Optical constants

Refractive index of J-LAF3 (HIKARI)

J-LAF3: 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
1.717
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.94808
Permittivity ε2
7.67430e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
47.975
Chromatic dispersion dn/dλ
-0.0766532 µm⁻¹
Group index ng
1.76204
Group velocity dispersion
140.33 fs²/mm
Dispersion parameter D
-765.574 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-LAF3 (HIKARI): J-LAF3
hikari_j_laf3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_laf3.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_laf3.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=2.88297779−0.0115922463⁢λ2.0−0.000115749419⁢λ4.0+0.0224704179⁢λ−2.0+0.000475179381⁢λ−4.0−1.9647181×10-6⁢λ−6.0+1.41116684×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.88297779
C2-0.0115922463
C32.0
C4-0.000115749419
C54.0
C60.0224704179
C7-2.0
C80.000475179381
C9-4.0
C10-1.9647181e-06
C11-6.0
C121.41116684e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.6301e-06 1.0963e-08 -1.2155e-12 6.522e-07 7.8937e-10 0.20425
nd
1.717000
Vd
47.974566
density
value: 3930
thermal expansion
value: 6.1e-06, temperature range: 243 343
dPgF
-0.0053
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.51e-06 K⁻¹ at 633 nm, dn/dT = 1.67e-06 K⁻¹ at 1310 nm, dn/dT = 1.60e-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-LAF3 (HIKARI), J-LAF3: n and k versus wavelength
λ (µm)nk
0.3650151.7551356.840516e-07
0.3666011.7545486.186727e-07
0.3681931.7539675.530098e-07
0.3697931.7533944.870617e-07
0.371.753324.785200e-07
0.3713991.7528274.482253e-07
0.3730131.7522674.132942e-07
0.3746331.7517143.782113e-07
0.3762611.7511663.429761e-07
0.3778951.7506263.075878e-07
0.3795371.7500912.720457e-07
0.381.7499422.620200e-07
0.3811861.7495622.502150e-07
0.3828421.749042.337283e-07
0.3845051.7485232.171699e-07
0.3861751.7480132.005396e-07
0.3878531.7475081.838371e-07
0.3895381.7470081.670620e-07
0.391.7468731.624600e-07
0.391231.7465151.560209e-07
0.392931.7460271.471235e-07
0.3946371.7455441.381875e-07
0.3963511.7450661.292126e-07
0.3980731.7445941.201988e-07
0.3998021.7441271.111458e-07
0.41.7440741.101100e-07
0.4015391.7436661.068330e-07
0.4032831.7432091.031186e-07
0.4050351.7427579.938806e-08
0.4067951.742319.564132e-08
0.4085621.7418689.187831e-08
0.4103371.7414318.809895e-08
0.412121.7409988.430317e-08
0.413911.740578.049090e-08
0.4157081.7401477.666207e-08
0.4175141.7397287.281661e-08
0.4193281.7393146.895444e-08
0.421.7391626.752300e-08
0.4211491.7389046.647950e-08
0.4229791.7384986.481853e-08
0.4248171.7380966.315033e-08
0.4266621.7376996.147490e-08
0.4285161.7373065.979218e-08
0.4303771.7369175.810215e-08
0.4322471.7365325.640478e-08
0.4341251.7361515.470004e-08
0.436011.7357745.298789e-08
0.4379051.7354015.126830e-08
0.4398071.7350324.954124e-08
0.441.7349954.936600e-08
0.4417181.7346674.860365e-08
0.4436371.7343054.775193e-08
0.4455641.7339474.689652e-08
0.4474991.7335924.603739e-08
0.4494431.7332424.517452e-08
0.4513961.7328944.430791e-08
0.4533571.732554.343753e-08
0.4553261.732214.256338e-08
0.4573041.7318734.168542e-08
0.4592911.731544.080365e-08
0.461.7314224.048900e-08
0.4612861.731213.985817e-08
0.463291.7308833.887544e-08
0.4653031.7305593.788844e-08
0.4673241.7302393.689716e-08
0.4693541.7299213.590156e-08
0.4713931.7296073.490164e-08
0.4734411.7292963.389738e-08
0.4754981.7289883.288876e-08
0.4775641.7286833.187575e-08
0.4796381.7283813.085834e-08
0.481.7283293.068100e-08
0.4817221.7280823.010102e-08
0.4838151.7277862.939619e-08
0.4859171.7274922.868831e-08
0.4880271.7272022.797734e-08
0.4901481.7269142.726329e-08
0.4922771.7266292.654614e-08
0.4944151.7263472.582587e-08
0.4965631.7260672.510247e-08
0.4987211.7257912.437593e-08
0.51.7256282.394500e-08
0.5008871.7255162.383140e-08
0.5030631.7252452.355275e-08
0.5052481.7249762.327288e-08
0.5074431.7247092.299180e-08
0.5096481.7244452.270950e-08
0.5118621.7241842.242597e-08
0.5140861.7239252.214121e-08
0.5163191.7236682.185521e-08
0.5185621.7234142.156797e-08
0.5208151.7231622.127948e-08
0.5230771.7229122.098974e-08
0.5253491.7226652.069874e-08
0.5276321.722422.040648e-08
0.5299241.7221772.011295e-08
0.5322261.7219371.981814e-08
0.5345381.7216981.952205e-08
0.536861.7214621.922467e-08
0.5391931.7212281.892600e-08
0.5415351.7209971.862604e-08
0.5438871.7207671.832477e-08
0.546251.7205391.802219e-08
0.5486231.7203141.771830e-08
0.551.7201841.754200e-08
0.5510071.720091.767067e-08
0.55341.7198681.797663e-08
0.5558041.7196491.828392e-08
0.5582191.7194311.859255e-08
0.5606441.7192161.890252e-08
0.563081.7190021.921383e-08
0.5655261.718791.952650e-08
0.5679821.718581.984052e-08
0.570451.7183722.015591e-08
0.5729281.7181652.047267e-08
0.5754171.7179612.079081e-08
0.5779171.7177582.111032e-08
0.5804271.7175572.143123e-08
0.5829491.7173582.175353e-08
0.5854811.717162.207723e-08
0.5880251.7169652.240234e-08
0.5905791.716772.272885e-08
0.5931451.7165782.305679e-08
0.5957221.7163872.338615e-08
0.598311.7161982.371695e-08
0.61.7160762.393300e-08
0.6009091.716012.396926e-08
0.6035191.7158242.407342e-08
0.6061411.715642.417803e-08
0.6087741.7154572.428310e-08
0.6114191.7152762.438862e-08
0.6140751.7150962.449460e-08
0.6167431.7149182.460104e-08
0.6194221.7147412.470795e-08
0.6221131.7145652.481531e-08
0.6248161.7143922.492315e-08
0.627531.7142192.503145e-08
0.6302561.7140482.514022e-08
0.6329941.7138782.524947e-08
0.6357441.713712.535919e-08
0.6385061.7135432.546938e-08
0.641281.7133782.558006e-08
0.6440661.7132132.569122e-08
0.6468641.713052.580286e-08
0.6496741.7128892.591498e-08
0.651.712872.592800e-08
0.6524961.7127282.602754e-08
0.6553311.7125692.614058e-08
0.6581781.7124122.625412e-08
0.6610371.7122552.636815e-08
0.6639081.71212.648267e-08
0.6667931.7119462.659769e-08
0.6696891.7117932.671321e-08
0.6725991.7116412.682923e-08
0.6755211.711492.694576e-08
0.6784551.7113412.706279e-08
0.6814031.7111932.718033e-08
0.6843631.7110462.729839e-08
0.6873361.71092.741695e-08
0.6903221.7107552.753603e-08
0.6933211.7106112.765563e-08
0.6963331.7104682.777574e-08
0.6993581.7103272.789638e-08
0.71.7102972.792200e-08
0.7023961.7101862.847811e-08
0.7054471.7100462.918639e-08
0.7085121.7099082.989775e-08
0.711591.709773.061221e-08
0.7146811.7096343.132976e-08
0.7177861.7094983.205043e-08
0.7209041.7093643.277424e-08
0.7240361.709233.350118e-08
0.7271811.7090973.423129e-08
0.730341.7089663.496457e-08
0.7335131.7088353.570103e-08
0.73671.7087053.644069e-08
0.73991.7085763.718357e-08
0.7431141.7084483.792967e-08
0.7463421.7083213.867902e-08
0.7495851.7081943.943162e-08
0.7528411.7080694.018748e-08
0.7561121.7079444.094664e-08
0.7593961.707824.170909e-08
0.7626951.7076974.247485e-08
0.7660091.7075754.324394e-08
0.7693361.7074544.401637e-08
0.7726791.7073334.479216e-08
0.7760351.7072144.557131e-08
0.7794071.7070954.635386e-08
0.7827931.7069764.713980e-08
0.7861931.7068594.792915e-08
0.7896091.7067424.872194e-08
0.7930391.7066264.951816e-08
0.7964841.7065115.031785e-08
0.7999441.7063965.112101e-08
0.81.7063955.113400e-08
0.8034191.7062835.061312e-08
0.8069091.7061695.008142e-08
0.8104151.7060574.954740e-08
0.8139351.7059454.901107e-08
0.8174711.7058344.847241e-08
0.8210231.7057234.793140e-08
0.8245891.7056144.738805e-08
0.8281721.7055044.684234e-08
0.8317691.7053964.629425e-08
0.8353831.7052884.574379e-08
0.8390121.705184.519093e-08
0.8426571.7050744.463567e-08
0.8463171.7049674.407800e-08
0.8499941.7048624.351791e-08
0.8536871.7047574.295538e-08
0.8573951.7046524.239041e-08
0.861121.7045484.182299e-08
0.8648611.7044454.125310e-08
0.8686181.7043424.068073e-08
0.8723911.704244.010588e-08
0.8761811.7041383.952853e-08
0.8799881.7040373.894867e-08
0.8838111.7039363.836630e-08
0.887651.7038363.778139e-08
0.8915061.7037363.719394e-08
0.8953791.7036363.660394e-08
0.8992691.7035383.601138e-08
0.91.7035193.590000e-08
0.9031751.7034393.526588e-08
0.9070991.7033413.448238e-08
0.911041.7032443.369547e-08
0.9149981.7031473.290514e-08
0.9189721.703053.211138e-08
0.9229651.7029543.131417e-08
0.9269741.7028583.051350e-08
0.9310011.7027622.970935e-08
0.9350461.7026672.890171e-08
0.9391081.7025732.809056e-08
0.9431881.7024782.727588e-08
0.9472851.7023842.645767e-08
0.95141.7022912.563590e-08
0.9555331.7021982.481056e-08
0.9596841.7021052.398163e-08
0.9638531.7020122.314910e-08
0.9680411.701922.231296e-08
0.9722461.7018282.147319e-08
0.976471.7017372.062976e-08
0.9807121.7016461.978267e-08
0.9849721.7015551.893191e-08
0.9892511.7014641.807744e-08
0.9935491.7013741.721927e-08
0.9978651.7012841.635736e-08
11.7012391.593100e-08
1.00221.7011941.596605e-08
1.006551.7011041.603543e-08
1.010931.7010151.610511e-08
1.015321.7009261.617509e-08
1.019731.7008371.624538e-08
1.024161.7007491.631597e-08
1.028611.700661.638687e-08
1.033081.7005721.645807e-08
1.037561.7004841.652959e-08
1.042071.7003961.660141e-08
1.04661.7003091.667355e-08
1.051151.7002221.674600e-08
1.055711.7001351.681877e-08
1.06031.7000481.689185e-08
1.06491.6999611.696525e-08
1.069531.6998741.703897e-08
1.074181.6997881.711301e-08
1.078841.6997011.718737e-08
1.083531.6996151.726205e-08
1.088241.6995291.733706e-08
1.092961.6994431.741239e-08
1.097711.6993581.748805e-08
1.102481.6992721.756404e-08
1.107271.6991861.764036e-08
1.112081.6991011.771701e-08
1.116911.6990161.779400e-08
1.121761.698931.787132e-08
1.126641.6988451.794897e-08
1.131531.698761.802696e-08
1.136451.6986751.810529e-08
1.141381.698591.818396e-08
1.146341.6985051.826298e-08
1.151321.698421.834233e-08
1.156321.6983351.842203e-08
1.161351.698251.850208e-08
1.166391.6981651.858248e-08
1.171461.6980811.866322e-08
1.176551.6979961.874432e-08
1.181661.6979111.882576e-08
1.186791.6978261.890756e-08
1.191951.6977411.898972e-08
1.197131.6976561.907223e-08
1.21.697611.911800e-08
1.202331.6975721.980655e-08
1.207551.6974872.135110e-08
1.21281.6974022.290236e-08
1.218071.6973172.446036e-08
1.223361.6972322.602513e-08
1.228671.6971472.759670e-08
1.234011.6970622.917509e-08
1.239371.6969763.076034e-08
1.244751.6968913.235248e-08
1.250161.6968063.395153e-08
1.255591.696723.555753e-08
1.261051.6966343.717051e-08
1.266531.6965493.879049e-08
1.272031.6964634.041752e-08
1.277551.6963774.205161e-08
1.28311.6962914.369280e-08
1.288681.6962054.534111e-08
1.294281.6961184.699659e-08
1.29991.6960324.865927e-08
1.305551.6959455.032916e-08
1.311221.6958585.200631e-08
1.316911.6957715.369074e-08
1.322641.6956845.538249e-08
1.328381.6955975.708160e-08
1.334151.6955095.878808e-08
1.339951.6954216.050198e-08
1.345771.6953336.222332e-08
1.351621.6952456.395214e-08
1.357491.6951576.568847e-08
1.363381.6950686.743234e-08
1.369311.6949796.918379e-08
1.375261.694897.094285e-08
1.381231.6948017.270955e-08
1.387231.6947117.448392e-08
1.393261.6946217.626600e-08
1.399311.6945317.805583e-08
1.41.6945217.826000e-08
1.405391.694447.856122e-08
1.411491.694357.890250e-08
1.417631.6942597.924528e-08
1.423781.6941677.958954e-08
1.429971.6940767.993529e-08
1.436181.6939848.028255e-08
1.442421.6938918.063131e-08
1.448691.6937998.098160e-08
1.454981.6937068.133340e-08
1.46131.6936128.168673e-08
1.467651.6935198.204160e-08
1.474031.6934258.239800e-08
1.480431.693338.275596e-08
1.486861.6932358.311547e-08
1.493321.693148.347654e-08
1.499811.6930448.383919e-08
1.506321.6929488.420340e-08
1.512871.6928528.456920e-08
1.519441.6927558.493659e-08
1.526041.6926588.530558e-08
1.532671.692568.567616e-08
1.539331.6924628.604836e-08
1.546011.6923638.642217e-08
1.552731.6922648.679761e-08
1.559481.6921658.717468e-08
1.566251.6920658.755339e-08
1.573051.6919648.793374e-08
1.579891.6918638.831575e-08
1.586751.6917618.869941e-08
1.593641.6916598.908474e-08
1.61.6915658.944000e-08
1.600571.6915578.975948e-08
1.607521.6914549.367103e-08
1.61451.691359.759957e-08
1.621521.6912461.015452e-07
1.628561.6911411.055079e-07
1.635641.6910361.094879e-07
1.642741.690931.134851e-07
1.649881.6908231.174997e-07
1.657051.6907161.215318e-07
1.664251.6906091.255814e-07
1.671481.69051.296485e-07
1.678741.6903911.337334e-07
1.686031.6902821.378360e-07
1.693351.6901721.419564e-07
1.700711.6900611.460947e-07
1.70811.6899491.502509e-07
1.715521.6898371.544253e-07
1.722971.6897241.586177e-07
1.730461.6896111.628284e-07
1.737971.6894961.670574e-07
1.745521.6893811.713047e-07
1.753111.6892661.755705e-07
1.760721.6891491.798549e-07
1.768371.6890321.841578e-07
1.776051.6889141.884794e-07
1.783771.6887961.928199e-07
1.791521.6886761.971791e-07
1.79931.6885562.015573e-07
1.81.6885452.019500e-07
1.807121.6884352.120163e-07
1.814971.6883132.231178e-07
1.822851.688192.342675e-07
1.830771.6880672.454656e-07
1.838731.6879432.567124e-07
1.846711.6878172.680080e-07
1.854741.6876912.793527e-07
1.862791.6875652.907467e-07
1.870891.6874373.021902e-07
1.879011.6873083.136834e-07
1.887181.6871793.252265e-07
1.895371.6870483.368197e-07
1.903611.6869173.484634e-07
1.911881.6867843.601576e-07
1.920181.6866513.719026e-07
1.928531.6865173.836986e-07
1.93691.6863813.955459e-07
1.945321.6862454.074447e-07
1.953771.6861084.193951e-07
1.962261.685974.313975e-07
1.970781.6858314.434520e-07
1.979341.685694.555589e-07
1.987941.6855494.677183e-07
1.996581.6854064.799306e-07
21.685354.847700e-07
2.005251.6852635.098696e-07
2.013961.6851185.515065e-07
2.022711.6849735.933243e-07
2.03151.6848266.353237e-07
2.040321.6846786.775056e-07
2.049191.6845297.198707e-07
2.058091.6843787.624199e-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
—