Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.90155
Extinction coefficient k: 0.00224394

Permittivity ε₁: 3.6159
Permittivity ε₂: 0.00853395

Absorption coefficient α: 479.888 cm⁻¹
Penetration depth δ = λ/(2πk): 41676.4 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.608754 µm⁻¹

Group index n_g: 2.25926
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

# In2O3-SnO2 (Indium tin oxide, ITO): Moerland and Hoogenboom 2016: n,k 0.4–1.0 µm
in2o3_sno2 = ls.fetch_refractiveindex("other", "In2O3-SnO2", "Moerland", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(in2o3_sno2.range_nm)  # (401.048, 999.961) nm
eps = in2o3_sno2.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_47d183d6f24c/lightsmith"
in2o3_sno2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(in2o3_sno2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (in2o3-sno2/moerland-hoogenboom-2016).

# ... load in2o3_sno2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=in2o3_sno2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=402, 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

17 nm ITO film on D263M glass substrate. Purchased from Optics Balzers. Surface roughness (1 sigma) = 0.4 nm. Variable angle spectroscopic ellipsometry data + normal-incidence transmittance data fitted over the 400 to 900 nm range.

Conditions

film thickness: 17e-9
substrate: glass

References

R. J. Moerland and J. P. Hoogenboom. Subnanometer-accuracy optical distance ruler based on fluorescence quenching by transparent conductors. Optica 3, 112-117 (2016) (See Supplementary materials. Numerical data kindly provided by Robert Moerland)

doi:10.1364/optica.3.000112 Subnanometer-accuracy optical distance ruler based on fluorescence quenching by transparent conductors, Optica (2016)

Cite

Robert J. Moerland and Jacob P. Hoogenboom. Subnanometer-accuracy optical distance ruler based on fluorescence quenching by transparent conductors. Optica, 3, 112 (2016), doi:10.1364/optica.3.000112; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

381 rows as published

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

In2O3-SnO2 (Indium tin oxide, ITO), Moerland and Hoogenboom 2016: n,k 0.4–1.0 µm: n and k versus wavelength
λ (µm)	n	k
0.401047791	2.06348	0.01245
0.402637024	2.06099	0.011971
0.404226227	2.05855	0.011515
0.40581543	2.056157	0.011082
0.407404633	2.053809	0.010669
0.408993835	2.051504	0.010277
0.410583008	2.04924	0.009903
0.41217218	2.047016	0.009547
0.413761383	2.04483	0.009208
0.415350525	2.04268	0.008885
0.416939636	2.040565	0.008577
0.418528809	2.038484	0.008284
0.42011792	2.036436	0.008004
0.421707092	2.03442	0.007737
0.423296143	2.032434	0.007482
0.424885254	2.030478	0.007239
0.426474365	2.028551	0.007007
0.428063416	2.026651	0.006786
0.429652496	2.024778	0.006574
0.431241516	2.022931	0.006372
0.432830566	2.02111	0.006179
0.434419586	2.019313	0.005995
0.436008545	2.01754	0.005819
0.437597565	2.015789	0.005651
0.439186523	2.014062	0.00549
0.440775482	2.012356	0.005336
0.44236441	2.010671	0.005188
0.443953308	2.009007	0.005048
0.445542236	2.007362	0.004913
0.447131104	2.005738	0.004784
0.448719971	2.004132	0.004661
0.450308777	2.002544	0.004543
0.451897614	2.000974	0.00443
0.45348642	1.999421	0.004322
0.455075195	1.997886	0.004218
0.456663971	1.996366	0.004119
0.458252686	1.994863	0.004024
0.4598414	1.993375	0.003934
0.461430084	1.991902	0.003847
0.463018738	1.990445	0.003764
0.464607361	1.989001	0.003684
0.466195984	1.987571	0.003608
0.467784576	1.986155	0.003535
0.469373138	1.984752	0.003465
0.47096167	1.983362	0.003398
0.472550201	1.981985	0.003334
0.474138672	1.98062	0.003272
0.475727112	1.979266	0.003214
0.477315521	1.977924	0.003157
0.478903961	1.976594	0.003104
0.480492279	1.975275	0.003052
0.482080627	1.973966	0.003003
0.483668945	1.972668	0.002956
0.485257233	1.97138	0.002911
0.486845459	1.970102	0.002868
0.488433655	1.968834	0.002827
0.49002182	1.967575	0.002787
0.491609955	1.966325	0.00275
0.49319809	1.965084	0.002714
0.494786194	1.963853	0.002679
0.496374207	1.962629	0.002647
0.497962219	1.961414	0.002616
0.499550201	1.960207	0.002586
0.501138123	1.959008	0.002557
0.502726013	1.957817	0.002531
0.504313873	1.956633	0.002505
0.505901703	1.955457	0.00248
0.507489502	1.954288	0.002457
0.50907724	1.953126	0.002435
0.510664948	1.951971	0.002414
0.512252563	1.950822	0.002394
0.51384021	1.94968	0.002376
0.515427856	1.948544	0.002358
0.517015381	1.947415	0.002341
0.518602905	1.946291	0.002325
0.520190308	1.945173	0.00231
0.52177771	1.944062	0.002296
0.523365112	1.942955	0.002283
0.524952454	1.941854	0.002271
0.526539734	1.940759	0.002259
0.528127014	1.939669	0.002249
0.529714172	1.938583	0.002239
0.531301331	1.937503	0.002229
0.532888428	1.936428	0.002221
0.534475464	1.935357	0.002213
0.5360625	1.934291	0.002206
0.537649475	1.933229	0.002199
0.539236389	1.932172	0.002193
0.540823242	1.931119	0.002188
0.542410034	1.93007	0.002184
0.543996826	1.929026	0.002179
0.545583557	1.927985	0.002176
0.547170227	1.926948	0.002173
0.548756775	1.925915	0.00217
0.550343384	1.924885	0.002168
0.551929871	1.923859	0.002167
0.553516296	1.922837	0.002166
0.555102722	1.921818	0.002166
0.556689087	1.920802	0.002166
0.558275391	1.91979	0.002166
0.559861633	1.91878	0.002167
0.561447815	1.917774	0.002168
0.563033936	1.916771	0.00217
0.564619995	1.91577	0.002172
0.566205994	1.914773	0.002175
0.567791931	1.913778	0.002178
0.569377808	1.912786	0.002181
0.570963684	1.911796	0.002185
0.572549438	1.910809	0.002189
0.574135193	1.909825	0.002193
0.575720825	1.908843	0.002198
0.577306458	1.907863	0.002203
0.578891968	1.906885	0.002208
0.580477417	1.90591	0.002214
0.582062866	1.904937	0.00222
0.583648254	1.903966	0.002227
0.585233521	1.902997	0.002233
0.586818726	1.902029	0.00224
0.588403931	1.901064	0.002248
0.589989014	1.900101	0.002255
0.591574036	1.899139	0.002263
0.593158997	1.89818	0.002271
0.594743896	1.897221	0.00228
0.596328735	1.896265	0.002288
0.597913452	1.89531	0.002297
0.599498169	1.894357	0.002306
0.601082825	1.893405	0.002316
0.602667358	1.892454	0.002326
0.604251831	1.891505	0.002336
0.605836304	1.890557	0.002346
0.607420654	1.889611	0.002356
0.609004944	1.888666	0.002367
0.610589111	1.887722	0.002378
0.612173218	1.886779	0.002389
0.613757324	1.885837	0.0024
0.615341309	1.884897	0.002412
0.616925232	1.883957	0.002424
0.618509094	1.883018	0.002436
0.620092834	1.882081	0.002448
0.621676575	1.881144	0.002461
0.623260132	1.880208	0.002473
0.624843689	1.879273	0.002486
0.626427124	1.878339	0.002499
0.628010559	1.877406	0.002512
0.629593872	1.876473	0.002526
0.631177124	1.875541	0.00254
0.632760254	1.874609	0.002553
0.634343384	1.873679	0.002568
0.635926331	1.872749	0.002582
0.637509277	1.871819	0.002596
0.639092102	1.87089	0.002611
0.640674866	1.869961	0.002626
0.642257507	1.869033	0.002641
0.643840149	1.868105	0.002656
0.645422668	1.867178	0.002671
0.647005066	1.866251	0.002687
0.648587402	1.865324	0.002702
0.650169678	1.864398	0.002718
0.651751831	1.863472	0.002734
0.653333923	1.862546	0.002751
0.654915894	1.861621	0.002767
0.656497864	1.860695	0.002784
0.658079712	1.85977	0.0028
0.659661438	1.858845	0.002817
0.661243042	1.85792	0.002834
0.662824646	1.856995	0.002852
0.664406128	1.856071	0.002869
0.665987549	1.855146	0.002887
0.667568848	1.854221	0.002904
0.669150024	1.853296	0.002922
0.67073114	1.852372	0.00294
0.672312195	1.851447	0.002959
0.673893127	1.850522	0.002977
0.675473999	1.849597	0.002996
0.677054749	1.848671	0.003014
0.678635376	1.847746	0.003033
0.680215942	1.846821	0.003052
0.681796448	1.845895	0.003071
0.683376831	1.844969	0.003091
0.684957092	1.844043	0.00311
0.686537231	1.843116	0.00313
0.688117371	1.84219	0.00315
0.689697388	1.841263	0.003169
0.691277222	1.840335	0.00319
0.692857056	1.839408	0.00321
0.694436768	1.83848	0.00323
0.696016357	1.837551	0.003251
0.697595825	1.836622	0.003272
0.699175232	1.835693	0.003292
0.700754578	1.834763	0.003313
0.702333801	1.833833	0.003335
0.703912903	1.832903	0.003356
0.705491821	1.831972	0.003377
0.70707074	1.83104	0.003399
0.708649536	1.830108	0.003421
0.71022821	1.829175	0.003443
0.711806824	1.828242	0.003465
0.713385315	1.827308	0.003487
0.714963684	1.826374	0.003509
0.716541931	1.825439	0.003532
0.718120117	1.824503	0.003554
0.719698181	1.823567	0.003577
0.721276123	1.82263	0.0036
0.722853943	1.821692	0.003623
0.724431702	1.820754	0.003647
0.726009338	1.819815	0.00367
0.727586853	1.818875	0.003693
0.729164246	1.817935	0.003717
0.730741577	1.816993	0.003741
0.732318726	1.816051	0.003765
0.733895874	1.815108	0.003789
0.735472778	1.814165	0.003813
0.737049683	1.813221	0.003838
0.738626404	1.812275	0.003862
0.740203003	1.811329	0.003887
0.741779541	1.810382	0.003912
0.743355957	1.809435	0.003937
0.744932251	1.808486	0.003962
0.746508423	1.807536	0.003988
0.748084412	1.806586	0.004013
0.7496604	1.805634	0.004039
0.751236206	1.804682	0.004064
0.75281189	1.803729	0.00409
0.754387512	1.802775	0.004116
0.755963013	1.80182	0.004143
0.75753833	1.800864	0.004169
0.759113586	1.799906	0.004195
0.76068866	1.798948	0.004222
0.762263672	1.797989	0.004249
0.763838501	1.797029	0.004276
0.765413269	1.796068	0.004303
0.766987915	1.795106	0.00433
0.768562378	1.794142	0.004358
0.770136841	1.793178	0.004385
0.77171106	1.792212	0.004413
0.773285217	1.791246	0.004441
0.774859253	1.790278	0.004469
0.776433105	1.789309	0.004497
0.778006836	1.788339	0.004525
0.779580444	1.787368	0.004554
0.781153992	1.786396	0.004582
0.782727417	1.785423	0.004611
0.784300659	1.784448	0.00464
0.785873779	1.783472	0.004669
0.787446777	1.782495	0.004698
0.789019653	1.781517	0.004728
0.790592407	1.780538	0.004757
0.792164978	1.779557	0.004787
0.793737427	1.778576	0.004817
0.795309814	1.777593	0.004847
0.796882019	1.776608	0.004877
0.798454163	1.775623	0.004907
0.800026062	1.774636	0.004938
0.8015979	1.773648	0.004968
0.803169556	1.772659	0.004999
0.80474115	1.771668	0.00503
0.806312561	1.770676	0.005061
0.80788385	1.769683	0.005092
0.809454956	1.768688	0.005124
0.811026001	1.767692	0.005155
0.812596863	1.766695	0.005187
0.814167603	1.765696	0.005219
0.81573822	1.764696	0.005251
0.817308716	1.763695	0.005283
0.818879028	1.762692	0.005316
0.820449219	1.761688	0.005348
0.822019226	1.760682	0.005381
0.823589172	1.759675	0.005414
0.825158997	1.758667	0.005447
0.826728516	1.757657	0.00548
0.828298035	1.756645	0.005513
0.829867371	1.755633	0.005547
0.831436646	1.754619	0.00558
0.833005676	1.753603	0.005614
0.834574524	1.752586	0.005648
0.836143372	1.751567	0.005682
0.837711914	1.750547	0.005717
0.839280457	1.749526	0.005751
0.840848755	1.748503	0.005786
0.842416992	1.747478	0.005821
0.843984985	1.746452	0.005856
0.845552917	1.745425	0.005891
0.847120605	1.744396	0.005926
0.848688171	1.743365	0.005962
0.850255676	1.742333	0.005997
0.851822937	1.741299	0.006033
0.853390137	1.740264	0.006069
0.854957153	1.739227	0.006105
0.856524048	1.738189	0.006142
0.858090698	1.737149	0.006178
0.859657227	1.736107	0.006215
0.861223633	1.735064	0.006252
0.862789856	1.734019	0.006289
0.864355957	1.732973	0.006326
0.865921875	1.731925	0.006363
0.867487671	1.730875	0.006401
0.869053345	1.729824	0.006439
0.870618774	1.728771	0.006477
0.872184082	1.727717	0.006515
0.873749207	1.72666	0.006553
0.87531427	1.725603	0.006591
0.876879089	1.724543	0.00663
0.878443726	1.723482	0.006669
0.880008301	1.722419	0.006708
0.881572632	1.721354	0.006747
0.883136841	1.720288	0.006786
0.884700867	1.71922	0.006826
0.886264771	1.71815	0.006865
0.887828491	1.717079	0.006905
0.88939209	1.716006	0.006945
0.890955444	1.714931	0.006986
0.892518738	1.713854	0.007026
0.894081848	1.712776	0.007067
0.895644714	1.711696	0.007107
0.89720752	1.710614	0.007148
0.89877002	1.709531	0.007189
0.90033252	1.708445	0.007231
0.901894714	1.707358	0.007272
0.903456848	1.706269	0.007314
0.905018738	1.705178	0.007356
0.906580444	1.704086	0.007398
0.90814209	1.702992	0.00744
0.909703491	1.701895	0.007483
0.911264771	1.700798	0.007526
0.912825867	1.699698	0.007568
0.914386841	1.698596	0.007611
0.915947571	1.697493	0.007655
0.917508118	1.696387	0.007698
0.919068481	1.69528	0.007742
0.920628723	1.694171	0.007786
0.922188782	1.693061	0.00783
0.923748657	1.691948	0.007874
0.925308411	1.690833	0.007918
0.926867859	1.689717	0.007963
0.928427246	1.688599	0.008008
0.92998645	1.687478	0.008053
0.931545532	1.686356	0.008098
0.933104309	1.685232	0.008143
0.934662964	1.684106	0.008189
0.936221497	1.682978	0.008235
0.937779785	1.681849	0.008281
0.939337891	1.680717	0.008327
0.940895874	1.679583	0.008373
0.942453613	1.678448	0.00842
0.94401123	1.67731	0.008467
0.945568665	1.67617	0.008514
0.947125854	1.675029	0.008561
0.948682922	1.673886	0.008609
0.950239868	1.67274	0.008656
0.951796509	1.671593	0.008704
0.953353027	1.670444	0.008752
0.954909363	1.669292	0.008801
0.956465515	1.668139	0.008849
0.958021484	1.666983	0.008898
0.959577271	1.665826	0.008947
0.961132813	1.664667	0.008996
0.962688171	1.663505	0.009045
0.964243469	1.662342	0.009095
0.965798462	1.661177	0.009145
0.967353333	1.660009	0.009195
0.96890802	1.65884	0.009245
0.970462402	1.657668	0.009295
0.972016724	1.656494	0.009346
0.973570801	1.655319	0.009397
0.975124695	1.654141	0.009448
0.976678406	1.652961	0.009499
0.978231934	1.651779	0.009551
0.979785278	1.650595	0.009602
0.981338501	1.649409	0.009654
0.982891418	1.648221	0.009707
0.984444153	1.647031	0.009759
0.985996704	1.645838	0.009812
0.987549011	1.644644	0.009865
0.989101257	1.643447	0.009918
0.990653198	1.642248	0.009971
0.992204956	1.641047	0.010025
0.993756653	1.639844	0.010078
0.995307983	1.638639	0.010132
0.996859192	1.637432	0.010187
0.998410156	1.636222	0.010241
0.99996106	1.63501	0.010296

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