Optical constants

Refractive index of J-LAK04 (HIKARI)

J-LAK04: 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
1.651
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.72579
Permittivity ε2
1.54477e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
56.238
Chromatic dispersion dn/dλ
-0.0597369 µm⁻¹
Group index ng
1.6861
Group velocity dispersion
105.288 fs²/mm
Dispersion parameter D
-574.401 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-LAK04 (HIKARI): J-LAK04
hikari_j_lak04 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK04", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak04.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak04.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=2.67775568−0.0109363526⁢λ2.0−0.000112368235⁢λ4.0+0.0171233781⁢λ−2.0+0.000257310134⁢λ−4.0+2.54752519×10-6⁢λ−6.0+1.89782794×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.67775568
C2-0.0109363526
C32.0
C4-0.000112368235
C54.0
C60.0171233781
C7-2.0
C80.000257310134
C9-4.0
C102.54752519e-06
C11-6.0
C121.89782794e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.2612e-06 1.0752e-08 5.8447e-14 5.5752e-07 6.8011e-10 0.17205
nd
1.651000
Vd
56.237891
glass status
preferred
density
value: 3270
thermal expansion
value: 6.6e-06, temperature range: 243 343
dPgF
-0.0047
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.96e-06 K⁻¹ at 633 nm, dn/dT = 1.32e-06 K⁻¹ at 1310 nm, dn/dT = 1.27e-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-LAK04 (HIKARI), J-LAK04: n and k versus wavelength
λ (µm)nk
0.3650151.679581.981503e-07
0.3666011.6791581.802064e-07
0.3681931.6787391.621845e-07
0.3697931.6783261.440844e-07
0.371.6782721.417400e-07
0.3713991.6779161.330536e-07
0.3730131.6775111.230378e-07
0.3746331.677111.129785e-07
0.3762611.6767131.028755e-07
0.3778951.676329.272864e-08
0.3795371.6759318.253767e-08
0.381.6758227.966300e-08
0.3811861.6755467.615269e-08
0.3828421.6751657.125022e-08
0.3845051.6747886.632645e-08
0.3861751.6744156.138130e-08
0.3878531.6740455.641466e-08
0.3895381.673685.142644e-08
0.391.673585.005800e-08
0.391231.6733184.783574e-08
0.392931.6729594.476508e-08
0.3946371.6726044.168108e-08
0.3963511.6722533.858369e-08
0.3980731.6719063.547284e-08
0.3998021.6715613.234847e-08
0.41.6715223.199100e-08
0.4015391.6712213.081846e-08
0.4032831.6708832.948941e-08
0.4050351.6705492.815460e-08
0.4067951.6702192.681398e-08
0.4085621.6698912.546754e-08
0.4103371.6695672.411525e-08
0.412121.6692462.275709e-08
0.413911.6689282.139303e-08
0.4157081.6686132.002304e-08
0.4175141.6683021.864710e-08
0.4193281.6679931.726518e-08
0.421.667881.675300e-08
0.4211491.6676881.659674e-08
0.4229791.6673851.634801e-08
0.4248171.6670851.609820e-08
0.4266621.6667891.584730e-08
0.4285161.6664951.559531e-08
0.4303771.6662041.534223e-08
0.4322471.6659161.508805e-08
0.4341251.665631.483277e-08
0.436011.6653471.457638e-08
0.4379051.6650671.431887e-08
0.4398071.664791.406024e-08
0.441.6647621.403400e-08
0.4417181.6645151.408879e-08
0.4436371.6642431.415000e-08
0.4455641.6639741.421148e-08
0.4474991.6637071.427323e-08
0.4494431.6634421.433525e-08
0.4513961.663181.439753e-08
0.4533571.6629211.446009e-08
0.4553261.6626641.452291e-08
0.4573041.6624091.458601e-08
0.4592911.6621571.464939e-08
0.461.6620681.467200e-08
0.4612861.6619071.446644e-08
0.463291.661661.414621e-08
0.4653031.6614151.382459e-08
0.4673241.6611721.350157e-08
0.4693541.6609311.317715e-08
0.4713931.6606931.285132e-08
0.4734411.6604561.252408e-08
0.4754981.6602221.219541e-08
0.4775641.659991.186532e-08
0.4796381.6597611.153379e-08
0.481.6597211.147600e-08
0.4817221.6595331.117376e-08
0.4838151.6593071.080645e-08
0.4859171.6590841.043756e-08
0.4880271.6588621.006706e-08
0.4901481.6586439.694945e-09
0.4922771.6584259.321219e-09
0.4944151.658218.945868e-09
0.4965631.6579968.568887e-09
0.4987211.6577848.190268e-09
0.51.657667.965700e-09
0.5008871.6575747.902067e-09
0.5030631.6573677.745975e-09
0.5052481.657167.589206e-09
0.5074431.6569567.431756e-09
0.5096481.6567547.273622e-09
0.5118621.6565537.114801e-09
0.5140861.6563546.955289e-09
0.5163191.6561576.795085e-09
0.5185621.6559626.634185e-09
0.5208151.6557686.472586e-09
0.5230771.6555776.310285e-09
0.5253491.6553866.147279e-09
0.5276321.6551985.983565e-09
0.5299241.6550115.819139e-09
0.5322261.6548255.653999e-09
0.5345381.6546425.488142e-09
0.536861.654465.321565e-09
0.5391931.6542795.154263e-09
0.5415351.65414.986235e-09
0.5438871.6539234.817477e-09
0.546251.6537474.647986e-09
0.5486231.6535724.477758e-09
0.551.6534724.379000e-09
0.5510071.6533994.387013e-09
0.55341.6532284.406067e-09
0.5558041.6530584.425203e-09
0.5582191.6528894.444423e-09
0.5606441.6527224.463726e-09
0.563081.6525564.483113e-09
0.5655261.6523924.502585e-09
0.5679821.6522294.522141e-09
0.570451.6520674.541782e-09
0.5729281.6519074.561508e-09
0.5754171.6517484.581320e-09
0.5779171.651594.601218e-09
0.5804271.6514344.621202e-09
0.5829491.6512794.641273e-09
0.5854811.6511254.661432e-09
0.5880251.6509724.681678e-09
0.5905791.6508214.702012e-09
0.5931451.6506714.722434e-09
0.5957221.6505224.742945e-09
0.598311.6503744.763545e-09
0.61.6502794.777000e-09
0.6009091.6502284.878396e-09
0.6035191.6500825.169622e-09
0.6061411.6499385.462114e-09
0.6087741.6497955.755875e-09
0.6114191.6496536.050914e-09
0.6140751.6495136.347233e-09
0.6167431.6493736.644840e-09
0.6194221.6492346.943740e-09
0.6221131.6490977.243939e-09
0.6248161.648967.545442e-09
0.627531.6488257.848254e-09
0.6302561.6486918.152382e-09
0.6329941.6485578.457831e-09
0.6357441.6484258.764607e-09
0.6385061.6482949.072716e-09
0.641281.6481639.382163e-09
0.6440661.6480349.692955e-09
0.6468641.6479061.000510e-08
0.6496741.6477781.031859e-08
0.651.6477641.035500e-08
0.6524961.6476521.067354e-08
0.6553311.6475261.103529e-08
0.6581781.6474021.139861e-08
0.6610371.6472781.176351e-08
0.6639081.6471551.213000e-08
0.6667931.6470341.249808e-08
0.6696891.6469131.286776e-08
0.6725991.6467921.323904e-08
0.6755211.6466731.361194e-08
0.6784551.6465551.398645e-08
0.6814031.6464371.436259e-08
0.6843631.6463211.474037e-08
0.6873361.6462051.511979e-08
0.6903221.646091.550086e-08
0.6933211.6459751.588358e-08
0.6963331.6458621.626796e-08
0.6993581.6457491.665402e-08
0.71.6457251.673600e-08
0.7023961.6456371.740643e-08
0.7054471.6455261.826033e-08
0.7085121.6454161.911794e-08
0.711591.6453061.997927e-08
0.7146811.6451972.084434e-08
0.7177861.6450892.171317e-08
0.7209041.6449812.258578e-08
0.7240361.6448752.346217e-08
0.7271811.6447682.434238e-08
0.730341.6446632.522640e-08
0.7335131.6445582.611427e-08
0.73671.6444542.700599e-08
0.73991.6443512.790159e-08
0.7431141.6442482.880108e-08
0.7463421.6441462.970448e-08
0.7495851.6440443.061180e-08
0.7528411.6439443.152306e-08
0.7561121.6438433.243829e-08
0.7593961.6437443.335748e-08
0.7626951.6436453.428067e-08
0.7660091.6435463.520788e-08
0.7693361.6434483.613911e-08
0.7726791.6433513.707438e-08
0.7760351.6432543.801372e-08
0.7794071.6431583.895714e-08
0.7827931.6430623.990465e-08
0.7861931.6429674.085629e-08
0.7896091.6428734.181206e-08
0.7930391.6427794.277197e-08
0.7964841.6426854.373606e-08
0.7999441.6425924.470434e-08
0.81.6425914.472000e-08
0.8034191.64254.368118e-08
0.8069091.6424084.262078e-08
0.8104151.6423164.155576e-08
0.8139351.6422254.048613e-08
0.8174711.6421353.941184e-08
0.8210231.6420453.833289e-08
0.8245891.6419553.724925e-08
0.8281721.6418663.616090e-08
0.8317691.6417773.506783e-08
0.8353831.6416893.397000e-08
0.8390121.6416013.286741e-08
0.8426571.6415143.176003e-08
0.8463171.6414263.064784e-08
0.8499941.641342.953081e-08
0.8536871.6412542.840893e-08
0.8573951.6411682.728218e-08
0.861121.6410822.615054e-08
0.8648611.6409972.501397e-08
0.8686181.6409132.387247e-08
0.8723911.6408282.272602e-08
0.8761811.6407442.157458e-08
0.8799881.6406612.041814e-08
0.8838111.6405771.925667e-08
0.887651.6404941.809016e-08
0.8915061.6404121.691858e-08
0.8953791.6403291.574191e-08
0.8992691.6402471.456013e-08
0.91.6402321.433800e-08
0.9031751.6401661.464193e-08
0.9070991.6400841.501746e-08
0.911041.6400031.539462e-08
0.9149981.6399221.577341e-08
0.9189721.6398421.615386e-08
0.9229651.6397621.653595e-08
0.9269741.6396821.691971e-08
0.9310011.6396021.730513e-08
0.9350461.6395221.769223e-08
0.9391081.6394431.808101e-08
0.9431881.6393641.847148e-08
0.9472851.6392861.886364e-08
0.95141.6392071.925751e-08
0.9555331.6391291.965309e-08
0.9596841.6390512.005039e-08
0.9638531.6389732.044941e-08
0.9680411.6388952.085017e-08
0.9722461.6388182.125267e-08
0.976471.6387412.165692e-08
0.9807121.6386632.206292e-08
0.9849721.6385872.247069e-08
0.9892511.638512.288022e-08
0.9935491.6384332.329154e-08
0.9978651.6383572.370465e-08
11.6383192.390900e-08
1.00221.6382812.375111e-08
1.006551.6382052.343862e-08
1.010931.6381292.312477e-08
1.015321.6380532.280956e-08
1.019731.6379772.249298e-08
1.024161.6379022.217502e-08
1.028611.6378262.185568e-08
1.033081.6377512.153496e-08
1.037561.6376762.121284e-08
1.042071.6376012.088932e-08
1.04661.6375262.056440e-08
1.051151.6374512.023806e-08
1.055711.6373761.991031e-08
1.06031.6373011.958113e-08
1.06491.6372271.925052e-08
1.069531.6371521.891848e-08
1.074181.6370771.858500e-08
1.078841.6370031.825006e-08
1.083531.6369281.791367e-08
1.088241.6368541.757582e-08
1.092961.636781.723651e-08
1.097711.6367051.689571e-08
1.102481.6366311.655344e-08
1.107271.6365571.620968e-08
1.112081.6364821.586443e-08
1.116911.6364081.551768e-08
1.121761.6363341.516942e-08
1.126641.6362591.481964e-08
1.131531.6361851.446835e-08
1.136451.6361111.411554e-08
1.141381.6360361.376119e-08
1.146341.6359621.340530e-08
1.151321.6358871.304786e-08
1.156321.6358131.268887e-08
1.161351.6357381.232832e-08
1.166391.6356641.196621e-08
1.171461.6355891.160252e-08
1.176551.6355141.123725e-08
1.181661.6354391.087040e-08
1.186791.6353651.050195e-08
1.191951.635291.013190e-08
1.197131.6352149.760247e-09
1.21.6351739.554100e-09
1.202331.6351399.832571e-09
1.207551.6350641.045724e-08
1.21281.6349891.108462e-08
1.218071.6349131.171472e-08
1.223361.6348381.234756e-08
1.228671.6347621.298315e-08
1.234011.6346861.362151e-08
1.239371.634611.426263e-08
1.244751.6345341.490654e-08
1.250161.6344571.555325e-08
1.255591.6343811.620277e-08
1.261051.6343041.685511e-08
1.266531.6342271.751028e-08
1.272031.634151.816830e-08
1.277551.6340731.882918e-08
1.28311.6339961.949293e-08
1.288681.6339182.015956e-08
1.294281.633842.082909e-08
1.29991.6337622.150152e-08
1.305551.6336842.217688e-08
1.311221.6336062.285517e-08
1.316911.6335272.353641e-08
1.322641.6334482.422061e-08
1.328381.6333692.490778e-08
1.334151.633292.559794e-08
1.339951.633212.629109e-08
1.345771.633132.698726e-08
1.351621.633052.768645e-08
1.357491.6329692.838867e-08
1.363381.6328892.909395e-08
1.369311.6328082.980229e-08
1.375261.6327263.051371e-08
1.381231.6326453.122822e-08
1.387231.6325633.194583e-08
1.393261.6324813.266656e-08
1.399311.6323983.339043e-08
1.41.6323893.347300e-08
1.405391.6323153.532656e-08
1.411491.6322323.742670e-08
1.417631.6321483.953597e-08
1.423781.6320644.165440e-08
1.429971.631984.378203e-08
1.436181.6318954.591891e-08
1.442421.631814.806507e-08
1.448691.6317255.022055e-08
1.454981.6316395.238540e-08
1.46131.6315535.455965e-08
1.467651.6314665.674335e-08
1.474031.6313795.893653e-08
1.480431.6312926.113924e-08
1.486861.6312046.335152e-08
1.493321.6311166.557342e-08
1.499811.6310276.780496e-08
1.506321.6309387.004620e-08
1.512871.6308497.229717e-08
1.519441.6307597.455792e-08
1.526041.6306687.682850e-08
1.532671.6305777.910894e-08
1.539331.6304868.139928e-08
1.546011.6303948.369958e-08
1.552731.6303018.600987e-08
1.559481.6302088.833019e-08
1.566251.6301159.066059e-08
1.573051.6300219.300112e-08
1.579891.6299269.535182e-08
1.586751.6298319.771273e-08
1.593641.6297361.000839e-07
1.61.6296471.022700e-07
1.600571.6296391.028844e-07
1.607521.6295431.104068e-07
1.61451.6294451.179618e-07
1.621521.6293481.255497e-07
1.628561.6292491.331705e-07
1.635641.629151.408244e-07
1.642741.629051.485116e-07
1.649881.628951.562322e-07
1.657051.6288491.639863e-07
1.664251.6287481.717741e-07
1.671481.6286461.795958e-07
1.678741.6285431.874514e-07
1.686031.6284391.953411e-07
1.693351.6283352.032651e-07
1.700711.628232.112236e-07
1.70811.6281252.192166e-07
1.715521.6280192.272443e-07
1.722971.6279122.353069e-07
1.730461.6278042.434046e-07
1.737971.6276962.515374e-07
1.745521.6275872.597056e-07
1.753111.6274772.679092e-07
1.760721.6273662.761485e-07
1.768371.6272552.844235e-07
1.776051.6271432.927345e-07
1.783771.627033.010817e-07
1.791521.6269173.094650e-07
1.79931.6268023.178848e-07
1.81.6267923.186400e-07
1.807121.6266873.280682e-07
1.814971.6265713.384658e-07
1.822851.6264543.489086e-07
1.830771.6263363.593968e-07
1.838731.6262183.699306e-07
1.846711.6260983.805101e-07
1.854741.6259783.911356e-07
1.862791.6258574.018072e-07
1.870891.6257344.125252e-07
1.879011.6256114.232898e-07
1.887181.6254884.341011e-07
1.895371.6253634.449594e-07
1.903611.6252374.558648e-07
1.911881.625114.668177e-07
1.920181.6249824.778181e-07
1.928531.6248544.888663e-07
1.93691.6247244.999625e-07
1.945321.6245935.111069e-07
1.953771.6244625.222997e-07
1.962261.6243295.335412e-07
1.970781.6241955.448314e-07
1.979341.624065.561708e-07
1.987941.6239245.675593e-07
1.996581.6237885.789974e-07
21.6237335.835300e-07
2.005251.623656.166416e-07
2.013961.623516.715693e-07
2.022711.623377.267356e-07
2.03151.6232297.821416e-07
2.040321.6230868.377882e-07
2.049191.6229438.936766e-07
2.058091.6227989.498078e-07

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
—