Optical constants

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

Szczurowski 2013: n 0.405–1.08 µm

Data
formula 2
Range
0.4047–1.083 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4047–1.083 µm
Refractive index n
1.49059
Extinction coefficient k
0
Permittivity ε1
2.22187
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
58.005
Chromatic dispersion dn/dλ
-0.0433287 µm⁻¹
Group index ng
1.51605
Group velocity dispersion
81.808 fs²/mm
Dispersion parameter D
-446.306 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): Szczurowski 2013: n 0.405–1.08 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Szczurowski", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (404.7, 1083) 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.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.99654λ2λ2−0.00787+0.18964λ2λ2−0.02191+0.00411λ2λ2−3.85727

Valid from 0.4047 to 1.083 µm.

Coefficients as stored
CiValue
C10.0
C20.99654
C30.00787
C40.18964
C50.02191
C60.00411
C73.85727

Comments and conditions

23 °C. PMMA synthesized in Marie-Curie University in Lublin, Poland

Conditions

temperature
296 K

References

Marcin Szczurowski. Private communications (2013) [original data].

Cite

Marcin Szczurowski. Private communications (2013) [original data].; 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
(C5H8O2)n (Poly(methyl methacrylate), PMMA), Szczurowski 2013: n 0.405–1.08 µm: n and k versus wavelength
λ (µm)n
0.40471.505187
0.40571.505045
0.4067021.504904
0.4077061.504763
0.4087131.504624
0.4097231.504485
0.4107351.504347
0.411751.50421
0.4127671.504074
0.4137861.503938
0.4148081.503803
0.4158331.503669
0.416861.503536
0.417891.503403
0.4189221.503271
0.4199571.50314
0.4209941.50301
0.4220341.50288
0.4230761.502751
0.4241211.502623
0.4251691.502496
0.4262191.502369
0.4272721.502243
0.4283271.502118
0.4293851.501993
0.4304461.501869
0.4315091.501746
0.4325751.501623
0.4336441.501502
0.4347151.50138
0.4357881.50126
0.4368651.50114
0.4379441.501021
0.4390261.500902
0.440111.500785
0.4411971.500667
0.4422871.500551
0.443381.500435
0.4444751.50032
0.4455731.500205
0.4466731.500091
0.4477761.499978
0.4488831.499865
0.4499911.499753
0.4511031.499641
0.4522171.49953
0.4533341.49942
0.4544541.499311
0.4555761.499201
0.4567021.499093
0.457831.498985
0.4589611.498878
0.4600941.498771
0.4612311.498665
0.462371.49856
0.4635121.498455
0.4646571.49835
0.4658051.498246
0.4669551.498143
0.4681091.49804
0.4692651.497938
0.4704241.497837
0.4715861.497736
0.4727511.497635
0.4739191.497535
0.4750891.497436
0.4762631.497337
0.4774391.497239
0.4786191.497141
0.4798011.497044
0.4809861.496947
0.4821741.496851
0.4833651.496755
0.4845591.49666
0.4857561.496566
0.4869561.496471
0.4881591.496378
0.4893641.496285
0.4905731.496192
0.4917851.4961
0.4931.496008
0.4942171.495917
0.4954381.495827
0.4966621.495736
0.4978891.495647
0.4991181.495558
0.5003511.495469
0.5015871.495381
0.5028261.495293
0.5040681.495206
0.5053131.495119
0.5065611.495032
0.5078131.494946
0.5090671.494861
0.5103241.494776
0.5115851.494691
0.5128491.494607
0.5141151.494524
0.5153851.494441
0.5166581.494358
0.5179351.494275
0.5192141.494194
0.5204961.494112
0.5217821.494031
0.5230711.493951
0.5243631.49387
0.5256581.493791
0.5269571.493711
0.5282581.493632
0.5295631.493554
0.5308711.493476
0.5321821.493398
0.5334971.493321
0.5348151.493244
0.5361361.493168
0.537461.493092
0.5387881.493016
0.5401181.492941
0.5414531.492866
0.542791.492792
0.5441311.492717
0.5454751.492644
0.5468221.492571
0.5481731.492498
0.5495271.492425
0.5508841.492353
0.5522451.492281
0.5536091.49221
0.5549761.492139
0.5563471.492068
0.5577211.491998
0.5590991.491928
0.560481.491858
0.5618651.491789
0.5632521.49172
0.5646441.491652
0.5660381.491584
0.5674371.491516
0.5688381.491449
0.5702431.491382
0.5716521.491315
0.5730641.491249
0.5744791.491183
0.5758981.491117
0.5773211.491051
0.5787471.490986
0.5801761.490922
0.5816091.490857
0.5830461.490793
0.5844861.49073
0.585931.490666
0.5873771.490603
0.5888281.490541
0.5902831.490478
0.5917411.490416
0.5932021.490355
0.5946681.490293
0.5961361.490232
0.5976091.490171
0.5990851.490111
0.6005651.490051
0.6020481.489991
0.6035351.489931
0.6050261.489872
0.6065211.489813
0.6080191.489754
0.6095211.489696
0.6110261.489638
0.6125351.48958
0.6140481.489523
0.6155651.489465
0.6170861.489409
0.618611.489352
0.6201381.489296
0.621671.48924
0.6232051.489184
0.6247451.489128
0.6262881.489073
0.6278351.489018
0.6293861.488964
0.630941.488909
0.6324991.488855
0.6340611.488801
0.6356271.488748
0.6371971.488695
0.6387711.488642
0.6403491.488589
0.6419311.488536
0.6435161.488484
0.6451061.488432
0.6466991.488381
0.6482971.488329
0.6498981.488278
0.6515031.488227
0.6531131.488176
0.6547261.488126
0.6563431.488076
0.6579641.488026
0.6595891.487976
0.6612191.487927
0.6628521.487878
0.6644891.487829
0.6661311.48778
0.6677761.487732
0.6694251.487683
0.6710791.487636
0.6727371.487588
0.6743981.48754
0.6760641.487493
0.6777341.487446
0.6794081.487399
0.6810861.487353
0.6827691.487306
0.6844551.48726
0.6861461.487214
0.6878411.487169
0.689541.487123
0.6912431.487078
0.692951.487033
0.6946621.486988
0.6963781.486944
0.6980981.486899
0.6998221.486855
0.7015511.486811
0.7032841.486768
0.7050211.486724
0.7067621.486681
0.7085081.486638
0.7102581.486595
0.7120131.486552
0.7137711.48651
0.7155341.486468
0.7173021.486426
0.7190741.486384
0.720851.486342
0.722631.486301
0.7244151.48626
0.7262051.486219
0.7279981.486178
0.7297971.486137
0.7315991.486097
0.7334061.486057
0.7352181.486016
0.7370341.485977
0.7388541.485937
0.7406791.485897
0.7425091.485858
0.7443431.485819
0.7461821.48578
0.7480251.485741
0.7498721.485703
0.7517251.485664
0.7535811.485626
0.7554431.485588
0.7573091.48555
0.7591791.485513
0.7610551.485475
0.7629351.485438
0.7648191.485401
0.7667081.485364
0.7686021.485327
0.7705011.48529
0.7724041.485254
0.7743121.485218
0.7762241.485182
0.7781421.485146
0.7800641.48511
0.781991.485074
0.7839221.485039
0.7858581.485003
0.78781.484968
0.7897451.484933
0.7916961.484899
0.7936521.484864
0.7956121.484829
0.7975771.484795
0.7995471.484761
0.8015221.484727
0.8035021.484693
0.8054871.484659
0.8074761.484626
0.8094711.484592
0.811471.484559
0.8134751.484526
0.8154841.484493
0.8174981.48446
0.8195181.484427
0.8215421.484395
0.8235711.484363
0.8256061.48433
0.8276451.484298
0.8296891.484266
0.8317391.484234
0.8337931.484203
0.8358531.484171
0.8379171.48414
0.8399871.484109
0.8420621.484077
0.8441421.484046
0.8462271.484016
0.8483171.483985
0.8504121.483954
0.8525131.483924
0.8546191.483893
0.856731.483863
0.8588461.483833
0.8609671.483803
0.8630941.483773
0.8652261.483744
0.8673631.483714
0.8695061.483685
0.8716531.483655
0.8738061.483626
0.8759651.483597
0.8781281.483568
0.8802971.483539
0.8824721.483511
0.8846521.483482
0.8868371.483454
0.8890271.483425
0.8912231.483397
0.8934251.483369
0.8956321.483341
0.8978441.483313
0.9000621.483285
0.9022851.483258
0.9045131.48323
0.9067481.483202
0.9089871.483175
0.9112331.483148
0.9134831.483121
0.915741.483094
0.9180021.483067
0.9202691.48304
0.9225421.483013
0.9248211.482987
0.9271061.48296
0.9293961.482934
0.9316911.482907
0.9339931.482881
0.93631.482855
0.9386121.482829
0.9409311.482803
0.9432551.482777
0.9455851.482752
0.9479211.482726
0.9502621.482701
0.9526091.482675
0.9549621.48265
0.9573211.482625
0.9596861.482599
0.9620561.482574
0.9644331.482549
0.9668151.482525
0.9692031.4825
0.9715971.482475
0.9739971.48245
0.9764031.482426
0.9788141.482401
0.9812321.482377
0.9836561.482353
0.9860861.482329
0.9885211.482304
0.9909631.48228
0.9934111.482256
0.9958651.482232
0.9983241.482209
1.000791.482185
1.003261.482161
1.005741.482138
1.008221.482114
1.010721.482091
1.013211.482067
1.015711.482044
1.018221.482021
1.020741.481998
1.023261.481975
1.025791.481952
1.028321.481929
1.030861.481906
1.033411.481883
1.035961.48186
1.038521.481838
1.041081.481815
1.043661.481792
1.046231.48177
1.048821.481747
1.051411.481725
1.054011.481703
1.056611.48168
1.059221.481658
1.061841.481636
1.064461.481614
1.067091.481592
1.069721.48157
1.072371.481548
1.075011.481526
1.077671.481504
1.080331.481483
1.0831.481461

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
—