Optical constants
Refractive index of SrF2 (Strontium fluoride)
Feldman et al. 1978: n 0.21–11.5 µm
- Data
- formula 1
- Range
- 0.21–11.5 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.43806
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.06801
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 93.081
- Chromatic dispersion dn/dλ
- -0.0242683 µm⁻¹
- Group index ng
- 1.45232
- Group velocity dispersion
- 43.7954 fs²/mm
- Dispersion parameter D
- -238.927 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): Feldman et al. 1978: n 0.21–11.5 µm
srf2 = ls.fetch_refractiveindex("main", "SrF2", "Feldman", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(srf2.range_nm) # (210, 11500) 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_d774174b1451/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/feldman-1978).
# ... 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_d774174b1451/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 0.21 to 11.5 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 0.67805894 |
| C3 | 0.05628989 |
| C4 | 0.37140533 |
| C5 | 0.10801027 |
| C6 | 3.3485284 |
| C7 | 39.906666 |
Comments and conditions
References
Cite
A. Feldman, D. Horowitz, R. Waxier and M. Dodge. Optical materials characterization final technical report, February 1, 1978.; 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 |
|---|---|
| 0.21 | 1.495143 |
| 0.212117 | 1.493568 |
| 0.214256 | 1.492041 |
| 0.216417 | 1.490559 |
| 0.218599 | 1.48912 |
| 0.220803 | 1.487723 |
| 0.223029 | 1.486367 |
| 0.225278 | 1.485049 |
| 0.22755 | 1.483769 |
| 0.229844 | 1.482525 |
| 0.232161 | 1.481316 |
| 0.234502 | 1.48014 |
| 0.236867 | 1.478997 |
| 0.239255 | 1.477885 |
| 0.241668 | 1.476803 |
| 0.244104 | 1.47575 |
| 0.246566 | 1.474725 |
| 0.249052 | 1.473728 |
| 0.251563 | 1.472757 |
| 0.2541 | 1.471811 |
| 0.256662 | 1.47089 |
| 0.25925 | 1.469993 |
| 0.261864 | 1.469119 |
| 0.264504 | 1.468267 |
| 0.267171 | 1.467437 |
| 0.269865 | 1.466628 |
| 0.272586 | 1.46584 |
| 0.275335 | 1.465071 |
| 0.278111 | 1.464321 |
| 0.280915 | 1.46359 |
| 0.283747 | 1.462877 |
| 0.286608 | 1.462181 |
| 0.289498 | 1.461503 |
| 0.292417 | 1.460841 |
| 0.295366 | 1.460195 |
| 0.298344 | 1.459564 |
| 0.301352 | 1.458949 |
| 0.304391 | 1.458348 |
| 0.30746 | 1.457762 |
| 0.31056 | 1.457189 |
| 0.313692 | 1.45663 |
| 0.316855 | 1.456085 |
| 0.320049 | 1.455552 |
| 0.323276 | 1.455031 |
| 0.326536 | 1.454522 |
| 0.329829 | 1.454026 |
| 0.333154 | 1.45354 |
| 0.336513 | 1.453066 |
| 0.339907 | 1.452603 |
| 0.343334 | 1.45215 |
| 0.346796 | 1.451708 |
| 0.350292 | 1.451276 |
| 0.353825 | 1.450853 |
| 0.357392 | 1.45044 |
| 0.360996 | 1.450036 |
| 0.364636 | 1.449642 |
| 0.368312 | 1.449256 |
| 0.372026 | 1.448878 |
| 0.375777 | 1.448509 |
| 0.379566 | 1.448148 |
| 0.383393 | 1.447796 |
| 0.387259 | 1.447451 |
| 0.391164 | 1.447113 |
| 0.395108 | 1.446783 |
| 0.399092 | 1.44646 |
| 0.403116 | 1.446144 |
| 0.407181 | 1.445835 |
| 0.411286 | 1.445533 |
| 0.415433 | 1.445237 |
| 0.419622 | 1.444947 |
| 0.423853 | 1.444664 |
| 0.428127 | 1.444387 |
| 0.432444 | 1.444115 |
| 0.436804 | 1.44385 |
| 0.441209 | 1.44359 |
| 0.445657 | 1.443335 |
| 0.450151 | 1.443086 |
| 0.45469 | 1.442843 |
| 0.459274 | 1.442604 |
| 0.463905 | 1.44237 |
| 0.468583 | 1.442141 |
| 0.473308 | 1.441917 |
| 0.47808 | 1.441698 |
| 0.482901 | 1.441483 |
| 0.48777 | 1.441273 |
| 0.492688 | 1.441067 |
| 0.497656 | 1.440865 |
| 0.502674 | 1.440667 |
| 0.507742 | 1.440473 |
| 0.512862 | 1.440284 |
| 0.518033 | 1.440098 |
| 0.523256 | 1.439916 |
| 0.528532 | 1.439737 |
| 0.533861 | 1.439562 |
| 0.539244 | 1.439391 |
| 0.544682 | 1.439223 |
| 0.550174 | 1.439058 |
| 0.555721 | 1.438897 |
| 0.561325 | 1.438739 |
| 0.566984 | 1.438584 |
| 0.572701 | 1.438432 |
| 0.578476 | 1.438283 |
| 0.584309 | 1.438137 |
| 0.5902 | 1.437994 |
| 0.596151 | 1.437853 |
| 0.602162 | 1.437716 |
| 0.608234 | 1.43758 |
| 0.614367 | 1.437448 |
| 0.620562 | 1.437318 |
| 0.626819 | 1.43719 |
| 0.633139 | 1.437065 |
| 0.639523 | 1.436942 |
| 0.645971 | 1.436822 |
| 0.652485 | 1.436704 |
| 0.659064 | 1.436588 |
| 0.665709 | 1.436474 |
| 0.672422 | 1.436362 |
| 0.679202 | 1.436252 |
| 0.68605 | 1.436144 |
| 0.692968 | 1.436038 |
| 0.699955 | 1.435934 |
| 0.707012 | 1.435832 |
| 0.714141 | 1.435732 |
| 0.721342 | 1.435633 |
| 0.728615 | 1.435536 |
| 0.735962 | 1.435441 |
| 0.743383 | 1.435347 |
| 0.750878 | 1.435255 |
| 0.75845 | 1.435165 |
| 0.766097 | 1.435076 |
| 0.773822 | 1.434988 |
| 0.781624 | 1.434902 |
| 0.789505 | 1.434818 |
| 0.797466 | 1.434734 |
| 0.805507 | 1.434652 |
| 0.813629 | 1.434572 |
| 0.821833 | 1.434492 |
| 0.830119 | 1.434414 |
| 0.838489 | 1.434337 |
| 0.846944 | 1.434261 |
| 0.855484 | 1.434186 |
| 0.86411 | 1.434112 |
| 0.872823 | 1.43404 |
| 0.881623 | 1.433968 |
| 0.890513 | 1.433897 |
| 0.899492 | 1.433828 |
| 0.908561 | 1.433759 |
| 0.917723 | 1.433691 |
| 0.926976 | 1.433624 |
| 0.936323 | 1.433558 |
| 0.945764 | 1.433493 |
| 0.9553 | 1.433428 |
| 0.964932 | 1.433364 |
| 0.974662 | 1.433301 |
| 0.984489 | 1.433239 |
| 0.994416 | 1.433177 |
| 1.00444 | 1.433116 |
| 1.01457 | 1.433056 |
| 1.0248 | 1.432996 |
| 1.03513 | 1.432937 |
| 1.04557 | 1.432879 |
| 1.05611 | 1.432821 |
| 1.06676 | 1.432763 |
| 1.07752 | 1.432706 |
| 1.08838 | 1.432649 |
| 1.09936 | 1.432593 |
| 1.11044 | 1.432538 |
| 1.12164 | 1.432482 |
| 1.13295 | 1.432427 |
| 1.14437 | 1.432373 |
| 1.15591 | 1.432318 |
| 1.16757 | 1.432264 |
| 1.17934 | 1.432211 |
| 1.19123 | 1.432157 |
| 1.20324 | 1.432104 |
| 1.21537 | 1.432051 |
| 1.22763 | 1.431998 |
| 1.24001 | 1.431945 |
| 1.25251 | 1.431893 |
| 1.26514 | 1.431841 |
| 1.2779 | 1.431788 |
| 1.29078 | 1.431736 |
| 1.3038 | 1.431684 |
| 1.31694 | 1.431632 |
| 1.33022 | 1.43158 |
| 1.34363 | 1.431528 |
| 1.35718 | 1.431476 |
| 1.37087 | 1.431424 |
| 1.38469 | 1.431371 |
| 1.39865 | 1.431319 |
| 1.41275 | 1.431267 |
| 1.427 | 1.431214 |
| 1.44139 | 1.431161 |
| 1.45592 | 1.431109 |
| 1.4706 | 1.431056 |
| 1.48543 | 1.431002 |
| 1.50041 | 1.430949 |
| 1.51553 | 1.430895 |
| 1.53082 | 1.430841 |
| 1.54625 | 1.430787 |
| 1.56184 | 1.430732 |
| 1.57759 | 1.430677 |
| 1.5935 | 1.430622 |
| 1.60956 | 1.430566 |
| 1.62579 | 1.43051 |
| 1.64219 | 1.430453 |
| 1.65875 | 1.430396 |
| 1.67547 | 1.430338 |
| 1.69236 | 1.43028 |
| 1.70943 | 1.430221 |
| 1.72666 | 1.430162 |
| 1.74407 | 1.430103 |
| 1.76166 | 1.430042 |
| 1.77942 | 1.429981 |
| 1.79737 | 1.429919 |
| 1.81549 | 1.429857 |
| 1.83379 | 1.429794 |
| 1.85228 | 1.42973 |
| 1.87096 | 1.429666 |
| 1.88983 | 1.4296 |
| 1.90888 | 1.429534 |
| 1.92813 | 1.429467 |
| 1.94757 | 1.429399 |
| 1.96721 | 1.429331 |
| 1.98704 | 1.429261 |
| 2.00708 | 1.42919 |
| 2.02732 | 1.429119 |
| 2.04776 | 1.429046 |
| 2.06841 | 1.428973 |
| 2.08926 | 1.428898 |
| 2.11033 | 1.428822 |
| 2.13161 | 1.428745 |
| 2.1531 | 1.428667 |
| 2.17481 | 1.428588 |
| 2.19674 | 1.428507 |
| 2.21889 | 1.428425 |
| 2.24126 | 1.428342 |
| 2.26386 | 1.428258 |
| 2.28669 | 1.428172 |
| 2.30974 | 1.428085 |
| 2.33303 | 1.427996 |
| 2.35656 | 1.427906 |
| 2.38032 | 1.427814 |
| 2.40432 | 1.427721 |
| 2.42856 | 1.427627 |
| 2.45305 | 1.42753 |
| 2.47778 | 1.427432 |
| 2.50277 | 1.427332 |
| 2.528 | 1.427231 |
| 2.55349 | 1.427128 |
| 2.57924 | 1.427023 |
| 2.60525 | 1.426916 |
| 2.63151 | 1.426807 |
| 2.65805 | 1.426696 |
| 2.68485 | 1.426583 |
| 2.71192 | 1.426468 |
| 2.73927 | 1.426351 |
| 2.76689 | 1.426232 |
| 2.79478 | 1.42611 |
| 2.82296 | 1.425987 |
| 2.85143 | 1.425861 |
| 2.88018 | 1.425732 |
| 2.90922 | 1.425602 |
| 2.93855 | 1.425468 |
| 2.96818 | 1.425333 |
| 2.99811 | 1.425194 |
| 3.02834 | 1.425053 |
| 3.05888 | 1.42491 |
| 3.08972 | 1.424763 |
| 3.12087 | 1.424614 |
| 3.15234 | 1.424462 |
| 3.18413 | 1.424307 |
| 3.21623 | 1.424149 |
| 3.24866 | 1.423987 |
| 3.28142 | 1.423823 |
| 3.31451 | 1.423655 |
| 3.34793 | 1.423485 |
| 3.38168 | 1.42331 |
| 3.41578 | 1.423133 |
| 3.45022 | 1.422951 |
| 3.48501 | 1.422767 |
| 3.52015 | 1.422578 |
| 3.55565 | 1.422386 |
| 3.5915 | 1.42219 |
| 3.62771 | 1.42199 |
| 3.66429 | 1.421786 |
| 3.70124 | 1.421578 |
| 3.73856 | 1.421366 |
| 3.77625 | 1.421149 |
| 3.81433 | 1.420928 |
| 3.85279 | 1.420703 |
| 3.89164 | 1.420473 |
| 3.93088 | 1.420238 |
| 3.97051 | 1.419999 |
| 4.01055 | 1.419754 |
| 4.05098 | 1.419505 |
| 4.09183 | 1.419251 |
| 4.13309 | 1.418991 |
| 4.17476 | 1.418726 |
| 4.21686 | 1.418456 |
| 4.25938 | 1.41818 |
| 4.30232 | 1.417899 |
| 4.3457 | 1.417612 |
| 4.38952 | 1.417318 |
| 4.43378 | 1.417019 |
| 4.47849 | 1.416714 |
| 4.52365 | 1.416402 |
| 4.56926 | 1.416084 |
| 4.61533 | 1.415759 |
| 4.66187 | 1.415427 |
| 4.70887 | 1.415089 |
| 4.75635 | 1.414743 |
| 4.80431 | 1.41439 |
| 4.85275 | 1.41403 |
| 4.90168 | 1.413662 |
| 4.95111 | 1.413287 |
| 5.00103 | 1.412904 |
| 5.05146 | 1.412512 |
| 5.10239 | 1.412113 |
| 5.15384 | 1.411705 |
| 5.2058 | 1.411288 |
| 5.25829 | 1.410863 |
| 5.31131 | 1.410429 |
| 5.36487 | 1.409985 |
| 5.41896 | 1.409532 |
| 5.4736 | 1.40907 |
| 5.52879 | 1.408597 |
| 5.58454 | 1.408115 |
| 5.64085 | 1.407622 |
| 5.69773 | 1.407119 |
| 5.75518 | 1.406605 |
| 5.81321 | 1.40608 |
| 5.87182 | 1.405544 |
| 5.93103 | 1.404996 |
| 5.99083 | 1.404436 |
| 6.05124 | 1.403865 |
| 6.11225 | 1.403281 |
| 6.17388 | 1.402684 |
| 6.23613 | 1.402075 |
| 6.29901 | 1.401452 |
| 6.36253 | 1.400816 |
| 6.42668 | 1.400166 |
| 6.49148 | 1.399502 |
| 6.55693 | 1.398824 |
| 6.62305 | 1.39813 |
| 6.68983 | 1.397422 |
| 6.75728 | 1.396698 |
| 6.82542 | 1.395958 |
| 6.89424 | 1.395201 |
| 6.96375 | 1.394428 |
| 7.03397 | 1.393639 |
| 7.10489 | 1.392831 |
| 7.17653 | 1.392006 |
| 7.24889 | 1.391162 |
| 7.32198 | 1.3903 |
| 7.39581 | 1.389418 |
| 7.47039 | 1.388517 |
| 7.54571 | 1.387595 |
| 7.62179 | 1.386653 |
| 7.69864 | 1.385689 |
| 7.77627 | 1.384704 |
| 7.85468 | 1.383697 |
| 7.93388 | 1.382667 |
| 8.01388 | 1.381613 |
| 8.09468 | 1.380536 |
| 8.1763 | 1.379434 |
| 8.25874 | 1.378306 |
| 8.34202 | 1.377153 |
| 8.42613 | 1.375974 |
| 8.51109 | 1.374767 |
| 8.59691 | 1.373532 |
| 8.68359 | 1.372269 |
| 8.77115 | 1.370976 |
| 8.85959 | 1.369653 |
| 8.94892 | 1.3683 |
| 9.03915 | 1.366914 |
| 9.13029 | 1.365496 |
| 9.22236 | 1.364045 |
| 9.31535 | 1.362559 |
| 9.40927 | 1.361038 |
| 9.50415 | 1.359481 |
| 9.59998 | 1.357886 |
| 9.69678 | 1.356253 |
| 9.79455 | 1.354581 |
| 9.89331 | 1.352869 |
| 9.99306 | 1.351115 |
| 10.0938 | 1.349318 |
| 10.1956 | 1.347477 |
| 10.2984 | 1.345591 |
| 10.4022 | 1.343659 |
| 10.5071 | 1.341679 |
| 10.6131 | 1.33965 |
| 10.7201 | 1.33757 |
| 10.8282 | 1.335438 |
| 10.9374 | 1.333252 |
| 11.0476 | 1.331011 |
| 11.159 | 1.328713 |
| 11.2716 | 1.326357 |
| 11.3852 | 1.32394 |
| 11.5 | 1.32146 |
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
- —
20 °C