Optical constants

Refractive index of E-LAF01 (HIKARI)

E-LAF01: 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
1.7
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.88998
Permittivity ε2
1.59062e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
48.079
Chromatic dispersion dn/dλ
-0.0746295 µm⁻¹
Group index ng
1.74385
Group velocity dispersion
137.257 fs²/mm
Dispersion parameter D
-748.808 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-LAF01 (HIKARI): E-LAF01
hikari_e_laf01 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF01", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf01.range_nm)  # (400, 700) nm
eps = hikari_e_laf01.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=2.82762091−0.0112227553⁢λ2.0+0.0213169098⁢λ−2.0+0.000559325355⁢λ−4.0−1.3357138×10-5⁢λ−6.0+1.86385587×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.82762091
C2-0.0112227553
C32.0
C40.0213169098
C5-2.0
C60.000559325355
C7-4.0
C8-1.3357138e-05
C9-6.0
C101.86385587e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.699998
Vd
48.078853
glass code
700481
glass status
preferred
density
value: 3690
thermal expansion
value: 9.1e-06, temperature range: 243 343
dPgF
-0.0043

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-LAF01 (HIKARI), E-LAF01: n and k versus wavelength
λ (µm)nk
0.41.7264099.695500e-08
0.4005611.7262639.546105e-08
0.4011241.7261179.396501e-08
0.4016871.7259729.246687e-08
0.402251.7258279.096663e-08
0.4028151.7256838.946428e-08
0.403381.7255398.795982e-08
0.4039461.7253968.645325e-08
0.4045131.7252538.494456e-08
0.4050811.7251118.343376e-08
0.405651.724978.192084e-08
0.4062191.7248298.040579e-08
0.4067891.7246887.888862e-08
0.407361.7245487.736932e-08
0.4079321.7244087.584788e-08
0.4085041.7242697.432431e-08
0.4090781.724137.279860e-08
0.4096521.7239927.127076e-08
0.4102271.7238546.974076e-08
0.4108031.7237176.820862e-08
0.4113791.7235816.667433e-08
0.4119571.7234446.513788e-08
0.4125351.7233086.359928e-08
0.4131141.7231736.205852e-08
0.4136941.7230386.051560e-08
0.4142741.7229045.897051e-08
0.4148561.722775.742325e-08
0.4154381.7226375.587382e-08
0.4160211.7225045.432222e-08
0.4166051.7223715.276844e-08
0.417191.7222395.121247e-08
0.4177751.7221074.965433e-08
0.4183621.7219764.809399e-08
0.4189491.7218464.653147e-08
0.4195371.7217154.496675e-08
0.421.7216134.373400e-08
0.4201261.7215864.361384e-08
0.4207151.7214564.304959e-08
0.4213061.7213274.248456e-08
0.4218971.7211994.191873e-08
0.4224891.7210714.135210e-08
0.4230821.7209434.078469e-08
0.4236761.7208164.021647e-08
0.4242711.7206893.964746e-08
0.4248661.7205633.907765e-08
0.4254621.7204373.850704e-08
0.426061.7203123.793562e-08
0.4266581.7201873.736341e-08
0.4272561.7200623.679039e-08
0.4278561.7199383.621657e-08
0.4284571.7198143.564194e-08
0.4290581.7196913.506651e-08
0.429661.7195683.449027e-08
0.4302631.7194463.391322e-08
0.4308671.7193243.333536e-08
0.4314721.7192023.275669e-08
0.4320771.7190813.217721e-08
0.4326841.718963.159691e-08
0.4332911.7188393.101580e-08
0.4338991.7187193.043387e-08
0.4345081.71862.985113e-08
0.4351181.7184812.926757e-08
0.4357291.7183622.868319e-08
0.436341.7182432.809799e-08
0.4369531.7181252.751197e-08
0.4375661.7180082.692512e-08
0.438181.717892.633746e-08
0.4387951.7177742.574896e-08
0.4394111.7176572.515965e-08
0.441.7175462.459600e-08
0.4400281.7175412.457717e-08
0.4406451.7174252.415727e-08
0.4412641.717312.373678e-08
0.4418831.7171952.331570e-08
0.4425031.7170812.289403e-08
0.4431241.7169672.247177e-08
0.4437461.7168532.204891e-08
0.4443691.7167392.162546e-08
0.4449931.7166262.120142e-08
0.4456171.7165142.077678e-08
0.4462431.7164012.035154e-08
0.4468691.716291.992571e-08
0.4474961.7161781.949928e-08
0.4481241.7160671.907225e-08
0.4487531.7159561.864463e-08
0.4493831.7158461.821640e-08
0.4500141.7157361.778757e-08
0.4506451.7156261.735814e-08
0.4512781.7155171.692811e-08
0.4519111.7154081.649747e-08
0.4525461.7152991.606623e-08
0.4531811.7151911.563439e-08
0.4538171.7150831.520193e-08
0.4544541.7149751.476887e-08
0.4550921.7148681.433521e-08
0.455731.7147611.390093e-08
0.456371.7146551.346605e-08
0.4570111.7145481.303055e-08
0.4576521.7144431.259444e-08
0.4582941.7143371.215772e-08
0.4589381.7142321.172039e-08
0.4595821.7141271.128245e-08
0.461.7140591.099800e-08
0.4602271.7140231.091667e-08
0.4608731.7139191.068489e-08
0.4615191.7138151.045279e-08
0.4621671.7137111.022036e-08
0.4628161.7136089.987605e-09
0.4634651.7135069.754524e-09
0.4641161.7134039.521116e-09
0.4647671.7133019.287381e-09
0.465421.7131999.053317e-09
0.4660731.7130988.818925e-09
0.4667271.7129978.584204e-09
0.4673821.7128968.349153e-09
0.4680381.7127958.113773e-09
0.4686951.7126957.878062e-09
0.4693531.7125957.642020e-09
0.4700121.7124967.405647e-09
0.4706711.7123977.168943e-09
0.4713321.7122986.931906e-09
0.4719931.7121996.694536e-09
0.4726561.7121016.456833e-09
0.4733191.7120036.218797e-09
0.4739841.7119055.980427e-09
0.4746491.7118085.741722e-09
0.4753151.7117115.502681e-09
0.4759821.7116145.263306e-09
0.476651.7115185.023594e-09
0.4773191.7114224.783546e-09
0.4779891.7113264.543162e-09
0.478661.7112314.302439e-09
0.4793321.7111364.061379e-09
0.481.7110413.821600e-09
0.4800051.7110413.821636e-09
0.4806781.7109463.827002e-09
0.4813531.7108523.832376e-09
0.4820281.7107583.837757e-09
0.4827051.7106643.843145e-09
0.4833821.7105713.848541e-09
0.4840611.7104783.853945e-09
0.484741.7103853.859357e-09
0.4854211.7102923.864776e-09
0.4861021.71023.870202e-09
0.4867841.7101083.875636e-09
0.4874671.7100173.881078e-09
0.4881521.7099253.886528e-09
0.4888371.7098343.891985e-09
0.4895231.7097443.897450e-09
0.490211.7096533.902922e-09
0.4908981.7095633.908402e-09
0.4915871.7094733.913890e-09
0.4922771.7093833.919385e-09
0.4929681.7092943.924889e-09
0.493661.7092053.930400e-09
0.4943531.7091163.935918e-09
0.4950461.7090283.941445e-09
0.4957411.7089393.946979e-09
0.4964371.7088513.952521e-09
0.4971341.7087643.958071e-09
0.4978321.7086763.963628e-09
0.498531.7085893.969193e-09
0.499231.7085023.974766e-09
0.4999311.7084163.980347e-09
0.51.7084073.980900e-09
0.5006321.7083293.985934e-09
0.5013351.7082433.991529e-09
0.5020391.7081573.997131e-09
0.5027431.7080724.002741e-09
0.5034491.7079864.008360e-09
0.5041551.7079014.013986e-09
0.5048631.7078174.019619e-09
0.5055721.7077324.025261e-09
0.5062811.7076484.030911e-09
0.5069921.7075644.036569e-09
0.5077031.707484.042234e-09
0.5084161.7073974.047908e-09
0.509131.7073134.053589e-09
0.5098441.707234.059279e-09
0.510561.7071484.064976e-09
0.5112761.7070654.070682e-09
0.5119941.7069834.076395e-09
0.5127121.7069014.082117e-09
0.5134321.7068194.087846e-09
0.5141531.7067384.093584e-09
0.5148741.7066574.099329e-09
0.5155971.7065764.105083e-09
0.5163211.7064954.110845e-09
0.5170451.7064154.116614e-09
0.5177711.7063344.122392e-09
0.5184981.7062544.128178e-09
0.5192251.7061754.133973e-09
0.5199541.7060954.139775e-09
0.5206841.7060164.145585e-09
0.5214151.7059374.151404e-09
0.5221471.7058584.157231e-09
0.5228791.705784.163066e-09
0.5236131.7057014.168909e-09
0.5243481.7056234.174760e-09
0.5250841.7055454.180620e-09
0.5258211.7054684.186487e-09
0.5265591.705394.192363e-09
0.5272981.7053134.198248e-09
0.5280381.7052364.204140e-09
0.5287791.705164.210041e-09
0.5295211.7050834.215950e-09
0.5302651.7050074.221867e-09
0.5310091.7049314.227793e-09
0.5317541.7048554.233727e-09
0.5325011.704784.239669e-09
0.5332481.7047054.245620e-09
0.5339961.7046294.251579e-09
0.5347461.7045554.257546e-09
0.5354961.704484.263522e-09
0.5362481.7044064.269506e-09
0.5370011.7043314.275499e-09
0.5377541.7042574.281500e-09
0.5385091.7041844.287509e-09
0.5392651.704114.293527e-09
0.5400221.7040374.299553e-09
0.540781.7039644.305588e-09
0.5415391.7038914.311631e-09
0.5422991.7038184.317682e-09
0.543061.7037464.323743e-09
0.5438221.7036734.329811e-09
0.5445851.7036014.335888e-09
0.545351.703534.341974e-09
0.5461151.7034584.348068e-09
0.5468821.7033874.354171e-09
0.5476491.7033164.360282e-09
0.5484181.7032454.366402e-09
0.5491871.7031744.372531e-09
0.5499581.7031034.378668e-09
0.551.7030994.379000e-09
0.550731.7030334.384812e-09
0.5515031.7029634.390965e-09
0.5522771.7028934.397126e-09
0.5530521.7028234.403297e-09
0.5538291.7027544.409475e-09
0.5546061.7026844.415663e-09
0.5553841.7026154.421859e-09
0.5561641.7025464.428064e-09
0.5569441.7024774.434277e-09
0.5577261.7024094.440499e-09
0.5585091.7023414.446730e-09
0.5592931.7022734.452970e-09
0.5600781.7022054.459219e-09
0.5608641.7021374.465476e-09
0.5616511.7020694.471742e-09
0.5624391.7020024.478017e-09
0.5632291.7019354.484300e-09
0.5640191.7018684.490593e-09
0.5648111.7018014.496894e-09
0.5656041.7017354.503204e-09
0.5663971.7016684.509523e-09
0.5671921.7016024.515851e-09
0.5679881.7015364.522188e-09
0.5687861.701474.528533e-09
0.5695841.7014054.534888e-09
0.5703831.7013394.541251e-09
0.5711841.7012744.547624e-09
0.5719861.7012094.554005e-09
0.5727881.7011444.560395e-09
0.5735921.7010794.566795e-09
0.5743971.7010154.573203e-09
0.5752041.7009514.579620e-09
0.5760111.7008864.586046e-09
0.5768191.7008234.592481e-09
0.5776291.7007594.598926e-09
0.578441.7006954.605379e-09
0.5792511.7006324.611841e-09
0.5800641.7005694.618313e-09
0.5808791.7005064.624793e-09
0.5816941.7004434.631283e-09
0.582511.700384.637782e-09
0.5833281.7003184.644290e-09
0.5841471.7002554.650807e-09
0.5849661.7001934.657333e-09
0.5857871.7001314.663868e-09
0.586611.7000694.670413e-09
0.5874331.7000084.676966e-09
0.5882571.6999464.683529e-09
0.5890831.6998854.690101e-09
0.589911.6998244.696682e-09
0.5907381.6997634.703273e-09
0.5915671.6997024.709873e-09
0.5923971.6996414.716482e-09
0.5932291.6995814.723100e-09
0.5940611.6995214.729728e-09
0.5948951.6994614.736365e-09
0.595731.6994014.743011e-09
0.5965661.6993414.749666e-09
0.5974031.6992814.756331e-09
0.5982421.6992224.763006e-09
0.5990821.6991634.769689e-09
0.5999221.6991044.776382e-09
0.61.6990984.777000e-09
0.6007641.6990454.783086e-09
0.6016081.6989864.789800e-09
0.6024521.6989274.796523e-09
0.6032981.6988694.803255e-09
0.6041441.6988114.809997e-09
0.6049921.6987534.816748e-09
0.6058411.6986954.823509e-09
0.6066921.6986374.830279e-09
0.6075431.6985794.837059e-09
0.6083961.6985224.843848e-09
0.609251.6984644.850647e-09
0.6101051.6984074.857455e-09
0.6109611.698354.864273e-09
0.6118191.6982934.871100e-09
0.6126771.6982374.877937e-09
0.6135371.698184.884784e-09
0.6143981.6981244.891640e-09
0.6152611.6980674.898506e-09
0.6161241.6980114.905381e-09
0.6169891.6979554.912266e-09
0.6178551.69794.919161e-09
0.6187221.6978444.926066e-09
0.6195911.6977894.932980e-09
0.620461.6977334.939904e-09
0.6213311.6976784.946837e-09
0.6222031.6976234.953781e-09
0.6230761.6975684.960734e-09
0.6239511.6975134.967697e-09
0.6248271.6974594.974669e-09
0.6257041.6974044.981652e-09
0.6265821.697354.988644e-09
0.6274611.6972964.995646e-09
0.6283421.6972425.002658e-09
0.6292241.6971885.009679e-09
0.6301071.6971345.016711e-09
0.6309911.6970815.023752e-09
0.6318771.6970275.030803e-09
0.6327641.6969745.037865e-09
0.6336521.6969215.044936e-09
0.6345411.6968685.052017e-09
0.6354321.6968155.059108e-09
0.6363241.6967625.066208e-09
0.6372171.696715.073319e-09
0.6381111.6966575.080440e-09
0.6390071.6966055.087571e-09
0.6399041.6965535.094712e-09
0.6408021.6965015.101863e-09
0.6417011.6964495.109024e-09
0.6426021.6963975.116194e-09
0.6435041.6963465.123375e-09
0.6444071.6962945.130567e-09
0.6453111.6962435.137768e-09
0.6462171.6961925.144979e-09
0.6471241.6961415.152200e-09
0.6480321.696095.159432e-09
0.6489421.6960395.166674e-09
0.6498521.6959885.173926e-09
0.651.695985.175100e-09
0.6507651.6959385.181188e-09
0.6516781.6958875.188460e-09
0.6525931.6958375.195742e-09
0.6535091.6957875.203035e-09
0.6544261.6957375.210338e-09
0.6553441.6956875.217651e-09
0.6562641.6956375.224974e-09
0.6571851.6955885.232308e-09
0.6581081.6955385.239652e-09
0.6590311.6954895.247006e-09
0.6599561.6954395.254371e-09
0.6608821.695395.261746e-09
0.661811.6953415.269131e-09
0.6627391.6952925.276527e-09
0.6636691.6952445.283933e-09
0.6646011.6951955.291349e-09
0.6655331.6951475.298776e-09
0.6664671.6950985.306213e-09
0.6674031.695055.313661e-09
0.668341.6950025.321119e-09
0.6692781.6949545.328588e-09
0.6702171.6949065.336067e-09
0.6711581.6948585.343557e-09
0.67211.6948115.351057e-09
0.6730431.6947635.358567e-09
0.6739881.6947165.366089e-09
0.6749331.6946685.373620e-09
0.6758811.6946215.381163e-09
0.6768291.6945745.388716e-09
0.6777791.6945275.396279e-09
0.6787311.6944815.403853e-09
0.6796831.6944345.411438e-09
0.6806371.6943875.419033e-09
0.6815921.6943415.426639e-09
0.6825491.6942955.434256e-09
0.6835071.6942485.441884e-09
0.6844661.6942025.449522e-09
0.6854271.6941565.457171e-09
0.6863891.694115.464830e-09
0.6873521.6940655.472500e-09
0.6883171.6940195.480182e-09
0.6892831.6939735.487873e-09
0.6902511.6939285.495576e-09
0.6912191.6938835.503290e-09
0.692191.6938375.511014e-09
0.6931611.6937925.518749e-09
0.6941341.6937475.526495e-09
0.6951081.6937035.534252e-09
0.6960841.6936585.542020e-09
0.6970611.6936135.549798e-09
0.6980391.6935695.557588e-09
0.6990191.6935245.565389e-09
0.71.693485.573200e-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
—