Optical constants

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

Nyakuchena et al. 2023: n 1.10–1.65 µm

Data
formula 5
Range
1.1–1.65 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 1.1–1.65 µm
Refractive index n
1.47801
Extinction coefficient k
0
Permittivity ε1
2.18452
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0034234 µm⁻¹
Group index ng
1.48263
Group velocity dispersion
13.0873 fs²/mm
Dispersion parameter D
-13.5265 ps/(nm·km)
Photon energy
0.918401 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): Nyakuchena et al. 2023: n 1.10–1.65 µm
mat = ls.fetch_refractiveindex("organic", "poly_methyl_methacrylate", "Nyakuchena", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (1100, 1650) nm
eps = mat.eps([1350])  # 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

Cauchy (formula 5), λ in µm
n=1.4778−0.00057547⁢λ2.0+0.0023⁢λ−2.0

Valid from 1.1 to 1.65 µm.

Coefficients as stored
CiValue
C11.4778
C2-0.00057547
C32.0
C40.0023
C5-2.0

Comments and conditions

Polymer microspheres. 23 °C

Conditions

temperature
296 K

References

M. Nyakuchena, C. Juntunen, P. Shea, Y. Sung. Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy. Phys. Chem. Chem. Phys. 25, 23141-23149 (2023)
  • doi:10.1039/d3cp03158f Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy, Physical Chemistry Chemical Physics (2023)

Cite

Melisa Nyakuchena, Cory Juntunen, Peter Shea and Yongjin Sung. Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy. Physical Chemistry Chemical Physics, 25, 23141-23149 (2023), doi:10.1039/d3cp03158f; 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), Nyakuchena et al. 2023: n 1.10–1.65 µm: n and k versus wavelength
λ (µm)n
1.11.479005
1.101121.478999
1.102241.478994
1.103361.478989
1.104481.478983
1.10561.478978
1.106731.478973
1.107851.478968
1.108981.478962
1.110111.478957
1.111241.478952
1.112371.478947
1.11351.478942
1.114631.478936
1.115761.478931
1.11691.478926
1.118031.478921
1.119171.478915
1.120311.47891
1.121451.478905
1.122591.4789
1.123731.478895
1.124871.47889
1.126011.478884
1.127161.478879
1.12831.478874
1.129451.478869
1.13061.478864
1.131751.478859
1.13291.478853
1.134051.478848
1.13521.478843
1.136361.478838
1.137511.478833
1.138671.478828
1.139831.478823
1.140991.478818
1.142151.478812
1.143311.478807
1.144471.478802
1.145631.478797
1.14681.478792
1.147961.478787
1.149131.478782
1.15031.478777
1.151471.478772
1.152641.478767
1.153811.478762
1.154991.478756
1.156161.478751
1.157341.478746
1.158511.478741
1.159691.478736
1.160871.478731
1.162051.478726
1.163231.478721
1.164411.478716
1.16561.478711
1.166781.478706
1.167971.478701
1.169161.478696
1.170351.478691
1.171531.478686
1.172731.478681
1.173921.478676
1.175111.478671
1.176311.478666
1.17751.478661
1.17871.478656
1.17991.478651
1.18111.478646
1.18231.478641
1.18351.478636
1.18471.478631
1.185911.478626
1.187111.478621
1.188321.478616
1.189531.478611
1.190741.478606
1.191951.478601
1.193161.478596
1.194371.478591
1.195591.478586
1.19681.478581
1.198021.478577
1.199241.478572
1.200461.478567
1.201681.478562
1.20291.478557
1.204121.478552
1.205351.478547
1.206571.478542
1.20781.478537
1.209031.478532
1.210261.478527
1.211491.478522
1.212721.478518
1.213951.478513
1.215191.478508
1.216421.478503
1.217661.478498
1.21891.478493
1.220141.478488
1.221381.478483
1.222621.478478
1.223861.478474
1.225111.478469
1.226351.478464
1.22761.478459
1.228851.478454
1.23011.478449
1.231351.478444
1.23261.47844
1.233851.478435
1.235111.47843
1.236361.478425
1.237621.47842
1.238881.478415
1.240141.47841
1.24141.478406
1.242661.478401
1.243921.478396
1.245191.478391
1.246451.478386
1.247721.478381
1.248991.478377
1.250261.478372
1.251531.478367
1.25281.478362
1.254081.478357
1.255351.478353
1.256631.478348
1.257911.478343
1.259191.478338
1.260471.478333
1.261751.478329
1.263031.478324
1.264311.478319
1.26561.478314
1.266891.478309
1.268171.478305
1.269461.4783
1.270751.478295
1.272051.47829
1.273341.478285
1.274631.478281
1.275931.478276
1.277231.478271
1.278531.478266
1.279831.478262
1.281131.478257
1.282431.478252
1.283731.478247
1.285041.478243
1.286351.478238
1.287651.478233
1.288961.478228
1.290271.478223
1.291591.478219
1.29291.478214
1.294211.478209
1.295531.478204
1.296851.4782
1.298161.478195
1.299481.47819
1.300811.478186
1.302131.478181
1.303451.478176
1.304781.478171
1.30611.478167
1.307431.478162
1.308761.478157
1.310091.478152
1.311421.478148
1.312761.478143
1.314091.478138
1.315431.478133
1.316771.478129
1.31811.478124
1.319441.478119
1.320791.478115
1.322131.47811
1.323471.478105
1.324821.4781
1.326171.478096
1.327511.478091
1.328861.478086
1.330211.478082
1.331571.478077
1.332921.478072
1.334281.478067
1.335631.478063
1.336991.478058
1.338351.478053
1.339711.478049
1.341071.478044
1.342441.478039
1.34381.478034
1.345171.47803
1.346541.478025
1.34791.47802
1.349271.478016
1.350651.478011
1.352021.478006
1.353391.478002
1.354771.477997
1.356151.477992
1.357531.477988
1.358911.477983
1.360291.477978
1.361671.477973
1.363061.477969
1.364441.477964
1.365831.477959
1.367221.477955
1.368611.47795
1.371.477945
1.371391.477941
1.372791.477936
1.374181.477931
1.375581.477927
1.376981.477922
1.378381.477917
1.379781.477913
1.381181.477908
1.382591.477903
1.383991.477898
1.38541.477894
1.386811.477889
1.388221.477884
1.389631.47788
1.391041.477875
1.392461.47787
1.393871.477866
1.395291.477861
1.396711.477856
1.398131.477852
1.399551.477847
1.400971.477842
1.40241.477838
1.403821.477833
1.405251.477828
1.406681.477824
1.408111.477819
1.409541.477814
1.410971.47781
1.412411.477805
1.413841.4778
1.415281.477796
1.416721.477791
1.418161.477786
1.41961.477782
1.421051.477777
1.422491.477772
1.423941.477768
1.425391.477763
1.426831.477758
1.428281.477753
1.429741.477749
1.431191.477744
1.432651.477739
1.43411.477735
1.435561.47773
1.437021.477725
1.438481.477721
1.439941.477716
1.441411.477711
1.442871.477707
1.444341.477702
1.445811.477697
1.447281.477693
1.448751.477688
1.450221.477683
1.45171.477679
1.453171.477674
1.454651.477669
1.456131.477665
1.457611.47766
1.459091.477655
1.460581.477651
1.462061.477646
1.463551.477641
1.465041.477636
1.466531.477632
1.468021.477627
1.469511.477622
1.4711.477618
1.47251.477613
1.4741.477608
1.475491.477604
1.476991.477599
1.47851.477594
1.481.47759
1.48151.477585
1.483011.47758
1.484521.477575
1.486031.477571
1.487541.477566
1.489051.477561
1.490561.477557
1.492081.477552
1.49361.477547
1.495121.477543
1.496641.477538
1.498161.477533
1.499681.477528
1.501211.477524
1.502731.477519
1.504261.477514
1.505791.47751
1.507321.477505
1.508851.4775
1.510391.477495
1.511921.477491
1.513461.477486
1.5151.477481
1.516541.477477
1.518081.477472
1.519621.477467
1.521171.477462
1.522721.477458
1.524261.477453
1.525811.477448
1.527361.477443
1.528921.477439
1.530471.477434
1.532031.477429
1.533591.477424
1.535151.47742
1.536711.477415
1.538271.47741
1.539831.477406
1.54141.477401
1.542961.477396
1.544531.477391
1.54611.477387
1.547681.477382
1.549251.477377
1.550821.477372
1.55241.477368
1.553981.477363
1.555561.477358
1.557141.477353
1.558721.477348
1.560311.477344
1.56191.477339
1.563481.477334
1.565071.477329
1.566661.477325
1.568261.47732
1.569851.477315
1.571451.47731
1.573051.477306
1.574651.477301
1.576251.477296
1.577851.477291
1.579451.477286
1.581061.477282
1.582671.477277
1.584281.477272
1.585891.477267
1.58751.477262
1.589111.477258
1.590731.477253
1.592351.477248
1.593961.477243
1.595591.477238
1.597211.477234
1.598831.477229
1.600461.477224
1.602081.477219
1.603711.477214
1.605341.477209
1.606981.477205
1.608611.4772
1.610251.477195
1.611881.47719
1.613521.477185
1.615161.47718
1.61681.477176
1.618451.477171
1.620091.477166
1.621741.477161
1.623391.477156
1.625041.477151
1.626691.477146
1.628351.477142
1.631.477137
1.631661.477132
1.633321.477127
1.634981.477122
1.636641.477117
1.63831.477112
1.639971.477107
1.641641.477103
1.643311.477098
1.644981.477093
1.646651.477088
1.648321.477083
1.651.477078

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
—