Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.39494
Extinction coefficient k: 0

Permittivity ε₁: 1.94585
Permittivity ε₂: 0

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

Abbe number V_d: 58.149
Chromatic dispersion dn/dλ: -0.0354278 µm⁻¹

Group index n_g: 1.41576
Group velocity dispersion: 61.5703 fs²/mm

Dispersion parameter D: -335.899 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

# H2O:C3H5(OH)3 (Water:Glycerol): Gupta et al. 2022: n 0.40–0.71 µm; 50 wt% glycerol
h2o_c3h5_oh_3 = ls.fetch_refractiveindex("other", "H2O-C3H5_OH_3", "Gupta-50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(h2o_c3h5_oh_3.range_nm)  # (400, 710) nm
eps = h2o_c3h5_oh_3.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_8cd8f6221544/lightsmith"
h2o_c3h5_oh_3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(h2o_c3h5_oh_3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (h2o-c3h5-oh-3/gupta-2022-50).

# ... load h2o_c3h5_oh_3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=h2o_c3h5_oh_3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=710, 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 = 1.38412 + 0.00387705346 λ^{- 2.0} - 4.88915 \times 10^{-5} λ^{- 4.0}

Valid from 0.4 to 0.71 µm.

Coefficients as stored

C_i	Value
C1	1.38412
C2	0.00387705346
C3	-2.0
C4	-4.88915e-05
C5	-4.0

Comments and conditions

50 wt% glycerol in water. Room temperature.

References

V. Gupta, O. Aftenieva, P. T. Probst, S. Sarkar, A. M. Steiner, N. Vogel, A. Fery, T. A. F. König. Advanced colloidal sensors enabled by an out-of-plane lattice resonance. Adv. Photonics Res. 2022, 2200152 (see supporting information)

doi:10.1002/adpr.202200152 Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance, Advanced Photonics Research (2022)

Cite

Vaibhav Gupta et al.. Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance. Advanced Photonics Research, 3, 2200152 (2022), doi:10.1002/adpr.202200152; 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

H2O:C3H5(OH)3 (Water:Glycerol), Gupta et al. 2022: n 0.40–0.71 µm; 50 wt% glycerol: n and k versus wavelength
λ (µm)	n
0.4	1.406442
0.400576	1.406383
0.401152	1.406325
0.401729	1.406266
0.402308	1.406208
0.402887	1.40615
0.403466	1.406092
0.404047	1.406034
0.404628	1.405976
0.405211	1.405919
0.405794	1.405862
0.406378	1.405804
0.406963	1.405747
0.407548	1.40569
0.408135	1.405633
0.408722	1.405576
0.409311	1.40552
0.4099	1.405463
0.410489	1.405407
0.41108	1.405351
0.411672	1.405295
0.412264	1.405239
0.412858	1.405183
0.413452	1.405127
0.414047	1.405072
0.414643	1.405016
0.415239	1.404961
0.415837	1.404906
0.416435	1.404851
0.417035	1.404796
0.417635	1.404741
0.418236	1.404687
0.418838	1.404632
0.419441	1.404578
0.420044	1.404524
0.420649	1.404469
0.421254	1.404416
0.42186	1.404362
0.422467	1.404308
0.423075	1.404254
0.423684	1.404201
0.424294	1.404148
0.424905	1.404094
0.425516	1.404041
0.426128	1.403988
0.426742	1.403936
0.427356	1.403883
0.427971	1.40383
0.428587	1.403778
0.429204	1.403726
0.429821	1.403673
0.43044	1.403621
0.431059	1.403569
0.43168	1.403518
0.432301	1.403466
0.432923	1.403414
0.433546	1.403363
0.43417	1.403312
0.434795	1.40326
0.43542	1.403209
0.436047	1.403158
0.436675	1.403108
0.437303	1.403057
0.437932	1.403006
0.438563	1.402956
0.439194	1.402906
0.439826	1.402855
0.440459	1.402805
0.441093	1.402755
0.441728	1.402706
0.442363	1.402656
0.443	1.402606
0.443637	1.402557
0.444276	1.402508
0.444915	1.402458
0.445555	1.402409
0.446197	1.40236
0.446839	1.402311
0.447482	1.402263
0.448126	1.402214
0.448771	1.402166
0.449417	1.402117
0.450063	1.402069
0.450711	1.402021
0.45136	1.401973
0.452009	1.401925
0.45266	1.401877
0.453311	1.401829
0.453964	1.401782
0.454617	1.401734
0.455271	1.401687
0.455926	1.40164
0.456582	1.401593
0.45724	1.401546
0.457898	1.401499
0.458557	1.401452
0.459217	1.401406
0.459877	1.401359
0.460539	1.401313
0.461202	1.401267
0.461866	1.40122
0.46253	1.401174
0.463196	1.401128
0.463863	1.401083
0.46453	1.401037
0.465199	1.400991
0.465868	1.400946
0.466539	1.400901
0.46721	1.400855
0.467882	1.40081
0.468556	1.400765
0.46923	1.40072
0.469905	1.400675
0.470582	1.400631
0.471259	1.400586
0.471937	1.400542
0.472616	1.400497
0.473296	1.400453
0.473978	1.400409
0.47466	1.400365
0.475343	1.400321
0.476027	1.400277
0.476712	1.400234
0.477398	1.40019
0.478085	1.400147
0.478773	1.400103
0.479462	1.40006
0.480152	1.400017
0.480843	1.399974
0.481535	1.399931
0.482228	1.399888
0.482922	1.399846
0.483617	1.399803
0.484313	1.39976
0.48501	1.399718
0.485708	1.399676
0.486407	1.399634
0.487107	1.399592
0.487808	1.39955
0.48851	1.399508
0.489213	1.399466
0.489917	1.399424
0.490622	1.399383
0.491328	1.399342
0.492035	1.3993
0.492743	1.399259
0.493453	1.399218
0.494163	1.399177
0.494874	1.399136
0.495586	1.399095
0.496299	1.399054
0.497013	1.399014
0.497729	1.398973
0.498445	1.398933
0.499162	1.398893
0.499881	1.398853
0.5006	1.398813
0.501321	1.398773
0.502042	1.398733
0.502764	1.398693
0.503488	1.398653
0.504213	1.398614
0.504938	1.398574
0.505665	1.398535
0.506393	1.398496
0.507121	1.398456
0.507851	1.398417
0.508582	1.398378
0.509314	1.39834
0.510047	1.398301
0.510781	1.398262
0.511516	1.398224
0.512252	1.398185
0.512989	1.398147
0.513728	1.398109
0.514467	1.39807
0.515207	1.398032
0.515949	1.397994
0.516691	1.397956
0.517435	1.397919
0.51818	1.397881
0.518925	1.397843
0.519672	1.397806
0.52042	1.397769
0.521169	1.397731
0.521919	1.397694
0.52267	1.397657
0.523422	1.39762
0.524176	1.397583
0.52493	1.397546
0.525685	1.39751
0.526442	1.397473
0.5272	1.397436
0.527958	1.3974
0.528718	1.397364
0.529479	1.397327
0.530241	1.397291
0.531004	1.397255
0.531768	1.397219
0.532533	1.397183
0.5333	1.397148
0.534067	1.397112
0.534836	1.397076
0.535606	1.397041
0.536376	1.397005
0.537148	1.39697
0.537921	1.396935
0.538696	1.3969
0.539471	1.396865
0.540247	1.39683
0.541025	1.396795
0.541803	1.39676
0.542583	1.396725
0.543364	1.396691
0.544146	1.396656
0.544929	1.396622
0.545713	1.396588
0.546498	1.396553
0.547285	1.396519
0.548073	1.396485
0.548861	1.396451
0.549651	1.396417
0.550442	1.396384
0.551234	1.39635
0.552028	1.396316
0.552822	1.396283
0.553618	1.396249
0.554414	1.396216
0.555212	1.396183
0.556011	1.39615
0.556811	1.396116
0.557613	1.396083
0.558415	1.396051
0.559219	1.396018
0.560024	1.395985
0.56083	1.395952
0.561637	1.39592
0.562445	1.395887
0.563254	1.395855
0.564065	1.395823
0.564877	1.39579
0.56569	1.395758
0.566504	1.395726
0.567319	1.395694
0.568136	1.395662
0.568953	1.39563
0.569772	1.395599
0.570592	1.395567
0.571413	1.395536
0.572235	1.395504
0.573059	1.395473
0.573884	1.395441
0.57471	1.39541
0.575537	1.395379
0.576365	1.395348
0.577194	1.395317
0.578025	1.395286
0.578857	1.395255
0.57969	1.395224
0.580524	1.395194
0.58136	1.395163
0.582196	1.395133
0.583034	1.395102
0.583873	1.395072
0.584713	1.395042
0.585555	1.395012
0.586398	1.394982
0.587242	1.394952
0.588087	1.394922
0.588933	1.394892
0.589781	1.394862
0.590629	1.394832
0.591479	1.394803
0.592331	1.394773
0.593183	1.394744
0.594037	1.394714
0.594892	1.394685
0.595748	1.394656
0.596605	1.394627
0.597464	1.394598
0.598323	1.394569
0.599185	1.39454
0.600047	1.394511
0.60091	1.394482
0.601775	1.394453
0.602641	1.394425
0.603508	1.394396
0.604377	1.394368
0.605247	1.394339
0.606118	1.394311
0.60699	1.394283
0.607864	1.394255
0.608738	1.394227
0.609614	1.394199
0.610492	1.394171
0.61137	1.394143
0.61225	1.394115
0.613131	1.394087
0.614014	1.39406
0.614897	1.394032
0.615782	1.394005
0.616668	1.393977
0.617556	1.39395
0.618445	1.393923
0.619335	1.393895
0.620226	1.393868
0.621119	1.393841
0.622012	1.393814
0.622908	1.393787
0.623804	1.39376
0.624702	1.393734
0.625601	1.393707
0.626501	1.39368
0.627403	1.393654
0.628306	1.393627
0.62921	1.393601
0.630115	1.393575
0.631022	1.393548
0.63193	1.393522
0.63284	1.393496
0.633751	1.39347
0.634663	1.393444
0.635576	1.393418
0.636491	1.393392
0.637407	1.393366
0.638324	1.393341
0.639243	1.393315
0.640162	1.39329
0.641084	1.393264
0.642006	1.393239
0.64293	1.393213
0.643856	1.393188
0.644782	1.393163
0.64571	1.393138
0.646639	1.393112
0.64757	1.393087
0.648502	1.393062
0.649435	1.393038
0.65037	1.393013
0.651306	1.392988
0.652243	1.392963
0.653182	1.392939
0.654122	1.392914
0.655063	1.39289
0.656006	1.392865
0.65695	1.392841
0.657895	1.392817
0.658842	1.392792
0.65979	1.392768
0.66074	1.392744
0.661691	1.39272
0.662643	1.392696
0.663597	1.392672
0.664552	1.392648
0.665508	1.392625
0.666466	1.392601
0.667425	1.392577
0.668385	1.392554
0.669347	1.39253
0.670311	1.392507
0.671275	1.392483
0.672241	1.39246
0.673209	1.392437
0.674178	1.392413
0.675148	1.39239
0.676119	1.392367
0.677092	1.392344
0.678067	1.392321
0.679043	1.392298
0.68002	1.392276
0.680999	1.392253
0.681979	1.39223
0.68296	1.392207
0.683943	1.392185
0.684927	1.392162
0.685913	1.39214
0.6869	1.392117
0.687889	1.392095
0.688879	1.392073
0.68987	1.392051
0.690863	1.392028
0.691857	1.392006
0.692853	1.391984
0.69385	1.391962
0.694848	1.39194
0.695848	1.391919
0.69685	1.391897
0.697853	1.391875
0.698857	1.391853
0.699863	1.391832
0.70087	1.39181
0.701878	1.391789
0.702889	1.391767
0.7039	1.391746
0.704913	1.391724
0.705928	1.391703
0.706943	1.391682
0.707961	1.391661
0.70898	1.39164
0.71	1.391619

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