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

Range 0.4047–5 µm
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.

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 µm
n2−1=0.20075λ2λ2+12.07224+5.54861λ2λ2−0.02641+35.65066λ2λ2−1268.24708

Valid from 0.4047 to 5.0 µm.

Coefficients as stored
CiValue
C10.0
C20.20075
C3-12.07224
C45.54861
C50.02641
C635.65066
C71268.24708

Comments and conditions

4H-SiC (hexagonal crystal structure); Ordinary ray (o)

Conditions

direction
o

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(o) 0.405–5 µm: n and k versus wavelength
λ (µm)n
0.40472.759243
0.4072582.756358
0.4098322.753519
0.4124232.750727
0.4150292.747979
0.4176532.745275
0.4202932.742614
0.4229492.739995
0.4256232.737418
0.4283132.734881
0.431022.732385
0.4337442.729927
0.4364862.727508
0.4392452.725127
0.4420212.722783
0.4448152.720475
0.4476272.718203
0.4504562.715965
0.4533032.713762
0.4561692.711593
0.4590522.709457
0.4619542.707354
0.4648732.705282
0.4678122.703242
0.4707692.701233
0.4737442.699254
0.4767392.697304
0.4797522.695384
0.4827852.693493
0.4858362.69163
0.4889072.689794
0.4919972.687986
0.4951072.686204
0.4982362.684449
0.5013862.68272
0.5045552.681016
0.5077442.679337
0.5109532.677682
0.5141832.676052
0.5174332.674446
0.5207042.672862
0.5239952.671302
0.5273072.669764
0.530642.668249
0.5339942.666755
0.5373692.665283
0.5407662.663831
0.5441842.662401
0.5476232.660991
0.5510852.659601
0.5545682.65823
0.5580732.656879
0.5616012.655548
0.5651512.654235
0.5687232.65294
0.5723172.651664
0.5759352.650405
0.5795752.649165
0.5832392.647941
0.5869252.646735
0.5906352.645545
0.5943682.644372
0.5981252.643215
0.6019062.642074
0.605712.640949
0.6095392.639839
0.6133922.638745
0.6172692.637665
0.621172.6366
0.6250972.63555
0.6290482.634514
0.6330242.633493
0.6370252.632485
0.6410512.63149
0.6451032.63051
0.6491812.629542
0.6532842.628587
0.6574132.627646
0.6615692.626717
0.665752.6258
0.6699582.624895
0.6741932.624003
0.6784542.623122
0.6827432.622254
0.6870582.621396
0.6914012.62055
0.6957712.619715
0.7001692.618891
0.7045952.618078
0.7090482.617276
0.713532.616484
0.718042.615702
0.7225792.614931
0.7271462.614169
0.7317422.613418
0.7363672.612676
0.7410212.611944
0.7457052.611221
0.7504192.610507
0.7551622.609803
0.7599352.609107
0.7647382.608421
0.7695722.607743
0.7744362.607073
0.7793322.606412
0.7842572.60576
0.7892152.605116
0.7942032.604479
0.7992232.603851
0.8042752.603231
0.8093582.602618
0.8144742.602013
0.8196222.601415
0.8248032.600825
0.8300162.600242
0.8352632.599666
0.8405422.599097
0.8458552.598535
0.8512012.59798
0.8565822.597431
0.8619962.596889
0.8674442.596354
0.8729272.595825
0.8784452.595303
0.8839972.594786
0.8895852.594276
0.8952082.593772
0.9008662.593273
0.906562.592781
0.912292.592294
0.9180572.591813
0.923862.591337
0.9296992.590867
0.9355752.590402
0.9414892.589943
0.947442.589488
0.9534282.589039
0.9594552.588595
0.9655192.588156
0.9716222.587722
0.9777642.587292
0.9839442.586868
0.9901632.586447
0.9964222.586032
1.002722.585621
1.009062.585214
1.015442.584812
1.021852.584414
1.028312.58402
1.034812.58363
1.041352.583244
1.047942.582863
1.054562.582485
1.061222.582111
1.067932.581741
1.074682.581374
1.081482.581011
1.088312.580652
1.095192.580296
1.102112.579944
1.109082.579595
1.116092.579249
1.123142.578906
1.130242.578567
1.137392.578231
1.144582.577898
1.151812.577568
1.159092.57724
1.166422.576916
1.173792.576595
1.181212.576276
1.188682.57596
1.196192.575646
1.203752.575335
1.211362.575027
1.219012.574721
1.226722.574418
1.234472.574117
1.242282.573818
1.250132.573521
1.258032.573227
1.265982.572935
1.273982.572644
1.282042.572356
1.290142.57207
1.298292.571786
1.30652.571503
1.314762.571223
1.323072.570944
1.331432.570667
1.339852.570391
1.348322.570117
1.356842.569845
1.365422.569574
1.374052.569304
1.382732.569036
1.391472.56877
1.400272.568504
1.409122.56824
1.418022.567977
1.426992.567715
1.436012.567454
1.445082.567195
1.454222.566936
1.463412.566678
1.472662.566421
1.481972.566165
1.491332.565909
1.500762.565655
1.510252.565401
1.519792.565147
1.52942.564895
1.539072.564642
1.548792.564391
1.558582.564139
1.568432.563888
1.578352.563638
1.588322.563387
1.598362.563137
1.608472.562887
1.618632.562637
1.628862.562387
1.639162.562138
1.649522.561888
1.659952.561638
1.670442.561388
1.6812.561137
1.691622.560887
1.702322.560636
1.713082.560385
1.72392.560133
1.73482.559881
1.745762.559629
1.75682.559376
1.76792.559122
1.779082.558868
1.790322.558612
1.801642.558356
1.813032.5581
1.824492.557842
1.836022.557583
1.847622.557324
1.85932.557063
1.871052.556801
1.882882.556538
1.894782.556274
1.906762.556009
1.918812.555742
1.930942.555474
1.943142.555204
1.955432.554933
1.967792.55466
1.980222.554385
1.992742.554109
2.005342.553831
2.018012.553551
2.030772.553269
2.04362.552985
2.056522.5527
2.069522.552412
2.08262.552122
2.095762.55183
2.109012.551535
2.122342.551238
2.135762.550939
2.149262.550637
2.162842.550332
2.176512.550025
2.190272.549716
2.204112.549403
2.218042.549088
2.232062.548769
2.246172.548448
2.260372.548124
2.274662.547796
2.289032.547465
2.30352.547131
2.318062.546794
2.332712.546453
2.347462.546108
2.36232.54576
2.377232.545409
2.392252.545053
2.407382.544694
2.422592.54433
2.43792.543963
2.453312.543591
2.468822.543216
2.484432.542836
2.500132.542452
2.515932.542063
2.531832.541669
2.547842.541271
2.563942.540869
2.580152.540461
2.596462.540049
2.612872.539631
2.629382.539209
2.6462.538781
2.662732.538348
2.679562.537909
2.696492.537465
2.713542.537015
2.730692.53656
2.747952.536099
2.765322.535631
2.78282.535158
2.800392.534679
2.818092.534193
2.83592.533701
2.853832.533203
2.871862.532698
2.890022.532186
2.908282.531667
2.926672.531142
2.945162.530609
2.963782.530069
2.982512.529522
3.001372.528968
3.020342.528405
3.039432.527836
3.058642.527258
3.077972.526672
3.097432.526079
3.117012.525477
3.136712.524867
3.156532.524248
3.176492.523621
3.196562.522984
3.216772.522339
3.23712.521685
3.257562.521022
3.278152.520349
3.298872.519667
3.319722.518975
3.340712.518274
3.361822.517562
3.383072.51684
3.404452.516109
3.425972.515366
3.447632.514613
3.469422.513849
3.491352.513074
3.513422.512289
3.535622.511491
3.557972.510683
3.580462.509862
3.603092.50903
3.625872.508186
3.648792.50733
3.671852.506461
3.695062.50558
3.718412.504686
3.741922.503779
3.765572.502859
3.789372.501925
3.813322.500978
3.837422.500017
3.861682.499042
3.886092.498053
3.910652.497049
3.935372.496031
3.960242.494998
3.985282.49395
4.010472.492887
4.035822.491808
4.061322.490713
4.0872.489602
4.112832.488476
4.138822.487332
4.164992.486172
4.191312.484994
4.21782.4838
4.244462.482588
4.271292.481358
4.298292.48011
4.325462.478844
4.35282.477559
4.380312.476255
4.4082.474932
4.435862.47359
4.46392.472228
4.492112.470846
4.520512.469443
4.549082.46802
4.577832.466576
4.606772.46511
4.635892.463623
4.665192.462114
4.694682.460583
4.724352.459029
4.754212.457452
4.784262.455851
4.81452.454227
4.844932.452579
4.875562.450907
4.906372.44921
4.937392.447488
4.968592.44574
52.443966

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
—