Optical constants
Refractive index of SiC (Silicon carbide)
Wang et al. 2013: 4H-SiC; n(e) 0.405–2.33 µm
- Data
- formula 4
- Range
- 0.4047–2.325 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
- 2.6998
- Extinction coefficient k
- 0
- Permittivity ε1
- 7.28892
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 23.968
- Chromatic dispersion dn/dλ
- -0.357526 µm⁻¹
- Group index ng
- 2.90988
- Group velocity dispersion
- 724.908 fs²/mm
- Dispersion parameter D
- -3954.76 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(e) 0.405–2.33 µm
sic = ls.fetch_refractiveindex("main", "SiC", "Wang-4H-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sic.range_nm) # (404.7, 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_abec8a6fa3a9/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-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=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
RefractiveIndex.INFO (formula 4), λ in µmValid from 0.4047 to 2.325 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 6.79485 |
| C2 | 0.15558 |
| C3 | 0.0 |
| C4 | 0.03535 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.02296 |
| 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 |
|---|---|
| 0.4047 | 2.828864 |
| 0.406477 | 2.82648 |
| 0.408262 | 2.824126 |
| 0.410055 | 2.821802 |
| 0.411856 | 2.819507 |
| 0.413664 | 2.817241 |
| 0.415481 | 2.815002 |
| 0.417305 | 2.812791 |
| 0.419138 | 2.810608 |
| 0.420979 | 2.808451 |
| 0.422827 | 2.80632 |
| 0.424684 | 2.804216 |
| 0.426549 | 2.802137 |
| 0.428422 | 2.800083 |
| 0.430304 | 2.798054 |
| 0.432193 | 2.796049 |
| 0.434091 | 2.794069 |
| 0.435997 | 2.792112 |
| 0.437912 | 2.790179 |
| 0.439835 | 2.788268 |
| 0.441767 | 2.78638 |
| 0.443707 | 2.784515 |
| 0.445655 | 2.782671 |
| 0.447612 | 2.780849 |
| 0.449578 | 2.779048 |
| 0.451552 | 2.777269 |
| 0.453535 | 2.77551 |
| 0.455527 | 2.773772 |
| 0.457527 | 2.772053 |
| 0.459536 | 2.770355 |
| 0.461554 | 2.768676 |
| 0.463581 | 2.767016 |
| 0.465617 | 2.765376 |
| 0.467661 | 2.763754 |
| 0.469715 | 2.762151 |
| 0.471778 | 2.760565 |
| 0.47385 | 2.758998 |
| 0.47593 | 2.757449 |
| 0.47802 | 2.755917 |
| 0.48012 | 2.754402 |
| 0.482228 | 2.752904 |
| 0.484346 | 2.751423 |
| 0.486473 | 2.749958 |
| 0.488609 | 2.74851 |
| 0.490755 | 2.747078 |
| 0.49291 | 2.745662 |
| 0.495074 | 2.744261 |
| 0.497248 | 2.742876 |
| 0.499432 | 2.741506 |
| 0.501625 | 2.740151 |
| 0.503828 | 2.73881 |
| 0.506041 | 2.737485 |
| 0.508263 | 2.736174 |
| 0.510495 | 2.734877 |
| 0.512736 | 2.733594 |
| 0.514988 | 2.732325 |
| 0.51725 | 2.73107 |
| 0.519521 | 2.729828 |
| 0.521802 | 2.728599 |
| 0.524094 | 2.727384 |
| 0.526395 | 2.726182 |
| 0.528707 | 2.724992 |
| 0.531029 | 2.723815 |
| 0.533361 | 2.722651 |
| 0.535703 | 2.721499 |
| 0.538055 | 2.720359 |
| 0.540418 | 2.719231 |
| 0.542791 | 2.718115 |
| 0.545175 | 2.717011 |
| 0.547569 | 2.715918 |
| 0.549974 | 2.714837 |
| 0.552389 | 2.713767 |
| 0.554815 | 2.712708 |
| 0.557251 | 2.71166 |
| 0.559698 | 2.710623 |
| 0.562156 | 2.709596 |
| 0.564625 | 2.70858 |
| 0.567104 | 2.707575 |
| 0.569595 | 2.70658 |
| 0.572096 | 2.705595 |
| 0.574608 | 2.704621 |
| 0.577131 | 2.703656 |
| 0.579666 | 2.702701 |
| 0.582211 | 2.701756 |
| 0.584768 | 2.70082 |
| 0.587336 | 2.699894 |
| 0.589915 | 2.698977 |
| 0.592506 | 2.698069 |
| 0.595108 | 2.697171 |
| 0.597721 | 2.696282 |
| 0.600346 | 2.695401 |
| 0.602982 | 2.694529 |
| 0.60563 | 2.693666 |
| 0.60829 | 2.692812 |
| 0.610961 | 2.691966 |
| 0.613644 | 2.691128 |
| 0.616339 | 2.690299 |
| 0.619045 | 2.689478 |
| 0.621764 | 2.688665 |
| 0.624494 | 2.68786 |
| 0.627237 | 2.687063 |
| 0.629991 | 2.686273 |
| 0.632758 | 2.685492 |
| 0.635536 | 2.684718 |
| 0.638327 | 2.683951 |
| 0.64113 | 2.683192 |
| 0.643946 | 2.682441 |
| 0.646774 | 2.681696 |
| 0.649614 | 2.680959 |
| 0.652467 | 2.680229 |
| 0.655332 | 2.679506 |
| 0.65821 | 2.67879 |
| 0.6611 | 2.678081 |
| 0.664003 | 2.677378 |
| 0.666919 | 2.676682 |
| 0.669848 | 2.675993 |
| 0.672789 | 2.675311 |
| 0.675744 | 2.674634 |
| 0.678711 | 2.673965 |
| 0.681692 | 2.673301 |
| 0.684685 | 2.672644 |
| 0.687692 | 2.671993 |
| 0.690712 | 2.671348 |
| 0.693745 | 2.670709 |
| 0.696792 | 2.670076 |
| 0.699852 | 2.669449 |
| 0.702925 | 2.668828 |
| 0.706012 | 2.668212 |
| 0.709112 | 2.667603 |
| 0.712226 | 2.666998 |
| 0.715354 | 2.6664 |
| 0.718495 | 2.665807 |
| 0.72165 | 2.665219 |
| 0.724819 | 2.664637 |
| 0.728002 | 2.66406 |
| 0.731199 | 2.663488 |
| 0.73441 | 2.662922 |
| 0.737635 | 2.66236 |
| 0.740875 | 2.661804 |
| 0.744128 | 2.661253 |
| 0.747396 | 2.660706 |
| 0.750678 | 2.660165 |
| 0.753974 | 2.659628 |
| 0.757285 | 2.659097 |
| 0.760611 | 2.65857 |
| 0.763951 | 2.658047 |
| 0.767306 | 2.657529 |
| 0.770675 | 2.657016 |
| 0.77406 | 2.656508 |
| 0.777459 | 2.656004 |
| 0.780873 | 2.655504 |
| 0.784302 | 2.655008 |
| 0.787746 | 2.654517 |
| 0.791206 | 2.654031 |
| 0.79468 | 2.653548 |
| 0.79817 | 2.65307 |
| 0.801675 | 2.652596 |
| 0.805196 | 2.652125 |
| 0.808731 | 2.651659 |
| 0.812283 | 2.651197 |
| 0.81585 | 2.650739 |
| 0.819433 | 2.650285 |
| 0.823031 | 2.649834 |
| 0.826645 | 2.649388 |
| 0.830276 | 2.648945 |
| 0.833922 | 2.648506 |
| 0.837584 | 2.64807 |
| 0.841262 | 2.647639 |
| 0.844956 | 2.647211 |
| 0.848667 | 2.646786 |
| 0.852393 | 2.646365 |
| 0.856137 | 2.645947 |
| 0.859896 | 2.645533 |
| 0.863672 | 2.645122 |
| 0.867465 | 2.644715 |
| 0.871275 | 2.644311 |
| 0.875101 | 2.64391 |
| 0.878944 | 2.643512 |
| 0.882803 | 2.643118 |
| 0.88668 | 2.642727 |
| 0.890574 | 2.642338 |
| 0.894485 | 2.641953 |
| 0.898413 | 2.641571 |
| 0.902358 | 2.641193 |
| 0.906321 | 2.640817 |
| 0.910301 | 2.640444 |
| 0.914298 | 2.640074 |
| 0.918313 | 2.639706 |
| 0.922346 | 2.639342 |
| 0.926396 | 2.63898 |
| 0.930464 | 2.638622 |
| 0.93455 | 2.638266 |
| 0.938654 | 2.637912 |
| 0.942776 | 2.637562 |
| 0.946916 | 2.637214 |
| 0.951075 | 2.636868 |
| 0.955251 | 2.636526 |
| 0.959446 | 2.636185 |
| 0.96366 | 2.635848 |
| 0.967891 | 2.635513 |
| 0.972142 | 2.63518 |
| 0.976411 | 2.63485 |
| 0.980699 | 2.634522 |
| 0.985005 | 2.634196 |
| 0.989331 | 2.633873 |
| 0.993675 | 2.633552 |
| 0.998039 | 2.633234 |
| 1.00242 | 2.632917 |
| 1.00682 | 2.632603 |
| 1.01125 | 2.632291 |
| 1.01569 | 2.631982 |
| 1.02015 | 2.631674 |
| 1.02463 | 2.631369 |
| 1.02913 | 2.631065 |
| 1.03364 | 2.630764 |
| 1.03818 | 2.630465 |
| 1.04274 | 2.630167 |
| 1.04732 | 2.629872 |
| 1.05192 | 2.629579 |
| 1.05654 | 2.629287 |
| 1.06118 | 2.628998 |
| 1.06584 | 2.62871 |
| 1.07052 | 2.628425 |
| 1.07522 | 2.628141 |
| 1.07994 | 2.627859 |
| 1.08469 | 2.627578 |
| 1.08945 | 2.6273 |
| 1.09423 | 2.627023 |
| 1.09904 | 2.626748 |
| 1.10387 | 2.626474 |
| 1.10871 | 2.626203 |
| 1.11358 | 2.625932 |
| 1.11847 | 2.625664 |
| 1.12338 | 2.625397 |
| 1.12832 | 2.625132 |
| 1.13327 | 2.624868 |
| 1.13825 | 2.624605 |
| 1.14325 | 2.624345 |
| 1.14827 | 2.624085 |
| 1.15331 | 2.623827 |
| 1.15837 | 2.623571 |
| 1.16346 | 2.623316 |
| 1.16857 | 2.623062 |
| 1.1737 | 2.62281 |
| 1.17886 | 2.622559 |
| 1.18403 | 2.62231 |
| 1.18923 | 2.622061 |
| 1.19445 | 2.621814 |
| 1.1997 | 2.621569 |
| 1.20497 | 2.621324 |
| 1.21026 | 2.621081 |
| 1.21557 | 2.620839 |
| 1.22091 | 2.620598 |
| 1.22627 | 2.620358 |
| 1.23166 | 2.620119 |
| 1.23707 | 2.619882 |
| 1.2425 | 2.619646 |
| 1.24796 | 2.61941 |
| 1.25344 | 2.619176 |
| 1.25894 | 2.618943 |
| 1.26447 | 2.618711 |
| 1.27002 | 2.618479 |
| 1.2756 | 2.618249 |
| 1.2812 | 2.61802 |
| 1.28683 | 2.617792 |
| 1.29248 | 2.617564 |
| 1.29815 | 2.617338 |
| 1.30386 | 2.617112 |
| 1.30958 | 2.616887 |
| 1.31533 | 2.616664 |
| 1.32111 | 2.616441 |
| 1.32691 | 2.616218 |
| 1.33274 | 2.615997 |
| 1.33859 | 2.615776 |
| 1.34447 | 2.615556 |
| 1.35037 | 2.615337 |
| 1.3563 | 2.615119 |
| 1.36226 | 2.614901 |
| 1.36824 | 2.614684 |
| 1.37425 | 2.614468 |
| 1.38028 | 2.614252 |
| 1.38634 | 2.614037 |
| 1.39243 | 2.613822 |
| 1.39855 | 2.613608 |
| 1.40469 | 2.613395 |
| 1.41086 | 2.613182 |
| 1.41705 | 2.61297 |
| 1.42328 | 2.612758 |
| 1.42953 | 2.612547 |
| 1.4358 | 2.612337 |
| 1.44211 | 2.612126 |
| 1.44844 | 2.611917 |
| 1.4548 | 2.611707 |
| 1.46119 | 2.611498 |
| 1.46761 | 2.61129 |
| 1.47405 | 2.611082 |
| 1.48053 | 2.610874 |
| 1.48703 | 2.610667 |
| 1.49356 | 2.61046 |
| 1.50012 | 2.610253 |
| 1.5067 | 2.610047 |
| 1.51332 | 2.609841 |
| 1.51997 | 2.609635 |
| 1.52664 | 2.609429 |
| 1.53334 | 2.609224 |
| 1.54008 | 2.609019 |
| 1.54684 | 2.608814 |
| 1.55363 | 2.608609 |
| 1.56046 | 2.608405 |
| 1.56731 | 2.6082 |
| 1.57419 | 2.607996 |
| 1.5811 | 2.607792 |
| 1.58805 | 2.607588 |
| 1.59502 | 2.607384 |
| 1.60203 | 2.60718 |
| 1.60906 | 2.606977 |
| 1.61613 | 2.606773 |
| 1.62322 | 2.606569 |
| 1.63035 | 2.606366 |
| 1.63751 | 2.606162 |
| 1.6447 | 2.605958 |
| 1.65193 | 2.605755 |
| 1.65918 | 2.605551 |
| 1.66647 | 2.605347 |
| 1.67378 | 2.605143 |
| 1.68113 | 2.604939 |
| 1.68852 | 2.604735 |
| 1.69593 | 2.60453 |
| 1.70338 | 2.604326 |
| 1.71086 | 2.604121 |
| 1.71837 | 2.603916 |
| 1.72592 | 2.603711 |
| 1.7335 | 2.603506 |
| 1.74111 | 2.603301 |
| 1.74876 | 2.603095 |
| 1.75644 | 2.602889 |
| 1.76415 | 2.602683 |
| 1.7719 | 2.602476 |
| 1.77968 | 2.602269 |
| 1.78749 | 2.602062 |
| 1.79534 | 2.601855 |
| 1.80323 | 2.601647 |
| 1.81114 | 2.601438 |
| 1.8191 | 2.60123 |
| 1.82709 | 2.601021 |
| 1.83511 | 2.600811 |
| 1.84317 | 2.600601 |
| 1.85126 | 2.600391 |
| 1.85939 | 2.60018 |
| 1.86756 | 2.599968 |
| 1.87576 | 2.599756 |
| 1.884 | 2.599544 |
| 1.89227 | 2.599331 |
| 1.90058 | 2.599117 |
| 1.90892 | 2.598903 |
| 1.91731 | 2.598688 |
| 1.92573 | 2.598473 |
| 1.93418 | 2.598257 |
| 1.94268 | 2.59804 |
| 1.95121 | 2.597823 |
| 1.95978 | 2.597605 |
| 1.96838 | 2.597386 |
| 1.97703 | 2.597167 |
| 1.98571 | 2.596947 |
| 1.99443 | 2.596726 |
| 2.00319 | 2.596504 |
| 2.01198 | 2.596282 |
| 2.02082 | 2.596058 |
| 2.02969 | 2.595834 |
| 2.03861 | 2.595609 |
| 2.04756 | 2.595383 |
| 2.05655 | 2.595157 |
| 2.06558 | 2.594929 |
| 2.07465 | 2.594701 |
| 2.08376 | 2.594471 |
| 2.09291 | 2.594241 |
| 2.1021 | 2.59401 |
| 2.11134 | 2.593777 |
| 2.12061 | 2.593544 |
| 2.12992 | 2.59331 |
| 2.13927 | 2.593074 |
| 2.14867 | 2.592838 |
| 2.1581 | 2.5926 |
| 2.16758 | 2.592362 |
| 2.1771 | 2.592122 |
| 2.18666 | 2.591881 |
| 2.19626 | 2.591639 |
| 2.20591 | 2.591396 |
| 2.21559 | 2.591152 |
| 2.22532 | 2.590906 |
| 2.2351 | 2.590659 |
| 2.24491 | 2.590411 |
| 2.25477 | 2.590162 |
| 2.26467 | 2.589911 |
| 2.27462 | 2.589659 |
| 2.2846 | 2.589406 |
| 2.29464 | 2.589151 |
| 2.30471 | 2.588895 |
| 2.31483 | 2.588638 |
| 2.325 | 2.588379 |
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); Extraordinary ray (e)