Optical constants

Refractive index of E-LAK10 (HIKARI)

E-LAK10: 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
1.71999
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.95837
Permittivity ε2
1.60933e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
50.228
Chromatic dispersion dn/dλ
-0.0736815 µm⁻¹
Group index ng
1.76329
Group velocity dispersion
133.141 fs²/mm
Dispersion parameter D
-726.352 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-LAK10 (HIKARI): E-LAK10
hikari_e_lak10 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak10.range_nm)  # (400, 700) nm
eps = hikari_e_lak10.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=2.89528358−0.0117686807⁢λ2.0+0.0222295765⁢λ−2.0+0.000269351264⁢λ−4.0+2.23005932×10-5⁢λ−6.0−4.3546434×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.89528358
C2-0.0117686807
C32.0
C40.0222295765
C5-2.0
C60.000269351264
C7-4.0
C82.23005932e-05
C9-6.0
C10-4.3546434e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.719995
Vd
50.228454
glass code
720502
glass status
preferred
density
value: 3740
thermal expansion
value: 8.2e-06, temperature range: 243 343
dPgF
-0.0065

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-LAK10 (HIKARI), E-LAK10: n and k versus wavelength
λ (µm)nk
0.41.7457488.712500e-08
0.4005611.7456078.619258e-08
0.4011241.7454678.525885e-08
0.4016871.7453278.432381e-08
0.402251.7451888.338746e-08
0.4028151.7450498.244979e-08
0.403381.7449118.151081e-08
0.4039461.7447738.057051e-08
0.4045131.7446357.962889e-08
0.4050811.7444987.868594e-08
0.405651.7443627.774168e-08
0.4062191.7442257.679609e-08
0.4067891.744097.584917e-08
0.407361.7439557.490092e-08
0.4079321.743827.395134e-08
0.4085041.7436867.300043e-08
0.4090781.7435527.204819e-08
0.4096521.7434187.109461e-08
0.4102271.7432857.013969e-08
0.4108031.7431536.918343e-08
0.4113791.7430216.822582e-08
0.4119571.7428896.726688e-08
0.4125351.7427586.630658e-08
0.4131141.7426276.534494e-08
0.4136941.7424976.438195e-08
0.4142741.7423676.341761e-08
0.4148561.7422386.245192e-08
0.4154381.7421096.148487e-08
0.4160211.741986.051646e-08
0.4166051.7418525.954669e-08
0.417191.7417245.857556e-08
0.4177751.7415975.760307e-08
0.4183621.741475.662922e-08
0.4189491.7413445.565399e-08
0.4195371.7412185.467740e-08
0.421.7411195.390800e-08
0.4201261.7410925.383494e-08
0.4207151.7409675.349184e-08
0.4213061.7408425.314827e-08
0.4218971.7407185.280421e-08
0.4224891.7405945.245967e-08
0.4230821.740475.211465e-08
0.4236761.7403475.176914e-08
0.4242711.7402245.142315e-08
0.4248661.7401025.107667e-08
0.4254621.739985.072971e-08
0.426061.7398585.038225e-08
0.4266581.7397375.003432e-08
0.4272561.7396174.968589e-08
0.4278561.7394964.933697e-08
0.4284571.7393764.898757e-08
0.4290581.7392574.863767e-08
0.429661.7391384.828728e-08
0.4302631.7390194.793640e-08
0.4308671.73894.758503e-08
0.4314721.7387824.723317e-08
0.4320771.7386654.688081e-08
0.4326841.7385474.652795e-08
0.4332911.7384314.617461e-08
0.4338991.7383144.582076e-08
0.4345081.7381984.546642e-08
0.4351181.7380824.511158e-08
0.4357291.7379674.475625e-08
0.436341.7378524.440041e-08
0.4369531.7377374.404408e-08
0.4375661.7376234.368724e-08
0.438181.7375094.332991e-08
0.4387951.7373964.297207e-08
0.4394111.7372834.261373e-08
0.441.7371754.227100e-08
0.4400281.737174.224807e-08
0.4406451.7370584.173680e-08
0.4412641.7369464.122481e-08
0.4418831.7368344.071210e-08
0.4425031.7367234.019867e-08
0.4431241.7366123.968452e-08
0.4437461.7365013.916965e-08
0.4443691.7363913.865405e-08
0.4449931.7362813.813774e-08
0.4456171.7361713.762069e-08
0.4462431.7360623.710293e-08
0.4468691.7359533.658443e-08
0.4474961.7358453.606521e-08
0.4481241.7357373.554526e-08
0.4487531.7356293.502458e-08
0.4493831.7355213.450316e-08
0.4500141.7354143.398102e-08
0.4506451.7353083.345814e-08
0.4512781.7352013.293453e-08
0.4519111.7350953.241019e-08
0.4525461.7349893.188511e-08
0.4531811.7348843.135929e-08
0.4538171.7347793.083273e-08
0.4544541.7346743.030544e-08
0.4550921.734572.977740e-08
0.455731.7344662.924862e-08
0.456371.7343622.871911e-08
0.4570111.7342592.818884e-08
0.4576521.7341552.765784e-08
0.4582941.7340532.712609e-08
0.4589381.733952.659359e-08
0.4595821.7338482.606034e-08
0.461.7337822.571400e-08
0.4602271.7337462.559609e-08
0.4608731.7336452.526007e-08
0.4615191.7335442.492358e-08
0.4621671.7334432.458661e-08
0.4628161.7333422.424918e-08
0.4634651.7332422.391127e-08
0.4641161.7331422.357288e-08
0.4647671.7330432.323403e-08
0.465421.7329442.289469e-08
0.4660731.7328452.255488e-08
0.4667271.7327462.221459e-08
0.4673821.7326482.187383e-08
0.4680381.732552.153259e-08
0.4686951.7324522.119086e-08
0.4693531.7323542.084866e-08
0.4700121.7322572.050598e-08
0.4706711.7321612.016282e-08
0.4713321.7320641.981917e-08
0.4719931.7319681.947504e-08
0.4726561.7318721.913043e-08
0.4733191.7317761.878534e-08
0.4739841.7316811.843976e-08
0.4746491.7315861.809370e-08
0.4753151.7314911.774715e-08
0.4759821.7313971.740012e-08
0.476651.7313031.705259e-08
0.4773191.7312091.670458e-08
0.4779891.7311151.635609e-08
0.478661.7310221.600710e-08
0.4793321.7309291.565762e-08
0.481.7308371.531000e-08
0.4800051.7308371.530744e-08
0.4806781.7307441.492582e-08
0.4813531.7306521.454367e-08
0.4820281.730561.416097e-08
0.4827051.7304691.377774e-08
0.4833821.7303771.339397e-08
0.4840611.7302871.300967e-08
0.484741.7301961.262482e-08
0.4854211.7301051.223944e-08
0.4861021.7300151.185351e-08
0.4867841.7299251.146704e-08
0.4874671.7298361.108003e-08
0.4881521.7297461.069247e-08
0.4888371.7296571.030438e-08
0.4895231.7295699.915732e-09
0.490211.729489.526544e-09
0.4908981.7293929.136809e-09
0.4915871.7293048.746527e-09
0.4922771.7292168.355698e-09
0.4929681.7291297.964320e-09
0.493661.7290427.572392e-09
0.4943531.7289557.179915e-09
0.4950461.7288686.786886e-09
0.4957411.7287826.393306e-09
0.4964371.7286965.999174e-09
0.4971341.728615.604488e-09
0.4978321.7285245.209249e-09
0.498531.7284394.813455e-09
0.499231.7283544.417105e-09
0.4999311.7282694.020199e-09
0.51.7282613.980900e-09
0.5006321.7281853.985934e-09
0.5013351.72813.991529e-09
0.5020391.7280163.997131e-09
0.5027431.7279324.002741e-09
0.5034491.7278494.008360e-09
0.5041551.7277664.013986e-09
0.5048631.7276834.019619e-09
0.5055721.72764.025261e-09
0.5062811.7275174.030911e-09
0.5069921.7274354.036569e-09
0.5077031.7273534.042234e-09
0.5084161.7272714.047908e-09
0.509131.727194.053589e-09
0.5098441.7271084.059279e-09
0.510561.7270274.064976e-09
0.5112761.7269464.070682e-09
0.5119941.7268664.076395e-09
0.5127121.7267854.082117e-09
0.5134321.7267054.087846e-09
0.5141531.7266254.093584e-09
0.5148741.7265464.099329e-09
0.5155971.7264664.105083e-09
0.5163211.7263874.110845e-09
0.5170451.7263084.116614e-09
0.5177711.726234.122392e-09
0.5184981.7261514.128178e-09
0.5192251.7260734.133973e-09
0.5199541.7259954.139775e-09
0.5206841.7259174.145585e-09
0.5214151.725844.151404e-09
0.5221471.7257624.157231e-09
0.5228791.7256854.163066e-09
0.5236131.7256084.168909e-09
0.5243481.7255324.174760e-09
0.5250841.7254554.180620e-09
0.5258211.7253794.186487e-09
0.5265591.7253034.192363e-09
0.5272981.7252284.198248e-09
0.5280381.7251524.204140e-09
0.5287791.7250774.210041e-09
0.5295211.7250024.215950e-09
0.5302651.7249274.221867e-09
0.5310091.7248524.227793e-09
0.5317541.7247784.233727e-09
0.5325011.7247044.239669e-09
0.5332481.724634.245620e-09
0.5339961.7245564.251579e-09
0.5347461.7244824.257546e-09
0.5354961.7244094.263522e-09
0.5362481.7243364.269506e-09
0.5370011.7242634.275499e-09
0.5377541.724194.281500e-09
0.5385091.7241184.287509e-09
0.5392651.7240464.293527e-09
0.5400221.7239744.299553e-09
0.540781.7239024.305588e-09
0.5415391.723834.311631e-09
0.5422991.7237594.317682e-09
0.543061.7236874.323743e-09
0.5438221.7236164.329811e-09
0.5445851.7235454.335888e-09
0.545351.7234754.341974e-09
0.5461151.7234044.348068e-09
0.5468821.7233344.354171e-09
0.5476491.7232644.360282e-09
0.5484181.7231944.366402e-09
0.5491871.7231254.372531e-09
0.5499581.7230554.378668e-09
0.551.7230524.379000e-09
0.550731.7229864.384812e-09
0.5515031.7229174.390965e-09
0.5522771.7228484.397126e-09
0.5530521.722784.403297e-09
0.5538291.7227114.409475e-09
0.5546061.7226434.415663e-09
0.5553841.7225754.421859e-09
0.5561641.7225074.428064e-09
0.5569441.7224394.434277e-09
0.5577261.7223724.440499e-09
0.5585091.7223054.446730e-09
0.5592931.7222384.452970e-09
0.5600781.7221714.459219e-09
0.5608641.7221044.465476e-09
0.5616511.7220384.471742e-09
0.5624391.7219714.478017e-09
0.5632291.7219054.484300e-09
0.5640191.7218394.490593e-09
0.5648111.7217734.496894e-09
0.5656041.7217084.503204e-09
0.5663971.7216424.509523e-09
0.5671921.7215774.515851e-09
0.5679881.7215124.522188e-09
0.5687861.7214474.528533e-09
0.5695841.7213834.534888e-09
0.5703831.7213184.541251e-09
0.5711841.7212544.547624e-09
0.5719861.721194.554005e-09
0.5727881.7211264.560395e-09
0.5735921.7210624.566795e-09
0.5743971.7209984.573203e-09
0.5752041.7209354.579620e-09
0.5760111.7208724.586046e-09
0.5768191.7208094.592481e-09
0.5776291.7207464.598926e-09
0.578441.7206834.605379e-09
0.5792511.7206214.611841e-09
0.5800641.7205584.618313e-09
0.5808791.7204964.624793e-09
0.5816941.7204344.631283e-09
0.582511.7203724.637782e-09
0.5833281.720314.644290e-09
0.5841471.7202494.650807e-09
0.5849661.7201884.657333e-09
0.5857871.7201264.663868e-09
0.586611.7200654.670413e-09
0.5874331.7200054.676966e-09
0.5882571.7199444.683529e-09
0.5890831.7198834.690101e-09
0.589911.7198234.696682e-09
0.5907381.7197634.703273e-09
0.5915671.7197034.709873e-09
0.5923971.7196434.716482e-09
0.5932291.7195834.723100e-09
0.5940611.7195244.729728e-09
0.5948951.7194644.736365e-09
0.595731.7194054.743011e-09
0.5965661.7193464.749666e-09
0.5974031.7192874.756331e-09
0.5982421.7192294.763006e-09
0.5990821.719174.769689e-09
0.5999221.7191124.776382e-09
0.61.7191064.777000e-09
0.6007641.7190534.783086e-09
0.6016081.7189954.789800e-09
0.6024521.7189374.796523e-09
0.6032981.718884.803255e-09
0.6041441.7188224.809997e-09
0.6049921.7187644.816748e-09
0.6058411.7187074.823509e-09
0.6066921.718654.830279e-09
0.6075431.7185934.837059e-09
0.6083961.7185364.843848e-09
0.609251.7184794.850647e-09
0.6101051.7184234.857455e-09
0.6109611.7183664.864273e-09
0.6118191.718314.871100e-09
0.6126771.7182544.877937e-09
0.6135371.7181984.884784e-09
0.6143981.7181424.891640e-09
0.6152611.7180874.898506e-09
0.6161241.7180314.905381e-09
0.6169891.7179764.912266e-09
0.6178551.7179214.919161e-09
0.6187221.7178664.926066e-09
0.6195911.7178114.932980e-09
0.620461.7177564.939904e-09
0.6213311.7177014.946837e-09
0.6222031.7176474.953781e-09
0.6230761.7175924.960734e-09
0.6239511.7175384.967697e-09
0.6248271.7174844.974669e-09
0.6257041.717434.981652e-09
0.6265821.7173764.988644e-09
0.6274611.7173234.995646e-09
0.6283421.7172695.002658e-09
0.6292241.7172165.009679e-09
0.6301071.7171635.016711e-09
0.6309911.717115.023752e-09
0.6318771.7170575.030803e-09
0.6327641.7170045.037865e-09
0.6336521.7169515.044936e-09
0.6345411.7168995.052017e-09
0.6354321.7168465.059108e-09
0.6363241.7167945.066208e-09
0.6372171.7167425.073319e-09
0.6381111.716695.080440e-09
0.6390071.7166385.087571e-09
0.6399041.7165865.094712e-09
0.6408021.7165355.101863e-09
0.6417011.7164835.109024e-09
0.6426021.7164325.116194e-09
0.6435041.7163815.123375e-09
0.6444071.716335.130567e-09
0.6453111.7162795.137768e-09
0.6462171.7162285.144979e-09
0.6471241.7161775.152200e-09
0.6480321.7161275.159432e-09
0.6489421.7160765.166674e-09
0.6498521.7160265.173926e-09
0.651.7160185.175100e-09
0.6507651.7159765.181188e-09
0.6516781.7159265.188460e-09
0.6525931.7158765.195742e-09
0.6535091.7158265.203035e-09
0.6544261.7157765.210338e-09
0.6553441.7157275.217651e-09
0.6562641.7156775.224974e-09
0.6571851.7156285.232308e-09
0.6581081.7155795.239652e-09
0.6590311.715535.247006e-09
0.6599561.7154815.254371e-09
0.6608821.7154325.261746e-09
0.661811.7153835.269131e-09
0.6627391.7153355.276527e-09
0.6636691.7152865.283933e-09
0.6646011.7152385.291349e-09
0.6655331.715195.298776e-09
0.6664671.7151425.306213e-09
0.6674031.7150945.313661e-09
0.668341.7150465.321119e-09
0.6692781.7149985.328588e-09
0.6702171.7149515.336067e-09
0.6711581.7149035.343557e-09
0.67211.7148565.351057e-09
0.6730431.7148085.358567e-09
0.6739881.7147615.366089e-09
0.6749331.7147145.373620e-09
0.6758811.7146675.381163e-09
0.6768291.7146215.388716e-09
0.6777791.7145745.396279e-09
0.6787311.7145275.403853e-09
0.6796831.7144815.411438e-09
0.6806371.7144355.419033e-09
0.6815921.7143885.426639e-09
0.6825491.7143425.434256e-09
0.6835071.7142965.441884e-09
0.6844661.714255.449522e-09
0.6854271.7142045.457171e-09
0.6863891.7141595.464830e-09
0.6873521.7141135.472500e-09
0.6883171.7140685.480182e-09
0.6892831.7140225.487873e-09
0.6902511.7139775.495576e-09
0.6912191.7139325.503290e-09
0.692191.7138875.511014e-09
0.6931611.7138425.518749e-09
0.6941341.7137975.526495e-09
0.6951081.7137535.534252e-09
0.6960841.7137085.542020e-09
0.6970611.7136635.549798e-09
0.6980391.7136195.557588e-09
0.6990191.7135755.565389e-09
0.71.7135315.573200e-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
—