Optical constants

Refractive index of J-LAK01 (HIKARI)

J-LAK01: 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
1.64
Extinction coefficient k
3.06630e-08
Permittivity ε1
2.68959
Permittivity ε2
1.00574e-07
Absorption coefficient α
0.00655756 cm⁻¹
Penetration depth δ = λ/(2πk)
3.04992e+09 nm
Abbe number Vd
60.193
Chromatic dispersion dn/dλ
-0.0550942 µm⁻¹
Group index ng
1.67237
Group velocity dispersion
93.7509 fs²/mm
Dispersion parameter D
-511.461 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-LAK01 (HIKARI): J-LAK01
hikari_j_lak01 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK01", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak01.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak01.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=2.64746203−0.0131056736⁢λ2.0−0.000166347533⁢λ4.0+0.0155169536⁢λ−2.0+0.000192870468⁢λ−4.0+4.84379496×10-6⁢λ−6.0−7.97499057×10-9⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.64746203
C2-0.0131056736
C32.0
C4-0.000166347533
C54.0
C60.0155169536
C7-2.0
C80.000192870468
C9-4.0
C104.84379496e-06
C11-6.0
C12-7.97499057e-09
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.681e-06 1.2495e-08 -2.178e-12 4.413e-07 5.0881e-10 0.17484
nd
1.640000
Vd
60.193092
density
value: 3010
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-0.0056
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.48e-06 K⁻¹ at 633 nm, dn/dT = 9.78e-07 K⁻¹ at 1310 nm, dn/dT = 9.35e-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-LAK01 (HIKARI), J-LAK01: n and k versus wavelength
λ (µm)nk
0.3650151.6658524.042172e-07
0.3666011.6654743.743170e-07
0.3681931.66513.442869e-07
0.3697931.664733.141264e-07
0.371.6646823.102200e-07
0.3713991.6643632.934439e-07
0.3730131.6642.741003e-07
0.3746331.6636412.546726e-07
0.3762611.6632852.351606e-07
0.3778951.6629332.155638e-07
0.3795371.6625851.958819e-07
0.381.6624871.903300e-07
0.3811861.662241.824011e-07
0.3828421.6618981.713277e-07
0.3845051.661561.602062e-07
0.3861751.6612251.490364e-07
0.3878531.6608941.378180e-07
0.3895381.6605661.265509e-07
0.391.6604761.234600e-07
0.391231.6602411.181868e-07
0.392931.6599191.109005e-07
0.3946371.65961.035825e-07
0.3963511.6592859.623273e-08
0.3980731.6589728.885102e-08
0.3998021.6586638.143725e-08
0.41.6586288.058900e-08
0.4015391.6583577.827477e-08
0.4032831.6580537.565166e-08
0.4050351.6577537.301715e-08
0.4067951.6574557.037120e-08
0.4085621.6571616.771376e-08
0.4103371.6568696.504477e-08
0.412121.656586.236418e-08
0.413911.6562945.967195e-08
0.4157081.656015.696803e-08
0.4175141.655735.425235e-08
0.4193281.6554525.152489e-08
0.421.655355.051400e-08
0.4211491.6551764.983671e-08
0.4229791.6549034.875863e-08
0.4248171.6546334.767587e-08
0.4266621.6543664.658841e-08
0.4285161.6541014.549623e-08
0.4303771.6538384.439929e-08
0.4322471.6535784.329760e-08
0.4341251.653324.219111e-08
0.436011.6530654.107983e-08
0.4379051.6528123.996371e-08
0.4398071.6525613.884274e-08
0.441.6525363.872900e-08
0.4417181.6523133.792800e-08
0.4436371.6520673.703311e-08
0.4455641.6518243.613433e-08
0.4474991.6515823.523165e-08
0.4494431.6513433.432504e-08
0.4513961.6511063.341450e-08
0.4533571.6508723.250000e-08
0.4553261.6506393.158153e-08
0.4573041.6504083.065907e-08
0.4592911.650182.973260e-08
0.461.6500992.940200e-08
0.4612861.6499542.898940e-08
0.463291.649732.834664e-08
0.4653031.6495072.770109e-08
0.4673241.6492872.705273e-08
0.4693541.6490692.640155e-08
0.4713931.6488532.574755e-08
0.4734411.6486382.509070e-08
0.4754981.6484262.443100e-08
0.4775641.6482162.376844e-08
0.4796381.6480072.310299e-08
0.481.6479712.298700e-08
0.4817221.64782.272499e-08
0.4838151.6475952.240659e-08
0.4859171.6473922.208680e-08
0.4880271.6471912.176562e-08
0.4901481.6469912.144304e-08
0.4922771.6467942.111907e-08
0.4944151.6465982.079369e-08
0.4965631.6464032.046689e-08
0.4987211.6462112.013867e-08
0.51.6460971.994400e-08
0.5008871.646021.997939e-08
0.5030631.645832.006622e-08
0.5052481.6456432.015341e-08
0.5074431.6454572.024099e-08
0.5096481.6452722.032895e-08
0.5118621.6450892.041729e-08
0.5140861.6449082.050601e-08
0.5163191.6447282.059512e-08
0.5185621.644552.068462e-08
0.5208151.6443732.077450e-08
0.5230771.6441982.086478e-08
0.5253491.6440242.095545e-08
0.5276321.6438522.104651e-08
0.5299241.6436812.113796e-08
0.5322261.6435122.122982e-08
0.5345381.6433442.132207e-08
0.536861.6431772.141473e-08
0.5391931.6430122.150778e-08
0.5415351.6428482.160124e-08
0.5438871.6426862.169511e-08
0.546251.6425242.178938e-08
0.5486231.6423652.188407e-08
0.551.6422732.193900e-08
0.5510071.6422062.217256e-08
0.55341.6420492.272794e-08
0.5558041.6418932.328574e-08
0.5582191.6417382.384597e-08
0.5606441.6415852.440862e-08
0.563081.6414322.497372e-08
0.5655261.6412812.554128e-08
0.5679821.6411312.611130e-08
0.570451.6409832.668380e-08
0.5729281.6408352.725878e-08
0.5754171.6406892.783626e-08
0.5779171.6405442.841625e-08
0.5804271.64042.899877e-08
0.5829491.6402572.958381e-08
0.5854811.6401153.017139e-08
0.5880251.6399753.076153e-08
0.5905791.6398353.135422e-08
0.5931451.6396963.194950e-08
0.5957221.6395593.254736e-08
0.598311.6394223.314782e-08
0.61.6393343.354000e-08
0.6009091.6392873.359081e-08
0.6035191.6391533.373673e-08
0.6061411.6390193.388329e-08
0.6087741.6388873.403049e-08
0.6114191.6387553.417833e-08
0.6140751.6386253.432681e-08
0.6167431.6384963.447593e-08
0.6194221.6383673.462570e-08
0.6221131.6382393.477612e-08
0.6248161.6381133.492720e-08
0.627531.6379873.507893e-08
0.6302561.6378623.523132e-08
0.6329941.6377383.538437e-08
0.6357441.6376153.553809e-08
0.6385061.6374933.569248e-08
0.641281.6373723.584754e-08
0.6440661.6372513.600327e-08
0.6468641.6371323.615967e-08
0.6496741.6370133.631676e-08
0.651.6369993.633500e-08
0.6524961.6368953.647453e-08
0.6553311.6367783.663298e-08
0.6581781.6366613.679212e-08
0.6610371.6365463.695196e-08
0.6639081.6364313.711248e-08
0.6667931.6363173.727371e-08
0.6696891.6362043.743563e-08
0.6725991.6360913.759826e-08
0.6755211.6359793.776160e-08
0.6784551.6358683.792565e-08
0.6814031.6357583.809040e-08
0.6843631.6356483.825588e-08
0.6873361.6355393.842207e-08
0.6903221.6354313.858898e-08
0.6933211.6353233.875662e-08
0.6963331.6352163.892499e-08
0.6993581.635113.909409e-08
0.71.6350883.913000e-08
0.7023961.6350054.003383e-08
0.7054471.63494.118499e-08
0.7085121.6347954.234115e-08
0.711591.6346924.350234e-08
0.7146811.6345894.466857e-08
0.7177861.6344864.583986e-08
0.7209041.6343844.701624e-08
0.7240361.6342834.819774e-08
0.7271811.6341824.938436e-08
0.730341.6340825.057615e-08
0.7335131.6339835.177310e-08
0.73671.6338845.297526e-08
0.73991.6337855.418264e-08
0.7431141.6336875.539527e-08
0.7463421.633595.661316e-08
0.7495851.6334935.783635e-08
0.7528411.6333975.906485e-08
0.7561121.6333016.029868e-08
0.7593961.6332066.153788e-08
0.7626951.6331116.278246e-08
0.7660091.6330176.403244e-08
0.7693361.6329236.528786e-08
0.7726791.6328296.654873e-08
0.7760351.6327376.781508e-08
0.7794071.6326446.908693e-08
0.7827931.6325527.036430e-08
0.7861931.6324617.164722e-08
0.7896091.6323697.293572e-08
0.7930391.6322797.422981e-08
0.7964841.6321887.552953e-08
0.7999441.6320997.683489e-08
0.81.6320977.685600e-08
0.8034191.6320097.520963e-08
0.8069091.631927.352904e-08
0.8104151.6318317.184115e-08
0.8139351.6317437.014593e-08
0.8174711.6316556.844335e-08
0.8210231.6315676.673337e-08
0.8245891.631486.501596e-08
0.8281721.6313936.329109e-08
0.8317691.6313076.155873e-08
0.8353831.631225.981884e-08
0.8390121.6311355.807139e-08
0.8426571.6310495.631635e-08
0.8463171.6309645.455369e-08
0.8499941.6308795.278337e-08
0.8536871.6307945.100536e-08
0.8573951.630714.921963e-08
0.861121.6306264.742613e-08
0.8648611.6305424.562485e-08
0.8686181.6304594.381574e-08
0.8723911.6303754.199877e-08
0.8761811.6302924.017391e-08
0.8799881.630213.834112e-08
0.8838111.6301273.650037e-08
0.887651.6300453.465162e-08
0.8915061.6299633.279484e-08
0.8953791.6298813.093000e-08
0.8992691.62982.905705e-08
0.91.6297842.870500e-08
0.9031751.6297182.931422e-08
0.9070991.6296373.006696e-08
0.911041.6295563.082298e-08
0.9149981.6294753.158228e-08
0.9189721.6293953.234487e-08
0.9229651.6293153.311078e-08
0.9269741.6292343.388002e-08
0.9310011.6291543.465260e-08
0.9350461.6290743.542853e-08
0.9391081.6289953.620784e-08
0.9431881.6289153.699053e-08
0.9472851.6288363.777662e-08
0.95141.6287563.856613e-08
0.9555331.6286773.935906e-08
0.9596841.6285984.015544e-08
0.9638531.6285194.095528e-08
0.9680411.6284414.175860e-08
0.9722461.6283624.256541e-08
0.976471.6282834.337572e-08
0.9807121.6282054.418955e-08
0.9849721.6281264.500691e-08
0.9892511.6280484.582783e-08
0.9935491.627974.665231e-08
0.9978651.6278914.748037e-08
11.6278534.789000e-08
1.00221.6278134.757353e-08
1.006551.6277354.694720e-08
1.010931.6276574.631814e-08
1.015321.6275794.568635e-08
1.019731.6275014.505181e-08
1.024161.6274234.441452e-08
1.028611.6273454.377446e-08
1.033081.6272674.313162e-08
1.037561.6271894.248599e-08
1.042071.6271114.183755e-08
1.04661.6270334.118630e-08
1.051151.6269554.053221e-08
1.055711.6268773.987529e-08
1.06031.6267993.921551e-08
1.06491.6267213.855286e-08
1.069531.6266433.788734e-08
1.074181.6265653.721892e-08
1.078841.6264873.654761e-08
1.083531.6264093.587337e-08
1.088241.6263313.519620e-08
1.092961.6262523.451610e-08
1.097711.6261743.383304e-08
1.102481.6260953.314701e-08
1.107271.6260173.245800e-08
1.112081.6259383.176600e-08
1.116911.6258593.107099e-08
1.121761.6257813.037296e-08
1.126641.6257022.967190e-08
1.131531.6256222.896780e-08
1.136451.6255432.826064e-08
1.141381.6254642.755040e-08
1.146341.6253842.683708e-08
1.151321.6253052.612066e-08
1.156321.6252252.540112e-08
1.161351.6251452.467847e-08
1.166391.6250652.395267e-08
1.171461.6249852.322372e-08
1.176551.6249042.249160e-08
1.181661.6248232.175630e-08
1.186791.6247432.101781e-08
1.191951.6246622.027611e-08
1.197131.624581.953119e-08
1.21.6245351.911800e-08
1.202331.6244991.980655e-08
1.207551.6244172.135110e-08
1.21281.6243352.290236e-08
1.218071.6242532.446036e-08
1.223361.6241712.602513e-08
1.228671.6240882.759670e-08
1.234011.6240052.917509e-08
1.239371.6239223.076034e-08
1.244751.6238393.235248e-08
1.250161.6237553.395153e-08
1.255591.6236713.555753e-08
1.261051.6235873.717051e-08
1.266531.6235033.879049e-08
1.272031.6234184.041752e-08
1.277551.6233334.205161e-08
1.28311.6232474.369280e-08
1.288681.6231624.534111e-08
1.294281.6230754.699659e-08
1.29991.6229894.865927e-08
1.305551.6229025.032916e-08
1.311221.6228155.200631e-08
1.316911.6227285.369074e-08
1.322641.622645.538249e-08
1.328381.6225525.708160e-08
1.334151.6224635.878808e-08
1.339951.6223746.050198e-08
1.345771.6222856.222332e-08
1.351621.6221956.395214e-08
1.357491.6221056.568847e-08
1.363381.6220146.743234e-08
1.369311.6219236.918379e-08
1.375261.6218327.094285e-08
1.381231.621747.270955e-08
1.387231.6216487.448392e-08
1.393261.6215557.626600e-08
1.399311.6214627.805583e-08
1.41.6214517.826000e-08
1.405391.6213687.959904e-08
1.411491.6212748.111621e-08
1.417631.6211798.263998e-08
1.423781.6210848.417037e-08
1.429971.6209888.570740e-08
1.436181.6208928.725111e-08
1.442421.6207958.880153e-08
1.448691.6206989.035869e-08
1.454981.62069.192261e-08
1.46131.6205029.349332e-08
1.467651.6204039.507085e-08
1.474031.6203049.665524e-08
1.480431.6202049.824652e-08
1.486861.6201039.984470e-08
1.493321.6200021.014498e-07
1.499811.61991.030619e-07
1.506321.6197981.046810e-07
1.512871.6196951.063072e-07
1.519441.6195911.079404e-07
1.526041.6194871.095807e-07
1.532671.6193821.112281e-07
1.539331.6192771.128827e-07
1.546011.6191711.145444e-07
1.552731.6190641.162134e-07
1.559481.6189561.178897e-07
1.566251.6188481.195732e-07
1.573051.6187391.212640e-07
1.579891.6186291.229622e-07
1.586751.6185191.246678e-07
1.593641.6184081.263807e-07
1.61.6183051.279600e-07
1.600571.6182961.285847e-07
1.607521.6181841.362337e-07
1.61451.618071.439158e-07
1.621521.6179561.516313e-07
1.628561.6178411.593803e-07
1.635641.6177261.671630e-07
1.642741.6176091.749795e-07
1.649881.6174921.828300e-07
1.657051.6173741.907146e-07
1.664251.6172551.986334e-07
1.671481.6171362.065866e-07
1.678741.6170152.145744e-07
1.686031.6168942.225969e-07
1.693351.6167712.306542e-07
1.700711.6166482.387465e-07
1.70811.6165242.468740e-07
1.715521.6163992.550368e-07
1.722971.6162732.632350e-07
1.730461.6161462.714689e-07
1.737971.6160192.797385e-07
1.745521.615892.880441e-07
1.753111.615762.963857e-07
1.760721.615633.047636e-07
1.768371.6154983.131779e-07
1.776051.6153653.216287e-07
1.783771.6152323.301163e-07
1.791521.6150973.386407e-07
1.79931.6149613.472021e-07
1.81.6149493.479700e-07
1.807121.6148253.616675e-07
1.814971.6146873.767735e-07
1.822851.6145483.919452e-07
1.830771.6144084.071827e-07
1.838731.6142674.224865e-07
1.846711.6141254.378567e-07
1.854741.6139824.532937e-07
1.862791.6138374.687978e-07
1.870891.6136924.843692e-07
1.879011.6135455.000083e-07
1.887181.6133975.157153e-07
1.895371.6132485.314905e-07
1.903611.6130975.473343e-07
1.911881.6129465.632469e-07
1.920181.6127935.792286e-07
1.928531.6126395.952798e-07
1.93691.6124846.114007e-07
1.945321.6123276.275916e-07
1.953771.6121696.438528e-07
1.962261.612016.601847e-07
1.970781.6118496.765876e-07
1.979341.6116886.930617e-07
1.987941.6115247.096074e-07
1.996581.611367.262249e-07
21.6112947.328100e-07
2.005251.6111947.775854e-07
2.013961.6110268.518617e-07
2.022711.6108579.264607e-07
2.03151.6106871.001384e-06
2.040321.6105151.076632e-06
2.049191.6103421.152208e-06
2.058091.6101681.228111e-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
—