Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.264848
Extinction coefficient k: 2.87812

Permittivity ε₁: -8.21341
Permittivity ε₂: 1.52453

Absorption coefficient α: 615512 cm⁻¹
Penetration depth δ = λ/(2πk): 32.4933 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -4.14057 µm⁻¹

Group index n_g: 2.69785
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): Rosenblatt et al. 2020: 21-nm film; n,k 0.30–2.0 µm
au = ls.fetch_refractiveindex("main", "Au", "Rosenblatt-21nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (300, 2000) 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_8551b5c8bec7/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/rosenblatt-2020-21nm).

# ... 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

21 nm Au film. Measured using a J.A Woollam VASE ellipsometer at room temperature.

Conditions

film thickness: 21e-9
substrate: SiO2

References

G. Rosenblatt, B. Simkhovich, G. Bartal, M. Orenstein. Nonmodal plasmonics: Controlling the forced optical response of nanostructures. Phys. Rev. X 10, 011071 (2020) (See supplemental materials)

doi:10.1103/physrevx.10.011071 Nonmodal Plasmonics: Controlling the Forced Optical Response of Nanostructures, Physical Review X (2020)

Cite

Gilad Rosenblatt, Boris Simkhovich, Guy Bartal and Meir Orenstein. Nonmodal Plasmonics: Controlling the Forced Optical Response of Nanostructures. Physical Review X, 10, 011071 (2020), doi:10.1103/physrevx.10.011071; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

171 rows as published

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

Au (Gold), Rosenblatt et al. 2020: 21-nm film; n,k 0.30–2.0 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.52117187	1.75745923
0.31	1.55066387	1.77006023
0.32	1.57448313	1.77157236
0.33	1.58651334	1.76165111
0.34	1.57792913	1.74447473
0.35	1.54122906	1.73410055
0.36	1.48458734	1.75500201
0.37	1.44874801	1.81581109
0.38	1.4472083	1.86598905
0.39	1.45133103	1.90142308
0.4	1.4562703	1.92579496
0.41	1.4592672	1.94004237
0.42	1.4578263	1.94445417
0.43	1.44922823	1.93923277
0.44	1.43027418	1.92485538
0.45	1.39711019	1.9024862
0.46	1.34514953	1.87459945
0.47	1.26930756	1.84599387
0.48	1.1651759	1.82522604
0.49	1.03220199	1.82558818
0.5	0.878951533	1.86271531
0.51	0.725605139	1.94564467
0.52	0.595288685	2.06714343
0.53	0.49944226	2.20735413
0.54	0.434514736	2.34772327
0.55	0.390294919	2.47897507
0.56	0.358592834	2.59913251
0.57	0.332634207	2.70324901
0.58	0.296316627	2.80014954
0.59	0.254910954	2.90273722
0.6	0.215794167	3.01283998
0.61	0.183483261	3.12792013
0.62	0.159355419	3.24437112
0.63	0.142676662	3.35929359
0.64	0.131807702	3.47101662
0.65	0.125031991	3.57892528
0.66	0.120945112	3.68307596
0.67	0.118546312	3.78385192
0.68	0.117185504	3.88173613
0.69	0.116467391	3.97719174
0.7	0.116162463	4.07061471
0.71	0.116141047	4.16232536
0.72	0.116330301	4.25257702
0.73	0.116688471	4.34156937
0.74	0.117190414	4.42946111
0.75	0.117819832	4.5163802
0.76	0.118565228	4.6024316
0.77	0.119417837	4.68770279
0.78	0.120370566	4.77226776
0.79	0.121417445	4.85618994
0.8	0.122553313	4.93952426
0.81	0.123773643	5.02231878
0.82	0.125074424	5.10461582
0.83	0.126452073	5.18645295
0.84	0.127903383	5.26786371
0.85	0.129425463	5.34887818
0.86	0.131015706	5.42952347
0.87	0.132671752	5.50982415
0.88	0.134391459	5.58980252
0.89	0.136172881	5.66947891
0.9	0.138014246	5.74887194
0.91	0.139913938	5.82799869
0.92	0.141870482	5.90687485
0.93	0.143882529	5.98551493
0.94	0.145948846	6.0639323
0.95	0.148068301	6.14213939
0.96	0.150239859	6.22014772
0.97	0.152462571	6.29796803
0.98	0.154735567	6.37561029
0.99	0.157058047	6.45308387
1.0	0.159429279	6.53039749
1.01	0.161848591	6.60755933
1.02	0.164315367	6.68457708
1.03	0.166829043	6.76145795
1.04	0.169389103	6.83820875
1.05	0.171995075	6.91483587
1.06	0.174646526	6.99134535
1.07	0.177343064	7.06774291
1.08	0.180084331	7.14403393
1.09	0.182870001	7.22022355
1.1	0.18569978	7.29631659
1.11	0.188573403	7.37231767
1.12	0.191490632	7.44823115
1.13	0.194451252	7.52406119
1.14	0.197455074	7.59981174
1.15	0.200501931	7.67548658
1.16	0.203591675	7.7510893
1.17	0.20672418	7.82662332
1.18	0.209899338	7.90209194
1.19	0.213117057	7.97749828
1.2	0.216377264	8.05284533
1.21	0.219679899	8.12813598
1.22	0.22302492	8.20337297
1.23	0.226412298	8.27855895
1.24	0.229842016	8.35369643
1.25	0.233314071	8.42878786
1.26	0.236828472	8.50383558
1.27	0.240385242	8.57884183
1.28	0.243984411	8.65380878
1.29	0.247626022	8.7287385
1.3	0.251310129	8.80363302
1.31	0.255036794	8.87849425
1.32	0.25880609	8.95332408
1.33	0.262618098	9.0281243
1.34	0.266472909	9.10289665
1.35	0.27037062	9.17764283
1.36	0.27431134	9.25236445
1.37	0.278295182	9.32706309
1.38	0.282322268	9.40174027
1.39	0.28639273	9.47639747
1.4	0.290506702	9.55103612
1.41	0.29466433	9.62565762
1.42	0.298865764	9.70026329
1.43	0.30311116	9.77485445
1.44	0.307400684	9.84943237
1.45	0.311734504	9.92399828
1.46	0.316112796	9.99855337
1.47	0.320535744	10.0730988
1.48	0.325003534	10.1476357
1.49	0.32951636	10.2221652
1.5	0.334074422	10.2966884
1.51	0.338677924	10.3712062
1.52	0.343327077	10.4457198
1.53	0.348022097	10.5202301
1.54	0.352763204	10.5947381
1.55	0.357550625	10.6692446
1.56	0.36238459	10.7437508
1.57	0.367265336	10.8182573
1.58	0.372193105	10.8927652
1.59	0.377168143	10.9672753
1.6	0.3821907	11.0417883
1.61	0.387261034	11.1163052
1.62	0.392379404	11.1908268
1.63	0.397546077	11.2653538
1.64	0.402761323	11.3398869
1.65	0.408025418	11.4144271
1.66	0.41333864	11.4889749
1.67	0.418701274	11.5635311
1.68	0.42411361	11.6380964
1.69	0.429575942	11.7126715
1.7	0.435088567	11.7872571
1.71	0.440651788	11.8618538
1.72	0.446265913	11.9364624
1.73	0.451931255	12.0110834
1.74	0.457648129	12.0857175
1.75	0.463416857	12.1603653
1.76	0.469237765	12.2350273
1.77	0.475111183	12.3097043
1.78	0.481037446	12.3843968
1.79	0.487016894	12.4591054
1.8	0.49304987	12.5338306
1.81	0.499136723	12.6085729
1.82	0.505277806	12.6833331
1.83	0.511473478	12.7581115
1.84	0.5177241	12.8329087
1.85	0.52403004	12.9077252
1.86	0.530391669	12.9825617
1.87	0.536809363	13.0574184
1.88	0.543283504	13.1322961
1.89	0.549814478	13.207195
1.9	0.556402674	13.2821159
1.91	0.563048487	13.357059
1.92	0.569752319	13.4320249
1.93	0.576514573	13.5070141
1.94	0.583335658	13.5820269
1.95	0.59021599	13.657064
1.96	0.597155987	13.7321256
1.97	0.604156073	13.8072123
1.98	0.611216678	13.8823244
1.99	0.618338234	13.9574625
2.0	0.625521182	14.0326268

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