Optical constants

Refractive index of E-LAK8 (HIKARI)

E-LAK8: 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
1.71299
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.93434
Permittivity ε2
1.60278e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
53.876
Chromatic dispersion dn/dλ
-0.0682838 µm⁻¹
Group index ng
1.75312
Group velocity dispersion
120.133 fs²/mm
Dispersion parameter D
-655.39 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-LAK8 (HIKARI): E-LAK8
hikari_e_lak8 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak8.range_nm)  # (400, 700) nm
eps = hikari_e_lak8.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=2.87864541−0.0142314931⁢λ2.0+0.0198025768⁢λ−2.0+0.00040117957⁢λ−4.0−6.68878586×10-6⁢λ−6.0+7.86869747×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.87864541
C2-0.0142314931
C32.0
C40.0198025768
C5-2.0
C60.00040117957
C7-4.0
C8-6.68878586e-06
C9-6.0
C107.86869747e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.712995
Vd
53.875777
glass code
713539
glass status
preferred
density
value: 3720
thermal expansion
value: 6.8e-06, temperature range: 243 343
dPgF
-0.0081

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-LAK8 (HIKARI), E-LAK8: n and k versus wavelength
λ (µm)nk
0.41.7364837.732600e-08
0.4005611.7363567.657337e-08
0.4011241.736237.581969e-08
0.4016871.7361047.506494e-08
0.402251.7359787.430914e-08
0.4028151.7358537.355228e-08
0.403381.7357287.279435e-08
0.4039461.7356047.203536e-08
0.4045131.735487.127531e-08
0.4050811.7353567.051419e-08
0.405651.7352336.975200e-08
0.4062191.735116.898874e-08
0.4067891.7349886.822441e-08
0.407361.7348666.745901e-08
0.4079321.7347456.669253e-08
0.4085041.7346236.592497e-08
0.4090781.7345036.515634e-08
0.4096521.7343826.438663e-08
0.4102271.7342626.361584e-08
0.4108031.7341436.284397e-08
0.4113791.7340246.207102e-08
0.4119571.7339056.129698e-08
0.4125351.7337866.052185e-08
0.4131141.7336685.974564e-08
0.4136941.7335515.896834e-08
0.4142741.7334335.818994e-08
0.4148561.7333165.741045e-08
0.4154381.73325.662987e-08
0.4160211.7330845.584820e-08
0.4166051.7329685.506542e-08
0.417191.7328535.428155e-08
0.4177751.7327375.349658e-08
0.4183621.7326235.271050e-08
0.4189491.7325095.192333e-08
0.4195371.7323955.113504e-08
0.421.7323055.051400e-08
0.4201261.7322815.041779e-08
0.4207151.7321684.996599e-08
0.4213061.7320554.951356e-08
0.4218971.7319424.906049e-08
0.4224891.731834.860679e-08
0.4230821.7317194.815245e-08
0.4236761.7316074.769748e-08
0.4242711.7314964.724186e-08
0.4248661.7313854.678561e-08
0.4254621.7312754.632871e-08
0.426061.7311654.587118e-08
0.4266581.7310554.541300e-08
0.4272561.7309464.495418e-08
0.4278561.7308374.449471e-08
0.4284571.7307284.403460e-08
0.4290581.730624.357385e-08
0.429661.7305124.311245e-08
0.4302631.7304054.265040e-08
0.4308671.7302974.218770e-08
0.4314721.730194.172435e-08
0.4320771.7300844.126035e-08
0.4326841.7299784.079570e-08
0.4332911.7298724.033040e-08
0.4338991.7297663.986445e-08
0.4345081.7296613.939784e-08
0.4351181.7295563.893058e-08
0.4357291.7294513.846266e-08
0.436341.7293473.799408e-08
0.4369531.7292433.752485e-08
0.4375661.729143.705495e-08
0.438181.7290363.658440e-08
0.4387951.7289333.611319e-08
0.4394111.7288313.564132e-08
0.441.7287333.519000e-08
0.4400281.7287293.517178e-08
0.4406451.7286273.476540e-08
0.4412641.7285253.435846e-08
0.4418831.7284233.395094e-08
0.4425031.7283223.354285e-08
0.4431241.7282223.313419e-08
0.4437461.7281213.272495e-08
0.4443691.7280213.231514e-08
0.4449931.7279213.190476e-08
0.4456171.7278223.149380e-08
0.4462431.7277233.108226e-08
0.4468691.7276243.067014e-08
0.4474961.7275253.025745e-08
0.4481241.7274272.984418e-08
0.4487531.7273292.943033e-08
0.4493831.7272322.901589e-08
0.4500141.7271342.860088e-08
0.4506451.7270372.818528e-08
0.4512781.726942.776910e-08
0.4519111.7268442.735233e-08
0.4525461.7267482.693498e-08
0.4531811.7266522.651704e-08
0.4538171.7265562.609852e-08
0.4544541.7264612.567941e-08
0.4550921.7263662.525971e-08
0.455731.7262712.483943e-08
0.456371.7261772.441855e-08
0.4570111.7260832.399708e-08
0.4576521.7259892.357502e-08
0.4582941.7258962.315237e-08
0.4589381.7258022.272912e-08
0.4595821.7257092.230528e-08
0.461.7256492.203000e-08
0.4602271.7256172.191039e-08
0.4608731.7255242.156952e-08
0.4615191.7254322.122818e-08
0.4621671.725342.088636e-08
0.4628161.7252492.054406e-08
0.4634651.7251582.020128e-08
0.4641161.7250671.985802e-08
0.4647671.7249761.951427e-08
0.465421.7248851.917004e-08
0.4660731.7247951.882533e-08
0.4667271.7247051.848014e-08
0.4673821.7246161.813446e-08
0.4680381.7245261.778830e-08
0.4686951.7244371.744165e-08
0.4693531.7243491.709452e-08
0.4700121.724261.674689e-08
0.4706711.7241721.639878e-08
0.4713321.7240841.605018e-08
0.4719931.7239961.570109e-08
0.4726561.7239091.535152e-08
0.4733191.7238211.500145e-08
0.4739841.7237341.465089e-08
0.4746491.7236481.429983e-08
0.4753151.7235611.394829e-08
0.4759821.7234751.359625e-08
0.476651.7233891.324372e-08
0.4773191.7233041.289069e-08
0.4779891.7232181.253717e-08
0.478661.7231331.218315e-08
0.4793321.7230481.182863e-08
0.481.7229641.147600e-08
0.4800051.7229631.147431e-08
0.4806781.7228791.122184e-08
0.4813531.7227951.096901e-08
0.4820281.7227111.071583e-08
0.4827051.7226271.046229e-08
0.4833821.7225441.020840e-08
0.4840611.7224619.954147e-09
0.484741.7223789.699541e-09
0.4854211.7222959.444577e-09
0.4861021.7222139.189256e-09
0.4867841.7221318.933576e-09
0.4874671.7220498.677537e-09
0.4881521.7219678.421139e-09
0.4888371.7218868.164382e-09
0.4895231.7218057.907263e-09
0.490211.7217247.649784e-09
0.4908981.7216437.391944e-09
0.4915871.7215637.133741e-09
0.4922771.7214826.875176e-09
0.4929681.7214026.616249e-09
0.493661.7213236.356957e-09
0.4943531.7212436.097302e-09
0.4950461.7211645.837283e-09
0.4957411.7210855.576899e-09
0.4964371.7210065.316149e-09
0.4971341.7209275.055033e-09
0.4978321.7208494.793550e-09
0.498531.7207714.531701e-09
0.499231.7206934.269484e-09
0.4999311.7206154.006899e-09
0.51.7206073.980900e-09
0.5006321.7205383.985934e-09
0.5013351.720463.991529e-09
0.5020391.7203833.997131e-09
0.5027431.7203074.002741e-09
0.5034491.720234.008360e-09
0.5041551.7201544.013986e-09
0.5048631.7200784.019619e-09
0.5055721.7200024.025261e-09
0.5062811.7199264.030911e-09
0.5069921.7198514.036569e-09
0.5077031.7197754.042234e-09
0.5084161.71974.047908e-09
0.509131.7196264.053589e-09
0.5098441.7195514.059279e-09
0.510561.7194774.064976e-09
0.5112761.7194034.070682e-09
0.5119941.7193294.076395e-09
0.5127121.7192554.082117e-09
0.5134321.7191814.087846e-09
0.5141531.7191084.093584e-09
0.5148741.7190354.099329e-09
0.5155971.7189624.105083e-09
0.5163211.7188894.110845e-09
0.5170451.7188174.116614e-09
0.5177711.7187454.122392e-09
0.5184981.7186734.128178e-09
0.5192251.7186014.133973e-09
0.5199541.7185294.139775e-09
0.5206841.7184584.145585e-09
0.5214151.7183874.151404e-09
0.5221471.7183164.157231e-09
0.5228791.7182454.163066e-09
0.5236131.7181744.168909e-09
0.5243481.7181044.174760e-09
0.5250841.7180344.180620e-09
0.5258211.7179634.186487e-09
0.5265591.7178944.192363e-09
0.5272981.7178244.198248e-09
0.5280381.7177554.204140e-09
0.5287791.7176854.210041e-09
0.5295211.7176164.215950e-09
0.5302651.7175484.221867e-09
0.5310091.7174794.227793e-09
0.5317541.717414.233727e-09
0.5325011.7173424.239669e-09
0.5332481.7172744.245620e-09
0.5339961.7172064.251579e-09
0.5347461.7171394.257546e-09
0.5354961.7170714.263522e-09
0.5362481.7170044.269506e-09
0.5370011.7169374.275499e-09
0.5377541.716874.281500e-09
0.5385091.7168034.287509e-09
0.5392651.7167364.293527e-09
0.5400221.716674.299553e-09
0.540781.7166044.305588e-09
0.5415391.7165384.311631e-09
0.5422991.7164724.317682e-09
0.543061.7164064.323743e-09
0.5438221.7163414.329811e-09
0.5445851.7162764.335888e-09
0.545351.7162114.341974e-09
0.5461151.7161464.348068e-09
0.5468821.7160814.354171e-09
0.5476491.7160174.360282e-09
0.5484181.7159524.366402e-09
0.5491871.7158884.372531e-09
0.5499581.7158244.378668e-09
0.551.715824.379000e-09
0.550731.715764.384812e-09
0.5515031.7156964.390965e-09
0.5522771.7156334.397126e-09
0.5530521.715574.403297e-09
0.5538291.7155074.409475e-09
0.5546061.7154444.415663e-09
0.5553841.7153814.421859e-09
0.5561641.7153184.428064e-09
0.5569441.7152564.434277e-09
0.5577261.7151934.440499e-09
0.5585091.7151314.446730e-09
0.5592931.7150694.452970e-09
0.5600781.7150084.459219e-09
0.5608641.7149464.465476e-09
0.5616511.7148854.471742e-09
0.5624391.7148234.478017e-09
0.5632291.7147624.484300e-09
0.5640191.7147014.490593e-09
0.5648111.7146414.496894e-09
0.5656041.714584.503204e-09
0.5663971.714524.509523e-09
0.5671921.7144594.515851e-09
0.5679881.7143994.522188e-09
0.5687861.7143394.528533e-09
0.5695841.7142794.534888e-09
0.5703831.714224.541251e-09
0.5711841.714164.547624e-09
0.5719861.7141014.554005e-09
0.5727881.7140424.560395e-09
0.5735921.7139834.566795e-09
0.5743971.7139244.573203e-09
0.5752041.7138654.579620e-09
0.5760111.7138074.586046e-09
0.5768191.7137494.592481e-09
0.5776291.713694.598926e-09
0.578441.7136324.605379e-09
0.5792511.7135744.611841e-09
0.5800641.7135174.618313e-09
0.5808791.7134594.624793e-09
0.5816941.7134024.631283e-09
0.582511.7133444.637782e-09
0.5833281.7132874.644290e-09
0.5841471.713234.650807e-09
0.5849661.7131734.657333e-09
0.5857871.7131174.663868e-09
0.586611.713064.670413e-09
0.5874331.7130044.676966e-09
0.5882571.7129484.683529e-09
0.5890831.7128924.690101e-09
0.589911.7128364.696682e-09
0.5907381.712784.703273e-09
0.5915671.7127244.709873e-09
0.5923971.7126694.716482e-09
0.5932291.7126134.723100e-09
0.5940611.7125584.729728e-09
0.5948951.7125034.736365e-09
0.595731.7124484.743011e-09
0.5965661.7123934.749666e-09
0.5974031.7123394.756331e-09
0.5982421.7122844.763006e-09
0.5990821.712234.769689e-09
0.5999221.7121764.776382e-09
0.61.7121714.777000e-09
0.6007641.7121224.783086e-09
0.6016081.7120684.789800e-09
0.6024521.7120144.796523e-09
0.6032981.711964.803255e-09
0.6041441.7119074.809997e-09
0.6049921.7118534.816748e-09
0.6058411.71184.823509e-09
0.6066921.7117474.830279e-09
0.6075431.7116944.837059e-09
0.6083961.7116414.843848e-09
0.609251.7115884.850647e-09
0.6101051.7115364.857455e-09
0.6109611.7114834.864273e-09
0.6118191.7114314.871100e-09
0.6126771.7113794.877937e-09
0.6135371.7113274.884784e-09
0.6143981.7112754.891640e-09
0.6152611.7112234.898506e-09
0.6161241.7111724.905381e-09
0.6169891.711124.912266e-09
0.6178551.7110694.919161e-09
0.6187221.7110174.926066e-09
0.6195911.7109664.932980e-09
0.620461.7109154.939904e-09
0.6213311.7108654.946837e-09
0.6222031.7108144.953781e-09
0.6230761.7107634.960734e-09
0.6239511.7107134.967697e-09
0.6248271.7106624.974669e-09
0.6257041.7106124.981652e-09
0.6265821.7105624.988644e-09
0.6274611.7105124.995646e-09
0.6283421.7104625.002658e-09
0.6292241.7104125.009679e-09
0.6301071.7103635.016711e-09
0.6309911.7103135.023752e-09
0.6318771.7102645.030803e-09
0.6327641.7102155.037865e-09
0.6336521.7101665.044936e-09
0.6345411.7101175.052017e-09
0.6354321.7100685.059108e-09
0.6363241.7100195.066208e-09
0.6372171.709975.073319e-09
0.6381111.7099225.080440e-09
0.6390071.7098735.087571e-09
0.6399041.7098255.094712e-09
0.6408021.7097775.101863e-09
0.6417011.7097295.109024e-09
0.6426021.7096815.116194e-09
0.6435041.7096335.123375e-09
0.6444071.7095855.130567e-09
0.6453111.7095385.137768e-09
0.6462171.709495.144979e-09
0.6471241.7094435.152200e-09
0.6480321.7093965.159432e-09
0.6489421.7093495.166674e-09
0.6498521.7093025.173926e-09
0.651.7092945.175100e-09
0.6507651.7092555.181188e-09
0.6516781.7092085.188460e-09
0.6525931.7091615.195742e-09
0.6535091.7091155.203035e-09
0.6544261.7090685.210338e-09
0.6553441.7090225.217651e-09
0.6562641.7089765.224974e-09
0.6571851.7089295.232308e-09
0.6581081.7088835.239652e-09
0.6590311.7088385.247006e-09
0.6599561.7087925.254371e-09
0.6608821.7087465.261746e-09
0.661811.70875.269131e-09
0.6627391.7086555.276527e-09
0.6636691.708615.283933e-09
0.6646011.7085645.291349e-09
0.6655331.7085195.298776e-09
0.6664671.7084745.306213e-09
0.6674031.7084295.313661e-09
0.668341.7083845.321119e-09
0.6692781.708345.328588e-09
0.6702171.7082955.336067e-09
0.6711581.708255.343557e-09
0.67211.7082065.351057e-09
0.6730431.7081625.358567e-09
0.6739881.7081175.366089e-09
0.6749331.7080735.373620e-09
0.6758811.7080295.381163e-09
0.6768291.7079855.388716e-09
0.6777791.7079415.396279e-09
0.6787311.7078985.403853e-09
0.6796831.7078545.411438e-09
0.6806371.7078115.419033e-09
0.6815921.7077675.426639e-09
0.6825491.7077245.434256e-09
0.6835071.7076815.441884e-09
0.6844661.7076375.449522e-09
0.6854271.7075945.457171e-09
0.6863891.7075515.464830e-09
0.6873521.7075095.472500e-09
0.6883171.7074665.480182e-09
0.6892831.7074235.487873e-09
0.6902511.7073815.495576e-09
0.6912191.7073385.503290e-09
0.692191.7072965.511014e-09
0.6931611.7072545.518749e-09
0.6941341.7072115.526495e-09
0.6951081.7071695.534252e-09
0.6960841.7071275.542020e-09
0.6970611.7070855.549798e-09
0.6980391.7070445.557588e-09
0.6990191.7070025.565389e-09
0.71.706965.573200e-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
—