Optical constants

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

Herguedas and Carretero 2023: SiO0.61; 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
2.87632
Extinction coefficient k
0.1822
Permittivity ε1
8.24002
Permittivity ε2
1.04813
Absorption coefficient α
2044.28 cm⁻¹
Penetration depth δ = λ/(2πk)
9783.4 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.12 µm⁻¹
Group index ng
4.22032
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: SiO0.61; n,k 5.0–25 µm
si_o = ls.fetch_refractiveindex("other", "Si-O", "Herguedas-SiO0.61", 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

SiO0.61. Sputtered Si with 20 sccm O2 and 180 sccm Ar, which is equivalent to a oxygen partial pressure of 1.8 × 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: SiO0.61; n,k 5.0–25 µm: n and k versus wavelength
λ (µm)nk
5.02.5940.0
5.0052.5940.0
5.012.5940.0
5.0152.5940.0
5.022.5930.0
5.0252.5930.0
5.032.5930.0
5.0352.5930.0
5.042.5930.0
5.0452.5930.0
5.0512.5930.0
5.0562.5930.0
5.0612.5930.0
5.0662.5920.0
5.0712.5920.0
5.0762.5920.0
5.0812.5920.0
5.0862.5920.0
5.0922.5920.0
5.0972.5920.0
5.1022.5920.0
5.1072.5910.0
5.1122.5910.0
5.1182.5910.0
5.1232.5910.0
5.1282.5910.0
5.1332.5910.0
5.1392.5910.0
5.1442.5910.0
5.1492.590.0
5.1552.590.0
5.162.590.0
5.1652.590.0
5.1712.590.0
5.1762.590.0
5.1812.590.0
5.1872.590.0
5.1922.5890.0
5.1982.5890.0
5.2032.5890.0
5.2082.5890.0
5.2142.5890.0
5.2192.5890.0
5.2252.5890.0
5.232.5880.0
5.2362.5880.0
5.2412.5880.0
5.2472.5880.0
5.2522.5880.0
5.2582.5880.0
5.2632.5880.0
5.2692.5880.0
5.2742.5870.0
5.282.5870.0
5.2852.5870.0
5.2912.5870.0
5.2972.5870.0
5.3022.5870.0
5.3082.5870.0
5.3132.5860.0
5.3192.5860.0
5.3252.5860.0
5.332.5860.0
5.3362.5860.0
5.3422.5860.0
5.3482.5850.0
5.3532.5850.0
5.3592.5850.0
5.3652.5850.0
5.3712.5850.0
5.3762.5850.0
5.3822.5850.001
5.3882.5840.001
5.3942.5840.001
5.42.5840.001
5.4052.5840.001
5.4112.5840.001
5.4172.5840.001
5.4232.5830.001
5.4292.5830.001
5.4352.5830.001
5.4412.5830.001
5.4472.5830.001
5.4532.5830.001
5.4592.5830.001
5.4642.5820.001
5.472.5820.001
5.4762.5820.001
5.4822.5820.001
5.4882.5820.001
5.4952.5820.001
5.5012.5810.001
5.5072.5810.001
5.5132.5810.001
5.5192.5810.001
5.5252.5810.001
5.5312.580.001
5.5372.580.001
5.5432.580.001
5.5492.580.001
5.5562.580.001
5.5622.580.001
5.5682.5790.001
5.5742.5790.001
5.582.5790.001
5.5872.5790.001
5.5932.5790.001
5.5992.5790.001
5.6052.5780.001
5.6122.5780.001
5.6182.5780.001
5.6242.5780.001
5.6312.5780.001
5.6372.5770.001
5.6432.5770.001
5.652.5770.001
5.6562.5770.001
5.6632.5770.001
5.6692.5760.001
5.6752.5760.001
5.6822.5760.001
5.6882.5760.001
5.6952.5760.001
5.7012.5750.001
5.7082.5750.001
5.7142.5750.001
5.7212.5750.001
5.7272.5750.001
5.7342.5740.001
5.7412.5740.001
5.7472.5740.001
5.7542.5740.001
5.762.5740.001
5.7672.5730.001
5.7742.5730.001
5.782.5730.001
5.7872.5730.001
5.7942.5730.001
5.82.5720.001
5.8072.5720.001
5.8142.5720.001
5.8212.5720.001
5.8282.5710.001
5.8342.5710.001
5.8412.5710.001
5.8482.5710.001
5.8552.5710.001
5.8622.570.002
5.8692.570.002
5.8752.570.002
5.8822.570.002
5.8892.5690.002
5.8962.5690.002
5.9032.5690.002
5.912.5690.002
5.9172.5680.002
5.9242.5680.002
5.9312.5680.002
5.9382.5680.002
5.9452.5670.002
5.9522.5670.002
5.9592.5670.002
5.9672.5670.002
5.9742.5660.002
5.9812.5660.002
5.9882.5660.002
5.9952.5660.002
6.0022.5650.002
6.012.5650.002
6.0172.5650.002
6.0242.5650.002
6.0312.5640.002
6.0392.5640.002
6.0462.5640.002
6.0532.5640.002
6.0612.5630.002
6.0682.5630.002
6.0752.5630.002
6.0832.5630.002
6.092.5620.002
6.0982.5620.002
6.1052.5620.002
6.1122.5610.002
6.122.5610.002
6.1272.5610.003
6.1352.5610.003
6.1432.560.003
6.152.560.003
6.1582.560.003
6.1652.5590.003
6.1732.5590.003
6.182.5590.003
6.1882.5590.003
6.1962.5580.003
6.2032.5580.003
6.2112.5580.003
6.2192.5570.003
6.2272.5570.003
6.2342.5570.003
6.2422.5560.003
6.252.5560.003
6.2582.5560.003
6.2662.5550.003
6.2742.5550.003
6.2812.5550.003
6.2892.5550.003
6.2972.5540.003
6.3052.5540.003
6.3132.5540.003
6.3212.5530.004
6.3292.5530.004
6.3372.5530.004
6.3452.5520.004
6.3532.5520.004
6.3612.5520.004
6.3692.5510.004
6.3782.5510.004
6.3862.5510.004
6.3942.550.004
6.4022.550.004
6.412.5490.004
6.4182.5490.004
6.4272.5490.004
6.4352.5480.004
6.4432.5480.004
6.4522.5480.004
6.462.5470.004
6.4682.5470.004
6.4772.5470.005
6.4852.5460.005
6.4942.5460.005
6.5022.5450.005
6.512.5450.005
6.5192.5450.005
6.5272.5440.005
6.5362.5440.005
6.5452.5430.005
6.5532.5430.005
6.5622.5430.005
6.572.5420.005
6.5792.5420.005
6.5882.5410.005
6.5962.5410.005
6.6052.5410.005
6.6142.540.006
6.6232.540.006
6.6312.5390.006
6.642.5390.006
6.6492.5390.006
6.6582.5380.006
6.6672.5380.006
6.6762.5370.006
6.6842.5370.006
6.6932.5360.006
6.7022.5360.006
6.7112.5350.006
6.722.5350.006
6.7292.5350.006
6.7392.5340.007
6.7482.5340.007
6.7572.5330.007
6.7662.5330.007
6.7752.5320.007
6.7842.5320.007
6.7932.5310.007
6.8032.5310.007
6.8122.530.007
6.8212.530.007
6.8312.5290.007
6.842.5290.008
6.8492.5280.008
6.8592.5280.008
6.8682.5270.008
6.8782.5270.008
6.8872.5260.008
6.8972.5260.008
6.9062.5250.008
6.9162.5250.008
6.9252.5240.008
6.9352.5240.008
6.9442.5230.009
6.9542.5220.009
6.9642.5220.009
6.9742.5210.009
6.9832.5210.009
6.9932.520.009
7.0032.520.009
7.0132.5190.009
7.0222.5180.009
7.0322.5180.01
7.0422.5170.01
7.0522.5170.01
7.0622.5160.01
7.0722.5150.01
7.0822.5150.01
7.0922.5140.01
7.1022.5140.01
7.1122.5130.01
7.1232.5120.011
7.1332.5120.011
7.1432.5110.011
7.1532.510.011
7.1632.510.011
7.1742.5090.011
7.1842.5080.011
7.1942.5080.011
7.2052.5070.012
7.2152.5060.012
7.2252.5060.012
7.2362.5050.012
7.2462.5040.012
7.2572.5030.012
7.2672.5030.012
7.2782.5020.013
7.2892.5010.013
7.2992.50.013
7.312.50.013
7.3212.4990.013
7.3312.4980.013
7.3422.4970.013
7.3532.4960.014
7.3642.4960.014
7.3752.4950.014
7.3862.4940.014
7.3962.4930.014
7.4072.4920.014
7.4182.4910.014
7.4292.4910.015
7.442.490.015
7.4522.4890.015
7.4632.4880.015
7.4742.4870.015
7.4852.4860.015
7.4962.4850.016
7.5082.4840.016
7.5192.4830.016
7.532.4820.016
7.5412.4810.016
7.5532.480.017
7.5642.4790.017
7.5762.4780.017
7.5872.4770.017
7.5992.4760.017
7.612.4750.018
7.6222.4740.018
7.6342.4730.018
7.6452.4720.018
7.6572.470.018
7.6692.4690.019
7.682.4680.019
7.6922.4670.019
7.7042.4660.019
7.7162.4640.019
7.7282.4630.02
7.742.4620.02
7.7522.4610.02
7.7642.4590.02
7.7762.4580.021
7.7882.4560.021
7.82.4550.021
7.8122.4540.021
7.8252.4520.022
7.8372.4510.022
7.8492.4490.022
7.8622.4480.022
7.8742.4460.023
7.8862.4440.023
7.8992.4430.023
7.9112.4410.024
7.9242.4390.024
7.9372.4380.024
7.9492.4360.025
7.9622.4340.025
7.9742.4320.026
7.9872.430.026
8.02.4280.026
8.0132.4260.027
8.0262.4240.027
8.0392.4220.028
8.0522.420.028
8.0652.4180.029
8.0782.4150.03
8.0912.4130.03
8.1042.4110.031
8.1172.4080.031
8.132.4060.032
8.1432.4030.033
8.1572.4010.034
8.172.3980.035
8.1832.3960.035
8.1972.3930.036
8.212.390.037
8.2242.3870.038
8.2372.3840.04
8.2512.3810.041
8.2642.3780.042
8.2782.3750.043
8.2922.3720.045
8.3062.3690.046
8.3192.3650.048
8.3332.3620.049
8.3472.3590.051
8.3612.3550.053
8.3752.3520.055
8.3892.3480.057
8.4032.3440.059
8.4182.3410.062
8.4322.3370.064
8.4462.3330.067
8.462.3290.069
8.4752.3250.072
8.4892.3210.075
8.5032.3170.078
8.5182.3130.082
8.5322.3090.085
8.5472.3050.089
8.5622.3010.093
8.5762.2970.097
8.5912.2930.101
8.6062.2890.106
8.6212.2850.11
8.6362.2810.115
8.6512.2760.12
8.6662.2730.125
8.6812.2690.131
8.6962.2650.137
8.7112.2610.143
8.7262.2570.149
8.7412.2540.155
8.7572.250.162
8.7722.2470.169
8.7872.2430.176
8.8032.240.184
8.8182.2370.191
8.8342.2340.199
8.852.2320.207
8.8652.2290.216
8.8812.2270.224
8.8972.2250.233
8.9132.2240.242
8.9292.2220.252
8.9452.2210.261
8.9612.220.271
8.9772.220.281
8.9932.2190.291
9.0092.2190.301
9.0252.220.311
9.0422.2210.322
9.0582.2220.332
9.0742.2230.343
9.0912.2250.353
9.1072.2280.364
9.1242.230.375
9.1412.2340.386
9.1582.2370.397
9.1742.2410.408
9.1912.2460.418
9.2082.2510.429
9.2252.2560.44
9.2422.2620.45
9.2592.2680.461
9.2762.2740.471
9.2942.2810.481
9.3112.2890.491
9.3282.2970.501
9.3462.3050.51
9.3632.3130.52
9.3812.3220.529
9.3982.3320.537
9.4162.3410.546
9.4342.3510.554
9.4522.3620.561
9.472.3720.569
9.4882.3830.576
9.5062.3950.582
9.5242.4060.589
9.5422.4180.594
9.562.430.6
9.5792.4420.605
9.5972.4540.609
9.6152.4670.613
9.6342.4790.617
9.6532.4920.62
9.6712.5050.623
9.692.5180.625
9.7092.5310.627
9.7282.5440.628
9.7472.5570.629
9.7662.570.63
9.7852.5830.63
9.8042.5960.629
9.8232.6080.628
9.8432.6210.627
9.8622.6340.625
9.8812.6460.623
9.9012.6590.62
9.9212.6710.617
9.942.6830.613
9.962.6950.609
9.982.7070.605
10.02.7180.6
10.022.730.595
10.042.7410.59
10.062.7520.584
10.0812.7620.578
10.1012.7720.572
10.1212.7820.565
10.1422.7920.558
10.1632.8010.551
10.1832.810.543
10.2042.8190.535
10.2252.8270.527
10.2462.8350.519
10.2672.8420.511
10.2882.8490.502
10.3092.8560.493
10.3312.8630.485
10.3522.8690.476
10.3732.8750.466
10.3952.880.457
10.4172.8850.448
10.4382.890.439
10.462.8940.429
10.4822.8980.42
10.5042.9010.41
10.5262.9040.401
10.5492.9070.392
10.5712.910.382
10.5932.9120.373
10.6162.9140.364
10.6382.9150.354
10.6612.9160.345
10.6842.9170.336
10.7072.9170.327
10.732.9180.319
10.7532.9180.31
10.7762.9170.301
10.7992.9160.293
10.8232.9160.285
10.8462.9140.277
10.872.9130.269
10.8932.9110.261
10.9172.910.254
10.9412.9080.246
10.9652.9050.239
10.9892.9030.232
11.0132.90.226
11.0382.8980.219
11.0622.8950.213
11.0862.8920.207
11.1112.8880.201
11.1362.8850.195
11.1612.8820.19
11.1862.8780.185
11.2112.8750.18
11.2362.8710.175
11.2612.8670.17
11.2872.8640.166
11.3122.860.162
11.3382.8560.158
11.3642.8520.154
11.392.8480.151
11.4162.8440.147
11.4422.8410.144
11.4682.8370.141
11.4942.8330.138
11.5212.8290.136
11.5472.8250.133
11.5742.8210.131
11.6012.8170.129
11.6282.8140.127
11.6552.810.125
11.6822.8060.123
11.712.8030.122
11.7372.7990.12
11.7652.7960.119
11.7922.7920.118
11.822.7890.117
11.8482.7850.116
11.8762.7820.115
11.9052.7790.114
11.9332.7760.113
11.9622.7730.113
11.992.770.112
12.0192.7670.112
12.0482.7640.111
12.0772.7610.111
12.1072.7580.111
12.1362.7560.111
12.1652.7530.111
12.1952.7510.111
12.2252.7480.111
12.2552.7460.111
12.2852.7430.111
12.3152.7410.111
12.3462.7390.111
12.3762.7370.112
12.4072.7350.112
12.4382.7320.112
12.4692.7310.112
12.52.7290.113
12.5312.7270.113
12.5632.7250.114
12.5942.7230.114
12.6262.7210.114
12.6582.720.115
12.692.7180.115
12.7232.7160.116
12.7552.7150.116
12.7882.7130.117
12.8212.7120.117
12.8532.710.118
12.8872.7090.118
12.922.7080.119
12.9532.7060.12
12.9872.7050.12
13.0212.7040.121
13.0552.7030.121
13.0892.7020.122
13.1232.70.122
13.1582.6990.123
13.1932.6980.124
13.2282.6970.124
13.2632.6960.125
13.2982.6950.125
13.3332.6940.126
13.3692.6930.127
13.4052.6920.127
13.4412.6910.128
13.4772.6910.129
13.5142.690.129
13.552.6890.13
13.5872.6880.13
13.6242.6870.131
13.6612.6860.132
13.6992.6860.132
13.7362.6850.133
13.7742.6840.134
13.8122.6840.134
13.852.6830.135
13.8892.6820.135
13.9282.6810.136
13.9662.6810.137
14.0062.680.137
14.0452.680.138
14.0852.6790.139
14.1242.6780.139
14.1642.6780.14
14.2052.6770.141
14.2452.6770.141
14.2862.6760.142
14.3272.6760.142
14.3682.6750.143
14.4092.6750.144
14.4512.6740.144
14.4932.6740.145
14.5352.6730.146
14.5772.6730.146
14.622.6730.147
14.6632.6720.148
14.7062.6720.148
14.7492.6710.149
14.7932.6710.15
14.8372.6710.15
14.8812.670.151
14.9252.670.151
14.972.6690.152
15.0152.6690.153
15.062.6690.153
15.1062.6680.154
15.1522.6680.155
15.1982.6680.155
15.2442.6670.156
15.2912.6670.157
15.3372.6670.157
15.3852.6670.158
15.4322.6660.159
15.482.6660.159
15.5282.6660.16
15.5762.6660.161
15.6252.6650.161
15.6742.6650.162
15.7232.6650.162
15.7732.6650.163
15.8232.6640.164
15.8732.6640.164
15.9242.6640.165
15.9742.6640.166
16.0262.6630.166
16.0772.6630.167
16.1292.6630.168
16.1812.6630.168
16.2342.6630.169
16.2872.6620.17
16.342.6620.17
16.3932.6620.171
16.4472.6620.172
16.5022.6620.172
16.5562.6620.173
16.6112.6610.174
16.6672.6610.174
16.7222.6610.175
16.7792.6610.176
16.8352.6610.176
16.8922.6610.177
16.9492.660.178
17.0072.660.178
17.0652.660.179
17.1232.660.18
17.1822.660.18
17.2412.660.181
17.3012.6590.182
17.3612.6590.182
17.4222.6590.183
17.4832.6590.184
17.5442.6590.184
17.6062.6590.185
17.6682.6590.186
17.732.6580.186
17.7942.6580.187
17.8572.6580.188
17.9212.6580.188
17.9862.6580.189
18.0512.6570.19
18.1162.6570.19
18.1822.6570.191
18.2482.6570.192
18.3152.6570.192
18.3822.6560.193
18.452.6560.194
18.5192.6560.195
18.5872.6560.195
18.6572.6550.196
18.7272.6550.197
18.7972.6550.197
18.8682.6550.198
18.9392.6540.199
19.0112.6540.2
19.0842.6540.2
19.1572.6530.201
19.2312.6530.202
19.3052.6520.202
19.382.6520.203
19.4552.6520.204
19.5312.6510.205
19.6082.6510.205
19.6852.650.206
19.7632.650.207
19.8412.6490.208
19.922.6480.209
20.02.6480.209
20.082.6470.21
20.1612.6460.211
20.2432.6450.212
20.3252.6440.213
20.4082.6430.213
20.4922.6420.214
20.5762.6410.215
20.6612.640.216
20.7472.6390.217
20.8332.6370.218
20.9212.6360.219
21.0082.6340.22
21.0972.6320.221
21.1862.630.222
21.2772.6280.223
21.3682.6250.224
21.4592.6230.225
21.5522.6190.227
21.6452.6160.228
21.7392.6120.23
21.8342.6070.232
21.932.6020.235
22.0262.5960.238
22.1242.590.243
22.2222.5830.248
22.3212.5750.254
22.4222.5670.263
22.5232.5590.273
22.6242.5510.286
22.7272.5440.302
22.8312.5390.32
22.9362.5360.341
23.0412.5360.364
23.1482.5410.389
23.2562.550.414
23.3642.5640.439
23.4742.5830.462
23.5852.6070.482
23.6972.6350.498
23.812.6660.508
23.9232.6980.513
24.0382.7310.512
24.1552.7630.505
24.2722.7920.493
24.392.8170.477
24.512.8390.457
24.6312.8560.435
24.7522.8680.411
24.8762.8760.387
25.02.8790.365

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
—