Optical constants

Refractive index of Si-O (Non-stoichiometric silicon oxide)

Herguedas and Carretero 2023: SiO0.31; n,k 5.0–25 µm

Data
tabulated nk
Range
5–25 µm
Points
801
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 5–25 µm
Refractive index n
3.218
Extinction coefficient k
0.20876
Permittivity ε1
10.3119
Permittivity ε2
1.34358
Absorption coefficient α
2342.28 cm⁻¹
Penetration depth δ = λ/(2πk)
8538.68 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0 µm⁻¹
Group index ng
3.218
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.1107 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

# Si-O (Non-stoichiometric silicon oxide): Herguedas and Carretero 2023: SiO0.31; n,k 5.0–25 µm
si_o = ls.fetch_refractiveindex("other", "Si-O", "Herguedas-SiO0.31", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(si_o.range_nm)  # (5000, 25000) nm
eps = si_o.eps([11200])  # 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.

Comments and conditions

SiO0.31. Sputtered Si with 10 sccm O2 and 190 sccm Ar, which is equivalent to a oxygen partial pressure of 1.1 × 10-4 mbar and a total pressure of 1.8 × 10-3 mbar. Room temperature.

References

N. Herguedas and E. Carretero. Optical properties in mid-infrared range of silicon oxide thin films with different stoichiometries. Nanomaterials 13, 2749 (2023)
  • doi:10.3390/nano13202749 Optical Properties in Mid-Infrared Range of Silicon Oxide Thin Films with Different Stoichiometries, Nanomaterials (2023)

Cite

Natalia Herguedas and Enrique Carretero. Optical Properties in Mid-Infrared Range of Silicon Oxide Thin Films with Different Stoichiometries. Nanomaterials, 13, 2749 (2023), doi:10.3390/nano13202749; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

801 rows as published
Si-O (Non-stoichiometric silicon oxide), Herguedas and Carretero 2023: SiO0.31; n,k 5.0–25 µm: n and k versus wavelength
λ (µm)nk
5.03.0510.0
5.0053.0510.0
5.013.0510.0
5.0153.0510.0
5.023.0510.0
5.0253.050.0
5.033.050.0
5.0353.050.0
5.043.050.0
5.0453.050.0
5.0513.050.0
5.0563.050.0
5.0613.050.0
5.0663.050.0
5.0713.050.0
5.0763.050.0
5.0813.050.0
5.0863.0490.0
5.0923.0490.0
5.0973.0490.0
5.1023.0490.0
5.1073.0490.0
5.1123.0490.0
5.1183.0490.0
5.1233.0490.0
5.1283.0490.0
5.1333.0490.0
5.1393.0490.0
5.1443.0480.0
5.1493.0480.0
5.1553.0480.0
5.163.0480.0
5.1653.0480.0
5.1713.0480.0
5.1763.0480.0
5.1813.0480.0
5.1873.0480.0
5.1923.0480.0
5.1983.0480.0
5.2033.0470.0
5.2083.0470.0
5.2143.0470.0
5.2193.0470.0
5.2253.0470.0
5.233.0470.0
5.2363.0470.0
5.2413.0470.0
5.2473.0470.0
5.2523.0470.0
5.2583.0460.0
5.2633.0460.0
5.2693.0460.0
5.2743.0460.0
5.283.0460.0
5.2853.0460.0
5.2913.0460.0
5.2973.0460.0
5.3023.0460.0
5.3083.0460.0
5.3133.0450.0
5.3193.0450.0
5.3253.0450.0
5.333.0450.0
5.3363.0450.0
5.3423.0450.0
5.3483.0450.0
5.3533.0450.0
5.3593.0450.0
5.3653.0440.0
5.3713.0440.0
5.3763.0440.0
5.3823.0440.0
5.3883.0440.0
5.3943.0440.0
5.43.0440.0
5.4053.0440.0
5.4113.0440.0
5.4173.0430.0
5.4233.0430.0
5.4293.0430.0
5.4353.0430.0
5.4413.0430.0
5.4473.0430.0
5.4533.0430.0
5.4593.0430.0
5.4643.0430.001
5.473.0420.001
5.4763.0420.001
5.4823.0420.001
5.4883.0420.001
5.4953.0420.001
5.5013.0420.001
5.5073.0420.001
5.5133.0420.001
5.5193.0410.001
5.5253.0410.001
5.5313.0410.001
5.5373.0410.001
5.5433.0410.001
5.5493.0410.001
5.5563.0410.001
5.5623.0410.001
5.5683.040.001
5.5743.040.001
5.583.040.001
5.5873.040.001
5.5933.040.001
5.5993.040.001
5.6053.040.001
5.6123.040.001
5.6183.0390.001
5.6243.0390.001
5.6313.0390.001
5.6373.0390.001
5.6433.0390.001
5.653.0390.001
5.6563.0390.001
5.6633.0380.001
5.6693.0380.001
5.6753.0380.001
5.6823.0380.001
5.6883.0380.001
5.6953.0380.001
5.7013.0380.001
5.7083.0370.001
5.7143.0370.001
5.7213.0370.001
5.7273.0370.001
5.7343.0370.001
5.7413.0370.001
5.7473.0370.001
5.7543.0360.001
5.763.0360.001
5.7673.0360.001
5.7743.0360.001
5.783.0360.001
5.7873.0360.001
5.7943.0360.001
5.83.0350.001
5.8073.0350.001
5.8143.0350.001
5.8213.0350.001
5.8283.0350.001
5.8343.0350.001
5.8413.0340.001
5.8483.0340.001
5.8553.0340.001
5.8623.0340.001
5.8693.0340.001
5.8753.0340.001
5.8823.0330.001
5.8893.0330.001
5.8963.0330.001
5.9033.0330.001
5.913.0330.001
5.9173.0330.001
5.9243.0320.001
5.9313.0320.001
5.9383.0320.001
5.9453.0320.001
5.9523.0320.001
5.9593.0320.001
5.9673.0310.001
5.9743.0310.001
5.9813.0310.002
5.9883.0310.002
5.9953.0310.002
6.0023.0310.002
6.013.030.002
6.0173.030.002
6.0243.030.002
6.0313.030.002
6.0393.030.002
6.0463.0290.002
6.0533.0290.002
6.0613.0290.002
6.0683.0290.002
6.0753.0290.002
6.0833.0290.002
6.093.0280.002
6.0983.0280.002
6.1053.0280.002
6.1123.0280.002
6.123.0280.002
6.1273.0270.002
6.1353.0270.002
6.1433.0270.002
6.153.0270.002
6.1583.0270.002
6.1653.0260.002
6.1733.0260.002
6.183.0260.002
6.1883.0260.002
6.1963.0260.002
6.2033.0250.002
6.2113.0250.002
6.2193.0250.002
6.2273.0250.002
6.2343.0240.002
6.2423.0240.002
6.253.0240.002
6.2583.0240.002
6.2663.0240.003
6.2743.0230.003
6.2813.0230.003
6.2893.0230.003
6.2973.0230.003
6.3053.0230.003
6.3133.0220.003
6.3213.0220.003
6.3293.0220.003
6.3373.0220.003
6.3453.0210.003
6.3533.0210.003
6.3613.0210.003
6.3693.0210.003
6.3783.020.003
6.3863.020.003
6.3943.020.003
6.4023.020.003
6.413.0190.003
6.4183.0190.003
6.4273.0190.003
6.4353.0190.003
6.4433.0180.003
6.4523.0180.003
6.463.0180.003
6.4683.0180.003
6.4773.0170.003
6.4853.0170.004
6.4943.0170.004
6.5023.0170.004
6.513.0160.004
6.5193.0160.004
6.5273.0160.004
6.5363.0160.004
6.5453.0150.004
6.5533.0150.004
6.5623.0150.004
6.573.0150.004
6.5793.0140.004
6.5883.0140.004
6.5963.0140.004
6.6053.0130.004
6.6143.0130.004
6.6233.0130.004
6.6313.0130.004
6.643.0120.004
6.6493.0120.004
6.6583.0120.005
6.6673.0110.005
6.6763.0110.005
6.6843.0110.005
6.6933.0110.005
6.7023.010.005
6.7113.010.005
6.723.010.005
6.7293.0090.005
6.7393.0090.005
6.7483.0090.005
6.7573.0080.005
6.7663.0080.005
6.7753.0080.005
6.7843.0070.005
6.7933.0070.005
6.8033.0070.006
6.8123.0060.006
6.8213.0060.006
6.8313.0060.006
6.843.0060.006
6.8493.0050.006
6.8593.0050.006
6.8683.0040.006
6.8783.0040.006
6.8873.0040.006
6.8973.0030.006
6.9063.0030.006
6.9163.0030.006
6.9253.0020.006
6.9353.0020.007
6.9443.0020.007
6.9543.0010.007
6.9643.0010.007
6.9743.0010.007
6.9833.00.007
6.9933.00.007
7.0032.9990.007
7.0132.9990.007
7.0222.9990.007
7.0322.9980.007
7.0422.9980.007
7.0522.9980.007
7.0622.9970.008
7.0722.9970.008
7.0822.9960.008
7.0922.9960.008
7.1022.9950.008
7.1122.9950.008
7.1232.9950.008
7.1332.9940.008
7.1432.9940.008
7.1532.9930.008
7.1632.9930.009
7.1742.9930.009
7.1842.9920.009
7.1942.9920.009
7.2052.9910.009
7.2152.9910.009
7.2252.990.009
7.2362.990.009
7.2462.9890.009
7.2572.9890.009
7.2672.9880.01
7.2782.9880.01
7.2892.9870.01
7.2992.9870.01
7.312.9870.01
7.3212.9860.01
7.3312.9860.01
7.3422.9850.01
7.3532.9850.01
7.3642.9840.011
7.3752.9830.011
7.3862.9830.011
7.3962.9820.011
7.4072.9820.011
7.4182.9810.011
7.4292.9810.011
7.442.980.011
7.4522.980.011
7.4632.9790.012
7.4742.9790.012
7.4852.9780.012
7.4962.9770.012
7.5082.9770.012
7.5192.9760.012
7.532.9760.012
7.5412.9750.013
7.5532.9740.013
7.5642.9740.013
7.5762.9730.013
7.5872.9730.013
7.5992.9720.013
7.612.9710.013
7.6222.9710.014
7.6342.970.014
7.6452.9690.014
7.6572.9680.014
7.6692.9680.014
7.682.9670.014
7.6922.9660.014
7.7042.9660.015
7.7162.9650.015
7.7282.9640.015
7.742.9630.015
7.7522.9630.015
7.7642.9620.015
7.7762.9610.016
7.7882.960.016
7.82.9590.016
7.8122.9590.016
7.8252.9580.016
7.8372.9570.017
7.8492.9560.017
7.8622.9550.017
7.8742.9540.017
7.8862.9530.017
7.8992.9520.018
7.9112.9510.018
7.9242.950.018
7.9372.9490.018
7.9492.9480.018
7.9622.9470.019
7.9742.9460.019
7.9872.9450.019
8.02.9440.019
8.0132.9430.02
8.0262.9420.02
8.0392.9410.02
8.0522.9390.021
8.0652.9380.021
8.0782.9370.021
8.0912.9360.022
8.1042.9340.022
8.1172.9330.022
8.132.9320.023
8.1432.930.023
8.1572.9290.024
8.172.9270.024
8.1832.9260.025
8.1972.9250.025
8.212.9230.026
8.2242.9210.026
8.2372.920.027
8.2512.9180.027
8.2642.9170.028
8.2782.9150.029
8.2922.9130.029
8.3062.9110.03
8.3192.910.031
8.3332.9080.032
8.3472.9060.033
8.3612.9040.033
8.3752.9020.034
8.3892.90.035
8.4032.8980.036
8.4182.8960.038
8.4322.8940.039
8.4462.8920.04
8.462.890.041
8.4752.8880.043
8.4892.8860.044
8.5032.8840.046
8.5182.8820.047
8.5322.8790.049
8.5472.8770.051
8.5622.8750.052
8.5762.8730.054
8.5912.8710.056
8.6062.8680.058
8.6212.8660.061
8.6362.8640.063
8.6512.8620.065
8.6662.8590.068
8.6812.8570.07
8.6962.8550.073
8.7112.8530.076
8.7262.850.078
8.7412.8480.081
8.7572.8460.084
8.7722.8440.088
8.7872.8420.091
8.8032.840.094
8.8182.8380.098
8.8342.8360.102
8.852.8350.105
8.8652.8330.109
8.8812.8310.113
8.8972.8290.117
8.9132.8280.121
8.9292.8270.126
8.9452.8250.13
8.9612.8240.134
8.9772.8230.139
8.9932.8220.144
9.0092.8210.148
9.0252.820.153
9.0422.820.158
9.0582.8190.163
9.0742.8190.168
9.0912.8190.174
9.1072.8180.179
9.1242.8190.184
9.1412.8190.189
9.1582.8190.195
9.1742.820.2
9.1912.820.206
9.2082.8210.211
9.2252.8220.217
9.2422.8240.222
9.2592.8250.228
9.2762.8270.233
9.2942.8280.239
9.3112.830.244
9.3282.8320.25
9.3462.8350.255
9.3632.8370.261
9.3812.840.266
9.3982.8430.272
9.4162.8460.277
9.4342.8490.282
9.4522.8520.287
9.472.8560.292
9.4882.860.297
9.5062.8640.302
9.5242.8680.307
9.5422.8720.312
9.562.8760.317
9.5792.8810.321
9.5972.8850.325
9.6152.890.33
9.6342.8950.334
9.6532.90.338
9.6712.9060.342
9.692.9110.345
9.7092.9160.349
9.7282.9220.352
9.7472.9280.355
9.7662.9330.358
9.7852.9390.361
9.8042.9450.364
9.8232.9510.366
9.8432.9580.369
9.8622.9640.371
9.8812.970.373
9.9012.9760.374
9.9212.9830.376
9.942.9890.377
9.962.9960.378
9.983.0020.379
10.03.0090.38
10.023.0150.38
10.043.0220.381
10.063.0280.381
10.0813.0350.381
10.1013.0410.381
10.1213.0480.38
10.1423.0540.379
10.1633.060.379
10.1833.0670.377
10.2043.0730.376
10.2253.0790.375
10.2463.0850.373
10.2673.0910.371
10.2883.0970.369
10.3093.1030.367
10.3313.1090.365
10.3523.1150.362
10.3733.120.36
10.3953.1260.357
10.4173.1310.354
10.4383.1360.351
10.463.1410.347
10.4823.1460.344
10.5043.1510.341
10.5263.1560.337
10.5493.160.333
10.5713.1640.329
10.5933.1690.325
10.6163.1730.321
10.6383.1770.317
10.6613.180.313
10.6843.1840.308
10.7073.1870.304
10.733.190.299
10.7533.1930.295
10.7763.1960.29
10.7993.1990.286
10.8233.2010.281
10.8463.2040.276
10.873.2060.271
10.8933.2080.267
10.9173.2090.262
10.9413.2110.257
10.9653.2130.253
10.9893.2140.248
11.0133.2150.243
11.0383.2160.238
11.0623.2170.234
11.0863.2170.229
11.1113.2180.225
11.1363.2180.22
11.1613.2180.216
11.1863.2180.211
11.2113.2180.207
11.2363.2180.203
11.2613.2180.198
11.2873.2170.194
11.3123.2170.19
11.3383.2160.186
11.3643.2150.182
11.393.2140.179
11.4163.2130.175
11.4423.2120.171
11.4683.2110.168
11.4943.210.164
11.5213.2080.161
11.5473.2070.158
11.5743.2050.155
11.6013.2040.152
11.6283.2020.149
11.6553.20.146
11.6823.1980.143
11.713.1970.141
11.7373.1950.138
11.7653.1930.136
11.7923.1910.134
11.823.1890.131
11.8483.1870.129
11.8763.1850.127
11.9053.1830.125
11.9333.1810.124
11.9623.1790.122
11.993.1770.12
12.0193.1750.119
12.0483.1730.117
12.0773.1710.116
12.1073.1690.115
12.1363.1660.114
12.1653.1640.113
12.1953.1620.112
12.2253.160.111
12.2553.1580.11
12.2853.1570.109
12.3153.1550.108
12.3463.1530.108
12.3763.1510.107
12.4073.1490.107
12.4383.1470.106
12.4693.1450.106
12.53.1440.106
12.5313.1420.105
12.5633.140.105
12.5943.1380.105
12.6263.1370.105
12.6583.1350.105
12.693.1340.105
12.7233.1320.105
12.7553.1310.105
12.7883.1290.105
12.8213.1280.105
12.8533.1260.105
12.8873.1250.105
12.923.1230.105
12.9533.1220.106
12.9873.1210.106
13.0213.120.106
13.0553.1180.106
13.0893.1170.107
13.1233.1160.107
13.1583.1150.107
13.1933.1140.108
13.2283.1130.108
13.2633.1120.109
13.2983.1110.109
13.3333.110.109
13.3693.1090.11
13.4053.1080.11
13.4413.1070.111
13.4773.1060.111
13.5143.1050.112
13.553.1040.112
13.5873.1030.113
13.6243.1030.113
13.6613.1020.114
13.6993.1010.114
13.7363.10.115
13.7743.10.115
13.8123.0990.116
13.853.0980.116
13.8893.0980.117
13.9283.0970.118
13.9663.0960.118
14.0063.0960.119
14.0453.0950.119
14.0853.0950.12
14.1243.0940.12
14.1643.0940.121
14.2053.0930.122
14.2453.0930.122
14.2863.0920.123
14.3273.0920.123
14.3683.0910.124
14.4093.0910.124
14.4513.090.125
14.4933.090.126
14.5353.0890.126
14.5773.0890.127
14.623.0890.127
14.6633.0880.128
14.7063.0880.129
14.7493.0880.129
14.7933.0870.13
14.8373.0870.13
14.8813.0870.131
14.9253.0860.132
14.973.0860.132
15.0153.0860.133
15.063.0850.134
15.1063.0850.134
15.1523.0850.135
15.1983.0850.135
15.2443.0840.136
15.2913.0840.137
15.3373.0840.137
15.3853.0840.138
15.4323.0830.139
15.483.0830.139
15.5283.0830.14
15.5763.0830.14
15.6253.0830.141
15.6743.0820.142
15.7233.0820.142
15.7733.0820.143
15.8233.0820.144
15.8733.0820.144
15.9243.0820.145
15.9743.0810.145
16.0263.0810.146
16.0773.0810.147
16.1293.0810.147
16.1813.0810.148
16.2343.0810.149
16.2873.0810.149
16.343.0810.15
16.3933.080.151
16.4473.080.151
16.5023.080.152
16.5563.080.153
16.6113.080.153
16.6673.080.154
16.7223.080.154
16.7793.080.155
16.8353.080.156
16.8923.080.156
16.9493.080.157
17.0073.080.158
17.0653.080.158
17.1233.080.159
17.1823.0790.16
17.2413.0790.16
17.3013.0790.161
17.3613.0790.162
17.4223.0790.162
17.4833.0790.163
17.5443.0790.164
17.6063.0790.164
17.6683.0790.165
17.733.0790.166
17.7943.0790.166
17.8573.0790.167
17.9213.0790.168
17.9863.0790.168
18.0513.0790.169
18.1163.0790.17
18.1823.0790.171
18.2483.0790.171
18.3153.0790.172
18.3823.0790.173
18.453.0790.173
18.5193.0790.174
18.5873.0790.175
18.6573.0790.175
18.7273.0790.176
18.7973.0790.177
18.8683.0790.178
18.9393.0790.178
19.0113.0790.179
19.0843.0790.18
19.1573.0790.18
19.2313.0790.181
19.3053.0790.182
19.383.0790.183
19.4553.0790.183
19.5313.0790.184
19.6083.0790.185
19.6853.0780.186
19.7633.0780.186
19.8413.0780.187
19.923.0780.188
20.03.0780.189
20.083.0780.19
20.1613.0780.191
20.2433.0780.191
20.3253.0770.192
20.4083.0770.193
20.4923.0770.194
20.5763.0770.195
20.6613.0770.196
20.7473.0760.197
20.8333.0760.198
20.9213.0760.199
21.0083.0760.2
21.0973.0760.202
21.1863.0750.203
21.2773.0750.204
21.3683.0750.205
21.4593.0750.207
21.5523.0740.208
21.6453.0740.21
21.7393.0740.211
21.8343.0740.213
21.933.0740.214
22.0263.0740.216
22.1243.0740.218
22.2223.0740.22
22.3213.0740.222
22.4223.0740.224
22.5233.0740.226
22.6243.0750.228
22.7273.0750.23
22.8313.0760.232
22.9363.0760.234
23.0413.0770.236
23.1483.0780.238
23.2563.0780.24
23.3643.0790.242
23.4743.0810.244
23.5853.0820.247
23.6973.0830.249
23.813.0840.251
23.9233.0860.252
24.0383.0880.254
24.1553.0890.256
24.2723.0910.258
24.393.0930.259
24.513.0950.261
24.6313.0970.262
24.7523.0990.263
24.8763.1010.265
25.03.1030.266

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
—