Optical constants

Refractive index of J-LAK10 (HIKARI)

J-LAK10: 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
1.71999
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.95836
Permittivity ε2
4.45838e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
50.267
Chromatic dispersion dn/dλ
-0.0736549 µm⁻¹
Group index ng
1.76327
Group velocity dispersion
132.828 fs²/mm
Dispersion parameter D
-724.645 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-LAK10 (HIKARI): J-LAK10
hikari_j_lak10 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak10.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak10.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=2.89571408−0.0120013315⁢λ2.0−0.000136916169⁢λ4.0+0.0219522159⁢λ−2.0+0.000357973143⁢λ−4.0+8.26304425×10-6⁢λ−6.0+2.7388172×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.89571408
C2-0.0120013315
C32.0
C4-0.000136916169
C54.0
C60.0219522159
C7-2.0
C80.000357973143
C9-4.0
C108.26304425e-06
C11-6.0
C122.7388172e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.7668e-06 9.8859e-09 -2.8849e-13 6.0939e-07 6.7233e-10 0.19968
nd
1.719990
Vd
50.267183
density
value: 3740
thermal expansion
value: 6.5e-06, temperature range: 243 343
dPgF
0.0016
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.53e-06 K⁻¹ at 633 nm, dn/dT = 1.74e-06 K⁻¹ at 1310 nm, dn/dT = 1.67e-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-LAK10 (HIKARI), J-LAK10: n and k versus wavelength
λ (µm)nk
0.3650151.7559623.710192e-07
0.3666011.755423.413315e-07
0.3681931.7548853.115149e-07
0.3697931.7543552.815687e-07
0.371.7542872.776900e-07
0.3713991.753832.623229e-07
0.3730131.7533122.446041e-07
0.3746331.7527992.268083e-07
0.3762611.7522922.089351e-07
0.3778951.751791.909843e-07
0.3795371.7512941.729556e-07
0.381.7511551.678700e-07
0.3811861.7508031.603134e-07
0.3828421.7503171.497600e-07
0.3845051.7498361.391607e-07
0.3861751.7493611.285154e-07
0.3878531.748891.178238e-07
0.3895381.7484251.070858e-07
0.391.7482981.041400e-07
0.391231.7479641.000404e-07
0.392931.7475089.437563e-08
0.3946371.7470588.868627e-08
0.3963511.7466118.297219e-08
0.3980731.746177.723330e-08
0.3998021.7457337.146947e-08
0.41.7456837.081000e-08
0.4015391.7453016.846614e-08
0.4032831.7448736.580945e-08
0.4050351.7444496.314122e-08
0.4067951.744036.046140e-08
0.4085621.7436155.776994e-08
0.4103371.7432055.506678e-08
0.412121.7427995.235188e-08
0.413911.7423974.962519e-08
0.4157081.7419994.688665e-08
0.4175141.7416054.413621e-08
0.4193281.7412154.137383e-08
0.421.7410724.035000e-08
0.4211491.7408293.985029e-08
0.4229791.7404473.905489e-08
0.4248171.7400693.825602e-08
0.4266621.7396943.745369e-08
0.4285161.7393243.664787e-08
0.4303771.7389573.583856e-08
0.4322471.7385933.502572e-08
0.4341251.7382343.420936e-08
0.436011.7378783.338944e-08
0.4379051.7375253.256597e-08
0.4398071.7371763.173892e-08
0.441.7371413.165500e-08
0.4417181.7368313.114479e-08
0.4436371.7364893.057477e-08
0.4455641.736153.000228e-08
0.4474991.7358142.942730e-08
0.4494431.7354822.884982e-08
0.4513961.7351532.826984e-08
0.4533571.7348282.768733e-08
0.4553261.7345052.710229e-08
0.4573041.7341862.651471e-08
0.4592911.733872.592458e-08
0.461.7337582.571400e-08
0.4612861.7335562.504484e-08
0.463291.7332462.400239e-08
0.4653031.7329392.295542e-08
0.4673241.7326352.190389e-08
0.4693541.7323332.084780e-08
0.4713931.7320351.978712e-08
0.4734411.7317391.872183e-08
0.4754981.7314471.765192e-08
0.4775641.7311571.657735e-08
0.4796381.7308691.549812e-08
0.481.730821.531000e-08
0.4817221.7305851.502113e-08
0.4838151.7303031.467008e-08
0.4859171.7300241.431750e-08
0.4880271.7297471.396339e-08
0.4901481.7294731.360774e-08
0.4922771.7292021.325055e-08
0.4944151.7289331.289180e-08
0.4965631.7286671.253150e-08
0.4987211.7284031.216963e-08
0.51.7282481.195500e-08
0.5008871.7281411.189836e-08
0.5030631.7278821.175941e-08
0.5052481.7276261.161986e-08
0.5074431.7273711.147971e-08
0.5096481.7271191.133895e-08
0.5118621.726871.119757e-08
0.5140861.7266221.105558e-08
0.5163191.7263771.091298e-08
0.5185621.7261341.076975e-08
0.5208151.7258941.062591e-08
0.5230771.7256551.048143e-08
0.5253491.7254191.033633e-08
0.5276321.7251851.019060e-08
0.5299241.7249531.004424e-08
0.5322261.7247239.897240e-09
0.5345381.7244959.749603e-09
0.536861.7242699.601324e-09
0.5391931.7240459.452400e-09
0.5415351.7238239.302830e-09
0.5438871.7236039.152610e-09
0.546251.7233859.001737e-09
0.5486231.7231698.850209e-09
0.551.7230458.762300e-09
0.5510071.7229558.874693e-09
0.55341.7227429.141960e-09
0.5558041.7225329.410387e-09
0.5582191.7223239.679981e-09
0.5606441.7221179.950746e-09
0.563081.7219121.022269e-08
0.5655261.7217081.049581e-08
0.5679821.7215071.077012e-08
0.570451.7213071.104562e-08
0.5729281.7211091.132232e-08
0.5754171.7209131.160022e-08
0.5779171.7207181.187932e-08
0.5804271.7205251.215964e-08
0.5829491.7203341.244118e-08
0.5854811.7201441.272394e-08
0.5880251.7199561.300793e-08
0.5905791.7197691.329315e-08
0.5931451.7195841.357961e-08
0.5957221.7194011.386732e-08
0.598311.7192191.415627e-08
0.61.7191011.434500e-08
0.6009091.7190391.436674e-08
0.6035191.718861.442918e-08
0.6061411.7186821.449190e-08
0.6087741.7185061.455488e-08
0.6114191.7183321.461814e-08
0.6140751.7181591.468168e-08
0.6167431.7179871.474549e-08
0.6194221.7178171.480958e-08
0.6221131.7176481.487395e-08
0.6248161.717481.493859e-08
0.627531.7173141.500352e-08
0.6302561.7171491.506873e-08
0.6329941.7169861.513422e-08
0.6357441.7168231.520000e-08
0.6385061.7166621.526606e-08
0.641281.7165031.533241e-08
0.6440661.7163441.539905e-08
0.6468641.7161871.546598e-08
0.6496741.7160311.553319e-08
0.651.7160131.554100e-08
0.6524961.7158761.560065e-08
0.6553311.7157231.566840e-08
0.6581781.715571.573644e-08
0.6610371.7154191.580478e-08
0.6639081.7152691.587341e-08
0.6667931.715121.594234e-08
0.6696891.7149721.601158e-08
0.6725991.7148261.608111e-08
0.6755211.714681.615094e-08
0.6784551.7145361.622108e-08
0.6814031.7143921.629152e-08
0.6843631.714251.636227e-08
0.6873361.7141091.643332e-08
0.6903221.7139681.650469e-08
0.6933211.7138291.657636e-08
0.6963331.7136911.664835e-08
0.6993581.7135541.672065e-08
0.71.7135251.673600e-08
0.7023961.7134171.771393e-08
0.7054471.7132821.895947e-08
0.7085121.7131482.021042e-08
0.711591.7130152.146681e-08
0.7146811.7128822.272865e-08
0.7177861.7127512.399597e-08
0.7209041.712622.526880e-08
0.7240361.7124912.654716e-08
0.7271811.7123622.783108e-08
0.730341.7122342.912057e-08
0.7335131.7121073.041566e-08
0.73671.7119813.171638e-08
0.73991.7118563.302275e-08
0.7431141.7117313.433479e-08
0.7463421.7116083.565254e-08
0.7495851.7114853.697601e-08
0.7528411.7113633.830522e-08
0.7561121.7112423.964022e-08
0.7593961.7111214.098101e-08
0.7626951.7110024.232763e-08
0.7660091.7108834.368009e-08
0.7693361.7107654.503844e-08
0.7726791.7106474.640268e-08
0.7760351.7105314.777285e-08
0.7794071.7104154.914897e-08
0.7827931.71035.053107e-08
0.7861931.7101855.191918e-08
0.7896091.7100715.331331e-08
0.7930391.7099585.471350e-08
0.7964841.7098465.611978e-08
0.7999441.7097345.753216e-08
0.81.7097325.755500e-08
0.8034191.7096235.583209e-08
0.8069091.7095135.407338e-08
0.8104151.7094035.230703e-08
0.8139351.7092945.053300e-08
0.8174711.7091854.875127e-08
0.8210231.7090774.696180e-08
0.8245891.708974.516455e-08
0.8281721.7088634.335950e-08
0.8317691.7087574.154660e-08
0.8353831.7086513.972583e-08
0.8390121.7085463.789715e-08
0.8426571.7084423.606053e-08
0.8463171.7083383.421592e-08
0.8499941.7082343.236330e-08
0.8536871.7081313.050264e-08
0.8573951.7080292.863389e-08
0.861121.7079272.675702e-08
0.8648611.7078262.487200e-08
0.8686181.7077252.297879e-08
0.8723911.7076252.107736e-08
0.8761811.7075251.916767e-08
0.8799881.7074261.724968e-08
0.8838111.7073271.532335e-08
0.887651.7072281.338866e-08
0.8915061.707131.144557e-08
0.8953791.7070339.494029e-09
0.8992691.7069357.534015e-09
0.91.7069177.165600e-09
0.9031751.7068397.950882e-09
0.9070991.7067428.921166e-09
0.911041.7066469.895665e-09
0.9149981.7065511.087440e-08
0.9189721.7064561.185738e-08
0.9229651.7063611.284464e-08
0.9269741.7062671.383618e-08
0.9310011.7061731.483203e-08
0.9350461.7060791.583221e-08
0.9391081.7059861.683673e-08
0.9431881.7058931.784562e-08
0.9472851.70581.885889e-08
0.95141.7057081.987656e-08
0.9555331.7056162.089865e-08
0.9596841.7055242.192518e-08
0.9638531.7054332.295618e-08
0.9680411.7053422.399165e-08
0.9722461.7052512.503162e-08
0.976471.7051612.607610e-08
0.9807121.705072.712513e-08
0.9849721.7049812.817871e-08
0.9892511.7048912.923687e-08
0.9935491.7048013.029962e-08
0.9978651.7047123.136699e-08
11.7046683.189500e-08
1.00221.7046233.164927e-08
1.006551.7045353.116293e-08
1.010931.7044463.067448e-08
1.015321.7043583.018391e-08
1.019731.704272.969120e-08
1.024161.7041822.919636e-08
1.028611.7040952.869937e-08
1.033081.7040072.820021e-08
1.037561.703922.769889e-08
1.042071.7038332.719539e-08
1.04661.7037462.668971e-08
1.051151.7036592.618182e-08
1.055711.7035722.567173e-08
1.06031.7034862.515943e-08
1.06491.70342.464489e-08
1.069531.7033132.412813e-08
1.074181.7032272.360912e-08
1.078841.7031412.308785e-08
1.083531.7030562.256432e-08
1.088241.702972.203851e-08
1.092961.7028842.151042e-08
1.097711.7027992.098004e-08
1.102481.7027132.044735e-08
1.107271.7026281.991235e-08
1.112081.7025431.937503e-08
1.116911.7024571.883537e-08
1.121761.7023721.829336e-08
1.126641.7022871.774900e-08
1.131531.7022021.720228e-08
1.136451.7021171.665318e-08
1.141381.7020321.610169e-08
1.146341.7019471.554781e-08
1.151321.7018621.499153e-08
1.156321.7017771.443282e-08
1.161351.7016921.387169e-08
1.166391.7016071.330813e-08
1.171461.7015221.274211e-08
1.176551.7014371.217364e-08
1.181661.7013521.160269e-08
1.186791.7012671.102927e-08
1.191951.7011811.045335e-08
1.197131.7010969.874931e-09
1.21.7010499.554100e-09
1.202331.7010119.572633e-09
1.207551.7009269.614207e-09
1.21281.700849.655962e-09
1.218071.7007559.697898e-09
1.223361.7006699.740016e-09
1.228671.7005849.782317e-09
1.234011.7004989.824802e-09
1.239371.7004129.867472e-09
1.244751.7003269.910327e-09
1.250161.700249.953368e-09
1.255591.7001549.996596e-09
1.261051.7000681.004001e-08
1.266531.6999811.008362e-08
1.272031.6998951.012741e-08
1.277551.6998081.017139e-08
1.28311.6997211.021557e-08
1.288681.6996341.025994e-08
1.294281.6995471.030450e-08
1.29991.699461.034925e-08
1.305551.6993721.039420e-08
1.311221.6992841.043934e-08
1.316911.6991961.048468e-08
1.322641.6991081.053022e-08
1.328381.6990191.057595e-08
1.334151.6989311.062188e-08
1.339951.6988421.066801e-08
1.345771.6987531.071435e-08
1.351621.6986631.076088e-08
1.357491.6985741.080762e-08
1.363381.6984841.085456e-08
1.369311.6983941.090170e-08
1.375261.6983031.094905e-08
1.381231.6982131.099660e-08
1.387231.6981221.104436e-08
1.393261.698031.109233e-08
1.399311.6979391.114050e-08
1.41.6979281.114600e-08
1.405391.6978471.360110e-08
1.411491.6977541.638281e-08
1.417631.6976621.917661e-08
1.423781.6975692.198255e-08
1.429971.6974762.480067e-08
1.436181.6973822.763104e-08
1.442421.6972883.047370e-08
1.448691.6971943.332871e-08
1.454981.6970993.619613e-08
1.46131.6970043.907600e-08
1.467651.6969084.196838e-08
1.474031.6968124.487333e-08
1.480431.6967164.779089e-08
1.486861.6966195.072114e-08
1.493321.6965225.366411e-08
1.499811.6964245.661986e-08
1.506321.6963265.958846e-08
1.512871.6962286.256995e-08
1.519441.6961296.556440e-08
1.526041.6960296.857185e-08
1.532671.695937.159237e-08
1.539331.6958297.462601e-08
1.546011.6957287.767283e-08
1.552731.6956278.073289e-08
1.559481.6955258.380624e-08
1.566251.6954238.689294e-08
1.573051.695328.999305e-08
1.579891.6952169.310663e-08
1.586751.6951129.623373e-08
1.593641.6950089.937442e-08
1.61.6949111.022700e-07
1.600571.6949021.028429e-07
1.607521.6947971.098566e-07
1.61451.694691.169008e-07
1.621521.6945841.239756e-07
1.628561.6944761.310811e-07
1.635641.6943681.382176e-07
1.642741.6942591.453850e-07
1.649881.694151.525835e-07
1.657051.694041.598133e-07
1.664251.6939291.670746e-07
1.671481.6938181.743673e-07
1.678741.6937061.816918e-07
1.686031.6935931.890481e-07
1.693351.693481.964363e-07
1.700711.6933662.038566e-07
1.70811.6932512.113092e-07
1.715521.6931362.187941e-07
1.722971.693022.263116e-07
1.730461.6929032.338617e-07
1.737971.6927852.414446e-07
1.745521.6926672.490604e-07
1.753111.6925472.567094e-07
1.760721.6924282.643915e-07
1.768371.6923072.721071e-07
1.776051.6921852.798561e-07
1.783771.6920632.876389e-07
1.791521.691942.954554e-07
1.79931.6918163.033059e-07
1.81.6918043.040100e-07
1.807121.6916913.151352e-07
1.814971.6915653.274045e-07
1.822851.6914383.397270e-07
1.830771.6913113.521030e-07
1.838731.6911823.645329e-07
1.846711.6910533.770167e-07
1.854741.6909233.895547e-07
1.862791.6907924.021473e-07
1.870891.690664.147945e-07
1.879011.6905274.274967e-07
1.887181.6903934.402540e-07
1.895371.6902584.530668e-07
1.903611.6901224.659352e-07
1.911881.6899854.788595e-07
1.920181.6898474.918400e-07
1.928531.6897085.048769e-07
1.93691.6895685.179704e-07
1.945321.6894275.311208e-07
1.953771.6892855.443283e-07
1.962261.6891425.575932e-07
1.970781.6889975.709157e-07
1.979341.6888525.842961e-07
1.987941.6887055.977346e-07
1.996581.6885586.112315e-07
21.6884996.165800e-07
2.005251.6884096.483118e-07
2.013961.6882597.009506e-07
2.022711.6881087.538181e-07
2.03151.6879558.069152e-07
2.040321.6878028.602430e-07
2.049191.6876479.138025e-07
2.058091.6874919.675946e-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
—