Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.071
Extinction coefficient k: 3.56622

Permittivity ε₁: -12.7129
Permittivity ε₂: 0.506403

Absorption coefficient α: 762668 cm⁻¹
Penetration depth δ = λ/(2πk): 26.2237 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0 µm⁻¹

Group index n_g: 0.071
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/SiO2; n,k 0.191–20.9 µm
ag = ls.fetch_refractiveindex("main", "Ag", "Ciesielski", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ag.range_nm)  # (190.77, 20912) 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_d3c936094c71/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).

# ... 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 directly on SiO₂ substrate

Conditions

film thickness: 20e-9
substrate: 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

333 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/SiO2; n,k 0.191–20.9 µm: n and k versus wavelength
λ (µm)	n	k
0.19077	1.017	1.1
0.19136	1.02	1.104
0.19195	1.023	1.108
0.19255	1.026	1.111
0.19315	1.029	1.115
0.19375	1.032	1.118
0.19436	1.035	1.122
0.19497	1.038	1.125
0.19558	1.041	1.129
0.1962	1.044	1.132
0.19683	1.047	1.136
0.19745	1.05	1.139
0.19808	1.054	1.142
0.19872	1.057	1.146
0.19936	1.06	1.149
0.2	1.063	1.152
0.20065	1.066	1.156
0.2013	1.07	1.159
0.20195	1.073	1.162
0.20261	1.076	1.166
0.20328	1.08	1.169
0.20395	1.083	1.172
0.20462	1.086	1.175
0.2053	1.09	1.178
0.20598	1.093	1.181
0.20667	1.097	1.184
0.20736	1.1	1.187
0.20805	1.104	1.19
0.20875	1.107	1.193
0.20946	1.111	1.196
0.21017	1.114	1.199
0.21088	1.118	1.202
0.2116	1.122	1.205
0.21233	1.125	1.208
0.21306	1.129	1.211
0.21379	1.133	1.213
0.21453	1.136	1.216
0.21528	1.14	1.219
0.21603	1.144	1.221
0.21678	1.148	1.224
0.21754	1.152	1.226
0.21831	1.155	1.229
0.21908	1.159	1.231
0.21986	1.163	1.234
0.22064	1.167	1.236
0.22143	1.171	1.238
0.22222	1.175	1.241
0.22302	1.179	1.243
0.22383	1.183	1.245
0.22464	1.187	1.247
0.22545	1.191	1.249
0.22628	1.195	1.251
0.22711	1.199	1.253
0.22794	1.203	1.255
0.22878	1.207	1.257
0.22963	1.212	1.259
0.23048	1.216	1.261
0.23134	1.22	1.262
0.23221	1.224	1.264
0.23308	1.228	1.265
0.23396	1.233	1.267
0.23485	1.237	1.268
0.23574	1.241	1.27
0.23664	1.246	1.271
0.23755	1.25	1.272
0.23846	1.255	1.273
0.23938	1.259	1.274
0.24031	1.264	1.275
0.24125	1.268	1.276
0.24219	1.273	1.276
0.24314	1.277	1.277
0.24409	1.282	1.278
0.24506	1.287	1.278
0.24603	1.291	1.278
0.24701	1.296	1.278
0.248	1.301	1.279
0.249	1.306	1.279
0.25	1.311	1.278
0.25101	1.316	1.278
0.25203	1.321	1.278
0.25306	1.326	1.277
0.2541	1.331	1.276
0.25514	1.336	1.275
0.2562	1.341	1.274
0.25726	1.346	1.273
0.25833	1.352	1.271
0.25941	1.357	1.269
0.2605	1.362	1.268
0.2616	1.368	1.265
0.26271	1.373	1.263
0.26383	1.379	1.26
0.26496	1.385	1.257
0.26609	1.391	1.254
0.26724	1.397	1.25
0.2684	1.403	1.246
0.26957	1.409	1.242
0.27074	1.415	1.237
0.27193	1.421	1.232
0.27313	1.428	1.226
0.27434	1.434	1.22
0.27556	1.441	1.213
0.27679	1.448	1.206
0.27803	1.455	1.198
0.27928	1.462	1.189
0.28054	1.469	1.179
0.28182	1.476	1.168
0.28311	1.483	1.157
0.2844	1.49	1.144
0.28571	1.498	1.13
0.28704	1.505	1.114
0.28837	1.512	1.097
0.28972	1.519	1.078
0.29108	1.526	1.057
0.29245	1.533	1.034
0.29384	1.538	1.008
0.29524	1.543	0.98
0.29665	1.546	0.948
0.29808	1.548	0.912
0.29952	1.547	0.873
0.30097	1.542	0.829
0.30244	1.533	0.781
0.30392	1.517	0.728
0.30542	1.492	0.671
0.30693	1.455	0.612
0.30846	1.404	0.554
0.31	1.338	0.506
0.31156	1.267	0.477
0.31313	1.213	0.455
0.31472	1.145	0.417
0.31633	1.064	0.379
0.31795	0.96	0.361
0.31959	0.853	0.368
0.32124	0.752	0.393
0.32292	0.658	0.434
0.32461	0.574	0.488
0.32632	0.503	0.552
0.32804	0.447	0.621
0.32979	0.404	0.69
0.33155	0.372	0.757
0.33333	0.348	0.819
0.33514	0.329	0.878
0.33696	0.315	0.932
0.3388	0.304	0.983
0.34066	0.295	1.031
0.34254	0.288	1.076
0.34444	0.283	1.118
0.34637	0.278	1.158
0.34831	0.274	1.196
0.35028	0.271	1.232
0.35227	0.268	1.267
0.35429	0.265	1.301
0.35632	0.263	1.333
0.35838	0.26	1.364
0.36047	0.258	1.394
0.36257	0.256	1.423
0.36471	0.253	1.451
0.36686	0.251	1.479
0.36905	0.248	1.506
0.37126	0.245	1.533
0.37349	0.242	1.56
0.37576	0.238	1.586
0.37805	0.235	1.612
0.38037	0.231	1.637
0.38272	0.227	1.663
0.38509	0.222	1.689
0.3875	0.218	1.715
0.38994	0.213	1.74
0.39241	0.208	1.766
0.3949	0.203	1.792
0.39744	0.198	1.819
0.4	0.193	1.845
0.4026	0.188	1.872
0.40523	0.183	1.899
0.40789	0.178	1.927
0.4106	0.173	1.954
0.41333	0.168	1.983
0.41611	0.163	2.011
0.41892	0.158	2.039
0.42177	0.153	2.068
0.42466	0.148	2.098
0.42759	0.144	2.127
0.43056	0.139	2.157
0.43357	0.135	2.187
0.43662	0.131	2.218
0.43972	0.127	2.249
0.44286	0.123	2.28
0.44604	0.12	2.311
0.44928	0.116	2.343
0.45255	0.113	2.375
0.45588	0.11	2.407
0.45926	0.107	2.44
0.46269	0.104	2.473
0.46617	0.101	2.506
0.4697	0.099	2.539
0.47328	0.096	2.573
0.47692	0.094	2.607
0.48062	0.092	2.641
0.48438	0.09	2.676
0.48819	0.088	2.711
0.49206	0.086	2.747
0.496	0.085	2.782
0.5	0.083	2.818
0.50407	0.082	2.855
0.5082	0.08	2.892
0.5124	0.079	2.929
0.51667	0.078	2.967
0.52101	0.077	3.005
0.52542	0.076	3.043
0.52991	0.075	3.082
0.53448	0.074	3.121
0.53913	0.074	3.161
0.54386	0.073	3.202
0.54867	0.072	3.243
0.55357	0.072	3.284
0.55856	0.072	3.326
0.56364	0.071	3.368
0.56881	0.071	3.411
0.57407	0.071	3.455
0.57944	0.071	3.499
0.58491	0.071	3.544
0.59048	0.071	3.59
0.59615	0.071	3.636
0.60194	0.071	3.683
0.60784	0.071	3.73
0.61386	0.071	3.779
0.62	0.071	3.828
0.62626	0.072	3.878
0.63265	0.072	3.929
0.63918	0.073	3.98
0.64583	0.073	4.033
0.65263	0.074	4.086
0.65957	0.074	4.141
0.66667	0.075	4.196
0.67391	0.076	4.253
0.68132	0.076	4.31
0.68889	0.077	4.369
0.69663	0.078	4.428
0.70455	0.079	4.489
0.71264	0.08	4.551
0.72093	0.081	4.615
0.72941	0.083	4.68
0.7381	0.084	4.746
0.74699	0.085	4.813
0.7561	0.087	4.882
0.76543	0.088	4.952
0.775	0.09	5.024
0.78481	0.091	5.098
0.79487	0.093	5.174
0.80519	0.095	5.251
0.81579	0.097	5.33
0.82667	0.099	5.411
0.83784	0.101	5.494
0.84932	0.103	5.579
0.86111	0.106	5.666
0.87324	0.108	5.756
0.88571	0.111	5.847
0.89855	0.113	5.942
0.91176	0.116	6.039
0.92537	0.119	6.138
0.93939	0.122	6.241
0.95385	0.126	6.346
0.96875	0.129	6.455
0.98413	0.133	6.567
1.0	0.137	6.682
1.0164	0.141	6.801
1.0333	0.145	6.924
1.0508	0.149	7.05
1.069	0.154	7.181
1.0877	0.159	7.316
1.1071	0.165	7.456
1.1273	0.17	7.601
1.1481	0.176	7.75
1.1698	0.182	7.906
1.1923	0.189	8.067
1.2157	0.196	8.234
1.24	0.204	8.407
1.2653	0.212	8.588
1.2917	0.22	8.776
1.3191	0.229	8.971
1.3478	0.239	9.175
1.4419	0.272	9.841
1.4762	0.285	10.084
1.5122	0.298	10.338
1.5398	0.309	10.533
1.55	0.313	10.605
1.5773	0.324	10.798
1.5897	0.329	10.885
1.6166	0.34	11.075
1.6316	0.346	11.18
1.658	0.357	11.366
1.6757	0.365	11.49
1.7015	0.376	11.672
1.7222	0.385	11.817
1.7474	0.396	11.994
1.7714	0.406	12.163
1.7958	0.417	12.334
1.8235	0.43	12.528
1.8469	0.441	12.692
1.8788	0.456	12.915
1.9011	0.467	13.072
1.9375	0.485	13.326
1.9585	0.495	13.473
2.0	0.516	13.763
2.0195	0.526	13.9
2.0845	0.56	14.353
2.1537	0.597	14.836
2.2277	0.638	15.352
2.307	0.684	15.904
2.3921	0.734	16.496
2.4838	0.791	17.133
2.5827	0.854	17.819
2.6899	0.926	18.562
2.8064	1.007	19.367
2.9333	1.099	20.245
3.0724	1.204	21.204
3.2252	1.325	22.256
3.3941	1.465	23.417
3.5816	1.629	24.703
3.7911	1.823	26.136
4.0265	2.052	27.742
4.2932	2.328	29.555
4.5977	2.663	31.618
4.9486	3.076	33.984
5.3576	3.592	36.725
5.8403	4.249	39.937
6.4185	5.102	43.751
7.1239	6.236	48.347
8.0033	7.787	53.987
9.1305	9.984	61.058
10.627	13.228	70.151
12.711	18.272	82.212
15.811	26.644	98.816
20.912	41.734	122.727

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