Optical constants
Refractive index of SiC (Silicon carbide)
Fischer et al. 2017: 4H-SiC; n(o) 17–150 µm
- Data
- formula 2
- Range
- 17–150 µm
- Temperature
- 293 K
- 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
- 3.14833
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.91198
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00126562 µm⁻¹
- Group index ng
- 3.21224
- Group velocity dispersion
- 18641.2 fs²/mm
- Dispersion parameter D
- -13.7686 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(o) 17–150 µm
sic = ls.fetch_refractiveindex("main", "SiC", "Fischer-o", 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_c72193fa2edf/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-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=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_c72193fa2edf/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 | 6.055 |
| C2 | 2.669 |
| C3 | 167.8 |
Comments and conditions
Conditions
- temperature
- 293 K
- direction
- o
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 | 3.663223 |
| 17.093 | 3.650338 |
| 17.1866 | 3.637921 |
| 17.2806 | 3.625946 |
| 17.3752 | 3.614391 |
| 17.4702 | 3.603234 |
| 17.5658 | 3.592456 |
| 17.662 | 3.582038 |
| 17.7586 | 3.571963 |
| 17.8558 | 3.562214 |
| 17.9535 | 3.552777 |
| 18.0517 | 3.543638 |
| 18.1505 | 3.534782 |
| 18.2499 | 3.526198 |
| 18.3497 | 3.517873 |
| 18.4501 | 3.509796 |
| 18.5511 | 3.501957 |
| 18.6526 | 3.494345 |
| 18.7547 | 3.486952 |
| 18.8573 | 3.479769 |
| 18.9605 | 3.472786 |
| 19.0642 | 3.465997 |
| 19.1686 | 3.459393 |
| 19.2735 | 3.452967 |
| 19.3789 | 3.446713 |
| 19.485 | 3.440624 |
| 19.5916 | 3.434694 |
| 19.6988 | 3.428918 |
| 19.8066 | 3.423288 |
| 19.915 | 3.417802 |
| 20.024 | 3.412452 |
| 20.1335 | 3.407235 |
| 20.2437 | 3.402146 |
| 20.3545 | 3.39718 |
| 20.4659 | 3.392334 |
| 20.5779 | 3.387603 |
| 20.6905 | 3.382984 |
| 20.8037 | 3.378472 |
| 20.9175 | 3.374065 |
| 21.032 | 3.36976 |
| 21.1471 | 3.365552 |
| 21.2628 | 3.361438 |
| 21.3791 | 3.357417 |
| 21.4961 | 3.353485 |
| 21.6138 | 3.349639 |
| 21.732 | 3.345877 |
| 21.851 | 3.342196 |
| 21.9705 | 3.338593 |
| 22.0907 | 3.335068 |
| 22.2116 | 3.331617 |
| 22.3332 | 3.328238 |
| 22.4554 | 3.324929 |
| 22.5783 | 3.321688 |
| 22.7018 | 3.318514 |
| 22.826 | 3.315404 |
| 22.9509 | 3.312356 |
| 23.0765 | 3.30937 |
| 23.2028 | 3.306443 |
| 23.3298 | 3.303573 |
| 23.4574 | 3.30076 |
| 23.5858 | 3.298002 |
| 23.7149 | 3.295297 |
| 23.8446 | 3.292644 |
| 23.9751 | 3.290041 |
| 24.1063 | 3.287488 |
| 24.2382 | 3.284983 |
| 24.3709 | 3.282525 |
| 24.5042 | 3.280112 |
| 24.6383 | 3.277744 |
| 24.7731 | 3.275419 |
| 24.9087 | 3.273137 |
| 25.045 | 3.270897 |
| 25.1821 | 3.268697 |
| 25.3199 | 3.266536 |
| 25.4584 | 3.264414 |
| 25.5977 | 3.262329 |
| 25.7378 | 3.260281 |
| 25.8786 | 3.258269 |
| 26.0202 | 3.256293 |
| 26.1626 | 3.25435 |
| 26.3058 | 3.252441 |
| 26.4497 | 3.250565 |
| 26.5945 | 3.248721 |
| 26.74 | 3.246908 |
| 26.8863 | 3.245126 |
| 27.0335 | 3.243374 |
| 27.1814 | 3.241651 |
| 27.3301 | 3.239957 |
| 27.4797 | 3.238291 |
| 27.6301 | 3.236653 |
| 27.7812 | 3.235041 |
| 27.9333 | 3.233456 |
| 28.0861 | 3.231896 |
| 28.2398 | 3.230362 |
| 28.3943 | 3.228853 |
| 28.5497 | 3.227368 |
| 28.7059 | 3.225906 |
| 28.863 | 3.224468 |
| 29.021 | 3.223052 |
| 29.1798 | 3.221659 |
| 29.3395 | 3.220288 |
| 29.5 | 3.218939 |
| 29.6614 | 3.21761 |
| 29.8237 | 3.216302 |
| 29.9869 | 3.215014 |
| 30.151 | 3.213746 |
| 30.316 | 3.212498 |
| 30.4819 | 3.211268 |
| 30.6487 | 3.210058 |
| 30.8164 | 3.208865 |
| 30.9851 | 3.207691 |
| 31.1546 | 3.206534 |
| 31.3251 | 3.205395 |
| 31.4965 | 3.204273 |
| 31.6689 | 3.203168 |
| 31.8422 | 3.202078 |
| 32.0164 | 3.201005 |
| 32.1916 | 3.199948 |
| 32.3678 | 3.198907 |
| 32.5449 | 3.19788 |
| 32.723 | 3.196869 |
| 32.902 | 3.195872 |
| 33.0821 | 3.19489 |
| 33.2631 | 3.193922 |
| 33.4451 | 3.192968 |
| 33.6281 | 3.192028 |
| 33.8122 | 3.191101 |
| 33.9972 | 3.190187 |
| 34.1832 | 3.189287 |
| 34.3703 | 3.188399 |
| 34.5583 | 3.187523 |
| 34.7475 | 3.18666 |
| 34.9376 | 3.18581 |
| 35.1288 | 3.184971 |
| 35.321 | 3.184144 |
| 35.5143 | 3.183328 |
| 35.7086 | 3.182524 |
| 35.904 | 3.181731 |
| 36.1005 | 3.180949 |
| 36.298 | 3.180177 |
| 36.4967 | 3.179417 |
| 36.6964 | 3.178666 |
| 36.8972 | 3.177926 |
| 37.0991 | 3.177196 |
| 37.3021 | 3.176476 |
| 37.5062 | 3.175766 |
| 37.7115 | 3.175066 |
| 37.9178 | 3.174375 |
| 38.1253 | 3.173693 |
| 38.3339 | 3.17302 |
| 38.5437 | 3.172357 |
| 38.7546 | 3.171702 |
| 38.9667 | 3.171056 |
| 39.1799 | 3.170419 |
| 39.3943 | 3.16979 |
| 39.6099 | 3.16917 |
| 39.8266 | 3.168558 |
| 40.0446 | 3.167953 |
| 40.2637 | 3.167357 |
| 40.484 | 3.166769 |
| 40.7056 | 3.166188 |
| 40.9283 | 3.165615 |
| 41.1523 | 3.16505 |
| 41.3775 | 3.164492 |
| 41.6039 | 3.163941 |
| 41.8316 | 3.163397 |
| 42.0605 | 3.162861 |
| 42.2906 | 3.162331 |
| 42.522 | 3.161808 |
| 42.7547 | 3.161292 |
| 42.9887 | 3.160783 |
| 43.2239 | 3.16028 |
| 43.4605 | 3.159783 |
| 43.6983 | 3.159293 |
| 43.9374 | 3.158809 |
| 44.1778 | 3.158332 |
| 44.4196 | 3.15786 |
| 44.6626 | 3.157394 |
| 44.907 | 3.156935 |
| 45.1528 | 3.156481 |
| 45.3999 | 3.156033 |
| 45.6483 | 3.15559 |
| 45.8981 | 3.155153 |
| 46.1492 | 3.154722 |
| 46.4018 | 3.154296 |
| 46.6557 | 3.153876 |
| 46.911 | 3.15346 |
| 47.1677 | 3.15305 |
| 47.4258 | 3.152645 |
| 47.6853 | 3.152245 |
| 47.9463 | 3.15185 |
| 48.2086 | 3.15146 |
| 48.4724 | 3.151075 |
| 48.7377 | 3.150694 |
| 49.0044 | 3.150319 |
| 49.2725 | 3.149947 |
| 49.5422 | 3.149581 |
| 49.8133 | 3.149219 |
| 50.0858 | 3.148861 |
| 50.3599 | 3.148508 |
| 50.6355 | 3.148159 |
| 50.9126 | 3.147815 |
| 51.1912 | 3.147474 |
| 51.4713 | 3.147138 |
| 51.753 | 3.146806 |
| 52.0362 | 3.146478 |
| 52.3209 | 3.146154 |
| 52.6072 | 3.145834 |
| 52.8951 | 3.145518 |
| 53.1845 | 3.145205 |
| 53.4756 | 3.144897 |
| 53.7682 | 3.144592 |
| 54.0624 | 3.144291 |
| 54.3583 | 3.143993 |
| 54.6557 | 3.143699 |
| 54.9548 | 3.143409 |
| 55.2555 | 3.143122 |
| 55.5579 | 3.142839 |
| 55.8619 | 3.142559 |
| 56.1676 | 3.142282 |
| 56.4749 | 3.142009 |
| 56.784 | 3.141738 |
| 57.0947 | 3.141472 |
| 57.4071 | 3.141208 |
| 57.7213 | 3.140947 |
| 58.0371 | 3.14069 |
| 58.3547 | 3.140436 |
| 58.674 | 3.140184 |
| 58.9951 | 3.139936 |
| 59.3179 | 3.13969 |
| 59.6425 | 3.139448 |
| 59.9689 | 3.139208 |
| 60.2971 | 3.138972 |
| 60.627 | 3.138738 |
| 60.9588 | 3.138506 |
| 61.2923 | 3.138278 |
| 61.6277 | 3.138052 |
| 61.965 | 3.137829 |
| 62.3041 | 3.137608 |
| 62.645 | 3.137391 |
| 62.9878 | 3.137175 |
| 63.3325 | 3.136962 |
| 63.679 | 3.136752 |
| 64.0275 | 3.136544 |
| 64.3778 | 3.136339 |
| 64.7301 | 3.136136 |
| 65.0843 | 3.135935 |
| 65.4405 | 3.135737 |
| 65.7986 | 3.135541 |
| 66.1586 | 3.135347 |
| 66.5207 | 3.135156 |
| 66.8847 | 3.134966 |
| 67.2507 | 3.134779 |
| 67.6187 | 3.134594 |
| 67.9887 | 3.134412 |
| 68.3607 | 3.134231 |
| 68.7348 | 3.134053 |
| 69.111 | 3.133876 |
| 69.4891 | 3.133702 |
| 69.8694 | 3.13353 |
| 70.2517 | 3.133359 |
| 70.6361 | 3.133191 |
| 71.0227 | 3.133024 |
| 71.4113 | 3.13286 |
| 71.8021 | 3.132697 |
| 72.195 | 3.132536 |
| 72.5901 | 3.132378 |
| 72.9873 | 3.132221 |
| 73.3867 | 3.132065 |
| 73.7883 | 3.131912 |
| 74.192 | 3.13176 |
| 74.598 | 3.13161 |
| 75.0062 | 3.131462 |
| 75.4167 | 3.131315 |
| 75.8294 | 3.13117 |
| 76.2443 | 3.131027 |
| 76.6615 | 3.130886 |
| 77.081 | 3.130746 |
| 77.5028 | 3.130607 |
| 77.9269 | 3.130471 |
| 78.3534 | 3.130335 |
| 78.7821 | 3.130202 |
| 79.2132 | 3.13007 |
| 79.6467 | 3.129939 |
| 80.0825 | 3.12981 |
| 80.5207 | 3.129682 |
| 80.9614 | 3.129556 |
| 81.4044 | 3.129431 |
| 81.8498 | 3.129308 |
| 82.2977 | 3.129186 |
| 82.7481 | 3.129065 |
| 83.2009 | 3.128946 |
| 83.6562 | 3.128828 |
| 84.1139 | 3.128712 |
| 84.5742 | 3.128597 |
| 85.037 | 3.128483 |
| 85.5024 | 3.12837 |
| 85.9702 | 3.128259 |
| 86.4407 | 3.128149 |
| 86.9137 | 3.12804 |
| 87.3893 | 3.127932 |
| 87.8675 | 3.127826 |
| 88.3483 | 3.127721 |
| 88.8318 | 3.127617 |
| 89.3179 | 3.127514 |
| 89.8066 | 3.127413 |
| 90.2981 | 3.127312 |
| 90.7922 | 3.127213 |
| 91.289 | 3.127114 |
| 91.7885 | 3.127017 |
| 92.2908 | 3.126921 |
| 92.7958 | 3.126826 |
| 93.3036 | 3.126732 |
| 93.8142 | 3.12664 |
| 94.3276 | 3.126548 |
| 94.8437 | 3.126457 |
| 95.3627 | 3.126367 |
| 95.8846 | 3.126279 |
| 96.4093 | 3.126191 |
| 96.9368 | 3.126104 |
| 97.4673 | 3.126018 |
| 98.0006 | 3.125934 |
| 98.5369 | 3.12585 |
| 99.0761 | 3.125767 |
| 99.6183 | 3.125685 |
| 100.163 | 3.125604 |
| 100.711 | 3.125524 |
| 101.263 | 3.125444 |
| 101.817 | 3.125366 |
| 102.374 | 3.125289 |
| 102.934 | 3.125212 |
| 103.497 | 3.125136 |
| 104.064 | 3.125061 |
| 104.633 | 3.124987 |
| 105.206 | 3.124914 |
| 105.781 | 3.124841 |
| 106.36 | 3.12477 |
| 106.942 | 3.124699 |
| 107.527 | 3.124629 |
| 108.116 | 3.12456 |
| 108.707 | 3.124491 |
| 109.302 | 3.124423 |
| 109.9 | 3.124356 |
| 110.502 | 3.12429 |
| 111.107 | 3.124225 |
| 111.715 | 3.12416 |
| 112.326 | 3.124096 |
| 112.94 | 3.124032 |
| 113.559 | 3.12397 |
| 114.18 | 3.123908 |
| 114.805 | 3.123847 |
| 115.433 | 3.123786 |
| 116.065 | 3.123726 |
| 116.7 | 3.123667 |
| 117.338 | 3.123608 |
| 117.98 | 3.123551 |
| 118.626 | 3.123493 |
| 119.275 | 3.123437 |
| 119.928 | 3.123381 |
| 120.584 | 3.123325 |
| 121.244 | 3.12327 |
| 121.907 | 3.123216 |
| 122.574 | 3.123163 |
| 123.245 | 3.12311 |
| 123.92 | 3.123057 |
| 124.598 | 3.123006 |
| 125.28 | 3.122954 |
| 125.965 | 3.122904 |
| 126.654 | 3.122854 |
| 127.347 | 3.122804 |
| 128.044 | 3.122755 |
| 128.745 | 3.122707 |
| 129.45 | 3.122659 |
| 130.158 | 3.122611 |
| 130.87 | 3.122564 |
| 131.586 | 3.122518 |
| 132.306 | 3.122472 |
| 133.03 | 3.122427 |
| 133.758 | 3.122382 |
| 134.49 | 3.122338 |
| 135.226 | 3.122294 |
| 135.966 | 3.12225 |
| 136.71 | 3.122208 |
| 137.458 | 3.122165 |
| 138.21 | 3.122123 |
| 138.967 | 3.122082 |
| 139.727 | 3.122041 |
| 140.492 | 3.122 |
| 141.261 | 3.12196 |
| 142.034 | 3.12192 |
| 142.811 | 3.121881 |
| 143.592 | 3.121842 |
| 144.378 | 3.121804 |
| 145.168 | 3.121766 |
| 145.962 | 3.121728 |
| 146.761 | 3.121691 |
| 147.564 | 3.121655 |
| 148.372 | 3.121618 |
| 149.184 | 3.121582 |
| 150 | 3.121547 |
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); Room temperature.