Optical constants

Refractive index of J-LAK09 (HIKARI)

J-LAK09: 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
1.734
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.00675
Permittivity ε2
6.49952e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
51.509
Chromatic dispersion dn/dλ
-0.073455 µm⁻¹
Group index ng
1.77716
Group velocity dispersion
130.057 fs²/mm
Dispersion parameter D
-709.528 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-LAK09 (HIKARI): J-LAK09
hikari_j_lak09 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK09", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak09.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak09.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=2.94471329−0.0139489672⁢λ2.0−0.000208989528⁢λ4.0+0.0221246396⁢λ−2.0+0.000296283761⁢λ−4.0+1.28986233×10-5⁢λ−6.0−4.34524857×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.94471329
C2-0.0139489672
C32.0
C4-0.000208989528
C54.0
C60.0221246396
C7-2.0
C80.000296283761
C9-4.0
C101.28986233e-05
C11-6.0
C12-4.34524857e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 5.9241e-06 1.2992e-08 -2.1645e-12 5.8159e-07 6.1694e-10 0.17025
nd
1.734000
Vd
51.508682
density
value: 4000
thermal expansion
value: 4.9e-06, temperature range: 243 343
dPgF
-0.0099
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 4.32e-06 K⁻¹ at 633 nm, dn/dT = 3.54e-06 K⁻¹ at 1310 nm, dn/dT = 3.46e-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-LAK09 (HIKARI), J-LAK09: n and k versus wavelength
λ (µm)nk
0.3650151.7694392.483299e-07
0.3666011.768912.292855e-07
0.3681931.7683862.101583e-07
0.3697931.7678681.909481e-07
0.371.7678021.884600e-07
0.3713991.7673561.789224e-07
0.3730131.7668491.679252e-07
0.3746331.7663481.568801e-07
0.3762611.7658521.457871e-07
0.3778951.7653611.346460e-07
0.3795371.7648751.234564e-07
0.381.764741.203000e-07
0.3811861.7643951.157301e-07
0.3828421.7639191.093479e-07
0.3845051.7634481.029379e-07
0.3861751.7629839.650013e-08
0.3878531.7625229.003435e-08
0.3895381.7620668.354049e-08
0.391.7619428.175900e-08
0.391231.7616157.841571e-08
0.392931.7611687.379604e-08
0.3946371.7607266.915630e-08
0.3963511.7602886.449641e-08
0.3980731.7598555.981627e-08
0.3998021.7594275.511580e-08
0.41.7593785.457800e-08
0.4015391.7590035.296308e-08
0.4032831.7585835.113261e-08
0.4050351.7581674.929420e-08
0.4067951.7577564.744779e-08
0.4085621.7573494.559337e-08
0.4103371.7569454.373089e-08
0.412121.7565464.186032e-08
0.413911.7561513.998162e-08
0.4157081.755763.809476e-08
0.4175141.7553733.619971e-08
0.4193281.754993.429642e-08
0.421.7548493.359100e-08
0.4211491.754613.307405e-08
0.4229791.7542353.225120e-08
0.4248171.7538633.142478e-08
0.4266621.7534953.059476e-08
0.4285161.753132.976114e-08
0.4303771.7527692.892390e-08
0.4322471.7524112.808302e-08
0.4341251.7520582.723849e-08
0.436011.7517072.639029e-08
0.4379051.751362.553840e-08
0.4398071.7510162.468282e-08
0.441.7509822.459600e-08
0.4417181.7506762.437563e-08
0.4436371.7503392.412943e-08
0.4455641.7500052.388217e-08
0.4474991.7496742.363383e-08
0.4494431.7493472.338440e-08
0.4513961.7490232.313390e-08
0.4533571.7487022.288231e-08
0.4553261.7483842.262962e-08
0.4573041.7480692.237584e-08
0.4592911.7477572.212095e-08
0.461.7476462.203000e-08
0.4612861.7474482.184451e-08
0.463291.7471422.155554e-08
0.4653031.7468382.126532e-08
0.4673241.7465382.097383e-08
0.4693541.7462412.068108e-08
0.4713931.7459462.038706e-08
0.4734411.7456542.009176e-08
0.4754981.7453651.979518e-08
0.4775641.7450781.949731e-08
0.4796381.7447941.919815e-08
0.481.7447451.914600e-08
0.4817221.7445131.921471e-08
0.4838151.7442351.929821e-08
0.4859171.7439591.938207e-08
0.4880271.7436851.946630e-08
0.4901481.7434141.955089e-08
0.4922771.7431461.963585e-08
0.4944151.742881.972118e-08
0.4965631.7426161.980688e-08
0.4987211.7423551.989295e-08
0.51.7422021.994400e-08
0.5008871.7420961.990138e-08
0.5030631.741841.979685e-08
0.5052481.7415861.969186e-08
0.5074431.7413341.958642e-08
0.5096481.7410841.948052e-08
0.5118621.7408371.937416e-08
0.5140861.7405921.926733e-08
0.5163191.7403491.916004e-08
0.5185621.7401081.905229e-08
0.5208151.7398691.894407e-08
0.5230771.7396331.883537e-08
0.5253491.7393991.872621e-08
0.5276321.7391661.861657e-08
0.5299241.7389361.850646e-08
0.5322261.7387081.839586e-08
0.5345381.7384811.828479e-08
0.536861.7382571.817323e-08
0.5391931.7380351.806119e-08
0.5415351.7378141.794866e-08
0.5438871.7375961.783565e-08
0.546251.7373791.772214e-08
0.5486231.7371651.760814e-08
0.551.7370411.754200e-08
0.5510071.7369521.757411e-08
0.55341.7367411.765047e-08
0.5558041.7365311.772716e-08
0.5582191.7363241.780419e-08
0.5606441.7361181.788154e-08
0.563081.7359141.795924e-08
0.5655261.7357121.803727e-08
0.5679821.7355111.811564e-08
0.570451.7353131.819435e-08
0.5729281.7351151.827341e-08
0.5754171.734921.835280e-08
0.5779171.7347261.843255e-08
0.5804271.7345341.851263e-08
0.5829491.7343431.859307e-08
0.5854811.7341541.867386e-08
0.5880251.7339661.875499e-08
0.5905791.733781.883648e-08
0.5931451.7335951.891832e-08
0.5957221.7334121.900052e-08
0.598311.7332311.908308e-08
0.61.7331131.913700e-08
0.6009091.7330511.935499e-08
0.6035191.7328721.998109e-08
0.6061411.7326952.060991e-08
0.6087741.7325192.124146e-08
0.6114191.7323442.187575e-08
0.6140751.7321712.251280e-08
0.6167431.7322.315262e-08
0.6194221.7318292.379522e-08
0.6221131.731662.444061e-08
0.6248161.7314932.508880e-08
0.627531.7313262.573981e-08
0.6302561.7311612.639365e-08
0.6329941.7309982.705032e-08
0.6357441.7308352.770985e-08
0.6385061.7306742.837225e-08
0.641281.7305142.903752e-08
0.6440661.7303552.970569e-08
0.6468641.7301973.037675e-08
0.6496741.7300413.105073e-08
0.651.7300233.112900e-08
0.6524961.7298853.152841e-08
0.6553311.7297313.198200e-08
0.6581781.7295783.243756e-08
0.6610371.7294263.289511e-08
0.6639081.7292753.335463e-08
0.6667931.7291263.381616e-08
0.6696891.7289773.427969e-08
0.6725991.728833.474523e-08
0.6755211.7286833.521280e-08
0.6784551.7285383.568240e-08
0.6814031.7283943.615404e-08
0.6843631.728253.662772e-08
0.6873361.7281083.710347e-08
0.6903221.7279673.758128e-08
0.6933211.7278263.806117e-08
0.6963331.7276873.854314e-08
0.6993581.7275493.902720e-08
0.71.7275193.913000e-08
0.7023961.7274114.018829e-08
0.7054471.7272754.153617e-08
0.7085121.7271394.288991e-08
0.711591.7270044.424953e-08
0.7146811.7268714.561505e-08
0.7177861.7267384.698651e-08
0.7209041.7266064.836392e-08
0.7240361.7264754.974732e-08
0.7271811.7263445.113673e-08
0.730341.7262155.253218e-08
0.7335131.7260865.393369e-08
0.73671.7259595.534128e-08
0.73991.7258325.675499e-08
0.7431141.7257055.817484e-08
0.7463421.725585.960086e-08
0.7495851.7254566.103308e-08
0.7528411.7253326.247152e-08
0.7561121.7252096.391620e-08
0.7593961.7250866.536716e-08
0.7626951.7249656.682443e-08
0.7660091.7248446.828803e-08
0.7693361.7247246.975798e-08
0.7726791.7246047.123432e-08
0.7760351.7244867.271707e-08
0.7794071.7243687.420627e-08
0.7827931.724257.570193e-08
0.7861931.7241337.720409e-08
0.7896091.7240177.871278e-08
0.7930391.7239028.022802e-08
0.7964841.7237878.174985e-08
0.7999441.7236738.327828e-08
0.81.7236718.330300e-08
0.8034191.723568.143619e-08
0.8069091.7234477.953059e-08
0.8104151.7233347.761671e-08
0.8139351.7232237.569451e-08
0.8174711.7231117.376397e-08
0.8210231.7230017.182504e-08
0.8245891.7228916.987768e-08
0.8281721.7227816.792187e-08
0.8317691.7226726.595756e-08
0.8353831.7225646.398471e-08
0.8390121.7224566.200330e-08
0.8426571.7223496.001327e-08
0.8463171.7222425.801461e-08
0.8499941.7221355.600726e-08
0.8536871.722035.399118e-08
0.8573951.7219245.196635e-08
0.861121.7218194.993273e-08
0.8648611.7217154.789027e-08
0.8686181.7216114.583894e-08
0.8723911.7215074.377869e-08
0.8761811.7214044.170950e-08
0.8799881.7213013.963131e-08
0.8838111.7211993.754410e-08
0.887651.7210973.544782e-08
0.8915061.7209963.334244e-08
0.8953791.7208953.122790e-08
0.8992691.7207942.910419e-08
0.91.7207752.870500e-08
0.9031751.7206942.880630e-08
0.9070991.7205942.893146e-08
0.911041.7204942.905717e-08
0.9149981.7203952.918342e-08
0.9189721.7202962.931022e-08
0.9229651.7201982.943757e-08
0.9269741.7200992.956548e-08
0.9310011.7200022.969394e-08
0.9350461.7199042.982296e-08
0.9391081.7198072.995254e-08
0.9431881.719713.008268e-08
0.9472851.7196133.021339e-08
0.95141.7195173.034467e-08
0.9555331.7194213.047651e-08
0.9596841.7193253.060893e-08
0.9638531.7192293.074193e-08
0.9680411.7191343.087550e-08
0.9722461.7190393.100965e-08
0.976471.7189443.114438e-08
0.9807121.7188493.127970e-08
0.9849721.7187553.141561e-08
0.9892511.718663.155211e-08
0.9935491.7185663.168920e-08
0.9978651.7184733.182689e-08
11.7184263.189500e-08
1.00221.7183793.175446e-08
1.006551.7182853.147632e-08
1.010931.7181923.119697e-08
1.015321.7180993.091641e-08
1.019731.7180063.063463e-08
1.024161.7179133.035162e-08
1.028611.7178213.006738e-08
1.033081.7177282.978191e-08
1.037561.7176362.949520e-08
1.042071.7175432.920724e-08
1.04661.7174512.891804e-08
1.051151.7173592.862757e-08
1.055711.7172672.833585e-08
1.06031.7171752.804285e-08
1.06491.7170832.774859e-08
1.069531.7169922.745304e-08
1.074181.71692.715621e-08
1.078841.7168082.685810e-08
1.083531.7167172.655868e-08
1.088241.7166252.625797e-08
1.092961.7165342.595595e-08
1.097711.7164422.565262e-08
1.102481.7163512.534797e-08
1.107271.7162592.504200e-08
1.112081.7161682.473469e-08
1.116911.7160772.442606e-08
1.121761.7159852.411608e-08
1.126641.7158942.380475e-08
1.131531.7158022.349208e-08
1.136451.7157112.317804e-08
1.141381.7156192.286264e-08
1.146341.7155282.254587e-08
1.151321.7154362.222772e-08
1.156321.7153442.190819e-08
1.161351.7152532.158728e-08
1.166391.7151612.126497e-08
1.171461.7150692.094126e-08
1.176551.7149772.061614e-08
1.181661.7148852.028961e-08
1.186791.7147931.996166e-08
1.191951.71471.963229e-08
1.197131.7146081.930149e-08
1.21.7145571.911800e-08
1.202331.7145151.980655e-08
1.207551.7144232.135110e-08
1.21281.714332.290236e-08
1.218071.7142372.446036e-08
1.223361.7141442.602513e-08
1.228671.714052.759670e-08
1.234011.7139572.917509e-08
1.239371.7138633.076034e-08
1.244751.7137693.235248e-08
1.250161.7136753.395153e-08
1.255591.7135813.555753e-08
1.261051.7134863.717051e-08
1.266531.7133923.879049e-08
1.272031.7132974.041752e-08
1.277551.7132024.205161e-08
1.28311.7131064.369280e-08
1.288681.713014.534111e-08
1.294281.7129144.699659e-08
1.29991.7128184.865927e-08
1.305551.7127225.032916e-08
1.311221.7126255.200631e-08
1.316911.7125285.369074e-08
1.322641.7124315.538249e-08
1.328381.7123335.708160e-08
1.334151.7122355.878808e-08
1.339951.7121376.050198e-08
1.345771.7120386.222332e-08
1.351621.7119396.395214e-08
1.357491.7118396.568847e-08
1.363381.711746.743234e-08
1.369311.711646.918379e-08
1.375261.7115397.094285e-08
1.381231.7114387.270955e-08
1.387231.7113377.448392e-08
1.393261.7112357.626600e-08
1.399311.7111337.805583e-08
1.41.7111227.826000e-08
1.405391.7110317.994579e-08
1.411491.7109288.185584e-08
1.417631.7108258.377419e-08
1.423781.7107218.570088e-08
1.429971.7106168.763593e-08
1.436181.7105128.957940e-08
1.442421.7104079.153130e-08
1.448691.7103019.349169e-08
1.454981.7101959.546059e-08
1.46131.7100889.743804e-08
1.467651.7099819.942409e-08
1.474031.7098731.014188e-07
1.480431.7097651.034221e-07
1.486861.7096561.054341e-07
1.493321.7095471.074549e-07
1.499811.7094371.094845e-07
1.506321.7093261.115229e-07
1.512871.7092151.135701e-07
1.519441.7091041.156262e-07
1.526041.7089911.176913e-07
1.532671.7088791.197653e-07
1.539331.7087651.218483e-07
1.546011.7086511.239404e-07
1.552731.7085361.260416e-07
1.559481.7084211.281519e-07
1.566251.7083051.302714e-07
1.573051.7081881.324001e-07
1.579891.7080711.345380e-07
1.586751.7079531.366852e-07
1.593641.7078341.388418e-07
1.61.7077241.408300e-07
1.600571.7077151.414599e-07
1.607521.7075941.491717e-07
1.61451.7074741.569171e-07
1.621521.7073521.646960e-07
1.628561.7072291.725088e-07
1.635641.7071061.803556e-07
1.642741.7069821.882364e-07
1.649881.7068581.961514e-07
1.657051.7067322.041009e-07
1.664251.7066062.120848e-07
1.671481.7064782.201035e-07
1.678741.706352.281570e-07
1.686031.7062222.362454e-07
1.693351.7060922.443690e-07
1.700711.7059612.525279e-07
1.70811.705832.607223e-07
1.715521.7056972.689522e-07
1.722971.7055642.772179e-07
1.730461.705432.855195e-07
1.737971.7052952.938572e-07
1.745521.7051593.022311e-07
1.753111.7050223.106414e-07
1.760721.7048843.190882e-07
1.768371.7047453.275717e-07
1.776051.7046053.360920e-07
1.783771.7044643.446494e-07
1.791521.7043223.532439e-07
1.79931.7041793.618758e-07
1.81.7041663.626500e-07
1.807121.7040353.793953e-07
1.814971.703893.978626e-07
1.822851.7037434.164100e-07
1.830771.7035964.350380e-07
1.838731.7034484.537470e-07
1.846711.7032984.725372e-07
1.854741.7031484.914091e-07
1.862791.7029965.103629e-07
1.870891.7028435.293991e-07
1.879011.7026895.485180e-07
1.887181.7025335.677200e-07
1.895371.7023775.870053e-07
1.903611.7022196.063744e-07
1.911881.702066.258277e-07
1.920181.70196.453655e-07
1.928531.7017386.649882e-07
1.93691.7015766.846961e-07
1.945321.7014127.044896e-07
1.953771.7012467.243692e-07
1.962261.7010797.443350e-07
1.970781.7009117.643876e-07
1.979341.7007427.845274e-07
1.987941.7005718.047546e-07
1.996581.7003998.250697e-07
21.700338.331200e-07
2.005251.7002258.805760e-07
2.013961.700059.592990e-07
2.022711.6998741.038364e-06
2.03151.6996961.117772e-06
2.040321.6995161.197526e-06
2.049191.6993351.277626e-06
2.058091.6991531.358074e-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
—