Optical constants
Refractive index of ZnSe (Zinc selenide)
Connolly et al. 1979: n 0.54–18.2 µm
- Data
- formula 1
- Range
- 0.54–18.2 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.62436
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.88728
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.867602 µm⁻¹
- Group index ng
- 3.13417
- Group velocity dispersion
- 2474.51 fs²/mm
- Dispersion parameter D
- -13499.8 ps/(nm·km)
- Photon energy
- 2.11001 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
# ZnSe (Zinc selenide): Connolly et al. 1979: n 0.54–18.2 µm
znse = ls.fetch_refractiveindex("main", "ZnSe", "Connolly", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(znse.range_nm) # (540, 18200) nm
eps = znse.eps([633]) # 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_5392073e1a91/lightsmith"
znse = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(znse.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (znse/connolly-1979).
# ... load znse as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=znse)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=540, stop_nm=1000, 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_5392073e1a91/lightsmith?model=drude_lorentz"
znse_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 (formula 1), λ in µmValid from 0.54 to 18.2 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 4.45813734 |
| C3 | 0.200859853 |
| C4 | 0.467216334 |
| C5 | 0.391371166 |
| C6 | 2.8956629 |
| C7 | 47.1362108 |
Comments and conditions
References
2) B. Tatian. Fitting refractive-index data with the Sellmeier dispersion formula. Appl. Opt. 23, 4477-4485 (1984)
*Ref. 2 provides a dispersion formula based on data from Ref. 1
- doi:10.1117/12.957359 <title>Specifications Of Raytran Material</title>, SPIE Proceedings (1979)
- doi:10.1364/ao.23.004477 Fitting refractive-index data with the Sellmeier dispersion formula, Applied Optics (1984)
Cite
J. Connolly, B. diBenedetto and R. Donadio. <title>Specifications Of Raytran Material</title>. SPIE Proceedings, 0181, 141-144 (1979), doi:10.1117/12.957359; Berge Tatian. Fitting refractive-index data with the Sellmeier dispersion formula. Applied Optics, 23, 4477 (1984), doi:10.1364/ao.23.004477; 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 |
|---|---|
| 0.54 | 2.675407 |
| 0.544782 | 2.669203 |
| 0.549606 | 2.663235 |
| 0.554473 | 2.657489 |
| 0.559382 | 2.651952 |
| 0.564336 | 2.646611 |
| 0.569333 | 2.641455 |
| 0.574374 | 2.636475 |
| 0.579461 | 2.631661 |
| 0.584592 | 2.627005 |
| 0.589768 | 2.622498 |
| 0.594991 | 2.618134 |
| 0.600259 | 2.613905 |
| 0.605575 | 2.609805 |
| 0.610937 | 2.605828 |
| 0.616347 | 2.601969 |
| 0.621805 | 2.598223 |
| 0.627311 | 2.594584 |
| 0.632866 | 2.591049 |
| 0.63847 | 2.587612 |
| 0.644123 | 2.584271 |
| 0.649827 | 2.581021 |
| 0.655581 | 2.577858 |
| 0.661387 | 2.57478 |
| 0.667243 | 2.571783 |
| 0.673152 | 2.568865 |
| 0.679112 | 2.566021 |
| 0.685126 | 2.563251 |
| 0.691193 | 2.560551 |
| 0.697313 | 2.557918 |
| 0.703488 | 2.555352 |
| 0.709717 | 2.552848 |
| 0.716002 | 2.550406 |
| 0.722342 | 2.548022 |
| 0.728739 | 2.545697 |
| 0.735192 | 2.543426 |
| 0.741702 | 2.54121 |
| 0.74827 | 2.539045 |
| 0.754896 | 2.536931 |
| 0.76158 | 2.534867 |
| 0.768324 | 2.532849 |
| 0.775128 | 2.530878 |
| 0.781991 | 2.528952 |
| 0.788916 | 2.527069 |
| 0.795902 | 2.525229 |
| 0.802949 | 2.523429 |
| 0.81006 | 2.52167 |
| 0.817233 | 2.51995 |
| 0.824469 | 2.518267 |
| 0.83177 | 2.516621 |
| 0.839135 | 2.515011 |
| 0.846566 | 2.513435 |
| 0.854062 | 2.511894 |
| 0.861625 | 2.510385 |
| 0.869255 | 2.508909 |
| 0.876952 | 2.507464 |
| 0.884718 | 2.50605 |
| 0.892552 | 2.504665 |
| 0.900455 | 2.503309 |
| 0.908429 | 2.501982 |
| 0.916473 | 2.500682 |
| 0.924588 | 2.499409 |
| 0.932776 | 2.498163 |
| 0.941036 | 2.496942 |
| 0.949368 | 2.495746 |
| 0.957775 | 2.494574 |
| 0.966256 | 2.493426 |
| 0.974812 | 2.492301 |
| 0.983444 | 2.491199 |
| 0.992153 | 2.49012 |
| 1.00094 | 2.489061 |
| 1.0098 | 2.488024 |
| 1.01874 | 2.487008 |
| 1.02776 | 2.486012 |
| 1.03687 | 2.485035 |
| 1.04605 | 2.484078 |
| 1.05531 | 2.483139 |
| 1.06465 | 2.482219 |
| 1.07408 | 2.481317 |
| 1.08359 | 2.480433 |
| 1.09319 | 2.479566 |
| 1.10287 | 2.478715 |
| 1.11263 | 2.477881 |
| 1.12249 | 2.477063 |
| 1.13243 | 2.476261 |
| 1.14245 | 2.475474 |
| 1.15257 | 2.474702 |
| 1.16278 | 2.473945 |
| 1.17307 | 2.473202 |
| 1.18346 | 2.472474 |
| 1.19394 | 2.471759 |
| 1.20451 | 2.471058 |
| 1.21518 | 2.470369 |
| 1.22594 | 2.469694 |
| 1.2368 | 2.469032 |
| 1.24775 | 2.468381 |
| 1.2588 | 2.467743 |
| 1.26994 | 2.467117 |
| 1.28119 | 2.466503 |
| 1.29253 | 2.465899 |
| 1.30398 | 2.465307 |
| 1.31553 | 2.464726 |
| 1.32717 | 2.464156 |
| 1.33893 | 2.463596 |
| 1.35078 | 2.463046 |
| 1.36274 | 2.462506 |
| 1.37481 | 2.461976 |
| 1.38698 | 2.461455 |
| 1.39927 | 2.460944 |
| 1.41166 | 2.460443 |
| 1.42416 | 2.45995 |
| 1.43677 | 2.459466 |
| 1.44949 | 2.458991 |
| 1.46233 | 2.458524 |
| 1.47528 | 2.458066 |
| 1.48834 | 2.457615 |
| 1.50152 | 2.457173 |
| 1.51481 | 2.456738 |
| 1.52823 | 2.456312 |
| 1.54176 | 2.455892 |
| 1.55541 | 2.45548 |
| 1.56919 | 2.455075 |
| 1.58308 | 2.454677 |
| 1.5971 | 2.454286 |
| 1.61124 | 2.453902 |
| 1.62551 | 2.453525 |
| 1.6399 | 2.453154 |
| 1.65442 | 2.452789 |
| 1.66907 | 2.45243 |
| 1.68385 | 2.452078 |
| 1.69877 | 2.451731 |
| 1.71381 | 2.451391 |
| 1.72898 | 2.451056 |
| 1.74429 | 2.450727 |
| 1.75974 | 2.450403 |
| 1.77532 | 2.450084 |
| 1.79104 | 2.449771 |
| 1.8069 | 2.449463 |
| 1.8229 | 2.44916 |
| 1.83904 | 2.448862 |
| 1.85533 | 2.448569 |
| 1.87176 | 2.44828 |
| 1.88833 | 2.447997 |
| 1.90505 | 2.447717 |
| 1.92192 | 2.447442 |
| 1.93894 | 2.447172 |
| 1.95611 | 2.446906 |
| 1.97343 | 2.446644 |
| 1.99091 | 2.446386 |
| 2.00854 | 2.446132 |
| 2.02632 | 2.445882 |
| 2.04427 | 2.445635 |
| 2.06237 | 2.445393 |
| 2.08063 | 2.445154 |
| 2.09905 | 2.444918 |
| 2.11764 | 2.444687 |
| 2.13639 | 2.444458 |
| 2.15531 | 2.444233 |
| 2.1744 | 2.444011 |
| 2.19365 | 2.443793 |
| 2.21308 | 2.443577 |
| 2.23267 | 2.443365 |
| 2.25244 | 2.443155 |
| 2.27239 | 2.442948 |
| 2.29251 | 2.442745 |
| 2.31281 | 2.442544 |
| 2.33329 | 2.442345 |
| 2.35395 | 2.442149 |
| 2.3748 | 2.441956 |
| 2.39583 | 2.441766 |
| 2.41704 | 2.441578 |
| 2.43844 | 2.441392 |
| 2.46004 | 2.441208 |
| 2.48182 | 2.441027 |
| 2.5038 | 2.440848 |
| 2.52597 | 2.440671 |
| 2.54834 | 2.440496 |
| 2.5709 | 2.440323 |
| 2.59367 | 2.440152 |
| 2.61663 | 2.439984 |
| 2.6398 | 2.439816 |
| 2.66318 | 2.439651 |
| 2.68676 | 2.439488 |
| 2.71055 | 2.439326 |
| 2.73456 | 2.439166 |
| 2.75877 | 2.439007 |
| 2.7832 | 2.43885 |
| 2.80784 | 2.438694 |
| 2.83271 | 2.43854 |
| 2.85779 | 2.438387 |
| 2.8831 | 2.438236 |
| 2.90863 | 2.438086 |
| 2.93438 | 2.437937 |
| 2.96037 | 2.437789 |
| 2.98658 | 2.437643 |
| 3.01303 | 2.437497 |
| 3.03971 | 2.437353 |
| 3.06662 | 2.437209 |
| 3.09378 | 2.437067 |
| 3.12118 | 2.436925 |
| 3.14881 | 2.436785 |
| 3.1767 | 2.436645 |
| 3.20483 | 2.436506 |
| 3.23321 | 2.436367 |
| 3.26184 | 2.43623 |
| 3.29072 | 2.436093 |
| 3.31986 | 2.435956 |
| 3.34926 | 2.43582 |
| 3.37891 | 2.435685 |
| 3.40883 | 2.43555 |
| 3.43902 | 2.435415 |
| 3.46947 | 2.435281 |
| 3.50019 | 2.435147 |
| 3.53119 | 2.435014 |
| 3.56246 | 2.434881 |
| 3.594 | 2.434748 |
| 3.62583 | 2.434615 |
| 3.65793 | 2.434482 |
| 3.69033 | 2.434349 |
| 3.723 | 2.434217 |
| 3.75597 | 2.434084 |
| 3.78923 | 2.433951 |
| 3.82278 | 2.433819 |
| 3.85664 | 2.433686 |
| 3.89079 | 2.433552 |
| 3.92524 | 2.433419 |
| 3.96 | 2.433286 |
| 3.99506 | 2.433152 |
| 4.03044 | 2.433017 |
| 4.06613 | 2.432883 |
| 4.10213 | 2.432748 |
| 4.13846 | 2.432612 |
| 4.17511 | 2.432476 |
| 4.21208 | 2.432339 |
| 4.24937 | 2.432202 |
| 4.287 | 2.432064 |
| 4.32496 | 2.431926 |
| 4.36326 | 2.431786 |
| 4.4019 | 2.431646 |
| 4.44088 | 2.431505 |
| 4.4802 | 2.431363 |
| 4.51987 | 2.43122 |
| 4.5599 | 2.431077 |
| 4.60028 | 2.430932 |
| 4.64101 | 2.430786 |
| 4.68211 | 2.430639 |
| 4.72357 | 2.430491 |
| 4.7654 | 2.430341 |
| 4.80759 | 2.430191 |
| 4.85016 | 2.430039 |
| 4.89311 | 2.429885 |
| 4.93644 | 2.429731 |
| 4.98015 | 2.429574 |
| 5.02425 | 2.429417 |
| 5.06874 | 2.429257 |
| 5.11363 | 2.429097 |
| 5.15891 | 2.428934 |
| 5.20459 | 2.42877 |
| 5.25068 | 2.428603 |
| 5.29717 | 2.428436 |
| 5.34408 | 2.428266 |
| 5.3914 | 2.428094 |
| 5.43914 | 2.42792 |
| 5.48731 | 2.427744 |
| 5.5359 | 2.427566 |
| 5.58492 | 2.427386 |
| 5.63437 | 2.427204 |
| 5.68426 | 2.427019 |
| 5.7346 | 2.426832 |
| 5.78538 | 2.426642 |
| 5.83661 | 2.42645 |
| 5.88829 | 2.426256 |
| 5.94043 | 2.426058 |
| 5.99304 | 2.425859 |
| 6.0461 | 2.425656 |
| 6.09964 | 2.42545 |
| 6.15366 | 2.425242 |
| 6.20815 | 2.425031 |
| 6.26312 | 2.424816 |
| 6.31858 | 2.424598 |
| 6.37453 | 2.424378 |
| 6.43098 | 2.424154 |
| 6.48792 | 2.423926 |
| 6.54538 | 2.423695 |
| 6.60333 | 2.423461 |
| 6.66181 | 2.423223 |
| 6.7208 | 2.422981 |
| 6.78031 | 2.422736 |
| 6.84035 | 2.422487 |
| 6.90092 | 2.422234 |
| 6.96203 | 2.421976 |
| 7.02368 | 2.421715 |
| 7.08587 | 2.42145 |
| 7.14862 | 2.42118 |
| 7.21192 | 2.420906 |
| 7.27578 | 2.420627 |
| 7.34021 | 2.420343 |
| 7.40521 | 2.420055 |
| 7.47078 | 2.419762 |
| 7.53694 | 2.419465 |
| 7.60368 | 2.419162 |
| 7.67101 | 2.418854 |
| 7.73893 | 2.418541 |
| 7.80746 | 2.418222 |
| 7.8766 | 2.417898 |
| 7.94634 | 2.417569 |
| 8.01671 | 2.417233 |
| 8.0877 | 2.416892 |
| 8.15931 | 2.416545 |
| 8.23157 | 2.416192 |
| 8.30446 | 2.415832 |
| 8.37799 | 2.415466 |
| 8.45218 | 2.415094 |
| 8.52702 | 2.414715 |
| 8.60253 | 2.414329 |
| 8.67871 | 2.413936 |
| 8.75556 | 2.413536 |
| 8.83309 | 2.413129 |
| 8.91131 | 2.412714 |
| 8.99022 | 2.412292 |
| 9.06982 | 2.411862 |
| 9.15014 | 2.411425 |
| 9.23116 | 2.410979 |
| 9.31291 | 2.410525 |
| 9.39537 | 2.410062 |
| 9.47857 | 2.409591 |
| 9.5625 | 2.409111 |
| 9.64718 | 2.408622 |
| 9.7326 | 2.408124 |
| 9.81879 | 2.407616 |
| 9.90573 | 2.407099 |
| 9.99345 | 2.406572 |
| 10.0819 | 2.406035 |
| 10.1712 | 2.405488 |
| 10.2613 | 2.40493 |
| 10.3521 | 2.404362 |
| 10.4438 | 2.403782 |
| 10.5363 | 2.403191 |
| 10.6296 | 2.402589 |
| 10.7237 | 2.401975 |
| 10.8187 | 2.401349 |
| 10.9145 | 2.400711 |
| 11.0111 | 2.400061 |
| 11.1086 | 2.399397 |
| 11.207 | 2.398721 |
| 11.3062 | 2.398031 |
| 11.4064 | 2.397327 |
| 11.5074 | 2.396609 |
| 11.6093 | 2.395877 |
| 11.7121 | 2.39513 |
| 11.8158 | 2.394369 |
| 11.9204 | 2.393591 |
| 12.0259 | 2.392798 |
| 12.1324 | 2.391989 |
| 12.2399 | 2.391164 |
| 12.3483 | 2.390321 |
| 12.4576 | 2.389462 |
| 12.5679 | 2.388584 |
| 12.6792 | 2.387689 |
| 12.7915 | 2.386775 |
| 12.9047 | 2.385841 |
| 13.019 | 2.384889 |
| 13.1343 | 2.383916 |
| 13.2506 | 2.382923 |
| 13.3679 | 2.381909 |
| 13.4863 | 2.380874 |
| 13.6057 | 2.379816 |
| 13.7262 | 2.378736 |
| 13.8478 | 2.377633 |
| 13.9704 | 2.376506 |
| 14.0941 | 2.375355 |
| 14.2189 | 2.374179 |
| 14.3448 | 2.372978 |
| 14.4718 | 2.37175 |
| 14.6 | 2.370495 |
| 14.7293 | 2.369212 |
| 14.8597 | 2.367902 |
| 14.9913 | 2.366562 |
| 15.124 | 2.365192 |
| 15.2579 | 2.363792 |
| 15.3931 | 2.36236 |
| 15.5294 | 2.360895 |
| 15.6669 | 2.359398 |
| 15.8056 | 2.357866 |
| 15.9456 | 2.356299 |
| 16.0868 | 2.354696 |
| 16.2292 | 2.353056 |
| 16.3729 | 2.351378 |
| 16.5179 | 2.349661 |
| 16.6642 | 2.347903 |
| 16.8117 | 2.346104 |
| 16.9606 | 2.344262 |
| 17.1108 | 2.342376 |
| 17.2623 | 2.340445 |
| 17.4152 | 2.338467 |
| 17.5694 | 2.336441 |
| 17.725 | 2.334366 |
| 17.8819 | 2.332239 |
| 18.0403 | 2.33006 |
| 18.2 | 2.327827 |
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
- —
CVD ZnSe, 23 °C