Optical constants

Refractive index of Ag (Silver)

Choi et al. 2020: n,k 1.23–6.99 µm

Data
tabulated nk
Range
1.231–6.988 µm
Points
84
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 1.231–6.988 µm
Refractive index n
0.936493
Extinction coefficient k
21.4293
Permittivity ε1
-458.34
Permittivity ε2
40.1369
Absorption coefficient α
919076 cm⁻¹
Penetration depth δ = λ/(2πk)
21.761 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.637681 µm⁻¹
Group index ng
-0.931913
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.423154 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

# Ag (Silver): Choi et al. 2020: n,k 1.23–6.99 µm
ag = ls.fetch_refractiveindex("main", "Ag", "Choi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ag.range_nm)  # (1231, 6988) nm
eps = ag.eps([2930])  # 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

Epitaxially grown, atomically smooth, single crystalline thick Ag film. Room temperature.

References

J. Choi, F. Cheng, J. W. Cleary, L. Sun, C. K. Dass, J. R. Hendrickson, C.-Y. Wang, S. Gwo, C.-K. Shih, X. Li. Optical dielectric constants of single crystalline silver films in the long wavelength range, Opt. Mater. Express 10, 693-703 (2020) (See supplementary materials)

Cite

J. Choi, F. Cheng, J. W. Cleary, L. Sun, C. K. Dass, J. R. Hendrickson, C.-Y. Wang, S. Gwo, C.-K. Shih, X. Li. Optical dielectric constants of single crystalline silver films in the long wavelength range, Opt. Mater. Express 10, 693-703 (2020) (See supplementary materials); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

84 rows as published
Ag (Silver), Choi et al. 2020: n,k 1.23–6.99 µm: n and k versus wavelength
λ (µm)nk
1.2310.1698.852
1.2430.1738.946
1.2560.1769.041
1.2690.1799.137
1.2820.1839.235
1.2950.1879.336
1.3090.1919.439
1.3230.1959.543
1.3370.1999.65
1.3520.2039.76
1.3660.2089.871
1.3820.2129.985
1.3970.21710.102
1.4130.22210.221
1.4290.22710.343
1.4460.23210.467
1.4630.23710.595
1.4810.24310.725
1.4990.24910.859
1.5170.25510.996
1.5360.26111.136
1.5550.26711.279
1.5750.27411.427
1.5950.28111.577
1.6160.28911.732
1.6370.29611.891
1.6590.30412.053
1.6810.31212.221
1.7050.3212.392
1.7280.32912.569
1.7530.33912.75
1.7780.34812.937
1.8040.35813.129
1.830.36913.327
1.8580.3813.53
1.8860.39113.739
1.9150.40313.955
1.9450.41614.177
1.9760.42914.407
2.0080.44314.643
2.0410.45814.888
2.0750.47315.14
2.1110.48915.402
2.1470.50615.672
2.1850.52415.951
2.2240.54216.24
2.2650.56216.54
2.3070.58316.851
2.3510.60517.173
2.3960.62917.508
2.4440.65417.855
2.4930.6818.217
2.5440.70818.593
2.5970.73718.985
2.6530.76919.393
2.7110.80319.819
2.7710.83920.264
2.8350.87720.729
2.9010.91821.215
2.970.96221.725
3.0431.0122.258
3.121.06122.819
3.21.11623.408
3.2851.17524.028
3.3751.23924.681
3.4691.30925.371
3.5691.38426.098
3.6751.46726.869
3.7871.55727.686
3.9061.65528.554
4.0331.76429.477
4.1691.88330.461
4.3142.01531.513
4.4692.16132.638
4.6362.32333.846
4.8162.50435.144
5.0112.70836.547
5.2222.93738.063
5.4523.19639.71
5.7023.49141.502
5.9773.82943.463
6.284.21845.613
6.6154.66947.986
6.9885.19650.611

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
—