At one wavelength

Refractive index n: 0.224436
Extinction coefficient k: 2.98068

Permittivity ε₁: -8.83408
Permittivity ε₂: 1.33794

Absorption coefficient α: 637446 cm⁻¹
Penetration depth δ = λ/(2πk): 31.3752 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -1.89 µm⁻¹

Group index n_g: 1.335
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): Olmon et al. 2012: Evaporated gold; n,k 0.300–24.93 µm
au = ls.fetch_refractiveindex("main", "Au", "Olmon-ev", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (300, 24930) 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_37c99dd98864/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/olmon-2012-ev).

# ... 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

Evaporated gold

References

R. L. Olmon, B. Slovick, T. W. Johnson, D. Shelton, S.-H. Oh, G. D. Boreman, M. B. Raschke. Optical dielectric function of gold. Phys. Rev. B 86, 235147 (2012) (See Supplemental Material)

doi:10.1103/physrevb.86.235147 Optical dielectric function of gold, Physical Review B (2012)

Cite

Robert L. Olmon et al.. Optical dielectric function of gold. Physical Review B, 86, 235147 (2012), doi:10.1103/physrevb.86.235147; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

448 rows as published

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

Au (Gold), Olmon et al. 2012: Evaporated gold; n,k 0.300–24.93 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.596	1.888
0.31	1.649	1.895
0.32	1.685	1.881
0.33	1.701	1.858
0.34	1.695	1.835
0.35	1.671	1.821
0.36	1.637	1.825
0.37	1.606	1.846
0.38	1.588	1.877
0.39	1.585	1.904
0.4	1.588	1.915
0.41	1.585	1.911
0.42	1.567	1.898
0.43	1.537	1.887
0.44	1.505	1.877
0.45	1.472	1.855
0.46	1.422	1.812
0.47	1.333	1.758
0.48	1.193	1.716
0.49	1.011	1.72
0.5	0.8197	1.787
0.51	0.6527	1.908
0.52	0.5263	2.058
0.53	0.4363	2.213
0.54	0.3724	2.364
0.55	0.3256	2.507
0.56	0.2899	2.641
0.57	0.2617	2.769
0.58	0.2388	2.891
0.59	0.2199	3.009
0.6	0.2041	3.122
0.61	0.1908	3.232
0.62	0.1794	3.34
0.63	0.1698	3.444
0.64	0.1616	3.547
0.65	0.1546	3.647
0.66	0.1487	3.746
0.67	0.1436	3.843
0.68	0.1394	3.938
0.69	0.1358	4.033
0.7	0.1328	4.126
0.71	0.1304	4.217
0.72	0.1284	4.308
0.73	0.1268	4.398
0.74	0.1257	4.487
0.75	0.1248	4.575
0.76	0.1242	4.662
0.77	0.1239	4.749
0.78	0.1239	4.834
0.79	0.124	4.92
0.8	0.1244	5.004
0.81	0.1249	5.088
0.82	0.1256	5.172
0.83	0.1265	5.255
0.84	0.1275	5.338
0.85	0.1286	5.42
0.86	0.1298	5.501
0.87	0.1312	5.583
0.88	0.1326	5.664
0.89	0.1342	5.745
0.9	0.1358	5.825
0.91	0.1375	5.905
0.92	0.1393	5.985
0.93	0.1412	6.064
0.94	0.1431	6.143
0.95	0.1451	6.222
0.96	0.1471	6.301
0.97	0.1493	6.379
0.98	0.1514	6.457
0.99	0.1536	6.535
1.0	0.1559	6.613
1.01	0.1582	6.69
1.02	0.1606	6.768
1.03	0.163	6.845
1.04	0.1655	6.922
1.05	0.168	6.999
1.06	0.1705	7.075
1.07	0.1731	7.152
1.08	0.1757	7.228
1.09	0.1783	7.304
1.1	0.181	7.38
1.11	0.1837	7.456
1.12	0.1865	7.532
1.13	0.1893	7.608
1.14	0.1921	7.683
1.15	0.1949	7.759
1.16	0.1978	7.834
1.17	0.2007	7.909
1.18	0.2036	7.984
1.19	0.2066	8.059
1.2	0.2096	8.134
1.21	0.2126	8.208
1.22	0.2157	8.283
1.23	0.2187	8.358
1.24	0.2218	8.432
1.25	0.225	8.506
1.26	0.2281	8.581
1.27	0.2313	8.655
1.28	0.2342	8.725
1.29	0.2371	8.795
1.3	0.24	8.865
1.31	0.243	8.935
1.32	0.246	9.005
1.33	0.249	9.075
1.34	0.252	9.145
1.35	0.2551	9.214
1.43	0.2824	9.796
1.44	0.2857	9.865
1.45	0.2889	9.934
1.46	0.2922	10.0
1.47	0.2955	10.07
1.48	0.2988	10.14
1.49	0.3021	10.21
1.5	0.3055	10.28
1.51	0.3089	10.35
1.52	0.3123	10.41
1.53	0.3157	10.48
1.54	0.3191	10.55
1.55	0.3226	10.62
1.56	0.326	10.69
1.57	0.3295	10.76
1.58	0.3331	10.82
1.59	0.3366	10.89
1.6	0.3402	10.96
1.61	0.3437	11.03
1.62	0.3474	11.1
1.63	0.351	11.16
1.64	0.3546	11.23
1.65	0.3583	11.3
1.66	0.362	11.37
1.67	0.3657	11.44
1.68	0.3695	11.5
1.69	0.3732	11.57
1.7	0.377	11.64
1.71	0.3808	11.71
1.72	0.3847	11.77
1.73	0.3885	11.84
1.74	0.3924	11.91
1.75	0.3963	11.98
1.76	0.4003	12.04
1.77	0.4042	12.11
1.78	0.4082	12.18
1.79	0.4123	12.25
1.8	0.4163	12.31
1.81	0.4204	12.38
1.82	0.4245	12.45
1.83	0.4286	12.52
1.84	0.4328	12.58
1.85	0.4369	12.65
1.86	0.4412	12.72
1.87	0.4454	12.78
1.88	0.4497	12.85
1.89	0.454	12.92
1.9	0.4583	12.99
1.91	0.4627	13.05
1.92	0.4671	13.12
1.93	0.4715	13.19
1.94	0.476	13.25
1.95	0.4805	13.32
1.96	0.4851	13.39
1.97	0.4896	13.46
1.98	0.4942	13.52
1.99	0.4989	13.59
2.0	0.5031	13.65
2.007	0.5068	13.7
2.019	0.5129	13.79
2.025	0.516	13.84
2.038	0.5224	13.93
2.045	0.5256	13.97
2.058	0.5321	14.06
2.064	0.5354	14.11
2.077	0.5421	14.2
2.084	0.5455	14.25
2.098	0.5524	14.35
2.104	0.5559	14.39
2.118	0.563	14.49
2.125	0.5666	14.54
2.139	0.5739	14.64
2.146	0.5776	14.69
2.153	0.5814	14.74
2.168	0.589	14.84
2.175	0.5929	14.89
2.19	0.6007	15.0
2.197	0.6047	15.05
2.205	0.6087	15.1
2.22	0.6168	15.21
2.227	0.621	15.26
2.235	0.6252	15.32
2.243	0.6294	15.37
2.258	0.638	15.48
2.266	0.6423	15.54
2.274	0.6468	15.59
2.282	0.6512	15.65
2.298	0.6603	15.76
2.307	0.6649	15.82
2.315	0.6695	15.88
2.323	0.6742	15.94
2.34	0.6837	16.06
2.348	0.6886	16.11
2.357	0.6935	16.17
2.365	0.6984	16.24
2.374	0.7034	16.3
2.383	0.7085	16.36
2.392	0.7136	16.42
2.409	0.724	16.54
2.418	0.7293	16.61
2.427	0.7347	16.67
2.437	0.7401	16.73
2.446	0.7455	16.8
2.455	0.7511	16.86
2.464	0.7566	16.93
2.474	0.7623	17.0
2.483	0.768	17.06
2.493	0.7738	17.13
2.502	0.7797	17.2
2.512	0.7856	17.26
2.522	0.7916	17.33
2.532	0.7976	17.4
2.542	0.8037	17.47
2.552	0.8099	17.54
2.562	0.8162	17.61
2.572	0.8226	17.68
2.582	0.829	17.75
2.593	0.8355	17.83
2.603	0.8421	17.9
2.613	0.8487	17.97
2.624	0.8554	18.05
2.635	0.8623	18.12
2.645	0.8692	18.2
2.656	0.8761	18.27
2.667	0.8832	18.35
2.678	0.8904	18.43
2.689	0.8976	18.5
2.701	0.9049	18.58
2.712	0.9123	18.66
2.723	0.9199	18.74
2.735	0.9275	18.82
2.746	0.9352	18.9
2.758	0.943	18.98
2.77	0.9509	19.06
2.782	0.9589	19.15
2.794	0.967	19.23
2.806	0.9752	19.32
2.818	0.9835	19.4
2.83	0.9919	19.49
2.843	1.0	19.57
2.855	1.009	19.66
2.868	1.018	19.75
2.881	1.027	19.84
2.893	1.036	19.93
2.906	1.045	20.02
2.919	1.054	20.11
2.933	1.063	20.2
2.946	1.073	20.29
2.959	1.082	20.38
2.973	1.092	20.48
2.987	1.102	20.57
3.001	1.112	20.67
3.015	1.122	20.77
3.029	1.132	20.86
3.043	1.143	20.96
3.057	1.153	21.06
3.072	1.164	21.16
3.086	1.175	21.26
3.101	1.186	21.37
3.116	1.197	21.47
3.131	1.209	21.57
3.146	1.22	21.68
3.162	1.232	21.79
3.177	1.244	21.89
3.193	1.256	22.0
3.209	1.268	22.11
3.224	1.28	22.22
3.241	1.293	22.33
3.257	1.305	22.45
3.273	1.318	22.56
3.29	1.331	22.67
3.307	1.345	22.79
3.324	1.358	22.91
3.341	1.372	23.02
3.358	1.386	23.14
3.376	1.4	23.26
3.393	1.414	23.39
3.411	1.429	23.51
3.429	1.444	23.63
3.447	1.459	23.76
3.466	1.474	23.89
3.485	1.49	24.01
3.503	1.505	24.14
3.522	1.521	24.28
3.542	1.538	24.41
3.561	1.554	24.54
3.581	1.571	24.68
3.601	1.588	24.81
3.621	1.605	24.95
3.641	1.623	25.09
3.662	1.641	25.23
3.683	1.659	25.38
3.704	1.678	25.52
3.725	1.697	25.67
3.746	1.716	25.81
3.768	1.735	25.96
3.79	1.755	26.11
3.812	1.775	26.27
3.835	1.796	26.42
3.858	1.817	26.58
3.881	1.838	26.73
3.904	1.859	26.89
3.928	1.881	27.06
3.952	1.904	27.22
3.976	1.927	27.38
4.001	1.95	27.55
4.026	1.974	27.72
4.051	1.998	27.89
4.076	2.022	28.07
4.102	2.047	28.24
4.128	2.072	28.42
4.155	2.098	28.6
4.181	2.125	28.78
4.209	2.152	28.97
4.236	2.179	29.15
4.264	2.207	29.34
4.292	2.235	29.54
4.321	2.264	29.73
4.35	2.294	29.93
4.379	2.324	30.13
4.409	2.355	30.33
4.439	2.386	30.53
4.47	2.418	30.74
4.501	2.451	30.95
4.532	2.484	31.16
4.564	2.518	31.38
4.597	2.553	31.6
4.629	2.588	31.82
4.663	2.624	32.04
4.697	2.661	32.27
4.731	2.699	32.5
4.766	2.737	32.74
4.801	2.776	32.97
4.837	2.817	33.21
4.873	2.858	33.46
4.91	2.899	33.71
4.947	2.942	33.96
4.986	2.986	34.21
5.024	3.031	34.47
5.063	3.077	34.73
5.103	3.123	35.0
5.144	3.171	35.27
5.185	3.22	35.55
5.227	3.27	35.82
5.269	3.321	36.11
5.312	3.374	36.4
5.356	3.427	36.69
5.401	3.482	36.98
5.446	3.539	37.29
5.493	3.596	37.59
5.539	3.655	37.9
5.587	3.716	38.22
5.636	3.778	38.54
5.685	3.841	38.87
5.736	3.906	39.2
5.787	3.973	39.54
5.839	4.042	39.88
5.892	4.112	40.23
5.946	4.184	40.59
6.001	4.258	40.95
6.057	4.334	41.32
6.114	4.412	41.69
6.173	4.492	42.07
6.232	4.574	42.46
6.292	4.658	42.85
6.354	4.745	43.26
6.417	4.834	43.67
6.481	4.926	44.08
6.547	5.02	44.51
6.613	5.117	44.94
6.682	5.216	45.38
6.751	5.319	45.83
6.822	5.424	46.29
6.895	5.533	46.76
6.969	5.645	47.23
7.045	5.76	47.72
7.122	5.879	48.21
7.201	6.001	48.72
7.282	6.127	49.24
7.365	6.258	49.76
7.45	6.392	50.3
7.536	6.53	50.85
7.625	6.673	51.41
7.716	6.82	51.98
7.809	6.973	52.57
7.904	7.13	53.17
8.001	7.293	53.78
8.101	7.461	54.4
8.204	7.634	55.04
8.309	7.814	55.7
8.417	8.0	56.37
8.528	8.193	57.05
8.642	8.392	57.75
8.758	8.598	58.47
8.878	8.812	59.2
9.002	9.034	59.96
9.128	9.263	60.73
9.259	9.502	61.52
9.393	9.749	62.33
9.531	10.01	63.16
9.673	10.27	64.01
9.82	10.55	64.89
9.971	10.84	65.78
10.13	11.14	66.71
10.29	11.45	67.65
10.45	11.77	68.63
10.63	12.11	69.63
10.8	12.46	70.65
10.99	12.83	71.71
11.17	13.21	72.8
11.37	13.61	73.91
11.57	14.02	75.07
11.78	14.46	76.25
12.0	14.91	77.47
12.23	15.38	78.73
12.46	15.88	80.03
12.71	16.4	81.37
12.96	16.94	82.76
13.23	17.51	84.18
13.5	18.1	85.66
13.79	18.72	87.18
14.09	19.38	88.76
14.4	20.06	90.39
14.73	20.78	92.08
15.07	21.54	93.83
15.43	22.33	95.64
15.81	23.17	97.52
16.2	24.04	99.47
16.62	24.97	101.5
17.06	25.94	103.6
17.52	26.97	105.8
18.0	28.05	108.1
18.52	29.19	110.4
19.06	30.39	112.9
19.64	31.66	115.5
20.25	33.0	118.2
20.91	34.41	121.0
21.6	35.91	124.0
22.35	37.49	127.1
23.15	39.16	130.4
24.0	40.92	133.9
24.93	42.79	137.5

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