Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.32816
Extinction coefficient k: 0

Permittivity ε₁: 1.764
Permittivity ε₂: 0

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

Abbe number V_d: 61.376
Chromatic dispersion dn/dλ: -0.0282439 µm⁻¹

Group index n_g: 1.34475
Group velocity dispersion: 45.8182 fs²/mm

Dispersion parameter D: -249.963 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, D2O (Water, heavy water, ice): Sarkar et al. 2022: n 0.48–0.71 µm
h2o_d2o = ls.fetch_refractiveindex("main", "H2O", "Sarkar-D2O", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(h2o_d2o.range_nm)  # (480, 710) nm
eps = h2o_d2o.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_6230080b0e76/lightsmith"
h2o_d2o = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(h2o_d2o.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (h2o/sarkar-2022-d2o).

# ... load h2o_d2o as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=h2o_d2o)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=480, 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 = 1.31914 + 0.00336189302 λ^{- 2.0} - 8.57651 \times 10^{-5} λ^{- 4.0}

Valid from 0.48 to 0.71 µm.

Coefficients as stored

C_i	Value
C1	1.31914
C2	0.00336189302
C3	-2.0
C4	-8.57651e-05
C5	-4.0

Comments and conditions

Room temperature.

References

S. Sarkar, A. K. Ghosh, M. Adnan, O. Aftenieva, V. Gupta, A. Fery, J. Joseph, T. A. F. König. Enhanced figure of merit via hybridized guided-mode resonances in 2D-metallic photonic crystal slabs. Adv. Optical Mater. 2022, 2200954 (See supporting information)

doi:10.1002/adom.202200954 Enhanced Figure of Merit via Hybridized Guided‐Mode Resonances in 2D‐Metallic Photonic Crystal Slabs, Advanced Optical Materials (2022)

Cite

Swagato Sarkar et al.. Enhanced Figure of Merit via Hybridized Guided‐Mode Resonances in 2D‐Metallic Photonic Crystal Slabs. Advanced Optical Materials, 10, 2200954 (2022), doi:10.1002/adom.202200954; 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, D2O (Water, heavy water, ice), Sarkar et al. 2022: n 0.48–0.71 µm: n and k versus wavelength
λ (µm)	n
0.48	1.332116
0.480471	1.332094
0.480943	1.332071
0.481415	1.332049
0.481888	1.332027
0.482361	1.332005
0.482834	1.331983
0.483308	1.331961
0.483782	1.331939
0.484257	1.331917
0.484733	1.331895
0.485209	1.331873
0.485685	1.331851
0.486162	1.331829
0.486639	1.331807
0.487117	1.331785
0.487595	1.331763
0.488073	1.331741
0.488552	1.33172
0.489032	1.331698
0.489512	1.331676
0.489993	1.331655
0.490474	1.331633
0.490955	1.331611
0.491437	1.33159
0.491919	1.331568
0.492402	1.331547
0.492886	1.331525
0.493369	1.331504
0.493854	1.331483
0.494339	1.331461
0.494824	1.33144
0.49531	1.331419
0.495796	1.331397
0.496282	1.331376
0.49677	1.331355
0.497257	1.331334
0.497745	1.331312
0.498234	1.331291
0.498723	1.33127
0.499213	1.331249
0.499703	1.331228
0.500193	1.331207
0.500684	1.331186
0.501176	1.331165
0.501668	1.331144
0.50216	1.331123
0.502653	1.331102
0.503146	1.331082
0.50364	1.331061
0.504135	1.33104
0.50463	1.331019
0.505125	1.330999
0.505621	1.330978
0.506117	1.330957
0.506614	1.330937
0.507111	1.330916
0.507609	1.330896
0.508107	1.330875
0.508606	1.330855
0.509105	1.330834
0.509605	1.330814
0.510105	1.330793
0.510606	1.330773
0.511107	1.330753
0.511609	1.330732
0.512111	1.330712
0.512614	1.330692
0.513117	1.330672
0.513621	1.330651
0.514125	1.330631
0.51463	1.330611
0.515135	1.330591
0.515641	1.330571
0.516147	1.330551
0.516653	1.330531
0.517161	1.330511
0.517668	1.330491
0.518176	1.330471
0.518685	1.330451
0.519194	1.330431
0.519704	1.330412
0.520214	1.330392
0.520725	1.330372
0.521236	1.330352
0.521748	1.330333
0.52226	1.330313
0.522772	1.330293
0.523286	1.330274
0.523799	1.330254
0.524313	1.330234
0.524828	1.330215
0.525343	1.330195
0.525859	1.330176
0.526375	1.330157
0.526892	1.330137
0.527409	1.330118
0.527927	1.330098
0.528445	1.330079
0.528964	1.33006
0.529483	1.33004
0.530003	1.330021
0.530523	1.330002
0.531044	1.329983
0.531565	1.329964
0.532087	1.329945
0.532609	1.329926
0.533132	1.329906
0.533655	1.329887
0.534179	1.329868
0.534704	1.329849
0.535228	1.329831
0.535754	1.329812
0.53628	1.329793
0.536806	1.329774
0.537333	1.329755
0.537861	1.329736
0.538389	1.329717
0.538917	1.329699
0.539446	1.32968
0.539976	1.329661
0.540506	1.329643
0.541036	1.329624
0.541567	1.329605
0.542099	1.329587
0.542631	1.329568
0.543164	1.32955
0.543697	1.329531
0.544231	1.329513
0.544765	1.329495
0.5453	1.329476
0.545835	1.329458
0.546371	1.329439
0.546907	1.329421
0.547444	1.329403
0.547981	1.329385
0.548519	1.329366
0.549058	1.329348
0.549597	1.32933
0.550136	1.329312
0.550676	1.329294
0.551217	1.329276
0.551758	1.329258
0.5523	1.32924
0.552842	1.329222
0.553384	1.329204
0.553928	1.329186
0.554471	1.329168
0.555016	1.32915
0.55556	1.329132
0.556106	1.329114
0.556652	1.329096
0.557198	1.329079
0.557745	1.329061
0.558293	1.329043
0.558841	1.329026
0.559389	1.329008
0.559938	1.32899
0.560488	1.328973
0.561038	1.328955
0.561589	1.328937
0.56214	1.32892
0.562692	1.328902
0.563244	1.328885
0.563797	1.328868
0.564351	1.32885
0.564905	1.328833
0.565459	1.328815
0.566014	1.328798
0.56657	1.328781
0.567126	1.328764
0.567683	1.328746
0.56824	1.328729
0.568798	1.328712
0.569356	1.328695
0.569915	1.328678
0.570475	1.32866
0.571035	1.328643
0.571595	1.328626
0.572156	1.328609
0.572718	1.328592
0.57328	1.328575
0.573843	1.328558
0.574406	1.328542
0.57497	1.328525
0.575534	1.328508
0.576099	1.328491
0.576665	1.328474
0.577231	1.328457
0.577798	1.328441
0.578365	1.328424
0.578932	1.328407
0.579501	1.32839
0.58007	1.328374
0.580639	1.328357
0.581209	1.328341
0.58178	1.328324
0.582351	1.328308
0.582922	1.328291
0.583494	1.328275
0.584067	1.328258
0.584641	1.328242
0.585214	1.328225
0.585789	1.328209
0.586364	1.328192
0.58694	1.328176
0.587516	1.32816
0.588092	1.328144
0.58867	1.328127
0.589248	1.328111
0.589826	1.328095
0.590405	1.328079
0.590985	1.328063
0.591565	1.328046
0.592145	1.32803
0.592727	1.328014
0.593309	1.327998
0.593891	1.327982
0.594474	1.327966
0.595057	1.32795
0.595642	1.327934
0.596226	1.327918
0.596812	1.327903
0.597397	1.327887
0.597984	1.327871
0.598571	1.327855
0.599158	1.327839
0.599747	1.327824
0.600335	1.327808
0.600925	1.327792
0.601514	1.327776
0.602105	1.327761
0.602696	1.327745
0.603288	1.32773
0.60388	1.327714
0.604473	1.327699
0.605066	1.327683
0.60566	1.327667
0.606254	1.327652
0.60685	1.327637
0.607445	1.327621
0.608042	1.327606
0.608638	1.32759
0.609236	1.327575
0.609834	1.32756
0.610433	1.327544
0.611032	1.327529
0.611632	1.327514
0.612232	1.327499
0.612833	1.327484
0.613435	1.327468
0.614037	1.327453
0.614639	1.327438
0.615243	1.327423
0.615847	1.327408
0.616451	1.327393
0.617056	1.327378
0.617662	1.327363
0.618268	1.327348
0.618875	1.327333
0.619483	1.327318
0.620091	1.327303
0.6207	1.327288
0.621309	1.327273
0.621919	1.327259
0.622529	1.327244
0.62314	1.327229
0.623752	1.327214
0.624364	1.3272
0.624977	1.327185
0.625591	1.32717
0.626205	1.327156
0.62682	1.327141
0.627435	1.327126
0.628051	1.327112
0.628667	1.327097
0.629285	1.327083
0.629902	1.327068
0.630521	1.327054
0.63114	1.327039
0.631759	1.327025
0.632379	1.32701
0.633	1.326996
0.633621	1.326982
0.634243	1.326967
0.634866	1.326953
0.635489	1.326939
0.636113	1.326925
0.636737	1.32691
0.637362	1.326896
0.637988	1.326882
0.638614	1.326868
0.639241	1.326854
0.639869	1.326839
0.640497	1.326825
0.641126	1.326811
0.641755	1.326797
0.642385	1.326783
0.643015	1.326769
0.643647	1.326755
0.644279	1.326741
0.644911	1.326727
0.645544	1.326714
0.646178	1.3267
0.646812	1.326686
0.647447	1.326672
0.648083	1.326658
0.648719	1.326644
0.649355	1.326631
0.649993	1.326617
0.650631	1.326603
0.65127	1.326589
0.651909	1.326576
0.652549	1.326562
0.653189	1.326548
0.653831	1.326535
0.654472	1.326521
0.655115	1.326508
0.655758	1.326494
0.656402	1.326481
0.657046	1.326467
0.657691	1.326454
0.658337	1.32644
0.658983	1.326427
0.65963	1.326413
0.660277	1.3264
0.660925	1.326387
0.661574	1.326373
0.662224	1.32636
0.662874	1.326347
0.663524	1.326334
0.664176	1.32632
0.664828	1.326307
0.66548	1.326294
0.666134	1.326281
0.666787	1.326268
0.667442	1.326255
0.668097	1.326241
0.668753	1.326228
0.669409	1.326215
0.670067	1.326202
0.670724	1.326189
0.671383	1.326176
0.672042	1.326163
0.672702	1.32615
0.673362	1.326137
0.674023	1.326125
0.674684	1.326112
0.675347	1.326099
0.67601	1.326086
0.676673	1.326073
0.677338	1.32606
0.678002	1.326048
0.678668	1.326035
0.679334	1.326022
0.680001	1.326009
0.680669	1.325997
0.681337	1.325984
0.682006	1.325971
0.682675	1.325959
0.683345	1.325946
0.684016	1.325934
0.684687	1.325921
0.68536	1.325909
0.686032	1.325896
0.686706	1.325884
0.68738	1.325871
0.688055	1.325859
0.68873	1.325846
0.689406	1.325834
0.690083	1.325821
0.69076	1.325809
0.691438	1.325797
0.692117	1.325784
0.692796	1.325772
0.693477	1.32576
0.694157	1.325748
0.694839	1.325735
0.695521	1.325723
0.696203	1.325711
0.696887	1.325699
0.697571	1.325687
0.698256	1.325675
0.698941	1.325662
0.699627	1.32565
0.700314	1.325638
0.701001	1.325626
0.70169	1.325614
0.702378	1.325602
0.703068	1.32559
0.703758	1.325578
0.704449	1.325566
0.70514	1.325554
0.705833	1.325543
0.706525	1.325531
0.707219	1.325519
0.707913	1.325507
0.708608	1.325495
0.709304	1.325483
0.71	1.325472

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