Optical constants

Refractive index of Q-LAK13S (HIKARI)

Q-LAK13S: 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
1.6972
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.88048
Permittivity ε2
4.39930e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
53.289
Chromatic dispersion dn/dλ
-0.0674195 µm⁻¹
Group index ng
1.73681
Group velocity dispersion
120.039 fs²/mm
Dispersion parameter D
-654.876 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-LAK13S (HIKARI): Q-LAK13S
hikari_q_lak13s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-LAK13S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_lak13s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_lak13s.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=2.82409056−0.0116215301⁢λ2.0−0.000136188911⁢λ4.0+0.0199712048⁢λ−2.0+0.000284067118⁢λ−4.0+7.76179707×10-6⁢λ−6.0+6.22423374×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.82409056
C2-0.0116215301
C32.0
C4-0.000136188911
C54.0
C60.0199712048
C7-2.0
C80.000284067118
C9-4.0
C107.76179707e-06
C11-6.0
C126.22423374e-08
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.4813e-06 1.5502e-08 -1.8528e-12 8.5107e-07 7.0734e-10 0.17132
nd
1.697200
Vd
53.288704
glass status
preferred
density
value: 3740
thermal expansion
value: 7.1e-06, temperature range: 243 343
dPgF
-0.0067
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.64e-06 K⁻¹ at 633 nm, dn/dT = 1.62e-06 K⁻¹ at 1310 nm, dn/dT = 1.53e-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-LAK13S (HIKARI), Q-LAK13S: n and k versus wavelength
λ (µm)nk
0.3650151.7297151.367027e-07
0.3666011.7292311.285299e-07
0.3681931.7287531.203217e-07
0.3697931.7282791.120778e-07
0.371.7282181.110100e-07
0.3713991.727811.048893e-07
0.3730131.7273479.783197e-08
0.3746331.7268889.074394e-08
0.3762611.7264348.362512e-08
0.3778951.7259847.647537e-08
0.3795371.725546.929456e-08
0.381.7254166.726900e-08
0.3811861.72516.522826e-08
0.3828421.7246646.237819e-08
0.3845051.7242335.951574e-08
0.3861751.7238075.664085e-08
0.3878531.7233855.375347e-08
0.3895381.7229675.085355e-08
0.391.7228535.005800e-08
0.391231.7225544.862750e-08
0.392931.7221444.665087e-08
0.3946371.7217394.466565e-08
0.3963511.7213384.267181e-08
0.3980731.7209414.066931e-08
0.3998021.7205493.865811e-08
0.41.7205043.842800e-08
0.4015391.720163.805580e-08
0.4032831.7197753.763392e-08
0.4050351.7193943.721021e-08
0.4067951.7190173.678466e-08
0.4085621.7186433.635726e-08
0.4103371.7182733.592800e-08
0.412121.7179073.549688e-08
0.413911.7175453.506388e-08
0.4157081.7171863.462901e-08
0.4175141.7168313.419224e-08
0.4193281.716483.375358e-08
0.421.7163513.359100e-08
0.4211491.7161313.307405e-08
0.4229791.7157873.225120e-08
0.4248171.7154453.142478e-08
0.4266621.7151073.059476e-08
0.4285161.7147732.976114e-08
0.4303771.7144412.892390e-08
0.4322471.7141132.808302e-08
0.4341251.7137882.723849e-08
0.436011.7134662.639029e-08
0.4379051.7131482.553840e-08
0.4398071.7128322.468282e-08
0.441.71282.459600e-08
0.4417181.712522.437563e-08
0.4436371.712212.412943e-08
0.4455641.7119042.388217e-08
0.4474991.71162.363383e-08
0.4494431.7112992.338440e-08
0.4513961.7110022.313390e-08
0.4533571.7107072.288231e-08
0.4553261.7104152.262962e-08
0.4573041.7101252.237584e-08
0.4592911.7098392.212095e-08
0.461.7097372.203000e-08
0.4612861.7095552.184451e-08
0.463291.7092742.155554e-08
0.4653031.7089952.126532e-08
0.4673241.7087192.097383e-08
0.4693541.7084462.068108e-08
0.4713931.7081752.038706e-08
0.4734411.7079072.009176e-08
0.4754981.7076411.979518e-08
0.4775641.7073781.949731e-08
0.4796381.7071171.919815e-08
0.481.7070721.914600e-08
0.4817221.7068591.852684e-08
0.4838151.7066031.777441e-08
0.4859171.7063491.701870e-08
0.4880271.7060981.625972e-08
0.4901481.7058491.549743e-08
0.4922771.7056021.473184e-08
0.4944151.7053571.396292e-08
0.4965631.7051151.319065e-08
0.4987211.7048751.241504e-08
0.51.7047341.195500e-08
0.5008871.7046371.189836e-08
0.5030631.7044021.175941e-08
0.5052481.7041681.161986e-08
0.5074431.7039371.147971e-08
0.5096481.7037071.133895e-08
0.5118621.703481.119757e-08
0.5140861.7032551.105558e-08
0.5163191.7030321.091298e-08
0.5185621.702811.076975e-08
0.5208151.7025911.062591e-08
0.5230771.7023741.048143e-08
0.5253491.7021581.033633e-08
0.5276321.7019451.019060e-08
0.5299241.7017331.004424e-08
0.5322261.7015249.897240e-09
0.5345381.7013169.749603e-09
0.536861.701119.601324e-09
0.5391931.7009059.452400e-09
0.5415351.7007039.302830e-09
0.5438871.7005029.152610e-09
0.546251.7003039.001737e-09
0.5486231.7001068.850209e-09
0.551.6999938.762300e-09
0.5510071.699918.874693e-09
0.55341.6997179.141960e-09
0.5558041.6995249.410387e-09
0.5582191.6993349.679981e-09
0.5606441.6991459.950746e-09
0.563081.6989581.022269e-08
0.5655261.6987721.049581e-08
0.5679821.6985881.077012e-08
0.570451.6984051.104562e-08
0.5729281.6982241.132232e-08
0.5754171.6980441.160022e-08
0.5779171.6978661.187932e-08
0.5804271.697691.215964e-08
0.5829491.6975151.244118e-08
0.5854811.6973411.272394e-08
0.5880251.6971691.300793e-08
0.5905791.6969981.329315e-08
0.5931451.6968291.357961e-08
0.5957221.6966611.386732e-08
0.598311.6964941.415627e-08
0.61.6963861.434500e-08
0.6009091.6963291.436674e-08
0.6035191.6961651.442918e-08
0.6061411.6960021.449190e-08
0.6087741.6958411.455488e-08
0.6114191.6956811.461814e-08
0.6140751.6955221.468168e-08
0.6167431.6953651.474549e-08
0.6194221.6952091.480958e-08
0.6221131.6950541.487395e-08
0.6248161.69491.493859e-08
0.627531.6947481.500352e-08
0.6302561.6945961.506873e-08
0.6329941.6944461.513422e-08
0.6357441.6942971.520000e-08
0.6385061.6941491.526606e-08
0.641281.6940031.533241e-08
0.6440661.6938571.539905e-08
0.6468641.6937131.546598e-08
0.6496741.6935691.553319e-08
0.651.6935531.554100e-08
0.6524961.6934271.587971e-08
0.6553311.6932861.626436e-08
0.6581781.6931461.665069e-08
0.6610371.6930071.703869e-08
0.6639081.6928691.742838e-08
0.6667931.6927321.781976e-08
0.6696891.6925961.821285e-08
0.6725991.6924611.860764e-08
0.6755211.6923271.900414e-08
0.6784551.6921941.940237e-08
0.6814031.6920621.980233e-08
0.6843631.6919312.020402e-08
0.6873361.6918012.060746e-08
0.6903221.6916722.101266e-08
0.6933211.6915442.141961e-08
0.6963331.6914162.182833e-08
0.6993581.691292.223883e-08
0.71.6912632.232600e-08
0.7023961.6911642.286251e-08
0.7054471.691042.354583e-08
0.7085121.6909162.423213e-08
0.711591.6907932.492140e-08
0.7146811.6906712.561367e-08
0.7177861.6905492.630895e-08
0.7209041.6904292.700724e-08
0.7240361.6903092.770857e-08
0.7271811.690192.841295e-08
0.730341.6900722.912039e-08
0.7335131.6899552.983090e-08
0.73671.6898393.054449e-08
0.73991.6897233.126119e-08
0.7431141.6896083.198100e-08
0.7463421.6894943.270393e-08
0.7495851.689383.343001e-08
0.7528411.6892673.415924e-08
0.7561121.6891553.489164e-08
0.7593961.6890443.562723e-08
0.7626951.6889333.636600e-08
0.7660091.6888233.710799e-08
0.7693361.6887143.785320e-08
0.7726791.6886053.860165e-08
0.7760351.6884973.935335e-08
0.7794071.688394.010831e-08
0.7827931.6882834.086655e-08
0.7861931.6881774.162809e-08
0.7896091.6880724.239294e-08
0.7930391.6879674.316111e-08
0.7964841.6878634.393261e-08
0.7999441.6877594.470747e-08
0.81.6877584.472000e-08
0.8034191.6876564.392668e-08
0.8069091.6875544.311687e-08
0.8104151.6874524.230355e-08
0.8139351.687354.148669e-08
0.8174711.687254.066629e-08
0.8210231.6871493.984232e-08
0.8245891.687053.901477e-08
0.8281721.6869513.818362e-08
0.8317691.6868523.734887e-08
0.8353831.6867543.651049e-08
0.8390121.6866563.566846e-08
0.8426571.6865593.482278e-08
0.8463171.6864623.397343e-08
0.8499941.6863663.312038e-08
0.8536871.686273.226363e-08
0.8573951.6861753.140316e-08
0.861121.686083.053895e-08
0.8648611.6859862.967098e-08
0.8686181.6858922.879925e-08
0.8723911.6857982.792373e-08
0.8761811.6857052.704440e-08
0.8799881.6856132.616125e-08
0.8838111.685522.527427e-08
0.887651.6854292.438343e-08
0.8915061.6853372.348873e-08
0.8953791.6852462.259013e-08
0.8992691.6851552.168764e-08
0.91.6851382.151800e-08
0.9031751.6850652.159393e-08
0.9070991.6849752.168774e-08
0.911041.6848852.178196e-08
0.9149981.6847962.187659e-08
0.9189721.6847072.197163e-08
0.9229651.6846192.206709e-08
0.9269741.684532.216296e-08
0.9310011.6844422.225924e-08
0.9350461.6843552.235594e-08
0.9391081.6842682.245307e-08
0.9431881.684182.255061e-08
0.9472851.6840942.264858e-08
0.95141.6840072.274698e-08
0.9555331.6839212.284580e-08
0.9596841.6838352.294505e-08
0.9638531.683752.304474e-08
0.9680411.6836642.314485e-08
0.9722461.6835792.324540e-08
0.976471.6834942.334639e-08
0.9807121.6834092.344782e-08
0.9849721.6833252.354968e-08
0.9892511.6832412.365199e-08
0.9935491.6831572.375475e-08
0.9978651.6830732.385795e-08
11.6830322.390900e-08
1.00221.6829892.375111e-08
1.006551.6829062.343862e-08
1.010931.6828232.312477e-08
1.015321.682742.280956e-08
1.019731.6826572.249298e-08
1.024161.6825742.217502e-08
1.028611.6824922.185568e-08
1.033081.6824092.153496e-08
1.037561.6823272.121284e-08
1.042071.6822452.088932e-08
1.04661.6821632.056440e-08
1.051151.6820812.023806e-08
1.055711.6819991.991031e-08
1.06031.6819181.958113e-08
1.06491.6818361.925052e-08
1.069531.6817551.891848e-08
1.074181.6816741.858500e-08
1.078841.6815921.825006e-08
1.083531.6815111.791367e-08
1.088241.681431.757582e-08
1.092961.6813491.723651e-08
1.097711.6812681.689571e-08
1.102481.6811871.655344e-08
1.107271.6811071.620968e-08
1.112081.6810261.586443e-08
1.116911.6809451.551768e-08
1.121761.6808641.516942e-08
1.126641.6807841.481964e-08
1.131531.6807031.446835e-08
1.136451.6806221.411554e-08
1.141381.6805421.376119e-08
1.146341.6804611.340530e-08
1.151321.680381.304786e-08
1.156321.68031.268887e-08
1.161351.6802191.232832e-08
1.166391.6801381.196621e-08
1.171461.6800571.160252e-08
1.176551.6799761.123725e-08
1.181661.6798961.087040e-08
1.186791.6798151.050195e-08
1.191951.6797341.013190e-08
1.197131.6796529.760247e-09
1.21.6796089.554100e-09
1.202331.6795719.572633e-09
1.207551.679499.614207e-09
1.21281.6794099.655962e-09
1.218071.6793279.697898e-09
1.223361.6792469.740016e-09
1.228671.6791649.782317e-09
1.234011.6790829.824802e-09
1.239371.6799.867472e-09
1.244751.6789189.910327e-09
1.250161.6788369.953368e-09
1.255591.6787549.996596e-09
1.261051.6786711.004001e-08
1.266531.6785891.008362e-08
1.272031.6785061.012741e-08
1.277551.6784231.017139e-08
1.28311.678341.021557e-08
1.288681.6782571.025994e-08
1.294281.6781731.030450e-08
1.29991.678091.034925e-08
1.305551.6780061.039420e-08
1.311221.6779221.043934e-08
1.316911.6778371.048468e-08
1.322641.6777531.053022e-08
1.328381.6776681.057595e-08
1.334151.6775831.062188e-08
1.339951.6774981.066801e-08
1.345771.6774121.071435e-08
1.351621.6773261.076088e-08
1.357491.677241.080762e-08
1.363381.6771541.085456e-08
1.369311.6770671.090170e-08
1.375261.676981.094905e-08
1.381231.6768931.099660e-08
1.387231.6768061.104436e-08
1.393261.6767181.109233e-08
1.399311.676631.114050e-08
1.41.676621.114600e-08
1.405391.6765411.360110e-08
1.411491.6764521.638281e-08
1.417631.6763631.917661e-08
1.423781.6762742.198255e-08
1.429971.6761842.480067e-08
1.436181.6760942.763104e-08
1.442421.6760033.047370e-08
1.448691.6759123.332871e-08
1.454981.6758213.619613e-08
1.46131.6757293.907600e-08
1.467651.6756374.196838e-08
1.474031.6755454.487333e-08
1.480431.6754524.779089e-08
1.486861.6753585.072114e-08
1.493321.6752645.366411e-08
1.499811.675175.661986e-08
1.506321.6750755.958846e-08
1.512871.674986.256995e-08
1.519441.6748856.556440e-08
1.526041.6747896.857185e-08
1.532671.6746927.159237e-08
1.539331.6745957.462601e-08
1.546011.6744977.767283e-08
1.552731.6743998.073289e-08
1.559481.6743018.380624e-08
1.566251.6742018.689294e-08
1.573051.6741028.999305e-08
1.579891.6740029.310663e-08
1.586751.6739019.623373e-08
1.593641.67389.937442e-08
1.61.6737061.022700e-07
1.600571.6736981.026770e-07
1.607521.6735951.076600e-07
1.61451.6734921.126647e-07
1.621521.6733891.176912e-07
1.628561.6732841.227394e-07
1.635641.673181.278096e-07
1.642741.6730741.329018e-07
1.649881.6729681.380162e-07
1.657051.6728611.431527e-07
1.664251.6727541.483116e-07
1.671481.6726461.534929e-07
1.678741.6725371.586967e-07
1.686031.6724281.639231e-07
1.693351.6723181.691722e-07
1.700711.6722071.744441e-07
1.70811.6720951.797389e-07
1.715521.6719831.850568e-07
1.722971.671871.903977e-07
1.730461.6717571.957618e-07
1.737971.6716422.011492e-07
1.745521.6715272.065600e-07
1.753111.6714112.119944e-07
1.760721.6712942.174523e-07
1.768371.6711772.229340e-07
1.776051.6710592.284394e-07
1.783771.670942.339688e-07
1.791521.670822.395222e-07
1.79931.6706992.450998e-07
1.81.6706882.456000e-07
1.807121.6705772.576279e-07
1.814971.6704552.708925e-07
1.822851.6703312.842148e-07
1.830771.6702072.975950e-07
1.838731.6700823.110333e-07
1.846711.6699563.245300e-07
1.854741.6698293.380853e-07
1.862791.6697023.516995e-07
1.870891.6695733.653729e-07
1.879011.6694433.791056e-07
1.887181.6693123.928980e-07
1.895371.6691814.067503e-07
1.903611.6690484.206628e-07
1.911881.6689154.346358e-07
1.920181.668784.486694e-07
1.928531.6686444.627640e-07
1.93691.6685084.769198e-07
1.945321.668374.911372e-07
1.953771.6682315.054163e-07
1.962261.6680925.197574e-07
1.970781.6679515.341608e-07
1.979341.6678095.486268e-07
1.987941.6676655.631556e-07
1.996581.6675215.777476e-07
21.6674645.835300e-07
2.005251.6673766.135854e-07
2.013961.6672296.634431e-07
2.022711.6670827.135174e-07
2.03151.6669337.638092e-07
2.040321.6667838.143195e-07
2.049191.6666318.650493e-07
2.058091.6664799.159994e-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
—