Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.49253
Extinction coefficient k: 0

Permittivity ε₁: 2.22763
Permittivity ε₂: 0

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

Abbe number V_d: 59.367
Chromatic dispersion dn/dλ: -0.0421459 µm⁻¹

Group index n_g: 1.51729
Group velocity dispersion: 78.8993 fs²/mm

Dispersion parameter D: -430.438 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): Beadie et al. 2015: n 0.42–1.62 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Beadie", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (420, 1620) 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_5963f27fdaf0/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/beadie-2015).

# ... 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=420, 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

Polynomial (formula 3), λ in µm

n^{2} = 2.1778 + 0.0061209 λ^{2.0} - 0.0015004 λ^{4.0} + 0.023678 λ^{- 2.0} - 0.0042137 λ^{- 4.0} + 0.00073417 λ^{- 6.0} - 4.5042 \times 10^{-5} λ^{- 8.0}

Valid from 0.42 to 1.62 µm.

Coefficients as stored

C_i	Value
C1	2.1778
C2	0.0061209
C3	2.0
C4	-0.0015004
C5	4.0
C6	0.023678
C7	-2.0
C8	-0.0042137
C9	-4.0
C10	0.00073417
C11	-6.0
C12	-4.5042e-05
C13	-8.0

Comments and conditions

20.1 °C. Absolute accuracy < 2×10^-4.

Conditions

temperature: 293.25 K

References

G. Beadie, M. Brindza, R. A. Flynn, A. Rosenberg, J. S. Shirk. Refractive index measurements of poly(methyl methacrylate) (PMMA) from 0.4-1.6 μm. Appl. Opt. 54, F139-F143 (2015)

doi:10.1364/ao.54.00f139 Refractive index measurements of poly(methyl methacrylate) (PMMA) from 04–16 μm, Applied Optics (2015)

Cite

G. Beadie, Michael Brindza, Richard A. Flynn, A. Rosenberg and James S. Shirk. Refractive index measurements of poly(methyl methacrylate) (PMMA) from 04–16 μm. Applied Optics, 54, F139 (2015), doi:10.1364/ao.54.00f139; 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), Beadie et al. 2015: n 0.42–1.62 µm: n and k versus wavelength
λ (µm)	n
0.42	1.504952
0.421423	1.504778
0.422852	1.504605
0.424285	1.504433
0.425723	1.504261
0.427165	1.50409
0.428613	1.503921
0.430066	1.503752
0.431523	1.503584
0.432985	1.503417
0.434453	1.503252
0.435925	1.503087
0.437403	1.502923
0.438885	1.50276
0.440372	1.502599
0.441865	1.502438
0.443362	1.502279
0.444865	1.50212
0.446372	1.501963
0.447885	1.501807
0.449403	1.501652
0.450926	1.501498
0.452454	1.501345
0.453988	1.501193
0.455526	1.501043
0.45707	1.500893
0.458619	1.500745
0.460173	1.500597
0.461733	1.500451
0.463298	1.500306
0.464868	1.500162
0.466443	1.50002
0.468024	1.499878
0.46961	1.499737
0.471202	1.499598
0.472799	1.49946
0.474401	1.499322
0.476009	1.499186
0.477622	1.499051
0.47924	1.498917
0.480865	1.498784
0.482494	1.498652
0.484129	1.498521
0.48577	1.498392
0.487416	1.498263
0.489068	1.498135
0.490726	1.498009
0.492389	1.497883
0.494058	1.497758
0.495732	1.497635
0.497412	1.497512
0.499098	1.497391
0.500789	1.49727
0.502486	1.49715
0.504189	1.497032
0.505898	1.496914
0.507612	1.496797
0.509333	1.496681
0.511059	1.496566
0.512791	1.496452
0.514529	1.496339
0.516272	1.496227
0.518022	1.496116
0.519778	1.496005
0.521539	1.495896
0.523307	1.495787
0.52508	1.495679
0.52686	1.495573
0.528645	1.495466
0.530437	1.495361
0.532234	1.495257
0.534038	1.495153
0.535848	1.49505
0.537664	1.494948
0.539486	1.494847
0.541314	1.494746
0.543149	1.494647
0.54499	1.494548
0.546837	1.49445
0.54869	1.494352
0.550549	1.494255
0.552415	1.494159
0.554287	1.494064
0.556166	1.49397
0.558051	1.493876
0.559942	1.493782
0.56184	1.49369
0.563744	1.493598
0.565654	1.493507
0.567571	1.493417
0.569495	1.493327
0.571425	1.493238
0.573361	1.493149
0.575304	1.493061
0.577254	1.492974
0.57921	1.492887
0.581173	1.492801
0.583143	1.492716
0.585119	1.492631
0.587102	1.492547
0.589092	1.492463
0.591088	1.49238
0.593092	1.492298
0.595102	1.492216
0.597118	1.492134
0.599142	1.492054
0.601172	1.491973
0.60321	1.491894
0.605254	1.491814
0.607305	1.491736
0.609363	1.491658
0.611429	1.49158
0.613501	1.491503
0.61558	1.491426
0.617666	1.49135
0.619759	1.491275
0.62186	1.4912
0.623967	1.491125
0.626082	1.491051
0.628204	1.490977
0.630333	1.490904
0.632469	1.490831
0.634612	1.490759
0.636763	1.490687
0.638921	1.490616
0.641086	1.490545
0.643259	1.490475
0.645439	1.490405
0.647626	1.490335
0.649821	1.490266
0.652023	1.490197
0.654233	1.490129
0.65645	1.490061
0.658675	1.489994
0.660907	1.489927
0.663147	1.48986
0.665395	1.489794
0.66765	1.489728
0.669912	1.489663
0.672183	1.489598
0.674461	1.489533
0.676746	1.489469
0.67904	1.489405
0.681341	1.489342
0.68365	1.489279
0.685967	1.489216
0.688292	1.489154
0.690624	1.489092
0.692965	1.48903
0.695313	1.488969
0.69767	1.488908
0.700034	1.488848
0.702407	1.488788
0.704787	1.488728
0.707176	1.488669
0.709572	1.48861
0.711977	1.488551
0.71439	1.488492
0.716811	1.488434
0.71924	1.488377
0.721678	1.488319
0.724124	1.488262
0.726578	1.488206
0.72904	1.488149
0.731511	1.488093
0.73399	1.488037
0.736477	1.487982
0.738973	1.487927
0.741478	1.487872
0.74399	1.487818
0.746512	1.487764
0.749042	1.48771
0.75158	1.487656
0.754127	1.487603
0.756683	1.48755
0.759248	1.487498
0.761821	1.487445
0.764402	1.487393
0.766993	1.487342
0.769592	1.48729
0.7722	1.487239
0.774817	1.487189
0.777443	1.487138
0.780078	1.487088
0.782722	1.487038
0.785374	1.486988
0.788036	1.486939
0.790707	1.48689
0.793386	1.486841
0.796075	1.486793
0.798773	1.486745
0.80148	1.486697
0.804196	1.486649
0.806922	1.486602
0.809656	1.486555
0.8124	1.486508
0.815154	1.486461
0.817916	1.486415
0.820688	1.486369
0.823469	1.486323
0.82626	1.486278
0.82906	1.486232
0.83187	1.486188
0.834689	1.486143
0.837518	1.486098
0.840356	1.486054
0.843204	1.48601
0.846062	1.485967
0.848929	1.485923
0.851806	1.48588
0.854693	1.485837
0.85759	1.485795
0.860496	1.485752
0.863412	1.48571
0.866338	1.485669
0.869274	1.485627
0.87222	1.485586
0.875176	1.485544
0.878142	1.485504
0.881118	1.485463
0.884104	1.485423
0.887101	1.485382
0.890107	1.485343
0.893124	1.485303
0.89615	1.485263
0.899188	1.485224
0.902235	1.485185
0.905293	1.485147
0.908361	1.485108
0.911439	1.48507
0.914528	1.485032
0.917627	1.484994
0.920737	1.484956
0.923857	1.484919
0.926988	1.484882
0.93013	1.484845
0.933282	1.484808
0.936445	1.484772
0.939619	1.484736
0.942803	1.4847
0.945998	1.484664
0.949204	1.484628
0.952421	1.484593
0.955649	1.484558
0.958888	1.484523
0.962137	1.484488
0.965398	1.484454
0.96867	1.48442
0.971952	1.484386
0.975246	1.484352
0.978552	1.484318
0.981868	1.484285
0.985195	1.484251
0.988534	1.484218
0.991884	1.484185
0.995246	1.484153
0.998619	1.48412
1.002	1.484088
1.0054	1.484056
1.00881	1.484024
1.01223	1.483993
1.01566	1.483961
1.0191	1.48393
1.02255	1.483899
1.02602	1.483868
1.02949	1.483837
1.03298	1.483807
1.03648	1.483776
1.04	1.483746
1.04352	1.483716
1.04706	1.483686
1.05061	1.483657
1.05417	1.483627
1.05774	1.483598
1.06132	1.483569
1.06492	1.48354
1.06853	1.483511
1.07215	1.483483
1.07578	1.483454
1.07943	1.483426
1.08309	1.483398
1.08676	1.48337
1.09044	1.483342
1.09414	1.483315
1.09785	1.483287
1.10157	1.48326
1.1053	1.483233
1.10905	1.483206
1.1128	1.483179
1.11657	1.483152
1.12036	1.483126
1.12416	1.483099
1.12797	1.483073
1.13179	1.483047
1.13562	1.483021
1.13947	1.482995
1.14333	1.482969
1.14721	1.482944
1.1511	1.482918
1.155	1.482893
1.15891	1.482868
1.16284	1.482843
1.16678	1.482818
1.17073	1.482793
1.1747	1.482768
1.17868	1.482744
1.18268	1.482719
1.18669	1.482695
1.19071	1.482671
1.19474	1.482647
1.19879	1.482623
1.20286	1.482599
1.20693	1.482575
1.21102	1.482551
1.21513	1.482528
1.21924	1.482504
1.22338	1.482481
1.22752	1.482458
1.23168	1.482434
1.23586	1.482411
1.24004	1.482388
1.24425	1.482365
1.24846	1.482342
1.2527	1.482319
1.25694	1.482297
1.2612	1.482274
1.26547	1.482251
1.26976	1.482229
1.27407	1.482206
1.27838	1.482184
1.28272	1.482161
1.28706	1.482139
1.29143	1.482117
1.2958	1.482094
1.30019	1.482072
1.3046	1.48205
1.30902	1.482028
1.31346	1.482006
1.31791	1.481984
1.32238	1.481962
1.32686	1.48194
1.33135	1.481918
1.33587	1.481896
1.34039	1.481874
1.34494	1.481852
1.34949	1.48183
1.35407	1.481808
1.35866	1.481786
1.36326	1.481764
1.36788	1.481742
1.37252	1.48172
1.37717	1.481698
1.38183	1.481676
1.38652	1.481654
1.39122	1.481632
1.39593	1.48161
1.40066	1.481588
1.40541	1.481566
1.41017	1.481543
1.41495	1.481521
1.41975	1.481499
1.42456	1.481476
1.42939	1.481454
1.43423	1.481431
1.43909	1.481409
1.44397	1.481386
1.44886	1.481363
1.45377	1.481341
1.4587	1.481318
1.46364	1.481295
1.4686	1.481272
1.47358	1.481248
1.47857	1.481225
1.48358	1.481202
1.48861	1.481178
1.49366	1.481154
1.49872	1.481131
1.5038	1.481107
1.50889	1.481083
1.51401	1.481058
1.51914	1.481034
1.52429	1.481009
1.52945	1.480985
1.53464	1.48096
1.53984	1.480935
1.54506	1.48091
1.55029	1.480884
1.55555	1.480859
1.56082	1.480833
1.56611	1.480807
1.57142	1.480781
1.57674	1.480754
1.58208	1.480727
1.58745	1.4807
1.59283	1.480673
1.59822	1.480646
1.60364	1.480618
1.60908	1.48059
1.61453	1.480562
1.62	1.480534

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