Optical constants

Refractive index of J-LAF02 (HIKARI)

J-LAF02: 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
1.72
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.95839
Permittivity ε2
7.68771e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
43.61
Chromatic dispersion dn/dλ
-0.0842877 µm⁻¹
Group index ng
1.76952
Group velocity dispersion
158.747 fs²/mm
Dispersion parameter D
-866.05 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-LAF02 (HIKARI): J-LAF02
hikari_j_laf02 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAF02", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_laf02.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_laf02.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=2.88586901−0.0102242298⁢λ2.0−5.7330265×10-5⁢λ4.0+0.0243594329⁢λ−2.0+0.000671639978⁢λ−4.0−1.38459487×10-5⁢λ−6.0+2.96139784×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.88586901
C2-0.0102242298
C32.0
C4-5.7330265e-05
C54.0
C60.0243594329
C7-2.0
C80.000671639978
C9-4.0
C10-1.38459487e-05
C11-6.0
C122.96139784e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.4651e-06 1.1439e-08 -6.6607e-13 7.7072e-07 7.8052e-10 0.21966
nd
1.720000
Vd
43.610054
density
value: 3880
thermal expansion
value: 6.8e-06, temperature range: 243 343
dPgF
-0.0029
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.77e-06 K⁻¹ at 633 nm, dn/dT = 2.73e-06 K⁻¹ at 1310 nm, dn/dT = 2.65e-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-LAF02 (HIKARI), J-LAF02: n and k versus wavelength
λ (µm)nk
0.3650151.7631548.737092e-07
0.3666011.7624717.816523e-07
0.3681931.7617966.891956e-07
0.3697931.7611295.963372e-07
0.371.7610445.843100e-07
0.3713991.7604715.443182e-07
0.3730131.7598224.982059e-07
0.3746331.759184.518933e-07
0.3762611.7585474.053795e-07
0.3778951.7579213.586637e-07
0.3795371.7573033.117449e-07
0.381.7571312.985100e-07
0.3811861.7566932.839328e-07
0.3828421.756092.635744e-07
0.3845051.7554952.431276e-07
0.3861751.7549072.225920e-07
0.3878531.7543252.019671e-07
0.3895381.7537511.812527e-07
0.391.7535951.755700e-07
0.391231.7531841.679230e-07
0.392931.7526241.573566e-07
0.3946371.752071.467444e-07
0.3963511.7515221.360860e-07
0.3980731.7509821.253813e-07
0.3998021.7504471.146301e-07
0.41.7503861.134000e-07
0.4015391.7499191.098698e-07
0.4032831.7493971.058685e-07
0.4050351.748881.018498e-07
0.4067951.748379.781357e-08
0.4085621.7478669.375985e-08
0.4103371.7473678.968852e-08
0.412121.7468748.559950e-08
0.413911.7463878.149272e-08
0.4157081.7459057.736810e-08
0.4175141.7454297.322556e-08
0.4193281.7449586.906502e-08
0.421.7447856.752300e-08
0.4211491.7444926.688812e-08
0.4229791.7440326.587756e-08
0.4248171.7435766.486260e-08
0.4266621.7431266.384324e-08
0.4285161.7426816.281945e-08
0.4303771.742246.179121e-08
0.4322471.7418046.075850e-08
0.4341251.7413735.972131e-08
0.436011.7409475.867961e-08
0.4379051.7405255.763339e-08
0.4398071.7401085.658262e-08
0.441.7400665.647600e-08
0.4417181.7396965.542105e-08
0.4436371.7392875.424245e-08
0.4455641.7388835.305873e-08
0.4474991.7384845.186986e-08
0.4494431.7380895.067583e-08
0.4513961.7376984.947661e-08
0.4533571.7373114.827218e-08
0.4553261.7369284.706252e-08
0.4573041.7365494.584761e-08
0.4592911.7361744.462742e-08
0.461.7360414.419200e-08
0.4612861.7358034.357076e-08
0.463291.7354364.260296e-08
0.4653031.7350724.163095e-08
0.4673241.7347134.065472e-08
0.4693541.7343573.967425e-08
0.4713931.7340043.868953e-08
0.4734411.7336563.770052e-08
0.4754981.7333113.670722e-08
0.4775641.7329693.570960e-08
0.4796381.7326313.470765e-08
0.481.7325733.453300e-08
0.4817221.7322963.396619e-08
0.4838151.7319653.327738e-08
0.4859171.7316373.258557e-08
0.4880271.7313133.189075e-08
0.4901481.7309913.119292e-08
0.4922771.7306733.049206e-08
0.4944151.7303582.978815e-08
0.4965631.7300462.908118e-08
0.4987211.7297372.837114e-08
0.51.7295562.795000e-08
0.5008871.7294322.776535e-08
0.5030631.7291292.731240e-08
0.5052481.7288292.685748e-08
0.5074431.7285332.640058e-08
0.5096481.7282392.594171e-08
0.5118621.7279482.548083e-08
0.5140861.7276592.501796e-08
0.5163191.7273742.455307e-08
0.5185621.7270922.408617e-08
0.5208151.7268122.361724e-08
0.5230771.7265342.314626e-08
0.5253491.726262.267325e-08
0.5276321.7259882.219818e-08
0.5299241.7257192.172104e-08
0.5322261.7254522.124183e-08
0.5345381.7251882.076054e-08
0.536861.7249262.027716e-08
0.5391931.7246671.979168e-08
0.5415351.724411.930409e-08
0.5438871.7241561.881439e-08
0.546251.7239041.832255e-08
0.5486231.7236551.782858e-08
0.551.7235111.754200e-08
0.5510071.7234071.767067e-08
0.55341.7231621.797663e-08
0.5558041.722921.828392e-08
0.5582191.7226791.859255e-08
0.5606441.7224411.890252e-08
0.563081.7222051.921383e-08
0.5655261.7219711.952650e-08
0.5679821.721741.984052e-08
0.570451.721512.015591e-08
0.5729281.7212832.047267e-08
0.5754171.7210582.079081e-08
0.5779171.7208342.111032e-08
0.5804271.7206132.143123e-08
0.5829491.7203942.175353e-08
0.5854811.7201762.207723e-08
0.5880251.7199612.240234e-08
0.5905791.7197482.272885e-08
0.5931451.7195362.305679e-08
0.5957221.7193272.338615e-08
0.598311.7191192.371695e-08
0.61.7189852.393300e-08
0.6009091.7189132.406381e-08
0.6035191.7187092.443951e-08
0.6061411.7185072.481684e-08
0.6087741.7183062.519582e-08
0.6114191.7181072.557644e-08
0.6140751.717912.595871e-08
0.6167431.7177152.634264e-08
0.6194221.7175212.672824e-08
0.6221131.717332.711552e-08
0.6248161.7171392.750448e-08
0.627531.7169512.789513e-08
0.6302561.7167642.828747e-08
0.6329941.7165782.868152e-08
0.6357441.7163952.907728e-08
0.6385061.7162122.947477e-08
0.641281.7160322.987397e-08
0.6440661.7158533.027492e-08
0.6468641.7156753.067760e-08
0.6496741.7154993.108203e-08
0.651.7154783.112900e-08
0.6524961.7153243.124851e-08
0.6553311.7151513.138423e-08
0.6581781.7149793.152054e-08
0.6610371.7148093.165744e-08
0.6639081.714643.179494e-08
0.6667931.7144723.193303e-08
0.6696891.7143063.207173e-08
0.6725991.7141423.221102e-08
0.6755211.7139783.235092e-08
0.6784551.7138163.249143e-08
0.6814031.7136553.263255e-08
0.6843631.7134963.277429e-08
0.6873361.7133373.291664e-08
0.6903221.7131813.305960e-08
0.6933211.7130253.320319e-08
0.6963331.712873.334740e-08
0.6993581.7127173.349224e-08
0.71.7126853.352300e-08
0.7023961.7125653.363773e-08
0.7054471.7124143.378386e-08
0.7085121.7122653.393063e-08
0.711591.7121163.407803e-08
0.7146811.7119693.422607e-08
0.7177861.7118233.437476e-08
0.7209041.7116783.452409e-08
0.7240361.7115343.467407e-08
0.7271811.7113913.482471e-08
0.730341.7112493.497599e-08
0.7335131.7111083.512794e-08
0.73671.7109693.528054e-08
0.73991.710833.543381e-08
0.7431141.7106933.558774e-08
0.7463421.7105563.574234e-08
0.7495851.7104213.589761e-08
0.7528411.7102863.605356e-08
0.7561121.7101533.621019e-08
0.7593961.710023.636749e-08
0.7626951.7098883.652548e-08
0.7660091.7097583.668416e-08
0.7693361.7096283.684352e-08
0.7726791.7094993.700358e-08
0.7760351.7093713.716433e-08
0.7794071.7092443.732578e-08
0.7827931.7091183.748793e-08
0.7861931.7089933.765079e-08
0.7896091.7088693.781435e-08
0.7930391.7087453.797863e-08
0.7964841.7086233.814362e-08
0.7999441.7085013.830932e-08
0.81.7084993.831200e-08
0.8034191.708383.773778e-08
0.8069091.708263.715163e-08
0.8104151.708143.656293e-08
0.8139351.7080223.597168e-08
0.8174711.7079043.537785e-08
0.8210231.7077873.478145e-08
0.8245891.7076713.418246e-08
0.8281721.7075553.358086e-08
0.8317691.707443.297665e-08
0.8353831.7073263.236982e-08
0.8390121.7072133.176035e-08
0.8426571.70713.114823e-08
0.8463171.7069883.053345e-08
0.8499941.7068772.991600e-08
0.8536871.7067662.929587e-08
0.8573951.7066572.867305e-08
0.861121.7065472.804752e-08
0.8648611.7064392.741927e-08
0.8686181.7063312.678829e-08
0.8723911.7062232.615457e-08
0.8761811.7061172.551810e-08
0.8799881.7060112.487886e-08
0.8838111.7059052.423685e-08
0.887651.70582.359205e-08
0.8915061.7056962.294445e-08
0.8953791.7055922.229403e-08
0.8992691.7054892.164079e-08
0.91.705472.151800e-08
0.9031751.7053872.184752e-08
0.9070991.7052852.225467e-08
0.911041.7051832.266360e-08
0.9149981.7050822.307429e-08
0.9189721.7049822.348678e-08
0.9229651.7048822.390105e-08
0.9269741.7047822.431712e-08
0.9310011.7046832.473500e-08
0.9350461.7045852.515470e-08
0.9391081.7044872.557622e-08
0.9431881.704392.599957e-08
0.9472851.7042932.642476e-08
0.95141.7041962.685180e-08
0.9555331.70412.728069e-08
0.9596841.7040042.771145e-08
0.9638531.7039092.814407e-08
0.9680411.7038142.857858e-08
0.9722461.703722.901497e-08
0.976471.7036262.945326e-08
0.9807121.7035332.989346e-08
0.9849721.7034393.033556e-08
0.9892511.7033473.077959e-08
0.9935491.7032543.122554e-08
0.9978651.7031623.167344e-08
11.7031173.189500e-08
1.00221.7030713.175446e-08
1.006551.7029793.147632e-08
1.010931.7028883.119697e-08
1.015321.7027983.091641e-08
1.019731.7027073.063463e-08
1.024161.7026183.035162e-08
1.028611.7025283.006738e-08
1.033081.7024392.978191e-08
1.037561.702352.949520e-08
1.042071.7022612.920724e-08
1.04661.7021722.891804e-08
1.051151.7020842.862757e-08
1.055711.7019962.833585e-08
1.06031.7019092.804285e-08
1.06491.7018212.774859e-08
1.069531.7017342.745304e-08
1.074181.7016472.715621e-08
1.078841.7015612.685810e-08
1.083531.7014742.655868e-08
1.088241.7013882.625797e-08
1.092961.7013022.595595e-08
1.097711.7012172.565262e-08
1.102481.7011312.534797e-08
1.107271.7010462.504200e-08
1.112081.700962.473469e-08
1.116911.7008762.442606e-08
1.121761.7007912.411608e-08
1.126641.7007062.380475e-08
1.131531.7006222.349208e-08
1.136451.7005372.317804e-08
1.141381.7004532.286264e-08
1.146341.7003692.254587e-08
1.151321.7002852.222772e-08
1.156321.7002012.190819e-08
1.161351.7001182.158728e-08
1.166391.7000342.126497e-08
1.171461.6999512.094126e-08
1.176551.6998672.061614e-08
1.181661.6997842.028961e-08
1.186791.6997011.996166e-08
1.191951.6996181.963229e-08
1.197131.6995351.930149e-08
1.21.6994891.911800e-08
1.202331.6994521.954558e-08
1.207551.6993692.050471e-08
1.21281.6992862.146801e-08
1.218071.6992042.243550e-08
1.223361.6991212.340719e-08
1.228671.6990382.438310e-08
1.234011.6989552.536325e-08
1.239371.6988732.634766e-08
1.244751.698792.733635e-08
1.250161.6987082.832933e-08
1.255591.6986252.932662e-08
1.261051.6985423.032825e-08
1.266531.698463.133423e-08
1.272031.6983773.234457e-08
1.277551.6982943.335931e-08
1.28311.6982113.437846e-08
1.288681.6981293.540203e-08
1.294281.6980463.643005e-08
1.29991.6979633.746254e-08
1.305551.697883.849951e-08
1.311221.6977973.954098e-08
1.316911.6977144.058698e-08
1.322641.6976314.163753e-08
1.328381.6975474.269263e-08
1.334151.6974644.375233e-08
1.339951.697384.481662e-08
1.345771.6972974.588554e-08
1.351621.6972134.695910e-08
1.357491.6971294.803733e-08
1.363381.6970454.912024e-08
1.369311.6969615.020785e-08
1.375261.6968775.130019e-08
1.381231.6967935.239728e-08
1.387231.6967085.349913e-08
1.393261.6966245.460577e-08
1.399311.6965395.571721e-08
1.41.6965295.584400e-08
1.405391.6964545.709483e-08
1.411491.6963685.851206e-08
1.417631.6962835.993545e-08
1.423781.6961976.136502e-08
1.429971.6961126.280080e-08
1.436181.6960266.424282e-08
1.442421.6959396.569111e-08
1.448691.6958536.714568e-08
1.454981.6957666.860658e-08
1.46131.6956797.007382e-08
1.467651.6955927.154743e-08
1.474031.6955057.302745e-08
1.480431.6954177.451390e-08
1.486861.6953297.600680e-08
1.493321.6952417.750619e-08
1.499811.6951527.901210e-08
1.506321.6950638.052454e-08
1.512871.6949748.204356e-08
1.519441.6948858.356917e-08
1.526041.6947958.510142e-08
1.532671.6947058.664031e-08
1.539331.6946158.818590e-08
1.546011.6945248.973820e-08
1.552731.6944339.129724e-08
1.559481.6943429.286305e-08
1.566251.694259.443567e-08
1.573051.6941589.601512e-08
1.579891.6940659.760143e-08
1.586751.6939739.919463e-08
1.593641.6938791.007948e-07
1.61.6937931.022700e-07
1.600571.6937861.026357e-07
1.607521.6936921.071125e-07
1.61451.6935971.116088e-07
1.621521.6935031.161246e-07
1.628561.6934071.206601e-07
1.635641.6933121.252152e-07
1.642741.6932151.297901e-07
1.649881.6931191.343850e-07
1.657051.6930221.389997e-07
1.664251.6929241.436345e-07
1.671481.6928261.482895e-07
1.678741.6927281.529647e-07
1.686031.6926291.576602e-07
1.693351.692531.623760e-07
1.700711.692431.671124e-07
1.70811.6923291.718694e-07
1.715521.6922281.766470e-07
1.722971.6921271.814453e-07
1.730461.6920251.862646e-07
1.737971.6919221.911047e-07
1.745521.6918191.959659e-07
1.753111.6917152.008482e-07
1.760721.6916112.057517e-07
1.768371.6915062.106765e-07
1.776051.6914012.156227e-07
1.783771.6912952.205904e-07
1.791521.6911882.255796e-07
1.79931.6910812.305906e-07
1.81.6910712.310400e-07
1.807121.6909732.389042e-07
1.814971.6908652.475771e-07
1.822851.6907562.562877e-07
1.830771.6906462.650361e-07
1.838731.6905352.738225e-07
1.846711.6904242.826471e-07
1.854741.6903122.915100e-07
1.862791.69023.004114e-07
1.870891.6900873.093515e-07
1.879011.6899733.183304e-07
1.887181.6898583.273484e-07
1.895371.6897433.364055e-07
1.903611.6896273.455020e-07
1.911881.689513.546379e-07
1.920181.6893933.638136e-07
1.928531.6892743.730291e-07
1.93691.6891553.822847e-07
1.945321.6890353.915805e-07
1.953771.6889154.009166e-07
1.962261.6887934.102933e-07
1.970781.6886714.197108e-07
1.979341.6885484.291691e-07
1.987941.6884244.386686e-07
1.996581.6882994.482093e-07
21.688254.519900e-07
2.005251.6881734.680752e-07
2.013961.6880474.947583e-07
2.022711.6879195.215573e-07
2.03151.6877915.484727e-07
2.040321.6876625.755050e-07
2.049191.6875326.026548e-07
2.058091.6874016.299226e-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
—