Optical constants

Refractive index of Bombyx mori (silkworm) silk

Perotto et al. 2017: Uncrystallized fibroin film; n 0.3–1.7 µm

Data
formula 5 + tabulated k
Range
0.3–1.7 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–1.7 µm
Refractive index n
1.54603
Extinction coefficient k
5.84471e-05
Permittivity ε1
2.39021
Permittivity ε2
0.000180722
Absorption coefficient α
12.4994 cm⁻¹
Penetration depth δ = λ/(2πk)
1.60007e+06 nm
Abbe number Vd
36.015
Chromatic dispersion dn/dλ
-0.0782201 µm⁻¹
Group index ng
1.59199
Group velocity dispersion
143.896 fs²/mm
Dispersion parameter D
-785.028 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

# Bombyx mori (silkworm) silk: Perotto et al. 2017: Uncrystallized fibroin film; n 0.3–1.7 µm
bombyx_mori = ls.fetch_refractiveindex("other", "Bombyx_mori", "Perotto-uncrystallized", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bombyx_mori.range_nm)  # (300, 1700) nm
eps = bombyx_mori.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.

Dispersion formula

Cauchy (formula 5), λ in µm
n=1.5231+0.0079⁢λ−2.0+6×10-6⁢λ−4.0

Valid from 0.3 to 1.7 µm.

Coefficients as stored
CiValue
C11.5231
C20.0079
C3-2.0
C46e-06
C5-4.0

Comments and conditions

Uncrystallized Bombyx mori (silkworm) fibroin film

References

G. Perotto, Y. Zhang, D. Naskar, N. Patel, D. L. Kaplan, S. C. Kundu, F. G. Omenetto. The optical properties of regenerated silk fibroin films obtained from different sources. Appl. Phys. Lett. 111, 103702 (2017)
  • doi:10.1063/1.4998950 The optical properties of regenerated silk fibroin films obtained from different sources, Applied Physics Letters (2017)

Cite

Giovanni Perotto et al.. The optical properties of regenerated silk fibroin films obtained from different sources. Applied Physics Letters, 111, 103702 (2017), doi:10.1063/1.4998950; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 528 wavelengths, the same grid as the API and the library
Bombyx mori (silkworm) silk, Perotto et al. 2017: Uncrystallized fibroin film; n 0.3–1.7 µm: n and k versus wavelength
λ (µm)nk
0.31.6116190.00121
0.3013071.6108460.001181836
0.302621.610080.001153549
0.3039381.6093210.001125139
0.3052621.6085680.001096605
0.3065921.6078230.001067947
0.3079281.6070830.001039164
0.309271.6063510.001010255
0.311.6059560.000994521
0.3106171.6056240.0009840257
0.3119711.6049040.0009610148
0.313331.6041910.0009379037
0.3146951.6034830.000914692
0.3160661.6027820.000891379
0.3174431.6020870.0008679646
0.3188261.6013980.0008444481
0.321.6008210.000824487
0.3202151.6007150.0008216226
0.321611.6000390.0008030463
0.3230111.5993680.0007843892
0.3244191.5987030.0007656508
0.3258321.5980440.0007468307
0.3272521.597390.0007279286
0.3286781.5967430.0007089442
0.331.596150.000691336
0.330111.5961010.0006901788
0.3315481.5954640.0006749895
0.3329921.5948340.000659734
0.3344431.5942090.000644412
0.33591.5935890.0006290233
0.3373641.5929750.0006135675
0.3388341.5923660.0005980444
0.341.5918880.000585725
0.340311.5917620.0005830997
0.3417921.5911640.0005705335
0.3432821.5905710.0005579125
0.3447771.5899830.0005452365
0.3462791.58940.0005325053
0.3477881.5888230.0005197186
0.3493031.588250.0005068762
0.351.587990.000500971
0.3508251.5876830.000495298
0.3523541.587120.0004847891
0.3538891.5865630.0004742343
0.3554311.586010.0004636336
0.3569791.5854620.0004529867
0.3585341.5849190.0004422934
0.361.5844140.000432217
0.3600971.5843810.0004316734
0.3616651.5838470.0004228359
0.3632411.5833180.0004139599
0.3648241.5827940.0004050452
0.3664131.5822750.0003960917
0.368011.5817590.0003870992
0.3696131.5812490.0003780674
0.371.5811260.000375887
0.3712231.5807430.0003701894
0.3728411.5802410.0003626563
0.3744651.5797440.0003550903
0.3760971.5792510.0003474913
0.3777351.5787620.0003398593
0.3793811.5782770.0003321939
0.381.5780970.00032931
0.3810341.5777970.0003252948
0.3826941.5773210.0003188466
0.3843611.576850.0003123704
0.3860361.5763820.0003058659
0.3877181.5759180.0002993331
0.3894071.5754590.0002927718
0.391.5752990.000290468
0.3911031.5750030.0002868654
0.3928071.5745520.0002813023
0.3945191.5741040.0002757149
0.3962381.573660.0002701032
0.3979641.5732210.0002644671
0.3996981.5727850.0002588064
0.41.5727090.00025782
0.4014391.5723530.0002538413
0.4031881.5719240.0002490066
0.4049451.57150.0002441507
0.4067091.5710790.0002392737
0.4084811.5706610.0002343755
0.411.5703080.000230177
0.4102611.5702480.0002295622
0.4120481.5698380.0002253498
0.4138441.5694320.000221119
0.4156471.5690290.0002168697
0.4174571.5686290.000212602
0.4192761.5682330.0002083156
0.421.5680770.00020661
0.4211031.5678410.0002043798
0.4229381.5674520.0002006701
0.424781.5670670.0001969442
0.4266311.5666840.0001932021
0.428491.5663050.0001894437
0.431.5660010.00018639
0.4303571.565930.0001857676
0.4322321.5655580.0001824953
0.4341151.5651890.0001792089
0.4360061.5648230.000175908
0.4379061.564460.0001725928
0.4398141.5641010.0001692632
0.441.5640660.000168938
0.441731.5637440.0001663178
0.4436541.5633910.0001634027
0.4455871.5630410.0001604749
0.4475291.5626940.0001575343
0.4494781.562350.0001545809
0.451.5622590.000153791
0.4514371.5620090.0001518921
0.4534041.5616710.0001492928
0.4553791.5613360.0001466821
0.4573631.5610030.00014406
0.4593561.5606740.0001414265
0.461.5605690.000140575
0.4613571.5603480.0001390025
0.4633671.5600240.0001366732
0.4653861.5597030.0001343338
0.4674141.5593850.0001319842
0.469451.559070.0001296244
0.471.5589860.000128987
0.4714951.5587580.0001274606
0.4735491.5584480.0001253637
0.4756131.5581410.0001232576
0.4776851.5578370.0001211423
0.4797661.5575350.0001190178
0.481.5575010.000118779
0.4818561.5572360.0001171024
0.4839561.5569390.0001152062
0.4860641.5566450.0001133018
0.4881821.5563540.0001113891
0.491.5561070.000109747
0.4903091.5560650.0001094992
0.4924451.5557790.0001077854
0.494591.5554950.000106064
0.4967451.5552140.0001043352
0.498911.5549350.0001025988
0.51.5547960.000101724
0.5010831.5546590.0001009488
0.5032661.5543859.938660e-05
0.5054591.5541139.781757e-05
0.5076611.5538449.624169e-05
0.5098731.5535779.465895e-05
0.511.5535629.456810e-05
0.5120941.5533129.322653e-05
0.5143261.553059.179744e-05
0.5165661.552799.036212e-05
0.5188171.5525328.892054e-05
0.521.5523988.816280e-05
0.5210771.5522778.754289e-05
0.5233481.5520238.623666e-05
0.5256281.5517728.492474e-05
0.5279181.5515238.360710e-05
0.531.55138.240910e-05
0.5302181.5512778.229610e-05
0.5325281.5510328.109824e-05
0.5348481.550797.989515e-05
0.5371781.5505497.868683e-05
0.5395191.5503117.747324e-05
0.541.5502627.722370e-05
0.5418691.5500757.634736e-05
0.544231.5498417.524063e-05
0.5466011.5496097.412907e-05
0.5489831.5493797.301267e-05
0.551.5492817.253580e-05
0.5513751.5491517.195149e-05
0.5537771.5489247.093034e-05
0.556191.54876.990474e-05
0.5586131.5484786.887468e-05
0.561.5483526.828500e-05
0.5610471.5482586.788047e-05
0.5634911.548046.693564e-05
0.5659461.5478236.598670e-05
0.5684121.5476096.503362e-05
0.571.5474726.441970e-05
0.5708881.5473966.410667e-05
0.5733751.5471856.323008e-05
0.5758741.5469766.234968e-05
0.5783831.5467696.146544e-05
0.581.5466376.089540e-05
0.5809021.5465646.060467e-05
0.5834331.546365.978934e-05
0.5859751.5461585.897046e-05
0.5885281.5459585.814801e-05
0.591.5458445.767390e-05
0.5910921.545765.735141e-05
0.5936681.5455635.659116e-05
0.5962541.5453695.582759e-05
0.5988521.5451755.506070e-05
0.61.5450915.472180e-05
0.6014611.5449845.432563e-05
0.6040821.5447945.361509e-05
0.6067131.5446065.290145e-05
0.6093571.5444195.218471e-05
0.611.5443745.201030e-05
0.6120121.5442345.150819e-05
0.6146781.5440515.084265e-05
0.6173561.5438695.017421e-05
0.621.5436924.951430e-05
0.6200461.5436894.950374e-05
0.6227471.543514.888171e-05
0.6254611.5433334.825696e-05
0.6281861.5431584.762950e-05
0.631.5430424.721170e-05
0.6309221.5429844.701537e-05
0.6336711.5428124.643031e-05
0.6364321.5426414.584270e-05
0.6392051.5424714.525253e-05
0.641.5424234.508330e-05
0.641991.5423034.469103e-05
0.6447871.5421374.413962e-05
0.6475961.5419714.358581e-05
0.651.5418324.311190e-05
0.6504181.5418084.303552e-05
0.6532511.5416464.251717e-05
0.6560971.5414854.199656e-05
0.6589561.5413254.147368e-05
0.661.5412684.128270e-05
0.6618271.5411674.097206e-05
0.664711.5410114.048175e-05
0.6676061.5408553.998931e-05
0.671.5407283.958230e-05
0.6705151.5407013.950074e-05
0.6734361.5405493.903815e-05
0.676371.5403973.857355e-05
0.6793171.5402473.810692e-05
0.681.5402133.799880e-05
0.6822771.5400993.766255e-05
0.6852491.5399513.722356e-05
0.6882351.5398053.678266e-05
0.691.539723.652200e-05
0.6912341.539663.635181e-05
0.6942451.5395173.593630e-05
0.697271.5393743.551898e-05
0.71.5392473.514230e-05
0.7003081.5392333.510258e-05
0.7033591.5390933.470871e-05
0.7064231.5389553.431312e-05
0.7095011.5388173.391581e-05
0.711.5387953.385140e-05
0.7125921.5386813.353785e-05
0.7156971.5385463.316231e-05
0.7188151.5384123.278513e-05
0.721.5383623.264180e-05
0.7219471.5382793.242086e-05
0.7250921.5381483.206389e-05
0.7282511.5380173.170536e-05
0.731.5379463.150690e-05
0.7314241.5378883.135503e-05
0.7346111.537763.101520e-05
0.7378111.5376333.067389e-05
0.741.5375473.044050e-05
0.7410261.5375073.033758e-05
0.7442541.5373823.001369e-05
0.7474971.5372582.968839e-05
0.751.5371632.943730e-05
0.7507541.5371352.936606e-05
0.7540251.5370132.905692e-05
0.757311.5368932.874644e-05
0.761.5367952.849220e-05
0.7606091.5367732.843788e-05
0.7639231.5366552.814249e-05
0.7672511.5365372.784580e-05
0.771.5364412.760080e-05
0.7705941.5364212.755079e-05
0.7739521.5363052.726823e-05
0.7773241.5361912.698445e-05
0.781.5361012.675920e-05
0.780711.5360772.670268e-05
0.7841121.5359652.643203e-05
0.7875281.5358532.616020e-05
0.791.5357742.596350e-05
0.7909591.5357432.589128e-05
0.7944051.5356332.563179e-05
0.7978661.5355252.537117e-05
0.81.5354582.521050e-05
0.8013421.5354172.511475e-05
0.8048341.535312.486571e-05
0.808341.5352042.461559e-05
0.811.5351552.449720e-05
0.8118621.5350992.437123e-05
0.8153991.5349952.413194e-05
0.8189521.5348922.389161e-05
0.821.5348622.382070e-05
0.822521.534792.365888e-05
0.8261031.5346892.342874e-05
0.8297031.5345882.319760e-05
0.831.534582.317850e-05
0.8333171.5344892.297607e-05
0.8369481.534392.275453e-05
0.841.5343082.256830e-05
0.8405951.5342922.253380e-05
0.8442571.5341952.232127e-05
0.8479351.5340992.210782e-05
0.851.5340462.198800e-05
0.8516291.5340042.189799e-05
0.855341.5339092.169303e-05
0.8590661.5338162.148717e-05
0.861.5337922.143560e-05
0.8628091.5337232.128775e-05
0.8665681.5336312.108991e-05
0.871.5335482.090930e-05
0.8703441.533542.089204e-05
0.8741361.5334492.070172e-05
0.8779441.5333592.051058e-05
0.881.5333112.040740e-05
0.8817691.533272.032267e-05
0.8856111.5331822.013869e-05
0.889471.5330951.995390e-05
0.891.5330831.992850e-05
0.8933451.5330081.977548e-05
0.8972371.5329231.959741e-05
0.91.5328621.947100e-05
0.9011461.5328371.942089e-05
0.9050721.5327531.924924e-05
0.9090151.5326691.907684e-05
0.911.5326491.903380e-05
0.9129761.5325861.890935e-05
0.9169541.5325041.874300e-05
0.921.5324421.861560e-05
0.9209491.5324231.857763e-05
0.9249611.5323421.841701e-05
0.9289911.5322621.825569e-05
0.931.5322421.821530e-05
0.9330381.5321831.809878e-05
0.9371031.5321041.794288e-05
0.941.5320481.783180e-05
0.9411861.5320261.778820e-05
0.9452871.5319481.763751e-05
0.9494051.5318721.748615e-05
0.951.5318611.746430e-05
0.9535421.5317961.733942e-05
0.9576961.531721.719293e-05
0.961.5316791.711170e-05
0.9618691.5316461.704846e-05
0.9660591.5315721.690665e-05
0.971.5315031.677330e-05
0.9702681.5314981.676458e-05
0.9744961.5314261.662719e-05
0.9787411.5313531.648921e-05
0.981.5313321.644830e-05
0.9830061.5312821.635441e-05
0.9872881.5312111.622061e-05
0.991.5311671.613590e-05
0.991591.5311411.608816e-05
0.995911.5310711.595842e-05
11.5310061.583560e-05
1.000251.5310021.582841e-05
1.004611.5309341.570251e-05
1.008981.5308661.557606e-05
1.011.530851.554670e-05
1.013381.5307981.545267e-05
1.017791.5307321.532984e-05
1.021.5306991.526850e-05
1.022231.5306661.520878e-05
1.026681.53061.508946e-05
1.031.5305521.500060e-05
1.031161.5305351.497074e-05
1.035651.5304711.485470e-05
1.041.5304091.474230e-05
1.040161.5304071.473830e-05
1.044691.5303441.462550e-05
1.049241.5302811.451221e-05
1.051.530271.449340e-05
1.053821.5302191.440175e-05
1.058411.5301571.429147e-05
1.061.5301361.425320e-05
1.063021.5300961.418321e-05
1.067651.5300351.407581e-05
1.071.5300051.402130e-05
1.07231.5299751.396980e-05
1.076971.5299161.386525e-05
1.081.5298771.379750e-05
1.081671.5298571.376148e-05
1.086381.5297981.365955e-05
1.091.5297541.358120e-05
1.091111.529741.355797e-05
1.095861.5296821.345857e-05
1.11.5296331.337210e-05
1.100641.5296251.335917e-05
1.105431.5295691.326221e-05
1.111.5295161.316990e-05
1.110251.5295131.316500e-05
1.115091.5294571.307043e-05
1.119951.5294021.297545e-05
1.121.5294021.297440e-05
1.124831.5293481.288305e-05
1.129731.5292941.279028e-05
1.131.5292911.278510e-05
1.134651.529241.269990e-05
1.139591.5291871.260928e-05
1.141.5291821.260180e-05
1.144561.5291341.252092e-05
1.149541.5290821.243240e-05
1.151.5290771.242430e-05
1.154551.529031.234601e-05
1.159581.5289791.225949e-05
1.161.5289741.225230e-05
1.164631.5289281.217500e-05
1.169711.5288771.209037e-05
1.171.5288741.208550e-05
1.17481.5288271.200781e-05
1.179921.5287771.192505e-05
1.181.5287771.192380e-05
1.185061.5287281.184435e-05
1.191.5286821.176690e-05
1.190231.528681.176345e-05
1.195411.5286311.168447e-05
1.21.5285891.161460e-05
1.200621.5285831.160543e-05
1.205851.5285361.152812e-05
1.211.5284991.146680e-05
1.211111.5284891.145093e-05
1.216381.5284421.137516e-05
1.221.528411.132320e-05
1.221681.5283961.129975e-05
1.2271.528351.122549e-05
1.231.5283241.118370e-05
1.232351.5283041.115184e-05
1.237721.5282591.107903e-05
1.241.528241.104810e-05
1.243111.5282151.100709e-05
1.248531.528171.093571e-05
1.251.5281581.091630e-05
1.253971.5281261.086548e-05
1.259431.5280831.079550e-05
1.261.5280781.078820e-05
1.264921.528041.072688e-05
1.271.5281.066350e-05
1.270431.5279971.065830e-05
1.275961.5279551.059116e-05
1.281.5279241.054220e-05
1.281521.5279131.052421e-05
1.287111.5278711.045827e-05
1.291.5278491.042410e-05
1.292711.527831.039289e-05
1.298351.5277891.032812e-05
1.31.5277771.030910e-05
1.3041.5277481.026431e-05
1.309681.5277081.020073e-05
1.311.5277051.019720e-05
1.315391.5276681.013839e-05
1.321.5276361.008810e-05
1.321121.5276281.007618e-05
1.326881.5275891.001496e-05
1.331.5275689.981740e-06
1.332661.527559.954195e-06
1.338461.5275129.894025e-06
1.341.5275029.878110e-06
1.34431.5274739.839984e-06
1.350151.5274369.788002e-06
1.356031.5273989.735793e-06
1.361941.5273619.683357e-06
1.367881.5273249.630692e-06
1.373841.5272879.577798e-06
1.379821.5272519.524674e-06
1.385831.5272159.471318e-06
1.391871.5271799.417730e-06
1.397941.5271449.363908e-06
1.404031.5271099.309851e-06
1.410141.5270749.255559e-06
1.416291.527049.201031e-06
1.422461.5270069.146265e-06
1.428651.5269729.091260e-06
1.434881.5269389.036016e-06
1.441131.5269058.980531e-06
1.447411.5268728.924804e-06
1.453721.526848.868835e-06
1.461.5268078.813060e-06
1.460051.5268078.812684e-06
1.466411.5267758.764308e-06
1.471.5267578.737010e-06
1.47281.5267438.716187e-06
1.479221.5267128.668460e-06
1.481.5267088.662630e-06
1.485661.526688.621441e-06
1.491.526668.589870e-06
1.492131.5266498.574680e-06
1.498631.5266198.528400e-06
1.51.5266128.518680e-06
1.505161.5265888.482702e-06
1.511.5265668.449010e-06
1.511721.5265588.437269e-06
1.518311.5265288.392357e-06
1.521.526528.380820e-06
1.524921.5264988.347953e-06
1.531.5264768.314060e-06
1.531571.5264698.303817e-06
1.538241.526448.260197e-06
1.541.5264328.248690e-06
1.544941.5264118.217049e-06
1.551.5263898.184660e-06
1.551671.5263828.174169e-06
1.558431.5263548.131768e-06
1.561.5263478.121940e-06
1.565221.5263268.089851e-06
1.571.5263068.060500e-06
1.572041.5262988.048202e-06
1.578891.526278.006956e-06
1.581.5262668.000280e-06
1.585771.5262437.966229e-06
1.591.5262267.941270e-06
1.592681.5262157.925770e-06
1.599621.5261887.885628e-06
1.61.5261877.883420e-06
1.606591.5261627.846055e-06
1.611.5261497.826700e-06
1.613591.5261357.806751e-06
1.621.5261117.771090e-06
1.620621.5261097.767722e-06
1.627681.5260837.729206e-06
1.631.5260747.716540e-06
1.634771.5260577.691018e-06
1.641.5260387.663030e-06
1.641891.5260317.653098e-06
1.649051.5260067.615550e-06
1.651.5260037.610540e-06
1.656231.5259817.578455e-06
1.661.5259687.559040e-06
1.663451.5259567.541620e-06
1.671.5259337.508490e-06
1.670691.5259317.505049e-06
1.677971.5259077.468931e-06
1.681.52597.458870e-06
1.685281.5258827.433142e-06
1.691.5258677.410170e-06
1.692631.5258587.397615e-06
1.71.5258347.362350e-06

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
—