Optical constants

Refractive index of Ag (Silver)

Rakić et al. 1998: Lorentz-Drude model; n,k 0.248–12.4 µm

Data
tabulated nk
Range
0.248–12.4 µm
Points
200
Licence
CC0-1.0
Lightsmith
bundled

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.248–12.4 µm
Refractive index n
0.137896
Extinction coefficient k
3.4654
Permittivity ε1
-11.99
Permittivity ε2
0.955731
Absorption coefficient α
741109 cm⁻¹
Penetration depth δ = λ/(2πk)
26.9866 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.109852 µm⁻¹
Group index ng
0.0733472
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

# Ag (Silver): Rakić et al. 1998: Lorentz-Drude model; n,k 0.248–12.4 µm
ag = ls.LibraryMaterial(name="Ag", dataset="Rakic-LD")
print(ag.range_nm)  # (247.97, 12398) nm
eps = ag.eps([633])  # complex permittivity

Ships with the library: works offline.

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

Fit of experimental data from several sources to Lorentz-Drude (LD) model

References

A. D. Rakić, A. B. Djurišic, J. M. Elazar, M. L. Majewski. Optical properties of metallic films for vertical-cavity optoelectronic devices. Appl. Opt. 37, 5271-5283 (1998)
[Calculation script (Python)]
  • doi:10.1364/ao.37.005271 Optical properties of metallic films for vertical-cavity optoelectronic devices, Applied Optics (1998)

Cite

Aleksandar D. Rakić, Aleksandra B. Djurišić, Jovan M. Elazar and Marian L. Majewski. Optical properties of metallic films for vertical-cavity optoelectronic devices. Applied Optics, 37, 5271 (1998), doi:10.1364/ao.37.005271; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

200 rows as published
Ag (Silver), Rakić et al. 1998: Lorentz-Drude model; n,k 0.248–12.4 µm: n and k versus wavelength
λ (µm)nk
0.247970.442651.1737
0.252890.500491.3472
0.257910.603041.5244
0.263030.773531.6937
0.268251.04011.8121
0.273581.38881.7832
0.279011.67741.5367
0.284551.75491.1931
0.29021.66190.9143
0.295961.49870.7345
0.301841.31620.63073
0.307831.130.58101
0.313940.943320.57506
0.320170.75910.61282
0.326530.590020.69733
0.333010.456130.81835
0.339620.363290.95187
0.346370.301331.0817
0.353240.259031.203
0.360250.229081.3159
0.367410.207141.4217
0.37470.190621.5219
0.382140.177911.6176
0.389730.167961.7097
0.397460.160071.799
0.405350.153771.886
0.41340.148711.9714
0.421610.144632.0554
0.429980.141362.1384
0.438520.138742.2207
0.447220.136672.3025
0.45610.135072.384
0.465150.133862.4654
0.474390.1332.5469
0.483810.132442.6285
0.493410.132142.7104
0.503210.132082.7927
0.51320.132242.8754
0.523390.132592.9588
0.533780.133113.0428
0.544370.133813.1276
0.555180.134653.2132
0.56620.135653.2996
0.577440.136783.3871
0.588910.138043.4755
0.60060.139433.565
0.612520.140943.6556
0.624680.142573.7474
0.637090.144323.8404
0.649730.146193.9347
0.662630.148174.0303
0.675790.150274.1273
0.68920.152494.2258
0.702890.154824.3257
0.716840.157274.4272
0.731070.159844.5303
0.745590.162534.6349
0.760390.165354.7413
0.775490.168294.8494
0.790880.171364.9593
0.806580.174575.071
0.82260.177915.1845
0.838930.18145.3
0.855580.185035.4175
0.872570.188815.5369
0.889890.192745.6585
0.907560.196845.7821
0.925570.20115.908
0.943950.205546.036
0.962690.210156.1664
0.98180.214956.299
1.00130.219946.4341
1.02120.225126.5716
1.04140.230526.7115
1.06210.236136.8541
1.08320.241966.9992
1.10470.248027.147
1.12660.254327.2975
1.1490.260877.4507
1.17180.267697.6069
1.19510.274777.7659
1.21880.282137.9279
1.2430.289788.0929
1.26770.297748.2609
1.29290.306018.4322
1.31850.31468.6066
1.34470.323548.7844
1.37140.332838.9655
1.39860.342499.15
1.42640.352549.338
1.45470.362989.5296
1.48360.373839.7248
1.5130.385129.9237
1.54310.3968510.126
1.57370.4090510.333
1.6050.4217410.543
1.63680.4349210.758
1.66930.4486310.977
1.70250.4628911.199
1.73630.4777111.427
1.77070.4931211.658
1.80590.5091411.894
1.84170.525812.134
1.87830.5431212.379
1.91560.5611312.629
1.95360.5798512.884
1.99240.5993213.143
2.03190.6195613.407
2.07230.6406113.677
2.11340.6624913.952
2.15540.6852414.231
2.19820.708914.517
2.24180.733514.808
2.28630.7590715.104
2.33170.7856515.406
2.3780.813315.714
2.42520.8420416.028
2.47340.8719216.348
2.52250.9029816.674
2.57250.9352817.006
2.62360.9688517.345
2.67571.003817.69
2.72881.040118.042
2.7831.077818.401
2.83831.11718.766
2.89461.157819.139
2.95211.200219.518
3.01071.244219.905
3.07041.2920.299
3.13141.337620.701
3.19361.387121.111
3.2571.438521.528
3.32161.49221.953
3.38761.547622.386
3.45481.605322.828
3.52341.665423.278
3.59341.727723.736
3.66471.792624.203
3.73751.8624.679
3.81171.9325.164
3.88732.002725.658
3.96452.078326.162
4.04322.156926.674
4.12352.238527.197
4.20532.323327.729
4.28882.411428.271
4.3742.502928.823
4.46082.59829.385
4.54942.696829.958
4.63972.799330.542
4.73182.905931.136
4.82573.016531.741
4.92163.131532.357
5.01933.250832.984
5.11893.374733.623
5.22053.503434.273
5.32423.63734.935
5.42993.775735.609
5.53773.919736.295
5.64764.069236.994
5.75974.224337.705
5.87414.385338.428
5.99074.552339.164
6.10964.725739.914
6.23094.905640.676
6.35465.092241.451
6.48085.285842.24
6.60945.486543.043
6.74075.694843.859
6.87455.910744.689
7.0116.134645.533
7.15026.366746.392
7.29216.607447.265
7.43696.856848.152
7.58457.115249.054
7.73517.383149.97
7.88877.660650.902
8.04537.94851.849
8.2058.245752.81
8.36798.554153.787
8.5348.873354.779
8.70349.203855.787
8.87629.545956.81
9.05249.899957.849
9.232210.26658.903
9.415410.64559.974
9.602411.03761.06
9.79311.44262.162
9.987411.86163.28
10.18612.29464.413
10.38812.74265.563
10.59413.20466.729
10.80413.68267.91
11.01914.17569.108
11.23814.68570.321
11.46115.2171.551
11.68815.75372.796
11.9216.31374.057
12.15716.8975.334
12.39817.48576.626

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
—