Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.427619
Extinction coefficient k: 3.20694

Permittivity ε₁: -10.1016
Permittivity ε₂: 2.7427

Absorption coefficient α: 685834 cm⁻¹
Penetration depth δ = λ/(2πk): 29.1616 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -1.25673 µm⁻¹

Group index n_g: 1.16608
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

# Au (Gold): Ciesielski et al. 2018: Au/Ge/SiO2 n,k 0.191–20.9 µm
au = ls.fetch_refractiveindex("main", "Au", "Ciesielski-Ge", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (190.77, 20912) nm
eps = au.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_f39c9217e34f/lightsmith"
au = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(au.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (au/ciesielski-2018-ge).

# ... load au as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=au)],
    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

35 nm-thick gold film deposited on SiO₂ substrate with 2 nm-thick Ge wetting interlayer

Conditions

film thickness: 35e-9
substrate: Ge/SiO2

References

A. Ciesielski, L. Skowronski, M. Trzinski, E. Gorecka, P. Trautman, T. Szoplik. Evidence of germanium segregation in gold thin films. Surf. Sci. 674, 73-78 (2018) (Numerical data kindly provided by Arkadiusz Ciesielski)

doi:10.1016/j.susc.2018.03.020 Evidence of germanium segregation in gold thin films, Surface Science (2018)

Cite

Arkadiusz Ciesielski et al.. Evidence of germanium segregation in gold thin films. Surface Science, 674, 73-78 (2018), doi:10.1016/j.susc.2018.03.020; 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

Au (Gold), Ciesielski et al. 2018: Au/Ge/SiO2 n,k 0.191–20.9 µm: n and k versus wavelength
λ (µm)	n	k
0.19077	1.369	1.284
0.19136	1.368	1.285
0.19195	1.367	1.287
0.19255	1.366	1.289
0.19315	1.365	1.291
0.19375	1.364	1.293
0.19436	1.363	1.295
0.19497	1.362	1.298
0.19558	1.361	1.3
0.1962	1.36	1.302
0.19683	1.359	1.305
0.19745	1.358	1.307
0.19808	1.357	1.31
0.19872	1.356	1.312
0.19936	1.355	1.315
0.2	1.353	1.318
0.20065	1.352	1.321
0.2013	1.351	1.324
0.20195	1.35	1.327
0.20261	1.348	1.33
0.20328	1.347	1.333
0.20395	1.346	1.337
0.20462	1.345	1.34
0.2053	1.343	1.344
0.20598	1.342	1.347
0.20667	1.341	1.351
0.20736	1.34	1.355
0.20805	1.338	1.358
0.20875	1.337	1.362
0.20946	1.336	1.366
0.21017	1.335	1.371
0.21088	1.333	1.375
0.2116	1.332	1.379
0.21233	1.331	1.384
0.21306	1.33	1.388
0.21379	1.329	1.393
0.21453	1.327	1.398
0.21528	1.326	1.402
0.21603	1.325	1.407
0.21678	1.324	1.412
0.21754	1.323	1.418
0.21831	1.322	1.423
0.21908	1.321	1.428
0.21986	1.32	1.434
0.22064	1.319	1.439
0.22143	1.319	1.445
0.22222	1.318	1.451
0.22302	1.317	1.457
0.22383	1.316	1.463
0.22464	1.316	1.469
0.22545	1.315	1.475
0.22628	1.315	1.481
0.22711	1.314	1.488
0.22794	1.314	1.494
0.22878	1.314	1.501
0.22963	1.314	1.507
0.23048	1.313	1.514
0.23134	1.313	1.521
0.23221	1.314	1.528
0.23308	1.314	1.535
0.23396	1.314	1.542
0.23485	1.314	1.55
0.23574	1.315	1.557
0.23664	1.315	1.564
0.23755	1.316	1.572
0.23846	1.317	1.58
0.23938	1.318	1.587
0.24031	1.319	1.595
0.24125	1.32	1.603
0.24219	1.322	1.611
0.24314	1.323	1.619
0.24409	1.325	1.627
0.24506	1.327	1.635
0.24603	1.328	1.643
0.24701	1.331	1.652
0.248	1.333	1.66
0.249	1.335	1.668
0.25	1.338	1.677
0.25101	1.341	1.685
0.25203	1.344	1.694
0.25306	1.347	1.702
0.2541	1.35	1.71
0.25514	1.354	1.719
0.2562	1.357	1.727
0.25726	1.361	1.736
0.25833	1.365	1.744
0.25941	1.37	1.753
0.2605	1.374	1.761
0.2616	1.379	1.769
0.26271	1.384	1.777
0.26383	1.389	1.785
0.26496	1.394	1.793
0.26609	1.4	1.801
0.26724	1.405	1.809
0.2684	1.411	1.817
0.26957	1.417	1.824
0.27074	1.423	1.832
0.27193	1.43	1.839
0.27313	1.436	1.846
0.27434	1.443	1.853
0.27556	1.45	1.859
0.27679	1.457	1.866
0.27803	1.464	1.872
0.27928	1.471	1.878
0.28054	1.479	1.883
0.28182	1.486	1.889
0.28311	1.494	1.894
0.2844	1.501	1.899
0.28571	1.509	1.903
0.28704	1.517	1.908
0.28837	1.524	1.911
0.28972	1.532	1.915
0.29108	1.54	1.918
0.29245	1.547	1.921
0.29384	1.555	1.924
0.29524	1.562	1.926
0.29665	1.569	1.928
0.29808	1.576	1.93
0.29952	1.583	1.931
0.30097	1.589	1.932
0.30244	1.596	1.933
0.30392	1.602	1.934
0.30542	1.607	1.934
0.30693	1.613	1.934
0.30846	1.618	1.934
0.31	1.622	1.934
0.31156	1.627	1.933
0.31313	1.631	1.932
0.31472	1.634	1.932
0.31633	1.638	1.931
0.31795	1.64	1.93
0.31959	1.643	1.929
0.32124	1.644	1.928
0.32292	1.646	1.927
0.32461	1.647	1.927
0.32632	1.648	1.926
0.32804	1.648	1.925
0.32979	1.648	1.925
0.33155	1.647	1.925
0.33333	1.646	1.925
0.33514	1.645	1.925
0.33696	1.643	1.925
0.3388	1.641	1.926
0.34066	1.639	1.927
0.34254	1.636	1.929
0.34444	1.633	1.931
0.34637	1.63	1.933
0.34831	1.627	1.935
0.35028	1.624	1.938
0.35227	1.62	1.941
0.35429	1.617	1.945
0.35632	1.613	1.948
0.35838	1.61	1.953
0.36047	1.606	1.957
0.36257	1.602	1.962
0.36471	1.599	1.967
0.36686	1.596	1.973
0.36905	1.592	1.979
0.37126	1.589	1.985
0.37349	1.587	1.991
0.37576	1.584	1.997
0.37805	1.581	2.003
0.38037	1.579	2.009
0.38272	1.577	2.016
0.38509	1.576	2.022
0.3875	1.574	2.028
0.38994	1.573	2.033
0.39241	1.571	2.038
0.3949	1.57	2.043
0.39744	1.569	2.048
0.4	1.567	2.052
0.4026	1.566	2.055
0.40523	1.564	2.058
0.40789	1.562	2.061
0.4106	1.559	2.063
0.41333	1.556	2.064
0.41611	1.552	2.065
0.41892	1.548	2.065
0.42177	1.542	2.065
0.42466	1.536	2.065
0.42759	1.529	2.064
0.43056	1.521	2.063
0.43357	1.512	2.062
0.43662	1.502	2.06
0.43972	1.491	2.058
0.44286	1.478	2.056
0.44604	1.465	2.054
0.44928	1.45	2.051
0.45255	1.433	2.047
0.45588	1.415	2.043
0.45926	1.394	2.039
0.46269	1.371	2.033
0.46617	1.345	2.028
0.4697	1.315	2.022
0.47328	1.28	2.017
0.47692	1.24	2.013
0.48062	1.194	2.011
0.48438	1.142	2.015
0.48819	1.085	2.025
0.49206	1.025	2.043
0.496	0.964	2.07
0.5	0.904	2.105
0.50407	0.847	2.148
0.5082	0.795	2.198
0.5124	0.747	2.252
0.51667	0.704	2.309
0.52101	0.666	2.369
0.52542	0.633	2.43
0.52991	0.603	2.492
0.53448	0.577	2.554
0.53913	0.554	2.617
0.54386	0.533	2.679
0.54867	0.515	2.742
0.55357	0.498	2.804
0.55856	0.484	2.866
0.56364	0.471	2.929
0.56881	0.459	2.991
0.57407	0.449	3.053
0.57944	0.439	3.115
0.58491	0.431	3.177
0.59048	0.424	3.239
0.59615	0.417	3.301
0.60194	0.411	3.363
0.60784	0.406	3.426
0.61386	0.401	3.489
0.62	0.397	3.553
0.62626	0.394	3.616
0.63265	0.391	3.681
0.63918	0.389	3.745
0.64583	0.387	3.811
0.65263	0.386	3.877
0.65957	0.384	3.943
0.66667	0.384	4.01
0.67391	0.384	4.078
0.68132	0.384	4.147
0.68889	0.384	4.217
0.69663	0.385	4.287
0.70455	0.386	4.359
0.71264	0.388	4.431
0.72093	0.39	4.505
0.72941	0.392	4.579
0.7381	0.395	4.655
0.74699	0.398	4.732
0.7561	0.401	4.81
0.76543	0.405	4.89
0.775	0.409	4.971
0.78481	0.413	5.054
0.79487	0.418	5.138
0.80519	0.423	5.224
0.81579	0.428	5.311
0.82667	0.434	5.4
0.83784	0.44	5.491
0.84932	0.447	5.584
0.86111	0.453	5.679
0.87324	0.461	5.776
0.88571	0.468	5.876
0.89855	0.476	5.978
0.91176	0.485	6.082
0.92537	0.494	6.189
0.93939	0.503	6.298
0.95385	0.513	6.41
0.96875	0.523	6.526
0.98413	0.534	6.644
1.0	0.545	6.765
1.0164	0.557	6.891
1.0333	0.569	7.019
1.0508	0.582	7.152
1.069	0.596	7.288
1.0877	0.61	7.429
1.1071	0.625	7.574
1.1273	0.64	7.724
1.1481	0.656	7.88
1.1698	0.673	8.04
1.1923	0.691	8.206
1.2157	0.71	8.378
1.24	0.73	8.557
1.2653	0.75	8.742
1.2917	0.772	8.935
1.3191	0.795	9.135
1.3478	0.819	9.343
1.4419	0.902	10.025
1.4762	0.933	10.273
1.5122	0.966	10.532
1.5398	0.992	10.731
1.55	1.002	10.804
1.5773	1.028	11.001
1.5897	1.04	11.09
1.6166	1.067	11.283
1.6316	1.082	11.39
1.658	1.109	11.579
1.6757	1.127	11.706
1.7015	1.154	11.891
1.7222	1.176	12.039
1.7474	1.202	12.219
1.7714	1.229	12.39
1.7958	1.255	12.564
1.8235	1.286	12.762
1.8469	1.313	12.928
1.8788	1.35	13.155
1.9011	1.376	13.313
1.9375	1.419	13.571
1.9585	1.445	13.72
2.0	1.496	14.014
2.0195	1.52	14.152
2.0845	1.603	14.61
2.1537	1.695	15.097
2.2277	1.797	15.616
2.307	1.909	16.169
2.3921	2.035	16.761
2.4838	2.175	17.396
2.5827	2.332	18.078
2.6899	2.509	18.812
2.8064	2.709	19.605
2.9333	2.936	20.464
3.0724	3.194	21.396
3.2252	3.49	22.413
3.3941	3.83	23.524
3.5816	4.225	24.745
3.7911	4.684	26.09
4.0265	5.224	27.579
4.2932	5.863	29.235
4.5977	6.624	31.086
4.9486	7.542	33.167
5.3576	8.657	35.521
5.8403	10.03	38.198
6.4185	11.738	41.266
7.1239	13.894	44.805
8.0033	16.654	48.921
9.1305	20.245	53.753
10.627	25.002	59.488
12.711	31.438	66.407
15.811	40.388	74.992
20.912	53.385	86.266

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