Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.0764829
Extinction coefficient k: 3.8587

Permittivity ε₁: -14.8837
Permittivity ε₂: 0.590249

Absorption coefficient α: 825218 cm⁻¹
Penetration depth δ = λ/(2πk): 24.236 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.179533 µm⁻¹

Group index n_g: -0.0290108
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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): Ciesielski et al. 2017: Ag/Ni/SiO2; n,k 0.191–15.8 µm
ag = ls.fetch_refractiveindex("main", "Ag", "Ciesielski-Ni", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ag.range_nm)  # (190.77, 15811) nm
eps = ag.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_7f052b550b13/lightsmith"
ag = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ag.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ag/ciesielski-2017-ni).

# ... load ag as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ag)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

20 nm-thick silver film deposited on SiO₂ substrate with 2 nm-thick Ni wetting interlayer

Conditions

film thickness: 20e-9
substrate: Ni/SiO2

References

A. Ciesielski, L. Skowronski, M. Trzinski, T. Szoplik. Controlling the optical parameters of self-assembled silver films with wetting layers and annealing. Appl. Surf. Sci. 421B, 349-356 (2017) (Numerical data kindly provided by Arkadiusz Ciesielski)

doi:10.1016/j.apsusc.2017.01.039 Controlling the optical parameters of self-assembled silver films with wetting layers and annealing, Applied Surface Science (2017)

Cite

Arkadiusz Ciesielski, Lukasz Skowronski, Marek Trzcinski and Tomasz Szoplik. Controlling the optical parameters of self-assembled silver films with wetting layers and annealing. Applied Surface Science, 421, 349-356 (2017), doi:10.1016/j.apsusc.2017.01.039; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

332 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Ag (Silver), Ciesielski et al. 2017: Ag/Ni/SiO2; n,k 0.191–15.8 µm: n and k versus wavelength
λ (µm)	n	k
0.19077	1.015	1.19
0.19136	1.018	1.194
0.19195	1.021	1.197
0.19255	1.024	1.201
0.19315	1.027	1.204
0.19375	1.03	1.208
0.19436	1.034	1.212
0.19497	1.037	1.215
0.19558	1.04	1.219
0.1962	1.043	1.222
0.19683	1.047	1.225
0.19745	1.05	1.229
0.19808	1.053	1.232
0.19872	1.057	1.236
0.19936	1.06	1.239
0.2	1.063	1.242
0.20065	1.067	1.246
0.2013	1.07	1.249
0.20195	1.074	1.252
0.20261	1.077	1.256
0.20328	1.081	1.259
0.20395	1.084	1.262
0.20462	1.088	1.265
0.2053	1.091	1.268
0.20598	1.095	1.271
0.20667	1.098	1.274
0.20736	1.102	1.277
0.20805	1.106	1.28
0.20875	1.109	1.283
0.20946	1.113	1.286
0.21017	1.117	1.289
0.21088	1.121	1.292
0.2116	1.124	1.295
0.21233	1.128	1.298
0.21306	1.132	1.3
0.21379	1.136	1.303
0.21453	1.14	1.306
0.21528	1.143	1.309
0.21603	1.147	1.311
0.21678	1.151	1.314
0.21754	1.155	1.316
0.21831	1.159	1.319
0.21908	1.163	1.321
0.21986	1.167	1.323
0.22064	1.171	1.326
0.22143	1.175	1.328
0.22222	1.179	1.33
0.22302	1.183	1.333
0.22383	1.187	1.335
0.22464	1.192	1.337
0.22545	1.196	1.339
0.22628	1.2	1.341
0.22711	1.204	1.343
0.22794	1.208	1.345
0.22878	1.212	1.346
0.22963	1.217	1.348
0.23048	1.221	1.35
0.23134	1.225	1.351
0.23221	1.23	1.353
0.23308	1.234	1.354
0.23396	1.238	1.356
0.23485	1.243	1.357
0.23574	1.247	1.358
0.23664	1.251	1.359
0.23755	1.256	1.36
0.23846	1.26	1.361
0.23938	1.265	1.362
0.24031	1.269	1.363
0.24125	1.274	1.364
0.24219	1.279	1.365
0.24314	1.283	1.365
0.24409	1.288	1.365
0.24506	1.292	1.366
0.24603	1.297	1.366
0.24701	1.302	1.366
0.248	1.307	1.366
0.249	1.311	1.366
0.25	1.316	1.365
0.25101	1.321	1.365
0.25203	1.326	1.364
0.25306	1.331	1.364
0.2541	1.336	1.363
0.25514	1.341	1.362
0.2562	1.346	1.36
0.25726	1.351	1.359
0.25833	1.356	1.357
0.25941	1.362	1.355
0.2605	1.367	1.353
0.2616	1.372	1.351
0.26271	1.378	1.348
0.26383	1.383	1.345
0.26496	1.389	1.342
0.26609	1.394	1.338
0.26724	1.4	1.335
0.2684	1.406	1.33
0.26957	1.412	1.326
0.27074	1.418	1.321
0.27193	1.424	1.315
0.27313	1.43	1.309
0.27434	1.436	1.303
0.27556	1.443	1.296
0.27679	1.449	1.288
0.27803	1.456	1.279
0.27928	1.462	1.27
0.28054	1.469	1.26
0.28182	1.476	1.249
0.28311	1.483	1.236
0.2844	1.49	1.223
0.28571	1.496	1.208
0.28704	1.503	1.192
0.28837	1.51	1.174
0.28972	1.516	1.154
0.29108	1.522	1.132
0.29245	1.527	1.108
0.29384	1.532	1.081
0.29524	1.535	1.051
0.29665	1.536	1.018
0.29808	1.534	0.981
0.29952	1.53	0.941
0.30097	1.52	0.897
0.30244	1.505	0.849
0.30392	1.483	0.8
0.30542	1.453	0.749
0.30693	1.415	0.7
0.30846	1.37	0.653
0.31	1.318	0.606
0.31156	1.241	0.559
0.31313	1.185	0.556
0.31472	1.134	0.521
0.31633	1.061	0.481
0.31795	0.971	0.45
0.31959	0.867	0.435
0.32124	0.756	0.439
0.32292	0.643	0.465
0.32461	0.534	0.515
0.32632	0.44	0.587
0.32804	0.368	0.672
0.32979	0.318	0.757
0.33155	0.284	0.838
0.33333	0.261	0.913
0.33514	0.245	0.981
0.33696	0.235	1.044
0.3388	0.229	1.101
0.34066	0.226	1.154
0.34254	0.224	1.202
0.34444	0.224	1.246
0.34637	0.225	1.286
0.34831	0.225	1.323
0.35028	0.226	1.357
0.35227	0.226	1.388
0.35429	0.224	1.417
0.35632	0.221	1.445
0.35838	0.216	1.471
0.36047	0.21	1.497
0.36257	0.203	1.523
0.36471	0.194	1.55
0.36686	0.184	1.578
0.36905	0.174	1.606
0.37126	0.164	1.636
0.37349	0.154	1.666
0.37576	0.144	1.697
0.37805	0.135	1.729
0.38037	0.127	1.762
0.38272	0.119	1.795
0.38509	0.112	1.828
0.3875	0.106	1.862
0.38994	0.101	1.895
0.39241	0.096	1.928
0.3949	0.091	1.962
0.39744	0.087	1.995
0.4	0.084	2.029
0.4026	0.081	2.062
0.40523	0.078	2.095
0.40789	0.075	2.128
0.4106	0.073	2.161
0.41333	0.071	2.194
0.41611	0.07	2.227
0.41892	0.068	2.26
0.42177	0.067	2.293
0.42466	0.066	2.326
0.42759	0.065	2.359
0.43056	0.064	2.392
0.43357	0.063	2.425
0.43662	0.062	2.459
0.43972	0.062	2.492
0.44286	0.061	2.525
0.44604	0.061	2.559
0.44928	0.061	2.592
0.45255	0.06	2.626
0.45588	0.06	2.66
0.45926	0.06	2.694
0.46269	0.06	2.729
0.46617	0.06	2.763
0.4697	0.06	2.798
0.47328	0.06	2.833
0.47692	0.061	2.868
0.48062	0.061	2.904
0.48438	0.061	2.94
0.48819	0.061	2.976
0.49206	0.062	3.012
0.496	0.062	3.049
0.5	0.063	3.087
0.50407	0.063	3.124
0.5082	0.063	3.162
0.5124	0.064	3.2
0.51667	0.065	3.239
0.52101	0.065	3.278
0.52542	0.066	3.318
0.52991	0.067	3.358
0.53448	0.067	3.399
0.53913	0.068	3.44
0.54386	0.069	3.482
0.54867	0.07	3.524
0.55357	0.07	3.566
0.55856	0.071	3.61
0.56364	0.072	3.654
0.56881	0.073	3.698
0.57407	0.074	3.743
0.57944	0.075	3.789
0.58491	0.076	3.836
0.59048	0.077	3.883
0.59615	0.079	3.931
0.60194	0.08	3.979
0.60784	0.081	4.029
0.61386	0.082	4.079
0.62	0.084	4.13
0.62626	0.085	4.182
0.63265	0.086	4.235
0.63918	0.088	4.289
0.64583	0.089	4.344
0.65263	0.091	4.399
0.65957	0.093	4.456
0.66667	0.094	4.514
0.67391	0.096	4.573
0.68132	0.098	4.633
0.68889	0.1	4.694
0.69663	0.102	4.756
0.70455	0.104	4.82
0.71264	0.106	4.885
0.72093	0.108	4.951
0.72941	0.111	5.019
0.7381	0.113	5.088
0.74699	0.116	5.159
0.7561	0.118	5.231
0.76543	0.121	5.305
0.775	0.124	5.381
0.78481	0.126	5.458
0.79487	0.129	5.537
0.80519	0.132	5.618
0.81579	0.136	5.701
0.82667	0.139	5.786
0.83784	0.143	5.873
0.84932	0.146	5.963
0.86111	0.15	6.054
0.87324	0.154	6.149
0.88571	0.158	6.245
0.89855	0.163	6.344
0.91176	0.167	6.447
0.92537	0.172	6.551
0.93939	0.177	6.659
0.95385	0.182	6.77
0.96875	0.188	6.885
0.98413	0.193	7.003
1.0	0.199	7.124
1.0164	0.206	7.249
1.0333	0.212	7.379
1.0508	0.219	7.512
1.069	0.226	7.65
1.0877	0.234	7.793
1.1071	0.242	7.94
1.1273	0.251	8.093
1.1481	0.26	8.251
1.1698	0.27	8.414
1.1923	0.28	8.584
1.2157	0.29	8.761
1.24	0.302	8.944
1.2653	0.314	9.134
1.2917	0.327	9.332
1.3191	0.341	9.538
1.3478	0.355	9.754
1.4419	0.405	10.457
1.4762	0.424	10.713
1.5122	0.445	10.982
1.5398	0.461	11.187
1.55	0.467	11.263
1.5773	0.483	11.466
1.5897	0.491	11.559
1.6166	0.507	11.759
1.6316	0.516	11.87
1.658	0.533	12.066
1.6757	0.544	12.197
1.7015	0.561	12.388
1.7222	0.574	12.542
1.7474	0.591	12.728
1.7714	0.607	12.906
1.7958	0.623	13.086
1.8235	0.643	13.292
1.8469	0.659	13.465
1.8788	0.681	13.7
1.9011	0.697	13.865
1.9375	0.724	14.133
1.9585	0.739	14.288
2.0	0.771	14.594
2.0195	0.786	14.738
2.0845	0.836	15.215
2.1537	0.892	15.724
2.2277	0.953	16.267
2.307	1.021	16.847
2.3921	1.096	17.47
2.4838	1.181	18.139
2.5827	1.275	18.86
2.6899	1.381	19.639
2.8064	1.501	20.484
2.9333	1.637	21.404
3.0724	1.793	22.407
3.2252	1.972	23.507
3.3941	2.18	24.719
3.5816	2.421	26.059
3.7911	2.705	27.549
4.0265	3.041	29.215
4.2932	3.444	31.091
4.5977	3.932	33.218
4.9486	4.53	35.647
5.3576	5.273	38.448
5.8403	6.212	41.709
6.4185	7.42	45.551
7.1239	9.008	50.134
8.0033	11.147	55.683
9.1305	14.112	62.519
10.627	18.367	71.101
12.711	24.718	82.117
15.811	34.658	96.62

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Plot