Optical constants

Refractive index of J-LAK011 (HIKARI)

J-LAK011: 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
1.741
Extinction coefficient k
2.81403e-08
Permittivity ε1
3.03107
Permittivity ε2
9.79843e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
52.766
Chromatic dispersion dn/dλ
-0.0724123 µm⁻¹
Group index ng
1.78355
Group velocity dispersion
128.104 fs²/mm
Dispersion parameter D
-698.875 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-LAK011 (HIKARI): J-LAK011
hikari_j_lak011 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK011", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak011.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak011.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=2.96970289−0.0138160772⁢λ2.0−0.000188539623⁢λ4.0+0.021844812⁢λ−2.0+0.000320709012⁢λ−4.0+8.12772786×10-6⁢λ−6.0+7.94854532×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.96970289
C2-0.0138160772
C32.0
C4-0.000188539623
C54.0
C60.021844812
C7-2.0
C80.000320709012
C9-4.0
C108.12772786e-06
C11-6.0
C127.94854532e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.4663e-06 1.067e-08 -1.6899e-12 5.8363e-07 5.2555e-10 0.16733
nd
1.741000
Vd
52.765834
density
value: 4190
thermal expansion
value: 5.3e-06, temperature range: 243 343
dPgF
-0.0086
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.51e-06 K⁻¹ at 633 nm, dn/dT = 2.74e-06 K⁻¹ at 1310 nm, dn/dT = 2.67e-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-LAK011 (HIKARI), J-LAK011: n and k versus wavelength
λ (µm)nk
0.3650151.7758292.737682e-07
0.3666011.7753112.566679e-07
0.3681931.7747992.394933e-07
0.3697931.7742922.222441e-07
0.371.7742272.200100e-07
0.3713991.7737912.095937e-07
0.3730131.7732941.975832e-07
0.3746331.7728031.855205e-07
0.3762611.7723171.734054e-07
0.3778951.7718361.612377e-07
0.3795371.771361.490172e-07
0.381.7712271.455700e-07
0.3811861.7708891.406576e-07
0.3828421.7704231.337969e-07
0.3845051.7699621.269065e-07
0.3861751.7695061.199861e-07
0.3878531.7690541.130357e-07
0.3895381.7686071.060550e-07
0.391.7684851.041400e-07
0.391231.7681641.012432e-07
0.392931.7677269.724049e-08
0.3946371.7672929.322038e-08
0.3963511.7668638.918281e-08
0.3980731.7664388.512770e-08
0.3998021.7660188.105498e-08
0.41.765978.058900e-08
0.4015391.7656027.879748e-08
0.4032831.765197.676685e-08
0.4050351.7647827.472739e-08
0.4067951.7643787.267908e-08
0.4085621.7639787.062187e-08
0.4103371.7635826.855572e-08
0.412121.7631916.648060e-08
0.413911.7628036.439646e-08
0.4157081.7624196.230326e-08
0.4175141.7620386.020098e-08
0.4193281.7616625.808956e-08
0.421.7615245.730700e-08
0.4211491.7612895.664666e-08
0.4229791.760925.559557e-08
0.4248171.7605555.453992e-08
0.4266621.7601935.347968e-08
0.4285161.7598355.241483e-08
0.4303771.759485.134536e-08
0.4322471.7591285.027124e-08
0.4341251.758784.919245e-08
0.436011.7584364.810898e-08
0.4379051.7580954.702080e-08
0.4398071.7577574.592790e-08
0.441.7577234.581700e-08
0.4417181.7574224.535943e-08
0.4436371.7570914.484823e-08
0.4455641.7567624.433481e-08
0.4474991.7564374.381916e-08
0.4494431.7561154.330126e-08
0.4513961.7557964.278112e-08
0.4533571.7554814.225872e-08
0.4553261.7551684.173405e-08
0.4573041.7548584.120710e-08
0.4592911.7545514.067786e-08
0.461.7544424.048900e-08
0.4612861.7542474.010592e-08
0.463291.7539453.950915e-08
0.4653031.7536473.890979e-08
0.4673241.7533523.830782e-08
0.4693541.7530593.770324e-08
0.4713931.7527693.709603e-08
0.4734411.7524813.648618e-08
0.4754981.7521973.587368e-08
0.4775641.7519153.525852e-08
0.4796381.7516353.464069e-08
0.481.7515873.453300e-08
0.4817221.7513583.431137e-08
0.4838151.7510843.404204e-08
0.4859171.7508123.377154e-08
0.4880271.7505433.349986e-08
0.4901481.7502763.322700e-08
0.4922771.7500123.295296e-08
0.4944151.749753.267773e-08
0.4965631.749493.240130e-08
0.4987211.7492333.212367e-08
0.51.7490823.195900e-08
0.5008871.7489783.185931e-08
0.5030631.7487263.161477e-08
0.5052481.7484753.136918e-08
0.5074431.7482273.112251e-08
0.5096481.7479813.087478e-08
0.5118621.7477383.062596e-08
0.5140861.7474963.037607e-08
0.5163191.7472573.012509e-08
0.5185621.747022.987302e-08
0.5208151.7467852.961986e-08
0.5230771.7465522.936559e-08
0.5253491.7463212.911022e-08
0.5276321.7460922.885375e-08
0.5299241.7458652.859615e-08
0.5322261.745642.833744e-08
0.5345381.7454172.807761e-08
0.536861.7451962.781664e-08
0.5391931.7449772.755454e-08
0.5415351.744762.729131e-08
0.5438871.7445442.702693e-08
0.546251.7443312.676140e-08
0.5486231.7441192.649472e-08
0.551.7439982.634000e-08
0.5510071.743912.638820e-08
0.55341.7437022.650281e-08
0.5558041.7434952.661792e-08
0.5582191.7432912.673352e-08
0.5606441.7430882.684963e-08
0.563081.7428872.696625e-08
0.5655261.7426882.708337e-08
0.5679821.742492.720100e-08
0.570451.7422942.731914e-08
0.5729281.74212.743780e-08
0.5754171.7419072.755697e-08
0.5779171.7417162.767666e-08
0.5804271.7415262.779686e-08
0.5829491.7413382.791759e-08
0.5854811.7411512.803885e-08
0.5880251.7409672.816063e-08
0.5905791.7407832.828294e-08
0.5931451.7406012.840578e-08
0.5957221.7404212.852916e-08
0.598311.7402422.865307e-08
0.61.7401262.873400e-08
0.6009091.7400642.887217e-08
0.6035191.7398882.926902e-08
0.6061411.7397132.966759e-08
0.6087741.739543.006789e-08
0.6114191.7393683.046993e-08
0.6140751.7391973.087372e-08
0.6167431.7390283.127926e-08
0.6194221.738863.168656e-08
0.6221131.7386943.209564e-08
0.6248161.7385283.250649e-08
0.627531.7383643.291912e-08
0.6302561.7382013.333355e-08
0.6329941.738043.374978e-08
0.6357441.737883.416781e-08
0.6385061.7377213.458766e-08
0.641281.7375633.500934e-08
0.6440661.7374063.543285e-08
0.6468641.7372513.585819e-08
0.6496741.7370973.628539e-08
0.651.7370793.633500e-08
0.6524961.7369433.647453e-08
0.6553311.7367913.663298e-08
0.6581781.7366413.679212e-08
0.6610371.7364913.695196e-08
0.6639081.7363423.711248e-08
0.6667931.7361953.727371e-08
0.6696891.7360483.743563e-08
0.6725991.7359033.759826e-08
0.6755211.7357583.776160e-08
0.6784551.7356153.792565e-08
0.6814031.7354733.809040e-08
0.6843631.7353313.825588e-08
0.6873361.7351913.842207e-08
0.6903221.7350523.858898e-08
0.6933211.7349143.875662e-08
0.6963331.7347763.892499e-08
0.6993581.734643.909409e-08
0.71.7346113.913000e-08
0.7023961.7345043.957142e-08
0.7054471.734374.013364e-08
0.7085121.7342364.069830e-08
0.711591.7341034.126541e-08
0.7146811.7339714.183498e-08
0.7177861.733844.240703e-08
0.7209041.733714.298156e-08
0.7240361.7335814.355859e-08
0.7271811.7334534.413813e-08
0.730341.7333254.472018e-08
0.7335131.7331984.530477e-08
0.73671.7330724.589189e-08
0.73991.7329474.648156e-08
0.7431141.7328234.707379e-08
0.7463421.7326994.766860e-08
0.7495851.7325764.826599e-08
0.7528411.7324544.886598e-08
0.7561121.7323334.946857e-08
0.7593961.7322135.007378e-08
0.7626951.7320935.068162e-08
0.7660091.7319745.129210e-08
0.7693361.7318555.190524e-08
0.7726791.7317375.252103e-08
0.7760351.731625.313950e-08
0.7794071.7315045.376066e-08
0.7827931.7313885.438452e-08
0.7861931.7312735.501109e-08
0.7896091.7311595.564037e-08
0.7930391.7310455.627240e-08
0.7964841.7309325.690716e-08
0.7999441.730825.754469e-08
0.81.7308185.755500e-08
0.8034191.7307085.632283e-08
0.8069091.7305965.506505e-08
0.8104151.7304865.380181e-08
0.8139351.7303765.253308e-08
0.8174711.7302665.125883e-08
0.8210231.7301574.997906e-08
0.8245891.7300494.869372e-08
0.8281721.7299414.740280e-08
0.8317691.7298344.610627e-08
0.8353831.7297274.480411e-08
0.8390121.729624.349629e-08
0.8426571.7295154.218279e-08
0.8463171.7294094.086359e-08
0.8499941.7293053.953865e-08
0.8536871.72923.820796e-08
0.8573951.7290963.687148e-08
0.861121.7289933.552920e-08
0.8648611.728893.418109e-08
0.8686181.7287883.282713e-08
0.8723911.7286863.146728e-08
0.8761811.7285843.010152e-08
0.8799881.7284832.872983e-08
0.8838111.7283822.735218e-08
0.887651.7282822.596855e-08
0.8915061.7281822.457890e-08
0.8953791.7280822.318322e-08
0.8992691.7279832.178148e-08
0.91.7279652.151800e-08
0.9031751.7278842.260980e-08
0.9070991.7277862.395881e-08
0.911041.7276882.531369e-08
0.9149981.727592.667445e-08
0.9189721.7274932.804112e-08
0.9229651.7273962.941373e-08
0.9269741.7272993.079230e-08
0.9310011.7272023.217686e-08
0.9350461.7271063.356744e-08
0.9391081.7270113.496406e-08
0.9431881.7269153.636674e-08
0.9472851.726823.777552e-08
0.95141.7267253.919041e-08
0.9555331.726634.061146e-08
0.9596841.7265364.203868e-08
0.9638531.7264424.347209e-08
0.9680411.7263484.491174e-08
0.9722461.7262544.635764e-08
0.976471.7261614.780982e-08
0.9807121.7260674.926831e-08
0.9849721.7259745.073313e-08
0.9892511.7258825.220432e-08
0.9935491.7257895.368190e-08
0.9978651.7256975.516590e-08
11.7256515.590000e-08
1.00221.7256045.570613e-08
1.006551.7255125.532243e-08
1.010931.7254215.493706e-08
1.015321.7253295.455002e-08
1.019731.7252375.416130e-08
1.024161.7251465.377089e-08
1.028611.7250555.337878e-08
1.033081.7249645.298497e-08
1.037561.7248735.258945e-08
1.042071.7247825.219221e-08
1.04661.7246915.179325e-08
1.051151.72465.139255e-08
1.055711.724515.099011e-08
1.06031.7244195.058592e-08
1.06491.7243295.017998e-08
1.069531.7242394.977228e-08
1.074181.7241494.936280e-08
1.078841.7240584.895154e-08
1.083531.7239684.853850e-08
1.088241.7238784.812366e-08
1.092961.7237884.770702e-08
1.097711.7236984.728857e-08
1.102481.7236084.686830e-08
1.107271.7235184.644621e-08
1.112081.7234284.602228e-08
1.116911.7233384.559652e-08
1.121761.7232484.516890e-08
1.126641.7231594.473942e-08
1.131531.7230694.430808e-08
1.136451.7229794.387487e-08
1.141381.7228884.343977e-08
1.146341.7227984.300278e-08
1.151321.7227084.256389e-08
1.156321.7226184.212310e-08
1.161351.7225284.168039e-08
1.166391.7224374.123576e-08
1.171461.7223474.078920e-08
1.176551.7222574.034070e-08
1.181661.7221663.989025e-08
1.186791.7220753.943784e-08
1.191951.7219843.898347e-08
1.197131.7218943.852712e-08
1.21.7218433.827400e-08
1.202331.7218033.873953e-08
1.207551.7217113.978380e-08
1.21281.721624.083261e-08
1.218071.7215294.188598e-08
1.223361.7214374.294392e-08
1.228671.7213454.400646e-08
1.234011.7212534.507361e-08
1.239371.7211614.614541e-08
1.244751.7210694.722185e-08
1.250161.7209764.830297e-08
1.255591.7208844.938879e-08
1.261051.7207915.047933e-08
1.266531.7206985.157460e-08
1.272031.7206045.267464e-08
1.277551.7205115.377945e-08
1.28311.7204175.488906e-08
1.288681.7203235.600349e-08
1.294281.7202295.712276e-08
1.29991.7201345.824690e-08
1.305551.7200395.937591e-08
1.311221.7199446.050984e-08
1.316911.7198496.164869e-08
1.322641.7197536.279248e-08
1.328381.7196576.394125e-08
1.334151.7195616.509500e-08
1.339951.7194646.625377e-08
1.345771.7193676.741757e-08
1.351621.719276.858643e-08
1.357491.7191726.976037e-08
1.363381.7190747.093940e-08
1.369311.7189767.212356e-08
1.375261.7188777.331286e-08
1.381231.7187787.450733e-08
1.387231.7186797.570699e-08
1.393261.7185797.691186e-08
1.399311.7184787.812196e-08
1.41.7184677.826000e-08
1.405391.7183788.029280e-08
1.411491.7182778.259604e-08
1.417631.7181758.490929e-08
1.423781.7180738.723258e-08
1.429971.7179718.956597e-08
1.436181.7178689.190949e-08
1.442421.7177659.426319e-08
1.448691.7176619.662712e-08
1.454981.7175579.900132e-08
1.46131.7174521.013858e-07
1.467651.7173471.037807e-07
1.474031.7172411.061860e-07
1.480431.7171351.086017e-07
1.486861.7170281.110279e-07
1.493321.7169211.134647e-07
1.499811.7168131.159120e-07
1.506321.7167041.183700e-07
1.512871.7165951.208387e-07
1.519441.7164861.233180e-07
1.526041.7163761.258082e-07
1.532671.7162651.283092e-07
1.539331.7161541.308210e-07
1.546011.7160421.333437e-07
1.552731.7159291.358774e-07
1.559481.7158161.384221e-07
1.566251.7157021.409779e-07
1.573051.7155881.435448e-07
1.579891.7154731.461228e-07
1.586751.7153571.487120e-07
1.593641.715241.513125e-07
1.61.7151331.537100e-07
1.600571.7151231.542200e-07
1.607521.7150051.604636e-07
1.61451.7148871.667344e-07
1.621521.7147671.730324e-07
1.628561.7146471.793578e-07
1.635641.7145271.857107e-07
1.642741.7144051.920912e-07
1.649881.7142831.984993e-07
1.657051.714162.049354e-07
1.664251.7140362.113994e-07
1.671481.7139112.178914e-07
1.678741.7137862.244117e-07
1.686031.713662.309603e-07
1.693351.7135322.375373e-07
1.700711.7134042.441429e-07
1.70811.7132762.507772e-07
1.715521.7131462.574404e-07
1.722971.7130152.641325e-07
1.730461.7128842.708536e-07
1.737971.7127522.776039e-07
1.745521.7126182.843836e-07
1.753111.7124842.911927e-07
1.760721.7123492.980314e-07
1.768371.7122133.048999e-07
1.776051.7120763.117981e-07
1.783771.7119383.187263e-07
1.791521.7117993.256847e-07
1.79931.7116593.326732e-07
1.81.7116463.333000e-07
1.807121.7115183.481134e-07
1.814971.7113763.644499e-07
1.822851.7112333.808575e-07
1.830771.7110883.973363e-07
1.838731.7109434.138868e-07
1.846711.7107974.305091e-07
1.854741.7106494.472036e-07
1.862791.7105014.639707e-07
1.870891.7103514.808106e-07
1.879011.71024.977237e-07
1.887181.7100485.147102e-07
1.895371.7098955.317705e-07
1.903611.7097415.489050e-07
1.911881.7095855.661139e-07
1.920181.7094295.833975e-07
1.928531.7092716.007562e-07
1.93691.7091126.181904e-07
1.945321.7089516.357002e-07
1.953771.708796.532862e-07
1.962261.7086276.709485e-07
1.970781.7084626.886876e-07
1.979341.7082977.065037e-07
1.987941.708137.243972e-07
1.996581.7079617.423685e-07
21.7078947.494900e-07
2.005251.7077927.885735e-07
2.013961.7076218.534076e-07
2.022711.7074489.185234e-07
2.03151.7072749.839221e-07
2.040321.7070991.049605e-06
2.049191.7069221.115573e-06
2.058091.7067441.181828e-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
—