Optical constants

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

Herguedas and Carretero 2023: SiO1.71; 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
1.86508
Extinction coefficient k
0.201
Permittivity ε1
3.43812
Permittivity ε2
0.749762
Absorption coefficient α
2255.21 cm⁻¹
Penetration depth δ = λ/(2πk)
8868.34 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.28 µm⁻¹
Group index ng
5.00108
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: SiO1.71; n,k 5.0–25 µm
si_o = ls.fetch_refractiveindex("other", "Si-O", "Herguedas-SiO1.71", 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

SiO1.71. Sputtered Si with 40 sccm O2 and 160 sccm Ar, which is equivalent to a oxygen partial pressure of 3.2 × 10-4 mbar and a total pressure of 1.7 × 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: SiO1.71; n,k 5.0–25 µm: n and k versus wavelength
λ (µm)nk
5.01.3870.001
5.0051.3870.001
5.011.3870.001
5.0151.3860.001
5.021.3860.001
5.0251.3860.001
5.031.3850.001
5.0351.3850.001
5.041.3850.001
5.0451.3850.001
5.0511.3840.001
5.0561.3840.001
5.0611.3840.001
5.0661.3840.001
5.0711.3830.001
5.0761.3830.001
5.0811.3830.001
5.0861.3820.001
5.0921.3820.001
5.0971.3820.001
5.1021.3820.001
5.1071.3810.001
5.1121.3810.001
5.1181.3810.001
5.1231.380.001
5.1281.380.001
5.1331.380.001
5.1391.380.001
5.1441.3790.001
5.1491.3790.001
5.1551.3790.001
5.161.3780.001
5.1651.3780.001
5.1711.3780.001
5.1761.3770.001
5.1811.3770.001
5.1871.3770.001
5.1921.3760.001
5.1981.3760.001
5.2031.3760.001
5.2081.3760.001
5.2141.3750.001
5.2191.3750.001
5.2251.3750.001
5.231.3740.001
5.2361.3740.001
5.2411.3740.001
5.2471.3730.001
5.2521.3730.001
5.2581.3730.001
5.2631.3720.001
5.2691.3720.001
5.2741.3720.001
5.281.3710.001
5.2851.3710.001
5.2911.3710.001
5.2971.370.001
5.3021.370.001
5.3081.370.001
5.3131.3690.001
5.3191.3690.001
5.3251.3690.001
5.331.3680.001
5.3361.3680.001
5.3421.3670.001
5.3481.3670.001
5.3531.3670.001
5.3591.3660.001
5.3651.3660.001
5.3711.3660.001
5.3761.3650.001
5.3821.3650.001
5.3881.3650.001
5.3941.3640.001
5.41.3640.001
5.4051.3630.001
5.4111.3630.001
5.4171.3630.001
5.4231.3620.001
5.4291.3620.001
5.4351.3620.001
5.4411.3610.001
5.4471.3610.001
5.4531.360.001
5.4591.360.001
5.4641.360.001
5.471.3590.001
5.4761.3590.001
5.4821.3580.001
5.4881.3580.001
5.4951.3580.001
5.5011.3570.001
5.5071.3570.001
5.5131.3560.001
5.5191.3560.001
5.5251.3550.001
5.5311.3550.001
5.5371.3550.001
5.5431.3540.001
5.5491.3540.001
5.5561.3530.001
5.5621.3530.001
5.5681.3520.001
5.5741.3520.001
5.581.3520.001
5.5871.3510.001
5.5931.3510.001
5.5991.350.001
5.6051.350.001
5.6121.3490.001
5.6181.3490.001
5.6241.3480.001
5.6311.3480.001
5.6371.3470.001
5.6431.3470.001
5.651.3460.001
5.6561.3460.001
5.6631.3460.001
5.6691.3450.001
5.6751.3450.001
5.6821.3440.001
5.6881.3440.001
5.6951.3430.001
5.7011.3430.001
5.7081.3420.001
5.7141.3420.001
5.7211.3410.001
5.7271.3410.001
5.7341.340.001
5.7411.340.001
5.7471.3390.001
5.7541.3390.001
5.761.3380.001
5.7671.3370.001
5.7741.3370.001
5.781.3360.001
5.7871.3360.001
5.7941.3350.001
5.81.3350.001
5.8071.3340.001
5.8141.3340.001
5.8211.3330.001
5.8281.3330.001
5.8341.3320.001
5.8411.3310.001
5.8481.3310.001
5.8551.330.001
5.8621.330.001
5.8691.3290.001
5.8751.3290.001
5.8821.3280.001
5.8891.3270.001
5.8961.3270.001
5.9031.3260.001
5.911.3260.001
5.9171.3250.001
5.9241.3240.001
5.9311.3240.001
5.9381.3230.001
5.9451.3220.001
5.9521.3220.001
5.9591.3210.001
5.9671.3210.001
5.9741.320.001
5.9811.3190.001
5.9881.3190.001
5.9951.3180.001
6.0021.3170.001
6.011.3170.001
6.0171.3160.002
6.0241.3150.002
6.0311.3150.002
6.0391.3140.002
6.0461.3130.002
6.0531.3120.002
6.0611.3120.002
6.0681.3110.002
6.0751.310.002
6.0831.310.002
6.091.3090.002
6.0981.3080.002
6.1051.3070.002
6.1121.3070.002
6.121.3060.002
6.1271.3050.002
6.1351.3040.002
6.1431.3040.002
6.151.3030.002
6.1581.3020.002
6.1651.3010.002
6.1731.3010.002
6.181.30.002
6.1881.2990.002
6.1961.2980.002
6.2031.2970.002
6.2111.2970.002
6.2191.2960.002
6.2271.2950.002
6.2341.2940.002
6.2421.2930.002
6.251.2920.002
6.2581.2920.002
6.2661.2910.002
6.2741.290.002
6.2811.2890.002
6.2891.2880.002
6.2971.2870.002
6.3051.2860.002
6.3131.2850.002
6.3211.2840.002
6.3291.2830.002
6.3371.2830.002
6.3451.2820.002
6.3531.2810.002
6.3611.280.002
6.3691.2790.002
6.3781.2780.002
6.3861.2770.002
6.3941.2760.002
6.4021.2750.002
6.411.2740.002
6.4181.2730.002
6.4271.2720.002
6.4351.2710.002
6.4431.270.002
6.4521.2690.002
6.461.2680.002
6.4681.2660.002
6.4771.2650.002
6.4851.2640.002
6.4941.2630.002
6.5021.2620.002
6.511.2610.002
6.5191.260.002
6.5271.2590.002
6.5361.2570.002
6.5451.2560.003
6.5531.2550.003
6.5621.2540.003
6.571.2530.003
6.5791.2520.003
6.5881.250.003
6.5961.2490.003
6.6051.2480.003
6.6141.2470.003
6.6231.2450.003
6.6311.2440.003
6.641.2430.003
6.6491.2410.003
6.6581.240.003
6.6671.2390.003
6.6761.2370.003
6.6841.2360.003
6.6931.2350.003
6.7021.2330.003
6.7111.2320.003
6.721.230.003
6.7291.2290.003
6.7391.2270.003
6.7481.2260.003
6.7571.2240.003
6.7661.2230.003
6.7751.2210.003
6.7841.220.003
6.7931.2180.003
6.8031.2170.003
6.8121.2150.003
6.8211.2140.003
6.8311.2120.003
6.841.210.004
6.8491.2090.004
6.8591.2070.004
6.8681.2050.004
6.8781.2030.004
6.8871.2020.004
6.8971.20.004
6.9061.1980.004
6.9161.1960.004
6.9251.1940.004
6.9351.1930.004
6.9441.1910.004
6.9541.1890.004
6.9641.1870.004
6.9741.1850.004
6.9831.1830.004
6.9931.1810.004
7.0031.1790.004
7.0131.1770.004
7.0221.1750.004
7.0321.1730.005
7.0421.170.005
7.0521.1680.005
7.0621.1660.005
7.0721.1640.005
7.0821.1610.005
7.0921.1590.005
7.1021.1570.005
7.1121.1540.005
7.1231.1520.005
7.1331.150.005
7.1431.1470.005
7.1531.1450.005
7.1631.1420.005
7.1741.1390.005
7.1841.1370.006
7.1941.1340.006
7.2051.1310.006
7.2151.1280.006
7.2251.1260.006
7.2361.1230.006
7.2461.120.006
7.2571.1170.006
7.2671.1140.006
7.2781.1110.006
7.2891.1080.007
7.2991.1040.007
7.311.1010.007
7.3211.0980.007
7.3311.0950.007
7.3421.0910.007
7.3531.0880.007
7.3641.0840.007
7.3751.080.008
7.3861.0770.008
7.3961.0730.008
7.4071.0690.008
7.4181.0650.008
7.4291.0610.008
7.441.0570.009
7.4521.0530.009
7.4631.0480.009
7.4741.0440.009
7.4851.0390.009
7.4961.0350.01
7.5081.030.01
7.5191.0250.01
7.531.020.011
7.5411.0150.011
7.5531.010.011
7.5641.0040.012
7.5760.9990.012
7.5870.9930.012
7.5990.9870.013
7.610.9810.014
7.6220.9750.014
7.6340.9690.015
7.6450.9620.015
7.6570.9550.016
7.6690.9480.017
7.680.9410.018
7.6920.9340.019
7.7040.9260.02
7.7160.9180.021
7.7280.910.023
7.740.9020.024
7.7520.8930.026
7.7640.8840.028
7.7760.8740.03
7.7880.8650.032
7.80.8550.035
7.8120.8450.038
7.8250.8340.041
7.8370.8230.044
7.8490.8120.048
7.8620.80.053
7.8740.7880.057
7.8860.7760.063
7.8990.7630.068
7.9110.750.075
7.9240.7360.082
7.9370.7230.09
7.9490.7090.099
7.9620.6950.109
7.9740.6810.119
7.9870.6660.131
8.00.6520.144
8.0130.6380.158
8.0260.6240.173
8.0390.6110.189
8.0520.5980.207
8.0650.5860.226
8.0780.5760.246
8.0910.5660.267
8.1040.5580.289
8.1170.5510.311
8.130.5450.334
8.1430.5410.357
8.1570.5390.381
8.170.5380.404
8.1830.5380.426
8.1970.5390.449
8.210.5420.47
8.2240.5460.492
8.2370.550.512
8.2510.5550.532
8.2640.5610.551
8.2780.5680.569
8.2920.5750.586
8.3060.5820.603
8.3190.590.619
8.3330.5980.634
8.3470.6060.648
8.3610.6140.662
8.3750.6220.675
8.3890.630.687
8.4030.6380.698
8.4180.6450.709
8.4320.6530.72
8.4460.660.73
8.460.6670.739
8.4750.6730.748
8.4890.6780.757
8.5030.6840.765
8.5180.6880.773
8.5320.6920.782
8.5470.6950.79
8.5620.6980.798
8.5760.70.806
8.5910.7010.815
8.6060.7020.824
8.6210.7020.833
8.6360.7010.844
8.6510.70.854
8.6660.6980.866
8.6810.6960.879
8.6960.6940.893
8.7110.6910.908
8.7260.6880.924
8.7410.6860.942
8.7570.6830.961
8.7720.6810.981
8.7870.681.003
8.8030.681.026
8.8180.681.051
8.8340.6821.076
8.850.6851.103
8.8650.6891.131
8.8810.6951.16
8.8970.7031.19
8.9130.7121.22
8.9290.7241.251
8.9450.7371.282
8.9610.7531.314
8.9770.771.345
8.9930.7891.376
9.0090.811.407
9.0250.8341.437
9.0420.8591.467
9.0580.8861.496
9.0740.9151.524
9.0910.9461.551
9.1070.9791.577
9.1241.0131.601
9.1411.0491.624
9.1581.0871.646
9.1741.1261.666
9.1911.1661.684
9.2081.2071.7
9.2251.251.715
9.2421.2931.727
9.2591.3381.738
9.2761.3831.747
9.2941.4291.753
9.3111.4751.757
9.3281.5211.759
9.3461.5681.759
9.3631.6151.756
9.3811.6621.752
9.3981.7091.745
9.4161.7551.735
9.4341.8011.724
9.4521.8461.71
9.471.8911.695
9.4881.9341.677
9.5061.9771.657
9.5242.0191.635
9.5422.0591.612
9.562.0981.586
9.5792.1361.559
9.5972.1721.53
9.6152.2071.5
9.6342.2391.468
9.6532.271.435
9.6712.31.401
9.692.3271.365
9.7092.3531.329
9.7282.3761.292
9.7472.3981.254
9.7662.4171.215
9.7852.4341.177
9.8042.451.137
9.8232.4631.098
9.8432.4741.059
9.8622.4831.019
9.8812.4910.98
9.9012.4960.941
9.9212.4990.903
9.942.5010.865
9.962.5010.827
9.982.4990.791
10.02.4950.755
10.022.490.72
10.042.4830.686
10.062.4750.653
10.0812.4660.621
10.1012.4560.591
10.1212.4440.561
10.1422.4310.533
10.1632.4180.506
10.1832.4030.481
10.2042.3880.457
10.2252.3720.434
10.2462.3560.413
10.2672.3390.392
10.2882.3220.374
10.3092.3050.356
10.3312.2880.34
10.3522.270.325
10.3732.2530.311
10.3952.2350.299
10.4172.2180.288
10.4382.2010.277
10.462.1850.268
10.4822.1680.26
10.5042.1530.252
10.5262.1370.246
10.5492.1220.24
10.5712.1070.235
10.5932.0930.23
10.6162.080.226
10.6382.0670.223
10.6612.0540.22
10.6842.0420.218
10.7072.030.215
10.732.0190.214
10.7532.0090.212
10.7761.9990.211
10.7991.9890.21
10.8231.980.209
10.8461.9710.208
10.871.9620.207
10.8931.9540.206
10.9171.9460.205
10.9411.9380.205
10.9651.930.204
10.9891.9230.204
11.0131.9160.203
11.0381.9090.202
11.0621.9020.202
11.0861.8950.202
11.1111.8880.201
11.1361.8820.201
11.1611.8750.201
11.1861.8690.201
11.2111.8620.201
11.2361.8560.201
11.2611.8490.201
11.2871.8430.201
11.3121.8370.202
11.3381.8310.203
11.3641.8240.204
11.391.8180.205
11.4161.8120.206
11.4421.8070.208
11.4681.8010.21
11.4941.7950.212
11.5211.790.214
11.5471.7850.217
11.5741.780.22
11.6011.7750.223
11.6281.7710.226
11.6551.7670.23
11.6821.7630.234
11.711.7590.238
11.7371.7560.242
11.7651.7540.246
11.7921.7510.25
11.821.7490.255
11.8481.7480.259
11.8761.7470.263
11.9051.7460.268
11.9331.7460.272
11.9621.7460.276
11.991.7470.28
12.0191.7480.284
12.0481.7490.288
12.0771.7510.291
12.1071.7530.294
12.1361.7560.297
12.1651.7590.3
12.1951.7610.302
12.2251.7650.304
12.2551.7680.305
12.2851.7720.306
12.3151.7750.307
12.3461.7790.307
12.3761.7830.307
12.4071.7870.306
12.4381.790.305
12.4691.7940.304
12.51.7980.302
12.5311.8010.3
12.5631.8050.297
12.5941.8080.294
12.6261.8110.291
12.6581.8140.288
12.691.8160.284
12.7231.8180.28
12.7551.820.276
12.7881.8220.272
12.8211.8240.267
12.8531.8250.262
12.8871.8250.258
12.921.8260.253
12.9531.8260.248
12.9871.8260.243
13.0211.8250.238
13.0551.8250.233
13.0891.8240.228
13.1231.8220.223
13.1581.8210.218
13.1931.8190.213
13.2281.8160.209
13.2631.8140.204
13.2981.8110.2
13.3331.8080.196
13.3691.8050.192
13.4051.8020.188
13.4411.7990.184
13.4771.7950.181
13.5141.7910.177
13.551.7880.174
13.5871.7840.171
13.6241.780.169
13.6611.7760.166
13.6991.7710.164
13.7361.7670.162
13.7741.7630.16
13.8121.7590.159
13.851.7550.157
13.8891.750.156
13.9281.7460.155
13.9661.7420.154
14.0061.7380.153
14.0451.7340.152
14.0851.730.152
14.1241.7260.151
14.1641.7220.151
14.2051.7180.151
14.2451.7140.151
14.2861.710.151
14.3271.7070.151
14.3681.7030.151
14.4091.70.152
14.4511.6960.152
14.4931.6930.153
14.5351.6890.153
14.5771.6860.154
14.621.6830.155
14.6631.680.155
14.7061.6770.156
14.7491.6740.157
14.7931.6710.158
14.8371.6680.159
14.8811.6650.16
14.9251.6620.161
14.971.6590.161
15.0151.6570.162
15.061.6540.163
15.1061.6510.164
15.1521.6490.166
15.1981.6460.167
15.2441.6430.168
15.2911.6410.169
15.3371.6380.17
15.3851.6360.171
15.4321.6340.172
15.481.6310.173
15.5281.6290.174
15.5761.6260.175
15.6251.6240.177
15.6741.6220.178
15.7231.6190.179
15.7731.6170.18
15.8231.6150.181
15.8731.6120.182
15.9241.610.183
15.9741.6080.185
16.0261.6050.186
16.0771.6030.187
16.1291.6010.188
16.1811.5980.189
16.2341.5960.191
16.2871.5930.192
16.341.5910.193
16.3931.5890.194
16.4471.5860.196
16.5021.5840.197
16.5561.5810.198
16.6111.5790.199
16.6671.5760.201
16.7221.5730.202
16.7791.5710.203
16.8351.5680.204
16.8921.5650.206
16.9491.5620.207
17.0071.5590.208
17.0651.5570.21
17.1231.5540.211
17.1821.550.212
17.2411.5470.214
17.3011.5440.215
17.3611.5410.217
17.4221.5370.218
17.4831.5340.22
17.5441.530.221
17.6061.5260.223
17.6681.5220.224
17.731.5180.226
17.7941.5140.228
17.8571.510.229
17.9211.5050.231
17.9861.50.233
18.0511.4950.235
18.1161.490.237
18.1821.4850.239
18.2481.4790.241
18.3151.4730.243
18.3821.4670.246
18.451.460.249
18.5191.4530.251
18.5871.4460.254
18.6571.4380.258
18.7271.430.261
18.7971.4210.265
18.8681.4120.269
18.9391.4020.274
19.0111.3920.279
19.0841.3810.285
19.1571.3690.292
19.2311.3570.299
19.3051.3440.308
19.381.330.318
19.4551.3160.329
19.5311.3020.341
19.6081.2870.355
19.6851.2710.372
19.7631.2560.39
19.8411.240.41
19.921.2250.433
20.01.2110.459
20.081.1980.488
20.1611.1870.519
20.2431.1770.553
20.3251.1710.589
20.4081.1670.628
20.4921.1670.668
20.5761.170.71
20.6611.1780.753
20.7471.190.796
20.8331.2060.838
20.9211.2260.88
21.0081.250.921
21.0971.2770.96
21.1861.3090.997
21.2771.3431.031
21.3681.3811.063
21.4591.4211.092
21.5521.4631.117
21.6451.5081.14
21.7391.5541.159
21.8341.6021.174
21.931.651.186
22.0261.71.194
22.1241.7491.198
22.2221.7991.198
22.3211.8481.195
22.4221.8971.189
22.5231.9441.179
22.6241.9911.165
22.7272.0361.148
22.8312.0791.129
22.9362.121.106
23.0412.1591.081
23.1482.1961.054
23.2562.231.024
23.3642.2610.993
23.4742.290.96
23.5852.3160.925
23.6972.3390.89
23.812.3580.854
23.9232.3750.817
24.0382.3890.78
24.1552.4010.744
24.2722.4090.707
24.392.4150.671
24.512.4180.636
24.6312.4190.602
24.7522.4170.568
24.8762.4140.537
25.02.4080.506

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
—