Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.405722
Extinction coefficient k: 2.79798

Permittivity ε₁: -7.66406
Permittivity ε₂: 2.2704

Absorption coefficient α: 598373 cm⁻¹
Penetration depth δ = λ/(2πk): 33.424 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -2.33393 µm⁻¹

Group index n_g: 1.77714
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/SiO2; n,k 0.191–20.9 µm
au = ls.fetch_refractiveindex("main", "Au", "Ciesielski", 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_9f5263a90d4c/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).

# ... 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 directly on SiO₂ substrate

Conditions

film thickness: 35e-9
substrate: 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/SiO2; n,k 0.191–20.9 µm: n and k versus wavelength
λ (µm)	n	k
0.19077	1.277	1.352
0.19136	1.278	1.353
0.19195	1.28	1.354
0.19255	1.282	1.354
0.19315	1.283	1.355
0.19375	1.285	1.356
0.19436	1.286	1.357
0.19497	1.287	1.358
0.19558	1.289	1.359
0.1962	1.29	1.36
0.19683	1.291	1.361
0.19745	1.292	1.362
0.19808	1.293	1.363
0.19872	1.294	1.364
0.19936	1.294	1.365
0.2	1.295	1.367
0.20065	1.296	1.368
0.2013	1.296	1.369
0.20195	1.297	1.371
0.20261	1.297	1.372
0.20328	1.297	1.374
0.20395	1.298	1.375
0.20462	1.298	1.377
0.2053	1.298	1.379
0.20598	1.298	1.381
0.20667	1.298	1.383
0.20736	1.298	1.385
0.20805	1.298	1.387
0.20875	1.298	1.389
0.20946	1.297	1.392
0.21017	1.297	1.394
0.21088	1.297	1.397
0.2116	1.297	1.399
0.21233	1.296	1.402
0.21306	1.296	1.405
0.21379	1.295	1.408
0.21453	1.295	1.411
0.21528	1.294	1.415
0.21603	1.293	1.418
0.21678	1.293	1.421
0.21754	1.292	1.425
0.21831	1.292	1.429
0.21908	1.291	1.433
0.21986	1.29	1.437
0.22064	1.29	1.441
0.22143	1.289	1.445
0.22222	1.289	1.45
0.22302	1.288	1.455
0.22383	1.287	1.459
0.22464	1.287	1.464
0.22545	1.286	1.469
0.22628	1.286	1.475
0.22711	1.285	1.48
0.22794	1.285	1.485
0.22878	1.285	1.491
0.22963	1.284	1.497
0.23048	1.284	1.503
0.23134	1.284	1.509
0.23221	1.284	1.515
0.23308	1.284	1.522
0.23396	1.284	1.528
0.23485	1.285	1.535
0.23574	1.285	1.542
0.23664	1.285	1.549
0.23755	1.286	1.556
0.23846	1.287	1.563
0.23938	1.288	1.571
0.24031	1.289	1.578
0.24125	1.29	1.586
0.24219	1.291	1.593
0.24314	1.292	1.601
0.24409	1.294	1.609
0.24506	1.296	1.617
0.24603	1.298	1.626
0.24701	1.3	1.634
0.248	1.303	1.642
0.249	1.305	1.651
0.25	1.308	1.659
0.25101	1.311	1.668
0.25203	1.314	1.677
0.25306	1.318	1.685
0.2541	1.321	1.694
0.25514	1.325	1.703
0.2562	1.33	1.712
0.25726	1.334	1.721
0.25833	1.339	1.729
0.25941	1.344	1.738
0.2605	1.349	1.747
0.2616	1.354	1.756
0.26271	1.36	1.764
0.26383	1.366	1.773
0.26496	1.373	1.781
0.26609	1.379	1.79
0.26724	1.386	1.798
0.2684	1.393	1.806
0.26957	1.401	1.814
0.27074	1.408	1.822
0.27193	1.416	1.829
0.27313	1.424	1.837
0.27434	1.433	1.844
0.27556	1.441	1.851
0.27679	1.45	1.858
0.27803	1.459	1.864
0.27928	1.468	1.87
0.28054	1.478	1.876
0.28182	1.487	1.881
0.28311	1.497	1.886
0.2844	1.507	1.891
0.28571	1.517	1.896
0.28704	1.527	1.9
0.28837	1.537	1.903
0.28972	1.547	1.906
0.29108	1.557	1.909
0.29245	1.567	1.912
0.29384	1.578	1.914
0.29524	1.588	1.915
0.29665	1.597	1.916
0.29808	1.607	1.917
0.29952	1.617	1.917
0.30097	1.626	1.917
0.30244	1.635	1.916
0.30392	1.644	1.915
0.30542	1.653	1.914
0.30693	1.661	1.912
0.30846	1.669	1.91
0.31	1.677	1.907
0.31156	1.684	1.904
0.31313	1.691	1.901
0.31472	1.697	1.898
0.31633	1.702	1.894
0.31795	1.708	1.891
0.31959	1.712	1.887
0.32124	1.717	1.883
0.32292	1.72	1.879
0.32461	1.723	1.875
0.32632	1.726	1.871
0.32804	1.728	1.867
0.32979	1.73	1.863
0.33155	1.73	1.859
0.33333	1.731	1.855
0.33514	1.731	1.852
0.33696	1.73	1.849
0.3388	1.729	1.846
0.34066	1.728	1.843
0.34254	1.726	1.841
0.34444	1.724	1.839
0.34637	1.721	1.837
0.34831	1.718	1.836
0.35028	1.715	1.835
0.35227	1.712	1.835
0.35429	1.708	1.835
0.35632	1.705	1.836
0.35838	1.701	1.837
0.36047	1.697	1.838
0.36257	1.694	1.84
0.36471	1.69	1.842
0.36686	1.687	1.845
0.36905	1.683	1.848
0.37126	1.68	1.851
0.37349	1.677	1.855
0.37576	1.675	1.858
0.37805	1.672	1.862
0.38037	1.67	1.866
0.38272	1.668	1.869
0.38509	1.667	1.873
0.3875	1.666	1.876
0.38994	1.665	1.879
0.39241	1.664	1.882
0.3949	1.664	1.884
0.39744	1.663	1.886
0.4	1.663	1.887
0.4026	1.662	1.888
0.40523	1.662	1.888
0.40789	1.661	1.887
0.4106	1.659	1.885
0.41333	1.658	1.883
0.41611	1.655	1.879
0.41892	1.652	1.875
0.42177	1.647	1.871
0.42466	1.642	1.866
0.42759	1.636	1.86
0.43056	1.628	1.853
0.43357	1.62	1.847
0.43662	1.61	1.84
0.43972	1.598	1.832
0.44286	1.585	1.824
0.44604	1.571	1.816
0.44928	1.555	1.808
0.45255	1.538	1.8
0.45588	1.519	1.79
0.45926	1.498	1.781
0.46269	1.475	1.77
0.46617	1.449	1.758
0.4697	1.419	1.745
0.47328	1.385	1.731
0.47692	1.343	1.717
0.48062	1.293	1.705
0.48438	1.234	1.699
0.48819	1.168	1.702
0.49206	1.099	1.717
0.496	1.032	1.743
0.5	0.968	1.777
0.50407	0.909	1.819
0.5082	0.855	1.865
0.5124	0.806	1.914
0.51667	0.762	1.966
0.52101	0.721	2.02
0.52542	0.684	2.074
0.52991	0.65	2.13
0.53448	0.619	2.186
0.53913	0.59	2.243
0.54386	0.564	2.301
0.54867	0.539	2.358
0.55357	0.517	2.416
0.55856	0.496	2.474
0.56364	0.477	2.533
0.56881	0.459	2.592
0.57407	0.442	2.65
0.57944	0.427	2.71
0.58491	0.412	2.769
0.59048	0.399	2.829
0.59615	0.387	2.889
0.60194	0.375	2.949
0.60784	0.364	3.01
0.61386	0.354	3.071
0.62	0.345	3.133
0.62626	0.336	3.195
0.63265	0.328	3.257
0.63918	0.321	3.321
0.64583	0.314	3.384
0.65263	0.307	3.448
0.65957	0.301	3.513
0.66667	0.296	3.579
0.67391	0.291	3.645
0.68132	0.286	3.713
0.68889	0.282	3.781
0.69663	0.278	3.849
0.70455	0.275	3.919
0.71264	0.272	3.99
0.72093	0.269	4.062
0.72941	0.267	4.135
0.7381	0.265	4.209
0.74699	0.263	4.284
0.7561	0.262	4.36
0.76543	0.261	4.438
0.775	0.261	4.517
0.78481	0.26	4.597
0.79487	0.261	4.679
0.80519	0.261	4.763
0.81579	0.262	4.848
0.82667	0.263	4.934
0.83784	0.265	5.023
0.84932	0.266	5.113
0.86111	0.269	5.205
0.87324	0.271	5.3
0.88571	0.274	5.396
0.89855	0.277	5.494
0.91176	0.281	5.595
0.92537	0.285	5.697
0.93939	0.289	5.803
0.95385	0.294	5.91
0.96875	0.298	6.021
0.98413	0.303	6.134
1.0	0.308	6.25
1.0164	0.313	6.37
1.0333	0.319	6.493
1.0508	0.324	6.619
1.069	0.329	6.749
1.0877	0.334	6.884
1.1071	0.34	7.023
1.1273	0.345	7.167
1.1481	0.351	7.316
1.1698	0.357	7.471
1.1923	0.363	7.631
1.2157	0.37	7.798
1.24	0.377	7.971
1.2653	0.385	8.151
1.2917	0.394	8.338
1.3191	0.404	8.534
1.3478	0.415	8.737
1.4419	0.455	9.402
1.4762	0.471	9.644
1.5122	0.488	9.897
1.5398	0.502	10.091
1.55	0.508	10.162
1.5773	0.522	10.353
1.5897	0.529	10.441
1.6166	0.544	10.629
1.6316	0.552	10.733
1.658	0.567	10.917
1.6757	0.577	11.04
1.7015	0.593	11.22
1.7222	0.605	11.364
1.7474	0.621	11.538
1.7714	0.636	11.705
1.7958	0.651	11.874
1.8235	0.669	12.066
1.8469	0.685	12.227
1.8788	0.706	12.447
1.9011	0.721	12.601
1.9375	0.747	12.852
1.9585	0.762	12.997
2.0	0.792	13.281
2.0195	0.806	13.416
2.0845	0.855	13.861
2.1537	0.909	14.334
2.2277	0.969	14.839
2.307	1.035	15.378
2.3921	1.109	15.956
2.4838	1.191	16.576
2.5827	1.284	17.245
2.6899	1.388	17.966
2.8064	1.506	18.747
2.9333	1.64	19.597
3.0724	1.794	20.523
3.2252	1.97	21.538
3.3941	2.174	22.654
3.5816	2.412	23.887
3.7911	2.692	25.258
4.0265	3.023	26.788
4.2932	3.42	28.509
4.5977	3.9	30.456
4.9486	4.487	32.678
5.3576	5.215	35.235
5.8403	6.134	38.205
6.4185	7.313	41.695
7.1239	8.857	45.845
8.0033	10.927	50.849
9.1305	13.781	56.982
10.627	17.841	64.631
12.711	23.838	74.366
15.811	33.086	87.053
20.912	48.108	104.131

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