Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.48161
Extinction coefficient k: 0

Permittivity ε₁: 2.19516
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.024006 µm⁻¹

Group index n_g: 1.50021
Group velocity dispersion: 51.3112 fs²/mm

Dispersion parameter D: -160.92 ps/(nm·km)
Photon energy: 1.5998 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): Tsuda et al. 2018: n 0.6–1.0 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Tsuda", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (600, 1000) 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_9be4ad51ca6c/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/tsuda-2018).

# ... 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=600, 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 = 1.47 + 0.008354 λ^{- 2.0} - 0.0008309 λ^{- 4.0}

Valid from 0.6 to 1.0 µm.

Coefficients as stored

C_i	Value
C1	1.47
C2	0.008354
C3	-2.0
C4	-0.0008309
C5	-4.0

Comments and conditions

MicroChem PMMA resist with a molecular weight of 950,000; Baked at 100 °C for 10 min on a hot plate.

References

S. Tsuda, S. Yamaguchi, Y. Kanamori, H. Yugami. Spectral and angular shaping of infrared radiation in a polymer resonator with molecular vibrational modes. Opt. Express 26, 6899-6915 (2018)

doi:10.1364/oe.26.006899 Spectral and angular shaping of infrared radiation in a polymer resonator with molecular vibrational modes, Optics Express (2018)

Cite

Shinichiro Tsuda, Shuhei Yamaguchi, Yoshiaki Kanamori and Hiroo Yugami. Spectral and angular shaping of infrared radiation in a polymer resonator with molecular vibrational modes. Optics Express, 26, 6899 (2018), doi:10.1364/oe.26.006899; 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), Tsuda et al. 2018: n 0.6–1.0 µm: n and k versus wavelength
λ (µm)	n
0.6	1.486794
0.600769	1.486768
0.601538	1.486741
0.602309	1.486714
0.603081	1.486688
0.603853	1.486661
0.604627	1.486635
0.605401	1.486608
0.606177	1.486581
0.606953	1.486554
0.607731	1.486528
0.60851	1.486501
0.609289	1.486474
0.61007	1.486447
0.610851	1.486421
0.611634	1.486394
0.612417	1.486367
0.613202	1.48634
0.613987	1.486314
0.614774	1.486287
0.615562	1.48626
0.61635	1.486233
0.61714	1.486206
0.61793	1.486179
0.618722	1.486153
0.619515	1.486126
0.620308	1.486099
0.621103	1.486072
0.621899	1.486045
0.622695	1.486018
0.623493	1.485992
0.624292	1.485965
0.625092	1.485938
0.625892	1.485911
0.626694	1.485884
0.627497	1.485857
0.628301	1.48583
0.629106	1.485803
0.629912	1.485777
0.630719	1.48575
0.631527	1.485723
0.632336	1.485696
0.633146	1.485669
0.633957	1.485642
0.634769	1.485615
0.635582	1.485588
0.636397	1.485561
0.637212	1.485535
0.638028	1.485508
0.638845	1.485481
0.639664	1.485454
0.640483	1.485427
0.641304	1.4854
0.642125	1.485373
0.642948	1.485347
0.643772	1.48532
0.644596	1.485293
0.645422	1.485266
0.646249	1.485239
0.647077	1.485212
0.647906	1.485186
0.648736	1.485159
0.649567	1.485132
0.650399	1.485105
0.651232	1.485078
0.652067	1.485052
0.652902	1.485025
0.653738	1.484998
0.654576	1.484971
0.655415	1.484945
0.656254	1.484918
0.657095	1.484891
0.657937	1.484864
0.65878	1.484838
0.659624	1.484811
0.660469	1.484784
0.661315	1.484758
0.662162	1.484731
0.66301	1.484704
0.66386	1.484678
0.66471	1.484651
0.665562	1.484625
0.666414	1.484598
0.667268	1.484571
0.668123	1.484545
0.668979	1.484518
0.669836	1.484492
0.670694	1.484465
0.671553	1.484439
0.672413	1.484412
0.673275	1.484386
0.674137	1.484359
0.675001	1.484333
0.675866	1.484306
0.676731	1.48428
0.677598	1.484253
0.678466	1.484227
0.679336	1.484201
0.680206	1.484174
0.681077	1.484148
0.68195	1.484122
0.682823	1.484095
0.683698	1.484069
0.684574	1.484043
0.685451	1.484016
0.686329	1.48399
0.687208	1.483964
0.688089	1.483938
0.68897	1.483912
0.689853	1.483885
0.690737	1.483859
0.691622	1.483833
0.692508	1.483807
0.693395	1.483781
0.694283	1.483755
0.695173	1.483729
0.696063	1.483703
0.696955	1.483677
0.697848	1.483651
0.698742	1.483625
0.699637	1.483599
0.700533	1.483573
0.701431	1.483547
0.702329	1.483521
0.703229	1.483495
0.70413	1.483469
0.705032	1.483444
0.705935	1.483418
0.706839	1.483392
0.707745	1.483366
0.708652	1.483341
0.709559	1.483315
0.710468	1.483289
0.711379	1.483263
0.71229	1.483238
0.713203	1.483212
0.714116	1.483187
0.715031	1.483161
0.715947	1.483135
0.716864	1.48311
0.717783	1.483084
0.718702	1.483059
0.719623	1.483034
0.720545	1.483008
0.721468	1.482983
0.722392	1.482957
0.723318	1.482932
0.724244	1.482907
0.725172	1.482881
0.726101	1.482856
0.727031	1.482831
0.727963	1.482806
0.728895	1.48278
0.729829	1.482755
0.730764	1.48273
0.7317	1.482705
0.732637	1.48268
0.733576	1.482655
0.734516	1.48263
0.735457	1.482605
0.736399	1.48258
0.737342	1.482555
0.738287	1.48253
0.739233	1.482505
0.74018	1.48248
0.741128	1.482455
0.742077	1.48243
0.743028	1.482406
0.74398	1.482381
0.744933	1.482356
0.745887	1.482331
0.746843	1.482307
0.7478	1.482282
0.748758	1.482257
0.749717	1.482233
0.750677	1.482208
0.751639	1.482184
0.752602	1.482159
0.753566	1.482135
0.754532	1.48211
0.755498	1.482086
0.756466	1.482061
0.757435	1.482037
0.758405	1.482013
0.759377	1.481988
0.76035	1.481964
0.761324	1.48194
0.762299	1.481916
0.763276	1.481891
0.764254	1.481867
0.765233	1.481843
0.766213	1.481819
0.767195	1.481795
0.768177	1.481771
0.769162	1.481747
0.770147	1.481723
0.771134	1.481699
0.772121	1.481675
0.773111	1.481651
0.774101	1.481627
0.775093	1.481603
0.776086	1.48158
0.77708	1.481556
0.778075	1.481532
0.779072	1.481508
0.78007	1.481485
0.78107	1.481461
0.78207	1.481437
0.783072	1.481414
0.784075	1.48139
0.78508	1.481367
0.786085	1.481343
0.787092	1.48132
0.788101	1.481296
0.78911	1.481273
0.790121	1.48125
0.791134	1.481226
0.792147	1.481203
0.793162	1.48118
0.794178	1.481157
0.795195	1.481133
0.796214	1.48111
0.797234	1.481087
0.798255	1.481064
0.799278	1.481041
0.800302	1.481018
0.801327	1.480995
0.802354	1.480972
0.803382	1.480949
0.804411	1.480926
0.805441	1.480903
0.806473	1.48088
0.807506	1.480857
0.808541	1.480835
0.809577	1.480812
0.810614	1.480789
0.811652	1.480766
0.812692	1.480744
0.813733	1.480721
0.814776	1.480699
0.81582	1.480676
0.816865	1.480654
0.817911	1.480631
0.818959	1.480609
0.820008	1.480586
0.821059	1.480564
0.82211	1.480541
0.823164	1.480519
0.824218	1.480497
0.825274	1.480475
0.826331	1.480452
0.82739	1.48043
0.82845	1.480408
0.829511	1.480386
0.830574	1.480364
0.831638	1.480342
0.832703	1.48032
0.83377	1.480298
0.834838	1.480276
0.835908	1.480254
0.836979	1.480232
0.838051	1.48021
0.839124	1.480188
0.840199	1.480167
0.841276	1.480145
0.842354	1.480123
0.843433	1.480101
0.844513	1.48008
0.845595	1.480058
0.846678	1.480037
0.847763	1.480015
0.848849	1.479994
0.849937	1.479972
0.851025	1.479951
0.852116	1.479929
0.853207	1.479908
0.8543	1.479887
0.855395	1.479865
0.856491	1.479844
0.857588	1.479823
0.858686	1.479802
0.859786	1.47978
0.860888	1.479759
0.861991	1.479738
0.863095	1.479717
0.864201	1.479696
0.865308	1.479675
0.866416	1.479654
0.867526	1.479633
0.868638	1.479612
0.869751	1.479591
0.870865	1.479571
0.87198	1.47955
0.873097	1.479529
0.874216	1.479508
0.875336	1.479488
0.876457	1.479467
0.87758	1.479446
0.878704	1.479426
0.87983	1.479405
0.880957	1.479385
0.882086	1.479364
0.883216	1.479344
0.884347	1.479323
0.88548	1.479303
0.886615	1.479283
0.88775	1.479262
0.888888	1.479242
0.890026	1.479222
0.891167	1.479202
0.892308	1.479181
0.893451	1.479161
0.894596	1.479141
0.895742	1.479121
0.89689	1.479101
0.898039	1.479081
0.899189	1.479061
0.900341	1.479041
0.901494	1.479021
0.902649	1.479002
0.903806	1.478982
0.904964	1.478962
0.906123	1.478942
0.907284	1.478922
0.908446	1.478903
0.90961	1.478883
0.910775	1.478863
0.911942	1.478844
0.91311	1.478824
0.91428	1.478805
0.915451	1.478785
0.916624	1.478766
0.917798	1.478746
0.918974	1.478727
0.920151	1.478708
0.92133	1.478688
0.92251	1.478669
0.923692	1.47865
0.924875	1.478631
0.92606	1.478612
0.927247	1.478592
0.928435	1.478573
0.929624	1.478554
0.930815	1.478535
0.932007	1.478516
0.933201	1.478497
0.934397	1.478478
0.935594	1.478459
0.936792	1.47844
0.937993	1.478422
0.939194	1.478403
0.940397	1.478384
0.941602	1.478365
0.942808	1.478347
0.944016	1.478328
0.945226	1.478309
0.946437	1.478291
0.947649	1.478272
0.948863	1.478254
0.950079	1.478235
0.951296	1.478217
0.952514	1.478198
0.953735	1.47818
0.954956	1.478162
0.95618	1.478143
0.957405	1.478125
0.958631	1.478107
0.959859	1.478088
0.961089	1.47807
0.96232	1.478052
0.963553	1.478034
0.964787	1.478016
0.966023	1.477998
0.967261	1.47798
0.9685	1.477962
0.969741	1.477944
0.970983	1.477926
0.972227	1.477908
0.973473	1.47789
0.97472	1.477872
0.975968	1.477855
0.977219	1.477837
0.978471	1.477819
0.979724	1.477802
0.980979	1.477784
0.982236	1.477766
0.983494	1.477749
0.984754	1.477731
0.986016	1.477714
0.987279	1.477696
0.988544	1.477679
0.98981	1.477661
0.991078	1.477644
0.992348	1.477627
0.993619	1.477609
0.994892	1.477592
0.996167	1.477575
0.997443	1.477557
0.998721	1.47754
1	1.477523

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