Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.49193
Extinction coefficient k: 0.00104528

Permittivity ε₁: 2.22585
Permittivity ε₂: 0.00311897

Absorption coefficient α: 223.543 cm⁻¹
Penetration depth δ = λ/(2πk): 89468.1 nm

Abbe number V_d: 42.737
Chromatic dispersion dn/dλ: -0.0590452 µm⁻¹

Group index n_g: 1.52662
Group velocity dispersion: 111.796 fs²/mm

Dispersion parameter D: -609.907 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

# Samia ricini (eri silkworm) silk: Perotto et al. 2017: Fibroin film; n 0.3–1.695 µm
samia_ricini = ls.fetch_refractiveindex("other", "Samia_ricini", "Perotto", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(samia_ricini.range_nm)  # (300, 1695) nm
eps = samia_ricini.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_d7bd4ace644c/lightsmith"
samia_ricini = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(samia_ricini.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (samia-ricini/perotto-2017).

# ... load samia_ricini as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=samia_ricini)],
    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.

Dispersion formula

Cauchy (formula 5), λ in µm

n = 1.475 + 0.0057 λ^{- 2.0} + 5 \times 10^{-5} λ^{- 4.0}

Valid from 0.3 to 1.695 µm.

Coefficients as stored

C_i	Value
C1	1.475
C2	0.0057
C3	-2.0
C4	5e-05
C5	-4.0

Comments and conditions

Samia ricini (eri silkworm) fibroin film

References

G. Perotto, Y. Zhang, D. Naskar, N. Patel, D. L. Kaplan, S. C. Kundu, F. G. Omenetto. The optical properties of regenerated silk fibroin films obtained from different sources. Appl. Phys. Lett. 111, 103702 (2017)

doi:10.1063/1.4998950 The optical properties of regenerated silk fibroin films obtained from different sources, Applied Physics Letters (2017)

Cite

Giovanni Perotto et al.. The optical properties of regenerated silk fibroin films obtained from different sources. Applied Physics Letters, 111, 103702 (2017), doi:10.1063/1.4998950; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 485 wavelengths, the same grid as the API and the library

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

Samia ricini (eri silkworm) silk, Perotto et al. 2017: Fibroin film; n 0.3–1.695 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.544506	0.02164
0.301305	1.543853	0.02115895
0.302615	1.543206	0.02067582
0.303932	1.542565	0.02019058
0.305253	1.541931	0.01970323
0.306581	1.541303	0.01921376
0.307915	1.540682	0.01872216
0.309254	1.540066	0.01822842
0.310599	1.539457	0.01773254
0.31195	1.538854	0.0172345
0.313307	1.538257	0.01673429
0.314669	1.537666	0.01623191
0.315	1.537524	0.01611
0.316038	1.537081	0.01584774
0.317413	1.536501	0.01550043
0.318793	1.535927	0.01515161
0.32018	1.535359	0.01480127
0.321572	1.534797	0.01444941
0.322971	1.53424	0.01409601
0.324376	1.533689	0.01374108
0.325787	1.533143	0.01338461
0.327203	1.532602	0.01302659
0.328627	1.532067	0.01266701
0.33	1.531558	0.01232
0.330056	1.531537	0.01231
0.331492	1.531012	0.01205352
0.332933	1.530493	0.01179591
0.334381	1.529978	0.01153719
0.335836	1.529469	0.01127735
0.337296	1.528965	0.01101637
0.338763	1.528465	0.01075426
0.340237	1.52797	0.01049101
0.341717	1.527481	0.01022661
0.343203	1.526996	0.009961063
0.344696	1.526515	0.009694361
0.345	1.526418	0.00964
0.346195	1.52604	0.009485451
0.347701	1.525569	0.009290708
0.349213	1.525103	0.009095117
0.350732	1.524641	0.008898676
0.352257	1.524184	0.008701381
0.353789	1.523731	0.008503227
0.355328	1.523282	0.008304212
0.356874	1.522838	0.008104331
0.358426	1.522398	0.00790358
0.359985	1.521963	0.007701957
0.36	1.521958	0.0077
0.361551	1.521531	0.007551143
0.363123	1.521104	0.007400179
0.364703	1.520681	0.007248559
0.366289	1.520262	0.00709628
0.367882	1.519847	0.006943338
0.369482	1.519436	0.006789731
0.371089	1.519029	0.006635456
0.372703	1.518626	0.00648051
0.374324	1.518227	0.00632489
0.375	1.518062	0.00626
0.375952	1.517831	0.006191445
0.377587	1.51744	0.006073712
0.37923	1.517052	0.005955468
0.380879	1.516668	0.005836709
0.382536	1.516287	0.005717433
0.384199	1.51591	0.005597639
0.385871	1.515537	0.005477324
0.387549	1.515167	0.005356485
0.389234	1.514801	0.005235121
0.39	1.514637	0.00518
0.390927	1.514439	0.005128067
0.392628	1.514079	0.00503285
0.394335	1.513724	0.004937219
0.396051	1.513371	0.004841171
0.397773	1.513022	0.004744706
0.399503	1.512677	0.004647822
0.401241	1.512334	0.004550516
0.402986	1.511995	0.004452786
0.404739	1.511659	0.004354632
0.405	1.511609	0.00434
0.406499	1.511326	0.00427404
0.408267	1.510997	0.004196246
0.410043	1.51067	0.004118115
0.411826	1.510347	0.004039643
0.413618	1.510026	0.00396083
0.415417	1.509709	0.003881674
0.417223	1.509394	0.003802174
0.419038	1.509083	0.003722328
0.42	1.50892	0.00368
0.420861	1.508775	0.003650167
0.422691	1.508469	0.003586709
0.42453	1.508166	0.003522976
0.426376	1.507867	0.003458966
0.42823	1.50757	0.003394677
0.430093	1.507275	0.003330108
0.431964	1.506984	0.003265259
0.433842	1.506695	0.003200127
0.435	1.506519	0.00316
0.435729	1.506409	0.003139576
0.437625	1.506126	0.003086511
0.439528	1.505845	0.003033215
0.44144	1.505567	0.002979688
0.44336	1.505292	0.002925928
0.445288	1.505019	0.002871934
0.447225	1.504748	0.002817705
0.44917	1.504481	0.00276324
0.45	1.504367	0.00274
0.451124	1.504215	0.002714531
0.453086	1.503952	0.002670056
0.455056	1.503692	0.002625388
0.457036	1.503434	0.002580525
0.459023	1.503179	0.002535468
0.46102	1.502925	0.002490214
0.463025	1.502675	0.002444763
0.465	1.502431	0.0024
0.465039	1.502426	0.002399271
0.467062	1.50218	0.002361515
0.469093	1.501936	0.002323595
0.471133	1.501694	0.00228551
0.473183	1.501455	0.002247259
0.475241	1.501218	0.002208841
0.477308	1.500983	0.002170257
0.479384	1.50075	0.002131505
0.48	1.500681	0.00212
0.481469	1.500519	0.002096501
0.483563	1.500291	0.002062995
0.485666	1.500064	0.002029343
0.487778	1.49984	0.001995545
0.4899	1.499618	0.001961601
0.492031	1.499398	0.001927508
0.494171	1.499179	0.001893267
0.495	1.499096	0.00188
0.49632	1.498963	0.001863278
0.498479	1.498749	0.001835935
0.500647	1.498537	0.001808472
0.502824	1.498327	0.00178089
0.505011	1.498118	0.001753188
0.507208	1.497912	0.001725366
0.509414	1.497708	0.001697422
0.51	1.497654	0.00169
0.51163	1.497505	0.00167153
0.513855	1.497304	0.00164631
0.51609	1.497105	0.001620981
0.518335	1.496908	0.001595541
0.520589	1.496713	0.00156999
0.522853	1.496519	0.001544329
0.525	1.496338	0.00152
0.525127	1.496328	0.00151881
0.527411	1.496138	0.001497493
0.529705	1.49595	0.001476083
0.532009	1.495763	0.00145458
0.534323	1.495578	0.001432983
0.536647	1.495395	0.001411292
0.538981	1.495214	0.001389507
0.54	1.495135	0.00138
0.541326	1.495034	0.001368511
0.54368	1.494856	0.001348106
0.546045	1.494679	0.001327612
0.54842	1.494504	0.001307029
0.550805	1.494331	0.001286356
0.553201	1.494159	0.001265594
0.555	1.494032	0.00125
0.555607	1.493989	0.001245955
0.558023	1.493821	0.001229844
0.56045	1.493654	0.001213664
0.562888	1.493488	0.001197413
0.565336	1.493324	0.001181091
0.567795	1.493161	0.001164699
0.57	1.493018	0.00115
0.570265	1.493	0.001148411
0.572745	1.492841	0.001133529
0.575236	1.492683	0.001118583
0.577738	1.492526	0.001103571
0.580251	1.492371	0.001088494
0.582775	1.492217	0.001073351
0.585	1.492083	0.00106
0.585309	1.492064	0.001058248
0.587855	1.491913	0.001043837
0.590412	1.491763	0.001029364
0.59298	1.491615	0.001014827
0.595559	1.491468	0.001000227
0.598149	1.491322	0.0009855643
0.6	1.491219	0.000975089
0.600751	1.491178	0.0009715334
0.603364	1.491035	0.0009591642
0.605988	1.490893	0.0009467412
0.608624	1.490752	0.0009342642
0.611271	1.490613	0.0009217329
0.61393	1.490475	0.0009091471
0.615	1.49042	0.000904081
0.6166	1.490338	0.0008973806
0.619282	1.490203	0.00088615
0.621975	1.490068	0.0008748707
0.624681	1.489935	0.0008635422
0.627398	1.489803	0.0008521645
0.63	1.489679	0.000841267
0.630126	1.489673	0.0008407963
0.632867	1.489543	0.0008305967
0.63562	1.489415	0.0008203528
0.638384	1.489288	0.0008100644
0.641161	1.489162	0.0007997311
0.64395	1.489037	0.000789353
0.645	1.48899	0.000785444
0.64675	1.488913	0.0007796295
0.649563	1.48879	0.0007702855
0.652389	1.488669	0.0007609009
0.655226	1.488548	0.0007514754
0.658076	1.488429	0.000742009
0.66	1.488349	0.000735618
0.660938	1.48831	0.0007328247
0.663813	1.488193	0.0007242665
0.6667	1.488077	0.0007156712
0.6696	1.487962	0.0007070384
0.672512	1.487847	0.0006983681
0.675	1.487751	0.000690962
0.675437	1.487734	0.0006897906
0.678375	1.487622	0.0006819221
0.681326	1.487511	0.0006740194
0.684289	1.487401	0.0006660823
0.687265	1.487292	0.0006581107
0.69	1.487193	0.000650786
0.690254	1.487184	0.0006501706
0.693257	1.487077	0.0006429103
0.696272	1.48697	0.0006356183
0.6993	1.486865	0.0006282947
0.702342	1.486761	0.0006209392
0.705	1.486671	0.000614511
0.705397	1.486657	0.0006136419
0.708465	1.486555	0.0006069198
0.711546	1.486453	0.0006001684
0.714641	1.486353	0.0005933877
0.717749	1.486253	0.0005865775
0.72	1.486181	0.000581646
0.720871	1.486154	0.0005799115
0.724006	1.486056	0.0005736677
0.727155	1.485959	0.0005673968
0.730318	1.485863	0.0005610985
0.733495	1.485767	0.0005547729
0.735	1.485722	0.000551775
0.736685	1.485673	0.0005487164
0.739889	1.485579	0.0005428995
0.743107	1.485486	0.0005370574
0.746339	1.485394	0.0005311899
0.749585	1.485303	0.0005252968
0.75	1.485291	0.000524544
0.752846	1.485213	0.0005198209
0.75612	1.485123	0.000514386
0.759409	1.485034	0.0005089275
0.762712	1.484946	0.0005034452
0.765	1.484886	0.000499647
0.766029	1.484859	0.0004980812
0.769361	1.484772	0.0004930113
0.772707	1.484687	0.0004879194
0.776068	1.484602	0.0004828053
0.779443	1.484518	0.000477669
0.78	1.484504	0.000476822
0.782833	1.484434	0.0004728593
0.786238	1.484352	0.0004680975
0.789658	1.48427	0.0004633149
0.793093	1.484188	0.0004585116
0.795	1.484144	0.000455844
0.796542	1.484108	0.000453857
0.800007	1.484028	0.0004493929
0.803486	1.483949	0.0004449093
0.806981	1.483871	0.0004404063
0.81	1.483804	0.000436516
0.810491	1.483793	0.000435932
0.814016	1.483716	0.0004317371
0.817556	1.48364	0.0004275239
0.821112	1.483564	0.0004232924
0.824684	1.483489	0.0004190424
0.825	1.483483	0.000418666
0.828271	1.483415	0.000415064
0.831873	1.483341	0.0004110965
0.835491	1.483268	0.0004071117
0.839125	1.483196	0.0004031095
0.84	1.483179	0.000402146
0.842775	1.483124	0.0003993114
0.84644	1.483053	0.0003955669
0.850122	1.482983	0.0003918061
0.853819	1.482913	0.0003880289
0.855	1.482891	0.000386823
0.857533	1.482844	0.0003844182
0.861263	1.482775	0.0003808775
0.865009	1.482707	0.0003773213
0.868771	1.48264	0.0003737496
0.87	1.482618	0.000372583
0.87255	1.482573	0.0003703291
0.876345	1.482507	0.0003669745
0.880156	1.482441	0.0003636054
0.883985	1.482376	0.0003602215
0.885	1.482359	0.000359324
0.887829	1.482312	0.0003569908
0.891691	1.482248	0.0003538066
0.895569	1.482185	0.0003506085
0.899465	1.482122	0.0003473965
0.9	1.482113	0.000346955
0.903377	1.48206	0.0003443531
0.907306	1.481998	0.0003413256
0.911252	1.481937	0.0003382849
0.915	1.48188	0.000335397
0.915216	1.481876	0.0003352415
0.919196	1.481816	0.0003323707
0.923194	1.481757	0.0003294874
0.92721	1.481698	0.0003265915
0.93	1.481657	0.000324579
0.931242	1.481639	0.000323739
0.935293	1.481581	0.0003210004
0.939361	1.481524	0.0003182499
0.943446	1.481467	0.0003154875
0.945	1.481445	0.000314437
0.94755	1.481411	0.0003128182
0.951671	1.481355	0.0003102017
0.95581	1.481299	0.0003075739
0.959968	1.481244	0.0003049346
0.96	1.481244	0.000304914
0.964143	1.48119	0.0003024407
0.968336	1.481136	0.0002999372
0.972548	1.481082	0.0002974228
0.975	1.481051	0.000295959
0.976778	1.481029	0.0002949595
0.981026	1.480977	0.0002925713
0.985293	1.480924	0.0002901728
0.989579	1.480873	0.0002877638
0.99	1.480868	0.000287527
0.993883	1.480822	0.0002854688
0.998206	1.480771	0.0002831774
1.00255	1.480721	0.0002808761
1.005	1.480692	0.000279576
1.00691	1.480671	0.0002786213
1.01129	1.480621	0.0002764298
1.01569	1.480572	0.0002742288
1.02	1.480525	0.00027207
1.0201	1.480524	0.0002720211
1.02454	1.480476	0.0002699221
1.029	1.480428	0.0002678141
1.03347	1.480381	0.0002656968
1.035	1.480365	0.000264974
1.03797	1.480334	0.0002636456
1.04248	1.480287	0.0002616243
1.04702	1.480241	0.0002595941
1.05	1.480211	0.000258258
1.05157	1.480196	0.000257592
1.05614	1.48015	0.0002556516
1.06074	1.480105	0.0002537027
1.065	1.480064	0.000251894
1.06535	1.480061	0.0002517529
1.06998	1.480017	0.000249888
1.07464	1.479973	0.000248015
1.07931	1.47993	0.0002461339
1.08	1.479924	0.000245857
1.08401	1.479887	0.000244326
1.08872	1.479844	0.0002425243
1.09346	1.479802	0.0002407148
1.095	1.479789	0.000240125
1.09821	1.47976	0.000238958
1.10299	1.479719	0.0002372228
1.10779	1.479678	0.0002354801
1.11	1.479659	0.000234676
1.1126	1.479637	0.0002337756
1.11744	1.479597	0.0002321029
1.1223	1.479557	0.0002304229
1.125	1.479535	0.000229491
1.12719	1.479517	0.0002287714
1.13209	1.479478	0.0002271571
1.13701	1.479439	0.0002255358
1.14	1.479416	0.000224552
1.14196	1.4794	0.0002239377
1.14692	1.479362	0.0002223787
1.15191	1.479324	0.000220813
1.155	1.479301	0.000219844
1.15692	1.479287	0.0002192682
1.16195	1.479249	0.0002177613
1.16701	1.479212	0.0002162478
1.17	1.479191	0.000215352
1.17208	1.479176	0.0002147557
1.17718	1.479139	0.0002132974
1.1823	1.479103	0.0002118327
1.185	1.479085	0.000211061
1.18744	1.479068	0.0002103928
1.19261	1.479032	0.0002089811
1.1978	1.478997	0.0002075633
1.2	1.478982	0.000206961
1.20301	1.478962	0.0002061748
1.20824	1.478928	0.0002048063
1.21349	1.478894	0.0002034319
1.215	1.478884	0.000203038
1.21877	1.47886	0.0002020938
1.22407	1.478826	0.0002007668
1.2294	1.478793	0.000199434
1.23	1.478789	0.000199283
1.23474	1.47876	0.0001981451
1.24011	1.478728	0.0001968569
1.245	1.478698	0.000195685
1.24551	1.478695	0.0001955681
1.25093	1.478663	0.0001943222
1.25637	1.478631	0.0001930708
1.26	1.47861	0.000192235
1.26183	1.4786	0.0001918311
1.26732	1.478568	0.00019062
1.27283	1.478537	0.0001894036
1.275	1.478525	0.000188925
1.27837	1.478507	0.0001882119
1.28393	1.478476	0.0001870342
1.28951	1.478446	0.0001858515
1.29	1.478443	0.000185748
1.29512	1.478416	0.0001847059
1.30075	1.478386	0.0001835594
1.305	1.478364	0.000182695
1.30641	1.478357	0.0001824189
1.31209	1.478328	0.0001813067
1.3178	1.478299	0.0001801897
1.32	1.478288	0.000179759
1.32353	1.47827	0.0001790944
1.32929	1.478242	0.000178011
1.335	1.478214	0.000176936
1.33507	1.478214	0.0001769249
1.34088	1.478186	0.0001759955
1.34671	1.478158	0.000175062
1.35257	1.478131	0.0001741245
1.35845	1.478103	0.0001731829
1.36436	1.478077	0.0001722372
1.37029	1.47805	0.0001712873
1.37625	1.478023	0.0001703334
1.38224	1.477997	0.0001693753
1.38825	1.477971	0.0001684131
1.39429	1.477945	0.0001674466
1.40035	1.47792	0.000166476
1.40644	1.477894	0.0001655011
1.41256	1.477869	0.000164522
1.4187	1.477844	0.0001635386
1.42487	1.47782	0.000162551
1.43107	1.477795	0.000161559
1.4373	1.477771	0.0001605628
1.44355	1.477747	0.0001595622
1.44983	1.477723	0.0001585572
1.455	1.477704	0.000157729
1.45613	1.477699	0.0001575748
1.46246	1.477676	0.0001567118
1.46883	1.477653	0.000155845
1.47	1.477648	0.000155685
1.47521	1.47763	0.0001549978
1.48163	1.477607	0.0001541521
1.485	1.477595	0.000153708
1.48807	1.477584	0.0001533159
1.49455	1.477562	0.0001524905
1.5	1.477543	0.000151795
1.50105	1.47754	0.0001516656
1.50758	1.477518	0.0001508591
1.51413	1.477496	0.0001500491
1.515	1.477493	0.000149942
1.52072	1.477474	0.000149258
1.52733	1.477453	0.000148467
1.53	1.477444	0.000148148
1.53398	1.477431	0.0001476873
1.54065	1.47741	0.0001469143
1.545	1.477397	0.00014641
1.54735	1.477389	0.0001461462
1.55408	1.477369	0.0001453901
1.56	1.477351	0.000144725
1.56084	1.477348	0.0001446337
1.56763	1.477328	0.0001438942
1.57445	1.477308	0.0001431514
1.575	1.477306	0.000143091
1.58129	1.477288	0.000142426
1.58817	1.477268	0.0001416993
1.59	1.477262	0.000141506
1.59508	1.477248	0.000140985
1.60202	1.477229	0.0001402732
1.605	1.47722	0.000139967
1.60898	1.477209	0.0001395702
1.61598	1.47719	0.0001388732
1.62	1.477179	0.000138473
1.62301	1.477171	0.0001381818
1.63007	1.477152	0.0001374989
1.635	1.477139	0.000137022
1.63716	1.477134	0.000136819
1.64428	1.477115	0.0001361496
1.65	1.4771	0.000135612
1.65143	1.477097	0.0001354812
1.65861	1.477079	0.0001348252
1.665	1.477063	0.000134242
1.66583	1.477061	0.0001341684
1.67307	1.477043	0.000133525
1.68	1.477026	0.00013291
1.68035	1.477025	0.0001328797
1.68766	1.477007	0.0001322482
1.695	1.47699	0.000131614

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