Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.49062
Extinction coefficient k: 0

Permittivity ε₁: 2.22194
Permittivity ε₂: 0

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

Abbe number V_d: 53.176
Chromatic dispersion dn/dλ: -0.0472589 µm⁻¹

Group index n_g: 1.51839
Group velocity dispersion: 90.0627 fs²/mm

Dispersion parameter D: -491.34 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

# (C5H8O2)n (Poly(methyl methacrylate), PMMA): Sultanova et al. 2009: n 0.437–1.052 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Sultanova", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (436.8, 1052) nm
eps = mat.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_181f877ceea4/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (poly-methyl-methacrylate/sultanova-2009).

# ... load mat as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=437, 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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_181f877ceea4/lightsmith?model=drude_lorentz"
mat_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

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

Sellmeier (C in µm²) (formula 2), λ in µm

n^{2} - 1 = \frac{1.1819 λ^{2}}{λ^{2} - 0.011313}

Valid from 0.4368 to 1.052 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	1.1819
C3	0.011313

Comments and conditions

20 °C

Conditions

temperature: 293 K

References

N. Sultanova, S. Kasarova, I. Nikolov. Dispersion properties of optical polymers. Acta Physica Polonica A 116, 585-587 (2009)
(fit of the experimental data with the Sellmeier dispersion formula: Mikhail Polyanskiy)

Cite

N. Sultanova, S. Kasarova, I. Nikolov. Dispersion properties of optical polymers. Acta Physica Polonica A 116, 585-587 (2009); 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

(C5H8O2)n (Poly(methyl methacrylate), PMMA), Sultanova et al. 2009: n 0.437–1.052 µm: n and k versus wavelength
λ (µm)	n
0.4368	1.502131
0.437763	1.502015
0.438729	1.5019
0.439696	1.501785
0.440666	1.501671
0.441638	1.501557
0.442612	1.501444
0.443588	1.501332
0.444566	1.50122
0.445547	1.501108
0.446529	1.500997
0.447514	1.500887
0.448501	1.500777
0.44949	1.500668
0.450481	1.500559
0.451475	1.500451
0.45247	1.500343
0.453468	1.500236
0.454468	1.500129
0.455471	1.500023
0.456475	1.499918
0.457482	1.499812
0.458491	1.499708
0.459502	1.499604
0.460515	1.4995
0.461531	1.499397
0.462549	1.499294
0.463569	1.499192
0.464591	1.499091
0.465616	1.49899
0.466643	1.498889
0.467672	1.498789
0.468703	1.498689
0.469737	1.49859
0.470773	1.498491
0.471811	1.498393
0.472851	1.498295
0.473894	1.498198
0.474939	1.498101
0.475987	1.498005
0.477037	1.497909
0.478089	1.497813
0.479143	1.497718
0.4802	1.497624
0.481259	1.49753
0.48232	1.497436
0.483384	1.497343
0.48445	1.49725
0.485518	1.497158
0.486589	1.497066
0.487662	1.496974
0.488737	1.496883
0.489815	1.496793
0.490895	1.496703
0.491978	1.496613
0.493063	1.496524
0.49415	1.496435
0.49524	1.496346
0.496332	1.496258
0.497427	1.496171
0.498524	1.496084
0.499623	1.495997
0.500725	1.495911
0.50183	1.495825
0.502936	1.495739
0.504045	1.495654
0.505157	1.495569
0.506271	1.495485
0.507388	1.495401
0.508507	1.495318
0.509628	1.495234
0.510752	1.495152
0.511878	1.495069
0.513007	1.494988
0.514139	1.494906
0.515273	1.494825
0.516409	1.494744
0.517548	1.494664
0.518689	1.494584
0.519833	1.494504
0.520979	1.494425
0.522128	1.494346
0.52328	1.494267
0.524434	1.494189
0.52559	1.494111
0.52675	1.494034
0.527911	1.493957
0.529076	1.49388
0.530242	1.493804
0.531412	1.493728
0.532584	1.493652
0.533758	1.493577
0.534935	1.493502
0.536115	1.493428
0.537297	1.493354
0.538482	1.49328
0.53967	1.493206
0.54086	1.493133
0.542053	1.49306
0.543248	1.492988
0.544446	1.492916
0.545647	1.492844
0.54685	1.492772
0.548056	1.492701
0.549265	1.492631
0.550476	1.49256
0.55169	1.49249
0.552907	1.49242
0.554126	1.492351
0.555349	1.492282
0.556573	1.492213
0.557801	1.492144
0.559031	1.492076
0.560264	1.492008
0.561499	1.491941
0.562738	1.491874
0.563979	1.491807
0.565222	1.49174
0.566469	1.491674
0.567718	1.491608
0.56897	1.491542
0.570225	1.491477
0.571483	1.491412
0.572743	1.491347
0.574006	1.491283
0.575272	1.491219
0.576541	1.491155
0.577812	1.491091
0.579086	1.491028
0.580364	1.490965
0.581643	1.490902
0.582926	1.49084
0.584212	1.490778
0.5855	1.490716
0.586791	1.490655
0.588085	1.490593
0.589382	1.490533
0.590682	1.490472
0.591985	1.490412
0.59329	1.490351
0.594599	1.490292
0.59591	1.490232
0.597224	1.490173
0.598541	1.490114
0.599861	1.490055
0.601184	1.489997
0.60251	1.489939
0.603839	1.489881
0.605171	1.489823
0.606505	1.489766
0.607843	1.489709
0.609183	1.489652
0.610527	1.489595
0.611873	1.489539
0.613223	1.489483
0.614575	1.489427
0.61593	1.489372
0.617289	1.489316
0.61865	1.489261
0.620014	1.489207
0.621382	1.489152
0.622752	1.489098
0.624126	1.489044
0.625502	1.48899
0.626882	1.488937
0.628264	1.488884
0.62965	1.488831
0.631038	1.488778
0.63243	1.488725
0.633825	1.488673
0.635222	1.488621
0.636623	1.488569
0.638027	1.488518
0.639434	1.488466
0.640845	1.488415
0.642258	1.488364
0.643674	1.488314
0.645094	1.488263
0.646516	1.488213
0.647942	1.488163
0.649371	1.488114
0.650803	1.488064
0.652239	1.488015
0.653677	1.487966
0.655119	1.487917
0.656563	1.487869
0.658011	1.48782
0.659463	1.487772
0.660917	1.487724
0.662374	1.487677
0.663835	1.487629
0.665299	1.487582
0.666766	1.487535
0.668237	1.487488
0.669711	1.487442
0.671188	1.487395
0.672668	1.487349
0.674151	1.487303
0.675638	1.487258
0.677128	1.487212
0.678621	1.487167
0.680118	1.487122
0.681618	1.487077
0.683121	1.487032
0.684628	1.486988
0.686138	1.486943
0.687651	1.486899
0.689167	1.486855
0.690687	1.486812
0.69221	1.486768
0.693737	1.486725
0.695267	1.486682
0.6968	1.486639
0.698337	1.486596
0.699877	1.486554
0.70142	1.486512
0.702967	1.486469
0.704518	1.486428
0.706071	1.486386
0.707628	1.486344
0.709189	1.486303
0.710753	1.486262
0.712321	1.486221
0.713892	1.48618
0.715466	1.48614
0.717044	1.486099
0.718625	1.486059
0.72021	1.486019
0.721798	1.485979
0.72339	1.485939
0.724985	1.4859
0.726584	1.485861
0.728187	1.485821
0.729793	1.485783
0.731402	1.485744
0.733015	1.485705
0.734632	1.485667
0.736252	1.485629
0.737875	1.48559
0.739503	1.485553
0.741134	1.485515
0.742768	1.485477
0.744406	1.48544
0.746048	1.485403
0.747693	1.485366
0.749342	1.485329
0.750995	1.485292
0.752651	1.485256
0.754311	1.485219
0.755974	1.485183
0.757642	1.485147
0.759312	1.485111
0.760987	1.485075
0.762665	1.48504
0.764347	1.485004
0.766033	1.484969
0.767722	1.484934
0.769415	1.484899
0.771112	1.484865
0.772813	1.48483
0.774517	1.484796
0.776225	1.484761
0.777937	1.484727
0.779653	1.484693
0.781372	1.484659
0.783095	1.484626
0.784822	1.484592
0.786553	1.484559
0.788288	1.484526
0.790026	1.484493
0.791769	1.48446
0.793515	1.484427
0.795265	1.484394
0.797019	1.484362
0.798776	1.48433
0.800538	1.484297
0.802303	1.484265
0.804073	1.484234
0.805846	1.484202
0.807623	1.48417
0.809404	1.484139
0.811189	1.484107
0.812978	1.484076
0.814771	1.484045
0.816568	1.484014
0.818369	1.483984
0.820174	1.483953
0.821983	1.483923
0.823795	1.483892
0.825612	1.483862
0.827433	1.483832
0.829258	1.483802
0.831086	1.483772
0.832919	1.483743
0.834756	1.483713
0.836597	1.483684
0.838442	1.483655
0.840291	1.483626
0.842144	1.483597
0.844002	1.483568
0.845863	1.483539
0.847728	1.48351
0.849598	1.483482
0.851472	1.483454
0.853349	1.483425
0.855231	1.483397
0.857117	1.483369
0.859008	1.483342
0.860902	1.483314
0.862801	1.483286
0.864704	1.483259
0.866611	1.483232
0.868522	1.483204
0.870437	1.483177
0.872357	1.48315
0.874281	1.483124
0.876209	1.483097
0.878141	1.48307
0.880078	1.483044
0.882019	1.483017
0.883964	1.482991
0.885913	1.482965
0.887867	1.482939
0.889825	1.482913
0.891788	1.482887
0.893754	1.482862
0.895725	1.482836
0.897701	1.482811
0.89968	1.482786
0.901665	1.48276
0.903653	1.482735
0.905646	1.48271
0.907643	1.482686
0.909645	1.482661
0.911651	1.482636
0.913662	1.482612
0.915677	1.482587
0.917696	1.482563
0.91972	1.482539
0.921748	1.482515
0.923781	1.482491
0.925818	1.482467
0.92786	1.482443
0.929906	1.482419
0.931957	1.482396
0.934012	1.482373
0.936072	1.482349
0.938137	1.482326
0.940205	1.482303
0.942279	1.48228
0.944357	1.482257
0.94644	1.482234
0.948527	1.482211
0.950619	1.482189
0.952715	1.482166
0.954816	1.482144
0.956922	1.482122
0.959032	1.482099
0.961147	1.482077
0.963267	1.482055
0.965392	1.482033
0.967521	1.482012
0.969654	1.48199
0.971793	1.481968
0.973936	1.481947
0.976084	1.481925
0.978236	1.481904
0.980394	1.481883
0.982556	1.481862
0.984723	1.481841
0.986894	1.48182
0.989071	1.481799
0.991252	1.481778
0.993438	1.481757
0.995629	1.481737
0.997825	1.481716
1.00003	1.481696
1.00223	1.481676
1.00444	1.481656
1.00666	1.481635
1.00888	1.481615
1.0111	1.481595
1.01333	1.481576
1.01557	1.481556
1.01781	1.481536
1.02005	1.481517
1.0223	1.481497
1.02455	1.481478
1.02681	1.481458
1.02908	1.481439
1.03135	1.48142
1.03362	1.481401
1.0359	1.481382
1.03819	1.481363
1.04048	1.481344
1.04277	1.481326
1.04507	1.481307
1.04738	1.481288
1.04969	1.48127
1.052	1.481252

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