Optical constants
Refractive index of CuCl (Cuprous chloride)
Feldman and Horowitz 1969: n 0.43–2.5 µm
- Data
- formula 4
- Range
- 0.43–2.5 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.97719
- Extinction coefficient k
- 0
- Permittivity ε1
- 3.9093
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 16.921
- Chromatic dispersion dn/dλ
- -0.278601 µm⁻¹
- Group index ng
- 2.1409
- Group velocity dispersion
- 601.296 fs²/mm
- Dispersion parameter D
- -3280.39 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
# CuCl (Cuprous chloride): Feldman and Horowitz 1969: n 0.43–2.5 µm
cucl = ls.fetch_refractiveindex("main", "CuCl", "Feldman", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cucl.range_nm) # (430, 2500) nm
eps = cucl.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_e10bee7b9ae8/lightsmith"
cucl = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cucl.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (cucl/feldman-horowitz-1969).
# ... load cucl as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cucl)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=430, 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"]).
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
RefractiveIndex.INFO (formula 4), λ in µmValid from 0.43 to 2.5 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 3.58 |
| C2 | 0.03162 |
| C3 | 2.0 |
| C4 | 0.1642 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | 0.09288 |
| C11 | -2.0 |
Comments and conditions
References
- doi:10.1364/josa.59.001406 Refractive Index of Cuprous Chloride*, Journal of the Optical Society of America (1969)
Cite
Albert Feldman and Deane Horowitz. Refractive Index of Cuprous Chloride*. Journal of the Optical Society of America, 59, 1406 (1969), doi:10.1364/josa.59.001406; 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 |
|---|---|
| 0.43 | 2.089202 |
| 0.431901 | 2.083736 |
| 0.433811 | 2.078838 |
| 0.435729 | 2.074407 |
| 0.437655 | 2.070366 |
| 0.439591 | 2.066653 |
| 0.441534 | 2.06322 |
| 0.443486 | 2.060027 |
| 0.445447 | 2.057042 |
| 0.447417 | 2.054238 |
| 0.449395 | 2.051594 |
| 0.451382 | 2.049091 |
| 0.453378 | 2.046714 |
| 0.455382 | 2.044448 |
| 0.457396 | 2.042284 |
| 0.459418 | 2.040211 |
| 0.461449 | 2.038221 |
| 0.46349 | 2.036305 |
| 0.465539 | 2.034459 |
| 0.467597 | 2.032676 |
| 0.469665 | 2.030952 |
| 0.471741 | 2.029281 |
| 0.473827 | 2.02766 |
| 0.475922 | 2.026085 |
| 0.478026 | 2.024553 |
| 0.48014 | 2.023062 |
| 0.482263 | 2.021609 |
| 0.484395 | 2.020191 |
| 0.486537 | 2.018807 |
| 0.488688 | 2.017454 |
| 0.490849 | 2.016132 |
| 0.493019 | 2.014837 |
| 0.495199 | 2.013569 |
| 0.497388 | 2.012327 |
| 0.499587 | 2.011109 |
| 0.501796 | 2.009914 |
| 0.504015 | 2.008741 |
| 0.506243 | 2.00759 |
| 0.508482 | 2.006459 |
| 0.51073 | 2.005347 |
| 0.512988 | 2.004254 |
| 0.515256 | 2.003179 |
| 0.517534 | 2.002121 |
| 0.519823 | 2.00108 |
| 0.522121 | 2.000055 |
| 0.524429 | 1.999045 |
| 0.526748 | 1.998051 |
| 0.529077 | 1.997071 |
| 0.531416 | 1.996105 |
| 0.533766 | 1.995153 |
| 0.536126 | 1.994214 |
| 0.538496 | 1.993288 |
| 0.540877 | 1.992375 |
| 0.543269 | 1.991474 |
| 0.545671 | 1.990585 |
| 0.548084 | 1.989707 |
| 0.550507 | 1.988841 |
| 0.552941 | 1.987985 |
| 0.555386 | 1.987141 |
| 0.557841 | 1.986306 |
| 0.560308 | 1.985482 |
| 0.562785 | 1.984669 |
| 0.565273 | 1.983864 |
| 0.567773 | 1.98307 |
| 0.570283 | 1.982285 |
| 0.572805 | 1.981509 |
| 0.575337 | 1.980742 |
| 0.577881 | 1.979984 |
| 0.580436 | 1.979234 |
| 0.583002 | 1.978493 |
| 0.58558 | 1.977761 |
| 0.588169 | 1.977036 |
| 0.59077 | 1.97632 |
| 0.593382 | 1.975611 |
| 0.596005 | 1.97491 |
| 0.598641 | 1.974217 |
| 0.601287 | 1.973531 |
| 0.603946 | 1.972853 |
| 0.606616 | 1.972182 |
| 0.609298 | 1.971518 |
| 0.611992 | 1.970861 |
| 0.614698 | 1.970211 |
| 0.617416 | 1.969567 |
| 0.620146 | 1.968931 |
| 0.622888 | 1.968301 |
| 0.625642 | 1.967677 |
| 0.628408 | 1.96706 |
| 0.631187 | 1.96645 |
| 0.633977 | 1.965845 |
| 0.63678 | 1.965247 |
| 0.639596 | 1.964654 |
| 0.642424 | 1.964068 |
| 0.645264 | 1.963487 |
| 0.648117 | 1.962913 |
| 0.650983 | 1.962344 |
| 0.653861 | 1.96178 |
| 0.656752 | 1.961223 |
| 0.659656 | 1.96067 |
| 0.662572 | 1.960124 |
| 0.665502 | 1.959582 |
| 0.668444 | 1.959046 |
| 0.6714 | 1.958515 |
| 0.674368 | 1.957989 |
| 0.67735 | 1.957469 |
| 0.680345 | 1.956953 |
| 0.683353 | 1.956442 |
| 0.686375 | 1.955937 |
| 0.689409 | 1.955436 |
| 0.692457 | 1.95494 |
| 0.695519 | 1.954449 |
| 0.698594 | 1.953962 |
| 0.701683 | 1.95348 |
| 0.704786 | 1.953003 |
| 0.707902 | 1.95253 |
| 0.711032 | 1.952062 |
| 0.714175 | 1.951598 |
| 0.717333 | 1.951138 |
| 0.720505 | 1.950683 |
| 0.72369 | 1.950232 |
| 0.72689 | 1.949785 |
| 0.730104 | 1.949343 |
| 0.733332 | 1.948905 |
| 0.736574 | 1.94847 |
| 0.739831 | 1.94804 |
| 0.743102 | 1.947614 |
| 0.746388 | 1.947192 |
| 0.749688 | 1.946774 |
| 0.753003 | 1.946359 |
| 0.756332 | 1.945949 |
| 0.759676 | 1.945542 |
| 0.763035 | 1.945139 |
| 0.766409 | 1.94474 |
| 0.769797 | 1.944345 |
| 0.773201 | 1.943953 |
| 0.776619 | 1.943565 |
| 0.780053 | 1.94318 |
| 0.783502 | 1.942799 |
| 0.786966 | 1.942421 |
| 0.790446 | 1.942047 |
| 0.793941 | 1.941676 |
| 0.797451 | 1.941309 |
| 0.800977 | 1.940945 |
| 0.804518 | 1.940584 |
| 0.808076 | 1.940227 |
| 0.811648 | 1.939873 |
| 0.815237 | 1.939522 |
| 0.818842 | 1.939175 |
| 0.822462 | 1.93883 |
| 0.826099 | 1.938489 |
| 0.829751 | 1.938151 |
| 0.83342 | 1.937815 |
| 0.837105 | 1.937483 |
| 0.840806 | 1.937154 |
| 0.844523 | 1.936828 |
| 0.848257 | 1.936505 |
| 0.852008 | 1.936185 |
| 0.855775 | 1.935867 |
| 0.859559 | 1.935553 |
| 0.863359 | 1.935241 |
| 0.867176 | 1.934933 |
| 0.871011 | 1.934627 |
| 0.874862 | 1.934323 |
| 0.87873 | 1.934023 |
| 0.882615 | 1.933725 |
| 0.886518 | 1.93343 |
| 0.890437 | 1.933138 |
| 0.894374 | 1.932848 |
| 0.898329 | 1.932561 |
| 0.902301 | 1.932276 |
| 0.90629 | 1.931994 |
| 0.910297 | 1.931715 |
| 0.914322 | 1.931438 |
| 0.918365 | 1.931163 |
| 0.922425 | 1.930891 |
| 0.926503 | 1.930621 |
| 0.9306 | 1.930354 |
| 0.934714 | 1.93009 |
| 0.938847 | 1.929827 |
| 0.942998 | 1.929567 |
| 0.947168 | 1.929309 |
| 0.951356 | 1.929054 |
| 0.955562 | 1.928801 |
| 0.959787 | 1.92855 |
| 0.96403 | 1.928301 |
| 0.968293 | 1.928055 |
| 0.972574 | 1.927811 |
| 0.976874 | 1.927569 |
| 0.981193 | 1.927329 |
| 0.985532 | 1.927091 |
| 0.989889 | 1.926856 |
| 0.994266 | 1.926622 |
| 0.998662 | 1.926391 |
| 1.00308 | 1.926161 |
| 1.00751 | 1.925934 |
| 1.01197 | 1.925709 |
| 1.01644 | 1.925486 |
| 1.02094 | 1.925264 |
| 1.02545 | 1.925045 |
| 1.02998 | 1.924828 |
| 1.03454 | 1.924612 |
| 1.03911 | 1.924399 |
| 1.04371 | 1.924187 |
| 1.04832 | 1.923977 |
| 1.05296 | 1.92377 |
| 1.05761 | 1.923564 |
| 1.06229 | 1.923359 |
| 1.06698 | 1.923157 |
| 1.0717 | 1.922957 |
| 1.07644 | 1.922758 |
| 1.0812 | 1.922561 |
| 1.08598 | 1.922366 |
| 1.09078 | 1.922172 |
| 1.0956 | 1.92198 |
| 1.10045 | 1.92179 |
| 1.10531 | 1.921602 |
| 1.1102 | 1.921415 |
| 1.11511 | 1.92123 |
| 1.12004 | 1.921047 |
| 1.12499 | 1.920865 |
| 1.12997 | 1.920685 |
| 1.13496 | 1.920506 |
| 1.13998 | 1.920329 |
| 1.14502 | 1.920154 |
| 1.15008 | 1.91998 |
| 1.15517 | 1.919807 |
| 1.16028 | 1.919637 |
| 1.16541 | 1.919467 |
| 1.17056 | 1.919299 |
| 1.17573 | 1.919133 |
| 1.18093 | 1.918968 |
| 1.18615 | 1.918805 |
| 1.1914 | 1.918643 |
| 1.19667 | 1.918482 |
| 1.20196 | 1.918323 |
| 1.20727 | 1.918166 |
| 1.21261 | 1.918009 |
| 1.21797 | 1.917855 |
| 1.22336 | 1.917701 |
| 1.22877 | 1.917549 |
| 1.2342 | 1.917398 |
| 1.23966 | 1.917249 |
| 1.24514 | 1.9171 |
| 1.25064 | 1.916954 |
| 1.25617 | 1.916808 |
| 1.26173 | 1.916664 |
| 1.2673 | 1.916521 |
| 1.27291 | 1.916379 |
| 1.27854 | 1.916239 |
| 1.28419 | 1.916099 |
| 1.28987 | 1.915961 |
| 1.29557 | 1.915825 |
| 1.3013 | 1.915689 |
| 1.30705 | 1.915555 |
| 1.31283 | 1.915421 |
| 1.31863 | 1.915289 |
| 1.32447 | 1.915159 |
| 1.33032 | 1.915029 |
| 1.3362 | 1.9149 |
| 1.34211 | 1.914773 |
| 1.34804 | 1.914647 |
| 1.35401 | 1.914521 |
| 1.35999 | 1.914397 |
| 1.366 | 1.914274 |
| 1.37204 | 1.914153 |
| 1.37811 | 1.914032 |
| 1.3842 | 1.913912 |
| 1.39032 | 1.913793 |
| 1.39647 | 1.913676 |
| 1.40265 | 1.913559 |
| 1.40885 | 1.913444 |
| 1.41508 | 1.913329 |
| 1.42133 | 1.913215 |
| 1.42762 | 1.913103 |
| 1.43393 | 1.912991 |
| 1.44027 | 1.912881 |
| 1.44664 | 1.912771 |
| 1.45303 | 1.912663 |
| 1.45946 | 1.912555 |
| 1.46591 | 1.912448 |
| 1.47239 | 1.912342 |
| 1.4789 | 1.912238 |
| 1.48544 | 1.912134 |
| 1.49201 | 1.912031 |
| 1.49861 | 1.911929 |
| 1.50523 | 1.911827 |
| 1.51189 | 1.911727 |
| 1.51857 | 1.911628 |
| 1.52529 | 1.911529 |
| 1.53203 | 1.911432 |
| 1.5388 | 1.911335 |
| 1.54561 | 1.911239 |
| 1.55244 | 1.911144 |
| 1.55931 | 1.911049 |
| 1.5662 | 1.910956 |
| 1.57313 | 1.910863 |
| 1.58008 | 1.910772 |
| 1.58707 | 1.910681 |
| 1.59408 | 1.91059 |
| 1.60113 | 1.910501 |
| 1.60821 | 1.910412 |
| 1.61532 | 1.910324 |
| 1.62246 | 1.910237 |
| 1.62964 | 1.910151 |
| 1.63684 | 1.910066 |
| 1.64408 | 1.909981 |
| 1.65135 | 1.909897 |
| 1.65865 | 1.909814 |
| 1.66598 | 1.909731 |
| 1.67335 | 1.909649 |
| 1.68075 | 1.909568 |
| 1.68818 | 1.909488 |
| 1.69564 | 1.909408 |
| 1.70314 | 1.909329 |
| 1.71067 | 1.909251 |
| 1.71824 | 1.909173 |
| 1.72583 | 1.909096 |
| 1.73346 | 1.90902 |
| 1.74113 | 1.908944 |
| 1.74883 | 1.90887 |
| 1.75656 | 1.908795 |
| 1.76432 | 1.908722 |
| 1.77213 | 1.908649 |
| 1.77996 | 1.908576 |
| 1.78783 | 1.908505 |
| 1.79574 | 1.908434 |
| 1.80368 | 1.908363 |
| 1.81165 | 1.908294 |
| 1.81966 | 1.908224 |
| 1.82771 | 1.908156 |
| 1.83579 | 1.908088 |
| 1.8439 | 1.908021 |
| 1.85206 | 1.907954 |
| 1.86024 | 1.907888 |
| 1.86847 | 1.907822 |
| 1.87673 | 1.907757 |
| 1.88503 | 1.907693 |
| 1.89336 | 1.907629 |
| 1.90173 | 1.907565 |
| 1.91014 | 1.907503 |
| 1.91859 | 1.90744 |
| 1.92707 | 1.907379 |
| 1.93559 | 1.907318 |
| 1.94415 | 1.907257 |
| 1.95275 | 1.907197 |
| 1.96138 | 1.907137 |
| 1.97005 | 1.907078 |
| 1.97876 | 1.90702 |
| 1.98751 | 1.906962 |
| 1.9963 | 1.906905 |
| 2.00513 | 1.906848 |
| 2.01399 | 1.906791 |
| 2.0229 | 1.906735 |
| 2.03184 | 1.90668 |
| 2.04082 | 1.906625 |
| 2.04985 | 1.90657 |
| 2.05891 | 1.906516 |
| 2.06801 | 1.906463 |
| 2.07716 | 1.90641 |
| 2.08634 | 1.906357 |
| 2.09557 | 1.906305 |
| 2.10483 | 1.906253 |
| 2.11414 | 1.906202 |
| 2.12348 | 1.906151 |
| 2.13287 | 1.906101 |
| 2.1423 | 1.906051 |
| 2.15178 | 1.906002 |
| 2.16129 | 1.905953 |
| 2.17085 | 1.905904 |
| 2.18044 | 1.905856 |
| 2.19008 | 1.905808 |
| 2.19977 | 1.905761 |
| 2.20949 | 1.905714 |
| 2.21926 | 1.905668 |
| 2.22908 | 1.905622 |
| 2.23893 | 1.905576 |
| 2.24883 | 1.905531 |
| 2.25877 | 1.905486 |
| 2.26876 | 1.905441 |
| 2.27879 | 1.905397 |
| 2.28887 | 1.905354 |
| 2.29899 | 1.90531 |
| 2.30915 | 1.905267 |
| 2.31936 | 1.905225 |
| 2.32962 | 1.905183 |
| 2.33992 | 1.905141 |
| 2.35026 | 1.905099 |
| 2.36065 | 1.905058 |
| 2.37109 | 1.905018 |
| 2.38158 | 1.904977 |
| 2.39211 | 1.904937 |
| 2.40268 | 1.904898 |
| 2.41331 | 1.904858 |
| 2.42398 | 1.904819 |
| 2.43469 | 1.904781 |
| 2.44546 | 1.904742 |
| 2.45627 | 1.904705 |
| 2.46713 | 1.904667 |
| 2.47804 | 1.90463 |
| 2.489 | 1.904593 |
| 2.5 | 1.904556 |
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
- —
Room temperature