Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.264495
Extinction coefficient k: 3.08538

Permittivity ε₁: -9.44964
Permittivity ε₂: 1.63214

Absorption coefficient α: 659838 cm⁻¹
Penetration depth δ = λ/(2πk): 30.3105 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -2.16905 µm⁻¹

Group index n_g: 1.53903
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: 53-nm film; n,k 0.30–2.0 µm
au = ls.fetch_refractiveindex("main", "Au", "Yakubovsky-53nm", 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_3bc730de2f60/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-2017-53nm).

# ... 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 = 53 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: 53e-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: 53-nm film; n,k 0.30–2.0 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.68487125	1.98039268
0.31	1.71925862	1.98208244
0.32	1.75186297	1.96918387
0.33	1.77019674	1.9466623
0.34	1.7648619	1.91702734
0.35	1.72773546	1.90065981
0.36	1.68325126	1.92003528
0.37	1.65705714	1.95701122
0.38	1.64863426	1.98429605
0.39	1.64425029	2.00310237
0.4	1.63843484	2.01085215
0.41	1.62813204	2.01332594
0.42	1.61184314	2.01021524
0.43	1.58879463	2.00224301
0.44	1.55834258	1.98734528
0.45	1.51599679	1.96127014
0.46	1.45529216	1.92857553
0.47	1.37202764	1.89132549
0.48	1.24788076	1.85343233
0.49	1.07902584	1.84603892
0.5	0.887311588	1.89822462
0.51	0.713599456	2.01658588
0.52	0.576685674	2.17807129
0.53	0.489218756	2.32844844
0.54	0.424970349	2.47591539
0.55	0.377195	2.61297024
0.56	0.338630117	2.74655779
0.57	0.307407209	2.87472801
0.58	0.280979756	2.99592531
0.59	0.259289284	3.11363522
0.6	0.240756225	3.23340936
0.61	0.224662395	3.34580585
0.62	0.210956215	3.45545226
0.63	0.197264461	3.56093306
0.64	0.186512082	3.66917427
0.65	0.177031341	3.77215741
0.66	0.168854021	3.87578374
0.67	0.161944131	3.97830254
0.68	0.156828374	4.08084054
0.69	0.153906503	4.17923471
0.7	0.151850163	4.27738365
0.71	0.152258109	4.37277798
0.72	0.152126176	4.46594207
0.73	0.152781274	4.55970571
0.74	0.153342278	4.65103751
0.75	0.153819304	4.74598324
0.76	0.155051025	4.83494323
0.77	0.157728189	4.91841997
0.78	0.160207973	5.0085249
0.79	0.161545892	5.09645855
0.8	0.162932359	5.18126416
0.81	0.165114471	5.26830135
0.82	0.168351687	5.36253069
0.83	0.168804368	5.43061071
0.84	0.171410076	5.5201395
0.85	0.173395362	5.6011582
0.86	0.176469615	5.69518222
0.87	0.178563308	5.77666856
0.88	0.179935414	5.85811765
0.89	0.183347439	5.93481599
0.9	0.18562345	6.01637795
0.91	0.187778098	6.09837688
0.92	0.19070548	6.17789132
0.93	0.194381763	6.26180942
0.94	0.19740983	6.34126831
0.95	0.200550856	6.42269514
0.96	0.203291482	6.50239307
0.97	0.20528662	6.58476755
0.98	0.208899344	6.66541848
0.99	0.210687292	6.74673517
1.0	0.21200057	6.82066837
1.01	0.213219535	6.90497279
1.02	0.211584094	6.97725802
1.03	0.234595277	7.04373543
1.04	0.237893417	7.1237421
1.05	0.241635816	7.20385132
1.06	0.246405401	7.27021671
1.07	0.250104469	7.3588581
1.08	0.256409513	7.43754595
1.09	0.257573021	7.50664858
1.1	0.263381551	7.58870274
1.11	0.265526876	7.66880068
1.12	0.269651057	7.7384723
1.13	0.276339044	7.82088153
1.14	0.280659152	7.89835189
1.15	0.285471511	7.97315369
1.16	0.290201133	8.05347866
1.17	0.296422668	8.13587893
1.18	0.300716372	8.20114216
1.19	0.303053256	8.27473187
1.2	0.310388939	8.350481
1.21	0.314856901	8.43243735
1.22	0.320600139	8.51176593
1.23	0.324344999	8.58758712
1.24	0.331328949	8.65984137
1.25	0.332645773	8.73941711
1.26	0.336248158	8.82930464
1.27	0.342285274	8.88346952
1.28	0.346564597	8.96816082
1.29	0.351428584	9.04289678
1.3	0.355997885	9.11993803
1.31	0.358073796	9.19217078
1.32	0.364479105	9.27201307
1.33	0.371181353	9.3467418
1.34	0.376009669	9.42387428
1.35	0.379866572	9.49385849
1.36	0.386164696	9.57631527
1.37	0.385952052	9.65140629
1.38	0.392589504	9.72118438
1.39	0.39857788	9.80030779
1.4	0.406046467	9.87806944
1.41	0.411129793	9.95891121
1.42	0.413949542	10.029752
1.43	0.416252769	10.0990724
1.44	0.420462038	10.1738377
1.45	0.425171066	10.2478251
1.46	0.431053698	10.3302143
1.47	0.437926516	10.4099637
1.48	0.44074624	10.47648
1.49	0.444346571	10.5475532
1.5	0.451720042	10.6222241
1.51	0.456580703	10.6993297
1.52	0.455512557	10.7706499
1.53	0.461559647	10.8440943
1.54	0.467741958	10.9321503
1.55	0.470019859	10.9970846
1.56	0.482852144	11.074022
1.57	0.48940309	11.1533534
1.58	0.491681499	11.2266634
1.59	0.489333772	11.2938819
1.6	0.497248602	11.3676343
1.61	0.504014345	11.4434365
1.62	0.509096222	11.5226058
1.63	0.507284031	11.5989304
1.64	0.519547051	11.6742672
1.65	0.518810325	11.7580398
1.66	0.529607277	11.8259572
1.67	0.531412373	11.9014504
1.68	0.538479504	11.9638285
1.69	0.545283721	12.0433618
1.7	0.549434613	12.1214147
1.71	0.555257287	12.1844177
1.72	0.562612629	12.2625711
1.73	0.561610421	12.329836
1.74	0.563433244	12.4010887
1.75	0.566670705	12.4756629
1.76	0.573545974	12.5451965
1.77	0.580056907	12.6176764
1.78	0.587323742	12.6961092
1.79	0.590618188	12.7509463
1.8	0.595955741	12.82125
1.81	0.595601168	12.8939616
1.82	0.604313451	12.9690964
1.83	0.612653459	13.033475
1.84	0.618938018	13.1002529
1.85	0.621498333	13.1722126
1.86	0.629676797	13.2315577
1.87	0.632158176	13.3055481
1.88	0.636520002	13.3866327
1.89	0.640563325	13.4497078
1.9	0.652175796	13.5810652
1.91	0.654337004	13.6515342
1.92	0.656263076	13.7282728
1.93	0.668167487	13.791994
1.94	0.67128909	13.8593384
1.95	0.676868651	13.9343885
1.96	0.686176011	14.0036431
1.97	0.695442171	14.0729111
1.98	0.706423741	14.14392
1.99	0.70899982	14.2136619
2.0	0.71382792	14.2978189

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