Optical constants
Refractive index of SiC (Silicon carbide)
Wang et al. 2013: 6H-SiC; n(o) 0.436–2.33 µm
- Data
- formula 4
- Range
- 0.4358–2.325 µm
- Optical axis
- o
- State
- crystalline
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.64798
- Extinction coefficient k
- 0
- Permittivity ε1
- 7.01179
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 25.957
- Chromatic dispersion dn/dλ
- -0.321113 µm⁻¹
- Group index ng
- 2.83666
- Group velocity dispersion
- 641.762 fs²/mm
- Dispersion parameter D
- -3501.15 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
# SiC (Silicon carbide): Wang et al. 2013: 6H-SiC; n(o) 0.436–2.33 µm
sic = ls.fetch_refractiveindex("main", "SiC", "Wang-6H-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sic.range_nm) # (435.8, 2325) nm
eps = sic.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_37d2d2ad0c34/lightsmith"
sic = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(sic.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (sic/wang-2013-6h-o).
# ... load sic as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=sic)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=436, 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 0.4358 to 2.325 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 6.57232 |
| C2 | 0.1401 |
| C3 | 0.0 |
| C4 | 0.03178 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.02153 |
| C11 | 2.0 |
Comments and conditions
Conditions
- direction
- o
References
- doi:10.1002/lpor.201300068 4H‐SiC: a new nonlinear material for midinfrared lasers, Laser & Photonics Reviews (2013)
Cite
Shunchong Wang et al.. 4H‐SiC: a new nonlinear material for midinfrared lasers. Laser & Photonics Reviews, 7, 831-838 (2013), doi:10.1002/lpor.201300068; 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 |
|---|---|
| 0.4358 | 2.730228 |
| 0.437633 | 2.728596 |
| 0.439473 | 2.726981 |
| 0.441321 | 2.725384 |
| 0.443177 | 2.723805 |
| 0.44504 | 2.722243 |
| 0.446912 | 2.720698 |
| 0.448791 | 2.71917 |
| 0.450678 | 2.717658 |
| 0.452573 | 2.716162 |
| 0.454476 | 2.714683 |
| 0.456387 | 2.71322 |
| 0.458306 | 2.711772 |
| 0.460234 | 2.71034 |
| 0.462169 | 2.708923 |
| 0.464112 | 2.707521 |
| 0.466064 | 2.706134 |
| 0.468024 | 2.704762 |
| 0.469992 | 2.703404 |
| 0.471968 | 2.702061 |
| 0.473953 | 2.700731 |
| 0.475946 | 2.699416 |
| 0.477947 | 2.698115 |
| 0.479957 | 2.696827 |
| 0.481975 | 2.695552 |
| 0.484002 | 2.694291 |
| 0.486037 | 2.693043 |
| 0.488081 | 2.691808 |
| 0.490133 | 2.690585 |
| 0.492194 | 2.689375 |
| 0.494264 | 2.688178 |
| 0.496343 | 2.686993 |
| 0.49843 | 2.68582 |
| 0.500526 | 2.684659 |
| 0.50263 | 2.68351 |
| 0.504744 | 2.682373 |
| 0.506866 | 2.681247 |
| 0.508998 | 2.680133 |
| 0.511138 | 2.67903 |
| 0.513287 | 2.677938 |
| 0.515446 | 2.676857 |
| 0.517613 | 2.675787 |
| 0.51979 | 2.674727 |
| 0.521976 | 2.673679 |
| 0.524171 | 2.672641 |
| 0.526375 | 2.671613 |
| 0.528588 | 2.670595 |
| 0.530811 | 2.669588 |
| 0.533043 | 2.66859 |
| 0.535284 | 2.667603 |
| 0.537535 | 2.666625 |
| 0.539796 | 2.665656 |
| 0.542066 | 2.664698 |
| 0.544345 | 2.663749 |
| 0.546634 | 2.662809 |
| 0.548933 | 2.661878 |
| 0.551241 | 2.660956 |
| 0.553559 | 2.660043 |
| 0.555887 | 2.65914 |
| 0.558224 | 2.658245 |
| 0.560571 | 2.657358 |
| 0.562929 | 2.656481 |
| 0.565296 | 2.655611 |
| 0.567673 | 2.65475 |
| 0.57006 | 2.653898 |
| 0.572457 | 2.653053 |
| 0.574864 | 2.652217 |
| 0.577282 | 2.651389 |
| 0.579709 | 2.650568 |
| 0.582147 | 2.649756 |
| 0.584595 | 2.648951 |
| 0.587053 | 2.648153 |
| 0.589522 | 2.647364 |
| 0.592001 | 2.646582 |
| 0.59449 | 2.645807 |
| 0.59699 | 2.645039 |
| 0.5995 | 2.644279 |
| 0.602021 | 2.643526 |
| 0.604553 | 2.64278 |
| 0.607095 | 2.642041 |
| 0.609648 | 2.641308 |
| 0.612211 | 2.640583 |
| 0.614786 | 2.639864 |
| 0.617371 | 2.639152 |
| 0.619967 | 2.638447 |
| 0.622574 | 2.637748 |
| 0.625192 | 2.637056 |
| 0.627821 | 2.63637 |
| 0.630461 | 2.63569 |
| 0.633112 | 2.635017 |
| 0.635774 | 2.634349 |
| 0.638448 | 2.633688 |
| 0.641132 | 2.633033 |
| 0.643828 | 2.632384 |
| 0.646536 | 2.631741 |
| 0.649254 | 2.631103 |
| 0.651984 | 2.630472 |
| 0.654726 | 2.629846 |
| 0.657479 | 2.629226 |
| 0.660244 | 2.628611 |
| 0.66302 | 2.628002 |
| 0.665808 | 2.627398 |
| 0.668608 | 2.6268 |
| 0.671419 | 2.626207 |
| 0.674243 | 2.625619 |
| 0.677078 | 2.625037 |
| 0.679925 | 2.62446 |
| 0.682784 | 2.623888 |
| 0.685655 | 2.623321 |
| 0.688539 | 2.622759 |
| 0.691434 | 2.622201 |
| 0.694341 | 2.621649 |
| 0.697261 | 2.621102 |
| 0.700193 | 2.62056 |
| 0.703138 | 2.620022 |
| 0.706094 | 2.619489 |
| 0.709063 | 2.61896 |
| 0.712045 | 2.618437 |
| 0.715039 | 2.617917 |
| 0.718046 | 2.617402 |
| 0.721065 | 2.616892 |
| 0.724098 | 2.616386 |
| 0.727142 | 2.615885 |
| 0.7302 | 2.615387 |
| 0.733271 | 2.614894 |
| 0.736354 | 2.614406 |
| 0.73945 | 2.613921 |
| 0.74256 | 2.61344 |
| 0.745682 | 2.612964 |
| 0.748818 | 2.612492 |
| 0.751967 | 2.612023 |
| 0.755129 | 2.611559 |
| 0.758304 | 2.611098 |
| 0.761493 | 2.610642 |
| 0.764695 | 2.610189 |
| 0.76791 | 2.60974 |
| 0.77114 | 2.609294 |
| 0.774382 | 2.608853 |
| 0.777639 | 2.608415 |
| 0.780909 | 2.60798 |
| 0.784192 | 2.60755 |
| 0.78749 | 2.607123 |
| 0.790801 | 2.606699 |
| 0.794127 | 2.606279 |
| 0.797466 | 2.605862 |
| 0.800819 | 2.605448 |
| 0.804187 | 2.605038 |
| 0.807568 | 2.604632 |
| 0.810964 | 2.604228 |
| 0.814374 | 2.603828 |
| 0.817799 | 2.603431 |
| 0.821238 | 2.603037 |
| 0.824691 | 2.602647 |
| 0.828159 | 2.602259 |
| 0.831641 | 2.601875 |
| 0.835138 | 2.601493 |
| 0.83865 | 2.601115 |
| 0.842177 | 2.600739 |
| 0.845718 | 2.600367 |
| 0.849274 | 2.599997 |
| 0.852846 | 2.599631 |
| 0.856432 | 2.599267 |
| 0.860033 | 2.598906 |
| 0.86365 | 2.598547 |
| 0.867281 | 2.598192 |
| 0.870928 | 2.597839 |
| 0.874591 | 2.597489 |
| 0.878268 | 2.597142 |
| 0.881962 | 2.596797 |
| 0.88567 | 2.596455 |
| 0.889394 | 2.596115 |
| 0.893134 | 2.595778 |
| 0.89689 | 2.595444 |
| 0.900662 | 2.595112 |
| 0.904449 | 2.594782 |
| 0.908252 | 2.594455 |
| 0.912071 | 2.594131 |
| 0.915907 | 2.593808 |
| 0.919758 | 2.593489 |
| 0.923626 | 2.593171 |
| 0.92751 | 2.592856 |
| 0.93141 | 2.592543 |
| 0.935326 | 2.592232 |
| 0.939259 | 2.591923 |
| 0.943209 | 2.591617 |
| 0.947175 | 2.591313 |
| 0.951158 | 2.591011 |
| 0.955158 | 2.590711 |
| 0.959174 | 2.590413 |
| 0.963208 | 2.590117 |
| 0.967258 | 2.589824 |
| 0.971325 | 2.589532 |
| 0.97541 | 2.589243 |
| 0.979511 | 2.588955 |
| 0.98363 | 2.588669 |
| 0.987767 | 2.588386 |
| 0.99192 | 2.588104 |
| 0.996091 | 2.587824 |
| 1.00028 | 2.587546 |
| 1.00449 | 2.587269 |
| 1.00871 | 2.586995 |
| 1.01295 | 2.586722 |
| 1.01721 | 2.586452 |
| 1.02149 | 2.586183 |
| 1.02578 | 2.585915 |
| 1.0301 | 2.58565 |
| 1.03443 | 2.585386 |
| 1.03878 | 2.585123 |
| 1.04315 | 2.584863 |
| 1.04753 | 2.584604 |
| 1.05194 | 2.584346 |
| 1.05636 | 2.584091 |
| 1.0608 | 2.583836 |
| 1.06526 | 2.583584 |
| 1.06974 | 2.583332 |
| 1.07424 | 2.583083 |
| 1.07876 | 2.582835 |
| 1.0833 | 2.582588 |
| 1.08785 | 2.582343 |
| 1.09243 | 2.582099 |
| 1.09702 | 2.581856 |
| 1.10163 | 2.581615 |
| 1.10626 | 2.581376 |
| 1.11092 | 2.581137 |
| 1.11559 | 2.5809 |
| 1.12028 | 2.580665 |
| 1.12499 | 2.58043 |
| 1.12972 | 2.580197 |
| 1.13447 | 2.579966 |
| 1.13924 | 2.579735 |
| 1.14403 | 2.579506 |
| 1.14884 | 2.579277 |
| 1.15367 | 2.57905 |
| 1.15852 | 2.578825 |
| 1.1634 | 2.5786 |
| 1.16829 | 2.578377 |
| 1.1732 | 2.578154 |
| 1.17813 | 2.577933 |
| 1.18309 | 2.577713 |
| 1.18806 | 2.577494 |
| 1.19306 | 2.577276 |
| 1.19808 | 2.577058 |
| 1.20311 | 2.576842 |
| 1.20817 | 2.576627 |
| 1.21325 | 2.576413 |
| 1.21836 | 2.5762 |
| 1.22348 | 2.575988 |
| 1.22862 | 2.575777 |
| 1.23379 | 2.575567 |
| 1.23898 | 2.575357 |
| 1.24419 | 2.575149 |
| 1.24942 | 2.574941 |
| 1.25467 | 2.574735 |
| 1.25995 | 2.574529 |
| 1.26525 | 2.574324 |
| 1.27057 | 2.574119 |
| 1.27591 | 2.573916 |
| 1.28128 | 2.573713 |
| 1.28666 | 2.573511 |
| 1.29207 | 2.57331 |
| 1.29751 | 2.57311 |
| 1.30296 | 2.57291 |
| 1.30844 | 2.572711 |
| 1.31395 | 2.572512 |
| 1.31947 | 2.572315 |
| 1.32502 | 2.572118 |
| 1.33059 | 2.571921 |
| 1.33619 | 2.571726 |
| 1.3418 | 2.571531 |
| 1.34745 | 2.571336 |
| 1.35311 | 2.571142 |
| 1.3588 | 2.570949 |
| 1.36452 | 2.570756 |
| 1.37025 | 2.570564 |
| 1.37602 | 2.570372 |
| 1.3818 | 2.57018 |
| 1.38761 | 2.56999 |
| 1.39345 | 2.569799 |
| 1.39931 | 2.56961 |
| 1.40519 | 2.56942 |
| 1.4111 | 2.569231 |
| 1.41703 | 2.569043 |
| 1.42299 | 2.568855 |
| 1.42898 | 2.568667 |
| 1.43499 | 2.56848 |
| 1.44102 | 2.568293 |
| 1.44708 | 2.568106 |
| 1.45316 | 2.56792 |
| 1.45927 | 2.567734 |
| 1.46541 | 2.567549 |
| 1.47157 | 2.567363 |
| 1.47776 | 2.567179 |
| 1.48398 | 2.566994 |
| 1.49022 | 2.566809 |
| 1.49648 | 2.566625 |
| 1.50277 | 2.566441 |
| 1.50909 | 2.566257 |
| 1.51544 | 2.566074 |
| 1.52181 | 2.565891 |
| 1.52821 | 2.565707 |
| 1.53464 | 2.565524 |
| 1.54109 | 2.565342 |
| 1.54757 | 2.565159 |
| 1.55408 | 2.564976 |
| 1.56061 | 2.564794 |
| 1.56718 | 2.564612 |
| 1.57377 | 2.564429 |
| 1.58038 | 2.564247 |
| 1.58703 | 2.564065 |
| 1.5937 | 2.563883 |
| 1.6004 | 2.563701 |
| 1.60713 | 2.563519 |
| 1.61389 | 2.563337 |
| 1.62068 | 2.563155 |
| 1.62749 | 2.562973 |
| 1.63434 | 2.56279 |
| 1.64121 | 2.562608 |
| 1.64811 | 2.562426 |
| 1.65504 | 2.562244 |
| 1.662 | 2.562061 |
| 1.66899 | 2.561879 |
| 1.67601 | 2.561696 |
| 1.68306 | 2.561514 |
| 1.69013 | 2.561331 |
| 1.69724 | 2.561148 |
| 1.70438 | 2.560965 |
| 1.71154 | 2.560781 |
| 1.71874 | 2.560598 |
| 1.72597 | 2.560414 |
| 1.73323 | 2.56023 |
| 1.74051 | 2.560046 |
| 1.74783 | 2.559861 |
| 1.75518 | 2.559677 |
| 1.76256 | 2.559492 |
| 1.76998 | 2.559306 |
| 1.77742 | 2.559121 |
| 1.78489 | 2.558935 |
| 1.7924 | 2.558749 |
| 1.79994 | 2.558562 |
| 1.8075 | 2.558375 |
| 1.8151 | 2.558188 |
| 1.82274 | 2.558 |
| 1.8304 | 2.557812 |
| 1.8381 | 2.557624 |
| 1.84583 | 2.557435 |
| 1.85359 | 2.557246 |
| 1.86138 | 2.557056 |
| 1.86921 | 2.556865 |
| 1.87707 | 2.556675 |
| 1.88496 | 2.556484 |
| 1.89289 | 2.556292 |
| 1.90085 | 2.5561 |
| 1.90884 | 2.555907 |
| 1.91687 | 2.555714 |
| 1.92493 | 2.55552 |
| 1.93303 | 2.555325 |
| 1.94115 | 2.55513 |
| 1.94932 | 2.554935 |
| 1.95751 | 2.554738 |
| 1.96574 | 2.554541 |
| 1.97401 | 2.554344 |
| 1.98231 | 2.554146 |
| 1.99065 | 2.553947 |
| 1.99902 | 2.553747 |
| 2.00742 | 2.553547 |
| 2.01587 | 2.553346 |
| 2.02434 | 2.553144 |
| 2.03285 | 2.552942 |
| 2.0414 | 2.552739 |
| 2.04999 | 2.552535 |
| 2.05861 | 2.55233 |
| 2.06726 | 2.552124 |
| 2.07596 | 2.551918 |
| 2.08469 | 2.551711 |
| 2.09345 | 2.551503 |
| 2.10226 | 2.551294 |
| 2.1111 | 2.551084 |
| 2.11997 | 2.550873 |
| 2.12889 | 2.550661 |
| 2.13784 | 2.550449 |
| 2.14683 | 2.550235 |
| 2.15586 | 2.550021 |
| 2.16492 | 2.549805 |
| 2.17403 | 2.549589 |
| 2.18317 | 2.549371 |
| 2.19235 | 2.549153 |
| 2.20157 | 2.548934 |
| 2.21082 | 2.548713 |
| 2.22012 | 2.548491 |
| 2.22946 | 2.548269 |
| 2.23883 | 2.548045 |
| 2.24825 | 2.54782 |
| 2.2577 | 2.547594 |
| 2.26719 | 2.547367 |
| 2.27673 | 2.547138 |
| 2.2863 | 2.546909 |
| 2.29591 | 2.546678 |
| 2.30557 | 2.546446 |
| 2.31526 | 2.546213 |
| 2.325 | 2.545979 |
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
- —
6H-SiC (hexagonal crystal structure); Ordinary ray (o)