Optical constants

Refractive index of Antheraea mylitta silk

Perotto et al. 2017: Fibroin film; n 0.3–1.695 µm

Data
formula 5 + tabulated k
Range
0.3–1.695 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–1.695 µm
Refractive index n
1.53326
Extinction coefficient k
0.000111037
Permittivity ε1
2.35088
Permittivity ε2
0.000340496
Absorption coefficient α
23.7462 cm⁻¹
Penetration depth δ = λ/(2πk)
842239 nm
Abbe number Vd
50.768
Chromatic dispersion dn/dλ
-0.052048 µm⁻¹
Group index ng
1.56384
Group velocity dispersion
115.72 fs²/mm
Dispersion parameter D
-631.314 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

# Antheraea mylitta silk: Perotto et al. 2017: Fibroin film; n 0.3–1.695 µm
mat = ls.fetch_refractiveindex("other", "Antheraea_mylitta", "Perotto", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (300, 1695) nm
eps = mat.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=1.5204+0.0036⁢λ−2.0+0.00029⁢λ−4.0

Valid from 0.3 to 1.695 µm.

Coefficients as stored
CiValue
C11.5204
C20.0036
C3-2.0
C40.00029
C5-4.0

Comments and conditions

Antheraea mylitta 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 485 wavelengths, the same grid as the API and the library
Antheraea mylitta silk, Perotto et al. 2017: Fibroin film; n 0.3–1.695 µm: n and k versus wavelength
λ (µm)nk
0.31.5962020.00231
0.3013051.5952410.002258677
0.3026151.5942920.00220713
0.3039321.5933570.00215536
0.3052531.5924360.002103364
0.3065811.5915270.002051142
0.3079151.5906310.001998693
0.3092541.5897480.001946016
0.3105991.5888770.00189311
0.311951.5880180.001839973
0.3133071.5871710.001786606
0.3146691.5863360.001733006
0.3151.5861360.00172
0.3160381.5855130.001691629
0.3174131.5847010.001654057
0.3187931.5839010.001616322
0.320181.5831110.001578422
0.3215721.5823330.001540358
0.3229711.5815650.001502128
0.3243761.5808080.001463732
0.3257871.5800620.001425169
0.3272031.5793260.001386438
0.3286271.57860.001347539
0.331.5779110.00131
0.3300561.5778840.001308955
0.3314921.5771770.001282158
0.3329331.5764810.001255245
0.3343811.5757940.001228214
0.3358361.5751170.001201066
0.3372961.5744480.0011738
0.3387631.5737890.001146415
0.3402371.5731390.001118911
0.3417171.5724980.001091288
0.3432031.5718660.001063544
0.3446961.5712420.00103568
0.3451.5711160.00103
0.3461951.5706260.00101334
0.3477011.5700190.0009923475
0.3492131.569420.0009712636
0.3507321.568830.000950088
0.3522571.5682470.0009288202
0.3537891.5676720.00090746
0.3553281.5671050.0008860068
0.3568741.5665450.0008644604
0.3584261.5659930.0008428202
0.3599851.5654490.0008210859
0.361.5654440.000820875
0.3615511.5649120.0008050315
0.3631231.5643810.0007889639
0.3647031.5638580.0007728263
0.3662891.5633420.0007566186
0.3678821.5628330.0007403404
0.3694821.5623310.0007239914
0.3710891.5618350.0007075713
0.3727031.5613460.0006910797
0.3743241.5608630.0006745165
0.3751.5606650.00066761
0.3759521.5603870.00066025
0.3775871.5599170.0006476103
0.379231.5594530.0006349156
0.3808791.5589960.0006221658
0.3825361.5585440.0006093604
0.3841991.5580990.0005964994
0.3858711.5576590.0005835825
0.3875491.5572250.0005706093
0.3892341.5567960.0005575798
0.391.5566040.000551662
0.3909271.5563730.0005461396
0.3926281.5559560.0005360143
0.3943351.5555440.0005258451
0.3960511.5551380.0005156316
0.3977731.5547370.0005053737
0.3995031.5543410.0004950712
0.4012411.553950.0004847238
0.4029861.5535640.0004743315
0.4047391.5531830.000463894
0.4051.5531270.000462338
0.4064991.5528070.0004553482
0.4082671.5524360.0004471045
0.4100431.552070.0004388249
0.4118261.5517080.0004305092
0.4136181.5513510.0004221574
0.4154171.5509990.0004137693
0.4172231.5506510.0004053447
0.4190381.5503080.0003968835
0.421.5501280.000392398
0.4208611.5499680.0003892097
0.4226911.5496340.0003824281
0.424531.5493030.000375617
0.4263761.5489770.0003687762
0.428231.5486550.0003619057
0.4300931.5483370.0003550053
0.4319641.5480230.0003480749
0.4338421.5477130.0003411144
0.4351.5475240.000336826
0.4357291.5474060.0003346502
0.4376251.5471040.0003289971
0.4395281.5468060.0003233195
0.441441.5465110.0003176172
0.443361.546220.00031189
0.4452881.5459320.000306138
0.4472251.5456480.000300361
0.449171.5453680.0002945588
0.451.545250.000292083
0.4511241.5450910.0002893518
0.4530861.5448180.0002845826
0.4550561.5445480.0002797925
0.4570361.5442810.0002749817
0.4590231.5440180.0002701499
0.461021.5437580.0002652971
0.4630251.5435010.0002604232
0.4651.5432520.000255623
0.4650391.5432470.0002555448
0.4670621.5429970.0002514947
0.4690931.5427490.0002474269
0.4711331.5425050.0002433414
0.4731831.5422630.0002392382
0.4752411.5420250.0002351171
0.4773081.5417890.0002309781
0.4793841.5415560.0002268211
0.481.5414880.000225587
0.4814691.5413260.0002231397
0.4835631.5410990.0002196504
0.4856661.5408750.0002161459
0.4877781.5406530.0002126261
0.48991.5404350.000209091
0.4920311.5402180.0002055406
0.4941711.5400050.0002019747
0.4951.5399230.000200593
0.496321.5397930.0001987459
0.4984791.5395850.0001957256
0.5006471.5393790.0001926922
0.5028241.5391750.0001896455
0.5050111.5389740.0001865856
0.5072081.5387750.0001835124
0.5094141.5385790.0001804258
0.511.5385270.000179606
0.511631.5383850.0001776749
0.5138551.5381930.0001750381
0.516091.5380040.0001723898
0.5183351.5378170.00016973
0.5205891.5376320.0001670586
0.5228531.5374490.0001643756
0.5251.5372790.000161832
0.5251271.5372690.0001617031
0.5274111.537090.0001593937
0.5297051.5369140.0001570742
0.5320091.5367390.0001547446
0.5343231.5365670.000152405
0.5366471.5363970.0001500551
0.5389811.5362290.000147695
0.541.5361560.000146665
0.5413261.5360630.0001455128
0.543681.5358980.0001434663
0.5460451.5357360.0001414109
0.548421.5355750.0001393466
0.5508051.5354170.0001372733
0.5532011.535260.0001351909
0.5551.5351440.000133627
0.5556071.5351050.0001331707
0.5580231.5349520.0001313534
0.560451.53480.0001295282
0.5628881.5346510.0001276951
0.5653361.5345030.0001258541
0.5677951.5343570.000124005
0.571.5342280.000122347
0.5702651.5342120.0001221736
0.5727451.5340690.0001205499
0.5752361.5339280.000118919
0.5777381.5337880.0001172811
0.5802511.533650.000115636
0.5827751.5335140.0001139838
0.5851.5333960.000112527
0.5853091.5333790.0001123496
0.5878551.5332460.0001108904
0.5904121.5331140.0001094248
0.592981.5329840.0001079528
0.5955591.5328550.0001064745
0.5981491.5327270.0001049897
0.61.5326380.000103929
0.6007511.5326010.00010355
0.6033641.5324770.0001022316
0.6059881.5323540.0001009074
0.6086241.5322329.957751e-05
0.6112711.5321129.824180e-05
0.613931.5319939.690029e-05
0.6151.5319459.636030e-05
0.61661.5318759.564615e-05
0.6192821.5317599.444917e-05
0.6219751.5316449.324698e-05
0.6246811.531539.203956e-05
0.6273981.5314179.082689e-05
0.631.5313118.966540e-05
0.6301261.5313068.961523e-05
0.6328671.5311968.852813e-05
0.635621.5310878.743630e-05
0.6383841.530988.633972e-05
0.6411611.5308738.523837e-05
0.643951.5307688.413223e-05
0.6451.5307298.371560e-05
0.646751.5306648.309586e-05
0.6495631.5305618.209993e-05
0.6523891.5304598.109967e-05
0.6552261.5303598.009506e-05
0.6580761.5302597.908608e-05
0.661.5301937.840490e-05
0.6609381.5301617.810718e-05
0.6638131.5300637.719502e-05
0.66671.5299677.627889e-05
0.66961.5298727.535878e-05
0.6725121.5297787.443466e-05
0.6751.5296987.364530e-05
0.6754371.5296847.352045e-05
0.6783751.5295927.268180e-05
0.6813261.5295017.183950e-05
0.6842891.5294117.099354e-05
0.6872651.5293227.014389e-05
0.691.5292416.936320e-05
0.6902541.5292336.929761e-05
0.6932571.5291466.852378e-05
0.6962721.529066.774659e-05
0.69931.5289746.696601e-05
0.7023421.528896.618204e-05
0.7051.5288176.549690e-05
0.7053971.5288066.540427e-05
0.7084651.5287246.468780e-05
0.7115461.5286426.396820e-05
0.7146411.5285616.324548e-05
0.7177491.5284816.251962e-05
0.721.5284246.199400e-05
0.7208711.5284026.180913e-05
0.7240061.5283236.114366e-05
0.7271551.5282466.047529e-05
0.7303181.5281695.980402e-05
0.7334951.5280935.912983e-05
0.7351.5280585.881030e-05
0.7366851.5280185.848429e-05
0.7398891.5279445.786428e-05
0.7431071.527875.724158e-05
0.7463391.5277985.661617e-05
0.7495851.5277265.598804e-05
0.751.5277175.590780e-05
0.7528461.5276545.540440e-05
0.756121.5275845.482513e-05
0.7594091.5275145.424334e-05
0.7627121.5274455.365902e-05
0.7651.5273985.325420e-05
0.7660291.5273775.308731e-05
0.7693611.527315.254696e-05
0.7727071.5272435.200427e-05
0.7760681.5271775.145921e-05
0.7794431.5271115.091178e-05
0.781.5271015.082150e-05
0.7828331.5270475.039914e-05
0.7862381.5269834.989161e-05
0.7896581.5269194.938187e-05
0.7930931.5268564.886992e-05
0.7951.5268224.858560e-05
0.7965421.5267944.837381e-05
0.8000071.5267334.789800e-05
0.8034861.5266724.742011e-05
0.8069811.5266124.694015e-05
0.811.5265614.652550e-05
0.8104911.5265524.646326e-05
0.8140161.5264934.601615e-05
0.8175561.5264354.556710e-05
0.8211121.5263774.511609e-05
0.8246841.526324.466312e-05
0.8251.5263154.462300e-05
0.8282711.5262644.423908e-05
0.8318731.5262084.381620e-05
0.8354911.5261524.339147e-05
0.8391251.5260984.296490e-05
0.841.5260854.286220e-05
0.8427751.5260434.256009e-05
0.846441.525994.216101e-05
0.8501221.5259364.176019e-05
0.8538191.5258844.135763e-05
0.8551.5258674.122910e-05
0.8575331.5258324.097278e-05
0.8612631.525784.059538e-05
0.8650091.5257294.021634e-05
0.8687711.5256793.983564e-05
0.871.5256623.971130e-05
0.872551.5256293.947107e-05
0.8763451.5255793.911353e-05
0.8801561.525533.875442e-05
0.8839851.5254823.839376e-05
0.8851.5254693.829810e-05
0.8878291.5254343.804943e-05
0.8916911.5253863.771005e-05
0.8955691.5253393.736920e-05
0.8994651.5252933.702686e-05
0.91.5252863.697980e-05
0.9033771.5252473.670248e-05
0.9073061.5252013.637979e-05
0.9112521.5251563.605570e-05
0.9151.5251143.574790e-05
0.9152161.5251113.573133e-05
0.9191961.5250673.542532e-05
0.9231941.5250233.511799e-05
0.927211.524983.480931e-05
0.931.524953.459480e-05
0.9312421.5249373.450527e-05
0.9352931.5248943.421337e-05
0.9393611.5248523.392021e-05
0.9434461.5248113.362576e-05
0.9451.5247953.351380e-05
0.947551.5247693.334126e-05
0.9516711.5247283.306239e-05
0.955811.5246883.278230e-05
0.9599681.5246483.250100e-05
0.961.5246483.249880e-05
0.9641431.5246083.223520e-05
0.9683361.5245693.196839e-05
0.9725481.524533.170041e-05
0.9751.5245083.154440e-05
0.9767781.5244923.143787e-05
0.9810261.5244543.118333e-05
0.9852931.5244163.092769e-05
0.9895791.5243793.067094e-05
0.991.5243753.064570e-05
0.9938831.5243423.042634e-05
0.9982061.5243053.018213e-05
1.002551.5242692.993686e-05
1.0051.5242492.979830e-05
1.006911.5242332.969654e-05
1.011291.5241972.946294e-05
1.015691.5241622.922832e-05
1.021.5241282.899820e-05
1.02011.5241272.899298e-05
1.024541.5240932.876928e-05
1.0291.5240592.854460e-05
1.033471.5240252.831894e-05
1.0351.5240132.824190e-05
1.037971.5239912.810031e-05
1.042481.5239582.788488e-05
1.047021.5239252.766851e-05
1.051.5239042.752610e-05
1.051571.5238932.745512e-05
1.056141.5238612.724830e-05
1.060741.5238292.704057e-05
1.0651.5237992.684780e-05
1.065351.5237972.683276e-05
1.069981.5237662.663401e-05
1.074641.5237352.643439e-05
1.079311.5237042.623391e-05
1.081.52372.620440e-05
1.084011.5236742.604120e-05
1.088721.5236442.584915e-05
1.093461.5236142.565627e-05
1.0951.5236042.559340e-05
1.098211.5235842.546901e-05
1.102991.5235552.528406e-05
1.107791.5235262.509831e-05
1.111.5235132.501260e-05
1.11261.5234972.491664e-05
1.117441.5234692.473837e-05
1.12231.5234412.455932e-05
1.1251.5234252.446000e-05
1.127191.5234132.438330e-05
1.132091.5233852.421126e-05
1.137011.5233582.403846e-05
1.141.5233422.393360e-05
1.141961.5233312.386812e-05
1.146921.5233042.370196e-05
1.151911.5232782.353508e-05
1.1551.5232622.343180e-05
1.156921.5232522.337042e-05
1.161951.5232252.320980e-05
1.167011.52322.304849e-05
1.171.5231852.295300e-05
1.172081.5231742.288945e-05
1.177181.5231492.273404e-05
1.18231.5231242.257794e-05
1.1851.5231112.249570e-05
1.187441.5230992.242446e-05
1.192611.5230742.227396e-05
1.19781.523052.212281e-05
1.21.523042.205860e-05
1.203011.5230262.197481e-05
1.208241.5230022.182896e-05
1.213491.5229782.168248e-05
1.2151.5229722.164050e-05
1.218771.5229552.153987e-05
1.224071.5229322.139844e-05
1.22941.5229092.125640e-05
1.231.5229062.124030e-05
1.234741.5228862.111902e-05
1.240111.5228632.098171e-05
1.2451.5228432.085680e-05
1.245511.5228412.084435e-05
1.250931.5228192.071155e-05
1.256371.5227972.057818e-05
1.261.5227832.048910e-05
1.261831.5227752.044606e-05
1.267321.5227542.031701e-05
1.272831.5227332.018740e-05
1.2751.5227242.013640e-05
1.278371.5227112.006037e-05
1.283931.5226911.993483e-05
1.289511.522671.980873e-05
1.291.5226681.979770e-05
1.295121.5226491.968663e-05
1.300751.5226291.956443e-05
1.3051.5226141.947230e-05
1.306411.5226091.944287e-05
1.312091.5225891.932434e-05
1.31781.5225691.920530e-05
1.321.5225621.915940e-05
1.323531.522551.908856e-05
1.329291.522531.897309e-05
1.3351.5225111.885850e-05
1.335071.5225111.885731e-05
1.340881.5224921.875826e-05
1.346711.5224731.865877e-05
1.352571.5224541.855884e-05
1.358451.5224361.845849e-05
1.364361.5224181.835769e-05
1.370291.5223991.825646e-05
1.376251.5223821.815479e-05
1.382241.5223641.805267e-05
1.388251.5223461.795012e-05
1.394291.5223291.784711e-05
1.400351.5223111.774366e-05
1.406441.5222941.763976e-05
1.412561.5222771.753540e-05
1.41871.522261.743059e-05
1.424871.5222441.732533e-05
1.431071.5222271.721961e-05
1.43731.5222111.711343e-05
1.443551.5221941.700678e-05
1.449831.5221781.689967e-05
1.4551.5221651.681140e-05
1.456131.5221621.679497e-05
1.462461.5221471.670296e-05
1.468831.5221311.661056e-05
1.471.5221281.659350e-05
1.475211.5221151.652026e-05
1.481631.52211.643013e-05
1.4851.5220921.638280e-05
1.488071.5220851.634099e-05
1.494551.522071.625296e-05
1.51.5220571.617880e-05
1.501051.5220551.616502e-05
1.507581.522041.607910e-05
1.514131.5220251.599281e-05
1.5151.5220241.598140e-05
1.520721.5220111.590851e-05
1.527331.5219971.582420e-05
1.531.5219911.579020e-05
1.533981.5219821.574108e-05
1.540651.5219681.565866e-05
1.5451.5219591.560490e-05
1.547351.5219541.557678e-05
1.554081.521941.549620e-05
1.561.5219281.542530e-05
1.560841.5219271.541557e-05
1.567631.5219131.533678e-05
1.574451.5218991.525764e-05
1.5751.5218981.525120e-05
1.581291.5218861.518030e-05
1.588171.5218731.510281e-05
1.591.5218691.508220e-05
1.595081.521861.502668e-05
1.602021.5218471.495082e-05
1.6051.5218411.491820e-05
1.608981.5218341.487592e-05
1.615981.5218211.480164e-05
1.621.5218141.475900e-05
1.623011.5218081.472795e-05
1.630071.5217961.465515e-05
1.6351.5217871.460430e-05
1.637161.5217841.458267e-05
1.644281.5217711.451137e-05
1.651.5217611.445410e-05
1.651431.5217591.444015e-05
1.658611.5217471.437019e-05
1.6651.5217361.430800e-05
1.665831.5217351.430015e-05
1.673071.5217231.423156e-05
1.681.5217121.416600e-05
1.680351.5217111.416277e-05
1.687661.52171.409548e-05
1.6951.5216881.402790e-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
—