Optical constants
Refractive index of SiC (Silicon carbide)
Fischer et al. 2017: 4H-SiC; n(e) 17–150 µm
- Data
- formula 2
- Range
- 17–150 µm
- Temperature
- 293 K
- 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
- 3.25503
- Extinction coefficient k
- 0
- Permittivity ε1
- 10.5952
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00145812 µm⁻¹
- Group index ng
- 3.32866
- Group velocity dispersion
- 21549 fs²/mm
- Dispersion parameter D
- -15.9164 ps/(nm·km)
- Photon energy
- 0.0245513 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): Fischer et al. 2017: 4H-SiC; n(e) 17–150 µm
sic = ls.fetch_refractiveindex("main", "SiC", "Fischer-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sic.range_nm) # (17000, 150000) nm
eps = sic.eps([50500]) # 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_2a863b5cd4a9/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/fischer-2017-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=17000, stop_nm=150000, 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_2a863b5cd4a9/lightsmith?model=drude_lorentz"
sic_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 (C in µm²) (formula 2), λ in µmValid from 17.0 to 150.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 6.346 |
| C2 | 3.026 |
| C3 | 175.2 |
Comments and conditions
Conditions
- temperature
- 293 K
- direction
- e
References
- doi:10.1364/ol.42.002687 Coherent field transients below 15 THz from phase-matched difference frequency generation in 4H-SiC, Optics Letters (2017)
Cite
Marco P. Fischer et al.. Coherent field transients below 15 THz from phase-matched difference frequency generation in 4H-SiC. Optics Letters, 42, 2687 (2017), doi:10.1364/ol.42.002687; 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 |
|---|---|
| 17 | 3.876939 |
| 17.093 | 3.860614 |
| 17.1866 | 3.844921 |
| 17.2806 | 3.829825 |
| 17.3752 | 3.815292 |
| 17.4702 | 3.801291 |
| 17.5658 | 3.787796 |
| 17.662 | 3.774779 |
| 17.7586 | 3.762216 |
| 17.8558 | 3.750084 |
| 17.9535 | 3.738362 |
| 18.0517 | 3.72703 |
| 18.1505 | 3.716069 |
| 18.2499 | 3.705462 |
| 18.3497 | 3.695193 |
| 18.4501 | 3.685245 |
| 18.5511 | 3.675605 |
| 18.6526 | 3.666259 |
| 18.7547 | 3.657194 |
| 18.8573 | 3.648399 |
| 18.9605 | 3.639861 |
| 19.0642 | 3.63157 |
| 19.1686 | 3.623516 |
| 19.2735 | 3.615689 |
| 19.3789 | 3.60808 |
| 19.485 | 3.600681 |
| 19.5916 | 3.593483 |
| 19.6988 | 3.586479 |
| 19.8066 | 3.579661 |
| 19.915 | 3.573023 |
| 20.024 | 3.566557 |
| 20.1335 | 3.560257 |
| 20.2437 | 3.554118 |
| 20.3545 | 3.548133 |
| 20.4659 | 3.542298 |
| 20.5779 | 3.536607 |
| 20.6905 | 3.531054 |
| 20.8037 | 3.525636 |
| 20.9175 | 3.520348 |
| 21.032 | 3.515185 |
| 21.1471 | 3.510144 |
| 21.2628 | 3.50522 |
| 21.3791 | 3.500409 |
| 21.4961 | 3.495709 |
| 21.6138 | 3.491115 |
| 21.732 | 3.486624 |
| 21.851 | 3.482233 |
| 21.9705 | 3.477939 |
| 22.0907 | 3.473739 |
| 22.2116 | 3.46963 |
| 22.3332 | 3.46561 |
| 22.4554 | 3.461675 |
| 22.5783 | 3.457824 |
| 22.7018 | 3.454054 |
| 22.826 | 3.450363 |
| 22.9509 | 3.446747 |
| 23.0765 | 3.443207 |
| 23.2028 | 3.439738 |
| 23.3298 | 3.436339 |
| 23.4574 | 3.433009 |
| 23.5858 | 3.429745 |
| 23.7149 | 3.426546 |
| 23.8446 | 3.42341 |
| 23.9751 | 3.420335 |
| 24.1063 | 3.41732 |
| 24.2382 | 3.414363 |
| 24.3709 | 3.411462 |
| 24.5042 | 3.408617 |
| 24.6383 | 3.405825 |
| 24.7731 | 3.403086 |
| 24.9087 | 3.400398 |
| 25.045 | 3.39776 |
| 25.1821 | 3.395171 |
| 25.3199 | 3.392629 |
| 25.4584 | 3.390133 |
| 25.5977 | 3.387682 |
| 25.7378 | 3.385276 |
| 25.8786 | 3.382912 |
| 26.0202 | 3.380591 |
| 26.1626 | 3.378311 |
| 26.3058 | 3.376071 |
| 26.4497 | 3.37387 |
| 26.5945 | 3.371707 |
| 26.74 | 3.369582 |
| 26.8863 | 3.367493 |
| 27.0335 | 3.365441 |
| 27.1814 | 3.363423 |
| 27.3301 | 3.361439 |
| 27.4797 | 3.359489 |
| 27.6301 | 3.357572 |
| 27.7812 | 3.355686 |
| 27.9333 | 3.353832 |
| 28.0861 | 3.352009 |
| 28.2398 | 3.350216 |
| 28.3943 | 3.348452 |
| 28.5497 | 3.346717 |
| 28.7059 | 3.34501 |
| 28.863 | 3.343331 |
| 29.021 | 3.341679 |
| 29.1798 | 3.340053 |
| 29.3395 | 3.338453 |
| 29.5 | 3.336879 |
| 29.6614 | 3.335329 |
| 29.8237 | 3.333804 |
| 29.9869 | 3.332303 |
| 30.151 | 3.330825 |
| 30.316 | 3.32937 |
| 30.4819 | 3.327938 |
| 30.6487 | 3.326528 |
| 30.8164 | 3.32514 |
| 30.9851 | 3.323773 |
| 31.1546 | 3.322427 |
| 31.3251 | 3.321101 |
| 31.4965 | 3.319795 |
| 31.6689 | 3.318509 |
| 31.8422 | 3.317243 |
| 32.0164 | 3.315995 |
| 32.1916 | 3.314766 |
| 32.3678 | 3.313555 |
| 32.5449 | 3.312362 |
| 32.723 | 3.311187 |
| 32.902 | 3.310029 |
| 33.0821 | 3.308888 |
| 33.2631 | 3.307764 |
| 33.4451 | 3.306656 |
| 33.6281 | 3.305565 |
| 33.8122 | 3.304489 |
| 33.9972 | 3.303428 |
| 34.1832 | 3.302383 |
| 34.3703 | 3.301353 |
| 34.5583 | 3.300338 |
| 34.7475 | 3.299337 |
| 34.9376 | 3.29835 |
| 35.1288 | 3.297378 |
| 35.321 | 3.296419 |
| 35.5143 | 3.295473 |
| 35.7086 | 3.294541 |
| 35.904 | 3.293622 |
| 36.1005 | 3.292716 |
| 36.298 | 3.291822 |
| 36.4967 | 3.290941 |
| 36.6964 | 3.290072 |
| 36.8972 | 3.289215 |
| 37.0991 | 3.28837 |
| 37.3021 | 3.287536 |
| 37.5062 | 3.286714 |
| 37.7115 | 3.285903 |
| 37.9178 | 3.285103 |
| 38.1253 | 3.284314 |
| 38.3339 | 3.283536 |
| 38.5437 | 3.282769 |
| 38.7546 | 3.282011 |
| 38.9667 | 3.281264 |
| 39.1799 | 3.280527 |
| 39.3943 | 3.2798 |
| 39.6099 | 3.279083 |
| 39.8266 | 3.278375 |
| 40.0446 | 3.277676 |
| 40.2637 | 3.276987 |
| 40.484 | 3.276307 |
| 40.7056 | 3.275636 |
| 40.9283 | 3.274974 |
| 41.1523 | 3.27432 |
| 41.3775 | 3.273676 |
| 41.6039 | 3.273039 |
| 41.8316 | 3.272411 |
| 42.0605 | 3.271791 |
| 42.2906 | 3.27118 |
| 42.522 | 3.270576 |
| 42.7547 | 3.26998 |
| 42.9887 | 3.269392 |
| 43.2239 | 3.268811 |
| 43.4605 | 3.268238 |
| 43.6983 | 3.267672 |
| 43.9374 | 3.267114 |
| 44.1778 | 3.266562 |
| 44.4196 | 3.266018 |
| 44.6626 | 3.265481 |
| 44.907 | 3.264951 |
| 45.1528 | 3.264427 |
| 45.3999 | 3.26391 |
| 45.6483 | 3.2634 |
| 45.8981 | 3.262896 |
| 46.1492 | 3.262398 |
| 46.4018 | 3.261907 |
| 46.6557 | 3.261422 |
| 46.911 | 3.260943 |
| 47.1677 | 3.26047 |
| 47.4258 | 3.260003 |
| 47.6853 | 3.259542 |
| 47.9463 | 3.259086 |
| 48.2086 | 3.258637 |
| 48.4724 | 3.258193 |
| 48.7377 | 3.257754 |
| 49.0044 | 3.257321 |
| 49.2725 | 3.256893 |
| 49.5422 | 3.256471 |
| 49.8133 | 3.256054 |
| 50.0858 | 3.255642 |
| 50.3599 | 3.255235 |
| 50.6355 | 3.254833 |
| 50.9126 | 3.254436 |
| 51.1912 | 3.254044 |
| 51.4713 | 3.253657 |
| 51.753 | 3.253274 |
| 52.0362 | 3.252896 |
| 52.3209 | 3.252523 |
| 52.6072 | 3.252155 |
| 52.8951 | 3.251791 |
| 53.1845 | 3.251431 |
| 53.4756 | 3.251076 |
| 53.7682 | 3.250725 |
| 54.0624 | 3.250378 |
| 54.3583 | 3.250035 |
| 54.6557 | 3.249697 |
| 54.9548 | 3.249363 |
| 55.2555 | 3.249032 |
| 55.5579 | 3.248706 |
| 55.8619 | 3.248384 |
| 56.1676 | 3.248065 |
| 56.4749 | 3.247751 |
| 56.784 | 3.24744 |
| 57.0947 | 3.247133 |
| 57.4071 | 3.246829 |
| 57.7213 | 3.24653 |
| 58.0371 | 3.246233 |
| 58.3547 | 3.245941 |
| 58.674 | 3.245652 |
| 58.9951 | 3.245366 |
| 59.3179 | 3.245083 |
| 59.6425 | 3.244805 |
| 59.9689 | 3.244529 |
| 60.2971 | 3.244257 |
| 60.627 | 3.243987 |
| 60.9588 | 3.243721 |
| 61.2923 | 3.243459 |
| 61.6277 | 3.243199 |
| 61.965 | 3.242942 |
| 62.3041 | 3.242689 |
| 62.645 | 3.242438 |
| 62.9878 | 3.24219 |
| 63.3325 | 3.241946 |
| 63.679 | 3.241704 |
| 64.0275 | 3.241465 |
| 64.3778 | 3.241229 |
| 64.7301 | 3.240995 |
| 65.0843 | 3.240765 |
| 65.4405 | 3.240537 |
| 65.7986 | 3.240311 |
| 66.1586 | 3.240089 |
| 66.5207 | 3.239869 |
| 66.8847 | 3.239651 |
| 67.2507 | 3.239436 |
| 67.6187 | 3.239224 |
| 67.9887 | 3.239014 |
| 68.3607 | 3.238806 |
| 68.7348 | 3.238601 |
| 69.111 | 3.238398 |
| 69.4891 | 3.238198 |
| 69.8694 | 3.238 |
| 70.2517 | 3.237804 |
| 70.6361 | 3.23761 |
| 71.0227 | 3.237419 |
| 71.4113 | 3.23723 |
| 71.8021 | 3.237043 |
| 72.195 | 3.236859 |
| 72.5901 | 3.236676 |
| 72.9873 | 3.236496 |
| 73.3867 | 3.236317 |
| 73.7883 | 3.236141 |
| 74.192 | 3.235967 |
| 74.598 | 3.235794 |
| 75.0062 | 3.235624 |
| 75.4167 | 3.235456 |
| 75.8294 | 3.235289 |
| 76.2443 | 3.235125 |
| 76.6615 | 3.234962 |
| 77.081 | 3.234801 |
| 77.5028 | 3.234643 |
| 77.9269 | 3.234485 |
| 78.3534 | 3.23433 |
| 78.7821 | 3.234177 |
| 79.2132 | 3.234025 |
| 79.6467 | 3.233875 |
| 80.0825 | 3.233727 |
| 80.5207 | 3.23358 |
| 80.9614 | 3.233435 |
| 81.4044 | 3.233292 |
| 81.8498 | 3.23315 |
| 82.2977 | 3.23301 |
| 82.7481 | 3.232872 |
| 83.2009 | 3.232735 |
| 83.6562 | 3.232599 |
| 84.1139 | 3.232466 |
| 84.5742 | 3.232333 |
| 85.037 | 3.232203 |
| 85.5024 | 3.232073 |
| 85.9702 | 3.231946 |
| 86.4407 | 3.231819 |
| 86.9137 | 3.231694 |
| 87.3893 | 3.231571 |
| 87.8675 | 3.231449 |
| 88.3483 | 3.231328 |
| 88.8318 | 3.231209 |
| 89.3179 | 3.231091 |
| 89.8066 | 3.230974 |
| 90.2981 | 3.230859 |
| 90.7922 | 3.230745 |
| 91.289 | 3.230632 |
| 91.7885 | 3.23052 |
| 92.2908 | 3.23041 |
| 92.7958 | 3.230301 |
| 93.3036 | 3.230193 |
| 93.8142 | 3.230087 |
| 94.3276 | 3.229981 |
| 94.8437 | 3.229877 |
| 95.3627 | 3.229774 |
| 95.8846 | 3.229672 |
| 96.4093 | 3.229572 |
| 96.9368 | 3.229472 |
| 97.4673 | 3.229374 |
| 98.0006 | 3.229276 |
| 98.5369 | 3.22918 |
| 99.0761 | 3.229085 |
| 99.6183 | 3.228991 |
| 100.163 | 3.228898 |
| 100.711 | 3.228806 |
| 101.263 | 3.228715 |
| 101.817 | 3.228625 |
| 102.374 | 3.228536 |
| 102.934 | 3.228448 |
| 103.497 | 3.228361 |
| 104.064 | 3.228275 |
| 104.633 | 3.22819 |
| 105.206 | 3.228106 |
| 105.781 | 3.228023 |
| 106.36 | 3.227941 |
| 106.942 | 3.22786 |
| 107.527 | 3.227779 |
| 108.116 | 3.2277 |
| 108.707 | 3.227621 |
| 109.302 | 3.227543 |
| 109.9 | 3.227466 |
| 110.502 | 3.227391 |
| 111.107 | 3.227315 |
| 111.715 | 3.227241 |
| 112.326 | 3.227168 |
| 112.94 | 3.227095 |
| 113.559 | 3.227023 |
| 114.18 | 3.226952 |
| 114.805 | 3.226882 |
| 115.433 | 3.226812 |
| 116.065 | 3.226744 |
| 116.7 | 3.226676 |
| 117.338 | 3.226608 |
| 117.98 | 3.226542 |
| 118.626 | 3.226476 |
| 119.275 | 3.226411 |
| 119.928 | 3.226347 |
| 120.584 | 3.226283 |
| 121.244 | 3.226221 |
| 121.907 | 3.226159 |
| 122.574 | 3.226097 |
| 123.245 | 3.226036 |
| 123.92 | 3.225976 |
| 124.598 | 3.225917 |
| 125.28 | 3.225858 |
| 125.965 | 3.2258 |
| 126.654 | 3.225742 |
| 127.347 | 3.225686 |
| 128.044 | 3.225629 |
| 128.745 | 3.225574 |
| 129.45 | 3.225519 |
| 130.158 | 3.225464 |
| 130.87 | 3.225411 |
| 131.586 | 3.225358 |
| 132.306 | 3.225305 |
| 133.03 | 3.225253 |
| 133.758 | 3.225202 |
| 134.49 | 3.225151 |
| 135.226 | 3.2251 |
| 135.966 | 3.225051 |
| 136.71 | 3.225001 |
| 137.458 | 3.224953 |
| 138.21 | 3.224905 |
| 138.967 | 3.224857 |
| 139.727 | 3.22481 |
| 140.492 | 3.224764 |
| 141.261 | 3.224718 |
| 142.034 | 3.224672 |
| 142.811 | 3.224627 |
| 143.592 | 3.224583 |
| 144.378 | 3.224539 |
| 145.168 | 3.224495 |
| 145.962 | 3.224452 |
| 146.761 | 3.224409 |
| 147.564 | 3.224367 |
| 148.372 | 3.224326 |
| 149.184 | 3.224284 |
| 150 | 3.224244 |
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); Room temperature.