Optical constants

Refractive index of (C2H4)n (Polyethylene, PE, HDPE, LDPE)

David et al. 2022: LLDPE film; n,k 2.00–12.3 µm

Data
tabulated nk
Range
2–12.26 µm
Points
514
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 2–12.26 µm
Refractive index n
1.52063
Extinction coefficient k
0.00895445
Permittivity ε1
2.31225
Permittivity ε2
0.0272329
Absorption coefficient α
227.323 cm⁻¹
Penetration depth δ = λ/(2πk)
87980.5 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.0032935 µm⁻¹
Group index ng
1.50433
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.250473 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

# (C2H4)n (Polyethylene, PE, HDPE, LDPE): David et al. 2022: LLDPE film; n,k 2.00–12.3 µm
polyethylene = ls.fetch_refractiveindex("organic", "polyethylene", "David", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(polyethylene.range_nm)  # (1999.96, 12257.5) nm
eps = polyethylene.eps([4950])  # 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

Spin-coated LLDPE. Measured using approximately 270 nm thick film (concentration 2%, dissolved in Toluene). Data at λ < 2 μm removed on author's request.

References

M. David, D. Disnan, A. Lardschneider, D. Wacht, H. Hoang, G. Ramer, H. Detz, B. Lendl, U. Schmid, G. Strasser, B. Hinkov. Structure and mid-infrared optical properties of spin-coated polyethylene films developed for integrated photonics applications. Opt. Mater. Express 12, 2168-2180 (2022)
  • doi:10.1364/ome.458667 Structure and mid-infrared optical properties of spin-coated polyethylene films developed for integrated photonics applications, Optical Materials Express (2022)

Cite

Mauro David et al.. Structure and mid-infrared optical properties of spin-coated polyethylene films developed for integrated photonics applications. Optical Materials Express, 12, 2168 (2022), doi:10.1364/ome.458667; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

514 rows as published
(C2H4)n (Polyethylene, PE, HDPE, LDPE), David et al. 2022: LLDPE film; n,k 2.00–12.3 µm: n and k versus wavelength
λ (µm)nk
1.9999651.3335230.0
2.0198321.3449240.0
2.0396971.3570320.0
2.0599561.3636320.0
2.0797871.366650.0
2.0995781.3699760.0
2.119751.3766670.0
2.1398711.3834470.0
2.1599281.3901190.0
2.1799071.3963640.0
2.1997921.4010480.0
2.2195671.4041390.0
2.2397011.408610.0
2.2597121.4129170.0
2.2795821.4168360.0
2.2998041.4164370.0
2.319871.4157810.0
2.339761.4193960.0
2.3599951.4231740.0
2.379491.4260870.0
2.3998651.4285840.0
2.4194631.4308320.0
2.4399571.434880.0
2.4596341.4393190.0
2.4796311.4403850.0
2.4999561.4412030.0
2.5193921.4433450.0
2.5397541.4461690.0
2.5598171.4481150.0
2.5795571.4495650.0
2.5996031.4502720.0
2.6199641.4513460.0
2.6399731.4518930.0
2.6596091.4536820.0
2.6795391.4556820.0
2.699771.456850.0
2.7195951.4574530.0
2.7397141.4585870.0
2.7593981.4601380.0
2.7793671.4604820.0
2.7996271.4604540.0
2.8194171.4607680.0
2.839491.4606830.0
2.859851.461170.0
2.8797051.463230.0
2.8998371.4642120.000234
2.919431.4642740.000172
2.939291.4640260.0
2.9594231.4641980.0
2.9798331.4649240.0
2.9996571.4652810.000266
3.0197491.4654580.000691
3.039221.4653820.000124
3.0598451.4668090.000813
3.0798391.4674120.002114
3.0991681.4669810.0026
3.119681.4652990.001769
3.1395141.464470.002257
3.1596031.4638890.002718
3.179951.4629650.002522
3.1995731.4619140.00304
3.219441.4608270.004019
3.2395561.4590260.004307
3.2599231.4550460.003797
3.2795121.4509590.003985
3.2993371.4470820.005385
3.3194041.4401260.00682
3.3397161.4273940.009258
3.3591891.4108670.018289
3.3799931.3843470.042343
3.399941.3712960.099345
3.4189961.4253770.17369
3.4394081.5473560.162501
3.4589111.5631620.0846
3.4798041.5239630.071419
3.499771.532920.093967
3.5199651.5822310.074763
3.5391871.5838230.030669
3.5598411.5570920.011794
3.5795021.543970.009169
3.5993821.5371330.008555
3.6194821.5317420.007726
3.639811.5275360.00695
3.6590741.5252270.007093
3.679851.524120.008287
3.6995421.5227380.008811
3.7194471.5211410.008942
3.7395661.519640.008914
3.7599051.5185120.008646
3.7790881.5179670.008772
3.799861.5172610.008376
3.8194531.5166360.007734
3.8392511.5162850.007571
3.8592551.5154860.006941
3.8794681.5153080.007044
3.8998931.5158240.007843
3.9190541.5157250.00776
3.9399011.5155880.007522
3.9594571.5158650.008179
3.9792081.5159730.00899
3.9991591.5154430.008206
4.0193091.5148560.007324
4.0396631.5148470.007346
4.0586381.5150590.007458
4.0793931.5148150.007382
4.0987421.514630.007358
4.1199111.5142510.007324
4.1396471.5136060.006631
4.1595731.5137160.006243
4.1796921.5147390.007477
4.1983061.5159490.009736
4.2188021.5155840.010157
4.23951.5147010.00998
4.2586521.5145340.009853
4.2797431.514790.009772
4.2992611.5151920.009674
4.3189571.5159380.009597
4.3388351.5159910.009143
4.3588981.5156970.008585
4.3791451.5155150.007932
4.3995821.5154170.007073
4.4183291.5157190.00756
4.4391331.5163220.008703
4.4582191.5161930.008656
4.4794041.5161170.00859
4.4988361.5159280.007983
4.5184381.5156980.007251
4.5382141.515920.007788
4.5581611.5166060.008869
4.5782851.5172630.009365
4.5985891.5172460.008771
4.6190721.5171220.00801
4.639741.5177740.008893
4.6584971.5178160.008565
4.6795211.5171150.007181
4.6986031.5168470.00658
4.7199891.5171390.006953
4.7394041.5177310.007723
4.7589791.5177490.007198
4.7787171.517320.006102
4.7986191.5165710.004366
4.8186871.516840.004231
4.8389271.5181080.005843
4.8593321.5191230.007617
4.8799131.5189270.007458
4.8983541.5187190.007283
4.9192671.5197460.008549
4.9380081.5205950.00899
4.9592621.5206650.008927
4.978311.5204720.007792
4.9999131.5204950.006372
5.0192711.5217020.00781
5.0387841.5218530.008269
5.0584481.5216150.008159
5.0782641.5215380.007984
5.0982381.5211630.006901
5.118371.5210350.006321
5.1386621.5214340.007058
5.1591121.5212130.006971
5.1797291.521710.007144
5.1979021.5225820.006696
5.2188311.5231740.006009
5.2399281.52290.005964
5.2585281.5229970.006391
5.2799481.5237220.007387
5.2988331.5242130.007763
5.3178531.5241140.007039
5.3397611.5248320.006941
5.359081.5250460.006566
5.3785361.5241380.005337
5.3981341.5235640.004638
5.4178781.5240240.005552
5.4377651.5236760.005701
5.4577971.5237580.005503
5.4779811.5246190.005907
5.4983121.5248910.005713
5.5187941.5244880.004687
5.5394331.5248450.005038
5.5572441.5254590.006039
5.5781691.5256190.00625
5.5992551.5252190.00528
5.6174541.5254860.005225
5.6388351.5252820.005368
5.6572931.5250.005488
5.6789791.5259730.005153
5.6977011.5262450.004598
5.7197011.5263860.005195
5.7386931.5265390.005615
5.7578111.5271480.005412
5.7770581.5277640.00507
5.7996731.527810.004791
5.8192011.5269950.004408
5.838861.5260970.004288
5.8586531.5257380.003843
5.878581.5250770.003477
5.8986441.5246930.003827
5.9188441.5246170.003728
5.9391841.5258290.004178
5.9596641.5262920.004288
5.976841.5265050.003924
5.9975811.5270270.004291
6.0184661.5281290.005337
6.0394971.5285660.005773
6.0571371.5281130.005443
6.078441.5279680.005251
6.0998931.5269830.004337
6.1178841.5258120.003279
6.1396171.5249110.002228
6.1578481.5249260.001475
6.1798661.5262050.002467
6.1983371.5260780.003221
6.2169181.5259980.003615
6.2393621.526780.003978
6.2581861.5244480.002099
6.2771291.5236540.000962
6.2961861.5237380.000467
6.3192071.5255630.00168
6.3385171.5266670.00254
6.357951.526880.002779
6.3775021.5274050.002744
6.3971711.5274450.002275
6.4169651.5263610.002195
6.4368831.5249040.002011
6.4569241.525010.002795
6.4770871.5242880.003428
6.497381.5233630.00247
6.51781.5238630.00217
6.5383451.5240670.002556
6.5590241.5236090.002403
6.5798351.5219970.001594
6.5965761.5202890.001188
6.6176261.5192770.001719
6.6388061.5182560.00267
6.6558531.516330.002344
6.6772791.5142370.001681
6.6988481.5112630.001922
6.7162011.5075460.002438
6.7380221.5008050.004091
6.7599861.4893270.012762
6.7776581.4844630.030554
6.7998811.4941530.056079
6.8177621.512140.070157
6.8357371.5382240.076637
6.8583441.5636470.05565
6.8765391.5642760.033582
6.8994111.5585790.021335
6.9178251.5556910.015991
6.9363331.5532860.012436
6.9596111.5506960.008634
6.9783431.5497530.005616
6.9971761.5503680.004044
7.0161161.5492140.003171
7.0399281.5474340.003381
7.0591011.5460020.003017
7.0783731.5438080.002002
7.0977511.5406740.0
7.117241.538220.0
7.1368321.5379990.0
7.1565311.5394370.001246
7.1763451.5393410.00223
7.1962641.5367640.002222
7.2162931.5339220.003758
7.236441.5328230.007736
7.2566941.5360340.011744
7.2770671.5398440.008855
7.297551.5416730.006129
7.3181481.5421640.005597
7.3388681.5428630.005742
7.35971.5420480.004763
7.3754041.5416870.004172
7.3964441.5437710.005787
7.4176111.5448120.005818
7.4388931.5425210.003312
7.4549371.5417630.001599
7.4764341.5426590.000459
7.4980621.5432280.001465
7.5198091.5413040.001509
7.5362041.541090.00169
7.5581731.5412590.000776
7.5747361.5412240.00119
7.5969371.5391270.0
7.6192621.5386460.0
7.6360941.5384660.0
7.6586511.5385390.0
7.6756631.5396770.000961
7.6984551.5411210.001846
7.7156391.5417890.002312
7.7386681.5420960.002654
7.7560321.5425070.002045
7.779311.5434040.002664
7.7968581.5427940.002084
7.8144841.5414220.0
7.8381091.5399560.0
7.8559221.5399520.0
7.8797981.5405450.0
7.8978021.5417570.0
7.9158891.5420290.0
7.9340581.5412680.0
7.9584191.5399310.0
7.9767841.5392290.0
7.9952351.5398370.0
8.0199671.5401770.0
8.0386181.5393040.0
8.0573551.5386010.0
8.0761811.5388110.000676
8.0950951.5388440.0
8.1140971.5389230.0
8.1395711.5381990.0
8.158791.5375650.0
8.1780861.5374410.0
8.1974871.5379860.0
8.2169671.5394470.0
8.2365541.5405090.0
8.256221.5405550.0
8.2759941.5399780.0
8.295851.5379710.0
8.3158151.5365510.0
8.3358691.5366550.0
8.356021.5369450.0
8.3762691.5363910.0
8.3966161.5354350.0
8.4170621.5354060.0
8.4376081.5357850.0
8.4582551.5369270.0
8.4790031.5377990.0
8.4998531.5408180.0
8.5138051.5418320.0
8.5348261.5415250.0
8.5559521.5387730.0
8.5771831.5379860.0
8.5985191.5388780.0
8.6199611.5401190.0
8.6343181.5401160.0
8.655941.5381570.0
8.6776711.5375790.0
8.699511.5373120.0006
8.7141341.5373380.00042
8.7361581.538912.5e-05
8.7582931.538180.0
8.7731071.5361670.0
8.7954381.5352230.001269
8.8178681.5367990.0
8.8328921.5377770.0
8.8555211.5398840.0
8.8782671.5418890.001505
8.8934981.5423250.003345
8.9164391.54210.005238
8.9394981.5413220.006066
8.9549411.5400540.007372
8.97821.5389380.003008
8.9937681.5379370.002238
9.017231.538950.003197
9.0329421.5397410.003785
9.0566091.5420670.000636
9.0724591.5450320.0
9.0963341.5453720.000448
9.1123151.5445470.0
9.13641.5438330.0
9.1525311.5427840.0
9.1768291.5422360.001003
9.1931031.5426440.00153
9.2176181.5410720.0
9.2340281.5389830.0
9.2587621.5382740.0
9.2753281.538870.0
9.2919531.5408970.0
9.3169991.5428950.0
9.3337651.5425760.0
9.3590371.5392890.0
9.3759641.5372890.002264
9.3929521.5371290.003515
9.4185461.5402970.002666
9.435681.5422140.002827
9.4528861.5415250.002455
9.4788081.5397380.00173
9.4961711.5409450.0
9.5135891.5427390.0
9.5398551.5388810.0
9.5574331.5390740.0
9.5750861.5418950.0
9.5928051.54370.0
9.6195011.5390330.0
9.6373751.5397930.0
9.6553241.539740.0
9.6733411.5388580.0
9.6914161.5388690.001876
9.7186641.5418110.0
9.7369181.542570.000236
9.7552411.5438430.00162
9.7736231.5447310.004308
9.7920851.5419810.002408
9.8199031.539920.00104
9.838541.5406880.004296
9.8572381.5420760.004777
9.8760161.5428760.0
9.8948671.5418070.0
9.913781.5393860.0
9.9327751.5394250.000768
9.9518431.5404998.8e-05
9.9709741.5405650.0
9.999821.5421730.0
10.019151.5434040.002535
10.038551.5437010.00444
10.058011.5426050.007033
10.077571.5413960.005845
10.09721.5387290.001065
10.116891.5381450.0
10.136671.5398440.0
10.156531.5377740.0
10.176461.5375050.0
10.196481.5431080.000619
10.216571.5478750.0
10.236731.5449930.0
10.256991.5410410.0
10.277321.5397470.002258
10.297731.541110.007691
10.318221.543080.007239
10.33881.5426410.005542
10.359451.5422420.005236
10.369821.5415810.005755
10.390591.5414860.005351
10.411461.5430150.005773
10.432411.5429770.005567
10.453441.5425460.002787
10.474561.5451780.001907
10.495771.5462230.001832
10.517061.5436240.003453
10.538431.5413670.002462
10.55991.5420610.0
10.570661.5434030.0
10.592261.5461020.0
10.613941.5457780.002694
10.635711.5446650.001785
10.657571.5416220.0
10.679531.5429130.0
10.690531.5442240.0
10.712631.5457890.00028
10.73481.5473850.001003
10.757071.5434920.004021
10.779441.5406090.001652
10.790651.5405770.000795
10.813161.5433840.004143
10.835751.5456480.007926
10.858451.544640.008263
10.869831.5441510.009699
10.892661.5436960.008415
10.91561.5407360.004631
10.938621.537060.0
10.950181.5367450.0
10.973351.5436240.0
10.996621.547070.002292
11.021.5409180.003686
11.031721.539470.003341
11.055251.5397980.002414
11.078861.5373430.004416
11.090721.5382650.003008
11.114481.5407660.0
11.138361.5420670.002687
11.150341.5416660.004054
11.174371.5424480.006531
11.198511.5463890.008221
11.210611.5464840.010656
11.234911.5416060.009697
11.25931.5411560.008277
11.271541.5444770.007026
11.296091.5512060.00334
11.308421.551150.002924
11.333131.544630.00261
11.357961.5411580.005281
11.370411.5441560.004597
11.39541.5505290.0
11.407931.5517350.0
11.433091.5498030.0
11.458361.5489550.002038
11.471031.5484770.004241
11.496471.5453370.005808
11.509231.5435430.003575
11.534841.5421510.004195
11.547681.5442390.002644
11.573461.5500370.001889
11.599351.5487440.006158
11.612341.5488990.004793
11.638411.548240.002598
11.651481.5479150.006017
11.677731.5457210.008123
11.690891.544860.005681
11.717311.5474750.007728
11.730561.548330.007954
11.757171.5472570.002062
11.770511.5431790.002017
11.797291.5403490.003199
11.810731.5438710.001548
11.83771.5479260.004413
11.851221.5496130.006372
11.878371.5482180.004363
11.891991.5468080.00222
11.919331.545810.002047
11.933051.5456420.004135
11.946791.5450010.005563
11.974381.5444470.004669
11.988221.5444580.007068
12.016011.5429210.008026
12.029941.5428090.009042
12.057931.5420730.008401
12.071961.5424860.005302
12.086041.5492660.007316
12.114271.5505420.007114
12.128451.5521650.005753
12.156871.5558220.003158
12.171151.5559110.002344
12.199781.5495810.00774
12.214161.5471480.007544
12.228561.5434110.002958
12.257471.5356760.0

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
—