sub><i>x</i></sub>Se<sub>1−<i>x</i></sub> Single Crystals, physica status solidi (b) (1969)
- doi:10.1364/ao.15.0305_1 Refractive index interpolation in phase-matching, Applied Optics (1976)
Cite
M. P. Lisitsa, L. F. Gudymenko, V. N. Malinko and S. F. Terekhova. Dispersion of the Refractive Indices and Birefringence of CdS<sub><i>x</i></sub>Se<sub>1−<i>x</i></sub> Single Crystals. physica status solidi (b), 31, 389-399 (1969), doi:10.1002/pssb.19690310146; 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 |
|---|---|
| 1.01 | 2.568595 |
| 1.01783 | 2.566665 |
| 1.02572 | 2.564779 |
| 1.03367 | 2.562935 |
| 1.04168 | 2.561132 |
| 1.04976 | 2.559369 |
| 1.0579 | 2.557645 |
| 1.0661 | 2.555959 |
| 1.07436 | 2.554309 |
| 1.08269 | 2.552695 |
| 1.09108 | 2.551116 |
| 1.09954 | 2.549571 |
| 1.10806 | 2.548058 |
| 1.11665 | 2.546578 |
| 1.12531 | 2.545129 |
| 1.13403 | 2.54371 |
| 1.14282 | 2.54232 |
| 1.15168 | 2.54096 |
| 1.16061 | 2.539627 |
| 1.16961 | 2.538322 |
| 1.17868 | 2.537044 |
| 1.18781 | 2.535791 |
| 1.19702 | 2.534564 |
| 1.2063 | 2.533362 |
| 1.21565 | 2.532183 |
| 1.22507 | 2.531028 |
| 1.23457 | 2.529897 |
| 1.24414 | 2.528787 |
| 1.25379 | 2.5277 |
| 1.2635 | 2.526633 |
| 1.2733 | 2.525588 |
| 1.28317 | 2.524563 |
| 1.29312 | 2.523557 |
| 1.30314 | 2.522572 |
| 1.31324 | 2.521605 |
| 1.32342 | 2.520656 |
| 1.33368 | 2.519726 |
| 1.34402 | 2.518813 |
| 1.35444 | 2.517918 |
| 1.36494 | 2.517039 |
| 1.37552 | 2.516177 |
| 1.38618 | 2.515331 |
| 1.39693 | 2.514501 |
| 1.40776 | 2.513686 |
| 1.41867 | 2.512886 |
| 1.42967 | 2.512101 |
| 1.44075 | 2.511331 |
| 1.45192 | 2.510574 |
| 1.46317 | 2.509831 |
| 1.47452 | 2.509102 |
| 1.48595 | 2.508386 |
| 1.49747 | 2.507683 |
| 1.50907 | 2.506992 |
| 1.52077 | 2.506314 |
| 1.53256 | 2.505648 |
| 1.54444 | 2.504994 |
| 1.55641 | 2.504352 |
| 1.56848 | 2.50372 |
| 1.58064 | 2.5031 |
| 1.59289 | 2.502491 |
| 1.60524 | 2.501892 |
| 1.61768 | 2.501304 |
| 1.63022 | 2.500726 |
| 1.64286 | 2.500159 |
| 1.6556 | 2.4996 |
| 1.66843 | 2.499052 |
| 1.68136 | 2.498513 |
| 1.6944 | 2.497983 |
| 1.70753 | 2.497462 |
| 1.72077 | 2.49695 |
| 1.73411 | 2.496447 |
| 1.74755 | 2.495952 |
| 1.7611 | 2.495466 |
| 1.77475 | 2.494987 |
| 1.78851 | 2.494517 |
| 1.80237 | 2.494055 |
| 1.81634 | 2.4936 |
| 1.83042 | 2.493153 |
| 1.84461 | 2.492713 |
| 1.85891 | 2.49228 |
| 1.87332 | 2.491854 |
| 1.88784 | 2.491436 |
| 1.90248 | 2.491024 |
| 1.91723 | 2.490619 |
| 1.93209 | 2.49022 |
| 1.94707 | 2.489828 |
| 1.96216 | 2.489442 |
| 1.97737 | 2.489062 |
| 1.9927 | 2.488689 |
| 2.00815 | 2.488321 |
| 2.02371 | 2.487959 |
| 2.0394 | 2.487603 |
| 2.05521 | 2.487252 |
| 2.07114 | 2.486907 |
| 2.0872 | 2.486567 |
| 2.10338 | 2.486232 |
| 2.11968 | 2.485903 |
| 2.13611 | 2.485579 |
| 2.15267 | 2.485259 |
| 2.16936 | 2.484945 |
| 2.18618 | 2.484635 |
| 2.20312 | 2.48433 |
| 2.2202 | 2.484029 |
| 2.23741 | 2.483733 |
| 2.25476 | 2.483442 |
| 2.27224 | 2.483154 |
| 2.28985 | 2.482871 |
| 2.3076 | 2.482593 |
| 2.32549 | 2.482318 |
| 2.34352 | 2.482047 |
| 2.36168 | 2.48178 |
| 2.37999 | 2.481517 |
| 2.39844 | 2.481258 |
| 2.41703 | 2.481002 |
| 2.43577 | 2.48075 |
| 2.45465 | 2.480501 |
| 2.47368 | 2.480256 |
| 2.49285 | 2.480015 |
| 2.51218 | 2.479776 |
| 2.53165 | 2.479541 |
| 2.55128 | 2.47931 |
| 2.57106 | 2.479081 |
| 2.59099 | 2.478855 |
| 2.61107 | 2.478632 |
| 2.63131 | 2.478413 |
| 2.65171 | 2.478196 |
| 2.67227 | 2.477982 |
| 2.69298 | 2.477771 |
| 2.71386 | 2.477562 |
| 2.73489 | 2.477356 |
| 2.7561 | 2.477153 |
| 2.77746 | 2.476952 |
| 2.79899 | 2.476753 |
| 2.82069 | 2.476557 |
| 2.84255 | 2.476364 |
| 2.86459 | 2.476173 |
| 2.8868 | 2.475984 |
| 2.90917 | 2.475797 |
| 2.93173 | 2.475612 |
| 2.95445 | 2.47543 |
| 2.97735 | 2.475249 |
| 3.00044 | 2.475071 |
| 3.02369 | 2.474894 |
| 3.04713 | 2.47472 |
| 3.07075 | 2.474547 |
| 3.09456 | 2.474376 |
| 3.11855 | 2.474207 |
| 3.14272 | 2.474039 |
| 3.16708 | 2.473874 |
| 3.19164 | 2.47371 |
| 3.21638 | 2.473547 |
| 3.24131 | 2.473386 |
| 3.26644 | 2.473227 |
| 3.29176 | 2.473069 |
| 3.31728 | 2.472913 |
| 3.34299 | 2.472758 |
| 3.36891 | 2.472604 |
| 3.39502 | 2.472452 |
| 3.42134 | 2.4723 |
| 3.44786 | 2.472151 |
| 3.47459 | 2.472002 |
| 3.50152 | 2.471854 |
| 3.52867 | 2.471708 |
| 3.55602 | 2.471563 |
| 3.58359 | 2.471418 |
| 3.61137 | 2.471275 |
| 3.63936 | 2.471133 |
| 3.66757 | 2.470992 |
| 3.696 | 2.470851 |
| 3.72466 | 2.470711 |
| 3.75353 | 2.470573 |
| 3.78263 | 2.470435 |
| 3.81195 | 2.470298 |
| 3.8415 | 2.470161 |
| 3.87128 | 2.470025 |
| 3.90129 | 2.46989 |
| 3.93153 | 2.469756 |
| 3.96201 | 2.469622 |
| 3.99272 | 2.469488 |
| 4.02367 | 2.469355 |
| 4.05486 | 2.469223 |
| 4.0863 | 2.469091 |
| 4.11797 | 2.468959 |
| 4.14989 | 2.468828 |
| 4.18206 | 2.468697 |
| 4.21448 | 2.468567 |
| 4.24715 | 2.468437 |
| 4.28008 | 2.468307 |
| 4.31326 | 2.468177 |
| 4.34669 | 2.468048 |
| 4.38039 | 2.467918 |
| 4.41434 | 2.467789 |
| 4.44856 | 2.46766 |
| 4.48305 | 2.467531 |
| 4.5178 | 2.467401 |
| 4.55282 | 2.467272 |
| 4.58812 | 2.467143 |
| 4.62368 | 2.467014 |
| 4.65952 | 2.466885 |
| 4.69564 | 2.466755 |
| 4.73204 | 2.466626 |
| 4.76873 | 2.466496 |
| 4.80569 | 2.466366 |
| 4.84295 | 2.466235 |
| 4.88049 | 2.466105 |
| 4.91832 | 2.465974 |
| 4.95645 | 2.465842 |
| 4.99487 | 2.465711 |
| 5.03359 | 2.465579 |
| 5.07261 | 2.465446 |
| 5.11193 | 2.465313 |
| 5.15156 | 2.465179 |
| 5.1915 | 2.465045 |
| 5.23174 | 2.46491 |
| 5.2723 | 2.464775 |
| 5.31317 | 2.464639 |
| 5.35435 | 2.464502 |
| 5.39586 | 2.464364 |
| 5.43769 | 2.464226 |
| 5.47984 | 2.464087 |
| 5.52232 | 2.463947 |
| 5.56513 | 2.463806 |
| 5.60827 | 2.463664 |
| 5.65174 | 2.463522 |
| 5.69556 | 2.463378 |
| 5.73971 | 2.463233 |
| 5.7842 | 2.463088 |
| 5.82904 | 2.462941 |
| 5.87423 | 2.462793 |
| 5.91976 | 2.462644 |
| 5.96565 | 2.462493 |
| 6.0119 | 2.462342 |
| 6.0585 | 2.462189 |
| 6.10547 | 2.462035 |
| 6.1528 | 2.461879 |
| 6.20049 | 2.461723 |
| 6.24856 | 2.461564 |
| 6.297 | 2.461404 |
| 6.34581 | 2.461243 |
| 6.395 | 2.46108 |
| 6.44458 | 2.460916 |
| 6.49453 | 2.46075 |
| 6.54488 | 2.460582 |
| 6.59561 | 2.460412 |
| 6.64674 | 2.460241 |
| 6.69827 | 2.460068 |
| 6.75019 | 2.459893 |
| 6.80252 | 2.459716 |
| 6.85525 | 2.459538 |
| 6.90839 | 2.459357 |
| 6.96195 | 2.459174 |
| 7.01592 | 2.458989 |
| 7.0703 | 2.458802 |
| 7.12511 | 2.458613 |
| 7.18034 | 2.458421 |
| 7.23601 | 2.458227 |
| 7.2921 | 2.458031 |
| 7.34863 | 2.457833 |
| 7.40559 | 2.457632 |
| 7.463 | 2.457429 |
| 7.52085 | 2.457223 |
| 7.57915 | 2.457014 |
| 7.63791 | 2.456803 |
| 7.69712 | 2.456589 |
| 7.75678 | 2.456372 |
| 7.81691 | 2.456153 |
| 7.87751 | 2.45593 |
| 7.93857 | 2.455705 |
| 8.00011 | 2.455477 |
| 8.06213 | 2.455245 |
| 8.12463 | 2.455011 |
| 8.18761 | 2.454773 |
| 8.25108 | 2.454532 |
| 8.31504 | 2.454288 |
| 8.3795 | 2.454041 |
| 8.44446 | 2.45379 |
| 8.50992 | 2.453535 |
| 8.57588 | 2.453277 |
| 8.64236 | 2.453015 |
| 8.70936 | 2.45275 |
| 8.77687 | 2.45248 |
| 8.84491 | 2.452207 |
| 8.91348 | 2.45193 |
| 8.98257 | 2.451649 |
| 9.05221 | 2.451364 |
| 9.12238 | 2.451074 |
| 9.19309 | 2.450781 |
| 9.26436 | 2.450483 |
| 9.33617 | 2.45018 |
| 9.40855 | 2.449873 |
| 9.48148 | 2.449562 |
| 9.55498 | 2.449246 |
| 9.62905 | 2.448925 |
| 9.70369 | 2.448599 |
| 9.77892 | 2.448268 |
| 9.85472 | 2.447932 |
| 9.93112 | 2.447591 |
| 10.0081 | 2.447245 |
| 10.0857 | 2.446894 |
| 10.1639 | 2.446537 |
| 10.2427 | 2.446175 |
| 10.3221 | 2.445806 |
| 10.4021 | 2.445433 |
| 10.4827 | 2.445053 |
| 10.564 | 2.444667 |
| 10.6459 | 2.444276 |
| 10.7284 | 2.443878 |
| 10.8116 | 2.443474 |
| 10.8954 | 2.443063 |
| 10.9798 | 2.442646 |
| 11.0649 | 2.442222 |
| 11.1507 | 2.441791 |
| 11.2372 | 2.441354 |
| 11.3243 | 2.440909 |
| 11.412 | 2.440457 |
| 11.5005 | 2.439998 |
| 11.5897 | 2.439532 |
| 11.6795 | 2.439058 |
| 11.77 | 2.438576 |
| 11.8613 | 2.438086 |
| 11.9532 | 2.437588 |
| 12.0459 | 2.437082 |
| 12.1393 | 2.436568 |
| 12.2334 | 2.436045 |
| 12.3282 | 2.435513 |
| 12.4238 | 2.434973 |
| 12.5201 | 2.434423 |
| 12.6171 | 2.433865 |
| 12.7149 | 2.433297 |
| 12.8135 | 2.432719 |
| 12.9128 | 2.432132 |
| 13.0129 | 2.431535 |
| 13.1138 | 2.430927 |
| 13.2155 | 2.43031 |
| 13.3179 | 2.429682 |
| 13.4212 | 2.429043 |
| 13.5252 | 2.428393 |
| 13.63 | 2.427732 |
| 13.7357 | 2.42706 |
| 13.8422 | 2.426376 |
| 13.9495 | 2.425681 |
| 14.0576 | 2.424973 |
| 14.1666 | 2.424253 |
| 14.2764 | 2.42352 |
| 14.3871 | 2.422775 |
| 14.4986 | 2.422017 |
| 14.611 | 2.421245 |
| 14.7243 | 2.42046 |
| 14.8384 | 2.419661 |
| 14.9534 | 2.418848 |
| 15.0693 | 2.41802 |
| 15.1862 | 2.417178 |
| 15.3039 | 2.41632 |
| 15.4225 | 2.415448 |
| 15.5421 | 2.414559 |
| 15.6626 | 2.413655 |
| 15.784 | 2.412735 |
| 15.9063 | 2.411797 |
| 16.0296 | 2.410843 |
| 16.1539 | 2.409872 |
| 16.2791 | 2.408882 |
| 16.4053 | 2.407875 |
| 16.5325 | 2.406849 |
| 16.6606 | 2.405804 |
| 16.7898 | 2.40474 |
| 16.9199 | 2.403657 |
| 17.0511 | 2.402553 |
| 17.1833 | 2.401428 |
| 17.3165 | 2.400283 |
| 17.4507 | 2.399116 |
| 17.586 | 2.397927 |
| 17.7223 | 2.396716 |
| 17.8597 | 2.395481 |
| 17.9982 | 2.394224 |
| 18.1377 | 2.392942 |
| 18.2783 | 2.391636 |
| 18.42 | 2.390304 |
| 18.5628 | 2.388947 |
| 18.7067 | 2.387564 |
| 18.8517 | 2.386154 |
| 18.9978 | 2.384716 |
| 19.1451 | 2.383251 |
| 19.2935 | 2.381756 |
| 19.4431 | 2.380232 |
| 19.5938 | 2.378678 |
| 19.7457 | 2.377093 |
| 19.8987 | 2.375476 |
| 20.053 | 2.373827 |
| 20.2084 | 2.372145 |
| 20.3651 | 2.370429 |
| 20.523 | 2.368677 |
| 20.682 | 2.366891 |
| 20.8424 | 2.365067 |
| 21.0039 | 2.363206 |
| 21.1668 | 2.361307 |
| 21.3308 | 2.359368 |
| 21.4962 | 2.357389 |
| 21.6628 | 2.355368 |
| 21.8308 | 2.353305 |
| 22 | 2.351198 |
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 (e)