Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.227222
Extinction coefficient k: 3.02019

Permittivity ε₁: -9.06993
Permittivity ε₂: 1.37251

Absorption coefficient α: 645896 cm⁻¹
Penetration depth δ = λ/(2πk): 30.9647 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -1.9585 µm⁻¹

Group index n_g: 1.37804
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): Yakubovsky et al. 2017: 117-nm film; n,k 0.30–2.0 µm
au = ls.fetch_refractiveindex("main", "Au", "Yakubovsky-117nm", 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_259490599085/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/yakubovsky-2017-117nm).

# ... 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

Au thickness = 117 nm, e-beam evaporated at 1 Å/s with base pressure of 7e-7 Torr on Si wafer at T = 20 °C. Thickness determined by AFM and XRR.

Conditions

film thickness: 117e-9
substrate: Si

References

D. I. Yakubovsky, A. V. Arsenin, Y. V. Stebunov, D. Yu. Fedyanin, V. S. Volkov. Optical constants and structural properties of thin gold films. Opt. Express 25, 25574-25587 (2017)

doi:10.1364/oe.25.025574 Optical constants and structural properties of thin gold films, Optics Express (2017)

Cite

Dmitry I. Yakubovsky, Aleksey V. Arsenin, Yury V. Stebunov, Dmitry Yu. Fedyanin and Valentyn S. Volkov. Optical constants and structural properties of thin gold films. Optics Express, 25, 25574 (2017), doi:10.1364/oe.25.025574; 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), Yakubovsky et al. 2017: 117-nm film; n,k 0.30–2.0 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.64041033	1.95599843
0.31	1.67663901	1.95498721
0.32	1.71392255	1.94861056
0.33	1.7371189	1.9274731
0.34	1.73679942	1.89861533
0.35	1.70493567	1.87620795
0.36	1.66160649	1.89365292
0.37	1.63665538	1.92546303
0.38	1.62811507	1.94785125
0.39	1.62210242	1.96184458
0.4	1.61647831	1.97010263
0.41	1.60524538	1.97051961
0.42	1.58848029	1.96521345
0.43	1.56530479	1.95400757
0.44	1.53499679	1.93678259
0.45	1.49178732	1.90835917
0.46	1.43095801	1.87257882
0.47	1.34711294	1.83227368
0.48	1.21955294	1.79151336
0.49	1.04789983	1.78013899
0.5	0.85246802	1.8322316
0.51	0.679176705	1.94873531
0.52	0.541457218	2.11087109
0.53	0.452101673	2.26230872
0.54	0.387062915	2.40920071
0.55	0.338188089	2.54904171
0.56	0.298954611	2.682082
0.57	0.267720512	2.80962918
0.58	0.242106885	2.9327248
0.59	0.222521873	3.04781224
0.6	0.203958032	3.16688023
0.61	0.18839197	3.27818793
0.62	0.174967662	3.38702993
0.63	0.163039817	3.49309926
0.64	0.152677982	3.60008422
0.65	0.143298342	3.70301121
0.66	0.135219233	3.80305792
0.67	0.128201302	3.90353849
0.68	0.123253481	4.00549857
0.69	0.120314346	4.10241831
0.7	0.118674305	4.20034173
0.71	0.118801128	4.29371695
0.72	0.11887958	4.38558526
0.73	0.119515774	4.47909845
0.74	0.12037264	4.56858375
0.75	0.120019627	4.66080181
0.76	0.121158951	4.74990128
0.77	0.122491692	4.83323227
0.78	0.123832761	4.9228352
0.79	0.124983601	5.00868302
0.8	0.127002919	5.09338899
0.81	0.128450175	5.17869829
0.82	0.130538811	5.27251247
0.83	0.131897577	5.33956445
0.84	0.133847421	5.42779904
0.85	0.135964843	5.50610842
0.86	0.138530279	5.59980076
0.87	0.140236478	5.68121574
0.88	0.141767176	5.76023281
0.89	0.144250227	5.83478274
0.9	0.146676289	5.915712
0.91	0.148222864	5.99629529
0.92	0.15209381	6.07425885
0.93	0.154297675	6.15781653
0.94	0.156751047	6.23700205
0.95	0.159772506	6.31842559
0.96	0.162166407	6.39577808
0.97	0.165024268	6.4775442
0.98	0.167030355	6.55631163
0.99	0.167767712	6.63673726
1.0	0.169528169	6.70952799
1.01	0.170129275	6.78950508
1.02	0.169765367	6.85919981
1.03	0.193730474	6.94150282
1.04	0.196999541	7.01625013
1.05	0.202009953	7.09720223
1.06	0.204501023	7.16547863
1.07	0.20880255	7.25036137
1.08	0.211242681	7.33230942
1.09	0.214940413	7.39539739
1.1	0.220261517	7.47786384
1.11	0.22318121	7.55779308
1.12	0.229303383	7.62538115
1.13	0.233780311	7.7088997
1.14	0.239464788	7.78388828
1.15	0.240389676	7.86406467
1.16	0.244024682	7.94565847
1.17	0.249327395	8.02021673
1.18	0.254271222	8.08569216
1.19	0.259806251	8.15933083
1.2	0.263290662	8.23460717
1.21	0.270863055	8.31631258
1.22	0.273004824	8.39185334
1.23	0.276845426	8.46584415
1.24	0.283884288	8.5387417
1.25	0.286403846	8.62033396
1.26	0.286112495	8.7073737
1.27	0.291961181	8.76348467
1.28	0.291073562	8.83477743
1.29	0.29705484	8.91797408
1.3	0.30717934	8.99511394
1.31	0.308878168	9.06923106
1.32	0.307515343	9.14676861
1.33	0.315035514	9.21484052
1.34	0.323467309	9.29197962
1.35	0.325275387	9.36711868
1.36	0.332418839	9.45052436
1.37	0.332461978	9.51832212
1.38	0.338398605	9.58958623
1.39	0.340014998	9.66212932
1.4	0.34871804	9.74258243
1.41	0.352931105	9.82166924
1.42	0.35414742	9.88716053
1.43	0.356602367	9.95754365
1.44	0.364850498	10.0401564
1.45	0.377191709	10.1136809
1.46	0.373528687	10.1888842
1.47	0.370711508	10.272608
1.48	0.377860166	10.3288432
1.49	0.379356656	10.4058407
1.5	0.379709104	10.4781716
1.51	0.388320089	10.5489648
1.52	0.394088053	10.6156623
1.53	0.397301312	10.7063069
1.54	0.404524096	10.7908456
1.55	0.401785516	10.8443075
1.56	0.407006578	10.9254962
1.57	0.41127919	10.9921846
1.58	0.419241686	11.0629491
1.59	0.425788954	11.1320204
1.6	0.424489839	11.2177559
1.61	0.430342816	11.2989599
1.62	0.436778305	11.3702752
1.63	0.441896168	11.4436012
1.64	0.440246657	11.5165731
1.65	0.447422843	11.5944759
1.66	0.451920347	11.6630682
1.67	0.454471869	11.7412591
1.68	0.453537001	11.8062711
1.69	0.4568861	11.8818498
1.7	0.45908476	11.9564117
1.71	0.461586065	12.0182468
1.72	0.469429475	12.0925669
1.73	0.475152015	12.1592738
1.74	0.476620506	12.2324903
1.75	0.485420645	12.2957879
1.76	0.490647866	12.3682126
1.77	0.492823876	12.4396298
1.78	0.501361923	12.5058263
1.79	0.504507482	12.5715492
1.8	0.505507959	12.6453362
1.81	0.51038726	12.7155123
1.82	0.513402641	12.7846243
1.83	0.51665687	12.848868
1.84	0.515242627	12.9162549
1.85	0.526318409	12.9905278
1.86	0.530203064	13.0538655
1.87	0.534847981	13.1304142
1.88	0.537328097	13.1956633
1.89	0.540558349	13.2544342
1.9	0.554528182	13.3805579
1.91	0.554088334	13.4474913
1.92	0.561568919	13.5145351
1.93	0.569601266	13.5887686
1.94	0.577520898	13.6624721
1.95	0.588886882	13.7299257
1.96	0.587100173	13.8073452
1.97	0.594625184	13.8934129
1.98	0.595217796	13.9681206
1.99	0.599760919	14.0446593
2.0	0.60777371	14.104028

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