Optical constants

Refractive index of E-LAK7 (HIKARI)

E-LAK7: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.65159
Extinction coefficient k
3.97490e-08
Permittivity ε1
2.72777
Permittivity ε2
1.31298e-07
Absorption coefficient α
0.00850069 cm⁻¹
Penetration depth δ = λ/(2πk)
2.35275e+09 nm
Abbe number Vd
58.543
Chromatic dispersion dn/dλ
-0.0575293 µm⁻¹
Group index ng
1.6854
Group velocity dispersion
100.204 fs²/mm
Dispersion parameter D
-546.669 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

# E-LAK7 (HIKARI): E-LAK7
hikari_e_lak7 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak7.range_nm)  # (400, 700) nm
eps = hikari_e_lak7.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=2.68241693−0.0118445415⁢λ2.0+0.016242269⁢λ−2.0+0.000303298585⁢λ−4.0−8.32486246×10-6⁢λ−6.0+7.74390846×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.68241693
C2-0.0118445415
C32.0
C40.016242269
C5-2.0
C60.000303298585
C7-4.0
C8-8.32486246e-06
C9-6.0
C107.74390846e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.651597
Vd
58.543058
glass code
652585
glass status
preferred
density
value: 3300
thermal expansion
value: 8.1e-06, temperature range: 243 343
dPgF
-0.0039

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 408 wavelengths, the same grid as the API and the library
E-LAK7 (HIKARI), E-LAK7: n and k versus wavelength
λ (µm)nk
0.41.6712377.406600e-08
0.4005611.6711327.388233e-08
0.4011241.6710277.369841e-08
0.4016871.6709227.351423e-08
0.402251.6708187.332979e-08
0.4028151.6707147.314509e-08
0.403381.670617.296013e-08
0.4039461.6705077.277491e-08
0.4045131.6704047.258943e-08
0.4050811.6703017.240370e-08
0.405651.6701997.221770e-08
0.4062191.6700977.203144e-08
0.4067891.6699957.184492e-08
0.407361.6698937.165813e-08
0.4079321.6697927.147109e-08
0.4085041.6696927.128378e-08
0.4090781.6695917.109621e-08
0.4096521.6694917.090837e-08
0.4102271.6693917.072028e-08
0.4108031.6692927.053191e-08
0.4113791.6691937.034329e-08
0.4119571.6690947.015440e-08
0.4125351.6689966.996524e-08
0.4131141.6688976.977582e-08
0.4136941.66886.958613e-08
0.4142741.6687026.939618e-08
0.4148561.6686056.920596e-08
0.4154381.6685086.901547e-08
0.4160211.6684116.882472e-08
0.4166051.6683156.863370e-08
0.417191.6682196.844240e-08
0.4177751.6681236.825085e-08
0.4183621.6680286.805902e-08
0.4189491.6679326.786692e-08
0.4195371.6678386.767456e-08
0.421.6677636.752300e-08
0.4201261.6677436.749836e-08
0.4207151.6676496.738267e-08
0.4213061.6675556.726682e-08
0.4218971.6674616.715080e-08
0.4224891.6673686.703462e-08
0.4230821.6672756.691828e-08
0.4236761.6671826.680178e-08
0.4242711.667096.668511e-08
0.4248661.6669976.656827e-08
0.4254621.6669056.645128e-08
0.426061.6668146.633412e-08
0.4266581.6667236.621679e-08
0.4272561.6666316.609930e-08
0.4278561.6665416.598165e-08
0.4284571.666456.586383e-08
0.4290581.666366.574584e-08
0.429661.666276.562769e-08
0.4302631.666186.550938e-08
0.4308671.6660916.539089e-08
0.4314721.6660026.527224e-08
0.4320771.6659136.515343e-08
0.4326841.6658256.503445e-08
0.4332911.6657366.491530e-08
0.4338991.6656486.479598e-08
0.4345081.6655616.467650e-08
0.4351181.6654736.455685e-08
0.4357291.6653866.443703e-08
0.436341.6652996.431704e-08
0.4369531.6652126.419688e-08
0.4375661.6651266.407656e-08
0.438181.665046.395606e-08
0.4387951.6649546.383540e-08
0.4394111.6648696.371457e-08
0.441.6647876.359900e-08
0.4400281.6647836.358754e-08
0.4406451.6646986.333201e-08
0.4412641.6646136.307613e-08
0.4418831.6645296.281988e-08
0.4425031.6644456.256327e-08
0.4431241.664366.230631e-08
0.4437461.6642776.204898e-08
0.4443691.6641936.179129e-08
0.4449931.664116.153324e-08
0.4456171.6640276.127483e-08
0.4462431.6639446.101606e-08
0.4468691.6638626.075692e-08
0.4474961.6637796.049742e-08
0.4481241.6636976.023755e-08
0.4487531.6636165.997732e-08
0.4493831.6635345.971672e-08
0.4500141.6634535.945576e-08
0.4506451.6633725.919443e-08
0.4512781.6632915.893274e-08
0.4519111.6632115.867068e-08
0.4525461.663135.840825e-08
0.4531811.663055.814545e-08
0.4538171.6629715.788228e-08
0.4544541.6628915.761875e-08
0.4550921.6628125.735484e-08
0.455731.6627335.709057e-08
0.456371.6626545.682592e-08
0.4570111.6625755.656090e-08
0.4576521.6624975.629551e-08
0.4582941.6624195.602974e-08
0.4589381.6623415.576361e-08
0.4595821.6622635.549710e-08
0.461.6622135.532400e-08
0.4602271.6621865.530734e-08
0.4608731.6621085.525986e-08
0.4615191.6620315.521232e-08
0.4621671.6619555.516471e-08
0.4628161.6618785.511703e-08
0.4634651.6618025.506929e-08
0.4641161.6617265.502148e-08
0.4647671.661655.497360e-08
0.465421.6615745.492565e-08
0.4660731.6614995.487764e-08
0.4667271.6614245.482956e-08
0.4673821.6613495.478142e-08
0.4680381.6612745.473320e-08
0.4686951.66125.468492e-08
0.4693531.6611265.463657e-08
0.4700121.6610525.458815e-08
0.4706711.6609785.453966e-08
0.4713321.6609045.449111e-08
0.4719931.6608315.444249e-08
0.4726561.6607585.439380e-08
0.4733191.6606855.434504e-08
0.4739841.6606125.429621e-08
0.4746491.6605395.424731e-08
0.4753151.6604675.419835e-08
0.4759821.6603955.414932e-08
0.476651.6603235.410021e-08
0.4773191.6602515.405104e-08
0.4779891.660185.400180e-08
0.478661.6601095.395249e-08
0.4793321.6600385.390312e-08
0.481.6599675.385400e-08
0.4800051.6599675.385269e-08
0.4806781.6598965.365667e-08
0.4813531.6598265.346039e-08
0.4820281.6597565.326382e-08
0.4827051.6596865.306698e-08
0.4833821.6596165.286987e-08
0.4840611.6595465.267247e-08
0.484741.6594775.247480e-08
0.4854211.6594085.227686e-08
0.4861021.6593395.207863e-08
0.4867841.659275.188013e-08
0.4874671.6592015.168135e-08
0.4881521.6591335.148229e-08
0.4888371.6590655.128295e-08
0.4895231.6589975.108333e-08
0.490211.6589295.088343e-08
0.4908981.6588615.068325e-08
0.4915871.6587945.048278e-08
0.4922771.6587275.028204e-08
0.4929681.658665.008102e-08
0.493661.6585934.987971e-08
0.4943531.6585264.967812e-08
0.4950461.658464.947625e-08
0.4957411.6583944.927409e-08
0.4964371.6583284.907165e-08
0.4971341.6582624.886893e-08
0.4978321.6581964.866592e-08
0.498531.6581314.846263e-08
0.499231.6580654.825905e-08
0.4999311.6584.805519e-08
0.51.6579944.803500e-08
0.5006321.6579354.798382e-08
0.5013351.657874.792695e-08
0.5020391.6578064.787000e-08
0.5027431.6577424.781296e-08
0.5034491.6576774.775585e-08
0.5041551.6576134.769866e-08
0.5048631.657554.764139e-08
0.5055721.6574864.758403e-08
0.5062811.6574234.752660e-08
0.5069921.6573594.746909e-08
0.5077031.6572964.741149e-08
0.5084161.6572334.735381e-08
0.509131.6571714.729606e-08
0.5098441.6571084.723822e-08
0.510561.6570464.718030e-08
0.5112761.6569834.712230e-08
0.5119941.6569214.706422e-08
0.5127121.656864.700605e-08
0.5134321.6567984.694781e-08
0.5141531.6567364.688948e-08
0.5148741.6566754.683107e-08
0.5155971.6566144.677258e-08
0.5163211.6565534.671401e-08
0.5170451.6564924.665536e-08
0.5177711.6564324.659662e-08
0.5184981.6563714.653780e-08
0.5192251.6563114.647890e-08
0.5199541.6562514.641991e-08
0.5206841.6561914.636084e-08
0.5214151.6561314.630169e-08
0.5221471.6560714.624246e-08
0.5228791.6560124.618314e-08
0.5236131.6559534.612374e-08
0.5243481.6558934.606426e-08
0.5250841.6558344.600469e-08
0.5258211.6557764.594504e-08
0.5265591.6557174.588531e-08
0.5272981.6556594.582549e-08
0.5280381.65564.576559e-08
0.5287791.6555424.570560e-08
0.5295211.6554844.564553e-08
0.5302651.6554264.558538e-08
0.5310091.6553694.552514e-08
0.5317541.6553114.546482e-08
0.5325011.6552544.540441e-08
0.5332481.6551974.534391e-08
0.5339961.655144.528334e-08
0.5347461.6550834.522267e-08
0.5354961.6550264.516193e-08
0.5362481.654974.510109e-08
0.5370011.6549134.504017e-08
0.5377541.6548574.497917e-08
0.5385091.6548014.491808e-08
0.5392651.6547454.485690e-08
0.5400221.6546894.479564e-08
0.540781.6546344.473429e-08
0.5415391.6545784.467286e-08
0.5422991.6545234.461134e-08
0.543061.6544684.454974e-08
0.5438221.6544134.448804e-08
0.5445851.6543584.442626e-08
0.545351.6543034.436440e-08
0.5461151.6542494.430245e-08
0.5468821.6541944.424041e-08
0.5476491.654144.417828e-08
0.5484181.6540864.411607e-08
0.5491871.6540324.405376e-08
0.5499581.6539784.399138e-08
0.551.6539754.398800e-08
0.550731.6539244.390568e-08
0.5515031.6538714.381854e-08
0.5522771.6538174.373127e-08
0.5530521.6537644.364388e-08
0.5538291.6537114.355637e-08
0.5546061.6536584.346873e-08
0.5553841.6536054.338098e-08
0.5561641.6535534.329310e-08
0.5569441.65354.320509e-08
0.5577261.6534484.311696e-08
0.5585091.6533964.302871e-08
0.5592931.6533434.294034e-08
0.5600781.6532914.285184e-08
0.5608641.653244.276322e-08
0.5616511.6531884.267447e-08
0.5624391.6531364.258560e-08
0.5632291.6530854.249660e-08
0.5640191.6530344.240748e-08
0.5648111.6529834.231823e-08
0.5656041.6529324.222886e-08
0.5663971.6528814.213936e-08
0.5671921.652834.204974e-08
0.5679881.6527794.195999e-08
0.5687861.6527294.187011e-08
0.5695841.6526794.178011e-08
0.5703831.6526284.168998e-08
0.5711841.6525784.159973e-08
0.5719861.6525284.150935e-08
0.5727881.6524794.141884e-08
0.5735921.6524294.132821e-08
0.5743971.6523794.123744e-08
0.5752041.652334.114656e-08
0.5760111.6522814.105554e-08
0.5768191.6522324.096439e-08
0.5776291.6521834.087312e-08
0.578441.6521344.078172e-08
0.5792511.6520854.069019e-08
0.5800641.6520364.059854e-08
0.5808791.6519884.050675e-08
0.5816941.651944.041483e-08
0.582511.6518914.032279e-08
0.5833281.6518434.023062e-08
0.5841471.6517954.013832e-08
0.5849661.6517474.004588e-08
0.5857871.65173.995332e-08
0.586611.6516523.986063e-08
0.5874331.6516043.976781e-08
0.5882571.6515573.967486e-08
0.5890831.651513.958178e-08
0.589911.6514633.948856e-08
0.5907381.6514163.939522e-08
0.5915671.6513693.930174e-08
0.5923971.6513223.920814e-08
0.5932291.6512753.911440e-08
0.5940611.6512293.902053e-08
0.5948951.6511823.892653e-08
0.595731.6511363.883240e-08
0.5965661.651093.873813e-08
0.5974031.6510443.864374e-08
0.5982421.6509983.854921e-08
0.5990821.6509523.845455e-08
0.5999221.6509063.835975e-08
0.61.6509023.835100e-08
0.6007641.6508613.824059e-08
0.6016081.6508153.811880e-08
0.6024521.650773.799684e-08
0.6032981.6507253.787471e-08
0.6041441.650683.775240e-08
0.6049921.6506353.762993e-08
0.6058411.650593.750728e-08
0.6066921.6505453.738446e-08
0.6075431.65053.726147e-08
0.6083961.6504563.713830e-08
0.609251.6504113.701496e-08
0.6101051.6503673.689145e-08
0.6109611.6503233.676777e-08
0.6118191.6502793.664391e-08
0.6126771.6502353.651988e-08
0.6135371.6501913.639568e-08
0.6143981.6501473.627130e-08
0.6152611.6501033.614674e-08
0.6161241.650063.602201e-08
0.6169891.6500163.589711e-08
0.6178551.6499733.577203e-08
0.6187221.649933.564677e-08
0.6195911.6498873.552134e-08
0.620461.6498443.539573e-08
0.6213311.6498013.526995e-08
0.6222031.6497583.514399e-08
0.6230761.6497153.501785e-08
0.6239511.6496733.489154e-08
0.6248271.649633.476505e-08
0.6257041.6495883.463838e-08
0.6265821.6495453.451154e-08
0.6274611.6495033.438451e-08
0.6283421.6494613.425731e-08
0.6292241.6494193.412993e-08
0.6301071.6493773.400237e-08
0.6309911.6493353.387463e-08
0.6318771.6492943.374671e-08
0.6327641.6492523.361861e-08
0.6336521.6492113.349034e-08
0.6345411.6491693.336188e-08
0.6354321.6491283.323324e-08
0.6363241.6490873.310442e-08
0.6372171.6490463.297542e-08
0.6381111.6490053.284624e-08
0.6390071.6489643.271688e-08
0.6399041.6489233.258734e-08
0.6408021.6488833.245761e-08
0.6417011.6488423.232770e-08
0.6426021.6488023.219762e-08
0.6435041.6487613.206734e-08
0.6444071.6487213.193689e-08
0.6453111.6486813.180625e-08
0.6462171.6486413.167543e-08
0.6471241.6486013.154442e-08
0.6480321.6485613.141324e-08
0.6489421.6485213.128186e-08
0.6498521.6484813.115031e-08
0.651.6484753.112900e-08
0.6507651.6484423.073821e-08
0.6516781.6484023.027137e-08
0.6525931.6483632.980388e-08
0.6535091.6483232.933573e-08
0.6544261.6482842.886693e-08
0.6553441.6482452.839746e-08
0.6562641.6482062.792734e-08
0.6571851.6481672.745656e-08
0.6581081.6481282.698512e-08
0.6590311.6480892.651301e-08
0.6599561.648052.604025e-08
0.6608821.6480122.556682e-08
0.661811.6479732.509272e-08
0.6627391.6479352.461796e-08
0.6636691.6478962.414253e-08
0.6646011.6478582.366644e-08
0.6655331.647822.318968e-08
0.6664671.6477822.271225e-08
0.6674031.6477442.223415e-08
0.668341.6477062.175537e-08
0.6692781.6476682.127593e-08
0.6702171.647632.079581e-08
0.6711581.6475932.031502e-08
0.67211.6475551.983355e-08
0.6730431.6475181.935141e-08
0.6739881.647481.886859e-08
0.6749331.6474431.838510e-08
0.6758811.6474061.790092e-08
0.6768291.6473691.741607e-08
0.6777791.6473311.693053e-08
0.6787311.6472941.644432e-08
0.6796831.6472581.595742e-08
0.6806371.6472211.546984e-08
0.6815921.6471841.498157e-08
0.6825491.6471471.449262e-08
0.6835071.6471111.400298e-08
0.6844661.6470741.351266e-08
0.6854271.6470381.302164e-08
0.6863891.6470021.252994e-08
0.6873521.6469651.203755e-08
0.6883171.6469291.154446e-08
0.6892831.6468931.105069e-08
0.6902511.6468571.055622e-08
0.6912191.6468211.006106e-08
0.692191.6467859.565199e-09
0.6931611.646759.068645e-09
0.6941341.6467148.571394e-09
0.6951081.6466788.073446e-09
0.6960841.6466437.574798e-09
0.6970611.6466077.075451e-09
0.6980391.6465726.575403e-09
0.6990191.6465376.074653e-09
0.71.6465015.573200e-09

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
—