Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.330102
Extinction coefficient k: 3.52977

Permittivity ε₁: -12.3503
Permittivity ε₂: 2.33037

Absorption coefficient α: 754873 cm⁻¹
Penetration depth δ = λ/(2πk): 26.4945 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -1.0772 µm⁻¹

Group index n_g: 0.963065
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/Ge/SiO2; n,k 0.191–20.9 µm
ag = ls.fetch_refractiveindex("main", "Ag", "Ciesielski-Ge", 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_dc73ba252e4d/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-ge).

# ... 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 Ge wetting interlayer

Conditions

film thickness: 20e-9
substrate: Ge/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/Ge/SiO2; n,k 0.191–20.9 µm: n and k versus wavelength
λ (µm)	n	k
0.19077	0.95	1.135
0.19136	0.953	1.14
0.19195	0.956	1.144
0.19255	0.959	1.148
0.19315	0.962	1.152
0.19375	0.965	1.156
0.19436	0.967	1.16
0.19497	0.97	1.164
0.19558	0.973	1.168
0.1962	0.976	1.172
0.19683	0.979	1.176
0.19745	0.983	1.18
0.19808	0.986	1.184
0.19872	0.989	1.188
0.19936	0.992	1.192
0.2	0.995	1.196
0.20065	0.998	1.2
0.2013	1.002	1.203
0.20195	1.005	1.207
0.20261	1.008	1.211
0.20328	1.011	1.215
0.20395	1.015	1.219
0.20462	1.018	1.222
0.2053	1.021	1.226
0.20598	1.025	1.23
0.20667	1.028	1.233
0.20736	1.032	1.237
0.20805	1.035	1.241
0.20875	1.039	1.244
0.20946	1.042	1.248
0.21017	1.046	1.251
0.21088	1.05	1.255
0.2116	1.053	1.258
0.21233	1.057	1.262
0.21306	1.061	1.265
0.21379	1.064	1.269
0.21453	1.068	1.272
0.21528	1.072	1.275
0.21603	1.076	1.279
0.21678	1.079	1.282
0.21754	1.083	1.285
0.21831	1.087	1.288
0.21908	1.091	1.292
0.21986	1.095	1.295
0.22064	1.099	1.298
0.22143	1.103	1.301
0.22222	1.107	1.304
0.22302	1.111	1.307
0.22383	1.115	1.309
0.22464	1.119	1.312
0.22545	1.123	1.315
0.22628	1.127	1.318
0.22711	1.132	1.321
0.22794	1.136	1.323
0.22878	1.14	1.326
0.22963	1.144	1.328
0.23048	1.149	1.331
0.23134	1.153	1.333
0.23221	1.157	1.335
0.23308	1.162	1.338
0.23396	1.166	1.34
0.23485	1.17	1.342
0.23574	1.175	1.344
0.23664	1.179	1.346
0.23755	1.184	1.348
0.23846	1.189	1.35
0.23938	1.193	1.352
0.24031	1.198	1.353
0.24125	1.202	1.355
0.24219	1.207	1.357
0.24314	1.212	1.358
0.24409	1.217	1.359
0.24506	1.221	1.361
0.24603	1.226	1.362
0.24701	1.231	1.363
0.248	1.236	1.363
0.249	1.241	1.364
0.25	1.246	1.365
0.25101	1.251	1.365
0.25203	1.256	1.366
0.25306	1.262	1.366
0.2541	1.267	1.366
0.25514	1.272	1.366
0.2562	1.277	1.366
0.25726	1.283	1.365
0.25833	1.288	1.364
0.25941	1.294	1.363
0.2605	1.299	1.362
0.2616	1.305	1.361
0.26271	1.311	1.359
0.26383	1.316	1.358
0.26496	1.322	1.355
0.26609	1.328	1.353
0.26724	1.334	1.35
0.2684	1.34	1.347
0.26957	1.346	1.344
0.27074	1.352	1.34
0.27193	1.359	1.335
0.27313	1.365	1.33
0.27434	1.371	1.325
0.27556	1.378	1.319
0.27679	1.385	1.312
0.27803	1.391	1.305
0.27928	1.398	1.297
0.28054	1.404	1.288
0.28182	1.411	1.278
0.28311	1.418	1.267
0.2844	1.424	1.255
0.28571	1.431	1.242
0.28704	1.437	1.227
0.28837	1.443	1.21
0.28972	1.448	1.192
0.29108	1.452	1.172
0.29245	1.456	1.15
0.29384	1.458	1.125
0.29524	1.458	1.098
0.29665	1.456	1.069
0.29808	1.451	1.037
0.29952	1.443	1.003
0.30097	1.429	0.967
0.30244	1.411	0.931
0.30392	1.389	0.895
0.30542	1.362	0.86
0.30693	1.333	0.825
0.30846	1.299	0.785
0.31	1.247	0.743
0.31156	1.196	0.733
0.31313	1.156	0.702
0.31472	1.097	0.666
0.31633	1.022	0.64
0.31795	0.937	0.629
0.31959	0.85	0.635
0.32124	0.764	0.657
0.32292	0.685	0.693
0.32461	0.616	0.739
0.32632	0.558	0.792
0.32804	0.51	0.848
0.32979	0.473	0.904
0.33155	0.443	0.959
0.33333	0.419	1.011
0.33514	0.399	1.06
0.33696	0.382	1.106
0.3388	0.368	1.15
0.34066	0.355	1.191
0.34254	0.344	1.231
0.34444	0.333	1.27
0.34637	0.323	1.307
0.34831	0.314	1.344
0.35028	0.305	1.38
0.35227	0.297	1.416
0.35429	0.289	1.451
0.35632	0.282	1.486
0.35838	0.276	1.521
0.36047	0.27	1.555
0.36257	0.265	1.589
0.36471	0.261	1.623
0.36686	0.257	1.657
0.36905	0.254	1.691
0.37126	0.251	1.724
0.37349	0.249	1.757
0.37576	0.248	1.79
0.37805	0.247	1.823
0.38037	0.246	1.855
0.38272	0.246	1.887
0.38509	0.247	1.919
0.3875	0.248	1.951
0.38994	0.249	1.982
0.39241	0.25	2.013
0.3949	0.252	2.044
0.39744	0.254	2.075
0.4	0.257	2.106
0.4026	0.26	2.136
0.40523	0.263	2.166
0.40789	0.267	2.197
0.4106	0.271	2.226
0.41333	0.275	2.256
0.41611	0.279	2.286
0.41892	0.284	2.315
0.42177	0.289	2.344
0.42466	0.294	2.373
0.42759	0.3	2.402
0.43056	0.305	2.431
0.43357	0.311	2.459
0.43662	0.317	2.487
0.43972	0.323	2.515
0.44286	0.33	2.543
0.44604	0.336	2.57
0.44928	0.343	2.597
0.45255	0.35	2.623
0.45588	0.356	2.65
0.45926	0.363	2.676
0.46269	0.369	2.701
0.46617	0.376	2.727
0.4697	0.382	2.751
0.47328	0.387	2.776
0.47692	0.393	2.8
0.48062	0.397	2.825
0.48438	0.402	2.849
0.48819	0.406	2.872
0.49206	0.409	2.896
0.496	0.411	2.92
0.5	0.412	2.944
0.50407	0.413	2.968
0.5082	0.413	2.992
0.5124	0.412	3.017
0.51667	0.411	3.043
0.52101	0.408	3.069
0.52542	0.405	3.096
0.52991	0.401	3.124
0.53448	0.396	3.153
0.53913	0.391	3.183
0.54386	0.385	3.214
0.54867	0.379	3.247
0.55357	0.373	3.28
0.55856	0.366	3.315
0.56364	0.36	3.351
0.56881	0.353	3.389
0.57407	0.346	3.428
0.57944	0.34	3.468
0.58491	0.333	3.509
0.59048	0.327	3.552
0.59615	0.321	3.596
0.60194	0.315	3.641
0.60784	0.31	3.687
0.61386	0.305	3.735
0.62	0.3	3.783
0.62626	0.296	3.833
0.63265	0.292	3.884
0.63918	0.288	3.936
0.64583	0.285	3.989
0.65263	0.282	4.043
0.65957	0.28	4.099
0.66667	0.278	4.156
0.67391	0.276	4.213
0.68132	0.275	4.272
0.68889	0.274	4.332
0.69663	0.273	4.394
0.70455	0.273	4.456
0.71264	0.273	4.52
0.72093	0.273	4.585
0.72941	0.274	4.652
0.7381	0.275	4.72
0.74699	0.277	4.789
0.7561	0.279	4.86
0.76543	0.281	4.932
0.775	0.283	5.006
0.78481	0.286	5.082
0.79487	0.289	5.159
0.80519	0.293	5.238
0.81579	0.297	5.319
0.82667	0.301	5.402
0.83784	0.306	5.487
0.84932	0.311	5.573
0.86111	0.316	5.662
0.87324	0.322	5.754
0.88571	0.328	5.847
0.89855	0.335	5.943
0.91176	0.342	6.042
0.92537	0.349	6.143
0.93939	0.357	6.247
0.95385	0.365	6.354
0.96875	0.374	6.464
0.98413	0.384	6.577
1.0	0.394	6.694
1.0164	0.405	6.814
1.0333	0.416	6.938
1.0508	0.428	7.066
1.069	0.441	7.198
1.0877	0.454	7.334
1.1071	0.468	7.475
1.1273	0.483	7.62
1.1481	0.499	7.771
1.1698	0.516	7.926
1.1923	0.534	8.088
1.2157	0.554	8.256
1.24	0.574	8.429
1.2653	0.596	8.61
1.2917	0.619	8.798
1.3191	0.643	8.993
1.3478	0.67	9.196
1.4419	0.76	9.86
1.4762	0.795	10.101
1.5122	0.832	10.354
1.5398	0.861	10.547
1.55	0.872	10.618
1.5773	0.901	10.809
1.5897	0.915	10.895
1.6166	0.945	11.083
1.6316	0.961	11.187
1.658	0.991	11.37
1.6757	1.012	11.493
1.7015	1.042	11.672
1.7222	1.066	11.815
1.7474	1.096	11.989
1.7714	1.125	12.155
1.7958	1.155	12.322
1.8235	1.189	12.513
1.8469	1.219	12.674
1.8788	1.26	12.893
1.9011	1.288	13.045
1.9375	1.336	13.295
1.9585	1.364	13.438
2.0	1.42	13.721
2.0195	1.447	13.854
2.0845	1.537	14.294
2.1537	1.637	14.763
2.2277	1.746	15.261
2.307	1.867	15.792
2.3921	2.001	16.361
2.4838	2.15	16.969
2.5827	2.316	17.622
2.6899	2.502	18.325
2.8064	2.711	19.084
2.9333	2.947	19.905
3.0724	3.215	20.796
3.2252	3.521	21.766
3.3941	3.872	22.826
3.5816	4.277	23.988
3.7911	4.748	25.268
4.0265	5.299	26.682
4.2932	5.948	28.253
4.5977	6.719	30.006
4.9486	7.645	31.971
5.3576	8.765	34.188
5.8403	10.137	36.702
6.4185	11.835	39.572
7.1239	13.965	42.87
8.0033	16.671	46.688
9.1305	20.163	51.147
10.627	24.745	56.415
12.711	30.882	62.748
15.811	39.328	70.598
20.912	51.485	80.947

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