Optical constants

Refractive index of J-SK11 (HIKARI)

J-SK11: n,k 0.365–2.058 µm

Data
formula 3 + tabulated k
Range
0.365–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.058 µm
Refractive index n
1.56384
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.44559
Permittivity ε2
1.46322e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
60.707
Chromatic dispersion dn/dλ
-0.0480343 µm⁻¹
Group index ng
1.59206
Group velocity dispersion
83.2665 fs²/mm
Dispersion parameter D
-454.263 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

# J-SK11 (HIKARI): J-SK11
hikari_j_sk11 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SK11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sk11.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_sk11.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

Polynomial (formula 3), λ in µm
n2=2.40941529−0.0092912299⁢λ2.0−9.6509289×10-5⁢λ4.0+0.0131170272⁢λ−2.0+0.000153988355⁢λ−4.0+4.69136387×10-6⁢λ−6.0−2.59660236×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.40941529
C2-0.0092912299
C32.0
C4-9.6509289e-05
C54.0
C60.0131170272
C7-2.0
C80.000153988355
C9-4.0
C104.69136387e-06
C11-6.0
C12-2.59660236e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.8051e-06 2.1697e-08 -3.0016e-12 4.3032e-07 1.0179e-10 0.18139
nd
1.563840
Vd
60.706839
density
value: 3060
thermal expansion
value: 6.4e-06, temperature range: 243 343
dPgF
-0.0014
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.83e-06 K⁻¹ at 633 nm, dn/dT = 1.38e-06 K⁻¹ at 1310 nm, dn/dT = 1.34e-06 K⁻¹ at 1550 nm

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 421 wavelengths, the same grid as the API and the library
J-SK11 (HIKARI), J-SK11: n and k versus wavelength
λ (µm)nk
0.3650151.5865695.567538e-08
0.3666011.5862355.117006e-08
0.3681931.5859054.664517e-08
0.3697931.5855794.210062e-08
0.371.5855374.151200e-08
0.3713991.5852553.995598e-08
0.3730131.5849353.816183e-08
0.3746331.5846193.635989e-08
0.3762611.5843053.455011e-08
0.3778951.5839953.273248e-08
0.3795371.5836873.090695e-08
0.381.5836013.039200e-08
0.3811861.5833832.826328e-08
0.3828421.5830822.529034e-08
0.3845051.5827842.230448e-08
0.3861751.5824881.930565e-08
0.3878531.5821961.629379e-08
0.3895381.5819071.326885e-08
0.391.5818281.243900e-08
0.391231.581621.130071e-08
0.392931.5813379.727855e-09
0.3946371.5810568.148167e-09
0.3963511.5807786.561615e-09
0.3980731.5805024.968171e-09
0.3998021.580233.367806e-09
0.41.5801993.184700e-09
0.4015391.579963.196950e-09
0.4032831.5796933.210835e-09
0.4050351.5794283.224781e-09
0.4067951.5791663.238787e-09
0.4085621.5789063.252854e-09
0.4103371.5786493.266982e-09
0.412121.5783953.281172e-09
0.413911.5781433.295423e-09
0.4157081.5778933.309736e-09
0.4175141.5776463.324111e-09
0.4193281.5774013.338549e-09
0.421.5773113.343900e-09
0.4211491.5771583.353055e-09
0.4229791.5769183.367628e-09
0.4248171.576683.382263e-09
0.4266621.5764443.396963e-09
0.4285161.5762113.411726e-09
0.4303771.575983.426554e-09
0.4322471.5757513.441445e-09
0.4341251.5755243.456402e-09
0.436011.5752993.471423e-09
0.4379051.5750773.486510e-09
0.4398071.5748563.501663e-09
0.441.5748343.503200e-09
0.4417181.5746383.516872e-09
0.4436371.5744223.532147e-09
0.4455641.5742073.547488e-09
0.4474991.5739953.562895e-09
0.4494431.5737853.578370e-09
0.4513961.5735763.593912e-09
0.4533571.573373.609521e-09
0.4553261.5731653.625198e-09
0.4573041.5729633.640943e-09
0.4592911.5727623.656757e-09
0.461.5726913.662400e-09
0.4612861.5725633.672639e-09
0.463291.5723663.688591e-09
0.4653031.572173.704611e-09
0.4673241.5719773.720702e-09
0.4693541.5717853.736862e-09
0.4713931.5715953.753092e-09
0.4734411.5714073.769393e-09
0.4754981.571223.785764e-09
0.4775641.5710353.802207e-09
0.4796381.5708523.818721e-09
0.481.570823.821600e-09
0.4817221.570673.835316e-09
0.4838151.570493.851984e-09
0.4859171.5703123.868725e-09
0.4880271.5701353.885539e-09
0.4901481.569963.902426e-09
0.4922771.5697863.919386e-09
0.4944151.5696143.936419e-09
0.4965631.5694443.953527e-09
0.4987211.5692753.970709e-09
0.51.5691763.980900e-09
0.5008871.5691073.987963e-09
0.5030631.5689414.005288e-09
0.5052481.5687774.022688e-09
0.5074431.5686134.040164e-09
0.5096481.5684524.057716e-09
0.5118621.5682914.075344e-09
0.5140861.5681324.093049e-09
0.5163191.5679754.110830e-09
0.5185621.5678184.128689e-09
0.5208151.5676644.146626e-09
0.5230771.567514.164640e-09
0.5253491.5673584.182733e-09
0.5276321.5672074.200904e-09
0.5299241.5670574.219154e-09
0.5322261.5669094.237483e-09
0.5345381.5667624.255893e-09
0.536861.5666164.274382e-09
0.5391931.5664714.292951e-09
0.5415351.5663284.311601e-09
0.5438871.5661864.330332e-09
0.546251.5660454.349144e-09
0.5486231.5659054.368039e-09
0.551.5658254.379000e-09
0.5510071.5657664.387013e-09
0.55341.5656294.406067e-09
0.5558041.5654934.425203e-09
0.5582191.5653574.444423e-09
0.5606441.5652234.463726e-09
0.563081.565094.483113e-09
0.5655261.5649584.502585e-09
0.5679821.5648274.522141e-09
0.570451.5646984.541782e-09
0.5729281.5645694.561508e-09
0.5754171.5644414.581320e-09
0.5779171.5643144.601218e-09
0.5804271.5641894.621202e-09
0.5829491.5640644.641273e-09
0.5854811.563944.661432e-09
0.5880251.5638184.681678e-09
0.5905791.5636964.702012e-09
0.5931451.5635754.722434e-09
0.5957221.5634564.742945e-09
0.598311.5633374.763545e-09
0.61.563264.777000e-09
0.6009091.5632194.784237e-09
0.6035191.5631024.805021e-09
0.6061411.5629864.825896e-09
0.6087741.562874.846862e-09
0.6114191.5627564.867919e-09
0.6140751.5626434.889067e-09
0.6167431.562534.910307e-09
0.6194221.5624184.931640e-09
0.6221131.5623074.953065e-09
0.6248161.5621974.974583e-09
0.627531.5620884.996194e-09
0.6302561.561985.017900e-09
0.6329941.5618725.039700e-09
0.6357441.5617655.061594e-09
0.6385061.5616595.083584e-09
0.641281.5615545.105669e-09
0.6440661.561455.127850e-09
0.6468641.5613465.150127e-09
0.6496741.5612435.172502e-09
0.651.5612315.175100e-09
0.6524961.5611415.194973e-09
0.6553311.5610395.217542e-09
0.6581781.5609395.240209e-09
0.6610371.5608395.262975e-09
0.6639081.5607395.285839e-09
0.6667931.5606415.308803e-09
0.6696891.5605435.331867e-09
0.6725991.5604455.355030e-09
0.6755211.5603495.378295e-09
0.6784551.5602535.401660e-09
0.6814031.5601585.425127e-09
0.6843631.5600635.448696e-09
0.6873361.5599695.472367e-09
0.6903221.5598765.496141e-09
0.6933211.5597835.520019e-09
0.6963331.5596915.544000e-09
0.6993581.5595995.568085e-09
0.71.559585.573200e-09
0.7023961.5595086.050985e-09
0.7054471.5594186.659514e-09
0.7085121.5593287.270687e-09
0.711591.5592397.884514e-09
0.7146811.5591518.501009e-09
0.7177861.5590639.120181e-09
0.7209041.5589759.742043e-09
0.7240361.5588881.036661e-08
0.7271811.5588021.099388e-08
0.730341.5587161.162389e-08
0.7335131.5586311.225663e-08
0.73671.5585461.289211e-08
0.73991.5584611.353036e-08
0.7431141.5583781.417138e-08
0.7463421.5582941.481519e-08
0.7495851.5582121.546179e-08
0.7528411.5581291.611120e-08
0.7561121.5580471.676344e-08
0.7593961.5579661.741850e-08
0.7626951.5578851.807641e-08
0.7660091.5578051.873718e-08
0.7693361.5577251.940082e-08
0.7726791.5576452.006735e-08
0.7760351.5575662.073677e-08
0.7794071.5574872.140910e-08
0.7827931.5574092.208434e-08
0.7861931.5573312.276252e-08
0.7896091.5572542.344365e-08
0.7930391.5571762.412774e-08
0.7964841.55712.481480e-08
0.7999441.5570242.550484e-08
0.81.5570222.551600e-08
0.8034191.5569482.488856e-08
0.8069091.5568722.424809e-08
0.8104151.5567972.360484e-08
0.8139351.5567222.295879e-08
0.8174711.5566482.230993e-08
0.8210231.5565742.165825e-08
0.8245891.55652.100375e-08
0.8281721.5564272.034640e-08
0.8317691.5563541.968619e-08
0.8353831.5562811.902312e-08
0.8390121.5562081.835716e-08
0.8426571.5561361.768832e-08
0.8463171.5560651.701657e-08
0.8499941.5559931.634189e-08
0.8536871.5559221.566429e-08
0.8573951.5558511.498375e-08
0.861121.5557811.430024e-08
0.8648611.555711.361377e-08
0.8686181.555641.292432e-08
0.8723911.5555711.223187e-08
0.8761811.5555011.153641e-08
0.8799881.5554321.083794e-08
0.8838111.5553631.013642e-08
0.887651.5552949.431864e-09
0.8915061.5552268.724243e-09
0.8953791.5551578.013548e-09
0.8992691.5550897.299766e-09
0.91.5550777.165600e-09
0.9031751.5550227.190880e-09
0.9070991.5549547.222116e-09
0.911041.5548877.253487e-09
0.9149981.554827.284995e-09
0.9189721.5547537.316640e-09
0.9229651.5546867.348422e-09
0.9269741.5546197.380342e-09
0.9310011.5545537.412401e-09
0.9350461.5544877.444599e-09
0.9391081.5544217.476937e-09
0.9431881.5543557.509416e-09
0.9472851.5542897.542036e-09
0.95141.5542247.574797e-09
0.9555331.5541587.607701e-09
0.9596841.5540937.640747e-09
0.9638531.5540287.673937e-09
0.9680411.5539637.707272e-09
0.9722461.5538997.740751e-09
0.976471.5538347.774375e-09
0.9807121.5537697.808146e-09
0.9849721.5537057.842063e-09
0.9892511.5536417.876128e-09
0.9935491.5535777.910341e-09
0.9978651.5535137.944702e-09
11.5534817.961700e-09
1.00221.5534497.979215e-09
1.006551.5533858.013880e-09
1.010931.5533218.048695e-09
1.015321.5532578.083662e-09
1.019731.5531948.118781e-09
1.024161.553138.154052e-09
1.028611.5530678.189476e-09
1.033081.5530038.225055e-09
1.037561.552948.260787e-09
1.042071.5528778.296676e-09
1.04661.5528138.332720e-09
1.051151.552758.368920e-09
1.055711.5526878.405278e-09
1.06031.5526248.441794e-09
1.06491.5525618.478468e-09
1.069531.5524988.515302e-09
1.074181.5524348.552296e-09
1.078841.5523718.589450e-09
1.083531.5523088.626766e-09
1.088241.5522458.664244e-09
1.092961.5521828.701885e-09
1.097711.5521198.739689e-09
1.102481.5520568.777658e-09
1.107271.5519938.815791e-09
1.112081.551938.854090e-09
1.116911.5518678.892556e-09
1.121761.5518048.931189e-09
1.126641.551748.969989e-09
1.131531.5516779.008958e-09
1.136451.5516149.048097e-09
1.141381.551559.087405e-09
1.146341.5514879.126884e-09
1.151321.5514249.166535e-09
1.156321.551369.206357e-09
1.161351.5512969.246353e-09
1.166391.5512339.286523e-09
1.171461.5511699.326867e-09
1.176551.5511059.367386e-09
1.181661.5510419.408082e-09
1.186791.5509779.448954e-09
1.191951.5509139.490004e-09
1.197131.5508489.531232e-09
1.21.5508139.554100e-09
1.202331.5507841.179881e-08
1.207551.550721.683412e-08
1.21281.5506552.189131e-08
1.218071.550592.697047e-08
1.223361.5505253.207169e-08
1.228671.550463.719508e-08
1.234011.5503954.234072e-08
1.239371.550334.750872e-08
1.244751.5502645.269917e-08
1.250161.5501985.791216e-08
1.255591.5501336.314780e-08
1.261051.5500676.840619e-08
1.266531.557.368742e-08
1.272031.5499347.899160e-08
1.277551.5498678.431881e-08
1.28311.5498018.966917e-08
1.288681.5497349.504277e-08
1.294281.5496671.004397e-07
1.29991.5495991.058601e-07
1.305551.5495321.113041e-07
1.311221.5494641.167716e-07
1.316911.5493961.222630e-07
1.322641.5493271.277782e-07
1.328381.5492591.333173e-07
1.334151.549191.388806e-07
1.339951.5491211.444679e-07
1.345771.5490521.500796e-07
1.351621.5489821.557156e-07
1.357491.5489131.613762e-07
1.363381.5488431.670613e-07
1.369311.5487721.727711e-07
1.375261.5487021.785057e-07
1.381231.5486311.842652e-07
1.387231.5485591.900498e-07
1.393261.5484881.958595e-07
1.399311.5484162.016944e-07
1.41.5484082.023600e-07
1.405391.5483441.996633e-07
1.411491.5482711.966079e-07
1.417631.5481991.935392e-07
1.423781.5481251.904572e-07
1.429971.5480521.873618e-07
1.436181.5479781.842529e-07
1.442421.5479041.811306e-07
1.448691.547831.779947e-07
1.454981.5477551.748451e-07
1.46131.5476791.716819e-07
1.467651.5476041.685049e-07
1.474031.5475281.653141e-07
1.480431.5474511.621095e-07
1.486861.5473751.588909e-07
1.493321.5472971.556584e-07
1.499811.547221.524118e-07
1.506321.5471421.491511e-07
1.512871.5470631.458763e-07
1.519441.5469851.425872e-07
1.526041.5469051.392838e-07
1.532671.5468261.359661e-07
1.539331.5467451.326340e-07
1.546011.5466651.292874e-07
1.552731.5465841.259262e-07
1.559481.5465021.225505e-07
1.566251.546421.191601e-07
1.573051.5463371.157549e-07
1.579891.5462541.123350e-07
1.586751.5461711.089002e-07
1.593641.5460871.054505e-07
1.61.5460091.022700e-07
1.600571.5460021.028013e-07
1.607521.5459171.093064e-07
1.61451.5458321.158398e-07
1.621521.5457461.224015e-07
1.628561.5456591.289918e-07
1.635641.5455721.356107e-07
1.642741.5454841.422583e-07
1.649881.5453961.489348e-07
1.657051.5453071.556403e-07
1.664251.5452171.623750e-07
1.671481.5451271.691389e-07
1.678741.5450371.759322e-07
1.686031.5449461.827550e-07
1.693351.5448541.896074e-07
1.700711.5447611.964896e-07
1.70811.5446682.034018e-07
1.715521.5445742.103439e-07
1.722971.544482.173162e-07
1.730461.5443852.243188e-07
1.737971.5442892.313518e-07
1.745521.5441932.384153e-07
1.753111.5440962.455096e-07
1.760721.5439982.526346e-07
1.768371.54392.597907e-07
1.776051.5438012.669778e-07
1.783771.5437012.741961e-07
1.791521.5436012.814458e-07
1.79931.5434992.887270e-07
1.81.543492.893800e-07
1.807121.5433973.010260e-07
1.814971.5432953.138694e-07
1.822851.5431913.267687e-07
1.830771.5430873.397241e-07
1.838731.5429823.527357e-07
1.846711.5428763.658038e-07
1.854741.5427693.789287e-07
1.862791.5426623.921106e-07
1.870891.5425544.053498e-07
1.879011.5424454.186465e-07
1.887181.5423354.320010e-07
1.895371.5422244.454135e-07
1.903611.5421124.588842e-07
1.911881.5424.724135e-07
1.920181.5418874.860015e-07
1.928531.5417724.996486e-07
1.93691.5416575.133549e-07
1.945321.5415415.271208e-07
1.953771.5414245.409465e-07
1.962261.5413075.548323e-07
1.970781.5411885.687784e-07
1.979341.5410685.827851e-07
1.987941.5409475.968526e-07
1.996581.5408266.109812e-07
21.5407776.165800e-07
2.005251.5407036.644073e-07
2.013961.540587.437461e-07
2.022711.5404558.234297e-07
2.03151.5403299.034593e-07
2.040321.5402039.838367e-07
2.049191.5400751.064563e-06
2.058091.5399461.145640e-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
—