Optical constants

Refractive index of (C5H8O2)n (Poly(methyl methacrylate), PMMA)

Zhang et al. 2020: Mitsubishi; n,k 0.4–20 µm

Data
tabulated nk
Range
0.4–19.94 µm
Points
617
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–19.94 µm
Refractive index n
1.49283
Extinction coefficient k
1.81360e-07
Permittivity ε1
2.22854
Permittivity ε2
5.41479e-07
Absorption coefficient α
0.0387855 cm⁻¹
Penetration depth δ = λ/(2πk)
5.15656e+08 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.054 µm⁻¹
Group index ng
1.52456
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = 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): Zhang et al. 2020: Mitsubishi; n,k 0.4–20 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Zhang-Mitsubishi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (400, 19942) nm
eps = mat.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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.

Comments and conditions

Normal temperature and pressure. Manufacturer: Mitsubishi, Japan.

References

1) X. Zhang, J. Qiu, X. Li, J. Zhao, L. Liu. Complex refractive indices measurements of polymers in visible and near-infrared bands. Appl. Opt. 59, 2337-2344 (2020) (0.4-2 µm)
2) X. Zhang, J. Qiu, J. Zhao, X. Li, L. Liu. Complex refractive indices measurements of polymers in infrared bands. J. Quant. Spectrosc. Radiat. Transf. 252, 107063 (2020) (2-20 µm)
  • doi:10.1364/ao.383831 Complex refractive indices measurements of polymers in visible and near-infrared bands, Applied Optics (2020)
  • doi:10.1016/j.jqsrt.2020.107063 Complex refractive indices measurements of polymers in infrared bands, Journal of Quantitative Spectroscopy and Radiative Transfer (2020)

Cite

Xiaoning Zhang, Jun Qiu, Xingcan Li, Junming Zhao and Linhua Liu. Complex refractive indices measurements of polymers in visible and near-infrared bands. Applied Optics, 59, 2337 (2020), doi:10.1364/ao.383831; Xiaoning Zhang, Jun Qiu, Junming Zhao, Xingcan Li and Linhua Liu. Complex refractive indices measurements of polymers in infrared bands. Journal of Quantitative Spectroscopy and Radiative Transfer, 252, 107063 (2020), doi:10.1016/j.jqsrt.2020.107063; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

617 rows as published
(C5H8O2)n (Poly(methyl methacrylate), PMMA), Zhang et al. 2020: Mitsubishi; n,k 0.4–20 µm: n and k versus wavelength
λ (µm)nk
0.41.508182.34e-07
0.411.50672.12e-07
0.421.505392.05e-07
0.431.504261.92e-07
0.441.503421.68e-07
0.451.502271.74e-07
0.461.501141.46e-07
0.471.500561.35e-07
0.481.499551.51e-07
0.491.498731.46e-07
0.51.497951.55e-07
0.511.497221.49e-07
0.521.496391.53e-07
0.531.495941.56e-07
0.541.495211.66e-07
0.551.494631.74e-07
0.561.494051.78e-07
0.571.49371.86e-07
0.581.493241.92e-07
0.591.49271.78e-07
0.61.492162.43e-07
0.611.491772.11e-07
0.621.491431.98e-07
0.631.490861.77e-07
0.641.490551.79e-07
0.651.490371.58e-07
0.661.489931.48e-07
0.671.48991.33e-07
0.681.489411.15e-07
0.691.489131.23e-07
0.71.488751.36e-07
0.711.48841.31e-07
0.721.48831.53e-07
0.731.487881.62e-07
0.741.487411.62e-07
0.751.486951.49e-07
0.761.486751.04e-07
0.771.486626.31e-08
0.781.485971.4e-07
0.791.486091.13e-07
0.81.485559.92e-08
0.811.485618.9e-08
0.821.485791.26e-07
0.831.485833.68e-08
0.841.485397.54e-08
0.851.485651.05e-07
0.861.485671.5e-07
0.871.485413.89e-08
0.881.485086.32e-08
0.891.485064.55e-07
0.91.484871.82e-07
0.911.484698.71e-07
0.921.484496.45e-07
0.931.484464.64e-07
0.941.484254.39e-07
0.951.484118.95e-08
0.961.484096.18e-07
0.971.483947.49e-08
0.981.483649.96e-08
0.991.483534.82e-07
1.01.483581.21e-07
1.011.483528.89e-07
1.021.483597.97e-07
1.031.481087.87e-07
1.041.480597.96e-07
1.051.481156.94e-07
1.061.480856.99e-07
1.071.480676.3e-07
1.081.480926e-07
1.091.480927.77e-07
1.11.480587.54e-07
1.111.48071.2e-06
1.121.480471.6e-06
1.131.482.78e-06
1.141.479564.05e-06
1.151.479575.13e-06
1.161.479436.96e-06
1.171.480028.61e-06
1.181.480078.52e-06
1.191.47955.91e-06
1.21.479394.17e-06
1.211.478922.79e-06
1.221.478741.87e-06
1.231.478961.56e-06
1.241.47851.33e-06
1.251.478381.18e-06
1.261.478799.54e-07
1.271.479351.1e-06
1.281.478721.04e-06
1.291.478041.08e-06
1.31.477961.09e-06
1.311.478091.19e-06
1.321.478291.46e-06
1.331.47722.39e-06
1.341.477616.26e-06
1.351.477428.95e-06
1.361.477631e-05
1.371.478351.19e-05
1.381.477511.2e-05
1.391.477281.25e-05
1.41.477051.11e-05
1.411.477561.12e-05
1.421.477691.2e-05
1.431.477761.19e-05
1.441.477061.03e-05
1.451.477077.85e-06
1.461.476736.07e-06
1.471.477195.42e-06
1.481.477983.92e-06
1.491.477463.97e-06
1.51.476893.48e-06
1.511.476383.16e-06
1.521.476122.99e-06
1.531.476132.95e-06
1.541.476462.95e-06
1.551.477073.39e-06
1.561.476743.45e-06
1.571.476323.69e-06
1.581.47624.06e-06
1.591.475954.55e-06
1.61.475915.14e-06
1.611.476036.47e-06
1.621.476139.39e-06
1.631.475431.01e-05
1.641.475731.17e-05
1.651.475551.82e-05
1.661.475254.11e-05
1.671.475076.07e-05
1.681.475638.46e-05
1.691.47546.41e-05
1.71.475136.74e-05
1.711.475026.21e-05
1.721.475246.38e-05
1.731.475165.83e-05
1.741.474725.01e-05
1.751.474854.16e-05
1.761.474353.43e-05
1.771.474753.15e-05
1.781.475293.36e-05
1.791.474693.08e-05
1.81.47462.56e-05
1.811.474812.19e-05
1.821.474772.02e-05
1.831.474272.01e-05
1.841.474622.04e-05
1.851.473952.22e-05
1.861.474652.38e-05
1.871.474712.27e-05
1.881.474912.53e-05
1.891.474683.64e-05
1.91.474676.07e-05
1.911.474317.26e-05
1.921.474625.15e-05
1.931.47453.78e-05
1.941.474463.73e-05
1.951.474463.93e-05
1.961.474183.09e-05
1.971.474322.48e-05
1.981.473552.31e-05
1.991.473722.29e-05
2.01.473952.34e-05
2.00971.460732.37e-05
2.0191.459772.42e-05
2.02851.460392.48e-05
2.03811.4612.56e-05
2.04781.461152.64e-05
2.05751.463152.76e-05
2.06731.464792.83e-05
2.07731.465323.01e-05
2.08731.467433.49e-05
2.09751.469963.58e-05
2.10771.470894.27e-05
2.1181.470885.11e-05
2.12851.470765.28e-05
2.1391.470665.67e-05
2.14961.470665.61e-05
2.15681.471115.39e-05
2.16761.470845.5e-05
2.17851.470175.6e-05
2.18961.470356.3e-05
2.1971.470487.57e-05
2.20821.470259.51e-05
2.21961.470220.00645
2.22721.470650.00645
2.23871.471480.00626
2.24651.472320.0059
2.25821.473210.00543
2.26611.473870.00563
2.27811.472950.00538
2.28611.471010.00506
2.29831.468980.00501
2.30651.469660.005
2.31881.471790.00517
2.32721.472350.00519
2.33981.472110.00491
2.34821.471750.00506
2.35681.471520.00534
2.36971.470880.00599
2.37841.470230.00573
2.38721.470410.00514
2.3961.470840.00498
2.40931.471520.00564
2.41831.471660.00589
2.42741.471530.00586
2.43651.471680.0056
2.44571.471860.00523
2.45961.471150.0051
2.4691.470850.00499
2.47841.470240.00433
2.4881.469310.00379
2.49751.468990.00392
2.50721.469130.00453
2.51691.469550.00502
2.52681.47050.00534
2.53661.471340.00559
2.54661.47180.00524
2.55671.471610.00441
2.56681.469970.00399
2.5771.468450.00363
2.58731.467880.00381
2.59761.468120.00479
2.60811.46860.00571
2.61861.469210.00566
2.62931.46970.00562
2.641.469860.00565
2.64541.469810.00555
2.65621.470090.00535
2.66711.470140.00489
2.67821.470430.00454
2.68931.470620.00435
2.69491.470450.0045
2.70611.469460.00493
2.71751.468750.0052
2.72891.468940.0055
2.73471.469280.00558
2.74621.469630.00535
2.75791.469810.00532
2.76971.468890.00489
2.77561.468680.00457
2.78761.468780.00437
2.79961.469080.00481
2.80571.469450.00508
2.81791.469830.00542
2.8241.469490.0054
2.83641.468970.00452
2.84891.469180.00339
2.85511.46910.00317
2.86781.468450.00339
2.87411.467860.00349
2.88691.466950.00342
2.89981.467430.00445
2.90631.467560.005
2.91941.467640.00528
2.9261.46790.00522
2.93931.468520.00495
2.9461.46820.00489
2.95941.467730.00452
2.96621.468170.00446
2.97981.468380.00493
2.98671.468010.00514
2.99361.467620.00517
3.00751.466690.00471
3.01451.466240.00438
3.02861.466030.00361
3.03571.466250.00342
3.04991.46680.00329
3.05711.466920.00332
3.06441.466590.00366
3.07891.46550.00428
3.08631.465290.00427
3.09361.465090.00425
3.10851.464960.00467
3.11591.465110.00488
3.12341.465160.005
3.13861.464310.0049
3.14621.464050.00456
3.15381.4640.0046
3.16931.463390.00546
3.1771.463050.00553
3.18481.46270.0054
3.19271.461950.00505
3.20851.460360.00458
3.21641.460060.00474
3.22441.459650.00496
3.23251.459070.00507
3.24871.458160.00494
3.25691.457540.00486
3.26511.456260.00519
3.27331.454460.00609
3.28991.45110.00962
3.29831.449610.0123
3.30671.448490.0157
3.31521.448390.0203
3.32371.450110.0254
3.33221.454020.0292
3.34941.463320.0277
3.35811.463710.0247
3.36681.461280.025
3.37561.460470.0302
3.38441.465690.0365
3.39331.474910.0377
3.40221.481920.0331
3.41111.484710.0272
3.42921.485770.0197
3.43831.485080.017
3.44741.48410.015
3.45661.483380.0135
3.46581.483010.0121
3.47511.48240.0105
3.48451.481140.00912
3.49391.479570.00817
3.50331.478480.00811
3.51281.478430.00866
3.52241.479020.00858
3.5321.479350.00755
3.54161.478920.0064
3.55131.477990.00554
3.56111.476960.00493
3.57091.476140.00465
3.58071.475710.00454
3.59071.475090.00441
3.60061.474220.00451
3.61071.473580.00483
3.62071.473340.00468
3.63091.473230.00418
3.64111.472810.00398
3.65131.472260.0041
3.66171.471970.00415
3.6721.471820.00393
3.68251.471560.00377
3.6931.471310.00382
3.70351.471270.00381
3.71411.471460.00363
3.72481.471360.00354
3.73551.470890.00371
3.74631.470580.00402
3.75721.470370.00432
3.76811.469850.00454
3.77911.469330.00456
3.79011.469230.00434
3.80131.469120.00419
3.81241.468980.00434
3.82371.46890.00432
3.8351.46880.00407
3.84641.468810.00392
3.85781.468910.00383
3.86931.468830.00385
3.88091.468520.00413
3.89261.468150.00447
3.90431.467870.00436
3.91611.467790.00392
3.9281.467930.00384
3.93991.468070.00409
3.95191.468110.00411
3.9641.468010.00393
3.97621.46780.00401
3.98841.467640.0043
4.00071.467270.00441
4.01311.466620.00412
4.02551.466260.00382
4.03811.46640.00384
4.05071.466480.00392
4.06341.466140.00397
4.07621.465660.00395
4.0891.46530.00384
4.1021.465050.00373
4.1151.465090.00369
4.12811.465340.00386
4.14131.465270.00409
4.15461.46480.00408
4.16791.464650.00392
4.18141.464860.00389
4.19491.464810.00396
4.20851.464750.00413
4.22221.464860.00446
4.2361.463910.00506
4.24991.463120.00546
4.26391.463420.00508
4.2781.463310.00442
4.29211.463090.00393
4.30641.463240.00392
4.32081.46320.0038
4.33521.462770.00345
4.34981.462210.0032
4.36441.461970.00323
4.37911.461930.00356
4.3941.461720.00385
4.40891.461490.00387
4.4241.461460.00379
4.43911.461410.00381
4.45441.461270.00377
4.46971.461010.0036
4.48521.460680.00341
4.50081.460150.00327
4.51651.459430.0033
4.53231.458970.00352
4.54821.458950.00369
4.56421.459170.00376
4.58031.459160.00383
4.59651.458740.00404
4.61291.458310.00416
4.62941.457870.00413
4.6461.457470.004
4.66271.457130.00394
4.67951.456870.00414
4.69651.456730.00436
4.71361.456610.00436
4.73081.456250.00433
4.74811.455790.00437
4.76551.455520.00434
4.78311.454980.00442
4.80081.454150.00442
4.81871.453860.00426
4.83671.453880.00418
4.85481.453460.0042
4.8731.453050.00431
4.89141.45290.00451
4.911.452580.00458
4.92861.451960.0045
4.94741.45140.00434
4.96641.4510.00422
4.98551.45040.00427
5.00471.449740.00456
5.02411.449120.00464
5.04371.448250.00461
5.06341.44810.0048
5.08321.447920.00493
5.10331.447140.00497
5.12341.446340.00494
5.14381.44570.0048
5.16431.444970.00473
5.18491.444160.00444
5.20571.443170.00428
5.22671.442050.00442
5.24791.44080.00433
5.26921.43950.00398
5.29071.438090.00401
5.31241.436260.00415
5.33431.434450.00411
5.35631.432660.00411
5.37851.43050.00403
5.40091.428340.00407
5.42351.426220.00454
5.44631.423790.00489
5.46931.42060.00483
5.49251.416650.00485
5.51591.412540.00535
5.53941.407780.00597
5.56321.401810.00651
5.58721.393750.007
5.61141.383710.00786
5.63581.369530.00877
5.66041.346610.0118
5.68521.309360.022
5.71031.253010.0834
5.73551.236470.221
5.7611.345270.35
5.78671.533250.364
5.81271.657050.246
5.83891.654920.102
5.86531.601430.0397
5.89191.559830.0245
5.91881.537670.0192
5.9461.524970.0156
5.97341.51370.0122
6.00111.504160.0107
6.0291.497160.00996
6.05711.490990.00968
6.08561.486320.00972
6.11431.483050.00962
6.14331.479810.00942
6.17251.476410.00949
6.2021.473250.00893
6.23191.470750.00823
6.2621.467820.00803
6.29241.464370.00771
6.32311.461190.00752
6.35411.458370.00786
6.38541.455990.00853
6.4171.453320.00857
6.44891.450220.00787
6.48111.446770.00741
6.51371.442670.00779
6.54661.438650.00846
6.57981.432890.00857
6.61341.424850.00958
6.64731.412110.0147
6.68161.40010.0308
6.71621.404070.0535
6.75121.419250.0644
6.78651.428390.0619
6.82231.42640.0627
6.85831.427160.0766
6.89481.442080.0916
6.93171.464840.0947
6.9691.492320.0831
7.00661.505730.0546
7.04471.492790.0279
7.08321.471120.0196
7.12211.456770.0234
7.16151.451250.0321
7.20131.455360.0395
7.24151.461150.037
7.28221.459590.0296
7.32331.454660.0258
7.36491.450620.0237
7.4071.445380.0215
7.44961.439470.0203
7.49261.432690.02
7.53621.425260.0207
7.58031.417140.0224
7.62491.407420.0248
7.671.3960.0291
7.71561.382760.0371
7.76181.366660.0531
7.80861.359440.0837
7.85591.376240.112
7.90381.397860.116
7.95231.398250.116
8.00141.401210.136
8.05111.431750.151
8.10141.462680.131
8.15241.460810.094
8.2041.427450.0751
8.25621.380490.0923
8.30911.357410.153
8.36281.392130.212
8.41711.444910.218
8.47211.462340.2
8.52781.45590.2
8.58431.448510.228
8.64151.475170.292
8.69951.574610.331
8.75831.68010.275
8.81791.709270.177
8.87831.687680.113
8.93951.661240.0785
9.00161.638530.0575
9.06451.619020.0444
9.12841.602380.0366
9.19311.588760.0338
9.25881.577710.0348
9.32541.572410.0389
9.3931.574820.0399
9.46151.576710.0299
9.53111.56890.0163
9.60171.5560.0102
9.67331.545760.00877
9.74611.536530.00858
9.81991.525160.00973
9.89491.510060.0155
9.9711.49760.0334
10.0481.503420.0575
10.1271.523930.0674
10.2071.53760.0614
10.2881.542110.0568
10.371.549430.0538
10.4531.556060.0439
10.5381.555640.0329
10.6251.550990.0267
10.7131.544080.0242
10.8021.538060.0241
10.8931.535980.0258
10.9851.538090.0248
11.0791.539250.0196
11.1741.535460.0146
11.2721.530470.0131
11.371.525550.0134
11.4711.520250.0144
11.5731.515770.0176
11.6781.512610.0235
11.7841.515550.032
11.8921.526820.0353
12.0021.533820.0289
12.1141.532310.0229
12.2291.529860.021
12.3451.529160.0209
12.4641.528780.0177
12.5851.525390.0124
12.7081.520060.0108
12.8341.513880.0123
12.9621.508460.0171
13.0931.503050.0281
13.2271.511660.0444
13.3631.537520.0441
13.5021.549670.0236
13.6451.541610.0106
13.791.532370.00629
13.9381.528310.00383
14.0891.525470.00367
14.2441.523760.00387
14.4031.521550.00393
14.5641.518340.00365
14.731.515810.00354
14.8991.515410.00329
15.0721.5150.0019
15.251.512630.00267
15.4311.511260.00459
15.6171.509740.00646
15.8081.506410.00722
16.0031.505940.00682
16.2031.508690.00575
16.4081.509940.00452
16.6181.509160.00324
16.8341.506540.00421
17.0561.504840.00639
17.2831.504050.00517
17.5171.501330.00435
17.7571.497970.0055
18.0031.498430.00608
18.2571.499810.00693
18.5181.497760.00855
18.7861.495490.0101
19.0621.493010.0134
19.3471.487870.0153
19.641.485580.0162
19.9421.488180.0161

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—