Optical constants
Refractive index of SrF2 (Strontium fluoride)
Li 1980: n 0.15–12.0 µm
- Data
- formula 1
- Range
- 0.15–14 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.4381
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.06814
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 92.129
- Chromatic dispersion dn/dλ
- -0.0245185 µm⁻¹
- Group index ng
- 1.45251
- Group velocity dispersion
- 44.279 fs²/mm
- Dispersion parameter D
- -241.566 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
# SrF2 (Strontium fluoride): Li 1980: n 0.15–12.0 µm
srf2 = ls.fetch_refractiveindex("main", "SrF2", "Li", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(srf2.range_nm) # (150, 14000) nm
eps = srf2.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_e9f4973e764e/lightsmith"
srf2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(srf2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (srf2/li-1980).
# ... load srf2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=srf2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, 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_e9f4973e764e/lightsmith?model=drude_lorentz"
srf2_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 0.15 to 14.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.33973 |
| C2 | 0.7097 |
| C3 | 0.09597 |
| C4 | 0.1788 |
| C5 | 26.03 |
| C6 | 3.8796 |
| C7 | 45.6 |
Comments and conditions
References
* Sellmeier formula is derived by critical analysis of experimental data from several sources.
** There is a misprint in the dispersion formula in the paper: "-" instead of "+" before the last term of the equation.
- doi:10.1063/1.555616 Refractive index of alkaline earth halides and its wavelength and temperature derivatives, Journal of Physical and Chemical Reference Data (1980)
Cite
H. H. Li. Refractive index of alkaline earth halides and its wavelength and temperature derivatives. Journal of Physical and Chemical Reference Data, 9, 161-290 (1980), doi:10.1063/1.555616; 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 |
|---|---|
| 0.15 | 1.594123 |
| 0.151715 | 1.58833 |
| 0.15345 | 1.582818 |
| 0.155204 | 1.577566 |
| 0.156979 | 1.572559 |
| 0.158774 | 1.567781 |
| 0.160589 | 1.563218 |
| 0.162425 | 1.558855 |
| 0.164282 | 1.554682 |
| 0.166161 | 1.550688 |
| 0.16806 | 1.546862 |
| 0.169982 | 1.543194 |
| 0.171926 | 1.539675 |
| 0.173891 | 1.536299 |
| 0.17588 | 1.533056 |
| 0.177891 | 1.529941 |
| 0.179924 | 1.526945 |
| 0.181982 | 1.524064 |
| 0.184062 | 1.521292 |
| 0.186167 | 1.518623 |
| 0.188296 | 1.516051 |
| 0.190448 | 1.513574 |
| 0.192626 | 1.511185 |
| 0.194828 | 1.508881 |
| 0.197056 | 1.506659 |
| 0.199309 | 1.504513 |
| 0.201588 | 1.502442 |
| 0.203893 | 1.500441 |
| 0.206224 | 1.498507 |
| 0.208582 | 1.496639 |
| 0.210967 | 1.494832 |
| 0.213379 | 1.493084 |
| 0.215819 | 1.491394 |
| 0.218286 | 1.489758 |
| 0.220782 | 1.488174 |
| 0.223307 | 1.486641 |
| 0.22586 | 1.485156 |
| 0.228442 | 1.483717 |
| 0.231054 | 1.482323 |
| 0.233696 | 1.480972 |
| 0.236368 | 1.479662 |
| 0.239071 | 1.478392 |
| 0.241804 | 1.47716 |
| 0.244569 | 1.475965 |
| 0.247365 | 1.474806 |
| 0.250193 | 1.47368 |
| 0.253054 | 1.472588 |
| 0.255947 | 1.471528 |
| 0.258874 | 1.470498 |
| 0.261834 | 1.469498 |
| 0.264827 | 1.468527 |
| 0.267855 | 1.467583 |
| 0.270918 | 1.466666 |
| 0.274016 | 1.465775 |
| 0.277149 | 1.464909 |
| 0.280318 | 1.464067 |
| 0.283523 | 1.463249 |
| 0.286764 | 1.462452 |
| 0.290043 | 1.461678 |
| 0.293359 | 1.460925 |
| 0.296714 | 1.460193 |
| 0.300106 | 1.45948 |
| 0.303537 | 1.458787 |
| 0.307008 | 1.458112 |
| 0.310518 | 1.457455 |
| 0.314069 | 1.456816 |
| 0.31766 | 1.456193 |
| 0.321292 | 1.455587 |
| 0.324965 | 1.454997 |
| 0.328681 | 1.454423 |
| 0.332439 | 1.453863 |
| 0.33624 | 1.453318 |
| 0.340084 | 1.452787 |
| 0.343973 | 1.45227 |
| 0.347906 | 1.451766 |
| 0.351884 | 1.451275 |
| 0.355907 | 1.450796 |
| 0.359976 | 1.45033 |
| 0.364092 | 1.449875 |
| 0.368255 | 1.449432 |
| 0.372466 | 1.449 |
| 0.376724 | 1.448579 |
| 0.381032 | 1.448169 |
| 0.385388 | 1.447768 |
| 0.389795 | 1.447378 |
| 0.394251 | 1.446997 |
| 0.398759 | 1.446626 |
| 0.403319 | 1.446264 |
| 0.40793 | 1.445911 |
| 0.412594 | 1.445566 |
| 0.417312 | 1.44523 |
| 0.422083 | 1.444902 |
| 0.426909 | 1.444582 |
| 0.43179 | 1.444269 |
| 0.436727 | 1.443965 |
| 0.441721 | 1.443667 |
| 0.446771 | 1.443377 |
| 0.451879 | 1.443093 |
| 0.457046 | 1.442817 |
| 0.462272 | 1.442547 |
| 0.467557 | 1.442283 |
| 0.472903 | 1.442025 |
| 0.47831 | 1.441774 |
| 0.483779 | 1.441528 |
| 0.489311 | 1.441289 |
| 0.494905 | 1.441055 |
| 0.500564 | 1.440826 |
| 0.506287 | 1.440602 |
| 0.512076 | 1.440384 |
| 0.517931 | 1.440171 |
| 0.523853 | 1.439962 |
| 0.529842 | 1.439759 |
| 0.5359 | 1.43956 |
| 0.542028 | 1.439365 |
| 0.548225 | 1.439175 |
| 0.554493 | 1.43899 |
| 0.560833 | 1.438808 |
| 0.567246 | 1.43863 |
| 0.573731 | 1.438457 |
| 0.580291 | 1.438287 |
| 0.586926 | 1.438121 |
| 0.593637 | 1.437959 |
| 0.600424 | 1.4378 |
| 0.60729 | 1.437645 |
| 0.614233 | 1.437493 |
| 0.621256 | 1.437344 |
| 0.628359 | 1.437198 |
| 0.635544 | 1.437056 |
| 0.642811 | 1.436917 |
| 0.65016 | 1.43678 |
| 0.657594 | 1.436647 |
| 0.665113 | 1.436516 |
| 0.672718 | 1.436388 |
| 0.680409 | 1.436262 |
| 0.688189 | 1.436139 |
| 0.696057 | 1.436019 |
| 0.704016 | 1.435901 |
| 0.712065 | 1.435785 |
| 0.720207 | 1.435672 |
| 0.728442 | 1.435561 |
| 0.736771 | 1.435452 |
| 0.745195 | 1.435345 |
| 0.753715 | 1.435241 |
| 0.762333 | 1.435138 |
| 0.771049 | 1.435037 |
| 0.779865 | 1.434938 |
| 0.788782 | 1.434841 |
| 0.7978 | 1.434745 |
| 0.806922 | 1.434652 |
| 0.816148 | 1.43456 |
| 0.82548 | 1.434469 |
| 0.834918 | 1.43438 |
| 0.844465 | 1.434293 |
| 0.85412 | 1.434207 |
| 0.863886 | 1.434123 |
| 0.873763 | 1.43404 |
| 0.883754 | 1.433958 |
| 0.893858 | 1.433877 |
| 0.904078 | 1.433798 |
| 0.914415 | 1.43372 |
| 0.924871 | 1.433643 |
| 0.935445 | 1.433567 |
| 0.946141 | 1.433492 |
| 0.956959 | 1.433419 |
| 0.9679 | 1.433346 |
| 0.978967 | 1.433274 |
| 0.99016 | 1.433203 |
| 1.00148 | 1.433133 |
| 1.01293 | 1.433064 |
| 1.02451 | 1.432995 |
| 1.03623 | 1.432928 |
| 1.04808 | 1.432861 |
| 1.06006 | 1.432795 |
| 1.07218 | 1.432729 |
| 1.08444 | 1.432664 |
| 1.09684 | 1.432599 |
| 1.10938 | 1.432536 |
| 1.12206 | 1.432472 |
| 1.13489 | 1.432409 |
| 1.14787 | 1.432347 |
| 1.16099 | 1.432285 |
| 1.17427 | 1.432223 |
| 1.18769 | 1.432162 |
| 1.20127 | 1.432101 |
| 1.21501 | 1.43204 |
| 1.2289 | 1.43198 |
| 1.24295 | 1.431919 |
| 1.25716 | 1.431859 |
| 1.27154 | 1.431799 |
| 1.28608 | 1.43174 |
| 1.30078 | 1.43168 |
| 1.31565 | 1.43162 |
| 1.3307 | 1.431561 |
| 1.34591 | 1.431501 |
| 1.3613 | 1.431441 |
| 1.37686 | 1.431381 |
| 1.39261 | 1.431322 |
| 1.40853 | 1.431262 |
| 1.42463 | 1.431201 |
| 1.44092 | 1.431141 |
| 1.4574 | 1.431081 |
| 1.47406 | 1.43102 |
| 1.49092 | 1.430959 |
| 1.50796 | 1.430897 |
| 1.5252 | 1.430835 |
| 1.54264 | 1.430773 |
| 1.56028 | 1.430711 |
| 1.57812 | 1.430648 |
| 1.59617 | 1.430584 |
| 1.61442 | 1.43052 |
| 1.63287 | 1.430455 |
| 1.65154 | 1.43039 |
| 1.67043 | 1.430324 |
| 1.68953 | 1.430258 |
| 1.70884 | 1.430191 |
| 1.72838 | 1.430123 |
| 1.74814 | 1.430054 |
| 1.76813 | 1.429985 |
| 1.78835 | 1.429915 |
| 1.8088 | 1.429843 |
| 1.82948 | 1.429771 |
| 1.8504 | 1.429698 |
| 1.87155 | 1.429624 |
| 1.89295 | 1.429549 |
| 1.91459 | 1.429473 |
| 1.93649 | 1.429396 |
| 1.95863 | 1.429318 |
| 1.98102 | 1.429238 |
| 2.00367 | 1.429157 |
| 2.02658 | 1.429076 |
| 2.04975 | 1.428992 |
| 2.07319 | 1.428908 |
| 2.09689 | 1.428821 |
| 2.12087 | 1.428734 |
| 2.14512 | 1.428645 |
| 2.16964 | 1.428554 |
| 2.19445 | 1.428462 |
| 2.21954 | 1.428368 |
| 2.24492 | 1.428273 |
| 2.27059 | 1.428176 |
| 2.29655 | 1.428077 |
| 2.32281 | 1.427976 |
| 2.34937 | 1.427873 |
| 2.37623 | 1.427769 |
| 2.4034 | 1.427662 |
| 2.43088 | 1.427553 |
| 2.45867 | 1.427442 |
| 2.48678 | 1.427329 |
| 2.51522 | 1.427214 |
| 2.54397 | 1.427097 |
| 2.57306 | 1.426977 |
| 2.60248 | 1.426854 |
| 2.63224 | 1.426729 |
| 2.66233 | 1.426602 |
| 2.69277 | 1.426472 |
| 2.72356 | 1.426339 |
| 2.7547 | 1.426204 |
| 2.7862 | 1.426065 |
| 2.81806 | 1.425924 |
| 2.85028 | 1.42578 |
| 2.88287 | 1.425633 |
| 2.91583 | 1.425482 |
| 2.94917 | 1.425329 |
| 2.98289 | 1.425172 |
| 3.01699 | 1.425011 |
| 3.05149 | 1.424847 |
| 3.08638 | 1.42468 |
| 3.12167 | 1.424509 |
| 3.15736 | 1.424334 |
| 3.19346 | 1.424155 |
| 3.22997 | 1.423973 |
| 3.2669 | 1.423786 |
| 3.30426 | 1.423595 |
| 3.34204 | 1.4234 |
| 3.38025 | 1.4232 |
| 3.4189 | 1.422996 |
| 3.45799 | 1.422788 |
| 3.49753 | 1.422575 |
| 3.53752 | 1.422357 |
| 3.57796 | 1.422134 |
| 3.61887 | 1.421906 |
| 3.66025 | 1.421673 |
| 3.7021 | 1.421434 |
| 3.74443 | 1.42119 |
| 3.78724 | 1.420941 |
| 3.83054 | 1.420685 |
| 3.87434 | 1.420424 |
| 3.91864 | 1.420157 |
| 3.96344 | 1.419884 |
| 4.00876 | 1.419604 |
| 4.0546 | 1.419318 |
| 4.10095 | 1.419026 |
| 4.14784 | 1.418726 |
| 4.19527 | 1.41842 |
| 4.24324 | 1.418106 |
| 4.29175 | 1.417785 |
| 4.34082 | 1.417457 |
| 4.39046 | 1.417121 |
| 4.44066 | 1.416777 |
| 4.49143 | 1.416425 |
| 4.54278 | 1.416065 |
| 4.59472 | 1.415696 |
| 4.64726 | 1.415319 |
| 4.70039 | 1.414933 |
| 4.75414 | 1.414537 |
| 4.80849 | 1.414133 |
| 4.86347 | 1.413718 |
| 4.91908 | 1.413294 |
| 4.97532 | 1.41286 |
| 5.03221 | 1.412415 |
| 5.08975 | 1.41196 |
| 5.14794 | 1.411494 |
| 5.2068 | 1.411017 |
| 5.26634 | 1.410528 |
| 5.32655 | 1.410028 |
| 5.38745 | 1.409515 |
| 5.44905 | 1.408991 |
| 5.51135 | 1.408453 |
| 5.57437 | 1.407903 |
| 5.63811 | 1.407339 |
| 5.70257 | 1.406762 |
| 5.76777 | 1.406171 |
| 5.83372 | 1.405565 |
| 5.90042 | 1.404945 |
| 5.96788 | 1.404309 |
| 6.03612 | 1.403659 |
| 6.10513 | 1.402992 |
| 6.17494 | 1.402308 |
| 6.24554 | 1.401609 |
| 6.31695 | 1.400891 |
| 6.38918 | 1.400157 |
| 6.46223 | 1.399404 |
| 6.53612 | 1.398632 |
| 6.61085 | 1.397842 |
| 6.68644 | 1.397031 |
| 6.76289 | 1.396201 |
| 6.84021 | 1.39535 |
| 6.91842 | 1.394477 |
| 6.99753 | 1.393583 |
| 7.07753 | 1.392667 |
| 7.15846 | 1.391727 |
| 7.2403 | 1.390764 |
| 7.32309 | 1.389776 |
| 7.40682 | 1.388764 |
| 7.49151 | 1.387726 |
| 7.57716 | 1.386661 |
| 7.6638 | 1.385569 |
| 7.75142 | 1.38445 |
| 7.84005 | 1.383301 |
| 7.92969 | 1.382124 |
| 8.02036 | 1.380915 |
| 8.11206 | 1.379676 |
| 8.20481 | 1.378405 |
| 8.29862 | 1.3771 |
| 8.39351 | 1.375761 |
| 8.48948 | 1.374388 |
| 8.58654 | 1.372978 |
| 8.68472 | 1.371532 |
| 8.78402 | 1.370047 |
| 8.88445 | 1.368523 |
| 8.98603 | 1.366958 |
| 9.08878 | 1.365351 |
| 9.1927 | 1.363702 |
| 9.2978 | 1.362008 |
| 9.40411 | 1.360268 |
| 9.51164 | 1.358482 |
| 9.62039 | 1.356646 |
| 9.73039 | 1.354761 |
| 9.84164 | 1.352823 |
| 9.95417 | 1.350833 |
| 10.068 | 1.348787 |
| 10.1831 | 1.346684 |
| 10.2995 | 1.344523 |
| 10.4173 | 1.3423 |
| 10.5364 | 1.340015 |
| 10.6569 | 1.337665 |
| 10.7787 | 1.335248 |
| 10.902 | 1.332762 |
| 11.0266 | 1.330204 |
| 11.1527 | 1.327571 |
| 11.2802 | 1.324862 |
| 11.4092 | 1.322073 |
| 11.5396 | 1.319202 |
| 11.6716 | 1.316245 |
| 11.805 | 1.313199 |
| 11.94 | 1.310062 |
| 12.0765 | 1.306829 |
| 12.2146 | 1.303497 |
| 12.3542 | 1.300062 |
| 12.4955 | 1.29652 |
| 12.6384 | 1.292867 |
| 12.7829 | 1.289099 |
| 12.929 | 1.28521 |
| 13.0769 | 1.281197 |
| 13.2264 | 1.277052 |
| 13.3776 | 1.272772 |
| 13.5306 | 1.268351 |
| 13.6853 | 1.263781 |
| 13.8417 | 1.259056 |
| 14 | 1.25417 |
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
- —
293 K (20 °C).