Optical constants

Refractive index of J-SK4 (HIKARI)

J-SK4: 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
1.61272
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.60086
Permittivity ε2
9.07647e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
58.54
Chromatic dispersion dn/dλ
-0.0540339 µm⁻¹
Group index ng
1.64447
Group velocity dispersion
94.9789 fs²/mm
Dispersion parameter D
-518.16 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-SK4 (HIKARI): J-SK4
hikari_j_sk4 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SK4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sk4.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_sk4.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=2.55820861−0.0096306219⁢λ2.0−0.000105056878⁢λ4.0+0.0152842971⁢λ−2.0+0.000188241434⁢λ−4.0+5.74199467×10-6⁢λ−6.0+3.67306869×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.55820861
C2-0.0096306219
C32.0
C4-0.000105056878
C54.0
C60.0152842971
C7-2.0
C80.000188241434
C9-4.0
C105.74199467e-06
C11-6.0
C123.67306869e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.14e-06 1.419e-08 -2.1743e-12 4.8054e-07 4.8998e-10 0.18421
nd
1.612720
Vd
58.540463
density
value: 3530
thermal expansion
value: 6.2e-06, temperature range: 243 343
dPgF
-0.0015
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.21e-06 K⁻¹ at 633 nm, dn/dT = 6.92e-07 K⁻¹ at 1310 nm, dn/dT = 6.49e-07 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-SK4 (HIKARI), J-SK4: n and k versus wavelength
λ (µm)nk
0.3650151.6385322.800916e-07
0.3666011.6381512.559476e-07
0.3681931.6377732.316987e-07
0.3697931.63742.073444e-07
0.371.6373522.041900e-07
0.3713991.637031.924513e-07
0.3730131.6366641.789161e-07
0.3746331.6363021.653221e-07
0.3762611.6359441.516691e-07
0.3778951.6355891.379567e-07
0.3795371.6352381.241848e-07
0.381.635141.203000e-07
0.3811861.634891.157301e-07
0.3828421.6345461.093479e-07
0.3845051.6342061.029379e-07
0.3861751.6338699.650013e-08
0.3878531.6335369.003435e-08
0.3895381.6332068.354049e-08
0.391.6331168.175900e-08
0.391231.6328797.841571e-08
0.392931.6325557.379604e-08
0.3946371.6322356.915630e-08
0.3963511.6319186.449641e-08
0.3980731.6316045.981627e-08
0.3998021.6312935.511580e-08
0.41.6312585.457800e-08
0.4015391.6309865.322293e-08
0.4032831.6306815.168701e-08
0.4050351.630385.014441e-08
0.4067951.6300814.859511e-08
0.4085621.6297864.703908e-08
0.4103371.6294934.547629e-08
0.412121.6292034.390671e-08
0.413911.6289164.233031e-08
0.4157081.6286324.074707e-08
0.4175141.6283513.915694e-08
0.4193281.6280723.755991e-08
0.421.627973.696800e-08
0.4211491.6277963.686582e-08
0.4229791.6275233.670317e-08
0.4248171.6272523.653981e-08
0.4266621.6269853.637575e-08
0.4285161.6267193.621097e-08
0.4303771.6264563.604548e-08
0.4322471.6261963.587926e-08
0.4341251.6259383.571233e-08
0.436011.6256833.554467e-08
0.4379051.625433.537628e-08
0.4398071.625183.520716e-08
0.441.6251553.519000e-08
0.4417181.6249323.469293e-08
0.4436371.6246863.413759e-08
0.4455641.6244433.357984e-08
0.4474991.6242023.301967e-08
0.4494431.6239633.245706e-08
0.4513961.6237273.189201e-08
0.4533571.6234923.132451e-08
0.4553261.623263.075454e-08
0.4573041.623033.018209e-08
0.4592911.6228032.960716e-08
0.461.6227222.940200e-08
0.4612861.6225772.923670e-08
0.463291.6223532.897920e-08
0.4653031.6221322.872057e-08
0.4673241.6219122.846083e-08
0.4693541.6216952.819995e-08
0.4713931.621482.793794e-08
0.4734411.6212662.767479e-08
0.4754981.6210552.741050e-08
0.4775641.6208452.714506e-08
0.4796381.6206382.687847e-08
0.481.6206022.683200e-08
0.4817221.6204322.658342e-08
0.4838151.6202282.628134e-08
0.4859171.6200262.597795e-08
0.4880271.6198262.567323e-08
0.4901481.6196282.536720e-08
0.4922771.6194322.505983e-08
0.4944151.6192372.475113e-08
0.4965631.6190442.444108e-08
0.4987211.6188532.412969e-08
0.51.618742.394500e-08
0.5008871.6186632.398749e-08
0.5030631.6184752.409172e-08
0.5052481.6182892.419640e-08
0.5074431.6181052.430154e-08
0.5096481.6179222.440713e-08
0.5118621.617742.451318e-08
0.5140861.6175612.461970e-08
0.5163191.6173832.472667e-08
0.5185621.6172062.483411e-08
0.5208151.6170312.494202e-08
0.5230771.6168582.505039e-08
0.5253491.6166862.515924e-08
0.5276321.6165152.526856e-08
0.5299241.6163462.537835e-08
0.5322261.6161792.548863e-08
0.5345381.6160132.559938e-08
0.536861.6158482.571061e-08
0.5391931.6156852.582232e-08
0.5415351.6155232.593452e-08
0.5438871.6153632.604721e-08
0.546251.6152042.616039e-08
0.5486231.6150462.627405e-08
0.551.6149562.634000e-08
0.5510071.614892.638820e-08
0.55341.6147352.650281e-08
0.5558041.6145812.661792e-08
0.5582191.6144292.673352e-08
0.5606441.6142772.684963e-08
0.563081.6141272.696625e-08
0.5655261.6139792.708337e-08
0.5679821.6138312.720100e-08
0.570451.6136852.731914e-08
0.5729281.613542.743780e-08
0.5754171.6133962.755697e-08
0.5779171.6132542.767666e-08
0.5804271.6131122.779686e-08
0.5829491.6129722.791759e-08
0.5854811.6128332.803885e-08
0.5880251.6126952.816063e-08
0.5905791.6125582.828294e-08
0.5931451.6124222.840578e-08
0.5957221.6122882.852916e-08
0.598311.6121542.865307e-08
0.61.6120682.873400e-08
0.6009091.6120212.887217e-08
0.6035191.611892.926902e-08
0.6061411.611762.966759e-08
0.6087741.611633.006789e-08
0.6114191.6115023.046993e-08
0.6140751.6113743.087372e-08
0.6167431.6112483.127926e-08
0.6194221.6111233.168656e-08
0.6221131.6109983.209564e-08
0.6248161.6108753.250649e-08
0.627531.6107523.291912e-08
0.6302561.610633.333355e-08
0.6329941.610513.374978e-08
0.6357441.610393.416781e-08
0.6385061.6102713.458766e-08
0.641281.6101533.500934e-08
0.6440661.6100363.543285e-08
0.6468641.609923.585819e-08
0.6496741.6098053.628539e-08
0.651.6097913.633500e-08
0.6524961.609693.647453e-08
0.6553311.6095773.663298e-08
0.6581781.6094643.679212e-08
0.6610371.6093523.695196e-08
0.6639081.6092413.711248e-08
0.6667931.6091313.727371e-08
0.6696891.6090213.743563e-08
0.6725991.6089123.759826e-08
0.6755211.6088043.776160e-08
0.6784551.6086973.792565e-08
0.6814031.6085913.809040e-08
0.6843631.6084853.825588e-08
0.6873361.608383.842207e-08
0.6903221.6082763.858898e-08
0.6933211.6081723.875662e-08
0.6963331.608073.892499e-08
0.6993581.6079683.909409e-08
0.71.6079463.913000e-08
0.7023961.6078663.972540e-08
0.7054471.6077654.048373e-08
0.7085121.6076654.124535e-08
0.711591.6075664.201028e-08
0.7146811.6074674.277853e-08
0.7177861.6073694.355012e-08
0.7209041.6072724.432506e-08
0.7240361.6071754.510337e-08
0.7271811.6070794.588506e-08
0.730341.6069844.667015e-08
0.7335131.6068894.745864e-08
0.73671.6067944.825057e-08
0.73991.6067014.904593e-08
0.7431141.6066084.984475e-08
0.7463421.6065155.064703e-08
0.7495851.6064235.145281e-08
0.7528411.6063325.226208e-08
0.7561121.6062415.307487e-08
0.7593961.6061515.389119e-08
0.7626951.6060615.471106e-08
0.7660091.6059725.553448e-08
0.7693361.6058835.636149e-08
0.7726791.6057955.719209e-08
0.7760351.6057075.802629e-08
0.7794071.605625.886412e-08
0.7827931.6055335.970559e-08
0.7861931.6054476.055072e-08
0.7896091.6053626.139952e-08
0.7930391.6052766.225200e-08
0.7964841.6051926.310819e-08
0.7999441.6051076.396809e-08
0.81.6051066.398200e-08
0.8034191.6050246.228458e-08
0.8069091.604946.055188e-08
0.8104151.6048575.881166e-08
0.8139351.6047755.706388e-08
0.8174711.6046935.530850e-08
0.8210231.6046115.354550e-08
0.8245891.604535.177484e-08
0.8281721.6044494.999649e-08
0.8317691.6043694.821041e-08
0.8353831.6042894.641657e-08
0.8390121.6042094.461494e-08
0.8426571.604134.280549e-08
0.8463171.6040514.098817e-08
0.8499941.6039723.916296e-08
0.8536871.6038943.732982e-08
0.8573951.6038163.548871e-08
0.861121.6037393.363961e-08
0.8648611.6036623.178248e-08
0.8686181.6035852.991727e-08
0.8723911.6035082.804397e-08
0.8761811.6034322.616252e-08
0.8799881.6033562.427290e-08
0.8838111.6032812.237508e-08
0.887651.6032062.046901e-08
0.8915061.6031311.855465e-08
0.8953791.6030561.663199e-08
0.8992691.6029821.470096e-08
0.91.6029681.433800e-08
0.9031751.6029081.514937e-08
0.9070991.6028341.615189e-08
0.911041.602761.715877e-08
0.9149981.6026871.817002e-08
0.9189721.6026141.918566e-08
0.9229651.6025422.020572e-08
0.9269741.6024692.123020e-08
0.9310011.6023972.225914e-08
0.9350461.6023252.329255e-08
0.9391081.6022532.433044e-08
0.9431881.6021812.537285e-08
0.9472851.602112.641978e-08
0.95141.6020392.747126e-08
0.9555331.6019682.852731e-08
0.9596841.6018972.958795e-08
0.9638531.6018273.065320e-08
0.9680411.6017563.172307e-08
0.9722461.6016863.279759e-08
0.976471.6016163.387678e-08
0.9807121.6015463.496065e-08
0.9849721.6014763.604924e-08
0.9892511.6014073.714255e-08
0.9935491.6013383.824062e-08
0.9978651.6012683.934345e-08
11.6012343.988900e-08
1.00221.6011993.976583e-08
1.006551.601133.952206e-08
1.010931.6010623.927724e-08
1.015321.6009933.903134e-08
1.019731.6009243.878438e-08
1.024161.6008563.853635e-08
1.028611.6007873.828724e-08
1.033081.6007193.803705e-08
1.037561.6006513.778577e-08
1.042071.6005833.753340e-08
1.04661.6005153.727993e-08
1.051151.6004473.702537e-08
1.055711.6003793.676969e-08
1.06031.6003123.651291e-08
1.06491.6002443.625501e-08
1.069531.6001763.599599e-08
1.074181.6001093.573584e-08
1.078841.6000413.547456e-08
1.083531.5999743.521215e-08
1.088241.5999063.494860e-08
1.092961.5998393.468391e-08
1.097711.5997713.441806e-08
1.102481.5997043.415106e-08
1.107271.5996373.388290e-08
1.112081.5995693.361357e-08
1.116911.5995023.334308e-08
1.121761.5994353.307141e-08
1.126641.5993673.279856e-08
1.131531.59933.252452e-08
1.136451.5992333.224929e-08
1.141381.5991653.197287e-08
1.146341.5990983.169525e-08
1.151321.599033.141642e-08
1.156321.5989633.113638e-08
1.161351.5988953.085512e-08
1.166391.5988283.057264e-08
1.171461.598763.028894e-08
1.176551.5986933.000400e-08
1.181661.5986252.971782e-08
1.186791.5985572.943040e-08
1.191951.5984892.914173e-08
1.197131.5984212.885181e-08
1.21.5983832.869100e-08
1.202331.5983533.018563e-08
1.207551.5982853.353837e-08
1.21281.5982163.690568e-08
1.218071.5981484.028762e-08
1.223361.598084.368425e-08
1.228671.5980114.709563e-08
1.234011.5979425.052183e-08
1.239371.5978735.396292e-08
1.244751.5978045.741896e-08
1.250161.5977356.089001e-08
1.255591.5976666.437614e-08
1.261051.5975976.787742e-08
1.266531.5975277.139390e-08
1.272031.5974577.492567e-08
1.277551.5973877.847277e-08
1.28311.5973178.203528e-08
1.288681.5972478.561328e-08
1.294281.5971778.920681e-08
1.29991.5971069.281595e-08
1.305551.5970359.644078e-08
1.311221.5969641.000814e-07
1.316911.5968931.037377e-07
1.322641.5968221.074100e-07
1.328381.596751.110982e-07
1.334151.5966781.148025e-07
1.339951.5966061.185228e-07
1.345771.5965341.222593e-07
1.351621.5964611.260121e-07
1.357491.5963881.297811e-07
1.363381.5963151.335665e-07
1.369311.5962421.373684e-07
1.375261.5961681.411867e-07
1.381231.5960941.450217e-07
1.387231.596021.488733e-07
1.393261.5959461.527416e-07
1.399311.5958711.566268e-07
1.41.5958621.570700e-07
1.405391.5957961.562857e-07
1.411491.5957211.553971e-07
1.417631.5956451.545046e-07
1.423781.5955691.536082e-07
1.429971.5954931.527080e-07
1.436181.5954161.518038e-07
1.442421.5953391.508957e-07
1.448691.5952621.499836e-07
1.454981.5951841.490676e-07
1.46131.5951061.481476e-07
1.467651.5950281.472236e-07
1.474031.5949491.462956e-07
1.480431.594871.453636e-07
1.486861.5947911.444275e-07
1.493321.5947111.434874e-07
1.499811.594631.425432e-07
1.506321.594551.415948e-07
1.512871.5944691.406424e-07
1.519441.5943871.396858e-07
1.526041.5943051.387250e-07
1.532671.5942231.377601e-07
1.539331.594141.367910e-07
1.546011.5940571.358177e-07
1.552731.5939731.348401e-07
1.559481.5938891.338583e-07
1.566251.5938051.328723e-07
1.573051.593721.318819e-07
1.579891.5936341.308873e-07
1.586751.5935481.298883e-07
1.593641.5934621.288850e-07
1.61.5933821.279600e-07
1.600571.5933751.285015e-07
1.607521.5932871.351307e-07
1.61451.5931991.417887e-07
1.621521.593111.484756e-07
1.628561.5930211.551916e-07
1.635641.5929321.619368e-07
1.642741.5928421.687113e-07
1.649881.5927511.755152e-07
1.657051.592661.823486e-07
1.664251.5925681.892118e-07
1.671481.5924751.961047e-07
1.678741.5923822.030276e-07
1.686031.5922892.099806e-07
1.693351.5921942.169638e-07
1.700711.59212.239773e-07
1.70811.5920042.310213e-07
1.715521.5919082.380959e-07
1.722971.5918112.452012e-07
1.730461.5917142.523374e-07
1.737971.5916162.595046e-07
1.745521.5915172.667029e-07
1.753111.5914182.739325e-07
1.760721.5913182.811936e-07
1.768371.5912172.884861e-07
1.776051.5911162.958103e-07
1.783771.5910143.031664e-07
1.791521.5909113.105544e-07
1.79931.5908073.179745e-07
1.81.5907983.186400e-07
1.807121.5907033.298336e-07
1.814971.5905983.421782e-07
1.822851.5904923.545764e-07
1.830771.5903863.670285e-07
1.838731.5902783.795346e-07
1.846711.590173.920951e-07
1.854741.5900614.047102e-07
1.862791.5899524.173801e-07
1.870891.5898414.301050e-07
1.879011.589734.428852e-07
1.887181.5896184.557209e-07
1.895371.5895054.686124e-07
1.903611.5893914.815598e-07
1.911881.5892764.945636e-07
1.920181.589165.076238e-07
1.928531.5890445.207407e-07
1.93691.5889265.339147e-07
1.945321.5888085.471458e-07
1.953771.5886895.604345e-07
1.962261.5885695.737809e-07
1.970781.5884485.871852e-07
1.979341.5883266.006478e-07
1.987941.5882036.141689e-07
1.996581.5880796.277487e-07
21.588036.331300e-07
2.005251.5879546.752687e-07
2.013961.5878287.451711e-07
2.022711.5877018.153771e-07
2.03151.5875738.858882e-07
2.040321.5874449.567055e-07
2.049191.5873141.027831e-06
2.058091.5871831.099264e-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
—