Optical constants

Refractive index of Q-LAK53S (HIKARI)

Q-LAK53S: 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
1.69343
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.8677
Permittivity ε2
6.34745e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
53.301
Chromatic dispersion dn/dλ
-0.0670712 µm⁻¹
Group index ng
1.73284
Group velocity dispersion
118.885 fs²/mm
Dispersion parameter D
-648.578 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

# Q-LAK53S (HIKARI): Q-LAK53S
hikari_q_lak53s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LAK53S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_lak53s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_lak53s.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=2.81181751−0.0118938304⁢λ2.0−0.000165919133⁢λ4.0+0.0199255052⁢λ−2.0+0.000237580562⁢λ−4.0+1.29438052×10-5⁢λ−6.0−1.59492635×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.81181751
C2-0.0118938304
C32.0
C4-0.000165919133
C54.0
C60.0199255052
C7-2.0
C80.000237580562
C9-4.0
C101.29438052e-05
C11-6.0
C12-1.59492635e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.78365e-06 1.10836e-08 1.54696e-12 5.96778e-07 5.26064e-10 0.184087
nd
1.693430
Vd
53.300774
density
value: 3660
thermal expansion
value: 6.7e-06, temperature range: 243 343
dPgF
-0.0074
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.42e-06 K⁻¹ at 633 nm, dn/dT = 1.69e-06 K⁻¹ at 1310 nm, dn/dT = 1.63e-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
Q-LAK53S (HIKARI), Q-LAK53S: n and k versus wavelength
λ (µm)nk
0.3650151.7257262.200185e-07
0.3666011.7252462.040060e-07
0.3681931.724771.879240e-07
0.3697931.72431.717720e-07
0.371.7242391.696800e-07
0.3713991.7238341.614508e-07
0.3730131.7233741.519621e-07
0.3746331.7229181.424322e-07
0.3762611.7224671.328609e-07
0.3778951.7220211.232480e-07
0.3795371.7215791.135934e-07
0.381.7214561.108700e-07
0.3811861.7211421.066634e-07
0.3828421.720711.007886e-07
0.3845051.7202829.488822e-08
0.3861751.7198588.896221e-08
0.3878531.7194398.301047e-08
0.3895381.7190247.703286e-08
0.391.7189127.539300e-08
0.391231.7186147.363015e-08
0.392931.7182077.119429e-08
0.3946371.7178056.874785e-08
0.3963511.7174076.629078e-08
0.3980731.7170136.382304e-08
0.3998021.7166236.134457e-08
0.41.7165796.106100e-08
0.4015391.7162375.998841e-08
0.4032831.7158545.877267e-08
0.4050351.7154765.755164e-08
0.4067951.7151015.632531e-08
0.4085621.7147315.509365e-08
0.4103371.7143645.385664e-08
0.412121.7145.261426e-08
0.413911.713645.136648e-08
0.4157081.7132845.011328e-08
0.4175141.7129314.885463e-08
0.4193281.7125824.759052e-08
0.421.7124544.712200e-08
0.4211491.7122374.663965e-08
0.4229791.7118944.587187e-08
0.4248171.7115554.510075e-08
0.4266621.711224.432629e-08
0.4285161.7108874.354846e-08
0.4303771.7105584.276725e-08
0.4322471.7102334.198265e-08
0.4341251.709914.119464e-08
0.436011.709594.040320e-08
0.4379051.7092743.960833e-08
0.4398071.7089613.881001e-08
0.441.7089293.872900e-08
0.4417181.708653.792800e-08
0.4436371.7083433.703311e-08
0.4455641.7080393.613433e-08
0.4474991.7077373.523165e-08
0.4494431.7074393.432504e-08
0.4513961.7071433.341450e-08
0.4533571.706853.250000e-08
0.4553261.706563.158153e-08
0.4573041.7062733.065907e-08
0.4592911.7059882.973260e-08
0.461.7058872.940200e-08
0.4612861.7057062.874236e-08
0.463291.7054272.771474e-08
0.4653031.705152.668266e-08
0.4673241.7048762.564609e-08
0.4693541.7046052.460502e-08
0.4713931.7043362.355943e-08
0.4734411.704072.250930e-08
0.4754981.7038062.145460e-08
0.4775641.7035442.039532e-08
0.4796381.7032851.933144e-08
0.481.703241.914600e-08
0.4817221.7030291.887056e-08
0.4838151.7027741.853583e-08
0.4859171.7025221.819965e-08
0.4880271.7022731.786200e-08
0.4901481.7020251.752289e-08
0.4922771.701781.718231e-08
0.4944151.7015381.684025e-08
0.4965631.7012971.649670e-08
0.4987211.7010591.615165e-08
0.51.7009191.594700e-08
0.5008871.7008221.597530e-08
0.5030631.7005881.604471e-08
0.5052481.7003561.611443e-08
0.5074431.7001261.618444e-08
0.5096481.6998991.625477e-08
0.5118621.6996731.632539e-08
0.5140861.6994491.639633e-08
0.5163191.6992271.646757e-08
0.5185621.6990071.653912e-08
0.5208151.698791.661099e-08
0.5230771.6985741.668316e-08
0.5253491.698361.675565e-08
0.5276321.6981471.682845e-08
0.5299241.6979371.690157e-08
0.5322261.6977291.697501e-08
0.5345381.6975221.704877e-08
0.536861.6973171.712284e-08
0.5391931.6971141.719724e-08
0.5415351.6969131.727196e-08
0.5438871.6967141.734701e-08
0.546251.6965161.742238e-08
0.5486231.696321.749808e-08
0.551.6962071.754200e-08
0.5510071.6961251.757411e-08
0.55341.6959331.765047e-08
0.5558041.6957421.772716e-08
0.5582191.6955521.780419e-08
0.5606441.6953641.788154e-08
0.563081.6951781.795924e-08
0.5655261.6949931.803727e-08
0.5679821.694811.811564e-08
0.570451.6946291.819435e-08
0.5729281.6944481.827341e-08
0.5754171.694271.835280e-08
0.5779171.6940931.843255e-08
0.5804271.6939171.851263e-08
0.5829491.6937431.859307e-08
0.5854811.693571.867386e-08
0.5880251.6933991.875499e-08
0.5905791.6932291.883648e-08
0.5931451.6930611.891832e-08
0.5957221.6928931.900052e-08
0.598311.6927281.908308e-08
0.61.692621.913700e-08
0.6009091.6925631.926045e-08
0.6035191.69241.961500e-08
0.6061411.6922381.997110e-08
0.6087741.6920782.032874e-08
0.6114191.6919182.068794e-08
0.6140751.6917612.104870e-08
0.6167431.6916042.141102e-08
0.6194221.6914482.177492e-08
0.6221131.6912942.214040e-08
0.6248161.6911412.250747e-08
0.627531.6909892.287613e-08
0.6302561.6908382.324640e-08
0.6329941.6906892.361827e-08
0.6357441.6905412.399176e-08
0.6385061.6903932.436687e-08
0.641281.6902472.474361e-08
0.6440661.6901022.512199e-08
0.6468641.6899582.550201e-08
0.6496741.6898162.588368e-08
0.651.6897992.592800e-08
0.6524961.6896742.602754e-08
0.6553311.6895332.614058e-08
0.6581781.6893942.625412e-08
0.6610371.6892552.636815e-08
0.6639081.6891182.648267e-08
0.6667931.6889812.659769e-08
0.6696891.6888462.671321e-08
0.6725991.6887112.682923e-08
0.6755211.6885772.694576e-08
0.6784551.6884452.706279e-08
0.6814031.6883132.718033e-08
0.6843631.6881832.729839e-08
0.6873361.6880532.741695e-08
0.6903221.6879242.753603e-08
0.6933211.6877962.765563e-08
0.6963331.6876692.777574e-08
0.6993581.6875432.789638e-08
0.71.6875162.792200e-08
0.7023961.6874172.832444e-08
0.7054471.6872932.883701e-08
0.7085121.6871692.935181e-08
0.711591.6870472.986884e-08
0.7146811.6869253.038812e-08
0.7177861.6868043.090965e-08
0.7209041.6866843.143345e-08
0.7240361.6865643.195953e-08
0.7271811.6864453.248789e-08
0.730341.6863273.301855e-08
0.7335131.686213.355151e-08
0.73671.6860943.408679e-08
0.73991.6859783.462439e-08
0.7431141.6858643.516433e-08
0.7463421.6857493.570661e-08
0.7495851.6856363.625125e-08
0.7528411.6855233.679825e-08
0.7561121.6854113.734764e-08
0.7593961.68533.789940e-08
0.7626951.6851893.845357e-08
0.7660091.6850793.901014e-08
0.7693361.684973.956913e-08
0.7726791.6848614.013055e-08
0.7760351.6847534.069441e-08
0.7794071.6846464.126072e-08
0.7827931.6845394.182948e-08
0.7861931.6844334.240072e-08
0.7896091.6843284.297444e-08
0.7930391.6842234.355066e-08
0.7964841.6841184.412937e-08
0.7999441.6840154.471060e-08
0.81.6840134.472000e-08
0.8034191.6839114.392668e-08
0.8069091.6838094.311687e-08
0.8104151.6837074.230355e-08
0.8139351.6836054.148669e-08
0.8174711.6835044.066629e-08
0.8210231.6834043.984232e-08
0.8245891.6833043.901477e-08
0.8281721.6832053.818362e-08
0.8317691.6831063.734887e-08
0.8353831.6830073.651049e-08
0.8390121.6829093.566846e-08
0.8426571.6828123.482278e-08
0.8463171.6827153.397343e-08
0.8499941.6826193.312038e-08
0.8536871.6825233.226363e-08
0.8573951.6824273.140316e-08
0.861121.6823323.053895e-08
0.8648611.6822372.967098e-08
0.8686181.6821432.879925e-08
0.8723911.6820492.792373e-08
0.8761811.6819562.704440e-08
0.8799881.6818632.616125e-08
0.8838111.681772.527427e-08
0.887651.6816782.438343e-08
0.8915061.6815862.348873e-08
0.8953791.6814952.259013e-08
0.8992691.6814032.168764e-08
0.91.6813862.151800e-08
0.9031751.6813132.184752e-08
0.9070991.6812222.225467e-08
0.911041.6811322.266360e-08
0.9149981.6810422.307429e-08
0.9189721.6809532.348678e-08
0.9229651.6808642.390105e-08
0.9269741.6807752.431712e-08
0.9310011.6806872.473500e-08
0.9350461.6805992.515470e-08
0.9391081.6805112.557622e-08
0.9431881.6804232.599957e-08
0.9472851.6803362.642476e-08
0.95141.6802492.685180e-08
0.9555331.6801622.728069e-08
0.9596841.6800762.771145e-08
0.9638531.6799892.814407e-08
0.9680411.6799032.857858e-08
0.9722461.6798172.901497e-08
0.976471.6797322.945326e-08
0.9807121.6796472.989346e-08
0.9849721.6795623.033556e-08
0.9892511.6794773.077959e-08
0.9935491.6793923.122554e-08
0.9978651.6793073.167344e-08
11.6792663.189500e-08
1.00221.6792233.164927e-08
1.006551.6791393.116293e-08
1.010931.6790553.067448e-08
1.015321.6789713.018391e-08
1.019731.6788882.969120e-08
1.024161.6788042.919636e-08
1.028611.6787212.869937e-08
1.033081.6786382.820021e-08
1.037561.6785542.769889e-08
1.042071.6784722.719539e-08
1.04661.6783892.668971e-08
1.051151.6783062.618182e-08
1.055711.6782232.567173e-08
1.06031.6781412.515943e-08
1.06491.6780592.464489e-08
1.069531.6779762.412813e-08
1.074181.6778942.360912e-08
1.078841.6778122.308785e-08
1.083531.677732.256432e-08
1.088241.6776482.203851e-08
1.092961.6775662.151042e-08
1.097711.6774842.098004e-08
1.102481.6774022.044735e-08
1.107271.677321.991235e-08
1.112081.6772381.937503e-08
1.116911.6771561.883537e-08
1.121761.6770751.829336e-08
1.126641.6769931.774900e-08
1.131531.6769111.720228e-08
1.136451.6768291.665318e-08
1.141381.6767471.610169e-08
1.146341.6766661.554781e-08
1.151321.6765841.499153e-08
1.156321.6765021.443282e-08
1.161351.676421.387169e-08
1.166391.6763381.330813e-08
1.171461.6762561.274211e-08
1.176551.6761741.217364e-08
1.181661.6760921.160269e-08
1.186791.6760091.102927e-08
1.191951.6759271.045335e-08
1.197131.6758459.874931e-09
1.21.6757999.554100e-09
1.202331.6757629.832571e-09
1.207551.675681.045724e-08
1.21281.6755971.108462e-08
1.218071.6755141.171472e-08
1.223361.6754311.234756e-08
1.228671.6753481.298315e-08
1.234011.6752651.362151e-08
1.239371.6751811.426263e-08
1.244751.6750981.490654e-08
1.250161.6750141.555325e-08
1.255591.674931.620277e-08
1.261051.6748471.685511e-08
1.266531.6747621.751028e-08
1.272031.6746781.816830e-08
1.277551.6745931.882918e-08
1.28311.6745091.949293e-08
1.288681.6744242.015956e-08
1.294281.6743392.082909e-08
1.29991.6742532.150152e-08
1.305551.6741682.217688e-08
1.311221.6740822.285517e-08
1.316911.6739962.353641e-08
1.322641.673912.422061e-08
1.328381.6738232.490778e-08
1.334151.6737362.559794e-08
1.339951.6736492.629109e-08
1.345771.6735622.698726e-08
1.351621.6734742.768645e-08
1.357491.6733862.838867e-08
1.363381.6732982.909395e-08
1.369311.6732092.980229e-08
1.375261.6731213.051371e-08
1.381231.6730313.122822e-08
1.387231.6729423.194583e-08
1.393261.6728523.266656e-08
1.399311.6727623.339043e-08
1.41.6727523.347300e-08
1.405391.6726713.463559e-08
1.411491.672583.595285e-08
1.417631.6724893.727583e-08
1.423781.6723983.860455e-08
1.429971.6723063.993905e-08
1.436181.6722134.127935e-08
1.442421.672124.262547e-08
1.448691.6720274.397744e-08
1.454981.6719344.533528e-08
1.46131.6718394.669901e-08
1.467651.6717454.806868e-08
1.474031.671654.944429e-08
1.480431.6715555.082588e-08
1.486861.6714595.221347e-08
1.493321.6713635.360709e-08
1.499811.6712665.500676e-08
1.506321.6711695.641252e-08
1.512871.6710715.782438e-08
1.519441.6709735.924237e-08
1.526041.6708746.066653e-08
1.532671.6707756.209687e-08
1.539331.6706756.353342e-08
1.546011.6705756.497622e-08
1.552731.6704746.642528e-08
1.559481.6703736.788064e-08
1.566251.6702716.934232e-08
1.573051.6701687.081035e-08
1.579891.6700657.228476e-08
1.586751.6699627.376558e-08
1.593641.6698577.525282e-08
1.61.6697617.662400e-08
1.600571.6697537.702116e-08
1.607521.6696478.188377e-08
1.61451.6695418.676751e-08
1.621521.6694349.167246e-08
1.628561.6693279.659872e-08
1.635641.6692191.015464e-07
1.642741.669111.065155e-07
1.649881.6690011.115063e-07
1.657051.6688911.165187e-07
1.664251.668781.215529e-07
1.671481.6686691.266090e-07
1.678741.6685571.316870e-07
1.686031.6684441.367871e-07
1.693351.668331.419093e-07
1.700711.6682161.470538e-07
1.70811.6681011.522207e-07
1.715521.6679851.574100e-07
1.722971.6678691.626218e-07
1.730461.6677511.678563e-07
1.737971.6676331.731135e-07
1.745521.6675141.783936e-07
1.753111.6673951.836966e-07
1.760721.6672741.890226e-07
1.768371.6671531.943718e-07
1.776051.667031.997442e-07
1.783771.6669072.051399e-07
1.791521.6667832.105591e-07
1.79931.6666582.160018e-07
1.81.6666472.164900e-07
1.807121.6665332.260388e-07
1.814971.6664062.365695e-07
1.822851.6662782.471460e-07
1.830771.666152.577684e-07
1.838731.666022.684370e-07
1.846711.665892.791519e-07
1.854741.6657582.899134e-07
1.862791.6656263.007216e-07
1.870891.6654933.115767e-07
1.879011.6653583.224791e-07
1.887181.6652233.334287e-07
1.895371.6650873.444260e-07
1.903611.6649493.554710e-07
1.911881.6648113.665640e-07
1.920181.6646713.777052e-07
1.928531.664533.888948e-07
1.93691.6643894.001330e-07
1.945321.6642464.114200e-07
1.953771.6641024.227561e-07
1.962261.6639574.341414e-07
1.970781.663814.455762e-07
1.979341.6636634.570606e-07
1.987941.6635144.685950e-07
1.996581.6633654.801794e-07
21.6633054.847700e-07
2.005251.6632145.103712e-07
2.013961.6630615.528400e-07
2.022711.6629085.954933e-07
2.03151.6627536.383318e-07
2.040321.6625976.813565e-07
2.049191.662447.245681e-07
2.058091.6622817.679675e-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
—