Optical constants

Refractive index of Bombyx mori (silkworm) silk

Perotto et al. 2017: Native 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
1.56054
Extinction coefficient k
0.000216194
Permittivity ε1
2.4353
Permittivity ε2
0.000674761
Absorption coefficient α
46.2351 cm⁻¹
Penetration depth δ = λ/(2πk)
432572 nm
Abbe number Vd
70.345
Chromatic dispersion dn/dλ
-0.039335 µm⁻¹
Group index ng
1.58366
Group velocity dispersion
88.9096 fs²/mm
Dispersion parameter D
-485.049 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: Native fibroin film; n 0.3–1.7 µm
bombyx_mori = ls.fetch_refractiveindex("other", "Bombyx_mori", "Perotto", 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=1.551+0.0026⁢λ−2.0+0.00024⁢λ−4.0

Valid from 0.3 to 1.7 µm.

Coefficients as stored
CiValue
C11.551
C20.0026
C3-2.0
C40.00024
C5-4.0

Comments and conditions

Native 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: Native fibroin film; n 0.3–1.7 µm: n and k versus wavelength
λ (µm)nk
0.31.6095190.00449
0.3013071.6087580.004384129
0.302621.6080080.004277797
0.3039381.6072690.004171001
0.3052621.606540.00406374
0.3065921.6058220.003956012
0.3079281.6051140.003847814
0.309271.6044170.003739145
0.311.6040430.00368
0.3106171.6037290.003641113
0.3119711.6030520.003555855
0.313331.6023830.003470225
0.3146951.6017250.003384222
0.3160661.6010760.003297844
0.3174431.6004360.003211091
0.3188261.5998050.003123959
0.321.5992790.00305
0.3202151.5991830.003039459
0.321611.598570.002971098
0.3230111.5979660.002902439
0.3244191.597370.002833481
0.3258321.5967830.002764222
0.3272521.5962040.002694662
0.3286781.5956330.002624799
0.331.5951130.00256
0.330111.595070.002555727
0.3315481.5945150.002499636
0.3329921.5939680.0024433
0.3344431.5934280.002386719
0.33591.5928960.002329892
0.3373641.5923720.002272817
0.3388341.5918550.002215493
0.341.5914510.00217
0.340311.5913450.002160088
0.3417921.5908420.002112642
0.3432821.5903460.00206499
0.3447771.5898570.00201713
0.3462791.5893750.001969062
0.3477881.5888990.001920784
0.3493031.5884310.001872296
0.351.5882180.00185
0.3508251.5879680.001829372
0.3523541.5875120.00179116
0.3538891.5870620.001752781
0.3554311.5866190.001714236
0.3569791.5861820.001675522
0.3585341.585750.001636639
0.361.5853510.0016
0.3600971.5853250.001597973
0.3616651.5849050.001565027
0.3632411.5844910.001531937
0.3648241.5840830.001498703
0.3664131.583680.001465324
0.368011.5832830.001431799
0.3696131.5828910.001398129
0.371.5827980.00139
0.3712231.5825050.001369205
0.3728411.5821240.00134171
0.3744651.5817480.001314095
0.3760971.5813770.001286359
0.3777351.5810110.001258503
0.3793811.580650.001230526
0.381.5805160.00122
0.3810341.5802940.001204494
0.3826941.5799420.001179593
0.3843611.5795960.001154583
0.3860361.5792540.001129464
0.3877181.5789160.001104235
0.3894071.5785840.001078897
0.391.5784680.00107
0.3911031.5782550.001057164
0.3928071.5779310.001037341
0.3945191.5776120.001017433
0.3962381.5772960.0009974377
0.3979641.5769850.0009773554
0.3996981.5766780.0009571855
0.41.5766250.000953671
0.4014391.5763750.0009389539
0.4031881.5760760.00092107
0.4049451.5757810.0009031081
0.4067091.575490.000885068
0.4084811.5752030.0008669493
0.411.574960.000851419
0.4102611.5749190.000849145
0.4120481.5746390.0008335634
0.4138441.5743630.0008179139
0.4156471.5740910.0008021962
0.4174571.5738220.00078641
0.4192761.5735560.000770555
0.421.5734520.000764246
0.4211031.5732940.0007559966
0.4229381.5730360.0007422747
0.424781.5727810.000728493
0.4266311.5725290.0007146512
0.428491.572280.0007007492
0.431.5720820.000689454
0.4303571.5720350.0006871517
0.4322321.5717930.0006750479
0.4341151.5715540.0006628913
0.4360061.5713180.0006506818
0.4379061.5710850.0006384191
0.4398141.5708550.0006261029
0.441.5708330.0006249
0.441731.5706280.0006152076
0.4436541.5704040.0006044244
0.4455871.5701830.0005935942
0.4475291.5699650.0005827168
0.4494781.5697490.0005717921
0.451.5696920.00056887
0.4514371.5695370.000561846
0.4534041.5693260.0005522307
0.4553791.5691190.0005425736
0.4573631.5689140.0005328743
0.4593561.5687120.0005231328
0.461.5686480.000519983
0.4613571.5685130.0005141662
0.4633671.5683150.0005055503
0.4653861.5681210.0004968969
0.4674141.5679290.0004882057
0.469451.5677390.0004794767
0.471.5676880.000477119
0.4714951.5675520.000471473
0.4735491.5673670.0004637165
0.4756131.5671840.0004559261
0.4776851.5670040.0004481018
0.4797661.5668260.0004402434
0.481.5668060.00043936
0.4818561.566650.0004331587
0.4839561.5664760.0004261453
0.4860641.5663050.0004191014
0.4881821.5661350.0004120268
0.491.5659920.000405953
0.4903091.5659680.0004050365
0.4924451.5658030.0003986965
0.494591.565640.0003923289
0.4967451.5654780.0003859335
0.498911.5653190.0003795102
0.51.565240.000376274
0.5010831.5651620.0003734068
0.5032661.5650070.0003676285
0.5054591.5648530.000361825
0.5076611.5647020.0003559962
0.5098731.5645520.000350142
0.511.5645440.000349806
0.5120941.5644040.0003448434
0.5143261.5642580.000339557
0.5165661.5641140.0003342475
0.5188171.5639720.000328915
0.521.5638980.000326112
0.5210771.5638310.0003238191
0.5233481.5636920.0003189875
0.5256281.5635550.0003141349
0.5279181.5634190.0003092612
0.531.5632980.00030483
0.5302181.5632850.000304412
0.5325281.5631530.0002999811
0.5348481.5630220.0002955308
0.5371781.5628930.0002910612
0.5395191.5627650.0002865721
0.541.5627390.000285649
0.5418691.5626390.0002824073
0.544231.5625140.0002783134
0.5466011.5623910.0002742017
0.5489831.5622690.000270072
0.551.5622180.000268308
0.5513751.5621490.0002661467
0.5537771.562030.0002623697
0.556191.5619130.0002585762
0.5586131.5617970.0002547661
0.561.5617310.000252585
0.5610471.5616820.0002510886
0.5634911.5615690.0002475936
0.5659461.5614570.0002440834
0.5684121.5613460.0002405579
0.571.5612760.000238287
0.5708881.5612370.0002371291
0.5733751.5611290.0002338867
0.5758741.5610220.0002306302
0.5783831.5609170.0002273595
0.581.560850.000225251
0.5809021.5608130.0002241755
0.5834331.560710.0002211595
0.5859751.5606080.0002181302
0.5885281.5605070.0002150878
0.591.560450.000213334
0.5910921.5604080.0002121412
0.5936681.5603090.0002093292
0.5962541.5602120.000206505
0.5988521.5601160.0002036685
0.61.5600740.000202415
0.6014611.5600210.0002009495
0.6040821.5599270.0001983212
0.6067131.5598350.0001956814
0.6093571.5597430.0001930301
0.611.5597210.000192385
0.6120121.5596520.0001905276
0.6146781.5595630.0001880657
0.6173561.5594740.0001855931
0.621.5593880.000183152
0.6200461.5593870.0001831129
0.6227471.55930.0001808121
0.6254611.5592140.0001785013
0.6281861.559130.0001761804
0.631.5590740.000174635
0.6309221.5590460.0001739088
0.6336711.5589640.0001717446
0.6364321.5588820.000169571
0.6392051.5588010.000167388
0.641.5587780.000166762
0.641991.5587210.000165311
0.6447871.5586420.0001632714
0.6475961.5585640.0001612229
0.651.5584980.00015947
0.6504181.5584870.0001591875
0.6532511.5584110.0001572702
0.6560971.5583350.0001553445
0.6589561.5582610.0001534104
0.661.5582340.000152704
0.6618271.5581870.0001515549
0.664711.5581140.0001497412
0.6676061.5580420.0001479196
0.671.5579830.000146414
0.6705151.557970.0001461123
0.6734361.55790.0001444013
0.676371.557830.0001426829
0.6793171.5577610.0001409569
0.681.5577450.000140557
0.6822771.5576930.0001393131
0.6852491.5576250.0001376892
0.6882351.5575590.0001360582
0.691.557520.000135094
0.6912341.5574930.0001344645
0.6942451.5574280.0001329277
0.697271.5573630.0001313842
0.71.5573060.000129991
0.7003081.5572990.0001298441
0.7033591.5572360.0001283872
0.7064231.5571740.0001269239
0.7095011.5571120.0001254543
0.711.5571020.000125216
0.7125921.5570510.0001240562
0.7156971.5569910.0001226672
0.7188151.5569310.0001212722
0.721.5569080.000120742
0.7219471.5568720.0001199245
0.7250921.5568130.0001186038
0.7282511.5567560.0001172773
0.731.5567240.000116543
0.7314241.5566990.0001159813
0.7346111.5566420.0001147245
0.7378111.5565860.0001134622
0.741.5565480.000112599
0.7410261.5565310.0001122183
0.7442541.5564760.0001110202
0.7474971.5564220.0001098168
0.751.5563810.000108888
0.7507541.5563680.0001086245
0.7540251.5563150.000107481
0.757311.5562630.0001063325
0.761.5562210.000105392
0.7606091.5562110.0001051911
0.7639231.556160.0001040985
0.7672511.5561090.0001030012
0.771.5560680.000102095
0.7705941.5560590.00010191
0.7739521.5560090.0001008647
0.7773241.555969.981487e-05
0.781.5559229.898160e-05
0.780711.5559129.877256e-05
0.7841121.5558649.777149e-05
0.7875281.5558169.676605e-05
0.791.5557829.603850e-05
0.7909591.5557699.577137e-05
0.7944051.5557239.481153e-05
0.7978661.5556769.384752e-05
0.81.5556489.325320e-05
0.8013421.5556319.289899e-05
0.8048341.5555869.197777e-05
0.808341.5555419.105254e-05
0.811.555529.061460e-05
0.8118621.5554979.014864e-05
0.8153991.5554538.926350e-05
0.8189521.555418.837451e-05
0.821.5553988.811220e-05
0.822521.5553678.751365e-05
0.8261031.5553258.666240e-05
0.8297031.5552838.580745e-05
0.831.555288.573680e-05
0.8333171.5552428.498805e-05
0.8369481.5552018.416862e-05
0.841.5551678.347980e-05
0.8405951.555168.335218e-05
0.8442571.555128.256602e-05
0.8479351.555088.177644e-05
0.851.5550588.133320e-05
0.8516291.5550418.100024e-05
0.855341.5550028.024205e-05
0.8590661.5549647.948056e-05
0.861.5549547.928980e-05
0.8628091.5549267.874289e-05
0.8665681.5548887.801107e-05
0.871.5548547.734300e-05
0.8703441.5548517.727916e-05
0.8741361.5548147.657523e-05
0.8779441.5547777.586822e-05
0.881.5547587.548660e-05
0.8817691.5547417.517314e-05
0.8856111.5547057.449254e-05
0.889471.554677.380898e-05
0.891.5546657.371500e-05
0.8933451.5546357.314906e-05
0.8972371.55467.249051e-05
0.91.5545767.202300e-05
0.9011461.5545667.183765e-05
0.9050721.5545327.120267e-05
0.9090151.5544987.056493e-05
0.911.554497.040570e-05
0.9129761.5544656.994536e-05
0.9169541.5544326.933005e-05
0.921.5544076.885880e-05
0.9209491.5543996.871833e-05
0.9249611.5543676.812417e-05
0.9289911.5543356.752743e-05
0.931.5543276.737800e-05
0.9330381.5543036.694704e-05
0.9371031.5542726.637045e-05
0.941.554256.595960e-05
0.9411861.5542416.579830e-05
0.9452871.554216.524075e-05
0.9494051.554186.468076e-05
0.951.5541766.459990e-05
0.9535421.554156.413802e-05
0.9576961.554126.359625e-05
0.961.5541046.329580e-05
0.9618691.5540916.306188e-05
0.9660591.5540616.253729e-05
0.971.5540346.204400e-05
0.9702681.5540336.201174e-05
0.9744961.5540046.150358e-05
0.9787411.5539766.099320e-05
0.981.5539676.084190e-05
0.9830061.5539486.049464e-05
0.9872881.553925.999980e-05
0.991.5539035.968650e-05
0.991591.5538935.950989e-05
0.995911.5538655.902996e-05
11.553845.857560e-05
1.000251.5538385.854899e-05
1.004611.5538125.808321e-05
1.008981.5537855.761541e-05
1.011.5537795.750680e-05
1.013381.5537595.715902e-05
1.017791.5537345.670470e-05
1.021.5537215.647780e-05
1.022231.5537085.625685e-05
1.026681.5536835.581545e-05
1.031.5536645.548670e-05
1.031161.5536585.537628e-05
1.035651.5536335.494720e-05
1.041.5536095.453160e-05
1.040161.5536085.451679e-05
1.044691.5535845.409941e-05
1.049241.553565.368021e-05
1.051.5535565.361060e-05
1.053821.5535365.327163e-05
1.058411.5535125.286374e-05
1.061.5535045.272220e-05
1.063021.5534895.246336e-05
1.067651.5534665.206617e-05
1.071.5534545.186460e-05
1.07231.5534435.167404e-05
1.076971.553425.128717e-05
1.081.5534055.103650e-05
1.081671.5533985.090327e-05
1.086381.5533755.052621e-05
1.091.5533585.023640e-05
1.091111.5533535.015049e-05
1.095861.5533314.978288e-05
1.11.5533134.946310e-05
1.100641.553314.941530e-05
1.105431.5532884.905676e-05
1.111.5532684.871540e-05
1.110251.5532674.869726e-05
1.115091.5532464.834729e-05
1.119951.5532254.799579e-05
1.121.5532254.799190e-05
1.124831.5532054.765406e-05
1.129731.5531854.731096e-05
1.131.5531834.729180e-05
1.134651.5531644.697669e-05
1.139591.5531444.664157e-05
1.141.5531434.661390e-05
1.144561.5531254.631466e-05
1.149541.5531054.598718e-05
1.151.5531034.595720e-05
1.154551.5530864.566752e-05
1.159581.5530664.534740e-05
1.161.5530654.532080e-05
1.164631.5530474.503497e-05
1.169711.5530284.472200e-05
1.171.5530274.470400e-05
1.17481.553014.441655e-05
1.179921.5529914.411031e-05
1.181.5529914.410570e-05
1.185061.5529734.381186e-05
1.191.5529564.352540e-05
1.190231.5529554.351263e-05
1.195411.5529374.322052e-05
1.21.5529214.296210e-05
1.200621.5529194.292817e-05
1.205851.5529024.264214e-05
1.211.5528884.241530e-05
1.211111.5528844.235660e-05
1.216381.5528674.207636e-05
1.221.5528554.188420e-05
1.221681.552854.179746e-05
1.2271.5528334.152286e-05
1.231.5528234.136830e-05
1.232351.5528164.125046e-05
1.237721.5527994.098119e-05
1.241.5527924.086680e-05
1.243111.5527834.071514e-05
1.248531.5527674.045117e-05
1.251.5527624.037940e-05
1.253971.5527514.019132e-05
1.259431.5527353.993230e-05
1.261.5527333.990530e-05
1.264921.5527193.967850e-05
1.271.5527043.944410e-05
1.270431.5527033.942486e-05
1.275961.5526883.917651e-05
1.281.5526763.899540e-05
1.281521.5526723.892888e-05
1.287111.5526573.868500e-05
1.291.5526493.855860e-05
1.292711.5526423.844317e-05
1.298351.5526273.820364e-05
1.31.5526223.813330e-05
1.3041.5526123.796750e-05
1.309681.5525973.773218e-05
1.311.5525973.771910e-05
1.315391.5525833.750155e-05
1.321.5525713.731550e-05
1.321121.5525683.727142e-05
1.326881.5525543.704509e-05
1.331.5525473.692230e-05
1.332661.552543.682039e-05
1.338461.5525263.659778e-05
1.341.5525223.653890e-05
1.34431.5525123.639787e-05
1.350151.5524993.620559e-05
1.356031.5524853.601247e-05
1.361941.5524713.581851e-05
1.367881.5524583.562371e-05
1.373841.5524453.542805e-05
1.379821.5524323.523155e-05
1.385831.5524193.503418e-05
1.391871.5524063.483596e-05
1.397941.5523933.463688e-05
1.404031.5523813.443692e-05
1.410141.5523683.423610e-05
1.416291.5523563.403440e-05
1.422461.5523443.383182e-05
1.428651.5523313.362836e-05
1.434881.5523193.342401e-05
1.441131.5523083.321877e-05
1.447411.5522963.301264e-05
1.453721.5522843.280561e-05
1.461.5522733.259930e-05
1.460051.5522723.259791e-05
1.466411.5522613.241897e-05
1.471.5522553.231800e-05
1.47281.552253.224099e-05
1.479221.5522383.206446e-05
1.481.5522373.204290e-05
1.485661.5522273.189056e-05
1.491.552223.177380e-05
1.492131.5522163.171760e-05
1.498631.5522053.154636e-05
1.51.5522033.151040e-05
1.505161.5521943.137732e-05
1.511.5521863.125270e-05
1.511721.5521843.120928e-05
1.518311.5521733.104317e-05
1.521.552173.100050e-05
1.524921.5521623.087890e-05
1.531.5521543.075350e-05
1.531571.5521523.071561e-05
1.538241.5521423.055426e-05
1.541.5521393.051170e-05
1.544941.5521313.039468e-05
1.551.5521243.027490e-05
1.551671.5521213.023610e-05
1.558431.5521113.007925e-05
1.561.5521093.004290e-05
1.565221.5521012.992418e-05
1.571.5520942.981560e-05
1.572041.5520912.977012e-05
1.578891.5520822.961759e-05
1.581.552082.959290e-05
1.585771.5520722.946693e-05
1.591.5520662.937460e-05
1.592681.5520622.931726e-05
1.599621.5520532.916877e-05
1.61.5520522.916060e-05
1.606591.5520432.902239e-05
1.611.5520392.895080e-05
1.613591.5520342.887701e-05
1.621.5520262.874510e-05
1.620621.5520252.873264e-05
1.627681.5520162.859016e-05
1.631.5520132.854330e-05
1.634771.5520062.844891e-05
1.641.5522.834540e-05
1.641891.5519972.830866e-05
1.649051.5519892.816974e-05
1.651.5519872.815120e-05
1.656231.551982.803252e-05
1.661.5519752.796070e-05
1.663451.5519712.789626e-05
1.671.5519632.777370e-05
1.670691.5519622.776098e-05
1.677971.5519542.762741e-05
1.681.5519512.759020e-05
1.685281.5519452.749505e-05
1.691.551942.741010e-05
1.692631.5519372.736365e-05
1.71.5519282.723320e-05

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
—