Optical constants

Refractive index of Ag (Silver)

Windt et al. 1988: n,k 0.0024–0.122 µm

Data
tabulated nk
Range
0.00236–0.1216 µm
Points
36
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.00236–0.1216 µm
Refractive index n
0.862799
Extinction coefficient k
0.27624
Permittivity ε1
0.668114
Permittivity ε2
0.47668
Absorption coefficient α
2.05404e+06 cm⁻¹
Penetration depth δ = λ/(2πk)
9.73689 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.835655 µm⁻¹
Group index ng
0.848677
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
73.3634 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): Windt et al. 1988: n,k 0.0024–0.122 µm
ag = ls.fetch_refractiveindex("main", "Ag", "Windt", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ag.range_nm)  # (2.36, 121.57) nm
eps = ag.eps([16.9])  # 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

Optical constants are derived from reflectance vs angle of incidence measurements using a nonlinear least-squares curve-fitting technique based on the χ2 test

References

D. L. Windt, W. C. Cash, M. Scott, P. Arendt, B. Newnam, R. F. Fisher, A. B. Swartzlander. Optical constants for thin films of Ti, Zr, Nb, Mo, Ru, Rh, Pd, Ag, Hf, Ta, W, Re, Ir, Os, Pt, and Au from 24 Å to 1216 Å. Appl. Opt. 27, 246-278 (1988)
  • doi:10.1364/ao.27.000246 Optical constants for thin films of Ti, Zr, Nb, Mo, Ru, Rh, Pd, Ag, Hf, Ta, W, Re, Ir, Os, Pt, and Au from 24 Å to 1216 Å, Applied Optics (1988)

Cite

David L. Windt et al.. Optical constants for thin films of Ti, Zr, Nb, Mo, Ru, Rh, Pd, Ag, Hf, Ta, W, Re, Ir, Os, Pt, and Au from 24 Å to 1216 Å. Applied Optics, 27, 246 (1988), doi:10.1364/ao.27.000246; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

36 rows as published
Ag (Silver), Windt et al. 1988: n,k 0.0024–0.122 µm: n and k versus wavelength
λ (µm)nk
0.002360.996670.00774
0.003160.99770.0053
0.004470.991980.00237
0.006760.98130.00291
0.01140.91720.00818
0.013550.860.0423
0.017140.8630.293
0.02430.9280.31
0.025630.9270.346
0.030380.8950.302
0.03270.8940.304
0.035680.8720.351
0.037930.8960.427
0.040590.9530.451
0.044780.8890.425
0.046070.8480.446
0.048950.8330.507
0.053911.040.746
0.058431.090.658
0.061631.060.564
0.067141.030.586
0.071850.9820.596
0.073591.130.751
0.074371.170.721
0.083451.280.75
0.08781.370.688
0.091981.320.657
0.093211.270.625
0.098881.320.586
0.102581.230.571
0.104821.270.577
0.106671.30.565
0.108571.30.55
0.11351.330.518
0.120071.270.49
0.121571.210.515

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
—