Optical constants

Refractive index of Au (Gold)

Rosenblatt et al. 2020: 11-nm film; n,k 0.25–2.0 µm

Data
tabulated nk
Range
0.3–2 µm
Points
171
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2 µm
Refractive index n
0.439751
Extinction coefficient k
3.08102
Permittivity ε1
-9.2993
Permittivity ε2
2.70976
Absorption coefficient α
658905 cm⁻¹
Penetration depth δ = λ/(2πk)
30.3534 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
2.93101 µm⁻¹
Group index ng
-1.28251
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): Rosenblatt et al. 2020: 11-nm film; n,k 0.25–2.0 µm
au = ls.fetch_refractiveindex("main", "Au", "Rosenblatt-11nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (300, 2000) 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

11 nm Au film. Measured using a J.A Woollam VASE ellipsometer at room temperature.

Conditions

film thickness
11e-9
substrate
SiO2

References

G. Rosenblatt, B. Simkhovich, G. Bartal, M. Orenstein. Nonmodal plasmonics: Controlling the forced optical response of nanostructures. Phys. Rev. X 10, 011071 (2020) (See supplemental materials)

Cite

Gilad Rosenblatt, Boris Simkhovich, Guy Bartal and Meir Orenstein. Nonmodal Plasmonics: Controlling the Forced Optical Response of Nanostructures. Physical Review X, 10, 011071 (2020), doi:10.1103/physrevx.10.011071; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

171 rows as published
Au (Gold), Rosenblatt et al. 2020: 11-nm film; n,k 0.25–2.0 µm: n and k versus wavelength
λ (µm)nk
0.31.032652251.47591683
0.311.085240541.46229826
0.321.083545041.45253483
0.331.055741781.47554626
0.341.03246141.52804546
0.351.025698121.59251762
0.361.033139481.65582869
0.371.049053671.71258044
0.381.069098061.76149586
0.391.090622791.80248321
0.41.111861521.8354667
0.411.131256011.86013157
0.421.147027941.87598198
0.431.156876991.8825106
0.441.157720941.87947468
0.451.145470461.86735364
0.461.114928981.84810471
0.471.060078271.82633726
0.480.9753265271.81087472
0.490.858690121.81597106
0.50.717337711.85960044
0.510.571633861.95507331
0.520.4487130392.0997243
0.530.3676673862.27488676
0.540.3331431442.4573873
0.550.3401226012.62564303
0.560.3635497682.76461828
0.570.389594922.88783698
0.580.4174748363.00088513
0.590.4467849213.10632491
0.60.4772480563.20564914
0.610.5086476753.29982985
0.620.5408016253.3895475
0.630.5735501253.47530492
0.640.6067496493.5574904
0.650.6402695813.63641514
0.660.6739902853.71233665
0.670.7078019033.785474
0.680.7416035553.856018
0.690.7753027613.92413821
0.70.8088149773.98998782
0.710.8420631864.05370708
0.720.8749775364.11542586
0.730.9074949814.17526541
0.740.9395589314.2333397
0.750.9711189124.28975641
0.761.002130224.34461768
0.771.03255364.39802063
0.781.062354874.45005786
0.791.091504674.5008177
0.81.119978074.55038456
0.811.14775434.59883907
0.821.174816474.64625832
0.831.201151224.69271597
0.841.226748544.7382824
0.851.251601414.78302486
0.861.275705654.8270075
0.871.29905964.87029155
0.881.321663964.91293537
0.891.343521554.95499456
0.91.364637134.99652205
0.911.38501725.03756817
0.921.404669855.07818076
0.931.423604585.11840523
0.941.441832175.15828466
0.951.459364515.19785985
0.961.47621455.23716946
0.971.492395925.27625
0.981.507923315.315136
0.991.522811875.35386002
1.01.537077385.39245272
1.011.550736085.43094301
1.021.563804615.46935801
1.031.576299955.50772322
1.041.588239295.54606251
1.051.599640055.58439823
1.061.610519755.62275126
1.071.620895975.66114108
1.081.630786355.69958583
1.091.640208495.73810234
1.11.649179915.77670622
1.111.657718065.81541193
1.121.665840225.85423278
1.131.673563545.89318104
1.141.680904955.93226793
1.151.687881175.97150373
1.161.694508686.01089779
1.171.700803696.05045859
1.181.706782156.09019378
1.191.712459696.13011023
1.21.717851646.17021404
1.211.722973036.21051064
1.221.727838546.25100477
1.231.73246256.29170054
1.241.736858946.33260148
1.251.741041486.37371055
1.261.745023456.41503019
1.271.748817766.45656235
1.281.752437016.4983085
1.291.755893416.54026968
1.31.759198826.58244654
1.311.762364756.62483933
1.321.765402356.66744796
1.331.76832246.71027199
1.341.771135346.7533107
1.351.773851276.79656306
1.361.776479946.84002779
1.371.779030766.88370338
1.381.78151286.92758808
1.391.783934836.97167992
1.41.786305277.01597678
1.411.788632237.06047634
1.421.790923527.10517613
1.431.793186667.15007355
1.441.795428857.19516586
1.451.797657017.24045022
1.461.799877787.28592366
1.471.802097547.33158316
1.481.804322397.37742559
1.491.806558187.42344776
1.51.808810497.46964644
1.511.811084687.51601831
1.521.813385877.56256005
1.531.815718937.60926829
1.541.818088527.65613962
1.551.820499117.70317063
1.561.822954927.7503579
1.571.825467.79769799
1.581.828018197.84518746
1.591.830633167.89282287
1.61.833308377.94060081
1.611.836047147.98851787
1.621.83885268.03657064
1.631.841727728.08475576
1.641.844675348.13306988
1.651.847698118.18150966
1.661.850798578.23007182
1.671.85397918.27875309
1.681.857241978.32755025
1.691.86058938.3764601
1.71.86402318.42547949
1.711.867545268.47460531
1.721.871157568.52383447
1.731.874861688.57316395
1.741.878659188.62259076
1.751.882551528.67211194
1.761.88654018.72172461
1.771.890626188.77142591
1.781.894810988.82121302
1.791.899095618.87108318
1.81.903481118.92103367
1.811.907968438.97106183
1.821.912558489.02116503
1.831.917252079.07134069
1.841.922049979.12158627
1.851.926952869.17189929
1.861.931961399.22227732
1.871.937076139.27271796
1.881.942297619.32321885
1.891.947626319.37377771
1.91.953062649.42439225
1.911.9586079.47506028
1.921.96425979.52577962
1.931.970021069.57654815
1.941.975891329.62736376
1.951.981870699.67822443
1.961.987959379.72912814
1.971.994157499.78007294
1.982.000465169.8310569
1.992.006882489.88207814
2.02.013409499.93313482

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
—