Optical constants
Refractive index of SiC (Silicon carbide)
Wang et al. 2013: 6H-SiC; n(e) 0.436–2.33 µm
- Data
- formula 4
- Range
- 0.4358–2.325 µm
- Optical axis
- e
- 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
- 2.68957
- Extinction coefficient k
- 0
- Permittivity ε1
- 7.23378
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 23.943
- Chromatic dispersion dn/dλ
- -0.355499 µm⁻¹
- Group index ng
- 2.89846
- Group velocity dispersion
- 722.896 fs²/mm
- Dispersion parameter D
- -3943.78 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(e) 0.436–2.33 µm
sic = ls.fetch_refractiveindex("main", "SiC", "Wang-6H-e", 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_371b0d488c3a/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-e).
# ... 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 | 6.7452 |
| C2 | 0.15352 |
| C3 | 0.0 |
| C4 | 0.03597 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.02249 |
| C11 | 2.0 |
Comments and conditions
Conditions
- direction
- e
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 | 2.781749 |
| 0.437633 | 2.779897 |
| 0.439473 | 2.778067 |
| 0.441321 | 2.776258 |
| 0.443177 | 2.774469 |
| 0.44504 | 2.772701 |
| 0.446912 | 2.770953 |
| 0.448791 | 2.769224 |
| 0.450678 | 2.767515 |
| 0.452573 | 2.765825 |
| 0.454476 | 2.764155 |
| 0.456387 | 2.762502 |
| 0.458306 | 2.760869 |
| 0.460234 | 2.759253 |
| 0.462169 | 2.757656 |
| 0.464112 | 2.756076 |
| 0.466064 | 2.754513 |
| 0.468024 | 2.752968 |
| 0.469992 | 2.751439 |
| 0.471968 | 2.749928 |
| 0.473953 | 2.748433 |
| 0.475946 | 2.746954 |
| 0.477947 | 2.745491 |
| 0.479957 | 2.744044 |
| 0.481975 | 2.742613 |
| 0.484002 | 2.741197 |
| 0.486037 | 2.739796 |
| 0.488081 | 2.73841 |
| 0.490133 | 2.73704 |
| 0.492194 | 2.735683 |
| 0.494264 | 2.734342 |
| 0.496343 | 2.733014 |
| 0.49843 | 2.731701 |
| 0.500526 | 2.730401 |
| 0.50263 | 2.729115 |
| 0.504744 | 2.727843 |
| 0.506866 | 2.726584 |
| 0.508998 | 2.725338 |
| 0.511138 | 2.724105 |
| 0.513287 | 2.722886 |
| 0.515446 | 2.721678 |
| 0.517613 | 2.720484 |
| 0.51979 | 2.719301 |
| 0.521976 | 2.718131 |
| 0.524171 | 2.716973 |
| 0.526375 | 2.715827 |
| 0.528588 | 2.714693 |
| 0.530811 | 2.71357 |
| 0.533043 | 2.712458 |
| 0.535284 | 2.711359 |
| 0.537535 | 2.71027 |
| 0.539796 | 2.709192 |
| 0.542066 | 2.708125 |
| 0.544345 | 2.707069 |
| 0.546634 | 2.706024 |
| 0.548933 | 2.704989 |
| 0.551241 | 2.703964 |
| 0.553559 | 2.70295 |
| 0.555887 | 2.701946 |
| 0.558224 | 2.700952 |
| 0.560571 | 2.699968 |
| 0.562929 | 2.698993 |
| 0.565296 | 2.698029 |
| 0.567673 | 2.697074 |
| 0.57006 | 2.696128 |
| 0.572457 | 2.695191 |
| 0.574864 | 2.694264 |
| 0.577282 | 2.693346 |
| 0.579709 | 2.692437 |
| 0.582147 | 2.691537 |
| 0.584595 | 2.690645 |
| 0.587053 | 2.689763 |
| 0.589522 | 2.688888 |
| 0.592001 | 2.688023 |
| 0.59449 | 2.687165 |
| 0.59699 | 2.686316 |
| 0.5995 | 2.685476 |
| 0.602021 | 2.684643 |
| 0.604553 | 2.683818 |
| 0.607095 | 2.683001 |
| 0.609648 | 2.682192 |
| 0.612211 | 2.681391 |
| 0.614786 | 2.680597 |
| 0.617371 | 2.679811 |
| 0.619967 | 2.679032 |
| 0.622574 | 2.678261 |
| 0.625192 | 2.677497 |
| 0.627821 | 2.67674 |
| 0.630461 | 2.67599 |
| 0.633112 | 2.675247 |
| 0.635774 | 2.674512 |
| 0.638448 | 2.673783 |
| 0.641132 | 2.673061 |
| 0.643828 | 2.672346 |
| 0.646536 | 2.671637 |
| 0.649254 | 2.670935 |
| 0.651984 | 2.670239 |
| 0.654726 | 2.66955 |
| 0.657479 | 2.668867 |
| 0.660244 | 2.668191 |
| 0.66302 | 2.667521 |
| 0.665808 | 2.666856 |
| 0.668608 | 2.666198 |
| 0.671419 | 2.665546 |
| 0.674243 | 2.6649 |
| 0.677078 | 2.66426 |
| 0.679925 | 2.663626 |
| 0.682784 | 2.662997 |
| 0.685655 | 2.662374 |
| 0.688539 | 2.661757 |
| 0.691434 | 2.661145 |
| 0.694341 | 2.660538 |
| 0.697261 | 2.659938 |
| 0.700193 | 2.659342 |
| 0.703138 | 2.658752 |
| 0.706094 | 2.658167 |
| 0.709063 | 2.657587 |
| 0.712045 | 2.657013 |
| 0.715039 | 2.656443 |
| 0.718046 | 2.655879 |
| 0.721065 | 2.655319 |
| 0.724098 | 2.654765 |
| 0.727142 | 2.654215 |
| 0.7302 | 2.65367 |
| 0.733271 | 2.65313 |
| 0.736354 | 2.652594 |
| 0.73945 | 2.652064 |
| 0.74256 | 2.651537 |
| 0.745682 | 2.651016 |
| 0.748818 | 2.650499 |
| 0.751967 | 2.649986 |
| 0.755129 | 2.649478 |
| 0.758304 | 2.648974 |
| 0.761493 | 2.648474 |
| 0.764695 | 2.647979 |
| 0.76791 | 2.647488 |
| 0.77114 | 2.647001 |
| 0.774382 | 2.646518 |
| 0.777639 | 2.646039 |
| 0.780909 | 2.645565 |
| 0.784192 | 2.645094 |
| 0.78749 | 2.644627 |
| 0.790801 | 2.644164 |
| 0.794127 | 2.643705 |
| 0.797466 | 2.64325 |
| 0.800819 | 2.642799 |
| 0.804187 | 2.642351 |
| 0.807568 | 2.641907 |
| 0.810964 | 2.641467 |
| 0.814374 | 2.64103 |
| 0.817799 | 2.640597 |
| 0.821238 | 2.640168 |
| 0.824691 | 2.639742 |
| 0.828159 | 2.639319 |
| 0.831641 | 2.6389 |
| 0.835138 | 2.638484 |
| 0.83865 | 2.638072 |
| 0.842177 | 2.637662 |
| 0.845718 | 2.637256 |
| 0.849274 | 2.636854 |
| 0.852846 | 2.636454 |
| 0.856432 | 2.636058 |
| 0.860033 | 2.635665 |
| 0.86365 | 2.635275 |
| 0.867281 | 2.634888 |
| 0.870928 | 2.634504 |
| 0.874591 | 2.634123 |
| 0.878268 | 2.633745 |
| 0.881962 | 2.63337 |
| 0.88567 | 2.632998 |
| 0.889394 | 2.632629 |
| 0.893134 | 2.632262 |
| 0.89689 | 2.631898 |
| 0.900662 | 2.631538 |
| 0.904449 | 2.631179 |
| 0.908252 | 2.630824 |
| 0.912071 | 2.630471 |
| 0.915907 | 2.630121 |
| 0.919758 | 2.629774 |
| 0.923626 | 2.629429 |
| 0.92751 | 2.629086 |
| 0.93141 | 2.628746 |
| 0.935326 | 2.628409 |
| 0.939259 | 2.628074 |
| 0.943209 | 2.627742 |
| 0.947175 | 2.627412 |
| 0.951158 | 2.627084 |
| 0.955158 | 2.626759 |
| 0.959174 | 2.626436 |
| 0.963208 | 2.626115 |
| 0.967258 | 2.625797 |
| 0.971325 | 2.625481 |
| 0.97541 | 2.625167 |
| 0.979511 | 2.624855 |
| 0.98363 | 2.624546 |
| 0.987767 | 2.624238 |
| 0.99192 | 2.623933 |
| 0.996091 | 2.62363 |
| 1.00028 | 2.623329 |
| 1.00449 | 2.62303 |
| 1.00871 | 2.622733 |
| 1.01295 | 2.622438 |
| 1.01721 | 2.622144 |
| 1.02149 | 2.621853 |
| 1.02578 | 2.621564 |
| 1.0301 | 2.621277 |
| 1.03443 | 2.620991 |
| 1.03878 | 2.620708 |
| 1.04315 | 2.620426 |
| 1.04753 | 2.620146 |
| 1.05194 | 2.619868 |
| 1.05636 | 2.619592 |
| 1.0608 | 2.619317 |
| 1.06526 | 2.619044 |
| 1.06974 | 2.618773 |
| 1.07424 | 2.618503 |
| 1.07876 | 2.618235 |
| 1.0833 | 2.617969 |
| 1.08785 | 2.617705 |
| 1.09243 | 2.617442 |
| 1.09702 | 2.61718 |
| 1.10163 | 2.61692 |
| 1.10626 | 2.616662 |
| 1.11092 | 2.616405 |
| 1.11559 | 2.616149 |
| 1.12028 | 2.615895 |
| 1.12499 | 2.615643 |
| 1.12972 | 2.615392 |
| 1.13447 | 2.615142 |
| 1.13924 | 2.614894 |
| 1.14403 | 2.614647 |
| 1.14884 | 2.614401 |
| 1.15367 | 2.614157 |
| 1.15852 | 2.613914 |
| 1.1634 | 2.613672 |
| 1.16829 | 2.613432 |
| 1.1732 | 2.613193 |
| 1.17813 | 2.612955 |
| 1.18309 | 2.612718 |
| 1.18806 | 2.612482 |
| 1.19306 | 2.612248 |
| 1.19808 | 2.612015 |
| 1.20311 | 2.611783 |
| 1.20817 | 2.611552 |
| 1.21325 | 2.611322 |
| 1.21836 | 2.611093 |
| 1.22348 | 2.610865 |
| 1.22862 | 2.610639 |
| 1.23379 | 2.610413 |
| 1.23898 | 2.610189 |
| 1.24419 | 2.609965 |
| 1.24942 | 2.609742 |
| 1.25467 | 2.609521 |
| 1.25995 | 2.6093 |
| 1.26525 | 2.60908 |
| 1.27057 | 2.608861 |
| 1.27591 | 2.608643 |
| 1.28128 | 2.608426 |
| 1.28666 | 2.60821 |
| 1.29207 | 2.607995 |
| 1.29751 | 2.60778 |
| 1.30296 | 2.607567 |
| 1.30844 | 2.607354 |
| 1.31395 | 2.607141 |
| 1.31947 | 2.60693 |
| 1.32502 | 2.606719 |
| 1.33059 | 2.606509 |
| 1.33619 | 2.6063 |
| 1.3418 | 2.606092 |
| 1.34745 | 2.605884 |
| 1.35311 | 2.605677 |
| 1.3588 | 2.60547 |
| 1.36452 | 2.605265 |
| 1.37025 | 2.605059 |
| 1.37602 | 2.604855 |
| 1.3818 | 2.604651 |
| 1.38761 | 2.604447 |
| 1.39345 | 2.604244 |
| 1.39931 | 2.604042 |
| 1.40519 | 2.60384 |
| 1.4111 | 2.603639 |
| 1.41703 | 2.603438 |
| 1.42299 | 2.603238 |
| 1.42898 | 2.603038 |
| 1.43499 | 2.602839 |
| 1.44102 | 2.60264 |
| 1.44708 | 2.602441 |
| 1.45316 | 2.602243 |
| 1.45927 | 2.602045 |
| 1.46541 | 2.601848 |
| 1.47157 | 2.601651 |
| 1.47776 | 2.601454 |
| 1.48398 | 2.601258 |
| 1.49022 | 2.601062 |
| 1.49648 | 2.600866 |
| 1.50277 | 2.600671 |
| 1.50909 | 2.600476 |
| 1.51544 | 2.600281 |
| 1.52181 | 2.600087 |
| 1.52821 | 2.599892 |
| 1.53464 | 2.599698 |
| 1.54109 | 2.599504 |
| 1.54757 | 2.599311 |
| 1.55408 | 2.599117 |
| 1.56061 | 2.598924 |
| 1.56718 | 2.59873 |
| 1.57377 | 2.598537 |
| 1.58038 | 2.598344 |
| 1.58703 | 2.598152 |
| 1.5937 | 2.597959 |
| 1.6004 | 2.597766 |
| 1.60713 | 2.597573 |
| 1.61389 | 2.597381 |
| 1.62068 | 2.597188 |
| 1.62749 | 2.596996 |
| 1.63434 | 2.596803 |
| 1.64121 | 2.596611 |
| 1.64811 | 2.596418 |
| 1.65504 | 2.596226 |
| 1.662 | 2.596033 |
| 1.66899 | 2.595841 |
| 1.67601 | 2.595648 |
| 1.68306 | 2.595455 |
| 1.69013 | 2.595262 |
| 1.69724 | 2.595069 |
| 1.70438 | 2.594876 |
| 1.71154 | 2.594682 |
| 1.71874 | 2.594489 |
| 1.72597 | 2.594295 |
| 1.73323 | 2.594101 |
| 1.74051 | 2.593907 |
| 1.74783 | 2.593713 |
| 1.75518 | 2.593518 |
| 1.76256 | 2.593324 |
| 1.76998 | 2.593129 |
| 1.77742 | 2.592933 |
| 1.78489 | 2.592738 |
| 1.7924 | 2.592542 |
| 1.79994 | 2.592346 |
| 1.8075 | 2.592149 |
| 1.8151 | 2.591952 |
| 1.82274 | 2.591755 |
| 1.8304 | 2.591557 |
| 1.8381 | 2.591359 |
| 1.84583 | 2.591161 |
| 1.85359 | 2.590962 |
| 1.86138 | 2.590763 |
| 1.86921 | 2.590563 |
| 1.87707 | 2.590363 |
| 1.88496 | 2.590162 |
| 1.89289 | 2.589961 |
| 1.90085 | 2.589759 |
| 1.90884 | 2.589557 |
| 1.91687 | 2.589355 |
| 1.92493 | 2.589151 |
| 1.93303 | 2.588947 |
| 1.94115 | 2.588743 |
| 1.94932 | 2.588538 |
| 1.95751 | 2.588333 |
| 1.96574 | 2.588126 |
| 1.97401 | 2.587919 |
| 1.98231 | 2.587712 |
| 1.99065 | 2.587504 |
| 1.99902 | 2.587295 |
| 2.00742 | 2.587085 |
| 2.01587 | 2.586875 |
| 2.02434 | 2.586664 |
| 2.03285 | 2.586452 |
| 2.0414 | 2.58624 |
| 2.04999 | 2.586027 |
| 2.05861 | 2.585813 |
| 2.06726 | 2.585598 |
| 2.07596 | 2.585382 |
| 2.08469 | 2.585165 |
| 2.09345 | 2.584948 |
| 2.10226 | 2.58473 |
| 2.1111 | 2.584511 |
| 2.11997 | 2.584291 |
| 2.12889 | 2.58407 |
| 2.13784 | 2.583848 |
| 2.14683 | 2.583625 |
| 2.15586 | 2.583401 |
| 2.16492 | 2.583176 |
| 2.17403 | 2.582951 |
| 2.18317 | 2.582724 |
| 2.19235 | 2.582496 |
| 2.20157 | 2.582267 |
| 2.21082 | 2.582037 |
| 2.22012 | 2.581806 |
| 2.22946 | 2.581574 |
| 2.23883 | 2.581341 |
| 2.24825 | 2.581107 |
| 2.2577 | 2.580871 |
| 2.26719 | 2.580635 |
| 2.27673 | 2.580397 |
| 2.2863 | 2.580158 |
| 2.29591 | 2.579918 |
| 2.30557 | 2.579676 |
| 2.31526 | 2.579433 |
| 2.325 | 2.579189 |
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); Extraordinary ray (e)