Optical constants

Refractive index of E-LASF021 (HIKARI)

E-LASF021: 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
1.85026
Extinction coefficient k
6.00868e-08
Permittivity ε1
3.42344
Permittivity ε2
2.22352e-07
Absorption coefficient α
0.0128501 cm⁻¹
Penetration depth δ = λ/(2πk)
1.55641e+09 nm
Abbe number Vd
32.348
Chromatic dispersion dn/dλ
-0.132735 µm⁻¹
Group index ng
1.92825
Group velocity dispersion
262.836 fs²/mm
Dispersion parameter D
-1433.91 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-LASF021 (HIKARI): E-LASF021
hikari_e_lasf021 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF021", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf021.range_nm)  # (400, 700) nm
eps = hikari_e_lasf021.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=3.30328439−0.0145196022⁢λ2.0+0.0383186238⁢λ−2.0+0.00182646612⁢λ−4.0−9.04598096×10-5⁢λ−6.0+1.51789935×10-5⁢λ−8.0+1.69313476×10-5⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.30328439
C2-0.0145196022
C32.0
C40.0383186238
C5-2.0
C60.00182646612
C7-4.0
C8-9.04598096e-05
C9-6.0
C101.51789935e-05
C11-8.0
C121.69313476e-05
C134.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.850260
Vd
32.348145
glass status
preferred
density
value: 4340
thermal expansion
value: 8.1e-06, temperature range: 243 343
dPgF
0.0041

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-LASF021 (HIKARI), E-LASF021: n and k versus wavelength
λ (µm)nk
0.41.9007576.316900e-07
0.4005611.9004546.238429e-07
0.4011241.9001536.159847e-07
0.4016871.8998536.081155e-07
0.402251.8995556.002353e-07
0.4028151.8992585.923440e-07
0.403381.8989625.844417e-07
0.4039461.8986685.765282e-07
0.4045131.8983755.686037e-07
0.4050811.8980835.606680e-07
0.405651.8977935.527212e-07
0.4062191.8975045.447632e-07
0.4067891.8972165.367941e-07
0.407361.8969295.288137e-07
0.4079321.8966445.208222e-07
0.4085041.896365.128195e-07
0.4090781.8960775.048055e-07
0.4096521.8957964.967803e-07
0.4102271.8955164.887438e-07
0.4108031.8952374.806960e-07
0.4113791.8949594.726370e-07
0.4119571.8946824.645666e-07
0.4125351.8944074.564849e-07
0.4131141.8941334.483919e-07
0.4136941.893864.402875e-07
0.4142741.8935884.321717e-07
0.4148561.8933184.240445e-07
0.4154381.8930484.159059e-07
0.4160211.892784.077559e-07
0.4166051.8925133.995945e-07
0.417191.8922473.914216e-07
0.4177751.8919823.832373e-07
0.4183621.8917193.750414e-07
0.4189491.8914563.668341e-07
0.4195371.8911953.586152e-07
0.421.890993.521400e-07
0.4201261.8909343.514536e-07
0.4207151.8906753.482305e-07
0.4213061.8904173.450029e-07
0.4218971.890163.417708e-07
0.4224891.8899053.385341e-07
0.4230821.889653.352929e-07
0.4236761.8893963.320472e-07
0.4242711.8891433.287969e-07
0.4248661.8888923.255420e-07
0.4254621.8886413.222826e-07
0.426061.8883923.190185e-07
0.4266581.8881443.157499e-07
0.4272561.8878963.124768e-07
0.4278561.887653.091990e-07
0.4284571.8874053.059166e-07
0.4290581.887163.026296e-07
0.429661.8869172.993380e-07
0.4302631.8866752.960418e-07
0.4308671.8864342.927409e-07
0.4314721.8861932.894355e-07
0.4320771.8859542.861253e-07
0.4326841.8857162.828106e-07
0.4332911.8854792.794912e-07
0.4338991.8852422.761671e-07
0.4345081.8850072.728383e-07
0.4351181.8847732.695049e-07
0.4357291.8845392.661668e-07
0.436341.8843072.628241e-07
0.4369531.8840752.594766e-07
0.4375661.8838452.561244e-07
0.438181.8836152.527675e-07
0.4387951.8833862.494060e-07
0.4394111.8831592.460397e-07
0.441.8829422.428200e-07
0.4400281.8829322.427278e-07
0.4406451.8827062.406712e-07
0.4412641.8824812.386117e-07
0.4418831.8822572.365494e-07
0.4425031.8820332.344841e-07
0.4431241.8818112.324160e-07
0.4437461.8815892.303449e-07
0.4443691.8813692.282710e-07
0.4449931.8811492.261941e-07
0.4456171.880932.241143e-07
0.4462431.8807122.220316e-07
0.4468691.8804952.199460e-07
0.4474961.8802792.178574e-07
0.4481241.8800642.157659e-07
0.4487531.8798492.136715e-07
0.4493831.8796352.115741e-07
0.4500141.8794232.094738e-07
0.4506451.8792112.073706e-07
0.4512781.8789992.052644e-07
0.4519111.8787892.031552e-07
0.4525461.878582.010431e-07
0.4531811.8783711.989280e-07
0.4538171.8781631.968099e-07
0.4544541.8779561.946889e-07
0.4550921.877751.925649e-07
0.455731.8775441.904379e-07
0.456371.8773391.883079e-07
0.4570111.8771361.861750e-07
0.4576521.8769321.840390e-07
0.4582941.876731.819001e-07
0.4589381.8765291.797581e-07
0.4595821.8763281.776132e-07
0.461.8761981.762200e-07
0.4602271.8761281.757203e-07
0.4608731.8759291.742963e-07
0.4615191.875731.728703e-07
0.4621671.8755321.714424e-07
0.4628161.8753351.700124e-07
0.4634651.8751391.685804e-07
0.4641161.8749441.671464e-07
0.4647671.8747491.657104e-07
0.465421.8745551.642724e-07
0.4660731.8743621.628323e-07
0.4667271.8741691.613902e-07
0.4673821.8739781.599461e-07
0.4680381.8737861.585000e-07
0.4686951.8735961.570519e-07
0.4693531.8734061.556017e-07
0.4700121.8732181.541495e-07
0.4706711.8730291.526952e-07
0.4713321.8728421.512389e-07
0.4719931.8726551.497806e-07
0.4726561.8724691.483202e-07
0.4733191.8722841.468578e-07
0.4739841.8720991.453933e-07
0.4746491.8719151.439267e-07
0.4753151.8717311.424581e-07
0.4759821.8715491.409875e-07
0.476651.8713671.395148e-07
0.4773191.8711851.380400e-07
0.4779891.8710051.365631e-07
0.478661.8708251.350842e-07
0.4793321.8706461.336031e-07
0.481.8704681.321300e-07
0.4800051.8704671.321229e-07
0.4806781.8702891.310655e-07
0.4813531.8701121.300067e-07
0.4820281.8699351.289463e-07
0.4827051.8697591.278845e-07
0.4833821.8695831.268212e-07
0.4840611.8694091.257564e-07
0.484741.8692341.246901e-07
0.4854211.8690611.236223e-07
0.4861021.8688881.225530e-07
0.4867841.8687161.214822e-07
0.4874671.8685441.204098e-07
0.4881521.8683731.193360e-07
0.4888371.8682031.182607e-07
0.4895231.8680331.171839e-07
0.490211.8678641.161055e-07
0.4908981.8676951.150257e-07
0.4915871.8675281.139443e-07
0.4922771.867361.128614e-07
0.4929681.8671931.117770e-07
0.493661.8670271.106911e-07
0.4943531.8668621.096036e-07
0.4950461.8666971.085147e-07
0.4957411.8665331.074242e-07
0.4964371.8663691.063321e-07
0.4971341.8662061.052385e-07
0.4978321.8660431.041434e-07
0.498531.8658811.030468e-07
0.499231.865721.019486e-07
0.4999311.8655591.008489e-07
0.51.8655431.007400e-07
0.5006321.8653981.001343e-07
0.5013351.8652399.946110e-08
0.5020391.8650799.878700e-08
0.5027431.8649219.811195e-08
0.5034491.8647639.743596e-08
0.5041551.8646059.675902e-08
0.5048631.8644489.608112e-08
0.5055721.8642929.540228e-08
0.5062811.8641369.472248e-08
0.5069921.8639819.404173e-08
0.5077031.8638269.336003e-08
0.5084161.8636729.267736e-08
0.509131.8635189.199374e-08
0.5098441.8633659.130916e-08
0.510561.8632129.062362e-08
0.5112761.863068.993712e-08
0.5119941.8629098.924965e-08
0.5127121.8627588.856122e-08
0.5134321.8626078.787182e-08
0.5141531.8624578.718146e-08
0.5148741.8623088.649012e-08
0.5155971.8621598.579782e-08
0.5163211.8620118.510454e-08
0.5170451.8618638.441029e-08
0.5177711.8617158.371507e-08
0.5184981.8615688.301887e-08
0.5192251.8614228.232169e-08
0.5199541.8612768.162353e-08
0.5206841.8611318.092440e-08
0.5214151.8609868.022428e-08
0.5221471.8608417.952318e-08
0.5228791.8606987.882110e-08
0.5236131.8605547.811803e-08
0.5243481.8604117.741397e-08
0.5250841.8602697.670893e-08
0.5258211.8601277.600290e-08
0.5265591.8599857.529587e-08
0.5272981.8598447.458786e-08
0.5280381.8597047.387885e-08
0.5287791.8595647.316884e-08
0.5295211.8594247.245784e-08
0.5302651.8592857.174584e-08
0.5310091.8591477.103284e-08
0.5317541.8590087.031884e-08
0.5325011.8588716.960384e-08
0.5332481.8587346.888783e-08
0.5339961.8585976.817082e-08
0.5347461.858466.745281e-08
0.5354961.8583256.673378e-08
0.5362481.8581896.601375e-08
0.5370011.8580546.529271e-08
0.5377541.857926.457065e-08
0.5385091.8577866.384758e-08
0.5392651.8576526.312350e-08
0.5400221.8575196.239839e-08
0.540781.8573866.167228e-08
0.5415391.8572546.094514e-08
0.5422991.8571226.021698e-08
0.543061.8569915.948780e-08
0.5438221.856865.875760e-08
0.5445851.8567295.802637e-08
0.545351.8565995.729411e-08
0.5461151.856475.656083e-08
0.5468821.8563415.582652e-08
0.5476491.8562125.509118e-08
0.5484181.8560835.435480e-08
0.5491871.8559555.361740e-08
0.5499581.8558285.287895e-08
0.551.8558215.283900e-08
0.550731.8557015.297975e-08
0.5515031.8555745.312875e-08
0.5522771.8554485.327795e-08
0.5530521.8553225.342737e-08
0.5538291.8551975.357699e-08
0.5546061.8550725.372683e-08
0.5553841.8549475.387687e-08
0.5561641.8548235.402713e-08
0.5569441.8546995.417760e-08
0.5577261.8545755.432828e-08
0.5585091.8544525.447916e-08
0.5592931.854335.463027e-08
0.5600781.8542085.478158e-08
0.5608641.8540865.493311e-08
0.5616511.8539645.508484e-08
0.5624391.8538435.523680e-08
0.5632291.8537235.538896e-08
0.5640191.8536025.554134e-08
0.5648111.8534835.569393e-08
0.5656041.8533635.584674e-08
0.5663971.8532445.599976e-08
0.5671921.8531255.615299e-08
0.5679881.8530075.630645e-08
0.5687861.8528895.646011e-08
0.5695841.8527715.661399e-08
0.5703831.8526545.676809e-08
0.5711841.8525375.692240e-08
0.5719861.8524215.707694e-08
0.5727881.8523055.723168e-08
0.5735921.8521895.738665e-08
0.5743971.8520745.754183e-08
0.5752041.8519595.769723e-08
0.5760111.8518445.785285e-08
0.5768191.851735.800868e-08
0.5776291.8516165.816474e-08
0.578441.8515035.832101e-08
0.5792511.851395.847751e-08
0.5800641.8512775.863422e-08
0.5808791.8511645.879115e-08
0.5816941.8510525.894831e-08
0.582511.8509415.910568e-08
0.5833281.8508295.926328e-08
0.5841471.8507185.942109e-08
0.5849661.8506075.957913e-08
0.5857871.8504975.973739e-08
0.586611.8503875.989587e-08
0.5874331.8502786.005457e-08
0.5882571.8501686.021350e-08
0.5890831.8500596.037265e-08
0.589911.8499516.053202e-08
0.5907381.8498426.069162e-08
0.5915671.8497346.085144e-08
0.5923971.8496276.101149e-08
0.5932291.849526.117176e-08
0.5940611.8494136.133225e-08
0.5948951.8493066.149297e-08
0.595731.84926.165392e-08
0.5965661.8490946.181509e-08
0.5974031.8489886.197649e-08
0.5982421.8488836.213811e-08
0.5990821.8487786.229996e-08
0.5999221.8486746.246204e-08
0.61.8486646.247700e-08
0.6007641.8485696.255660e-08
0.6016081.8484656.264441e-08
0.6024521.8483626.273235e-08
0.6032981.8482586.282040e-08
0.6041441.8481556.290858e-08
0.6049921.8480536.299689e-08
0.6058411.847956.308532e-08
0.6066921.8478486.317387e-08
0.6075431.8477466.326254e-08
0.6083961.8476456.335134e-08
0.609251.8475446.344027e-08
0.6101051.8474436.352932e-08
0.6109611.8473426.361850e-08
0.6118191.8472426.370780e-08
0.6126771.8471426.379722e-08
0.6135371.8470436.388677e-08
0.6143981.8469436.397645e-08
0.6152611.8468446.406625e-08
0.6161241.8467466.415618e-08
0.6169891.8466476.424624e-08
0.6178551.8465496.433642e-08
0.6187221.8464516.442672e-08
0.6195911.8463546.451716e-08
0.620461.8462576.460772e-08
0.6213311.846166.469841e-08
0.6222031.8460636.478923e-08
0.6230761.8459676.488017e-08
0.6239511.8458716.497124e-08
0.6248271.8457756.506244e-08
0.6257041.8456796.515377e-08
0.6265821.8455846.524522e-08
0.6274611.8454896.533680e-08
0.6283421.8453956.542852e-08
0.6292241.84536.552036e-08
0.6301071.8452066.561233e-08
0.6309911.8451136.570443e-08
0.6318771.8450196.579665e-08
0.6327641.8449266.588901e-08
0.6336521.8448336.598150e-08
0.6345411.844746.607411e-08
0.6354321.8446486.616686e-08
0.6363241.8445566.625974e-08
0.6372171.8444646.635275e-08
0.6381111.8443726.644588e-08
0.6390071.8442816.653915e-08
0.6399041.844196.663255e-08
0.6408021.8440996.672608e-08
0.6417011.8440096.681974e-08
0.6426021.8439196.691354e-08
0.6435041.8438296.700746e-08
0.6444071.8437396.710152e-08
0.6453111.8436496.719571e-08
0.6462171.843566.729003e-08
0.6471241.8434716.738448e-08
0.6480321.8433836.747907e-08
0.6489421.8432946.757379e-08
0.6498521.8432066.766864e-08
0.651.8431926.768400e-08
0.6507651.8431186.741910e-08
0.6516781.8430316.710266e-08
0.6525931.8429436.678577e-08
0.6535091.8428566.646843e-08
0.6544261.8427696.615065e-08
0.6553441.8426836.583243e-08
0.6562641.8425966.551376e-08
0.6571851.842516.519464e-08
0.6581081.8424256.487507e-08
0.6590311.8423396.455505e-08
0.6599561.8422546.423459e-08
0.6608821.8421686.391367e-08
0.661811.8420846.359231e-08
0.6627391.8419996.327049e-08
0.6636691.8419156.294822e-08
0.6646011.841836.262550e-08
0.6655331.8417476.230233e-08
0.6664671.8416636.197870e-08
0.6674031.8415796.165462e-08
0.668341.8414966.133009e-08
0.6692781.8414136.100510e-08
0.6702171.8413316.067965e-08
0.6711581.8412486.035374e-08
0.67211.8411666.002738e-08
0.6730431.8410845.970056e-08
0.6739881.8410025.937328e-08
0.6749331.8409215.904555e-08
0.6758811.8408395.871735e-08
0.6768291.8407585.838869e-08
0.6777791.8406775.805957e-08
0.6787311.8405975.772999e-08
0.6796831.8405165.739994e-08
0.6806371.8404365.706944e-08
0.6815921.8403565.673846e-08
0.6825491.8402775.640703e-08
0.6835071.8401975.607513e-08
0.6844661.8401185.574276e-08
0.6854271.8400395.540993e-08
0.6863891.839965.507663e-08
0.6873521.8398815.474286e-08
0.6883171.8398035.440862e-08
0.6892831.8397255.407392e-08
0.6902511.8396475.373874e-08
0.6912191.8395695.340309e-08
0.692191.8394925.306698e-08
0.6931611.8394145.273039e-08
0.6941341.8393375.239333e-08
0.6951081.839265.205579e-08
0.6960841.8391845.171778e-08
0.6970611.8391075.137930e-08
0.6980391.8390315.104034e-08
0.6990191.8389555.070091e-08
0.71.8388795.036100e-08

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
—