Optical constants

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

Zhang et al. 2020: Tomson; 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
1.48512
Extinction coefficient k
2.30920e-07
Permittivity ε1
2.20557
Permittivity ε2
6.85886e-07
Absorption coefficient α
0.0493844 cm⁻¹
Penetration depth δ = λ/(2πk)
4.04986e+08 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.036 µm⁻¹
Group index ng
1.50627
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: Tomson; n,k 0.4–20 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Zhang-Tomson", 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: Tomson, China.

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: Tomson; n,k 0.4–20 µm: n and k versus wavelength
λ (µm)nk
0.41.500293.82e-07
0.411.498752.39e-07
0.421.497522.24e-07
0.431.49642.18e-07
0.441.49562.05e-07
0.451.494432.24e-07
0.461.493582.13e-07
0.471.492491.97e-07
0.481.491612.23e-07
0.491.490892.14e-07
0.51.490212.24e-07
0.511.489462.16e-07
0.521.488762.17e-07
0.531.487882.18e-07
0.541.487592.21e-07
0.551.487032.28e-07
0.561.486392.25e-07
0.571.485872.33e-07
0.581.485392.37e-07
0.591.485032.29e-07
0.61.484322.76e-07
0.611.484172.65e-07
0.621.483452.56e-07
0.631.483062.6e-07
0.641.482912.67e-07
0.651.482232.56e-07
0.661.48232.48e-07
0.671.482032.32e-07
0.681.481962.3e-07
0.691.48162.44e-07
0.71.480982.63e-07
0.711.480972.57e-07
0.721.480722.95e-07
0.731.480332.91e-07
0.741.479582.78e-07
0.751.479772.67e-07
0.761.479342.54e-07
0.771.479132.13e-07
0.781.478472.83e-07
0.791.47862.76e-07
0.81.478242.68e-07
0.811.4782.56e-07
0.821.47862.78e-07
0.831.478683.08e-07
0.841.477812.48e-07
0.851.47852.72e-07
0.861.478313.12e-07
0.871.478173.78e-07
0.881.477914.35e-07
0.891.47795.54e-07
0.91.477699.13e-07
0.911.477653.98e-07
0.921.477449.99e-07
0.931.477418.66e-07
0.941.477167.05e-07
0.951.477117.65e-07
0.961.477035.37e-07
0.971.476936.85e-07
0.981.476711.02e-06
0.991.476637.44e-07
1.01.476687.26e-07
1.011.476611.05e-06
1.021.476661.06e-06
1.031.47481.52e-06
1.041.474891.56e-06
1.051.474871.32e-06
1.061.474831.23e-06
1.071.474651.28e-06
1.081.474711.28e-06
1.091.47461.2e-06
1.11.474621.45e-06
1.111.474691.84e-06
1.121.474872.38e-06
1.131.474733.63e-06
1.141.473954.84e-06
1.151.473556.04e-06
1.161.474117.99e-06
1.171.474039.59e-06
1.181.474239.31e-06
1.191.474076.56e-06
1.21.473873.67e-06
1.211.473043.34e-06
1.221.473072.49e-06
1.231.472842.26e-06
1.241.473242.07e-06
1.251.473211.91e-06
1.261.473351.64e-06
1.271.473761.88e-06
1.281.472821.85e-06
1.291.472941.83e-06
1.31.472271.87e-06
1.311.472831.97e-06
1.321.472682.26e-06
1.331.472373.2e-06
1.341.472647.24e-06
1.351.472531.02e-05
1.361.472571.12e-05
1.371.472671.24e-05
1.381.472111.33e-05
1.391.472051.34e-05
1.41.472161.19e-05
1.411.472121.14e-05
1.421.472381.2e-05
1.431.471991.15e-05
1.441.471771.01e-05
1.451.472187.8e-06
1.461.471716.17e-06
1.471.471835.46e-06
1.481.472283.65e-06
1.491.47184.6e-06
1.51.471614.04e-06
1.511.471233.75e-06
1.521.471533.49e-06
1.531.471233.49e-06
1.541.471423.42e-06
1.551.471733.65e-06
1.561.471173.95e-06
1.571.471194.36e-06
1.581.47164.75e-06
1.591.470865.26e-06
1.61.471015.93e-06
1.611.4716.99e-06
1.621.470549.07e-06
1.631.471211.04e-05
1.641.470921.24e-05
1.651.471061.93e-05
1.661.470914.28e-05
1.671.470536.48e-05
1.681.47088.91e-05
1.691.471226.59e-05
1.71.470776.89e-05
1.711.470616.55e-05
1.721.470226.68e-05
1.731.470456e-05
1.741.470375.18e-05
1.751.470634.29e-05
1.761.469763.5e-05
1.771.469973.23e-05
1.781.469993.5e-05
1.791.469793.25e-05
1.81.470082.71e-05
1.811.470582.29e-05
1.821.470412.12e-05
1.831.470172.1e-05
1.841.469212.14e-05
1.851.469952.33e-05
1.861.46932.52e-05
1.871.469612.38e-05
1.881.46942.58e-05
1.891.469623.65e-05
1.91.469366.02e-05
1.911.469886.83e-05
1.921.469574.59e-05
1.931.46953.43e-05
1.941.469253.62e-05
1.951.468613.92e-05
1.961.468983.06e-05
1.971.469252.45e-05
1.981.469122.27e-05
1.991.469042.26e-05
2.01.469372.31e-05
2.00971.459932.2e-05
2.0191.459142.25e-05
2.02851.461732.31e-05
2.03811.462392.39e-05
2.04781.460892.47e-05
2.05751.460052.59e-05
2.06731.460342.66e-05
2.07731.460852.84e-05
2.08731.463773.32e-05
2.09751.466813.41e-05
2.10771.467164.1e-05
2.1181.467144.94e-05
2.12851.468435.1e-05
2.1391.468185.49e-05
2.14961.466395.44e-05
2.15681.465655.22e-05
2.16761.464125.33e-05
2.17851.463855.42e-05
2.18961.466426.12e-05
2.1971.467097.39e-05
2.20821.467389.33e-05
2.21961.468750.000796
2.22721.468830.000584
2.23871.468149.36e-05
2.24651.467239e-05
2.25821.465720.000464
2.26611.466550.000228
2.27811.46770.000442
2.28611.467230.00121
2.29831.466190.00129
2.30651.466140.00111
2.31881.466790.00184
2.32721.467960.00175
2.33981.467980.000638
2.34821.467080.000677
2.35681.466960.00137
2.36971.467320.00237
2.37841.468080.00137
2.38721.469740.00073
2.3961.470630.000714
2.40931.468560.00195
2.41831.4680.00238
2.42741.468390.00202
2.43651.468580.0013
2.44571.466790.0014
2.45961.46620.00216
2.4691.467550.00202
2.47841.468640.00168
2.4881.468820.00161
2.49751.466950.00183
2.50721.465830.00232
2.51691.46580.00329
2.52681.466120.00275
2.53661.468050.000888
2.54661.469420.00104
2.55671.468760.00172
2.56681.467660.00109
2.5771.466830.000807
2.58731.466150.000891
2.59761.465810.000526
2.60811.466270.00061
2.61861.466860.000834
2.62931.466440.00161
2.641.466360.00212
2.64541.466790.00209
2.65621.466690.00157
2.66711.464830.00074
2.67821.463830.000575
2.68931.46440.00198
2.69491.46460.00221
2.70611.465390.00234
2.71751.466830.00296
2.72891.466970.00254
2.73471.466680.00176
2.74621.465520.00121
2.75791.465740.000883
2.76971.467450.000278
2.77561.467630.000202
2.78761.466721.21e-05
2.79961.465373.34e-05
2.80571.464940.000817
2.81791.464510.000995
2.8241.464840.00127
2.83641.466590.00144
2.84891.466890.00109
2.85511.46650.000516
2.86781.465630.000254
2.87411.4650.000584
2.88691.463190.00152
2.89981.462030.00231
2.90631.461950.00271
2.91941.463010.00318
2.9261.463880.00284
2.93931.465340.00165
2.9461.465540.00148
2.95941.466050.00237
2.96621.465650.0027
2.97981.464210.00122
2.98671.463380.000775
2.99361.462440.00108
3.00751.46110.0014
3.01451.461210.00108
3.02861.46150.000557
3.03571.46210.000325
3.04991.462190.000328
3.05711.462220.00123
3.06441.462490.00206
3.07891.462940.00151
3.08631.463120.000663
3.09361.463180.000153
3.10851.462730.000347
3.11591.462330.000684
3.12341.462120.000856
3.13861.462330.00108
3.14621.462840.00129
3.15381.462360.00154
3.16931.459690.00144
3.1771.459170.00138
3.18481.459340.0014
3.19271.459380.00155
3.20851.458570.00108
3.21641.457910.000658
3.22441.456990.000749
3.23251.456030.001
3.24871.454540.00188
3.25691.453320.00258
3.26511.451790.00353
3.27331.450180.00448
3.28991.447730.0073
3.29831.446650.00977
3.30671.445440.0133
3.31521.445230.0178
3.32371.44720.0227
3.33221.451620.0261
3.34941.460590.0245
3.35811.46090.0215
3.36681.45870.0217
3.37561.458350.0267
3.38441.463480.0331
3.39331.472140.0343
3.40221.478390.0297
3.41111.48040.0242
3.42921.482250.0174
3.43831.482710.0145
3.44741.481740.0119
3.45661.48030.0093
3.46581.479510.00707
3.47511.478910.00593
3.48451.478310.00532
3.49391.477270.00472
3.50331.475910.00483
3.51281.475020.00533
3.52241.475110.00523
3.5321.475440.00435
3.54161.475590.00308
3.55131.475460.0022
3.56111.474570.00203
3.57091.473130.0021
3.58071.471740.00187
3.59071.470690.00139
3.60061.470520.00144
3.61071.470860.00229
3.62071.47050.00257
3.63091.469620.00165
3.64111.469130.000709
3.65131.46890.000612
3.66171.468680.000829
3.6721.468350.000632
3.68251.468220.000751
3.6931.468210.00102
3.70351.468160.000892
3.71411.4680.000481
3.72481.467540.000151
3.73551.467317.01e-05
3.74631.467140.00017
3.75721.467130.000466
3.76811.466910.000652
3.77911.466260.00105
3.79011.465710.00129
3.80131.465320.00115
3.81241.465390.00118
3.82371.465520.00146
3.8351.465620.00126
3.84641.465720.00101
3.85781.465390.00109
3.86931.465290.00117
3.88091.46540.000925
3.89261.465550.000795
3.90431.465270.000838
3.91611.464570.000954
3.9281.464350.000953
3.93991.464410.000835
3.95191.464010.000679
3.9641.462960.000282
3.97621.462180.000235
3.98841.462180.000244
4.00071.462720.000679
4.01311.462940.00105
4.02551.462710.00114
4.03811.462850.00116
4.05071.462990.00107
4.06341.463060.00126
4.07621.462820.0013
4.0891.46240.000793
4.1021.462440.000629
4.1151.462380.00131
4.12811.462230.00167
4.14131.462320.00136
4.15461.462640.00126
4.16791.462320.00128
4.18141.461690.00104
4.19491.461540.000868
4.20851.461540.00099
4.22221.460460.00105
4.2361.460690.00174
4.24991.460840.00245
4.26391.45960.00255
4.2781.458620.00289
4.29211.456810.00101
4.30641.456810.000334
4.32081.458640.000303
4.33521.459040.000543
4.34981.45840.000829
4.36441.457880.00104
4.37911.457610.000958
4.3941.457770.000644
4.40891.45810.000418
4.4241.458070.000625
4.43911.457140.000886
4.45441.456490.00106
4.46971.456930.00127
4.48521.458010.000945
4.50081.4580.000745
4.51651.456960.000906
4.53231.456530.00129
4.54821.456310.00177
4.56421.455980.00174
4.58031.455780.00126
4.59651.454990.000815
4.61291.454160.000708
4.62941.454230.0012
4.6461.454430.00162
4.66271.454160.00181
4.67951.453720.00201
4.69651.452990.00244
4.71361.452260.00246
4.73081.452260.00194
4.74811.452460.00141
4.76551.45170.00153
4.78311.450480.00185
4.80081.44990.00189
4.81871.449830.00224
4.83671.449460.00259
4.85481.449190.00257
4.8731.449690.0027
4.89141.449590.00265
4.911.449090.00221
4.92861.449070.00167
4.94741.448520.00139
4.96641.447450.00136
4.98551.446460.0015
5.00471.445890.00227
5.02411.445470.00321
5.04371.445040.00357
5.06341.444210.00365
5.08321.44320.00387
5.10331.443020.00413
5.12341.443030.00384
5.14381.441910.003
5.16431.440830.00247
5.18491.439930.00236
5.20571.438330.00207
5.22671.437510.002
5.24791.437120.00253
5.26921.436070.0026
5.29071.434170.00207
5.31241.431510.00197
5.33431.42970.00206
5.35631.428990.00193
5.37851.427570.00197
5.40091.425040.00216
5.42351.421670.00275
5.44631.418870.00324
5.46931.416130.00359
5.49251.413050.00412
5.51591.409280.00486
5.53941.404490.00526
5.56321.398760.00545
5.58721.390990.0058
5.61141.380910.00647
5.63581.365770.00768
5.66041.341650.0115
5.68521.304560.0228
5.71031.250090.0866
5.73551.237910.226
5.7611.350930.351
5.78671.538660.361
5.81271.659740.239
5.83891.653280.0948
5.86531.597950.0343
5.89191.556030.0198
5.91881.533460.0155
5.9461.519870.013
5.97341.509260.00972
6.00111.501180.00838
6.0291.494350.00827
6.05711.487640.00751
6.08561.482530.00694
6.11431.478840.00742
6.14331.474910.00667
6.17251.470970.00532
6.2021.467650.00453
6.23191.466430.00401
6.2621.464640.00408
6.29241.460870.00527
6.32311.457960.00606
6.35411.455770.00558
6.38541.452170.00537
6.4171.448540.00648
6.44891.446710.00629
6.48111.44350.00542
6.51371.437620.00476
6.54661.43310.00505
6.57981.428530.00617
6.61341.421370.00768
6.64731.408970.013
6.68161.396430.0301
6.71621.400420.0529
6.75121.416230.0633
6.78651.425660.06
6.82231.423890.0622
6.85831.425040.0767
6.89481.440560.0895
6.93171.462270.0922
6.9691.486770.081
7.00661.500180.0516
7.04471.489020.0248
7.08321.467780.0176
7.12211.453380.0218
7.16151.447780.0312
7.20131.452260.0384
7.24151.458850.0347
7.28221.457270.0269
7.32331.45180.0231
7.36491.447540.0208
7.4071.441330.0192
7.44961.435130.0187
7.49261.428870.0185
7.53621.421160.0183
7.58031.413020.0195
7.62491.403110.0219
7.671.390550.0257
7.71561.377360.0329
7.76181.362790.0505
7.80861.3560.0837
7.85591.372510.113
7.90381.394290.116
7.95231.396540.115
8.00141.4020.136
8.05111.431480.149
8.10141.460330.129
8.15241.456480.0919
8.2041.421260.0716
8.25621.375010.0884
8.30911.35250.149
8.36281.386160.209
8.41711.437830.216
8.47211.456650.198
8.52781.451440.197
8.58431.443840.225
8.64151.470540.29
8.69951.571070.329
8.75831.676650.272
8.81791.7070.175
8.87831.687090.111
8.93951.659650.0751
9.00161.634590.0517
9.06451.613310.0396
9.12841.597090.0333
9.19311.584660.0309
9.25881.57410.0318
9.32541.567240.0363
9.3931.569060.0383
9.46151.572830.0286
9.53111.566550.0147
9.60171.554380.00769
9.67331.542940.00546
9.74611.53260.00525
9.81991.521140.00758
9.89491.506860.0143
9.9711.494850.0314
10.0481.499340.0548
10.1271.518520.0629
10.2071.5330.0566
10.2881.538790.0532
10.371.547180.0509
10.4531.552490.0409
10.5381.549650.0304
10.6251.545510.0241
10.7131.539020.0196
10.8021.530220.0187
10.8931.525920.0233
10.9851.529780.0262
11.0791.53260.021
11.1741.529640.0146
11.2721.525310.0127
11.371.521930.0129
11.4711.515690.0131
11.5731.509690.0156
11.6781.506130.0223
11.7841.508760.0319
11.8921.521410.0351
12.0021.529180.0264
12.1141.526470.0201
12.2291.525350.0194
12.3451.526150.0184
12.4641.52350.0139
12.5851.518690.0082
12.7081.515320.00991
12.8341.511850.0132
12.9621.5060.0151
13.0931.499320.0273
13.2271.507330.0448
13.3631.530880.0427
13.5021.539540.0247
13.6451.534470.0124
13.791.528270.00591
13.9381.522980.00135
14.0891.516550.00128
14.2441.513650.000819
14.4031.511980.00549
14.5641.512790.0064
14.731.513370.00683
14.8991.509280.0105
15.0721.503380.00796
15.251.503710.00388
15.4311.504930.00438
15.6171.506790.00701
15.8081.504120.00497
16.0031.500920.00107
16.2031.50140.000334
16.4081.499470.000373
16.6181.498040.000899
16.8341.498350.00109
17.0561.497990.000986
17.2831.497010.00437
17.5171.495570.00643
17.7571.49060.00665
18.0031.48890.00471
18.2571.492110.00584
18.5181.492410.00507
18.7861.489410.00718
19.0621.483510.0101
19.3471.481940.0115
19.641.484240.0117
19.9421.482530.0152

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
—