At one wavelength

Refractive index n: 1.27087
Extinction coefficient k: 1.49941

Permittivity ε₁: -0.63312
Permittivity ε₂: 3.81111

Absorption coefficient α: 747704 cm⁻¹
Penetration depth δ = λ/(2πk): 26.7486 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 4.51628 µm⁻¹

Group index n_g: 0.132768
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 4.92001 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): Stahrenberg et al. 2001: n,k 0.128–0.496 µm
ag = ls.fetch_refractiveindex("main", "Ag", "Stahrenberg", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ag.range_nm)  # (127.82, 495.94) nm
eps = ag.eps([252])  # 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_653760eb9d29/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/stahrenberg-2001).

# ... 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=495, 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.

References

K. Stahrenberg, Th. Herrmann, K. Wilmers, N. Esser, W. Richter, and M. J. G. Lee. Optical properties of copper and silver in the energy range 2.5-9.0 eV. Phys Rev. B 64, 115111 (2001) (Numerical data kindly provided by Prof. Dr. Norbert Esser)

doi:10.1103/physrevb.64.115111 Optical properties of copper and silver in the energy range 2.5–9.0 eV, Physical Review B (2001)

Cite

K. Stahrenberg et al.. Optical properties of copper and silver in the energy range 2.5–9.0 eV. Physical Review B, 64, 115111 (2001), doi:10.1103/physrevb.64.115111; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

361 rows as published

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

Ag (Silver), Stahrenberg et al. 2001: n,k 0.128–0.496 µm: n and k versus wavelength
λ (µm)	n	k
0.12782	1.10047	0.72025
0.12808	1.10131	0.72092
0.12835	1.10177	0.72135
0.12861	1.10169	0.72134
0.12888	1.101	0.7208
0.12915	1.09967	0.71975
0.12942	1.09762	0.71822
0.12969	1.09481	0.71619
0.12996	1.09145	0.71374
0.13024	1.08796	0.71109
0.13051	1.08474	0.70849
0.13078	1.08194	0.70609
0.13106	1.07956	0.70392
0.13134	1.07761	0.70203
0.13162	1.076	0.70043
0.1319	1.0745	0.69911
0.13218	1.07305	0.69803
0.13246	1.07165	0.69717
0.13275	1.07019	0.69646
0.13303	1.06863	0.69586
0.13332	1.067	0.69539
0.1336	1.06519	0.69501
0.13389	1.06311	0.69468
0.13418	1.06069	0.69431
0.13447	1.05788	0.69384
0.13477	1.0547	0.69326
0.13506	1.05129	0.69264
0.13535	1.04786	0.69208
0.13565	1.04452	0.69169
0.13595	1.04136	0.69159
0.13625	1.03835	0.69186
0.13655	1.03546	0.69254
0.13685	1.03258	0.69357
0.13715	1.02959	0.69486
0.13745	1.02649	0.69631
0.13776	1.02333	0.69786
0.13807	1.02008	0.69935
0.13838	1.01667	0.7007
0.13868	1.01312	0.70195
0.139	1.00959	0.70326
0.13931	1.0063	0.70479
0.13962	1.00327	0.70659
0.13994	1.00043	0.7086
0.14025	0.99765	0.71068
0.14057	0.99478	0.71266
0.14089	0.9917	0.71446
0.14121	0.98833	0.71602
0.14153	0.98477	0.71742
0.14186	0.98106	0.71871
0.14218	0.97724	0.71992
0.14251	0.97339	0.72109
0.14284	0.96943	0.72222
0.14317	0.96532	0.72333
0.1435	0.96113	0.72452
0.14383	0.95706	0.72591
0.14417	0.95333	0.72764
0.1445	0.95	0.72972
0.14484	0.94698	0.73206
0.14518	0.94414	0.73458
0.14552	0.94137	0.7372
0.14586	0.93855	0.73982
0.14621	0.93563	0.74239
0.14655	0.93257	0.74486
0.1469	0.92931	0.74718
0.14725	0.92578	0.74931
0.1476	0.922	0.75125
0.14795	0.9181	0.75314
0.14831	0.91416	0.75509
0.14866	0.91017	0.75713
0.14902	0.90608	0.75929
0.14938	0.90197	0.76166
0.14974	0.89796	0.76437
0.1501	0.89411	0.76744
0.15047	0.89043	0.7709
0.15083	0.88696	0.77474
0.1512	0.8837	0.77897
0.15157	0.88061	0.78354
0.15194	0.87762	0.78837
0.15231	0.87469	0.79342
0.15269	0.8718	0.79864
0.15307	0.86889	0.80393
0.15345	0.86587	0.80921
0.15383	0.86267	0.81443
0.15421	0.85933	0.81961
0.15459	0.8559	0.82477
0.15498	0.85246	0.82997
0.15537	0.84911	0.83528
0.15576	0.84597	0.84077
0.15615	0.84313	0.84652
0.15655	0.84073	0.85258
0.15694	0.83879	0.85897
0.15734	0.83725	0.86563
0.15774	0.83597	0.87247
0.15814	0.8348	0.87934
0.15855	0.83363	0.88619
0.15895	0.83246	0.89296
0.15936	0.8313	0.89969
0.15977	0.83023	0.9064
0.16019	0.8293	0.91312
0.1606	0.82853	0.91987
0.16102	0.82797	0.92667
0.16144	0.82762	0.93353
0.16186	0.8275	0.94043
0.16228	0.82762	0.94737
0.16271	0.82798	0.95434
0.16314	0.82857	0.96136
0.16357	0.82933	0.96839
0.164	0.83021	0.97545
0.16444	0.83118	0.98251
0.16487	0.83223	0.98958
0.16531	0.83088	0.99959
0.16575	0.83127	1.01158
0.1662	0.82727	1.0256
0.16665	0.82808	1.03261
0.16709	0.82886	1.0382
0.16755	0.82962	1.04289
0.168	0.83035	1.04727
0.16846	0.83108	1.05195
0.16892	0.83186	1.05693
0.16938	0.83273	1.06215
0.16984	0.83368	1.06808
0.17031	0.83476	1.07462
0.17078	0.83595	1.08125
0.17125	0.83723	1.08787
0.17172	0.8386	1.09421
0.1722	0.84003	1.1
0.17268	0.84149	1.10533
0.17316	0.84298	1.11071
0.17365	0.84453	1.11637
0.17413	0.84615	1.12232
0.17463	0.84786	1.12868
0.17512	0.84966	1.13554
0.17561	0.85155	1.14216
0.17611	0.85353	1.14846
0.17662	0.85559	1.15476
0.17712	0.85774	1.16112
0.17763	0.85997	1.16755
0.17814	0.86228	1.17387
0.17865	0.86465	1.18014
0.17917	0.86708	1.18656
0.17969	0.86952	1.19291
0.18021	0.87199	1.19907
0.18073	0.87449	1.205
0.18126	0.87706	1.21088
0.18179	0.87969	1.21643
0.18233	0.88237	1.22161
0.18287	0.88512	1.22669
0.18341	0.88797	1.23201
0.18395	0.89094	1.23792
0.1845	0.89402	1.2442
0.18505	0.8972	1.25057
0.1856	0.90045	1.25677
0.18616	0.90374	1.2625
0.18672	0.90705	1.26788
0.18729	0.91045	1.27341
0.18785	0.91394	1.27929
0.18843	0.9175	1.28535
0.189	0.92111	1.29122
0.18958	0.92475	1.29654
0.19016	0.92845	1.30169
0.19074	0.93225	1.30693
0.19133	0.93614	1.31227
0.19193	0.94009	1.3177
0.19252	0.94411	1.32307
0.19312	0.94815	1.32826
0.19373	0.95224	1.33342
0.19433	0.95637	1.33861
0.19494	0.96053	1.34372
0.19556	0.96469	1.34858
0.19618	0.96886	1.35307
0.1968	0.97303	1.35722
0.19743	0.97727	1.36115
0.19806	0.98163	1.36507
0.19869	0.98618	1.36935
0.19933	0.99098	1.37427
0.19997	0.99599	1.37936
0.20062	1.00116	1.38449
0.20127	1.0065	1.38965
0.20193	1.012	1.39469
0.20259	1.0176	1.39932
0.20325	1.0233	1.40363
0.20392	1.0291	1.40767
0.20459	1.03499	1.4116
0.20527	1.04097	1.41549
0.20595	1.04695	1.41908
0.20664	1.05283	1.42212
0.20733	1.05859	1.42464
0.20803	1.06428	1.42689
0.20873	1.0699	1.42903
0.20943	1.07546	1.43104
0.21014	1.08089	1.4327
0.21086	1.08617	1.4339
0.21158	1.09133	1.43483
0.2123	1.09643	1.43587
0.21303	1.10147	1.43691
0.21377	1.10641	1.43789
0.21451	1.11125	1.43887
0.21525	1.11607	1.44022
0.216	1.1209	1.44201
0.21676	1.1256	1.44376
0.21752	1.13006	1.44504
0.21828	1.13418	1.44394
0.21905	1.13883	1.44463
0.21983	1.1429	1.44513
0.22061	1.14662	1.44547
0.2214	1.14986	1.4458
0.22219	1.15266	1.44621
0.22299	1.15536	1.4468
0.2238	1.15788	1.44769
0.22461	1.16033	1.44894
0.22543	1.16271	1.45047
0.22625	1.16524	1.45214
0.22708	1.16816	1.45397
0.22791	1.17126	1.45591
0.22875	1.17434	1.4579
0.2296	1.17742	1.45985
0.23045	1.18074	1.46179
0.23131	1.18417	1.46387
0.23218	1.18785	1.46607
0.23305	1.19176	1.46831
0.23393	1.19578	1.47052
0.23482	1.1999	1.4726
0.23571	1.204	1.47449
0.23661	1.20815	1.47622
0.23752	1.21237	1.47782
0.23843	1.21658	1.47928
0.23935	1.22054	1.48066
0.24028	1.22431	1.48211
0.24121	1.22793	1.48371
0.24216	1.23145	1.48539
0.24311	1.23498	1.48704
0.24406	1.23859	1.48866
0.24503	1.24228	1.49024
0.246	1.24625	1.49173
0.24698	1.25034	1.49319
0.24797	1.25438	1.49463
0.24896	1.25835	1.49604
0.24997	1.26231	1.4974
0.25098	1.26643	1.49857
0.252	1.27087	1.49941
0.25303	1.27569	1.49998
0.25407	1.28067	1.50054
0.25511	1.28574	1.50115
0.25617	1.29093	1.50165
0.25723	1.29644	1.5018
0.2583	1.30226	1.50165
0.25938	1.30841	1.50134
0.26047	1.31496	1.50088
0.26157	1.32193	1.5001
0.26268	1.32908	1.49896
0.2638	1.33627	1.4974
0.26492	1.34348	1.49531
0.26606	1.35067	1.49275
0.26721	1.3582	1.48969
0.26836	1.36586	1.4862
0.26953	1.37358	1.48216
0.27071	1.38178	1.47738
0.27189	1.39061	1.47184
0.27309	1.39969	1.46566
0.2743	1.4087	1.45885
0.27552	1.41759	1.45135
0.27675	1.4265	1.44289
0.27799	1.43524	1.4335
0.27924	1.44368	1.42325
0.28051	1.45173	1.41221
0.28178	1.45961	1.40022
0.28307	1.46728	1.38731
0.28437	1.47488	1.37375
0.28568	1.48247	1.35957
0.287	1.49018	1.34468
0.28833	1.49816	1.32906
0.28968	1.50666	1.31259
0.29104	1.51601	1.29497
0.29242	1.52653	1.27551
0.2938	1.53832	1.25324
0.2952	1.55111	1.22698
0.29661	1.56437	1.19532
0.29804	1.57719	1.15715
0.29948	1.58775	1.11184
0.30093	1.5938	1.0596
0.3024	1.59326	1.0015
0.30388	1.58458	0.93897
0.30538	1.56671	0.87381
0.30689	1.53913	0.80828
0.30842	1.50198	0.74421
0.30996	1.46784	0.70912
0.31152	1.41166	0.65236
0.31309	1.3468	0.60069
0.31468	1.27414	0.55534
0.31629	1.19576	0.51811
0.31791	1.11373	0.48838
0.31955	1.02803	0.46389
0.3212	0.94437	0.44085
0.32288	0.83809	0.43133
0.32457	0.71699	0.43249
0.32627	0.57701	0.455
0.328	0.42799	0.52007
0.32974	0.3067	0.63427
0.33151	0.23452	0.76225
0.33329	0.19697	0.87779
0.33509	0.17776	0.97626
0.33691	0.16659	1.0598
0.33875	0.15895	1.1327
0.34062	0.15324	1.19825
0.3425	0.14841	1.25777
0.3444	0.14365	1.31232
0.34632	0.13867	1.36351
0.34827	0.13326	1.41247
0.35024	0.12768	1.45942
0.35223	0.12217	1.50454
0.35424	0.11638	1.54808
0.35628	0.11007	1.59013
0.35834	0.10369	1.63073
0.36042	0.09929	1.67033
0.36253	0.09756	1.70912
0.36466	0.09738	1.74705
0.36682	0.09697	1.78406
0.369	0.09564	1.82004
0.37121	0.09446	1.85554
0.37345	0.09434	1.89019
0.37571	0.0945	1.92345
0.378	0.09359	1.95584
0.38032	0.09147	1.98831
0.38267	0.08929	2.02138
0.38504	0.08797	2.05466
0.38745	0.0879	2.08748
0.38989	0.08819	2.11978
0.39235	0.08793	2.1519
0.39485	0.08747	2.18401
0.39738	0.08565	2.21585
0.39995	0.08247	2.24743
0.40255	0.07869	2.27888
0.40518	0.0761	2.31061
0.40784	0.07447	2.34284
0.41054	0.07265	2.37571
0.41328	0.07014	2.40908
0.41605	0.06767	2.44197
0.41886	0.0656	2.47395
0.42171	0.06404	2.50539
0.4246	0.06346	2.53657
0.42753	0.0638	2.5672
0.4305	0.06462	2.59745
0.43351	0.06528	2.62764
0.43656	0.06643	2.65854
0.43966	0.06713	2.6905
0.4428	0.06571	2.72316
0.44599	0.06142	2.75694
0.44922	0.05622	2.79102
0.4525	0.05285	2.82366
0.45582	0.05277	2.85379
0.4592	0.05563	2.88299
0.46263	0.05811	2.91266
0.46611	0.05891	2.94417
0.46964	0.05807	2.97781
0.47322	0.05625	3.01263
0.47686	0.05564	3.04723
0.48056	0.0574	3.08062
0.48431	0.06044	3.1131
0.48813	0.0637	3.14533
0.492	0.06724	3.17703
0.49594	0.07175	3.20789

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