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

Range 17–150 µm
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.

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=6.055+2.669λ2λ2−167.8

Valid from 17.0 to 150.0 µm.

Coefficients as stored
CiValue
C16.055
C22.669
C3167.8

Comments and conditions

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

Conditions

temperature
293 K
direction
o

References

M. P. Fischer, J. Bühler, G. Fitzky, T. Kurihara, S. Eggert, A. Leitenstorfer, D. Brida. Coherent field transients below 15 THz from phase-matched difference frequency generation in 4H-SiC. Opt. Lett. 42, 2687-2690 (2017)
  • 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
SiC (Silicon carbide), Fischer et al. 2017: 4H-SiC; n(o) 17–150 µm: n and k versus wavelength
λ (µm)n
173.663223
17.0933.650338
17.18663.637921
17.28063.625946
17.37523.614391
17.47023.603234
17.56583.592456
17.6623.582038
17.75863.571963
17.85583.562214
17.95353.552777
18.05173.543638
18.15053.534782
18.24993.526198
18.34973.517873
18.45013.509796
18.55113.501957
18.65263.494345
18.75473.486952
18.85733.479769
18.96053.472786
19.06423.465997
19.16863.459393
19.27353.452967
19.37893.446713
19.4853.440624
19.59163.434694
19.69883.428918
19.80663.423288
19.9153.417802
20.0243.412452
20.13353.407235
20.24373.402146
20.35453.39718
20.46593.392334
20.57793.387603
20.69053.382984
20.80373.378472
20.91753.374065
21.0323.36976
21.14713.365552
21.26283.361438
21.37913.357417
21.49613.353485
21.61383.349639
21.7323.345877
21.8513.342196
21.97053.338593
22.09073.335068
22.21163.331617
22.33323.328238
22.45543.324929
22.57833.321688
22.70183.318514
22.8263.315404
22.95093.312356
23.07653.30937
23.20283.306443
23.32983.303573
23.45743.30076
23.58583.298002
23.71493.295297
23.84463.292644
23.97513.290041
24.10633.287488
24.23823.284983
24.37093.282525
24.50423.280112
24.63833.277744
24.77313.275419
24.90873.273137
25.0453.270897
25.18213.268697
25.31993.266536
25.45843.264414
25.59773.262329
25.73783.260281
25.87863.258269
26.02023.256293
26.16263.25435
26.30583.252441
26.44973.250565
26.59453.248721
26.743.246908
26.88633.245126
27.03353.243374
27.18143.241651
27.33013.239957
27.47973.238291
27.63013.236653
27.78123.235041
27.93333.233456
28.08613.231896
28.23983.230362
28.39433.228853
28.54973.227368
28.70593.225906
28.8633.224468
29.0213.223052
29.17983.221659
29.33953.220288
29.53.218939
29.66143.21761
29.82373.216302
29.98693.215014
30.1513.213746
30.3163.212498
30.48193.211268
30.64873.210058
30.81643.208865
30.98513.207691
31.15463.206534
31.32513.205395
31.49653.204273
31.66893.203168
31.84223.202078
32.01643.201005
32.19163.199948
32.36783.198907
32.54493.19788
32.7233.196869
32.9023.195872
33.08213.19489
33.26313.193922
33.44513.192968
33.62813.192028
33.81223.191101
33.99723.190187
34.18323.189287
34.37033.188399
34.55833.187523
34.74753.18666
34.93763.18581
35.12883.184971
35.3213.184144
35.51433.183328
35.70863.182524
35.9043.181731
36.10053.180949
36.2983.180177
36.49673.179417
36.69643.178666
36.89723.177926
37.09913.177196
37.30213.176476
37.50623.175766
37.71153.175066
37.91783.174375
38.12533.173693
38.33393.17302
38.54373.172357
38.75463.171702
38.96673.171056
39.17993.170419
39.39433.16979
39.60993.16917
39.82663.168558
40.04463.167953
40.26373.167357
40.4843.166769
40.70563.166188
40.92833.165615
41.15233.16505
41.37753.164492
41.60393.163941
41.83163.163397
42.06053.162861
42.29063.162331
42.5223.161808
42.75473.161292
42.98873.160783
43.22393.16028
43.46053.159783
43.69833.159293
43.93743.158809
44.17783.158332
44.41963.15786
44.66263.157394
44.9073.156935
45.15283.156481
45.39993.156033
45.64833.15559
45.89813.155153
46.14923.154722
46.40183.154296
46.65573.153876
46.9113.15346
47.16773.15305
47.42583.152645
47.68533.152245
47.94633.15185
48.20863.15146
48.47243.151075
48.73773.150694
49.00443.150319
49.27253.149947
49.54223.149581
49.81333.149219
50.08583.148861
50.35993.148508
50.63553.148159
50.91263.147815
51.19123.147474
51.47133.147138
51.7533.146806
52.03623.146478
52.32093.146154
52.60723.145834
52.89513.145518
53.18453.145205
53.47563.144897
53.76823.144592
54.06243.144291
54.35833.143993
54.65573.143699
54.95483.143409
55.25553.143122
55.55793.142839
55.86193.142559
56.16763.142282
56.47493.142009
56.7843.141738
57.09473.141472
57.40713.141208
57.72133.140947
58.03713.14069
58.35473.140436
58.6743.140184
58.99513.139936
59.31793.13969
59.64253.139448
59.96893.139208
60.29713.138972
60.6273.138738
60.95883.138506
61.29233.138278
61.62773.138052
61.9653.137829
62.30413.137608
62.6453.137391
62.98783.137175
63.33253.136962
63.6793.136752
64.02753.136544
64.37783.136339
64.73013.136136
65.08433.135935
65.44053.135737
65.79863.135541
66.15863.135347
66.52073.135156
66.88473.134966
67.25073.134779
67.61873.134594
67.98873.134412
68.36073.134231
68.73483.134053
69.1113.133876
69.48913.133702
69.86943.13353
70.25173.133359
70.63613.133191
71.02273.133024
71.41133.13286
71.80213.132697
72.1953.132536
72.59013.132378
72.98733.132221
73.38673.132065
73.78833.131912
74.1923.13176
74.5983.13161
75.00623.131462
75.41673.131315
75.82943.13117
76.24433.131027
76.66153.130886
77.0813.130746
77.50283.130607
77.92693.130471
78.35343.130335
78.78213.130202
79.21323.13007
79.64673.129939
80.08253.12981
80.52073.129682
80.96143.129556
81.40443.129431
81.84983.129308
82.29773.129186
82.74813.129065
83.20093.128946
83.65623.128828
84.11393.128712
84.57423.128597
85.0373.128483
85.50243.12837
85.97023.128259
86.44073.128149
86.91373.12804
87.38933.127932
87.86753.127826
88.34833.127721
88.83183.127617
89.31793.127514
89.80663.127413
90.29813.127312
90.79223.127213
91.2893.127114
91.78853.127017
92.29083.126921
92.79583.126826
93.30363.126732
93.81423.12664
94.32763.126548
94.84373.126457
95.36273.126367
95.88463.126279
96.40933.126191
96.93683.126104
97.46733.126018
98.00063.125934
98.53693.12585
99.07613.125767
99.61833.125685
100.1633.125604
100.7113.125524
101.2633.125444
101.8173.125366
102.3743.125289
102.9343.125212
103.4973.125136
104.0643.125061
104.6333.124987
105.2063.124914
105.7813.124841
106.363.12477
106.9423.124699
107.5273.124629
108.1163.12456
108.7073.124491
109.3023.124423
109.93.124356
110.5023.12429
111.1073.124225
111.7153.12416
112.3263.124096
112.943.124032
113.5593.12397
114.183.123908
114.8053.123847
115.4333.123786
116.0653.123726
116.73.123667
117.3383.123608
117.983.123551
118.6263.123493
119.2753.123437
119.9283.123381
120.5843.123325
121.2443.12327
121.9073.123216
122.5743.123163
123.2453.12311
123.923.123057
124.5983.123006
125.283.122954
125.9653.122904
126.6543.122854
127.3473.122804
128.0443.122755
128.7453.122707
129.453.122659
130.1583.122611
130.873.122564
131.5863.122518
132.3063.122472
133.033.122427
133.7583.122382
134.493.122338
135.2263.122294
135.9663.12225
136.713.122208
137.4583.122165
138.213.122123
138.9673.122082
139.7273.122041
140.4923.122
141.2613.12196
142.0343.12192
142.8113.121881
143.5923.121842
144.3783.121804
145.1683.121766
145.9623.121728
146.7613.121691
147.5643.121655
148.3723.121618
149.1843.121582
1503.121547

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
—