Optical constants
Refractive index of SiC (Silicon carbide)
Wang et al. 2013: 4H-SiC; n(o) 0.405–5 µm
- Data
- formula 2
- Range
- 0.4047–5 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
- 2.64652
- Extinction coefficient k
- 0
- Permittivity ε1
- 7.00405
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 25.911
- Chromatic dispersion dn/dλ
- -0.322755 µm⁻¹
- Group index ng
- 2.83617
- Group velocity dispersion
- 635.72 fs²/mm
- Dispersion parameter D
- -3468.19 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: 4H-SiC; n(o) 0.405–5 µm
sic = ls.fetch_refractiveindex("main", "SiC", "Wang-4H-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sic.range_nm) # (404.7, 5000) 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_93e91991cec0/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-2013-4h-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=405, 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
Sellmeier (C in µm²) (formula 2), λ in µmValid from 0.4047 to 5.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 0.20075 |
| C3 | -12.07224 |
| C4 | 5.54861 |
| C5 | 0.02641 |
| C6 | 35.65066 |
| C7 | 1268.24708 |
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 |
|---|---|
| 0.4047 | 2.759243 |
| 0.407258 | 2.756358 |
| 0.409832 | 2.753519 |
| 0.412423 | 2.750727 |
| 0.415029 | 2.747979 |
| 0.417653 | 2.745275 |
| 0.420293 | 2.742614 |
| 0.422949 | 2.739995 |
| 0.425623 | 2.737418 |
| 0.428313 | 2.734881 |
| 0.43102 | 2.732385 |
| 0.433744 | 2.729927 |
| 0.436486 | 2.727508 |
| 0.439245 | 2.725127 |
| 0.442021 | 2.722783 |
| 0.444815 | 2.720475 |
| 0.447627 | 2.718203 |
| 0.450456 | 2.715965 |
| 0.453303 | 2.713762 |
| 0.456169 | 2.711593 |
| 0.459052 | 2.709457 |
| 0.461954 | 2.707354 |
| 0.464873 | 2.705282 |
| 0.467812 | 2.703242 |
| 0.470769 | 2.701233 |
| 0.473744 | 2.699254 |
| 0.476739 | 2.697304 |
| 0.479752 | 2.695384 |
| 0.482785 | 2.693493 |
| 0.485836 | 2.69163 |
| 0.488907 | 2.689794 |
| 0.491997 | 2.687986 |
| 0.495107 | 2.686204 |
| 0.498236 | 2.684449 |
| 0.501386 | 2.68272 |
| 0.504555 | 2.681016 |
| 0.507744 | 2.679337 |
| 0.510953 | 2.677682 |
| 0.514183 | 2.676052 |
| 0.517433 | 2.674446 |
| 0.520704 | 2.672862 |
| 0.523995 | 2.671302 |
| 0.527307 | 2.669764 |
| 0.53064 | 2.668249 |
| 0.533994 | 2.666755 |
| 0.537369 | 2.665283 |
| 0.540766 | 2.663831 |
| 0.544184 | 2.662401 |
| 0.547623 | 2.660991 |
| 0.551085 | 2.659601 |
| 0.554568 | 2.65823 |
| 0.558073 | 2.656879 |
| 0.561601 | 2.655548 |
| 0.565151 | 2.654235 |
| 0.568723 | 2.65294 |
| 0.572317 | 2.651664 |
| 0.575935 | 2.650405 |
| 0.579575 | 2.649165 |
| 0.583239 | 2.647941 |
| 0.586925 | 2.646735 |
| 0.590635 | 2.645545 |
| 0.594368 | 2.644372 |
| 0.598125 | 2.643215 |
| 0.601906 | 2.642074 |
| 0.60571 | 2.640949 |
| 0.609539 | 2.639839 |
| 0.613392 | 2.638745 |
| 0.617269 | 2.637665 |
| 0.62117 | 2.6366 |
| 0.625097 | 2.63555 |
| 0.629048 | 2.634514 |
| 0.633024 | 2.633493 |
| 0.637025 | 2.632485 |
| 0.641051 | 2.63149 |
| 0.645103 | 2.63051 |
| 0.649181 | 2.629542 |
| 0.653284 | 2.628587 |
| 0.657413 | 2.627646 |
| 0.661569 | 2.626717 |
| 0.66575 | 2.6258 |
| 0.669958 | 2.624895 |
| 0.674193 | 2.624003 |
| 0.678454 | 2.623122 |
| 0.682743 | 2.622254 |
| 0.687058 | 2.621396 |
| 0.691401 | 2.62055 |
| 0.695771 | 2.619715 |
| 0.700169 | 2.618891 |
| 0.704595 | 2.618078 |
| 0.709048 | 2.617276 |
| 0.71353 | 2.616484 |
| 0.71804 | 2.615702 |
| 0.722579 | 2.614931 |
| 0.727146 | 2.614169 |
| 0.731742 | 2.613418 |
| 0.736367 | 2.612676 |
| 0.741021 | 2.611944 |
| 0.745705 | 2.611221 |
| 0.750419 | 2.610507 |
| 0.755162 | 2.609803 |
| 0.759935 | 2.609107 |
| 0.764738 | 2.608421 |
| 0.769572 | 2.607743 |
| 0.774436 | 2.607073 |
| 0.779332 | 2.606412 |
| 0.784257 | 2.60576 |
| 0.789215 | 2.605116 |
| 0.794203 | 2.604479 |
| 0.799223 | 2.603851 |
| 0.804275 | 2.603231 |
| 0.809358 | 2.602618 |
| 0.814474 | 2.602013 |
| 0.819622 | 2.601415 |
| 0.824803 | 2.600825 |
| 0.830016 | 2.600242 |
| 0.835263 | 2.599666 |
| 0.840542 | 2.599097 |
| 0.845855 | 2.598535 |
| 0.851201 | 2.59798 |
| 0.856582 | 2.597431 |
| 0.861996 | 2.596889 |
| 0.867444 | 2.596354 |
| 0.872927 | 2.595825 |
| 0.878445 | 2.595303 |
| 0.883997 | 2.594786 |
| 0.889585 | 2.594276 |
| 0.895208 | 2.593772 |
| 0.900866 | 2.593273 |
| 0.90656 | 2.592781 |
| 0.91229 | 2.592294 |
| 0.918057 | 2.591813 |
| 0.92386 | 2.591337 |
| 0.929699 | 2.590867 |
| 0.935575 | 2.590402 |
| 0.941489 | 2.589943 |
| 0.94744 | 2.589488 |
| 0.953428 | 2.589039 |
| 0.959455 | 2.588595 |
| 0.965519 | 2.588156 |
| 0.971622 | 2.587722 |
| 0.977764 | 2.587292 |
| 0.983944 | 2.586868 |
| 0.990163 | 2.586447 |
| 0.996422 | 2.586032 |
| 1.00272 | 2.585621 |
| 1.00906 | 2.585214 |
| 1.01544 | 2.584812 |
| 1.02185 | 2.584414 |
| 1.02831 | 2.58402 |
| 1.03481 | 2.58363 |
| 1.04135 | 2.583244 |
| 1.04794 | 2.582863 |
| 1.05456 | 2.582485 |
| 1.06122 | 2.582111 |
| 1.06793 | 2.581741 |
| 1.07468 | 2.581374 |
| 1.08148 | 2.581011 |
| 1.08831 | 2.580652 |
| 1.09519 | 2.580296 |
| 1.10211 | 2.579944 |
| 1.10908 | 2.579595 |
| 1.11609 | 2.579249 |
| 1.12314 | 2.578906 |
| 1.13024 | 2.578567 |
| 1.13739 | 2.578231 |
| 1.14458 | 2.577898 |
| 1.15181 | 2.577568 |
| 1.15909 | 2.57724 |
| 1.16642 | 2.576916 |
| 1.17379 | 2.576595 |
| 1.18121 | 2.576276 |
| 1.18868 | 2.57596 |
| 1.19619 | 2.575646 |
| 1.20375 | 2.575335 |
| 1.21136 | 2.575027 |
| 1.21901 | 2.574721 |
| 1.22672 | 2.574418 |
| 1.23447 | 2.574117 |
| 1.24228 | 2.573818 |
| 1.25013 | 2.573521 |
| 1.25803 | 2.573227 |
| 1.26598 | 2.572935 |
| 1.27398 | 2.572644 |
| 1.28204 | 2.572356 |
| 1.29014 | 2.57207 |
| 1.29829 | 2.571786 |
| 1.3065 | 2.571503 |
| 1.31476 | 2.571223 |
| 1.32307 | 2.570944 |
| 1.33143 | 2.570667 |
| 1.33985 | 2.570391 |
| 1.34832 | 2.570117 |
| 1.35684 | 2.569845 |
| 1.36542 | 2.569574 |
| 1.37405 | 2.569304 |
| 1.38273 | 2.569036 |
| 1.39147 | 2.56877 |
| 1.40027 | 2.568504 |
| 1.40912 | 2.56824 |
| 1.41802 | 2.567977 |
| 1.42699 | 2.567715 |
| 1.43601 | 2.567454 |
| 1.44508 | 2.567195 |
| 1.45422 | 2.566936 |
| 1.46341 | 2.566678 |
| 1.47266 | 2.566421 |
| 1.48197 | 2.566165 |
| 1.49133 | 2.565909 |
| 1.50076 | 2.565655 |
| 1.51025 | 2.565401 |
| 1.51979 | 2.565147 |
| 1.5294 | 2.564895 |
| 1.53907 | 2.564642 |
| 1.54879 | 2.564391 |
| 1.55858 | 2.564139 |
| 1.56843 | 2.563888 |
| 1.57835 | 2.563638 |
| 1.58832 | 2.563387 |
| 1.59836 | 2.563137 |
| 1.60847 | 2.562887 |
| 1.61863 | 2.562637 |
| 1.62886 | 2.562387 |
| 1.63916 | 2.562138 |
| 1.64952 | 2.561888 |
| 1.65995 | 2.561638 |
| 1.67044 | 2.561388 |
| 1.681 | 2.561137 |
| 1.69162 | 2.560887 |
| 1.70232 | 2.560636 |
| 1.71308 | 2.560385 |
| 1.7239 | 2.560133 |
| 1.7348 | 2.559881 |
| 1.74576 | 2.559629 |
| 1.7568 | 2.559376 |
| 1.7679 | 2.559122 |
| 1.77908 | 2.558868 |
| 1.79032 | 2.558612 |
| 1.80164 | 2.558356 |
| 1.81303 | 2.5581 |
| 1.82449 | 2.557842 |
| 1.83602 | 2.557583 |
| 1.84762 | 2.557324 |
| 1.8593 | 2.557063 |
| 1.87105 | 2.556801 |
| 1.88288 | 2.556538 |
| 1.89478 | 2.556274 |
| 1.90676 | 2.556009 |
| 1.91881 | 2.555742 |
| 1.93094 | 2.555474 |
| 1.94314 | 2.555204 |
| 1.95543 | 2.554933 |
| 1.96779 | 2.55466 |
| 1.98022 | 2.554385 |
| 1.99274 | 2.554109 |
| 2.00534 | 2.553831 |
| 2.01801 | 2.553551 |
| 2.03077 | 2.553269 |
| 2.0436 | 2.552985 |
| 2.05652 | 2.5527 |
| 2.06952 | 2.552412 |
| 2.0826 | 2.552122 |
| 2.09576 | 2.55183 |
| 2.10901 | 2.551535 |
| 2.12234 | 2.551238 |
| 2.13576 | 2.550939 |
| 2.14926 | 2.550637 |
| 2.16284 | 2.550332 |
| 2.17651 | 2.550025 |
| 2.19027 | 2.549716 |
| 2.20411 | 2.549403 |
| 2.21804 | 2.549088 |
| 2.23206 | 2.548769 |
| 2.24617 | 2.548448 |
| 2.26037 | 2.548124 |
| 2.27466 | 2.547796 |
| 2.28903 | 2.547465 |
| 2.3035 | 2.547131 |
| 2.31806 | 2.546794 |
| 2.33271 | 2.546453 |
| 2.34746 | 2.546108 |
| 2.3623 | 2.54576 |
| 2.37723 | 2.545409 |
| 2.39225 | 2.545053 |
| 2.40738 | 2.544694 |
| 2.42259 | 2.54433 |
| 2.4379 | 2.543963 |
| 2.45331 | 2.543591 |
| 2.46882 | 2.543216 |
| 2.48443 | 2.542836 |
| 2.50013 | 2.542452 |
| 2.51593 | 2.542063 |
| 2.53183 | 2.541669 |
| 2.54784 | 2.541271 |
| 2.56394 | 2.540869 |
| 2.58015 | 2.540461 |
| 2.59646 | 2.540049 |
| 2.61287 | 2.539631 |
| 2.62938 | 2.539209 |
| 2.646 | 2.538781 |
| 2.66273 | 2.538348 |
| 2.67956 | 2.537909 |
| 2.69649 | 2.537465 |
| 2.71354 | 2.537015 |
| 2.73069 | 2.53656 |
| 2.74795 | 2.536099 |
| 2.76532 | 2.535631 |
| 2.7828 | 2.535158 |
| 2.80039 | 2.534679 |
| 2.81809 | 2.534193 |
| 2.8359 | 2.533701 |
| 2.85383 | 2.533203 |
| 2.87186 | 2.532698 |
| 2.89002 | 2.532186 |
| 2.90828 | 2.531667 |
| 2.92667 | 2.531142 |
| 2.94516 | 2.530609 |
| 2.96378 | 2.530069 |
| 2.98251 | 2.529522 |
| 3.00137 | 2.528968 |
| 3.02034 | 2.528405 |
| 3.03943 | 2.527836 |
| 3.05864 | 2.527258 |
| 3.07797 | 2.526672 |
| 3.09743 | 2.526079 |
| 3.11701 | 2.525477 |
| 3.13671 | 2.524867 |
| 3.15653 | 2.524248 |
| 3.17649 | 2.523621 |
| 3.19656 | 2.522984 |
| 3.21677 | 2.522339 |
| 3.2371 | 2.521685 |
| 3.25756 | 2.521022 |
| 3.27815 | 2.520349 |
| 3.29887 | 2.519667 |
| 3.31972 | 2.518975 |
| 3.34071 | 2.518274 |
| 3.36182 | 2.517562 |
| 3.38307 | 2.51684 |
| 3.40445 | 2.516109 |
| 3.42597 | 2.515366 |
| 3.44763 | 2.514613 |
| 3.46942 | 2.513849 |
| 3.49135 | 2.513074 |
| 3.51342 | 2.512289 |
| 3.53562 | 2.511491 |
| 3.55797 | 2.510683 |
| 3.58046 | 2.509862 |
| 3.60309 | 2.50903 |
| 3.62587 | 2.508186 |
| 3.64879 | 2.50733 |
| 3.67185 | 2.506461 |
| 3.69506 | 2.50558 |
| 3.71841 | 2.504686 |
| 3.74192 | 2.503779 |
| 3.76557 | 2.502859 |
| 3.78937 | 2.501925 |
| 3.81332 | 2.500978 |
| 3.83742 | 2.500017 |
| 3.86168 | 2.499042 |
| 3.88609 | 2.498053 |
| 3.91065 | 2.497049 |
| 3.93537 | 2.496031 |
| 3.96024 | 2.494998 |
| 3.98528 | 2.49395 |
| 4.01047 | 2.492887 |
| 4.03582 | 2.491808 |
| 4.06132 | 2.490713 |
| 4.087 | 2.489602 |
| 4.11283 | 2.488476 |
| 4.13882 | 2.487332 |
| 4.16499 | 2.486172 |
| 4.19131 | 2.484994 |
| 4.2178 | 2.4838 |
| 4.24446 | 2.482588 |
| 4.27129 | 2.481358 |
| 4.29829 | 2.48011 |
| 4.32546 | 2.478844 |
| 4.3528 | 2.477559 |
| 4.38031 | 2.476255 |
| 4.408 | 2.474932 |
| 4.43586 | 2.47359 |
| 4.4639 | 2.472228 |
| 4.49211 | 2.470846 |
| 4.52051 | 2.469443 |
| 4.54908 | 2.46802 |
| 4.57783 | 2.466576 |
| 4.60677 | 2.46511 |
| 4.63589 | 2.463623 |
| 4.66519 | 2.462114 |
| 4.69468 | 2.460583 |
| 4.72435 | 2.459029 |
| 4.75421 | 2.457452 |
| 4.78426 | 2.455851 |
| 4.8145 | 2.454227 |
| 4.84493 | 2.452579 |
| 4.87556 | 2.450907 |
| 4.90637 | 2.44921 |
| 4.93739 | 2.447488 |
| 4.96859 | 2.44574 |
| 5 | 2.443966 |
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
- —
4H-SiC (hexagonal crystal structure); Ordinary ray (o)