Optical constants

Refractive index of Au (Gold)

Olmon et al. 2012: Template-stripped gold; n,k 0.300–24.9 µm

Data
tabulated nk
Range
0.3–24.93 µm
Points
448
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–24.93 µm
Refractive index n
0.24388
Extinction coefficient k
3.05796
Permittivity ε1
-9.29164
Permittivity ε2
1.49155
Absorption coefficient α
653973 cm⁻¹
Penetration depth δ = λ/(2πk)
30.5823 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.95 µm⁻¹
Group index ng
1.3897
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
2.11001 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

# Au (Gold): Olmon et al. 2012: Template-stripped gold; n,k 0.300–24.9 µm
au = ls.fetch_refractiveindex("main", "Au", "Olmon-ts", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (300, 24930) nm
eps = au.eps([633])  # 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

Template-stripped gold

References

R. L. Olmon, B. Slovick, T. W. Johnson, D. Shelton, S.-H. Oh, G. D. Boreman, M. B. Raschke. Optical dielectric function of gold. Phys. Rev. B 86, 235147 (2012) (See Supplemental Material)

Cite

Robert L. Olmon et al.. Optical dielectric function of gold. Physical Review B, 86, 235147 (2012), doi:10.1103/physrevb.86.235147; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

448 rows as published
Au (Gold), Olmon et al. 2012: Template-stripped gold; n,k 0.300–24.9 µm: n and k versus wavelength
λ (µm)nk
0.31.6671.934
0.311.7191.937
0.321.7541.921
0.331.7671.895
0.341.7591.871
0.351.7321.858
0.361.6961.862
0.371.6641.885
0.381.6451.918
0.391.6421.945
0.41.6451.956
0.411.6411.95
0.421.6211.936
0.431.591.925
0.441.5561.915
0.451.521.893
0.461.4661.85
0.471.3721.795
0.481.2271.756
0.491.0411.764
0.50.84631.836
0.510.6781.962
0.520.55072.115
0.530.462.274
0.540.39532.427
0.550.34762.573
0.560.31112.71
0.570.28222.841
0.580.25872.966
0.590.23923.087
0.60.22283.203
0.610.2093.316
0.620.19733.426
0.630.18743.534
0.640.17893.639
0.650.17173.742
0.660.16563.844
0.670.16043.943
0.680.15614.042
0.690.15244.138
0.70.14944.234
0.710.1474.328
0.720.1454.422
0.730.14354.514
0.740.14244.605
0.750.14164.696
0.760.14114.786
0.770.1414.875
0.780.1414.963
0.790.14145.05
0.80.14195.137
0.810.14265.224
0.820.14355.31
0.830.14455.395
0.840.14575.48
0.850.14715.565
0.860.14865.649
0.870.15015.732
0.880.15185.815
0.890.15365.898
0.90.15555.981
0.910.15756.063
0.920.15966.145
0.930.16176.227
0.940.16396.308
0.950.16626.389
0.960.16866.47
0.970.1716.55
0.980.17346.63
0.990.1766.711
1.00.17866.79
1.010.18126.87
1.020.18396.949
1.030.18667.029
1.040.18947.108
1.050.19237.186
1.060.19517.265
1.070.1987.344
1.080.2017.422
1.090.2047.5
1.10.2077.578
1.110.21017.656
1.120.21327.734
1.130.21637.811
1.140.21957.889
1.150.22277.966
1.160.2268.043
1.170.22928.121
1.180.23258.198
1.190.23598.274
1.20.23928.351
1.210.24268.428
1.220.24618.504
1.230.24958.581
1.240.2538.657
1.250.25658.733
1.260.268.809
1.270.26368.885
1.280.26728.961
1.290.27089.037
1.30.27449.113
1.310.27819.189
1.320.28139.262
1.330.28459.336
1.340.28789.41
1.350.2919.483
1.430.321410.08
1.440.324910.15
1.450.328410.23
1.460.331910.3
1.470.335510.37
1.480.33910.44
1.490.342610.51
1.50.346210.59
1.510.349810.66
1.520.353510.73
1.530.357110.8
1.540.360810.87
1.550.364610.94
1.560.368311.02
1.570.372111.09
1.580.375911.16
1.590.379711.23
1.60.383511.3
1.610.387411.37
1.620.391311.44
1.630.395211.51
1.640.399111.58
1.650.403111.66
1.660.407111.73
1.670.411211.8
1.680.415211.87
1.690.419311.94
1.70.423412.01
1.710.427612.08
1.720.431712.15
1.730.435912.22
1.740.440212.29
1.750.444412.36
1.760.448712.43
1.770.453112.5
1.780.457412.57
1.790.461812.64
1.80.466312.71
1.810.470812.78
1.820.475212.85
1.830.479812.92
1.840.484412.99
1.850.48913.06
1.860.493613.13
1.870.498313.2
1.880.50313.27
1.890.507813.34
1.90.512613.41
1.910.517513.48
1.920.522313.55
1.930.527313.62
1.940.532213.69
1.950.537313.75
1.960.542413.82
1.970.547413.89
1.980.552613.96
1.990.557814.03
2.00.562214.09
2.0070.566714.15
2.0190.573614.24
2.0250.577114.28
2.0380.584214.38
2.0450.587814.42
2.0580.595214.52
2.0640.598914.56
2.0770.606414.66
2.0840.610214.71
2.0980.61814.8
2.1040.621914.85
2.1180.629914.95
2.1250.633915.0
2.1390.642115.1
2.1460.646315.15
2.1530.650515.2
2.1680.659115.31
2.1750.663415.36
2.190.672215.46
2.1970.676715.52
2.2050.681215.57
2.220.690315.68
2.2270.69515.73
2.2350.699715.79
2.2430.704415.84
2.2580.714115.95
2.2660.71916.01
2.2740.723916.07
2.2820.728916.13
2.2980.739116.24
2.3070.744216.3
2.3150.749416.36
2.3230.754716.42
2.340.765416.54
2.3480.770816.6
2.3570.776316.66
2.3650.781916.72
2.3740.787516.78
2.3830.793216.84
2.3920.798916.91
2.4090.810617.03
2.4180.816517.1
2.4270.822517.16
2.4370.828617.23
2.4460.834717.29
2.4550.840917.36
2.4640.847217.43
2.4740.853517.49
2.4830.859917.56
2.4930.866417.63
2.5020.87317.7
2.5120.879617.77
2.5220.886317.84
2.5320.893117.91
2.5420.899917.98
2.5520.906918.05
2.5620.913918.12
2.5720.92118.19
2.5820.928218.26
2.5930.935518.34
2.6030.942818.41
2.6130.950318.49
2.6240.957818.56
2.6350.965518.64
2.6450.973218.71
2.6560.98118.79
2.6670.988918.87
2.6780.996918.95
2.6891.00519.03
2.7011.01319.1
2.7121.02219.18
2.7231.0319.27
2.7351.03819.35
2.7461.04719.43
2.7581.05619.51
2.771.06519.6
2.7821.07419.68
2.7941.08319.76
2.8061.09219.85
2.8181.10119.94
2.831.11120.02
2.8431.1220.11
2.8551.1320.2
2.8681.13920.29
2.8811.14920.38
2.8931.15920.47
2.9061.1720.56
2.9191.1820.65
2.9331.1920.75
2.9461.20120.84
2.9591.21220.94
2.9731.22321.03
2.9871.23421.13
3.0011.24521.23
3.0151.25621.32
3.0291.26721.42
3.0431.27921.52
3.0571.29121.63
3.0721.30321.73
3.0861.31521.83
3.1011.32721.93
3.1161.3422.04
3.1311.35222.15
3.1461.36522.25
3.1621.37822.36
3.1771.39122.47
3.1931.40522.58
3.2091.41822.69
3.2241.43222.8
3.2411.44622.92
3.2571.4623.03
3.2731.47523.14
3.291.48923.26
3.3071.50423.38
3.3241.51923.5
3.3411.53423.62
3.3581.5523.74
3.3761.56623.86
3.3931.58223.99
3.4111.59824.11
3.4291.61424.24
3.4471.63124.36
3.4661.64824.49
3.4851.66524.62
3.5031.68324.75
3.5221.70124.89
3.5421.71925.02
3.5611.73725.16
3.5811.75625.29
3.6011.77525.43
3.6211.79425.57
3.6411.81325.72
3.6621.83325.86
3.6831.85426.0
3.7041.87426.15
3.7251.89526.3
3.7461.91626.45
3.7681.93826.6
3.791.9626.75
3.8121.98226.91
3.8352.00527.06
3.8582.02827.22
3.8812.05227.38
3.9042.07627.54
3.9282.127.71
3.9522.12527.87
3.9762.1528.04
4.0012.17628.21
4.0262.20228.38
4.0512.22828.56
4.0762.25528.73
4.1022.28328.91
4.1282.31129.09
4.1552.3429.27
4.1812.36929.46
4.2092.39829.64
4.2362.42929.83
4.2642.45930.02
4.2922.49130.22
4.3212.52330.41
4.352.55530.61
4.3792.58930.82
4.4092.62231.02
4.4392.65731.23
4.472.69231.44
4.5012.72831.65
4.5322.76531.86
4.5642.80232.08
4.5972.8432.3
4.6292.87932.53
4.6632.91932.75
4.6972.95932.98
4.7313.033.22
4.7663.04333.45
4.8013.08633.69
4.8373.1333.94
4.8733.17434.18
4.913.2234.43
4.9473.26734.69
4.9863.31534.94
5.0243.36435.2
5.0633.41435.47
5.1033.46535.74
5.1443.51736.01
5.1853.57136.29
5.2273.62536.57
5.2693.68136.85
5.3123.73837.14
5.3563.79737.44
5.4013.85637.74
5.4463.91838.04
5.4933.9838.35
5.5394.04438.66
5.5874.1138.98
5.6364.17739.3
5.6854.24639.63
5.7364.31739.97
5.7874.38940.31
5.8394.46340.65
5.8924.53941.0
5.9464.61741.36
6.0014.69641.72
6.0574.77842.09
6.1144.86242.47
6.1734.94842.85
6.2325.03743.24
6.2925.12743.63
6.3545.2244.04
6.4175.31644.45
6.4815.41444.86
6.5475.51545.29
6.6135.61945.72
6.6825.72546.16
6.7515.83546.61
6.8225.94747.07
6.8956.06347.54
6.9696.18248.01
7.0456.30448.5
7.1226.4348.99
7.2016.5649.49
7.2826.69350.01
7.3656.83150.53
7.456.97251.07
7.5367.11851.62
7.6257.26952.17
7.7167.42452.74
7.8097.58453.32
7.9047.74853.92
8.0017.91954.53
8.1018.09455.15
8.2048.27555.78
8.3098.46256.43
8.4178.65557.09
8.5288.85557.77
8.6429.06158.46
8.7589.27459.17
8.8789.49559.9
9.0029.72260.64
9.1289.95861.4
9.25910.262.18
9.39310.4662.98
9.53110.7263.8
9.67310.9964.64
9.8211.2765.5
9.97111.5666.38
10.1311.8667.28
10.2912.1768.21
10.4512.569.17
10.6312.8470.15
10.813.1971.15
10.9913.5572.19
11.1713.9373.25
11.3714.3274.34
11.5714.7375.47
11.7815.1576.62
12.015.5977.82
12.2316.0579.04
12.4616.5380.31
12.7117.0381.62
12.9617.5482.96
13.2318.0884.35
13.518.6585.78
13.7919.2387.27
14.0919.8488.8
14.420.4890.38
14.7321.1592.02
15.0721.8493.72
15.4322.5795.48
15.8123.3297.31
16.224.1199.21
16.6224.94101.2
17.0625.8103.2
17.5226.7105.4
18.027.65107.6
18.5228.63109.9
19.0629.66112.3
19.6430.74114.9
20.2531.86117.5
20.9133.04120.3
21.634.27123.3
22.3535.55126.4
23.1536.9129.6
24.038.3133.1
24.9339.76136.8

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
—