Optical constants

Refractive index of Au (Gold)

Babar and Weaver 2015: n,k 0.2066–12.40 µm

Data
tabulated nk
Range
0.2066–12.4 µm
Points
69
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.2066–12.4 µm
Refractive index n
0.188872
Extinction coefficient k
2.84751
Permittivity ε1
-8.07263
Permittivity ε2
1.07563
Absorption coefficient α
608966 cm⁻¹
Penetration depth δ = λ/(2πk)
32.8426 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-2.34701 µm⁻¹
Group index ng
1.56798
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): Babar and Weaver 2015: n,k 0.2066–12.40 µm
au = ls.fetch_refractiveindex("main", "Au", "Babar", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (206.6, 12400) 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.

References

S. Babar and J. H. Weaver. Optical constants of Cu, Ag, and Au revisited. Appl. Opt. 54, 477-481 (2015)

Cite

Shaista Babar and J. H. Weaver. Optical constants of Cu, Ag, and Au revisited. Applied Optics, 54, 477 (2015), doi:10.1364/ao.54.000477; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

69 rows as published
Au (Gold), Babar and Weaver 2015: n,k 0.2066–12.40 µm: n and k versus wavelength
λ (µm)nk
0.20661.2431.151
0.21011.2351.182
0.21381.2311.21
0.21751.2251.245
0.22141.2271.279
0.22541.2281.311
0.22961.2261.346
0.23391.2281.381
0.23841.231.415
0.24311.2311.458
0.2481.2351.502
0.2531.2481.555
0.25831.2661.607
0.26381.2911.657
0.26951.3211.71
0.27551.3741.757
0.28181.4271.78
0.28831.4731.792
0.29521.5041.798
0.30241.5361.813
0.311.5711.83
0.31791.6151.83
0.32631.6551.816
0.33511.6681.778
0.34441.6421.751
0.35421.611.755
0.36471.591.78
0.37571.5761.801
0.38751.5681.824
0.39991.5691.839
0.41331.5591.825
0.42751.531.811
0.44281.4861.797
0.45921.4571.736
0.47691.2661.56
0.49590.85641.629
0.51660.5021.853
0.53910.3292.249
0.56360.24522.569
0.59040.18232.88
0.61990.13573.204
0.65250.10913.529
0.68880.085243.871
0.72930.076614.242
0.77490.078834.63
0.82660.080195.05
0.88560.0875.517
0.95370.09446.038
1.0330.10186.633
1.1270.10987.332
1.240.13518.142
1.3050.13248.613
1.3780.14889.141
1.4590.16779.72
1.550.189810.35
1.6530.186411.08
1.7710.215911.93
1.9070.251412.89
2.0660.296514.0
2.2540.354215.3
2.480.429616.86
2.7550.529318.72
3.10.559121.09
3.5420.735824.2
4.1331.00428.27
4.9591.44833.95
6.1992.26442.43
8.2664.01856.47
12.48.96484.09

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
—