Optical constants

Refractive index of MoS2 (Molybdenum disulfide)

Song et al. 2019: 8-layer (8L) film; n,k 0.193–1.69 µm

Data
tabulated nk
Range
0.193–1.69 µm
Points
1084
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.193–1.69 µm
Refractive index n
4.61529
Extinction coefficient k
1.1123
Permittivity ε1
20.0637
Permittivity ε2
10.2672
Absorption coefficient α
237876 cm⁻¹
Penetration depth δ = λ/(2πk)
84.0776 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.875 µm⁻¹
Group index ng
5.71704
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

# MoS2 (Molybdenum disulfide): Song et al. 2019: 8-layer (8L) film; n,k 0.193–1.69 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Song-8L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm)  # (193, 1690) nm
eps = mos2.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

8-layer, 8L

Conditions

film thickness
8L
substrate
c-sapphire

References

B. Song, H. Gu, M. Fang, X. Chen, H. Jiang, R. Wang, T. Zhai, Y.-T. Ho, S. Liu. Layer-dependent dielectric function of wafer-scale 2D MoS2. Adv. Optical Mater. 7, 1801250 (2019) (Numerical data kindly provided by Baokun Song)
  • doi:10.1002/adom.201801250 Layer‐Dependent Dielectric Function of Wafer‐Scale 2D MoS <sub>2</sub>, Advanced Optical Materials (2018)

Cite

Baokun Song et al.. Layer‐Dependent Dielectric Function of Wafer‐Scale 2D MoS <sub>2</sub>. Advanced Optical Materials, 7, 1801250 (2018), doi:10.1002/adom.201801250; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1084 rows as published
MoS2 (Molybdenum disulfide), Song et al. 2019: 8-layer (8L) film; n,k 0.193–1.69 µm: n and k versus wavelength
λ (µm)nk
0.1931.3415842.307148
0.1941.3614052.3156
0.1951.381082.323542
0.1961.4005852.330988
0.1971.4198922.337951
0.1981.4389772.344447
0.1991.4578162.350494
0.21.4763852.356112
0.2011.4946642.361322
0.2021.5126322.366148
0.2031.5302712.370614
0.2041.5475652.374746
0.2051.5644982.378574
0.2061.5810582.382124
0.2071.5972352.385427
0.2081.6130222.388513
0.2091.6284112.391413
0.211.6434012.394159
0.2111.657992.396782
0.2121.6721792.399313
0.2131.6859742.401784
0.2141.6993792.404225
0.2151.7124042.406665
0.2161.725062.409135
0.2171.737362.411662
0.2181.7493192.414272
0.2191.7609542.416992
0.221.7722842.419845
0.2211.7833292.422854
0.2221.7941122.426039
0.2231.8046572.429418
0.2241.8149872.433009
0.2251.8251292.436826
0.2261.8351092.440881
0.2271.8449552.445186
0.2281.8546942.449749
0.2291.8643562.454575
0.231.8739692.459668
0.2311.8835612.465031
0.2321.893162.470663
0.2331.9027972.476562
0.2341.9124982.482722
0.2351.922292.489138
0.2361.9322022.495801
0.2371.9422592.5027
0.2381.9524852.509823
0.2391.9629062.517156
0.241.9735452.524682
0.2411.9844232.532385
0.2421.9955612.540246
0.2432.0069772.548244
0.2442.0186912.556356
0.2452.0307172.564562
0.2462.043072.572835
0.2472.0557632.581151
0.2482.0688082.589485
0.2492.0822122.597809
0.252.0959842.606096
0.2512.1101292.614318
0.2522.1246512.622446
0.2532.139552.630451
0.2542.1548282.638305
0.2552.1704812.645978
0.2562.1865052.653441
0.2572.2028942.660666
0.2582.2196392.667623
0.2592.236732.674285
0.262.2541542.680624
0.2612.2718982.686613
0.2622.2899452.692226
0.2632.3082782.697437
0.2642.3268752.702223
0.2652.3457172.706561
0.2662.3647792.710429
0.2672.3840372.713807
0.2682.4034652.716676
0.2692.4230342.719019
0.272.4427172.720822
0.2712.4624812.72207
0.2722.4822982.722753
0.2732.5021342.722862
0.2742.5219572.722388
0.2752.5417342.721328
0.2762.5614292.719677
0.2772.581012.717436
0.2782.6004432.714606
0.2792.6196922.711191
0.282.6387242.707198
0.2812.6575062.702634
0.2822.6760042.69751
0.2832.6941862.691839
0.2842.7120212.685635
0.2852.7294772.678915
0.2862.7465272.671698
0.2872.763142.664004
0.2882.7792922.655856
0.2892.7949562.647276
0.292.8101092.638291
0.2912.8247292.628925
0.2922.8387952.619208
0.2932.8522892.609167
0.2942.8651942.598831
0.2952.8774952.588232
0.2962.889182.577399
0.2972.9002362.566365
0.2982.9106552.55516
0.2992.9204292.543816
0.32.9295522.532366
0.3012.938022.52084
0.3022.945832.509271
0.3032.9529832.49769
0.3042.9594782.486129
0.3052.9653172.474617
0.3062.9705062.463185
0.3072.9750482.451864
0.3082.9789512.440681
0.3092.982222.429666
0.312.9848672.418846
0.3112.9868992.408248
0.3122.9883282.3979
0.3132.9891652.387825
0.3142.9894232.37805
0.3152.9891152.368599
0.3162.9882552.359495
0.3172.9868582.35076
0.3182.9849392.342418
0.3192.9825132.334488
0.322.9795982.326993
0.3212.976212.319952
0.3222.9723662.313384
0.3232.9680842.307309
0.3242.9633832.301745
0.3252.9582812.296709
0.3262.9527982.292219
0.3272.9469522.288291
0.3282.9407642.284943
0.3292.9342552.28219
0.332.9274442.280046
0.3312.9203542.278529
0.3322.9130072.277652
0.3332.9054252.277428
0.3342.897632.277874
0.3352.8896472.279001
0.3362.8814992.280824
0.3372.8732112.283355
0.3382.8648092.286605
0.3392.856322.290588
0.342.847772.295315
0.3412.8391872.300796
0.3422.8306012.307042
0.3432.8220412.314063
0.3442.8135372.321867
0.3452.8051222.330463
0.3462.7968292.339859
0.3472.788692.350062
0.3482.7807432.361076
0.3492.7730222.372906
0.352.7655652.385557
0.3512.7584112.399029
0.3522.7515992.413323
0.3532.745172.428439
0.3542.7391672.444373
0.3552.7336332.461121
0.3562.7286112.478675
0.3572.7241482.497028
0.3582.720292.516168
0.3592.7170842.536081
0.362.7145772.55675
0.3612.712822.578155
0.3622.7118612.600274
0.3632.711752.623082
0.3642.7125372.646547
0.3652.7142712.670637
0.3662.7170032.695315
0.3672.7207822.720538
0.3682.7256552.746262
0.3692.731672.772434
0.372.7388722.799001
0.3712.7473042.825903
0.3722.7570082.853073
0.3732.768022.880442
0.3742.7803752.907935
0.3752.7941012.935471
0.3762.8092222.962965
0.3772.8257562.990326
0.3782.8437153.01746
0.3792.8631023.044268
0.382.8839113.070648
0.3812.9061273.096496
0.3822.9297273.121704
0.3832.9546723.146166
0.3842.9809163.169776
0.3853.0083973.192429
0.3863.0370443.214025
0.3873.0667713.234471
0.3883.097483.253681
0.3893.1290623.271578
0.393.1613973.288098
0.3913.1943573.303192
0.3923.2278063.316824
0.3933.2616013.328978
0.3943.2956013.339655
0.3953.3296613.348875
0.3963.3636423.356678
0.3973.3974133.363122
0.3983.4308483.368283
0.3993.4638393.372253
0.43.496293.375138
0.4013.5281223.377056
0.4023.5592783.378132
0.4033.5897193.378497
0.4043.6194253.378284
0.4053.6483983.377622
0.4063.6766583.37664
0.4073.7042463.375455
0.4083.7312153.374176
0.4093.7576343.372899
0.413.7835843.371707
0.4113.8091553.370667
0.4123.8344433.369832
0.4133.8595483.369236
0.4143.8845743.368901
0.4153.9096213.368829
0.4163.9347893.369012
0.4173.9601713.369425
0.4183.9858583.370032
0.4194.011933.370785
0.424.038463.371628
0.4214.0655123.372493
0.4224.093143.373307
0.4234.1213873.373993
0.4244.1502893.374468
0.4254.1798663.374645
0.4264.2101323.374437
0.4274.2410883.373756
0.4284.2727273.372514
0.4294.3050293.370626
0.434.3379683.368009
0.4314.3715093.364581
0.4324.4056063.360269
0.4334.4402083.355001
0.4344.4752563.348712
0.4354.5106863.341343
0.4364.5464263.332843
0.4374.5824023.323165
0.4384.6185353.312273
0.4394.6547423.300136
0.444.6909383.286732
0.4414.7270383.272047
0.4424.7629553.256074
0.4434.7986013.238816
0.4444.8338913.22028
0.4454.8687413.200484
0.4464.9030683.179451
0.4474.9367923.157212
0.4484.9698413.133805
0.4495.0021393.109272
0.455.0336223.083661
0.4515.0642273.057025
0.4525.0938963.029423
0.4535.1225813.000913
0.4545.1502332.971561
0.4555.1768152.941432
0.4565.2022912.910594
0.4575.2266362.879117
0.4585.2498262.84707
0.4595.2718452.814523
0.465.2926832.781543
0.4615.3123342.748201
0.4625.3307962.714563
0.4635.3480762.680693
0.4645.364182.646654
0.4655.3791222.612508
0.4665.3929172.578312
0.4675.4055852.544121
0.4685.4171482.509987
0.4695.4276312.47596
0.475.4370612.442085
0.4715.4454672.408406
0.4725.4528812.374962
0.4735.4593332.341789
0.4745.4648562.308922
0.4755.4694852.27639
0.4765.4732532.244221
0.4775.4761942.21244
0.4785.4783432.181069
0.4795.4797342.150128
0.485.4804022.119632
0.4815.4803792.089598
0.4825.4796992.060037
0.4835.4783942.03096
0.4845.4764952.002376
0.4855.4740331.97429
0.4865.4710391.94671
0.4875.4675421.919638
0.4885.4635681.893076
0.4895.4591451.867026
0.495.45431.841487
0.4915.4490571.816459
0.4925.443441.791939
0.4935.4374721.767925
0.4945.4311751.744412
0.4955.424571.721398
0.4965.4176771.698876
0.4975.4105141.676841
0.4985.4031011.655289
0.4995.3954541.634212
0.55.3875891.613605
0.5015.3795211.59346
0.5025.3712661.57377
0.5035.3628371.55453
0.5045.3542471.53573
0.5055.3455091.517365
0.5065.3366331.499426
0.5075.3276311.481907
0.5085.3185131.4648
0.5095.3092891.448098
0.515.2999691.431794
0.5115.2905591.41588
0.5125.2810681.400349
0.5135.2715041.385194
0.5145.2618751.370409
0.5155.2521851.355987
0.5165.2424421.341921
0.5175.232651.328205
0.5185.2228161.314833
0.5195.2129451.301798
0.525.203041.289095
0.5215.1931071.276718
0.5225.1831481.264662
0.5235.1731691.252921
0.5245.1631721.24149
0.5255.153161.230365
0.5265.1431361.219541
0.5275.1331041.209013
0.5285.1230651.198778
0.5295.1130211.18883
0.535.1029761.179168
0.5315.092931.169786
0.5325.0828871.160683
0.5335.0728461.151854
0.5345.0628111.143297
0.5355.0527821.13501
0.5365.0427611.126991
0.5375.0327491.119236
0.5385.0227471.111746
0.5395.0127561.104517
0.545.0027791.097549
0.5414.9928151.090842
0.5424.9828651.084393
0.5434.9729321.078204
0.5444.9630151.072273
0.5454.9531171.066601
0.5464.9432381.061188
0.5474.933381.056036
0.5484.9235431.051145
0.5494.913731.046516
0.554.9039431.042152
0.5514.8941821.038054
0.5524.884451.034225
0.5534.8747491.030667
0.5544.8650811.027384
0.5554.855451.024378
0.5564.8458581.021654
0.5574.8363091.019215
0.5584.8268061.017065
0.5594.8173531.015211
0.564.8079551.013656
0.5614.7986181.012406
0.5624.7893471.011466
0.5634.7801481.010844
0.5644.7710291.010544
0.5654.7619961.010574
0.5664.753061.01094
0.5674.744231.01165
0.5684.7355161.01271
0.5694.726931.014128
0.574.7184851.015912
0.5714.7101951.018068
0.5724.7020751.020604
0.5734.6941431.023527
0.5744.6864161.026844
0.5754.6789161.03056
0.5764.6716631.034682
0.5774.6646811.039213
0.5784.6579971.044158
0.5794.6516381.049518
0.584.6456321.055296
0.5814.6400131.061489
0.5824.6348131.068095
0.5834.6300681.075107
0.5844.6258161.082517
0.5854.6220961.090313
0.5864.6189481.098479
0.5874.6164161.106995
0.5884.6145411.115836
0.5894.6133691.124973
0.594.6129421.13437
0.5914.6133041.143985
0.5924.6144951.153771
0.5934.6165561.163674
0.5944.6195231.173633
0.5954.6234261.183579
0.5964.6282941.193439
0.5974.6341441.203133
0.5984.640991.212573
0.5994.6488351.22167
0.64.657671.230328
0.6014.6674781.23845
0.6024.6782291.245937
0.6034.6898791.252692
0.6044.7023731.258619
0.6054.7156421.263627
0.6064.7296061.267632
0.6074.744171.27056
0.6084.7592321.272345
0.6094.7746791.272935
0.614.7903911.272292
0.6114.8062431.270392
0.6124.822111.26723
0.6134.8378621.262812
0.6144.8533741.257164
0.6154.8685281.250325
0.6164.8832081.24235
0.6174.8973111.233305
0.6184.9107421.223267
0.6194.9234191.212324
0.624.9352711.200569
0.6214.9462431.1881
0.6224.956291.175021
0.6234.9653791.161432
0.6244.9734931.147437
0.6254.9806221.133134
0.6264.9867691.118621
0.6274.9919451.103989
0.6284.9961681.089325
0.6294.9994641.07471
0.635.0018641.06022
0.6315.0034051.045924
0.6325.0041231.031886
0.6335.0040611.018165
0.6345.0032621.004814
0.6355.001770.991881
0.6364.999630.979412
0.6374.9968860.967449
0.6384.9935850.956031
0.6394.989770.945196
0.644.9854890.93498
0.6414.9807860.925419
0.6424.9757080.91655
0.6434.9703050.908411
0.6444.9646280.901043
0.6454.9587310.894488
0.6464.9526760.888791
0.6474.9465320.884002
0.6484.9403780.880175
0.6494.9343050.877365
0.654.9284240.875632
0.6514.9228680.875035
0.6524.9177990.875631
0.6534.9134130.877465
0.6544.9099510.880567
0.6554.9077070.884932
0.6564.9070340.890501
0.6574.9083490.89713
0.6584.9121330.904537
0.6594.9189060.912242
0.664.9291780.919466
0.6614.9433130.924998
0.6624.9612480.927036
0.6634.981840.923041
0.6645.0013220.909928
0.6655.0084550.886006
0.6664.9965220.889575
0.6675.0100930.897442
0.6685.0309390.898112
0.6695.0546520.891672
0.675.0784790.878522
0.6715.1003830.859527
0.6725.118940.835917
0.6735.1333250.809091
0.6745.143240.780424
0.6755.1488030.75112
0.6765.1504080.722137
0.6775.1485940.694168
0.6785.1439520.667666
0.6795.1370520.642887
0.685.1284110.619938
0.6815.1184720.598825
0.6825.1076010.579481
0.6835.0960960.561804
0.6845.0841890.545667
0.6855.0720640.530939
0.6865.059860.517486
0.6875.0476820.505185
0.6885.0356060.493916
0.6895.023690.483573
0.695.0119730.47406
0.6915.0004830.465289
0.6924.9892370.457184
0.6934.9782470.449676
0.6944.9675170.442704
0.6954.9570480.436215
0.6964.9468380.43016
0.6974.9368840.424499
0.6984.9271790.419192
0.6994.9177170.414209
0.74.9084910.409518
0.7014.8994920.405095
0.7024.8907130.400915
0.7034.8821460.396959
0.7044.8737840.393208
0.7054.8656170.389644
0.7064.8576390.386254
0.7074.8498430.383024
0.7084.842220.379941
0.7094.8347650.376996
0.714.8274710.374178
0.7114.8203320.371477
0.7124.8133420.368887
0.7134.8064940.3664
0.7144.7997850.364008
0.7154.7932080.361707
0.7164.7867590.35949
0.7174.7804330.357351
0.7184.7742260.355287
0.7194.7681330.353293
0.724.762150.351365
0.7214.7562750.3495
0.7224.7505020.347693
0.7234.7448290.345942
0.7244.7392530.344244
0.7254.7337690.342595
0.7264.7283760.340995
0.7274.7230710.339439
0.7284.717850.337927
0.7294.712710.336455
0.734.7076510.335023
0.7314.7026690.333628
0.7324.6977620.332268
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0.7814.5193950.290396
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0.794.4953780.285593
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0.7924.490290.284594
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0.7944.4852860.283618
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0.7964.4803650.282663
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0.7984.4755240.28173
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0.8274.4130470.270121
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0.8464.3784550.264001
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0.854.3716890.262826
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0.864.3554720.260041
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0.8634.350790.259244
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0.874.340170.257449
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0.8744.3342860.256462
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0.9114.2853230.248447
0.9124.284120.248254
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0.924.2746970.246756
0.9214.2735430.246573
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0.9254.2689810.245854
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0.9274.266730.2455
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0.9314.2622880.244804
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0.9354.2579240.244124
0.9364.2568440.243957
0.9374.2557690.24379
0.9384.2546990.243624
0.9394.2536330.243459
0.944.2525730.243295
0.9414.2515160.243132
0.9424.2504640.24297
0.9434.2494160.242808
0.9444.2483740.242648
0.9454.2473340.242488
0.9464.24630.24233
0.9474.245270.242172
0.9484.2442440.242015
0.9494.2432220.241858
0.954.2422050.241703
0.9514.2411910.241549
0.9524.2401820.241395
0.9534.2391770.241242
0.9544.2381760.24109
0.9554.2371790.240939
0.9564.2361860.240788
0.9574.2351970.240639
0.9584.2342120.24049
0.9594.2332310.240342
0.964.2322540.240194
0.9614.231280.240048
0.9624.2303110.239902
0.9634.2293450.239757
0.9644.2283830.239613
0.9654.2274250.239469
0.9664.226470.239327
0.9674.225520.239185
0.9684.2245730.239043
0.9694.2236290.238903
0.974.222690.238763
0.9714.2217540.238624
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0.9734.2198920.238348
0.9744.2189660.238211
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0.9864.2081260.236622
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0.994.2046180.236113
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0.9924.2028820.235863
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0.9944.2011590.235615
0.9954.2003020.235492
0.9964.1994480.235369
0.9974.1985970.235247
0.9984.1977490.235126
0.9994.1969040.235006
1.04.1960620.234886
1.00254.1939690.234588
1.0054.1918950.234295
1.00754.1898370.234005
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1.01254.1857760.233435
1.0154.183770.233156
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1.024.1798080.232607
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1.04754.1591080.229818
1.054.1573110.229583
1.05254.1555280.22935
1.0554.1537580.229121
1.05754.1520.228894
1.064.1502560.228669
1.06254.1485230.228448
1.0654.1468030.228229
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1.124.111730.224034
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1.34.0216740.216433
1.30254.0205980.216377
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1.314.017390.216217
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1.3154.0152670.216115
1.31754.0142110.216066
1.324.0131580.216018
1.32254.0121080.215971
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1.32754.0100170.21588
1.334.0089760.215836
1.33254.0079380.215793
1.3354.0069040.215751
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1.354.0007530.215521
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1.363.9967080.215388
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1.373.9927030.21527
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1.383.9887370.215166
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1.40753.9780160.214956
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1.423.9732250.214895
1.42253.9722730.214885
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1.42753.9703740.214868
1.433.9694270.214861
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1.43753.9665970.214844
1.443.9656570.21484
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1.683.8806150.217584
1.68253.8797610.21764
1.6853.8789060.217698
1.68753.8780520.217755
1.693.8771980.217813

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
—