Optical constants

Refractive index of WS2 (Tungsten disulfide)

Vyshnevyy et al. 2023: n,k(o) 0.36–1.70 µm

Data
tabulated nk
Range
0.36–1.7 µm
Points
1341
Optical axis
o
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.36–1.7 µm
Refractive index n
4.53334
Extinction coefficient k
0.486496
Permittivity ε1
20.3145
Permittivity ε2
4.4109
Absorption coefficient α
104042 cm⁻¹
Penetration depth δ = λ/(2πk)
192.231 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-10.1 µm⁻¹
Group index ng
10.4681
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

# WS2 (Tungsten disulfide): Vyshnevyy et al. 2023: n,k(o) 0.36–1.70 µm
ws2 = ls.fetch_refractiveindex("main", "WS2", "Vyshnevyy-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ws2.range_nm)  # (360, 1700) nm
eps = ws2.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

Bulk WS2. Ordinary ray (o).

Conditions

direction
o

References

A. A. Vyshnevyy, G. A. Ermolaev, D. V. Grudinin, K. V. Voronin, I. Kharichkin, A. Mazitov, I. A. Kruglov, D. I. Yakubovky, P. Mishra, R. V. Kirtaev, A. V. Arsenin, K. S. Novoselov, L. Martin-Moreno, V. S. Volkov. Van der Waals Materials for overcoming fundamental limitations in photonic integrated circuitry, Nano Lett., 23, 8057–8064 (2023) (Numerical data kindly provided by Georgy Ermolaev)

Cite

A. A. Vyshnevyy, G. A. Ermolaev, D. V. Grudinin, K. V. Voronin, I. Kharichkin, A. Mazitov, I. A. Kruglov, D. I. Yakubovky, P. Mishra, R. V. Kirtaev, A. V. Arsenin, K. S. Novoselov, L. Martin-Moreno, V. S. Volkov. Van der Waals Materials for overcoming fundamental limitations in photonic integrated circuitry, Nano Lett., 23, 8057–8064 (2023) (Numerical data kindly provided by Georgy Ermolaev); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1341 rows as published
WS2 (Tungsten disulfide), Vyshnevyy et al. 2023: n,k(o) 0.36–1.70 µm: n and k versus wavelength
λ (µm)nk
0.363.130522.00536
0.3613.138462.02574
0.3623.146982.04574
0.3633.156052.06537
0.3643.165662.08462
0.3653.175792.10348
0.3663.186432.12194
0.3673.197562.13999
0.3683.209162.15764
0.3693.221212.17486
0.373.23372.19167
0.3713.246622.20805
0.3723.259942.224
0.3733.273662.23951
0.3743.287752.25459
0.3753.30222.26922
0.3763.316982.2834
0.3773.33212.29713
0.3783.347522.3104
0.3793.363242.32323
0.383.379222.33559
0.3813.395472.3475
0.3823.411962.35894
0.3833.428682.36992
0.3843.44562.38045
0.3853.462722.39051
0.3863.480012.40011
0.3873.497452.40926
0.3883.515042.41795
0.3893.532742.42618
0.393.550562.43397
0.3913.568462.44131
0.3923.586432.44821
0.3933.604462.45467
0.3943.622522.46071
0.3953.64062.46632
0.3963.658692.47151
0.3973.676752.4763
0.3983.694792.4807
0.3993.712782.4847
0.43.730712.48834
0.4013.748552.49161
0.4023.76632.49453
0.4033.783932.49712
0.4043.801442.49939
0.4053.81882.50137
0.4063.836012.50306
0.4073.853052.50449
0.4083.869912.50567
0.4093.886582.50664
0.413.903042.50742
0.4113.919282.50803
0.4123.93532.5085
0.4133.951092.50885
0.4143.966642.50913
0.4153.981942.50936
0.4163.9972.50958
0.4174.011822.50982
0.4184.026392.51013
0.4194.040722.51055
0.424.054822.51111
0.4214.06872.51188
0.4224.082382.51289
0.4234.095862.51419
0.4244.109192.51585
0.4254.122382.51792
0.4264.135492.52046
0.4274.148542.52353
0.4284.16162.52719
0.4294.174722.53151
0.434.1882.53655
0.4314.20152.54239
0.4324.215342.54908
0.4334.229632.55669
0.4344.24452.56527
0.4354.260132.57487
0.4364.276682.58554
0.4374.294372.5973
0.4384.313412.61015
0.4394.334062.62407
0.444.356612.639
0.4414.381352.65485
0.4424.408632.67146
0.4434.438772.68862
0.4444.472132.70602
0.4454.509042.7233
0.4464.549822.73997
0.4474.594722.75546
0.4484.643932.76907
0.4494.69752.78002
0.454.755352.78744
0.4514.81722.79042
0.4524.882552.78805
0.4534.950662.77945
0.4545.020592.76391
0.4555.091162.74088
0.4565.161052.7101
0.4575.228872.67163
0.4585.293252.62584
0.4595.352952.57343
0.465.406932.51538
0.4615.454432.45284
0.4625.494982.38706
0.4635.528442.31931
0.4645.554922.25078
0.4655.574772.18253
0.4665.58852.11543
0.4675.596732.0502
0.4685.600111.98735
0.4695.599321.92723
0.475.5951.87006
0.4715.587741.81594
0.4725.57811.76487
0.4735.566521.71679
0.4745.553441.6716
0.4755.539181.62915
0.4765.524051.58929
0.4775.508271.55184
0.4785.492041.51665
0.4795.475531.48354
0.485.458851.45237
0.4815.44211.42297
0.4825.425371.39522
0.4835.40871.36899
0.4845.392151.34415
0.4855.375731.32061
0.4865.359471.29828
0.4875.343391.27705
0.4885.327491.25687
0.4895.311761.23766
0.495.296211.21937
0.4915.280821.20195
0.4925.265591.18535
0.4935.25051.16954
0.4945.235541.15449
0.4955.22071.14018
0.4965.205951.1266
0.4975.191271.11374
0.4985.176661.10161
0.4995.162091.09022
0.55.147551.07959
0.5015.133021.06975
0.5025.11851.06075
0.5035.103961.05265
0.5045.089421.04553
0.5055.074881.03948
0.5065.060361.03463
0.5075.045931.03113
0.5085.031661.02918
0.5095.01771.02899
0.515.004251.03083
0.5114.991641.035
0.5124.980371.04179
0.5134.971131.05149
0.5144.964911.06426
0.5154.963051.07995
0.5164.967171.09792
0.5174.979041.1166
0.5185.000021.13329
0.5195.030251.14415
0.525.067721.14496
0.5215.108031.13265
0.5225.145411.10689
0.5235.17481.07042
0.5245.193531.02787
0.5255.20160.98386
0.5265.200720.94175
0.5275.193240.90338
0.5285.181370.86939
0.5295.166830.83971
0.535.150860.81389
0.5315.134280.79139
0.5325.117590.77167
0.5335.101120.75424
0.5345.085040.73871
0.5355.069430.72473
0.5365.054330.71203
0.5375.039740.70041
0.5385.025650.68968
0.5395.012030.67971
0.544.998850.67037
0.5414.986070.66159
0.5424.973670.65329
0.5434.961620.64541
0.5444.949880.6379
0.5454.938420.63072
0.5464.927230.62383
0.5474.916280.61722
0.5484.905550.61085
0.5494.895010.6047
0.554.884660.59876
0.5514.874470.59302
0.5524.864440.58747
0.5534.854540.58208
0.5544.844760.57687
0.5554.835110.57181
0.5564.825550.56691
0.5574.816080.56215
0.5584.80670.55754
0.5594.79740.55307
0.564.788160.54874
0.5614.778980.54454
0.5624.769850.54047
0.5634.760770.53654
0.5644.751720.53274
0.5654.742710.52907
0.5664.733710.52554
0.5674.724740.52213
0.5684.715780.51886
0.5694.706830.51572
0.574.697870.51272
0.5714.688910.50985
0.5724.679930.50713
0.5734.670940.50455
0.5744.661930.50211
0.5754.652880.49983
0.5764.643790.49769
0.5774.634670.49572
0.5784.625490.49392
0.5794.616250.49228
0.584.606950.49082
0.5814.597580.48955
0.5824.588130.48846
0.5834.57860.48758
0.5844.568960.48692
0.5854.559230.48647
0.5864.549370.48627
0.5874.53940.48631
0.5884.52930.48662
0.5894.519050.48721
0.594.508640.48811
0.5914.498070.48933
0.5924.487330.49089
0.5934.476390.49283
0.5944.465250.49517
0.5954.45390.49796
0.5964.442310.50121
0.5974.430480.50499
0.5984.418390.50933
0.5994.406020.5143
0.64.393370.51995
0.6014.380410.52635
0.6024.367140.53359
0.6034.353540.54175
0.6044.339620.55095
0.6054.325350.56131
0.6064.310760.57296
0.6074.295840.58606
0.6084.280620.60081
0.6094.265150.61742
0.614.249490.63614
0.6114.233730.65726
0.6124.218010.68112
0.6134.202540.70809
0.6144.18760.73861
0.6154.173570.77317
0.6164.160990.81232
0.6174.150590.85662
0.6184.143350.90667
0.6194.140580.96298
0.624.143991.02595
0.6214.155771.09565
0.6224.178591.17163
0.6234.215591.25258
0.6244.270141.33598
0.6254.345411.41768
0.6264.443561.49165
0.6274.564721.55018
0.6284.705761.58462
0.6294.859521.58712
0.635.01511.55294
0.6315.159731.48244
0.6325.281851.38177
0.6335.374031.26124
0.6345.434231.13239
0.6355.465081.00521
0.6365.471910.88662
0.6375.460820.78033
0.6385.437440.68758
0.6395.406280.60802
0.645.370740.54047
0.6415.333180.4834
0.6425.29520.43527
0.6435.257810.39465
0.6445.221630.36028
0.6455.1870.3311
0.6465.154080.30623
0.6475.122950.28492
0.6485.093560.26659
0.6495.065880.25072
0.655.039790.23693
0.6515.015220.22488
0.6524.992050.21429
0.6534.97020.20495
0.6544.949550.19666
0.6554.930010.18927
0.6564.911510.18266
0.6574.893960.17671
0.6584.877290.17134
0.6594.861430.16646
0.664.846320.16202
0.6614.83190.15795
0.6624.818130.15422
0.6634.804950.15077
0.6644.792330.14759
0.6654.780220.14462
0.6664.768590.14187
0.6674.757410.13928
0.6684.746640.13686
0.6694.736270.13459
0.674.726260.13244
0.6714.716590.1304
0.6724.707250.12847
0.6734.698210.12663
0.6744.689460.12488
0.6754.680980.12321
0.6764.672750.1216
0.6774.664770.12006
0.6784.657010.11858
0.6794.649470.11716
0.684.642140.11578
0.6814.6350.11445
0.6824.628060.11316
0.6834.621290.11191
0.6844.61470.1107
0.6854.608290.10952
0.6864.602050.10836
0.6874.595960.10721
0.6884.590010.10606
0.6894.584190.10492
0.694.578490.10379
0.6914.572910.10267
0.6924.567440.10156
0.6934.562070.10045
0.6944.55680.09935
0.6954.551630.09826
0.6964.546550.09718
0.6974.541550.0961
0.6984.536640.09504
0.6994.531810.09398
0.74.527050.09293
0.7014.522370.09189
0.7024.517750.09086
0.7034.513210.08983
0.7044.508730.08882
0.7054.504310.08781
0.7064.499960.08681
0.7074.495660.08582
0.7084.491420.08484
0.7094.487240.08387
0.714.483110.0829
0.7114.479030.08194
0.7124.4750.08099
0.7134.471020.08005
0.7144.467090.07912
0.7154.46320.07819
0.7164.459360.07728
0.7174.455570.07637
0.7184.451810.07546
0.7194.44810.07457
0.724.444420.07368
0.7214.440790.07281
0.7224.437190.07194
0.7234.433630.07107
0.7244.430110.07022
0.7254.426630.06937
0.7264.423170.06853
0.7274.419750.0677
0.7284.416370.06687
0.7294.413020.06606
0.734.40970.06525
0.7314.406410.06444
0.7324.403150.06365
0.7334.399910.06286
0.7344.396710.06208
0.7354.393540.0613
0.7364.39040.06054
0.7374.387280.05978
0.7384.384190.05902
0.7394.381120.05828
0.744.378080.05754
0.7414.375070.0568
0.7424.372080.05608
0.7434.369120.05536
0.7444.366180.05465
0.7454.363260.05394
0.7464.360370.05324
0.7474.35750.05255
0.7484.354650.05186
0.7494.351820.05118
0.754.349020.05051
0.7514.346240.04984
0.7524.343470.04918
0.7534.340730.04853
0.7544.338010.04788
0.7554.335310.04724
0.7564.332630.0466
0.7574.329970.04597
0.7584.327320.04535
0.7594.32470.04473
0.764.322090.04412
0.7614.31950.04351
0.7624.316930.04291
0.7634.314380.04232
0.7644.311850.04173
0.7654.309330.04115
0.7664.306830.04057
0.7674.304350.04
0.7684.301880.03943
0.7694.299430.03887
0.774.296990.03832
0.7714.294570.03777
0.7724.292170.03722
0.7734.289780.03668
0.7744.287410.03615
0.7754.285060.03562
0.7764.282710.0351
0.7774.280390.03458
0.7784.278070.03407
0.7794.275780.03356
0.784.273490.03306
0.7814.271220.03256
0.7824.268970.03207
0.7834.266720.03159
0.7844.26450.0311
0.7854.262280.03063
0.7864.260080.03015
0.7874.257890.02969
0.7884.255720.02923
0.7894.253550.02877
0.794.25140.02832
0.7914.249270.02787
0.7924.247140.02742
0.7934.245030.02699
0.7944.242930.02655
0.7954.240840.02612
0.7964.238770.0257
0.7974.23670.02528
0.7984.234650.02486
0.7994.232610.02445
0.84.230580.02404
0.8014.228560.02364
0.8024.226560.02324
0.8034.224560.02285
0.8044.222580.02246
0.8054.22060.02208
0.8064.218640.0217
0.8074.216690.02132
0.8084.214750.02095
0.8094.212820.02058
0.814.21090.02022
0.8114.208990.01986
0.8124.207090.0195
0.8134.20520.01915
0.8144.203320.0188
0.8154.201460.01846
0.8164.19960.01812
0.8174.197750.01778
0.8184.195910.01745
0.8194.194080.01712
0.824.192260.0168
0.8214.190450.01648
0.8224.188650.01616
0.8234.186860.01585
0.8244.185080.01554
0.8254.18330.01524
0.8264.181540.01493
0.8274.179790.01464
0.8284.178040.01434
0.8294.176310.01405
0.834.174580.01377
0.8314.172860.01348
0.8324.171150.0132
0.8334.169450.01293
0.8344.167760.01266
0.8354.166070.01239
0.8364.16440.01212
0.8374.162730.01186
0.8384.161070.0116
0.8394.159420.01135
0.844.157780.0111
0.8414.156150.01085
0.8424.154520.0106
0.8434.15290.01036
0.8444.15130.01012
0.8454.149690.00989
0.8464.14810.00966
0.8474.146520.00943
0.8484.144940.0092
0.8494.143370.00898
0.854.141810.00876
0.8514.140250.00855
0.8524.138710.00833
0.8534.137170.00812
0.8544.135640.00792
0.8554.134110.00771
0.8564.132590.00751
0.8574.131090.00732
0.8584.129580.00712
0.8594.128090.00693
0.864.12660.00674
0.8614.125120.00656
0.8624.123650.00638
0.8634.122180.0062
0.8644.120730.00602
0.8654.119270.00585
0.8664.117830.00568
0.8674.116390.00551
0.8684.114960.00535
0.8694.113540.00518
0.874.112120.00502
0.8714.110710.00487
0.8724.109310.00471
0.8734.107910.00456
0.8744.106520.00442
0.8754.105140.00427
0.8764.103760.00413
0.8774.10240.00399
0.8784.101030.00385
0.8794.099680.00372
0.884.098330.00358
0.8814.096980.00346
0.8824.095650.00333
0.8834.094320.0032
0.8844.092990.00308
0.8854.091670.00296
0.8864.090360.00285
0.8874.089060.00273
0.8884.087760.00262
0.8894.086470.00251
0.894.085180.00241
0.8914.08390.0023
0.8924.082630.0022
0.8934.081360.0021
0.8944.08010.00201
0.8954.078850.00191
0.8964.07760.00182
0.8974.076350.00173
0.8984.075120.00165
0.8994.073890.00156
0.94.072660.00148
0.9014.071440.0014
0.9024.070230.00132
0.9034.069020.00125
0.9044.067820.00118
0.9054.066630.00111
0.9064.065440.00104
0.9074.064260.000973563
0.9084.063080.000910127
0.9094.061910.00084894
0.914.060740.00078999
0.9114.059580.000733263
0.9124.058430.000678749
0.9134.057280.000626435
0.9144.056140.000576309
0.9154.0550.000528359
0.9164.053870.000482573
0.9174.052750.00043894
0.9184.051630.000397448
0.9194.050520.000358085
0.924.049410.00032084
0.9214.048310.000285701
0.9224.047210.000252658
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1.623.788850.0
1.6213.788730.0
1.6223.788610.0
1.6233.788480.0
1.6243.788360.0
1.6253.788240.0
1.6263.788110.0
1.6273.787990.0
1.6283.787870.0
1.6293.787750.0
1.633.787620.0
1.6313.78750.0
1.6323.787380.0
1.6333.787260.0
1.6343.787140.0
1.6353.787020.0
1.6363.78690.0
1.6373.786780.0
1.6383.786660.0
1.6393.786540.0
1.643.786420.0
1.6413.78630.0
1.6423.786180.0
1.6433.786060.0
1.6443.785950.0
1.6453.785830.0
1.6463.785710.0
1.6473.785590.0
1.6483.785480.0
1.6493.785360.0
1.653.785240.0
1.6513.785130.0
1.6523.785010.0
1.6533.784890.0
1.6543.784780.0
1.6553.784660.0
1.6563.784550.0
1.6573.784430.0
1.6583.784320.0
1.6593.78420.0
1.663.784090.0
1.6613.783970.0
1.6623.783860.0
1.6633.783740.0
1.6643.783630.0
1.6653.783520.0
1.6663.78340.0
1.6673.783290.0
1.6683.783180.0
1.6693.783060.0
1.673.782950.0
1.6713.782840.0
1.6723.782730.0
1.6733.782620.0
1.6743.782510.0
1.6753.782390.0
1.6763.782280.0
1.6773.782170.0
1.6783.782060.0
1.6793.781950.0
1.683.781840.0
1.6813.781730.0
1.6823.781620.0
1.6833.781510.0
1.6843.78140.0
1.6853.781290.0
1.6863.781180.0
1.6873.781080.0
1.6883.780970.0
1.6893.780860.0
1.693.780750.0
1.6913.780640.0
1.6923.780540.0
1.6933.780430.0
1.6943.780320.0
1.6953.780210.0
1.6963.780110.0
1.6973.780.0
1.6983.779890.0
1.6993.779790.0
1.73.779680.0

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
—