At one wavelength

Refractive index n: 0.0302949
Extinction coefficient k: 3.99743

Permittivity ε₁: -15.9785
Permittivity ε₂: 0.242203

Absorption coefficient α: 854887 cm⁻¹
Penetration depth δ = λ/(2πk): 23.3949 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.0113136 µm⁻¹

Group index n_g: 0.023647
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

# Ag (Silver): Wu et al. 2014: n,k 0.29–1.00 µm
ag = ls.fetch_refractiveindex("main", "Ag", "Wu", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ag.range_nm)  # (287.493, 999.308) nm
eps = ag.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_7d439906667a/lightsmith"
ag = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ag.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (ag/wu-2014).

# ... load ag as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ag)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=999, 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

Abstract: Using atomically smooth epitaxial silver films, new optical permittivity highlighting significant loss reduction in the visible frequency range is extracted. Largely enhanced propagation distances of surface plasmon polaritons are measured, confirming the low intrinsic loss in silver. The new permittivity is free of extrinsic spectral features associated with grain boundaries and localized plasmons inevitably present in thermally deposited films.

References

Y. Wu, C. Zhang, N. M. Estakhri, Y. Zhao, J. Kim, M. Zhang, X. X. Liu, G. K. Pribil, A. Alù, C. K. Shih, X. Li. Intrinsic optical properties and enhanced plasmonic response of epitaxial silver. Adv. Mater. 26, 6106-6110 (2014) (See Supporting information)

doi:10.1002/adma.201401474 Intrinsic Optical Properties and Enhanced Plasmonic Response of Epitaxial Silver, Advanced Materials (2014)

Cite

Yanwen Wu et al.. Intrinsic Optical Properties and Enhanced Plasmonic Response of Epitaxial Silver. Advanced Materials, 26, 6106-6110 (2014), doi:10.1002/adma.201401474; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

450 rows as published

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

Ag (Silver), Wu et al. 2014: n,k 0.29–1.00 µm: n and k versus wavelength
λ (µm)	n	k
0.287493	1.563903	1.305356
0.289088	1.582676	1.283301
0.290688	1.601122	1.256838
0.292278	1.618481	1.225594
0.293878	1.633876	1.189349
0.295468	1.646328	1.14804
0.297068	1.654832	1.101894
0.298664	1.658402	1.051283
0.300255	1.656109	0.996794
0.301856	1.647161	0.939222
0.303444	1.630915	0.879537
0.305042	1.606893	0.818723
0.306641	1.574833	0.75789
0.308234	1.53469	0.698121
0.309829	1.486491	0.640434
0.311424	1.430477	0.585888
0.31302	1.366941	0.535283
0.314617	1.296262	0.489484
0.316214	1.218708	0.449164
0.31781	1.13455	0.415094
0.319407	1.043865	0.387986
0.321003	0.946569	0.368853
0.322598	0.842354	0.359249
0.324193	0.730903	0.361827
0.325786	0.612813	0.381234
0.327386	0.492549	0.424405
0.328975	0.382743	0.495542
0.330572	0.298067	0.58564
0.332166	0.240065	0.67844
0.333766	0.20113	0.765051
0.335364	0.174238	0.843474
0.336959	0.154931	0.914245
0.338551	0.14055	0.97844
0.340149	0.129481	1.037143
0.341743	0.120704	1.091178
0.343342	0.113554	1.1414
0.344937	0.107594	1.188308
0.346538	0.102516	1.23244
0.348133	0.098118	1.274177
0.349724	0.094246	1.313843
0.35132	0.090798	1.351682
0.35292	0.087693	1.387909
0.354514	0.084868	1.422745
0.356113	0.082283	1.456321
0.357705	0.079899	1.488752
0.359302	0.077693	1.520143
0.360902	0.075639	1.550652
0.362495	0.073724	1.580296
0.364092	0.071926	1.609153
0.365692	0.070241	1.637295
0.367284	0.06865	1.664816
0.36888	0.067151	1.691718
0.370478	0.065731	1.718057
0.372079	0.064386	1.743859
0.373671	0.063108	1.769176
0.375266	0.061893	1.794054
0.376863	0.060737	1.818485
0.378462	0.059635	1.842541
0.380051	0.058581	1.866208
0.381654	0.057575	1.889528
0.383247	0.056615	1.912487
0.384841	0.055693	1.935149
0.386436	0.05481	1.957499
0.388033	0.053964	1.979574
0.38963	0.053149	2.001356
0.391228	0.052368	2.022904
0.392827	0.051617	2.044203
0.394427	0.050894	2.065258
0.396014	0.050199	2.086102
0.397615	0.049529	2.10674
0.399215	0.048885	2.127155
0.400815	0.048261	2.147377
0.402402	0.047661	2.167411
0.404002	0.047081	2.187285
0.405601	0.046521	2.206981
0.4072	0.04598	2.226503
0.408798	0.045457	2.245878
0.410394	0.044952	2.265087
0.41199	0.044465	2.284158
0.413584	0.043991	2.303071
0.415177	0.043534	2.321873
0.416768	0.043091	2.340525
0.418371	0.042663	2.359051
0.419972	0.042249	2.377474
0.421557	0.041847	2.395757
0.423154	0.041457	2.413943
0.424749	0.041079	2.432013
0.426356	0.040713	2.449971
0.427945	0.040358	2.467819
0.429546	0.040015	2.485579
0.431144	0.039681	2.503233
0.43274	0.039357	2.520803
0.434331	0.039042	2.538272
0.435935	0.038738	2.555661
0.437519	0.038442	2.572951
0.439115	0.038156	2.590185
0.440723	0.037876	2.607304
0.442311	0.037607	2.624369
0.44391	0.037345	2.641343
0.445506	0.037088	2.658247
0.447096	0.036842	2.675081
0.448698	0.036602	2.691828
0.450295	0.036368	2.708528
0.451887	0.036143	2.725143
0.45349	0.035923	2.741713
0.455088	0.03571	2.758201
0.456681	0.035502	2.774646
0.458284	0.035301	2.791012
0.459865	0.035105	2.807318
0.461474	0.034915	2.823583
0.46306	0.034732	2.839772
0.464656	0.034553	2.855923
0.466264	0.03438	2.872017
0.467847	0.034212	2.888057
0.469442	0.034047	2.904042
0.471047	0.033889	2.919974
0.472645	0.033734	2.935871
0.474236	0.033586	2.951699
0.475837	0.033441	2.967494
0.477432	0.033301	2.983238
0.479018	0.033165	2.99895
0.480615	0.033032	3.014613
0.482222	0.032905	3.030228
0.483803	0.032781	3.045796
0.485413	0.032661	3.061334
0.486996	0.032545	3.076826
0.488588	0.032431	3.092273
0.490192	0.032323	3.107691
0.491786	0.032217	3.123065
0.493391	0.032115	3.138396
0.494986	0.032016	3.1537
0.496572	0.031921	3.168914
0.498169	0.031829	3.184182
0.499775	0.031739	3.199376
0.501351	0.031653	3.214499
0.502958	0.031571	3.229705
0.504555	0.03149	3.244841
0.506141	0.031413	3.259906
0.507737	0.031338	3.274902
0.509343	0.031268	3.289829
0.510938	0.031198	3.304841
0.512522	0.031133	3.319785
0.514116	0.031069	3.334661
0.51572	0.031008	3.349621
0.517312	0.030949	3.364515
0.518914	0.030894	3.379342
0.520505	0.03084	3.394105
0.522105	0.030789	3.408804
0.523692	0.03074	3.423587
0.52529	0.030694	3.438305
0.526875	0.030648	3.453106
0.528469	0.030607	3.467699
0.530074	0.030567	3.482375
0.531665	0.030528	3.496989
0.533265	0.030492	3.511542
0.534853	0.030458	3.526177
0.536449	0.030426	3.540752
0.538032	0.030397	3.555267
0.539648	0.030369	3.569723
0.541227	0.030342	3.58426
0.542814	0.030319	3.598739
0.544411	0.030296	3.613159
0.546018	0.030277	3.627522
0.547609	0.030257	3.641966
0.54921	0.030241	3.656353
0.550796	0.030225	3.670683
0.552391	0.030211	3.685093
0.553996	0.030199	3.699448
0.555584	0.030188	3.713746
0.557182	0.03018	3.72799
0.558764	0.030174	3.74218
0.560355	0.030168	3.756449
0.561955	0.030164	3.770664
0.563539	0.030161	3.784958
0.565131	0.03016	3.799067
0.566733	0.030161	3.813254
0.568318	0.030163	3.827389
0.569911	0.030166	3.841603
0.571514	0.030171	3.855634
0.573099	0.030178	3.869743
0.574693	0.030185	3.88393
0.576295	0.030194	3.897937
0.57788	0.030203	3.912022
0.579474	0.030215	3.926056
0.581076	0.030228	3.94004
0.58266	0.030242	3.954101
0.584252	0.030257	3.968112
0.585854	0.030274	3.982074
0.587436	0.030293	3.995988
0.589027	0.030311	4.009977
0.590626	0.030331	4.023918
0.592206	0.030353	4.037811
0.593822	0.030374	4.05178
0.595391	0.030398	4.065701
0.596996	0.030424	4.079574
0.598582	0.030449	4.0934
0.600175	0.030476	4.107302
0.601777	0.030506	4.121035
0.603359	0.030534	4.134965
0.604949	0.030564	4.148727
0.606547	0.030595	4.162564
0.608153	0.030627	4.176355
0.609738	0.030662	4.1901
0.611332	0.030696	4.203801
0.612903	0.030731	4.217576
0.614513	0.030768	4.231306
0.616101	0.030805	4.245109
0.617697	0.030844	4.25875
0.619271	0.030883	4.272465
0.620883	0.030923	4.286135
0.622473	0.030964	4.299879
0.62404	0.031006	4.313579
0.625646	0.031049	4.327235
0.627228	0.031093	4.340849
0.628819	0.031138	4.354534
0.630417	0.031183	4.368063
0.631992	0.03123	4.381664
0.633607	0.031277	4.395336
0.635197	0.031325	4.408966
0.636763	0.031374	4.422554
0.63837	0.031424	4.4361
0.639951	0.031476	4.449606
0.641541	0.031527	4.463182
0.643138	0.03158	4.476717
0.644744	0.031633	4.490212
0.646323	0.031687	4.503777
0.647911	0.031741	4.517301
0.649506	0.031798	4.530785
0.651075	0.031854	4.544339
0.652686	0.031912	4.557743
0.65427	0.03197	4.571217
0.655862	0.032028	4.58476
0.657462	0.032087	4.598155
0.659035	0.032147	4.611619
0.660615	0.032208	4.625045
0.662203	0.03227	4.638539
0.663798	0.032332	4.651886
0.665401	0.032396	4.665303
0.666976	0.032459	4.678681
0.668559	0.032524	4.692127
0.670149	0.032588	4.705535
0.671746	0.032655	4.718905
0.673351	0.032721	4.732237
0.674928	0.032788	4.745637
0.676511	0.032856	4.759
0.678102	0.032925	4.772325
0.679701	0.032995	4.785613
0.681269	0.033064	4.798968
0.682845	0.033135	4.812286
0.684466	0.033206	4.825568
0.686019	0.033277	4.838916
0.687617	0.03335	4.852228
0.689222	0.033423	4.865503
0.690797	0.033497	4.878742
0.692378	0.033571	4.892047
0.693967	0.033646	4.905317
0.695564	0.033722	4.91855
0.697128	0.033798	4.93185
0.698739	0.033876	4.945012
0.700317	0.033952	4.958342
0.701903	0.03403	4.971535
0.703496	0.034109	4.984793
0.705097	0.034188	4.997916
0.706664	0.034267	5.011205
0.708238	0.034348	5.024359
0.70982	0.034429	5.037577
0.711408	0.034511	5.050761
0.713004	0.034593	5.063911
0.714606	0.034675	5.077125
0.716175	0.034758	5.090305
0.71775	0.034842	5.103451
0.719333	0.034926	5.116563
0.720922	0.035011	5.129739
0.722519	0.035096	5.142882
0.724122	0.035182	5.15599
0.72569	0.035268	5.169163
0.727265	0.035356	5.182205
0.728847	0.035443	5.195311
0.730436	0.035531	5.20848
0.732032	0.03562	5.22152
0.733634	0.035708	5.234623
0.7352	0.035798	5.247788
0.736773	0.035888	5.260826
0.738353	0.035979	5.273926
0.739939	0.03607	5.286994
0.741532	0.036161	5.300029
0.743132	0.036254	5.313127
0.744695	0.036346	5.326192
0.746308	0.036439	5.339225
0.747884	0.036532	5.352227
0.749466	0.036626	5.36529
0.751055	0.036721	5.378322
0.752605	0.036817	5.391322
0.754208	0.036912	5.404384
0.755771	0.037008	5.417321
0.757387	0.037105	5.43032
0.758963	0.037201	5.44338
0.760546	0.037299	5.456317
0.762135	0.037397	5.469314
0.763685	0.037495	5.482372
0.765287	0.037594	5.495308
0.766849	0.037693	5.508305
0.768465	0.037793	5.521271
0.77004	0.037893	5.534206
0.771622	0.037993	5.547201
0.77321	0.038095	5.560077
0.774756	0.038196	5.573101
0.776357	0.038298	5.586006
0.777916	0.0384	5.598971
0.77953	0.038503	5.611905
0.781101	0.038607	5.62481
0.782679	0.038711	5.637686
0.784263	0.038814	5.65062
0.785854	0.038919	5.663525
0.787401	0.039025	5.676401
0.789005	0.03913	5.689335
0.790564	0.039235	5.70224
0.79213	0.039342	5.715116
0.793753	0.039449	5.727963
0.795331	0.039556	5.740868
0.796916	0.039664	5.753744
0.798456	0.039772	5.766592
0.800053	0.03988	5.779497
0.801605	0.039989	5.792374
0.803215	0.040098	5.805222
0.804779	0.040208	5.818042
0.806349	0.040318	5.83092
0.807925	0.040429	5.843769
0.809508	0.040539	5.85659
0.811096	0.040651	5.869383
0.812691	0.040763	5.882233
0.814239	0.040875	5.895055
0.815847	0.040987	5.907849
0.817406	0.0411	5.9207
0.818972	0.041213	5.933523
0.820544	0.041326	5.946319
0.822122	0.041441	5.959087
0.823706	0.041555	5.971911
0.825296	0.04167	5.984709
0.826892	0.041786	5.997478
0.828439	0.041901	6.010221
0.830048	0.042017	6.02302
0.831606	0.042134	6.035791
0.833171	0.042251	6.048536
0.834742	0.042368	6.061336
0.836318	0.042485	6.074109
0.837901	0.042603	6.086856
0.839489	0.042722	6.099576
0.841027	0.04284	6.112351
0.842627	0.042959	6.1251
0.844176	0.043079	6.137822
0.845789	0.043199	6.150518
0.84735	0.043319	6.163268
0.848916	0.043439	6.175993
0.850488	0.04356	6.188691
0.852067	0.043681	6.201444
0.85365	0.043803	6.214171
0.85524	0.043925	6.226872
0.856777	0.044047	6.239546
0.858379	0.04417	6.252276
0.859926	0.044293	6.264979
0.86154	0.044416	6.277657
0.863099	0.044541	6.290309
0.864664	0.044664	6.303015
0.866235	0.044789	6.315695
0.867811	0.044915	6.32835
0.869393	0.045039	6.341059
0.870981	0.045165	6.353742
0.872514	0.045291	6.3664
0.874113	0.045417	6.379033
0.875656	0.045543	6.391719
0.877267	0.045671	6.404302
0.878822	0.045798	6.417016
0.880382	0.045926	6.429627
0.881948	0.046053	6.442292
0.883519	0.046182	6.454931
0.885096	0.04631	6.467545
0.886678	0.04644	6.480136
0.888266	0.046569	6.492778
0.889796	0.046699	6.505396
0.891395	0.046829	6.51799
0.892936	0.046959	6.530636
0.894547	0.04709	6.543257
0.896099	0.047221	6.555855
0.897656	0.047352	6.568428
0.899218	0.047484	6.581053
0.900786	0.047616	6.593654
0.90236	0.047748	6.60623
0.903938	0.047881	6.618783
0.905523	0.048014	6.631388
0.907047	0.048147	6.643969
0.908642	0.048281	6.656525
0.910176	0.048416	6.669134
0.911783	0.04855	6.681643
0.913327	0.048685	6.694204
0.914877	0.048819	6.706816
0.916501	0.048955	6.71933
0.918061	0.04909	6.731895
0.919628	0.049226	6.744436
0.921199	0.049363	6.757029
0.922776	0.0495	6.769524
0.92429	0.049636	6.782069
0.925877	0.049773	6.794592
0.92747	0.049911	6.807165
0.928999	0.050049	6.819641
0.930603	0.050188	6.832168
0.932142	0.050325	6.844745
0.933686	0.050464	6.857226
0.935306	0.050604	6.869757
0.936861	0.050743	6.882265
0.938421	0.050883	6.894751
0.939986	0.051023	6.907286
0.941557	0.051164	6.919727
0.943061	0.051304	6.932289
0.944642	0.051445	6.944757
0.946228	0.051587	6.957202
0.947819	0.051728	6.969697
0.949343	0.05187	6.982169
0.950945	0.052012	6.994691
0.952479	0.052155	7.007119
0.954018	0.052298	7.019597
0.955636	0.052441	7.032123
0.957185	0.052584	7.044556
0.95874	0.052728	7.057038
0.960299	0.052872	7.069498
0.961863	0.053016	7.081936
0.963433	0.053161	7.094352
0.965008	0.053306	7.106817
0.966512	0.053451	7.11926
0.968097	0.053597	7.131681
0.969687	0.053743	7.144151
0.971206	0.053889	7.156599
0.972807	0.054035	7.169025
0.974336	0.054182	7.18143
0.975869	0.054329	7.193883
0.977485	0.054476	7.206245
0.979029	0.054624	7.218725
0.980577	0.054772	7.231113
0.982131	0.05492	7.243481
0.983689	0.055069	7.255896
0.985253	0.055217	7.268291
0.986821	0.055366	7.280732
0.988394	0.055516	7.293153
0.989894	0.055666	7.305484
0.991477	0.055815	7.317931
0.993065	0.055966	7.330289
0.994579	0.056116	7.342694
0.996177	0.056267	7.355078
0.9977	0.056418	7.367441
0.999308	0.056569	7.379783

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