Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.18166
Extinction coefficient k: 0

Permittivity ε₁: 4.75965
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 23.876
Chromatic dispersion dn/dλ: -0.248158 µm⁻¹

Group index n_g: 2.32748
Group velocity dispersion: 497.188 fs²/mm

Dispersion parameter D: -2712.43 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

# Mg:LiTaO3 (Magnesium-doped lithium tantalate): Moutzouris et al. 2011: n(o) 0.450–1.551 µm; 8 mol.% Mg
mg_litao3 = ls.fetch_refractiveindex("other", "Mg-LiTaO3", "Moutzouris-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mg_litao3.range_nm)  # (450, 1551) nm
eps = mg_litao3.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_8e21e94200f5/lightsmith"
mg_litao3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mg_litao3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (mg-litao3/moutzouris-2011-o).

# ... load mg_litao3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mg_litao3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=450, 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

Polynomial (formula 3), λ in µm

n^{2} = 4.46828481 - 0.01791123 λ^{2.0} + 0.10437434 λ^{- 2.0} - 0.00284541849 λ^{- 4.0} + 0.000787317793 λ^{- 6.0}

Valid from 0.45 to 1.551 µm.

Coefficients as stored

C_i	Value
C1	4.46828481
C2	-0.01791123
C3	2.0
C4	0.10437434
C5	-2.0
C6	-0.00284541849
C7	-4.0
C8	0.000787317793
C9	-6.0

Comments and conditions

8 mol% Mg-doped congruent lithium tantalate (MCLT). Extraordinary ray(e). 22 °C (see the original publication for temperature-dependent dispersion formula).

Conditions

direction: e

References

K. Moutzouris, G. Hloupis, I. Stavrakas, D. Triantis, M.-H. Chou. Temperature-dependent visible to near-infrared optical properties of 8 mol% Mg-doped lithium tantalate. Opt. Mater. Express 1, 458-465 (2011)

doi:10.1364/ome.1.000458 Temperature-dependent visible to near-infrared optical properties of 8 mol% Mg-doped lithium tantalate, Optical Materials Express (2011)

Cite

Konstantinos Moutzouris, George Hloupis, Ilias Stavrakas, Dimos Triantis and Ming-Hsien Chou. Temperature-dependent visible to near-infrared optical properties of 8 mol% Mg-doped lithium tantalate. Optical Materials Express, 1, 458 (2011), doi:10.1364/ome.1.000458; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 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

Mg:LiTaO3 (Magnesium-doped lithium tantalate), Moutzouris et al. 2011: n(o) 0.450–1.551 µm; 8 mol.% Mg: n and k versus wavelength
λ (µm)	n
0.45	2.2373
0.451398	2.236383
0.4528	2.235475
0.454206	2.234576
0.455617	2.233685
0.457032	2.232803
0.458452	2.231929
0.459876	2.231063
0.461304	2.230206
0.462737	2.229356
0.464174	2.228515
0.465616	2.227681
0.467062	2.226855
0.468513	2.226037
0.469968	2.225226
0.471428	2.224423
0.472892	2.223627
0.474361	2.222838
0.475835	2.222056
0.477313	2.221282
0.478795	2.220514
0.480282	2.219753
0.481774	2.218999
0.483271	2.218252
0.484772	2.217511
0.486277	2.216777
0.487788	2.216049
0.489303	2.215328
0.490823	2.214613
0.492347	2.213904
0.493877	2.213201
0.495411	2.212504
0.496949	2.211813
0.498493	2.211128
0.500041	2.210449
0.501595	2.209776
0.503153	2.209108
0.504715	2.208446
0.506283	2.20779
0.507856	2.207139
0.509433	2.206493
0.511015	2.205853
0.512603	2.205218
0.514195	2.204588
0.515792	2.203963
0.517394	2.203344
0.519001	2.202729
0.520613	2.202119
0.52223	2.201515
0.523852	2.200915
0.52548	2.20032
0.527112	2.19973
0.528749	2.199144
0.530391	2.198563
0.532039	2.197987
0.533691	2.197415
0.535349	2.196847
0.537012	2.196284
0.53868	2.195726
0.540353	2.195171
0.542031	2.194621
0.543715	2.194075
0.545404	2.193534
0.547098	2.192996
0.548797	2.192463
0.550502	2.191934
0.552212	2.191408
0.553927	2.190887
0.555647	2.190369
0.557373	2.189856
0.559105	2.189346
0.560841	2.18884
0.562583	2.188337
0.564331	2.187839
0.566084	2.187344
0.567842	2.186852
0.569606	2.186365
0.571375	2.185881
0.57315	2.1854
0.57493	2.184923
0.576716	2.184449
0.578507	2.183978
0.580304	2.183511
0.582106	2.183048
0.583914	2.182587
0.585728	2.18213
0.587547	2.181676
0.589372	2.181226
0.591203	2.180778
0.593039	2.180334
0.594881	2.179892
0.596729	2.179454
0.598583	2.179019
0.600442	2.178586
0.602307	2.178157
0.604178	2.177731
0.606054	2.177308
0.607937	2.176887
0.609825	2.176469
0.611719	2.176055
0.613619	2.175643
0.615525	2.175233
0.617437	2.174827
0.619355	2.174423
0.621279	2.174022
0.623209	2.173624
0.625144	2.173228
0.627086	2.172835
0.629034	2.172444
0.630988	2.172057
0.632948	2.171671
0.634914	2.171288
0.636886	2.170908
0.638864	2.17053
0.640848	2.170155
0.642839	2.169782
0.644835	2.169411
0.646838	2.169043
0.648847	2.168677
0.650863	2.168313
0.652885	2.167952
0.654912	2.167593
0.656947	2.167237
0.658987	2.166882
0.661034	2.16653
0.663087	2.166181
0.665147	2.165833
0.667213	2.165487
0.669285	2.165144
0.671364	2.164803
0.673449	2.164464
0.675541	2.164127
0.67764	2.163792
0.679744	2.163459
0.681856	2.163128
0.683974	2.1628
0.686098	2.162473
0.688229	2.162148
0.690367	2.161825
0.692511	2.161505
0.694662	2.161186
0.69682	2.160869
0.698984	2.160554
0.701155	2.160241
0.703333	2.159929
0.705518	2.15962
0.707709	2.159313
0.709907	2.159007
0.712112	2.158703
0.714324	2.158401
0.716543	2.158101
0.718769	2.157802
0.721001	2.157505
0.723241	2.15721
0.725487	2.156917
0.727741	2.156625
0.730001	2.156336
0.732269	2.156047
0.734543	2.155761
0.736825	2.155476
0.739113	2.155193
0.741409	2.154911
0.743712	2.154631
0.746022	2.154353
0.748339	2.154076
0.750664	2.153801
0.752995	2.153527
0.755334	2.153255
0.75768	2.152984
0.760034	2.152715
0.762394	2.152448
0.764762	2.152182
0.767138	2.151917
0.769521	2.151654
0.771911	2.151392
0.774308	2.151132
0.776713	2.150874
0.779126	2.150616
0.781546	2.15036
0.783974	2.150106
0.786409	2.149853
0.788851	2.149601
0.791302	2.149351
0.793759	2.149102
0.796225	2.148854
0.798698	2.148608
0.801179	2.148363
0.803667	2.148119
0.806164	2.147877
0.808668	2.147636
0.811179	2.147396
0.813699	2.147158
0.816226	2.146921
0.818762	2.146685
0.821305	2.14645
0.823856	2.146217
0.826415	2.145984
0.828982	2.145753
0.831557	2.145524
0.83414	2.145295
0.83673	2.145068
0.839329	2.144841
0.841936	2.144616
0.844552	2.144392
0.847175	2.14417
0.849806	2.143948
0.852446	2.143727
0.855094	2.143508
0.85775	2.14329
0.860414	2.143073
0.863086	2.142857
0.865767	2.142642
0.868456	2.142428
0.871154	2.142215
0.87386	2.142003
0.876574	2.141792
0.879297	2.141583
0.882028	2.141374
0.884768	2.141166
0.887516	2.14096
0.890272	2.140754
0.893038	2.14055
0.895811	2.140346
0.898594	2.140143
0.901385	2.139942
0.904185	2.139741
0.906993	2.139541
0.909811	2.139343
0.912636	2.139145
0.915471	2.138948
0.918315	2.138752
0.921167	2.138557
0.924028	2.138363
0.926898	2.13817
0.929777	2.137977
0.932665	2.137786
0.935562	2.137596
0.938468	2.137406
0.941383	2.137217
0.944307	2.137029
0.94724	2.136842
0.950183	2.136656
0.953134	2.136471
0.956094	2.136286
0.959064	2.136102
0.962043	2.135919
0.965031	2.135737
0.968029	2.135556
0.971036	2.135376
0.974052	2.135196
0.977077	2.135017
0.980112	2.134839
0.983156	2.134661
0.98621	2.134485
0.989273	2.134309
0.992346	2.134134
0.995428	2.13396
0.99852	2.133786
1.00162	2.133613
1.00473	2.133441
1.00785	2.133269
1.01098	2.133099
1.01412	2.132929
1.01727	2.132759
1.02043	2.132591
1.0236	2.132423
1.02678	2.132255
1.02997	2.132089
1.03317	2.131923
1.03638	2.131758
1.0396	2.131593
1.04283	2.131429
1.04607	2.131266
1.04932	2.131103
1.05258	2.130941
1.05585	2.130779
1.05913	2.130619
1.06242	2.130458
1.06572	2.130299
1.06903	2.13014
1.07235	2.129981
1.07568	2.129823
1.07902	2.129666
1.08237	2.129509
1.08573	2.129353
1.0891	2.129198
1.09249	2.129043
1.09588	2.128888
1.09928	2.128734
1.1027	2.128581
1.10612	2.128428
1.10956	2.128276
1.11301	2.128124
1.11646	2.127973
1.11993	2.127822
1.12341	2.127672
1.1269	2.127522
1.1304	2.127373
1.13391	2.127224
1.13743	2.127076
1.14096	2.126928
1.14451	2.126781
1.14806	2.126634
1.15163	2.126487
1.15521	2.126341
1.15879	2.126196
1.16239	2.126051
1.166	2.125906
1.16963	2.125762
1.17326	2.125618
1.1769	2.125475
1.18056	2.125332
1.18423	2.12519
1.1879	2.125048
1.19159	2.124906
1.1953	2.124765
1.19901	2.124624
1.20273	2.124483
1.20647	2.124343
1.21022	2.124203
1.21397	2.124064
1.21774	2.123925
1.22153	2.123786
1.22532	2.123648
1.22913	2.12351
1.23295	2.123372
1.23677	2.123235
1.24062	2.123098
1.24447	2.122962
1.24834	2.122825
1.25221	2.122689
1.2561	2.122554
1.26	2.122418
1.26392	2.122283
1.26784	2.122149
1.27178	2.122014
1.27573	2.12188
1.27969	2.121746
1.28367	2.121613
1.28766	2.121479
1.29166	2.121346
1.29567	2.121213
1.29969	2.121081
1.30373	2.120949
1.30778	2.120817
1.31184	2.120685
1.31592	2.120553
1.32	2.120422
1.3241	2.120291
1.32822	2.12016
1.33234	2.12003
1.33648	2.119899
1.34063	2.119769
1.34479	2.119639
1.34897	2.119509
1.35316	2.11938
1.35736	2.11925
1.36158	2.119121
1.36581	2.118992
1.37005	2.118863
1.37431	2.118735
1.37858	2.118606
1.38286	2.118478
1.38715	2.11835
1.39146	2.118222
1.39578	2.118094
1.40012	2.117966
1.40447	2.117838
1.40883	2.117711
1.41321	2.117584
1.4176	2.117456
1.422	2.117329
1.42642	2.117202
1.43085	2.117075
1.43529	2.116949
1.43975	2.116822
1.44422	2.116695
1.44871	2.116569
1.45321	2.116443
1.45772	2.116316
1.46225	2.11619
1.46679	2.116064
1.47135	2.115938
1.47592	2.115812
1.4805	2.115686
1.4851	2.11556
1.48971	2.115434
1.49434	2.115308
1.49898	2.115182
1.50364	2.115057
1.50831	2.114931
1.51299	2.114805
1.51769	2.11468
1.52241	2.114554
1.52714	2.114428
1.53188	2.114303
1.53664	2.114177
1.54141	2.114051
1.5462	2.113926
1.551	2.1138

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