Optical constants

Refractive index of J-LAF2 (HIKARI)

J-LAF2: 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
1.744
Extinction coefficient k
1.29605e-08
Permittivity ε1
3.04152
Permittivity ε2
4.52061e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
44.804
Chromatic dispersion dn/dλ
-0.0849666 µm⁻¹
Group index ng
1.79392
Group velocity dispersion
157.698 fs²/mm
Dispersion parameter D
-860.328 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-LAF2 (HIKARI): J-LAF2
hikari_j_laf2 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAF2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_laf2.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_laf2.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=2.96796358−0.0119454184⁢λ2.0−0.000121022641⁢λ4.0+0.0250950364⁢λ−2.0+0.00059199783⁢λ−4.0−3.88364981×10-6⁢λ−6.0+2.08885425×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.96796358
C2-0.0119454184
C32.0
C4-0.000121022641
C54.0
C60.0250950364
C7-2.0
C80.00059199783
C9-4.0
C10-3.88364981e-06
C11-6.0
C122.08885425e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.5108e-06 1.43e-08 -2.2272e-12 7.8499e-07 8.1123e-10 0.19366
nd
1.744000
Vd
44.804167
density
value: 4160
thermal expansion
value: 5.8e-06, temperature range: 243 343
dPgF
-0.0056
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.89e-06 K⁻¹ at 633 nm, dn/dT = 2.84e-06 K⁻¹ at 1310 nm, dn/dT = 2.75e-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-LAF2 (HIKARI), J-LAF2: n and k versus wavelength
λ (µm)nk
0.3650151.7869121.076875e-06
0.3666011.7862419.791162e-07
0.3681931.7855798.809324e-07
0.3697931.7849257.823222e-07
0.371.7848417.695500e-07
0.3713991.7842787.207944e-07
0.3730131.783646.645771e-07
0.3746331.7830096.081156e-07
0.3762611.7823855.514088e-07
0.3778951.781774.944557e-07
0.3795371.7811614.372551e-07
0.381.7809914.211200e-07
0.3811861.780563.998767e-07
0.3828421.7799663.702085e-07
0.3845051.7793793.404115e-07
0.3861751.7787993.104850e-07
0.3878531.7782252.804284e-07
0.3895381.7776592.502414e-07
0.391.7775052.419600e-07
0.391231.7770982.314582e-07
0.392931.7765452.169470e-07
0.3946371.7759972.023728e-07
0.3963511.7754561.877354e-07
0.3980731.7749221.730343e-07
0.3998021.7743931.582693e-07
0.41.7743331.565800e-07
0.4015391.773871.505157e-07
0.4032831.7733531.436419e-07
0.4050351.7728421.367384e-07
0.4067951.7723371.298048e-07
0.4085621.7718371.228411e-07
0.4103371.7713431.158471e-07
0.412121.7708551.088228e-07
0.413911.7703711.017679e-07
0.4157081.7698939.468245e-08
0.4175141.7694218.756617e-08
0.4193281.7689538.041897e-08
0.421.7687827.777000e-08
0.4211491.7684917.634179e-08
0.4229791.7680347.406846e-08
0.4248171.7675817.178525e-08
0.4266621.7671346.949212e-08
0.4285161.7666916.718903e-08
0.4303771.7662536.487593e-08
0.4322471.765826.255279e-08
0.4341251.7653916.021955e-08
0.436011.7649675.787618e-08
0.4379051.7645485.552263e-08
0.4398071.7641325.315885e-08
0.441.7640915.291900e-08
0.4417181.7637225.153385e-08
0.4436371.7633154.998633e-08
0.4455641.7629134.843209e-08
0.4474991.7625154.687110e-08
0.4494431.7621214.530333e-08
0.4513961.7617314.372874e-08
0.4533571.7613464.214732e-08
0.4553261.7609644.055902e-08
0.4573041.7605863.896383e-08
0.4592911.7602123.736171e-08
0.461.760083.679000e-08
0.4612861.7598423.614953e-08
0.463291.7594753.515177e-08
0.4653031.7591133.414967e-08
0.4673241.7587543.314322e-08
0.4693541.7583983.213240e-08
0.4713931.7580473.111719e-08
0.4734411.7576983.009757e-08
0.4754981.7573542.907352e-08
0.4775641.7570122.804502e-08
0.4796381.7566752.701205e-08
0.481.7566162.683200e-08
0.4817221.756342.589478e-08
0.4838151.7560092.475582e-08
0.4859171.7556812.361192e-08
0.4880271.7553562.246304e-08
0.4901481.7550352.130917e-08
0.4922771.7547162.015029e-08
0.4944151.7544011.898638e-08
0.4965631.7540891.781741e-08
0.4987211.753781.664336e-08
0.51.7535991.594700e-08
0.5008871.7534741.581953e-08
0.5030631.7531711.550686e-08
0.5052481.752871.519283e-08
0.5074431.7525731.487743e-08
0.5096481.7522791.456066e-08
0.5118621.7519871.424252e-08
0.5140861.7516981.392300e-08
0.5163191.7514121.360208e-08
0.5185621.7511291.327978e-08
0.5208151.7508481.295607e-08
0.5230771.750571.263095e-08
0.5253491.7502951.230443e-08
0.5276321.7500221.197648e-08
0.5299241.7497521.164712e-08
0.5322261.7494841.131632e-08
0.5345381.7492191.098408e-08
0.536861.7489561.065040e-08
0.5391931.7486961.031527e-08
0.5415351.7484389.978683e-09
0.5438871.7481829.640635e-09
0.546251.7479299.301119e-09
0.5486231.7476788.960127e-09
0.551.7475348.762300e-09
0.5510071.747438.874693e-09
0.55341.7471849.141960e-09
0.5558041.746949.410387e-09
0.5582191.7466989.679981e-09
0.5606441.7464589.950746e-09
0.563081.7462211.022269e-08
0.5655261.7459861.049581e-08
0.5679821.7457521.077012e-08
0.570451.7455211.104562e-08
0.5729281.7452921.132232e-08
0.5754171.7450661.160022e-08
0.5779171.7448411.187932e-08
0.5804271.7446181.215964e-08
0.5829491.7443971.244118e-08
0.5854811.7441781.272394e-08
0.5880251.7439611.300793e-08
0.5905791.7437461.329315e-08
0.5931451.7435321.357961e-08
0.5957221.7433211.386732e-08
0.598311.7431111.415627e-08
0.61.7429761.434500e-08
0.6009091.7429041.446110e-08
0.6035191.7426981.479457e-08
0.6061411.7424931.512948e-08
0.6087741.7422911.546585e-08
0.6114191.742091.580367e-08
0.6140751.7418911.614297e-08
0.6167431.7416941.648374e-08
0.6194221.7414981.682599e-08
0.6221131.7413051.716973e-08
0.6248161.7411121.751496e-08
0.627531.7409221.786169e-08
0.6302561.7407321.820993e-08
0.6329941.7405451.855968e-08
0.6357441.7403591.891095e-08
0.6385061.7401751.926374e-08
0.641281.7399921.961807e-08
0.6440661.739811.997394e-08
0.6468641.7396312.033135e-08
0.6496741.7394522.069031e-08
0.651.7394322.073200e-08
0.6524961.7392752.109092e-08
0.6553311.73912.149854e-08
0.6581781.7389262.190792e-08
0.6610371.7387532.231909e-08
0.6639081.7385822.273204e-08
0.6667931.7384122.314678e-08
0.6696891.7382432.356333e-08
0.6725991.7380762.398168e-08
0.6755211.737912.440186e-08
0.6784551.7377452.482386e-08
0.6814031.7375822.524769e-08
0.6843631.737422.567336e-08
0.6873361.7372592.610088e-08
0.6903221.73712.653026e-08
0.6933211.7369412.696151e-08
0.6963331.7367842.739462e-08
0.6993581.7366292.782962e-08
0.71.7365962.792200e-08
0.7023961.7364742.894006e-08
0.7054471.736323.023671e-08
0.7085121.7361683.153899e-08
0.711591.7360173.284694e-08
0.7146811.7358673.416056e-08
0.7177861.7357183.547989e-08
0.7209041.735573.680495e-08
0.7240361.7354233.813576e-08
0.7271811.7352773.947236e-08
0.730341.7351334.081477e-08
0.7335131.7349894.216300e-08
0.73671.7348474.351710e-08
0.73991.7347054.487707e-08
0.7431141.7345654.624296e-08
0.7463421.7344254.761477e-08
0.7495851.7342874.899255e-08
0.7528411.7341495.037631e-08
0.7561121.7340135.176609e-08
0.7593961.7338775.316190e-08
0.7626951.7337425.456377e-08
0.7660091.7336095.597174e-08
0.7693361.7334765.738582e-08
0.7726791.7333445.880605e-08
0.7760351.7332136.023244e-08
0.7794071.7330836.166503e-08
0.7827931.7329536.310385e-08
0.7861931.7328256.454891e-08
0.7896091.7326976.600025e-08
0.7930391.732576.745790e-08
0.7964841.7324446.892188e-08
0.7999441.7323197.039222e-08
0.81.7323177.041600e-08
0.8034191.7321956.825335e-08
0.8069091.7320716.604576e-08
0.8104151.7319486.382857e-08
0.8139351.7318266.160176e-08
0.8174711.7317055.936527e-08
0.8210231.7315855.711907e-08
0.8245891.7314655.486311e-08
0.8281721.7313465.259735e-08
0.8317691.7312275.032174e-08
0.8353831.731114.803625e-08
0.8390121.7309934.574083e-08
0.8426571.7308774.343544e-08
0.8463171.7307614.112004e-08
0.8499941.7306463.879457e-08
0.8536871.7305323.645900e-08
0.8573951.7304183.411329e-08
0.861121.7303053.175739e-08
0.8648611.7301932.939125e-08
0.8686181.7300812.701483e-08
0.8723911.729972.462809e-08
0.8761811.7298592.223098e-08
0.8799881.7297491.982346e-08
0.8838111.729641.740547e-08
0.887651.7295311.497699e-08
0.8915061.7294231.253795e-08
0.8953791.7293151.008832e-08
0.8992691.7292087.628046e-09
0.91.7291887.165600e-09
0.9031751.7291017.697287e-09
0.9070991.7289958.354232e-09
0.911041.7288899.014030e-09
0.9149981.7287849.676696e-09
0.9189721.7286791.034224e-08
0.9229651.7285751.101068e-08
0.9269741.7284721.168201e-08
0.9310011.7283681.235627e-08
0.9350461.7282661.303345e-08
0.9391081.7281631.371358e-08
0.9431881.7280611.439666e-08
0.9472851.727961.508271e-08
0.95141.7278591.577174e-08
0.9555331.7277581.646376e-08
0.9596841.7276581.715879e-08
0.9638531.7275581.785684e-08
0.9680411.7274591.855792e-08
0.9722461.727361.926205e-08
0.976471.7272611.996923e-08
0.9807121.7271632.067949e-08
0.9849721.7270652.139283e-08
0.9892511.7269682.210927e-08
0.9935491.726872.282883e-08
0.9978651.7267742.355151e-08
11.7267262.390900e-08
1.00221.7266772.375111e-08
1.006551.7265812.343862e-08
1.010931.7264852.312477e-08
1.015321.7263892.280956e-08
1.019731.7262942.249298e-08
1.024161.7261992.217502e-08
1.028611.7261042.185568e-08
1.033081.726012.153496e-08
1.037561.7259152.121284e-08
1.042071.7258212.088932e-08
1.04661.7257282.056440e-08
1.051151.7256342.023806e-08
1.055711.7255411.991031e-08
1.06031.7254481.958113e-08
1.06491.7253551.925052e-08
1.069531.7252621.891848e-08
1.074181.725171.858500e-08
1.078841.7250781.825006e-08
1.083531.7249861.791367e-08
1.088241.7248941.757582e-08
1.092961.7248021.723651e-08
1.097711.7247111.689571e-08
1.102481.7246191.655344e-08
1.107271.7245281.620968e-08
1.112081.7244371.586443e-08
1.116911.7243461.551768e-08
1.121761.7242551.516942e-08
1.126641.7241641.481964e-08
1.131531.7240741.446835e-08
1.136451.7239831.411554e-08
1.141381.7238931.376119e-08
1.146341.7238031.340530e-08
1.151321.7237121.304786e-08
1.156321.7236221.268887e-08
1.161351.7235321.232832e-08
1.166391.7234421.196621e-08
1.171461.7233521.160252e-08
1.176551.7232621.123725e-08
1.181661.7231721.087040e-08
1.186791.7230821.050195e-08
1.191951.7229931.013190e-08
1.197131.7229039.760247e-09
1.21.7228539.554100e-09
1.202331.7228139.832571e-09
1.207551.7227231.045724e-08
1.21281.7226331.108462e-08
1.218071.7225431.171472e-08
1.223361.7224541.234756e-08
1.228671.7223641.298315e-08
1.234011.7222741.362151e-08
1.239371.7221841.426263e-08
1.244751.7220941.490654e-08
1.250161.7220041.555325e-08
1.255591.7219141.620277e-08
1.261051.7218231.685511e-08
1.266531.7217331.751028e-08
1.272031.7216431.816830e-08
1.277551.7215521.882918e-08
1.28311.7214621.949293e-08
1.288681.7213712.015956e-08
1.294281.721282.082909e-08
1.29991.7211892.150152e-08
1.305551.7210982.217688e-08
1.311221.7210072.285517e-08
1.316911.7209152.353641e-08
1.322641.7208242.422061e-08
1.328381.7207322.490778e-08
1.334151.720642.559794e-08
1.339951.7205482.629109e-08
1.345771.7204562.698726e-08
1.351621.7203642.768645e-08
1.357491.7202712.838867e-08
1.363381.7201782.909395e-08
1.369311.7200852.980229e-08
1.375261.7199923.051371e-08
1.381231.7198983.122822e-08
1.387231.7198043.194583e-08
1.393261.719713.266656e-08
1.399311.7196163.339043e-08
1.41.7196053.347300e-08
1.405391.7195223.498089e-08
1.411491.7194273.668937e-08
1.417631.7193323.840528e-08
1.423781.7192364.012864e-08
1.429971.7191414.185949e-08
1.436181.7190454.359786e-08
1.442421.7189494.534378e-08
1.448691.7188524.709729e-08
1.454981.7187554.885841e-08
1.46131.7186585.062719e-08
1.467651.718565.240365e-08
1.474031.7184625.418782e-08
1.480431.7183645.597975e-08
1.486861.7182655.777946e-08
1.493321.7181665.958699e-08
1.499811.7180676.140237e-08
1.506321.7179676.322564e-08
1.512871.7178676.505682e-08
1.519441.7177666.689597e-08
1.526041.7176656.874310e-08
1.532671.7175647.059826e-08
1.539331.7174627.246148e-08
1.546011.7173597.433279e-08
1.552731.7172577.621223e-08
1.559481.7171537.809983e-08
1.566251.717057.999564e-08
1.573051.7169458.189968e-08
1.579891.7168418.381199e-08
1.586751.7167358.573261e-08
1.593641.716638.766158e-08
1.61.7165328.944000e-08
1.600571.7165248.975948e-08
1.607521.7164179.367103e-08
1.61451.716319.759957e-08
1.621521.7162021.015452e-07
1.628561.7160931.055079e-07
1.635641.7159841.094879e-07
1.642741.7158751.134851e-07
1.649881.7157651.174997e-07
1.657051.7156541.215318e-07
1.664251.7155431.255814e-07
1.671481.7154311.296485e-07
1.678741.7153181.337334e-07
1.686031.7152051.378360e-07
1.693351.7150921.419564e-07
1.700711.7149771.460947e-07
1.70811.7148621.502509e-07
1.715521.7147461.544253e-07
1.722971.714631.586177e-07
1.730461.7145131.628284e-07
1.737971.7143951.670574e-07
1.745521.7142771.713047e-07
1.753111.7141571.755705e-07
1.760721.7140371.798549e-07
1.768371.7139171.841578e-07
1.776051.7137951.884794e-07
1.783771.7136731.928199e-07
1.791521.713551.971791e-07
1.79931.7134262.015573e-07
1.81.7134152.019500e-07
1.807121.7133022.120163e-07
1.814971.7131762.231178e-07
1.822851.713052.342675e-07
1.830771.7129232.454656e-07
1.838731.7127952.567124e-07
1.846711.7126672.680080e-07
1.854741.7125372.793527e-07
1.862791.7124072.907467e-07
1.870891.7122753.021902e-07
1.879011.7121433.136834e-07
1.887181.712013.252265e-07
1.895371.7118763.368197e-07
1.903611.7117413.484634e-07
1.911881.7116053.601576e-07
1.920181.7114683.719026e-07
1.928531.7113313.836986e-07
1.93691.7111923.955459e-07
1.945321.7110524.074447e-07
1.953771.7109114.193951e-07
1.962261.7107694.313975e-07
1.970781.7106264.434520e-07
1.979341.7104824.555589e-07
1.987941.7103374.677183e-07
1.996581.7101914.799306e-07
21.7101334.847700e-07
2.005251.7100445.093708e-07
2.013961.7098965.501801e-07
2.022711.7097475.911667e-07
2.03151.7095966.323313e-07
2.040321.7094456.736748e-07
2.049191.7092927.151979e-07
2.058091.7091387.569013e-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
—