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

Range 0.4047–2.325 µm
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.

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 µm
n2=6.79485+0.15558λ0.0λ2−0.035351.0−0.02296⁢λ2.0

Valid from 0.4047 to 2.325 µm.

Coefficients as stored
CiValue
C16.79485
C20.15558
C30.0
C40.03535
C51.0
C60.0
C70.0
C80.0
C91.0
C10-0.02296
C112.0

Comments and conditions

4H-SiC (hexagonal crystal structure); Extraordinary ray (e)

Conditions

direction
e

References

S. Wang, M. Zhan, G. Wang, H. Xuan, W. Zhang, C. Liu, C. Xu, Y. Liu, Z. Wei, X. Chen. 4H-SiC: A new nonlinear material for midinfrared lasers. Laser Photonics Rev. 7, 831–838 (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
SiC (Silicon carbide), Wang et al. 2013: 4H-SiC; n(e) 0.405–2.33 µm: n and k versus wavelength
λ (µm)n
0.40472.828864
0.4064772.82648
0.4082622.824126
0.4100552.821802
0.4118562.819507
0.4136642.817241
0.4154812.815002
0.4173052.812791
0.4191382.810608
0.4209792.808451
0.4228272.80632
0.4246842.804216
0.4265492.802137
0.4284222.800083
0.4303042.798054
0.4321932.796049
0.4340912.794069
0.4359972.792112
0.4379122.790179
0.4398352.788268
0.4417672.78638
0.4437072.784515
0.4456552.782671
0.4476122.780849
0.4495782.779048
0.4515522.777269
0.4535352.77551
0.4555272.773772
0.4575272.772053
0.4595362.770355
0.4615542.768676
0.4635812.767016
0.4656172.765376
0.4676612.763754
0.4697152.762151
0.4717782.760565
0.473852.758998
0.475932.757449
0.478022.755917
0.480122.754402
0.4822282.752904
0.4843462.751423
0.4864732.749958
0.4886092.74851
0.4907552.747078
0.492912.745662
0.4950742.744261
0.4972482.742876
0.4994322.741506
0.5016252.740151
0.5038282.73881
0.5060412.737485
0.5082632.736174
0.5104952.734877
0.5127362.733594
0.5149882.732325
0.517252.73107
0.5195212.729828
0.5218022.728599
0.5240942.727384
0.5263952.726182
0.5287072.724992
0.5310292.723815
0.5333612.722651
0.5357032.721499
0.5380552.720359
0.5404182.719231
0.5427912.718115
0.5451752.717011
0.5475692.715918
0.5499742.714837
0.5523892.713767
0.5548152.712708
0.5572512.71166
0.5596982.710623
0.5621562.709596
0.5646252.70858
0.5671042.707575
0.5695952.70658
0.5720962.705595
0.5746082.704621
0.5771312.703656
0.5796662.702701
0.5822112.701756
0.5847682.70082
0.5873362.699894
0.5899152.698977
0.5925062.698069
0.5951082.697171
0.5977212.696282
0.6003462.695401
0.6029822.694529
0.605632.693666
0.608292.692812
0.6109612.691966
0.6136442.691128
0.6163392.690299
0.6190452.689478
0.6217642.688665
0.6244942.68786
0.6272372.687063
0.6299912.686273
0.6327582.685492
0.6355362.684718
0.6383272.683951
0.641132.683192
0.6439462.682441
0.6467742.681696
0.6496142.680959
0.6524672.680229
0.6553322.679506
0.658212.67879
0.66112.678081
0.6640032.677378
0.6669192.676682
0.6698482.675993
0.6727892.675311
0.6757442.674634
0.6787112.673965
0.6816922.673301
0.6846852.672644
0.6876922.671993
0.6907122.671348
0.6937452.670709
0.6967922.670076
0.6998522.669449
0.7029252.668828
0.7060122.668212
0.7091122.667603
0.7122262.666998
0.7153542.6664
0.7184952.665807
0.721652.665219
0.7248192.664637
0.7280022.66406
0.7311992.663488
0.734412.662922
0.7376352.66236
0.7408752.661804
0.7441282.661253
0.7473962.660706
0.7506782.660165
0.7539742.659628
0.7572852.659097
0.7606112.65857
0.7639512.658047
0.7673062.657529
0.7706752.657016
0.774062.656508
0.7774592.656004
0.7808732.655504
0.7843022.655008
0.7877462.654517
0.7912062.654031
0.794682.653548
0.798172.65307
0.8016752.652596
0.8051962.652125
0.8087312.651659
0.8122832.651197
0.815852.650739
0.8194332.650285
0.8230312.649834
0.8266452.649388
0.8302762.648945
0.8339222.648506
0.8375842.64807
0.8412622.647639
0.8449562.647211
0.8486672.646786
0.8523932.646365
0.8561372.645947
0.8598962.645533
0.8636722.645122
0.8674652.644715
0.8712752.644311
0.8751012.64391
0.8789442.643512
0.8828032.643118
0.886682.642727
0.8905742.642338
0.8944852.641953
0.8984132.641571
0.9023582.641193
0.9063212.640817
0.9103012.640444
0.9142982.640074
0.9183132.639706
0.9223462.639342
0.9263962.63898
0.9304642.638622
0.934552.638266
0.9386542.637912
0.9427762.637562
0.9469162.637214
0.9510752.636868
0.9552512.636526
0.9594462.636185
0.963662.635848
0.9678912.635513
0.9721422.63518
0.9764112.63485
0.9806992.634522
0.9850052.634196
0.9893312.633873
0.9936752.633552
0.9980392.633234
1.002422.632917
1.006822.632603
1.011252.632291
1.015692.631982
1.020152.631674
1.024632.631369
1.029132.631065
1.033642.630764
1.038182.630465
1.042742.630167
1.047322.629872
1.051922.629579
1.056542.629287
1.061182.628998
1.065842.62871
1.070522.628425
1.075222.628141
1.079942.627859
1.084692.627578
1.089452.6273
1.094232.627023
1.099042.626748
1.103872.626474
1.108712.626203
1.113582.625932
1.118472.625664
1.123382.625397
1.128322.625132
1.133272.624868
1.138252.624605
1.143252.624345
1.148272.624085
1.153312.623827
1.158372.623571
1.163462.623316
1.168572.623062
1.17372.62281
1.178862.622559
1.184032.62231
1.189232.622061
1.194452.621814
1.19972.621569
1.204972.621324
1.210262.621081
1.215572.620839
1.220912.620598
1.226272.620358
1.231662.620119
1.237072.619882
1.24252.619646
1.247962.61941
1.253442.619176
1.258942.618943
1.264472.618711
1.270022.618479
1.27562.618249
1.28122.61802
1.286832.617792
1.292482.617564
1.298152.617338
1.303862.617112
1.309582.616887
1.315332.616664
1.321112.616441
1.326912.616218
1.332742.615997
1.338592.615776
1.344472.615556
1.350372.615337
1.35632.615119
1.362262.614901
1.368242.614684
1.374252.614468
1.380282.614252
1.386342.614037
1.392432.613822
1.398552.613608
1.404692.613395
1.410862.613182
1.417052.61297
1.423282.612758
1.429532.612547
1.43582.612337
1.442112.612126
1.448442.611917
1.45482.611707
1.461192.611498
1.467612.61129
1.474052.611082
1.480532.610874
1.487032.610667
1.493562.61046
1.500122.610253
1.50672.610047
1.513322.609841
1.519972.609635
1.526642.609429
1.533342.609224
1.540082.609019
1.546842.608814
1.553632.608609
1.560462.608405
1.567312.6082
1.574192.607996
1.58112.607792
1.588052.607588
1.595022.607384
1.602032.60718
1.609062.606977
1.616132.606773
1.623222.606569
1.630352.606366
1.637512.606162
1.64472.605958
1.651932.605755
1.659182.605551
1.666472.605347
1.673782.605143
1.681132.604939
1.688522.604735
1.695932.60453
1.703382.604326
1.710862.604121
1.718372.603916
1.725922.603711
1.73352.603506
1.741112.603301
1.748762.603095
1.756442.602889
1.764152.602683
1.77192.602476
1.779682.602269
1.787492.602062
1.795342.601855
1.803232.601647
1.811142.601438
1.81912.60123
1.827092.601021
1.835112.600811
1.843172.600601
1.851262.600391
1.859392.60018
1.867562.599968
1.875762.599756
1.8842.599544
1.892272.599331
1.900582.599117
1.908922.598903
1.917312.598688
1.925732.598473
1.934182.598257
1.942682.59804
1.951212.597823
1.959782.597605
1.968382.597386
1.977032.597167
1.985712.596947
1.994432.596726
2.003192.596504
2.011982.596282
2.020822.596058
2.029692.595834
2.038612.595609
2.047562.595383
2.056552.595157
2.065582.594929
2.074652.594701
2.083762.594471
2.092912.594241
2.10212.59401
2.111342.593777
2.120612.593544
2.129922.59331
2.139272.593074
2.148672.592838
2.15812.5926
2.167582.592362
2.17712.592122
2.186662.591881
2.196262.591639
2.205912.591396
2.215592.591152
2.225322.590906
2.23512.590659
2.244912.590411
2.254772.590162
2.264672.589911
2.274622.589659
2.28462.589406
2.294642.589151
2.304712.588895
2.314832.588638
2.3252.588379

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—