Optical constants

Refractive index of SiO2 (Silicon dioxide, Silica, Quartz)

Popova et al. 1972: n,k 7–50 µm

Data
tabulated nk
Range
7–50 µm
Points
200
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 7–50 µm
Refractive index n
1.14289
Extinction coefficient k
0.338531
Permittivity ε1
1.1916
Permittivity ε2
0.773809
Absorption coefficient α
2274.92 cm⁻¹
Penetration depth δ = λ/(2πk)
8791.5 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.206075 µm⁻¹
Group index ng
4.99649
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.0663017 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

# SiO2 (Silicon dioxide, Silica, Quartz): Popova et al. 1972: n,k 7–50 µm
sio2 = ls.fetch_refractiveindex("main", "SiO2", "Popova", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sio2.range_nm)  # (7000, 50000) nm
eps = sio2.eps([18700])  # 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

Room temperature.

References

1) S. Popova, T. Tolstykh, V. Vorobev. Optical characteristics of amorphous quartz in the 1400–200 cm-1 region, Opt. Spectrosc. 33, 444–445 (1972), as cited in Ref. 2
2) R. Kitamura, L. Pilon, M. Jonasz. Optical constants of silica glass from extreme ultraviolet to far infrared at near room temperature. Appl. Opt. 33, 8118-8133 (2007)
* Ref. 2 provides a model for calculating optical constants; model parameters are derived by fitting experimental data from Ref. 1.
[Calculation script (Python)]
  • doi:10.1364/ao.46.008118 Optical constants of silica glass from extreme ultraviolet to far infrared at near room temperature, Applied Optics (2007)

Cite

S. Popova, T. Tolstykh, V. Vorobev. Optical characteristics of amorphous quartz in the 1400–200 cm-1 region, Opt. Spectrosc. 33, 444–445 (1972), as cited in Ref. 2; Rei Kitamura, Laurent Pilon and Miroslaw Jonasz. Optical constants of silica glass from extreme ultraviolet to far infrared at near room temperature. Applied Optics, 46, 8118 (2007), doi:10.1364/ao.46.008118; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

200 rows as published
SiO2 (Silicon dioxide, Silica, Quartz), Popova et al. 1972: n,k 7–50 µm: n and k versus wavelength
λ (µm)nk
7.01.08780.00014657
7.03041.07940.00019034
7.0611.07050.00024633
7.09191.06110.00031776
7.12311.05130.00040858
7.15461.0410.0005238
7.18631.03010.00066963
7.21841.01860.00085394
7.25071.00640.0010867
7.28330.993520.0013808
7.31620.979770.0017528
7.34940.96510.0022248
7.38290.94940.0028263
7.41670.932550.0035974
7.45080.91440.0045932
7.48520.894780.00589
7.520.873470.0075944
7.5550.850240.0098548
7.59050.82480.012879
7.62620.796840.016958
7.66230.765990.022496
7.69870.731860.030063
7.73550.694030.040461
7.77260.652130.054834
7.810.605940.07483
7.84790.555770.10281
7.88610.503160.14196
7.92470.452350.19549
7.96360.410830.26352
8.0030.385150.33993
8.04270.375440.41614
8.08290.377460.48707
8.12340.386870.55116
8.16430.400450.60845
8.20570.415880.65957
8.24750.431360.70534
8.28970.445430.74674
8.33230.456830.78491
8.37540.464480.82122
8.4190.467530.85729
8.46290.465390.89502
8.50740.457820.9366
8.55230.445030.98454
8.59770.42781.0416
8.64360.407571.1106
8.690.386571.1948
8.73680.367861.2973
8.78420.35581.4221
8.83210.357371.5739
8.88050.385091.7568
8.92950.459311.9693
8.9790.604212.1947
9.0290.834432.3972
9.07971.13922.531
9.13081.47772.5619
9.18261.79342.4883
9.2352.04182.3453
9.28792.21492.1853
9.34152.34042.0446
9.39572.45511.9245
9.45052.57531.8023
9.50592.69291.6587
9.56212.79061.4893
9.61882.85531.3022
9.67632.88121.1103
9.73452.86940.92626
9.79332.82540.76014
9.85292.75760.61871
9.91322.67530.50502
9.97422.58710.41876
10.0362.50050.35692
10.0992.42060.31485
10.1622.35020.2873
10.2262.290.26937
10.2912.23930.25711
10.3572.19660.24772
10.4242.16020.23944
10.4912.12860.23132
10.5592.10020.22291
10.6292.07420.21413
10.6992.04960.20501
10.772.02580.19574
10.8422.00230.18652
10.9151.97870.17764
10.9891.95470.16942
11.0641.92990.16225
11.141.90430.15662
11.2181.87790.15307
11.2961.85070.1522
11.3751.8230.15468
11.4561.79560.16111
11.5371.76930.17201
11.621.74520.18766
11.7041.72470.20794
11.7891.70940.23225
11.8761.70060.2594
11.9631.69930.28765
12.0521.70580.3149
12.1431.71980.33894
12.2341.74030.3578
12.3271.76540.36994
12.4221.79340.37444
12.5181.82190.37101
12.6151.84910.35998
12.7141.87320.34215
12.8151.89280.31869
12.9171.90680.29102
13.0211.91480.26066
13.1271.91660.22912
13.2341.91230.19781
13.3431.90260.16796
13.4541.8880.14054
13.5661.86960.11627
13.6811.84830.095571
13.7981.82490.078627
13.9161.80030.065388
14.0371.77520.055635
14.1591.75020.049029
14.2841.72570.045171
14.4111.70190.043644
14.5411.67910.044055
14.6721.65710.046059
14.8071.6360.04937
14.9431.61560.053765
15.0821.5960.05908
15.2241.57690.065201
15.3681.55840.072055
15.5161.54020.079595
15.6661.52230.087797
15.8191.50460.096651
15.9751.48710.10615
16.1341.46960.1163
16.2961.45220.12711
16.4621.43470.13857
16.6311.4170.15069
16.8031.3990.16348
16.981.38060.17695
17.1591.36160.19112
17.3431.34170.20603
17.5311.32060.22173
17.7231.2980.23831
17.9191.27310.25592
18.1191.24550.27482
18.3241.21390.29536
18.5341.17710.3182
18.7481.1330.34441
18.9681.07860.37593
19.1931.00960.41654
19.4230.919680.47426
19.6580.801960.56696
19.90.661020.73106
20.1480.542961.0087
20.4010.529751.3988
20.6620.702361.8459
20.9281.10892.2271
21.2021.6882.3816
21.4842.25142.233
21.7722.6071.8824
22.0692.72071.5382
22.3742.72921.324
22.6872.76371.1916
23.012.82911.0507
23.3412.87640.87847
23.6822.87830.69647
24.0342.83440.53099
24.3962.75870.39885
24.7692.66910.30536
25.1532.58110.24658
25.552.50420.21347
25.962.44190.19621
26.3832.39330.18708
26.8192.35560.18128
27.2712.32580.17638
27.7382.30170.17139
28.2212.28160.16602
28.7222.26440.16023
29.242.24940.15409
29.7782.2360.14767
30.3352.2240.14105
30.9142.21290.13429
31.5162.20260.12746
32.1412.1930.1206
32.7922.18380.11377
33.4692.17510.10702
34.1762.16670.10036
34.9122.15850.093854
35.6812.15060.087513
36.4852.14290.081367
37.3262.13530.075437
38.2062.12790.069739
39.1292.12060.064288
40.0982.11350.059095
41.1162.10650.054167
42.1872.09960.049509
43.3152.09290.045123
44.5052.08640.041008
45.7622.080.037162
47.0932.07370.033581
48.5032.06760.030258
50.02.06170.027185

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
—