Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.73775
Extinction coefficient k: 0

Permittivity ε₁: 3.01979
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.23971 µm⁻¹

Group index n_g: 1.87861
Group velocity dispersion: 528.373 fs²/mm

Dispersion parameter D: -2882.55 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

# E7: Tkachenko et al. 2006: n(e) 0.532–1.7 µm
e7 = ls.fetch_refractiveindex("other", "E7", "Tkachenko-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(e7.range_nm)  # (532, 1700) nm
eps = e7.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_1b056e538e83/lightsmith"
e7 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(e7.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (e7/tkachenko-2006-e).

# ... load e7 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=e7)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=532, 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 = 1.67798 + 0.01696 λ^{- 2.0} + 0.00127 λ^{- 4.0}

Valid from 0.532 to 1.7 µm.

Coefficients as stored

C_i	Value
C1	1.67798
C2	0.01696
C3	-2.0
C4	0.00127
C5	-4.0

Comments and conditions

Extraordinary ray (e).

Conditions

direction: e

References

V. Tkachenko, G. Abbate, A. Marino, F. Vita, M. Giocondo, A. Mazzulla, F. Ciuchi, L. De Stefano. Nematic liquid crystal optical dispersion in the visible-near infrared range. Mol. Cryst. Liq. Cryst. 454, 263/[665]-271/[673], 2006

doi:10.1080/15421400600655816 Nematic Liquid Crystal Optical Dispersion in the Visible-Near Infrared Range, Molecular Crystals and Liquid Crystals (2006)

Cite

Volodymyr Tkachenko et al.. Nematic Liquid Crystal Optical Dispersion in the Visible-Near Infrared Range. Molecular Crystals and Liquid Crystals, 454, 263/[665]-271/[673] (2006), doi:10.1080/15421400600655816; 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

E7, Tkachenko et al. 2006: n(e) 0.532–1.7 µm: n and k versus wavelength
λ (µm)	n
0.532	1.753759
0.533551	1.753227
0.535107	1.7527
0.536667	1.752177
0.538232	1.751658
0.539802	1.751142
0.541376	1.750631
0.542954	1.750124
0.544537	1.749621
0.546125	1.749121
0.547718	1.748626
0.549315	1.748134
0.550916	1.747646
0.552523	1.747162
0.554134	1.746682
0.55575	1.746205
0.55737	1.745732
0.558995	1.745263
0.560625	1.744797
0.56226	1.744335
0.5639	1.743876
0.565544	1.743421
0.567193	1.74297
0.568847	1.742521
0.570505	1.742077
0.572169	1.741635
0.573837	1.741197
0.575511	1.740763
0.577189	1.740331
0.578872	1.739903
0.58056	1.739478
0.582252	1.739057
0.58395	1.738638
0.585653	1.738223
0.587361	1.737811
0.589073	1.737402
0.590791	1.736996
0.592514	1.736593
0.594241	1.736193
0.595974	1.735797
0.597712	1.735403
0.599455	1.735012
0.601203	1.734624
0.602956	1.734239
0.604714	1.733857
0.606477	1.733478
0.608245	1.733101
0.610019	1.732728
0.611798	1.732357
0.613582	1.731989
0.615371	1.731623
0.617165	1.731261
0.618965	1.730901
0.620769	1.730544
0.62258	1.730189
0.624395	1.729837
0.626216	1.729488
0.628042	1.729141
0.629873	1.728797
0.631709	1.728455
0.633551	1.728116
0.635399	1.72778
0.637252	1.727445
0.63911	1.727114
0.640973	1.726785
0.642842	1.726458
0.644717	1.726133
0.646597	1.725811
0.648482	1.725492
0.650373	1.725174
0.652269	1.724859
0.654171	1.724547
0.656079	1.724236
0.657992	1.723928
0.65991	1.723622
0.661835	1.723318
0.663764	1.723017
0.6657	1.722718
0.667641	1.722421
0.669588	1.722126
0.67154	1.721833
0.673498	1.721542
0.675462	1.721254
0.677432	1.720967
0.679407	1.720683
0.681388	1.7204
0.683375	1.72012
0.685368	1.719842
0.687366	1.719566
0.68937	1.719291
0.69138	1.719019
0.693396	1.718749
0.695418	1.71848
0.697446	1.718214
0.69948	1.717949
0.701519	1.717686
0.703565	1.717425
0.705616	1.717167
0.707674	1.716909
0.709737	1.716654
0.711807	1.716401
0.713882	1.716149
0.715964	1.715899
0.718052	1.715651
0.720145	1.715405
0.722245	1.71516
0.724351	1.714917
0.726463	1.714676
0.728581	1.714437
0.730706	1.714199
0.732837	1.713963
0.734973	1.713729
0.737117	1.713496
0.739266	1.713265
0.741421	1.713036
0.743583	1.712808
0.745752	1.712582
0.747926	1.712357
0.750107	1.712134
0.752294	1.711913
0.754488	1.711693
0.756688	1.711474
0.758894	1.711257
0.761107	1.711042
0.763326	1.710828
0.765552	1.710616
0.767784	1.710405
0.770023	1.710196
0.772268	1.709988
0.77452	1.709781
0.776779	1.709576
0.779044	1.709373
0.781315	1.709171
0.783593	1.70897
0.785878	1.70877
0.78817	1.708572
0.790468	1.708376
0.792773	1.708181
0.795084	1.707987
0.797403	1.707794
0.799728	1.707603
0.80206	1.707413
0.804399	1.707224
0.806744	1.707037
0.809096	1.706851
0.811456	1.706666
0.813822	1.706483
0.816195	1.706301
0.818575	1.70612
0.820962	1.70594
0.823355	1.705761
0.825756	1.705584
0.828164	1.705408
0.830579	1.705233
0.833001	1.70506
0.83543	1.704887
0.837866	1.704716
0.840309	1.704546
0.842759	1.704377
0.845216	1.704209
0.847681	1.704042
0.850153	1.703877
0.852631	1.703712
0.855118	1.703549
0.857611	1.703387
0.860112	1.703226
0.86262	1.703066
0.865135	1.702907
0.867658	1.702749
0.870188	1.702592
0.872725	1.702437
0.87527	1.702282
0.877822	1.702128
0.880382	1.701976
0.882949	1.701824
0.885523	1.701674
0.888105	1.701524
0.890695	1.701376
0.893292	1.701228
0.895897	1.701082
0.898509	1.700936
0.901129	1.700792
0.903757	1.700648
0.906392	1.700506
0.909035	1.700364
0.911685	1.700223
0.914344	1.700084
0.91701	1.699945
0.919684	1.699807
0.922365	1.69967
0.925055	1.699534
0.927752	1.699399
0.930457	1.699264
0.93317	1.699131
0.935891	1.698998
0.93862	1.698867
0.941357	1.698736
0.944102	1.698606
0.946855	1.698477
0.949616	1.698349
0.952385	1.698222
0.955162	1.698095
0.957947	1.69797
0.96074	1.697845
0.963542	1.697721
0.966351	1.697598
0.969169	1.697476
0.971995	1.697354
0.974829	1.697233
0.977672	1.697114
0.980523	1.696994
0.983382	1.696876
0.986249	1.696759
0.989125	1.696642
0.992009	1.696526
0.994902	1.696411
0.997803	1.696296
1.00071	1.696182
1.00363	1.696069
1.00656	1.695957
1.00949	1.695845
1.01243	1.695735
1.01539	1.695625
1.01835	1.695515
1.02132	1.695407
1.0243	1.695299
1.02728	1.695192
1.03028	1.695085
1.03328	1.694979
1.03629	1.694874
1.03932	1.69477
1.04235	1.694666
1.04539	1.694563
1.04843	1.69446
1.05149	1.694359
1.05456	1.694257
1.05763	1.694157
1.06072	1.694057
1.06381	1.693958
1.06691	1.69386
1.07002	1.693762
1.07314	1.693664
1.07627	1.693568
1.07941	1.693472
1.08256	1.693377
1.08571	1.693282
1.08888	1.693188
1.09205	1.693094
1.09524	1.693001
1.09843	1.692909
1.10164	1.692817
1.10485	1.692726
1.10807	1.692636
1.1113	1.692546
1.11454	1.692456
1.11779	1.692367
1.12105	1.692279
1.12432	1.692192
1.1276	1.692104
1.13088	1.692018
1.13418	1.691932
1.13749	1.691846
1.14081	1.691762
1.14413	1.691677
1.14747	1.691593
1.15081	1.69151
1.15417	1.691427
1.15754	1.691345
1.16091	1.691263
1.1643	1.691182
1.16769	1.691102
1.1711	1.691022
1.17451	1.690942
1.17794	1.690863
1.18137	1.690784
1.18481	1.690706
1.18827	1.690628
1.19173	1.690551
1.19521	1.690475
1.19869	1.690399
1.20219	1.690323
1.20569	1.690248
1.20921	1.690173
1.21274	1.690099
1.21627	1.690025
1.21982	1.689952
1.22338	1.689879
1.22694	1.689807
1.23052	1.689735
1.23411	1.689663
1.23771	1.689592
1.24132	1.689522
1.24494	1.689452
1.24857	1.689382
1.25221	1.689313
1.25586	1.689244
1.25952	1.689176
1.26319	1.689108
1.26688	1.68904
1.27057	1.688973
1.27427	1.688906
1.27799	1.68884
1.28172	1.688774
1.28545	1.688709
1.2892	1.688644
1.29296	1.688579
1.29673	1.688515
1.30051	1.688452
1.3043	1.688388
1.30811	1.688325
1.31192	1.688263
1.31575	1.6882
1.31958	1.688139
1.32343	1.688077
1.32729	1.688016
1.33116	1.687956
1.33504	1.687895
1.33894	1.687835
1.34284	1.687776
1.34675	1.687717
1.35068	1.687658
1.35462	1.6876
1.35857	1.687542
1.36253	1.687484
1.3665	1.687427
1.37049	1.68737
1.37449	1.687313
1.37849	1.687257
1.38251	1.687201
1.38654	1.687145
1.39059	1.68709
1.39464	1.687035
1.39871	1.686981
1.40279	1.686927
1.40688	1.686873
1.41098	1.686819
1.41509	1.686766
1.41922	1.686713
1.42336	1.686661
1.42751	1.686609
1.43167	1.686557
1.43585	1.686505
1.44003	1.686454
1.44423	1.686403
1.44844	1.686352
1.45267	1.686302
1.4569	1.686252
1.46115	1.686203
1.46541	1.686153
1.46968	1.686104
1.47397	1.686055
1.47827	1.686007
1.48258	1.685959
1.4869	1.685911
1.49124	1.685863
1.49558	1.685816
1.49994	1.685769
1.50432	1.685723
1.5087	1.685676
1.5131	1.68563
1.51752	1.685584
1.52194	1.685539
1.52638	1.685493
1.53083	1.685448
1.53529	1.685404
1.53977	1.685359
1.54426	1.685315
1.54876	1.685271
1.55328	1.685228
1.55781	1.685184
1.56235	1.685141
1.56691	1.685098
1.57147	1.685056
1.57606	1.685014
1.58065	1.684972
1.58526	1.68493
1.58988	1.684888
1.59452	1.684847
1.59917	1.684806
1.60383	1.684765
1.60851	1.684725
1.6132	1.684685
1.6179	1.684645
1.62262	1.684605
1.62735	1.684565
1.6321	1.684526
1.63686	1.684487
1.64163	1.684448
1.64642	1.68441
1.65122	1.684371
1.65603	1.684333
1.66086	1.684295
1.6657	1.684258
1.67056	1.68422
1.67543	1.684183
1.68032	1.684146
1.68522	1.684109
1.69013	1.684073
1.69506	1.684037
1.7	1.684001

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