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

Range 17–150 µm
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.

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=6.346+3.026λ2λ2−175.2

Valid from 17.0 to 150.0 µm.

Coefficients as stored
CiValue
C16.346
C23.026
C3175.2

Comments and conditions

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

Conditions

temperature
293 K
direction
e

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(e) 17–150 µm: n and k versus wavelength
λ (µm)n
173.876939
17.0933.860614
17.18663.844921
17.28063.829825
17.37523.815292
17.47023.801291
17.56583.787796
17.6623.774779
17.75863.762216
17.85583.750084
17.95353.738362
18.05173.72703
18.15053.716069
18.24993.705462
18.34973.695193
18.45013.685245
18.55113.675605
18.65263.666259
18.75473.657194
18.85733.648399
18.96053.639861
19.06423.63157
19.16863.623516
19.27353.615689
19.37893.60808
19.4853.600681
19.59163.593483
19.69883.586479
19.80663.579661
19.9153.573023
20.0243.566557
20.13353.560257
20.24373.554118
20.35453.548133
20.46593.542298
20.57793.536607
20.69053.531054
20.80373.525636
20.91753.520348
21.0323.515185
21.14713.510144
21.26283.50522
21.37913.500409
21.49613.495709
21.61383.491115
21.7323.486624
21.8513.482233
21.97053.477939
22.09073.473739
22.21163.46963
22.33323.46561
22.45543.461675
22.57833.457824
22.70183.454054
22.8263.450363
22.95093.446747
23.07653.443207
23.20283.439738
23.32983.436339
23.45743.433009
23.58583.429745
23.71493.426546
23.84463.42341
23.97513.420335
24.10633.41732
24.23823.414363
24.37093.411462
24.50423.408617
24.63833.405825
24.77313.403086
24.90873.400398
25.0453.39776
25.18213.395171
25.31993.392629
25.45843.390133
25.59773.387682
25.73783.385276
25.87863.382912
26.02023.380591
26.16263.378311
26.30583.376071
26.44973.37387
26.59453.371707
26.743.369582
26.88633.367493
27.03353.365441
27.18143.363423
27.33013.361439
27.47973.359489
27.63013.357572
27.78123.355686
27.93333.353832
28.08613.352009
28.23983.350216
28.39433.348452
28.54973.346717
28.70593.34501
28.8633.343331
29.0213.341679
29.17983.340053
29.33953.338453
29.53.336879
29.66143.335329
29.82373.333804
29.98693.332303
30.1513.330825
30.3163.32937
30.48193.327938
30.64873.326528
30.81643.32514
30.98513.323773
31.15463.322427
31.32513.321101
31.49653.319795
31.66893.318509
31.84223.317243
32.01643.315995
32.19163.314766
32.36783.313555
32.54493.312362
32.7233.311187
32.9023.310029
33.08213.308888
33.26313.307764
33.44513.306656
33.62813.305565
33.81223.304489
33.99723.303428
34.18323.302383
34.37033.301353
34.55833.300338
34.74753.299337
34.93763.29835
35.12883.297378
35.3213.296419
35.51433.295473
35.70863.294541
35.9043.293622
36.10053.292716
36.2983.291822
36.49673.290941
36.69643.290072
36.89723.289215
37.09913.28837
37.30213.287536
37.50623.286714
37.71153.285903
37.91783.285103
38.12533.284314
38.33393.283536
38.54373.282769
38.75463.282011
38.96673.281264
39.17993.280527
39.39433.2798
39.60993.279083
39.82663.278375
40.04463.277676
40.26373.276987
40.4843.276307
40.70563.275636
40.92833.274974
41.15233.27432
41.37753.273676
41.60393.273039
41.83163.272411
42.06053.271791
42.29063.27118
42.5223.270576
42.75473.26998
42.98873.269392
43.22393.268811
43.46053.268238
43.69833.267672
43.93743.267114
44.17783.266562
44.41963.266018
44.66263.265481
44.9073.264951
45.15283.264427
45.39993.26391
45.64833.2634
45.89813.262896
46.14923.262398
46.40183.261907
46.65573.261422
46.9113.260943
47.16773.26047
47.42583.260003
47.68533.259542
47.94633.259086
48.20863.258637
48.47243.258193
48.73773.257754
49.00443.257321
49.27253.256893
49.54223.256471
49.81333.256054
50.08583.255642
50.35993.255235
50.63553.254833
50.91263.254436
51.19123.254044
51.47133.253657
51.7533.253274
52.03623.252896
52.32093.252523
52.60723.252155
52.89513.251791
53.18453.251431
53.47563.251076
53.76823.250725
54.06243.250378
54.35833.250035
54.65573.249697
54.95483.249363
55.25553.249032
55.55793.248706
55.86193.248384
56.16763.248065
56.47493.247751
56.7843.24744
57.09473.247133
57.40713.246829
57.72133.24653
58.03713.246233
58.35473.245941
58.6743.245652
58.99513.245366
59.31793.245083
59.64253.244805
59.96893.244529
60.29713.244257
60.6273.243987
60.95883.243721
61.29233.243459
61.62773.243199
61.9653.242942
62.30413.242689
62.6453.242438
62.98783.24219
63.33253.241946
63.6793.241704
64.02753.241465
64.37783.241229
64.73013.240995
65.08433.240765
65.44053.240537
65.79863.240311
66.15863.240089
66.52073.239869
66.88473.239651
67.25073.239436
67.61873.239224
67.98873.239014
68.36073.238806
68.73483.238601
69.1113.238398
69.48913.238198
69.86943.238
70.25173.237804
70.63613.23761
71.02273.237419
71.41133.23723
71.80213.237043
72.1953.236859
72.59013.236676
72.98733.236496
73.38673.236317
73.78833.236141
74.1923.235967
74.5983.235794
75.00623.235624
75.41673.235456
75.82943.235289
76.24433.235125
76.66153.234962
77.0813.234801
77.50283.234643
77.92693.234485
78.35343.23433
78.78213.234177
79.21323.234025
79.64673.233875
80.08253.233727
80.52073.23358
80.96143.233435
81.40443.233292
81.84983.23315
82.29773.23301
82.74813.232872
83.20093.232735
83.65623.232599
84.11393.232466
84.57423.232333
85.0373.232203
85.50243.232073
85.97023.231946
86.44073.231819
86.91373.231694
87.38933.231571
87.86753.231449
88.34833.231328
88.83183.231209
89.31793.231091
89.80663.230974
90.29813.230859
90.79223.230745
91.2893.230632
91.78853.23052
92.29083.23041
92.79583.230301
93.30363.230193
93.81423.230087
94.32763.229981
94.84373.229877
95.36273.229774
95.88463.229672
96.40933.229572
96.93683.229472
97.46733.229374
98.00063.229276
98.53693.22918
99.07613.229085
99.61833.228991
100.1633.228898
100.7113.228806
101.2633.228715
101.8173.228625
102.3743.228536
102.9343.228448
103.4973.228361
104.0643.228275
104.6333.22819
105.2063.228106
105.7813.228023
106.363.227941
106.9423.22786
107.5273.227779
108.1163.2277
108.7073.227621
109.3023.227543
109.93.227466
110.5023.227391
111.1073.227315
111.7153.227241
112.3263.227168
112.943.227095
113.5593.227023
114.183.226952
114.8053.226882
115.4333.226812
116.0653.226744
116.73.226676
117.3383.226608
117.983.226542
118.6263.226476
119.2753.226411
119.9283.226347
120.5843.226283
121.2443.226221
121.9073.226159
122.5743.226097
123.2453.226036
123.923.225976
124.5983.225917
125.283.225858
125.9653.2258
126.6543.225742
127.3473.225686
128.0443.225629
128.7453.225574
129.453.225519
130.1583.225464
130.873.225411
131.5863.225358
132.3063.225305
133.033.225253
133.7583.225202
134.493.225151
135.2263.2251
135.9663.225051
136.713.225001
137.4583.224953
138.213.224905
138.9673.224857
139.7273.22481
140.4923.224764
141.2613.224718
142.0343.224672
142.8113.224627
143.5923.224583
144.3783.224539
145.1683.224495
145.9623.224452
146.7613.224409
147.5643.224367
148.3723.224326
149.1843.224284
1503.224244

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
—