Optical constants

Refractive index of Bombyx mori (silkworm) silk

Perotto et al. 2017: Crystallized 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
1.55034
Extinction coefficient k
0.000188198
Permittivity ε1
2.40355
Permittivity ε2
0.00058354
Absorption coefficient α
40.2478 cm⁻¹
Penetration depth δ = λ/(2πk)
496922 nm
Abbe number Vd
39.366
Chromatic dispersion dn/dλ
-0.0713434 µm⁻¹
Group index ng
1.59226
Group velocity dispersion
138.544 fs²/mm
Dispersion parameter D
-755.832 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: Crystallized fibroin film; n 0.3–1.7 µm
bombyx_mori = ls.fetch_refractiveindex("other", "Bombyx_mori", "Perotto-crystallized", 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=1.5303+0.0066⁢λ−2.0+0.00011⁢λ−4.0

Valid from 0.3 to 1.7 µm.

Coefficients as stored
CiValue
C11.5303
C20.0066
C3-2.0
C40.00011
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: Crystallized fibroin film; n 0.3–1.7 µm: n and k versus wavelength
λ (µm)nk
0.31.6172140.00391
0.3013071.6163450.003817199
0.302621.6154850.003723995
0.3039381.6146350.003630384
0.3052621.6137940.003536365
0.3065921.6129630.003441936
0.3079281.612140.003347096
0.309271.6113270.003251843
0.311.6108890.0032
0.3106171.6105220.003166051
0.3119711.6097260.003091619
0.313331.6089390.003016863
0.3146951.608160.002941781
0.3160661.607390.002866372
0.3174431.6066280.002790635
0.3188261.6058740.002714567
0.321.6052440.00265
0.3202151.6051290.002640965
0.321611.6043910.002582369
0.3230111.6036620.002523519
0.3244191.602940.002464412
0.3258321.6022260.002405048
0.3272521.6015190.002345425
0.3286781.600820.002285542
0.331.6001820.00223
0.330111.6001290.002226275
0.3315481.5994450.002177375
0.3329921.5987680.002128262
0.3344431.5980990.002078935
0.33591.5974360.002029393
0.3373641.5967810.001979635
0.3388341.5961330.001929661
0.341.5956250.00189
0.340311.5954910.001881327
0.3417921.5948560.001839812
0.3432821.5942280.001798116
0.3447771.5936070.001756239
0.3462791.5929920.001714179
0.3477881.5923840.001671936
0.3493031.5917820.001629509
0.351.5915080.00161
0.3508251.5911860.001591848
0.3523541.5905970.001558221
0.3538891.5900130.001524448
0.3554311.5894360.001490527
0.3569791.5888650.001456459
0.3585341.58830.001422243
0.361.5877750.00139
0.3600971.5877410.001388263
0.3616651.5871870.001360023
0.3632411.586640.00133166
0.3648241.5860980.001303174
0.3664131.5855610.001274563
0.368011.5850310.001245828
0.3696131.5845050.001216968
0.371.584380.00121
0.3712231.5839850.001191651
0.3728411.5834710.001167391
0.3744651.5829620.001143025
0.3760971.5824580.001118552
0.3777351.5819590.001093974
0.3793811.5814660.001069288
0.381.5812820.00106
0.3810341.5809770.001047109
0.3826941.5804940.001026406
0.3843611.5800150.001005614
0.3860361.5795410.0009847305
0.3877181.5790730.0009637563
0.3894071.5786090.0009426907
0.391.5784470.000935294
0.3911031.5781490.0009236941
0.3928071.5776950.0009057812
0.3945191.5772450.0008877903
0.3962381.5767990.0008697211
0.3979641.5763590.0008515731
0.3996981.5759220.000833346
0.41.5758470.00083017
0.4014391.575490.0008173588
0.4031881.5750630.0008017909
0.4049451.574640.0007861552
0.4067091.5742210.0007704514
0.4084811.5738060.0007546791
0.411.5734550.00074116
0.4102611.5733950.0007391805
0.4120481.5729890.0007256167
0.4138441.5725870.0007119938
0.4156471.5721880.0006983116
0.4174571.5717940.0006845697
0.4192761.5714040.000670768
0.421.571250.000665276
0.4211031.5710170.0006580948
0.4229381.5706350.0006461498
0.424781.5702560.0006341527
0.4266311.5698810.0006221034
0.428491.569510.0006100015
0.431.5692120.000600169
0.4303571.5691430.0005981649
0.4322321.5687790.0005876285
0.4341151.5684190.0005770463
0.4360061.5680620.0005664179
0.4379061.5677090.0005557433
0.4398141.567360.0005450221
0.441.5673260.000543975
0.441731.5670140.0005355378
0.4436541.5666710.0005261511
0.4455871.5663320.0005167234
0.4475291.5659960.0005072546
0.4494781.5656630.0004977446
0.451.5655750.000495201
0.4514371.5653340.0004890866
0.4534041.5650080.0004807165
0.4553791.5646850.00047231
0.4573631.5643660.0004638669
0.4593561.5640490.0004553869
0.461.5639480.000452645
0.4613571.5637360.0004475815
0.4633671.5634250.0004400814
0.4653861.5631180.0004325486
0.4674141.5628140.000424983
0.469451.5625130.0004173844
0.471.5624320.000415332
0.4714951.5622140.0004104171
0.4735491.5619190.0004036648
0.4756131.5616260.0003968831
0.4776851.5613370.0003900719
0.4797661.561050.0003832311
0.481.5610180.000382462
0.4818561.5607660.0003770639
0.4839561.5604850.0003709589
0.4860641.5602060.0003648274
0.4881821.559930.0003586691
0.491.5596970.000353382
0.4903091.5596570.0003525842
0.4924451.5593870.0003470653
0.494591.5591190.0003415224
0.4967451.5588540.0003359554
0.498911.5585910.0003303641
0.51.558460.000327547
0.5010831.5583310.0003250511
0.5032661.5580730.0003200209
0.5054591.5578180.0003149688
0.5076611.5575650.0003098947
0.5098731.5573150.0003047985
0.511.5573010.000304506
0.5120941.5570670.0003001862
0.5143261.5568220.0002955845
0.5165661.5565790.0002909628
0.5188171.5563380.0002863209
0.521.5562130.000283881
0.5210771.55610.0002818849
0.5233481.5558630.0002776788
0.5256281.5556290.0002734544
0.5279181.5553980.0002692116
0.531.555190.000265354
0.5302181.5551680.0002649901
0.5325281.5549410.000261133
0.5348481.5547160.0002572591
0.5371781.5544930.0002533683
0.5395191.5542720.0002494605
0.541.5542270.000248657
0.5418691.5540540.0002458352
0.544231.5538370.0002422715
0.5466011.5536230.0002386923
0.5489831.553410.0002350975
0.551.553320.000233562
0.5513751.55320.0002316806
0.5537771.5529910.0002283926
0.556191.5527850.0002250904
0.5586131.552580.0002217737
0.561.5524640.000219875
0.5610471.5523780.0002185724
0.5634911.5521770.0002155302
0.5659461.5519780.0002124746
0.5684121.5517810.0002094058
0.571.5516560.000207429
0.5708881.5515860.0002064211
0.5733751.5513930.0002035985
0.5758741.5512020.0002007637
0.5783831.5510120.0001979165
0.581.5508920.000196081
0.5809021.5508250.0001951449
0.5834331.5506390.0001925196
0.5859751.5504540.0001898828
0.5885281.5502720.0001872346
0.591.5501680.000185708
0.5910921.5500910.0001846696
0.5936681.5499120.0001822215
0.5962541.5497350.0001797627
0.5988521.5495590.0001772933
0.61.5494820.000176202
0.6014611.5493850.0001749263
0.6040821.5492120.0001726384
0.6067131.5490420.0001703405
0.6093571.5488720.0001680326
0.611.5488320.000167471
0.6120121.5487050.0001658542
0.6146781.5485390.0001637112
0.6173561.5483740.0001615589
0.621.5482140.000159434
0.6200461.5482110.0001594
0.6227471.548050.0001573972
0.6254611.547890.0001553856
0.6281861.5477310.0001533652
0.631.5476270.00015202
0.6309221.5475740.0001513878
0.6336711.5474190.0001495037
0.6364321.5472650.0001476115
0.6392051.5471120.000145711
0.641.5470690.000145166
0.641991.5469610.0001439031
0.6447871.5468110.0001421278
0.6475961.5466630.0001403448
0.651.5465380.000138819
0.6504181.5465160.0001385731
0.6532511.546370.000136904
0.6560971.5462260.0001352276
0.6589561.5460830.000133544
0.661.5460310.000132929
0.6618271.5459410.0001319286
0.664711.5458010.0001303496
0.6676061.5456620.0001287637
0.671.5455480.000127453
0.6705151.5455240.0001271904
0.6734361.5453880.0001257011
0.676371.5452530.0001242054
0.6793171.5451190.0001227031
0.681.5450880.000122355
0.6822771.5449860.0001212721
0.6852491.5448540.0001198583
0.6882351.5447240.0001184384
0.691.5446480.000117599
0.6912341.5445950.0001170511
0.6942451.5444670.0001157133
0.697271.544340.0001143697
0.71.5442280.000113157
0.7003081.5442150.0001130291
0.7033591.5440910.0001117607
0.7064231.5439670.0001104869
0.7095011.5438450.0001092074
0.711.5438260.000109
0.7125921.5437240.0001079903
0.7156971.5436040.0001067811
0.7188151.5434860.0001055665
0.721.5434410.000105105
0.7219471.5433680.0001043936
0.7250921.5432510.0001032443
0.7282511.5431360.00010209
0.731.5430720.000101451
0.7314241.5430210.000100962
0.7346111.5429089.986777e-05
0.7378111.5427959.876879e-05
0.741.5427199.801730e-05
0.7410261.5426849.768586e-05
0.7442541.5425749.664289e-05
0.7474971.5424649.559537e-05
0.751.5423819.478680e-05
0.7507541.5423569.455741e-05
0.7540251.5422499.356204e-05
0.757311.5421429.256233e-05
0.761.5420569.174370e-05
0.7606091.5420379.156881e-05
0.7639231.5419339.061770e-05
0.7672511.5418298.966245e-05
0.771.5417458.887360e-05
0.7705941.5417278.871254e-05
0.7739521.5416258.780263e-05
0.7773241.5415248.688876e-05
0.781.5414458.616340e-05
0.780711.5414248.598144e-05
0.7841121.5413268.511002e-05
0.7875281.5412288.423482e-05
0.791.5411588.360150e-05
0.7909591.5411318.336896e-05
0.7944051.5410348.253343e-05
0.7978661.5409398.169425e-05
0.81.5408818.117690e-05
0.8013421.5408458.086855e-05
0.8048341.5407518.006659e-05
0.808341.5406587.926114e-05
0.811.5406157.887990e-05
0.8118621.5405677.847429e-05
0.8153991.5404767.770379e-05
0.8189521.5403857.692994e-05
0.821.5403597.670160e-05
0.822521.5402967.618058e-05
0.8261031.5402077.543960e-05
0.8297031.5401197.469540e-05
0.831.5401127.463390e-05
0.8333171.5400327.398209e-05
0.8369481.5399467.326874e-05
0.841.5398757.266910e-05
0.8405951.5398617.255801e-05
0.8442571.5397767.187366e-05
0.8479351.5396927.118634e-05
0.851.5396467.080050e-05
0.8516291.5396097.051065e-05
0.855341.5395276.985064e-05
0.8590661.5394456.918776e-05
0.861.5394256.902170e-05
0.8628091.5393646.854562e-05
0.8665681.5392846.790856e-05
0.871.5392126.732700e-05
0.8703441.5392056.727143e-05
0.8741361.5391266.665865e-05
0.8779441.5390486.604320e-05
0.881.5390066.571100e-05
0.8817691.5389716.543815e-05
0.8856111.5388946.484572e-05
0.889471.5388186.425071e-05
0.891.5388086.416890e-05
0.8933451.5387436.367625e-05
0.8972371.5386686.310297e-05
0.91.5386166.269600e-05
0.9011461.5385946.253466e-05
0.9050721.5385216.198193e-05
0.9090151.5384486.142680e-05
0.911.538436.128820e-05
0.9129761.5383776.088744e-05
0.9169541.5383056.035176e-05
0.921.5382515.994150e-05
0.9209491.5382355.981923e-05
0.9249611.5381655.930203e-05
0.9289911.5380955.878257e-05
0.931.5380785.865250e-05
0.9330381.5380265.827735e-05
0.9371031.5379585.777544e-05
0.941.537915.741780e-05
0.9411861.5378915.727739e-05
0.9452871.5378245.679205e-05
0.9494051.5377585.630459e-05
0.951.5377485.623420e-05
0.9535421.5376925.583211e-05
0.9576961.5376275.536046e-05
0.961.5375915.509890e-05
0.9618691.5375625.489529e-05
0.9660591.5374985.443867e-05
0.971.5374395.400930e-05
0.9702681.5374355.398122e-05
0.9744961.5373725.353883e-05
0.9787411.537315.309452e-05
0.981.5372915.296280e-05
0.9830061.5372485.266053e-05
0.9872881.5371875.222981e-05
0.991.5371495.195710e-05
0.991591.5371265.180335e-05
0.995911.5370665.138554e-05
11.537015.099000e-05
1.000251.5370075.096683e-05
1.004611.5369485.056137e-05
1.008981.5368895.015414e-05
1.011.5368765.005960e-05
1.013381.5368314.975687e-05
1.017791.5367744.936141e-05
1.021.5367454.916390e-05
1.022231.5367174.897158e-05
1.026681.536664.858736e-05
1.031.5366194.830120e-05
1.031161.5366044.820507e-05
1.035651.5365494.783151e-05
1.041.5364964.746970e-05
1.040161.5364944.745681e-05
1.044691.536444.709349e-05
1.049241.5363864.672860e-05
1.051.5363774.666800e-05
1.053821.5363324.637291e-05
1.058411.5362794.601781e-05
1.061.5362614.589460e-05
1.063021.5362274.566929e-05
1.067651.5361754.532356e-05
1.071.5361494.514810e-05
1.07231.5361234.498221e-05
1.076971.5360724.464542e-05
1.081.5360394.442720e-05
1.081671.5360214.431124e-05
1.086381.5359714.398305e-05
1.091.5359334.373080e-05
1.091111.5359214.365601e-05
1.095861.5358724.333599e-05
1.11.535834.305760e-05
1.100641.5358234.301599e-05
1.105431.5357754.270387e-05
1.111.5357294.240670e-05
1.110251.5357274.239091e-05
1.115091.5356794.208631e-05
1.119951.5356324.178039e-05
1.121.5356314.177700e-05
1.124831.5355854.148288e-05
1.129731.5355394.118418e-05
1.131.5355364.116750e-05
1.134651.5354934.089316e-05
1.139591.5354474.060139e-05
1.141.5354444.057730e-05
1.144561.5354024.031683e-05
1.149541.5353584.003180e-05
1.151.5353534.000570e-05
1.154551.5353133.975358e-05
1.159581.5352693.947495e-05
1.161.5352663.945180e-05
1.164631.5352263.920295e-05
1.169711.5351833.893047e-05
1.171.535183.891480e-05
1.17481.535143.866458e-05
1.179921.5350973.839802e-05
1.181.5350973.839400e-05
1.185061.5350553.813819e-05
1.191.5350163.788880e-05
1.190231.5350143.787768e-05
1.195411.5349723.762343e-05
1.21.5349363.739850e-05
1.200621.5349323.736896e-05
1.205851.5348913.711997e-05
1.211.5348593.692250e-05
1.211111.5348513.687141e-05
1.216381.5348113.662747e-05
1.221.5347843.646020e-05
1.221681.5347713.638467e-05
1.2271.5347323.614558e-05
1.231.5347113.601100e-05
1.232351.5346943.590845e-05
1.237721.5346553.567414e-05
1.241.5346393.557460e-05
1.243111.5346173.544255e-05
1.248531.5345793.521269e-05
1.251.5345693.515020e-05
1.253971.5345423.498647e-05
1.259431.5345053.476100e-05
1.261.5345013.473750e-05
1.264921.5344683.454011e-05
1.271.5344343.433610e-05
1.270431.5344313.431936e-05
1.275961.5343953.410316e-05
1.281.5343693.394550e-05
1.281521.534363.388758e-05
1.287111.5343243.367525e-05
1.291.5343063.356520e-05
1.292711.5342893.346473e-05
1.298351.5342543.325623e-05
1.31.5342443.319500e-05
1.3041.5342193.305066e-05
1.309681.5341853.284579e-05
1.311.5341833.283440e-05
1.315391.5341513.264504e-05
1.321.5341243.248310e-05
1.321121.5341183.244472e-05
1.326881.5340843.224770e-05
1.331.5340663.214080e-05
1.332661.5340513.205210e-05
1.338461.5340183.185835e-05
1.341.534013.180710e-05
1.34431.5339863.168434e-05
1.350151.5339543.151696e-05
1.356031.5339223.134885e-05
1.361941.533893.118001e-05
1.367881.5338593.101043e-05
1.373841.5338283.084011e-05
1.379821.5337973.066906e-05
1.385831.5337663.049725e-05
1.391871.5337363.032470e-05
1.397941.5337063.015140e-05
1.404031.5336762.997734e-05
1.410141.5336472.980252e-05
1.416291.5336182.962694e-05
1.422461.5335892.945060e-05
1.428651.533562.927349e-05
1.434881.5335322.909561e-05
1.441131.5335032.891695e-05
1.447411.5334752.873751e-05
1.453721.5334482.855729e-05
1.461.533422.837770e-05
1.460051.533422.837649e-05
1.466411.5333932.822070e-05
1.471.5333782.813280e-05
1.47281.5333662.806575e-05
1.479221.5333392.791207e-05
1.481.5333362.789330e-05
1.485661.5333132.776066e-05
1.491.5332952.765900e-05
1.492131.5332872.761010e-05
1.498631.533262.746109e-05
1.51.5332552.742980e-05
1.505161.5332352.731397e-05
1.511.5332162.720550e-05
1.511721.5332092.716769e-05
1.518311.5331842.702305e-05
1.521.5331772.698590e-05
1.524921.5331592.688005e-05
1.531.533142.677090e-05
1.531571.5331342.673792e-05
1.538241.5331092.659745e-05
1.541.5331022.656040e-05
1.544941.5330842.645855e-05
1.551.5330662.635430e-05
1.551671.533062.632051e-05
1.558431.5330362.618395e-05
1.561.5330312.615230e-05
1.565221.5330122.604899e-05
1.571.5329962.595450e-05
1.572041.5329892.591490e-05
1.578891.5329652.578210e-05
1.581.5329612.576060e-05
1.585771.5329422.565096e-05
1.591.5329282.557060e-05
1.592681.5329192.552068e-05
1.599621.5328962.539141e-05
1.61.5328952.538430e-05
1.606591.5328742.526401e-05
1.611.5328632.520170e-05
1.613591.5328512.513745e-05
1.621.5328312.502260e-05
1.620621.5328292.501175e-05
1.627681.5328072.488770e-05
1.631.53282.484690e-05
1.634771.5327852.476477e-05
1.641.5327692.467470e-05
1.641891.5327632.464270e-05
1.649051.5327422.452174e-05
1.651.5327392.450560e-05
1.656231.5327212.440230e-05
1.661.532712.433980e-05
1.663451.53272.428370e-05
1.671.5326812.417700e-05
1.670691.5326792.416593e-05
1.677971.5326582.404968e-05
1.681.5326522.401730e-05
1.685281.5326372.393441e-05
1.691.5326242.386040e-05
1.692631.5326172.381999e-05
1.71.5325972.370650e-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
—