Optical constants

Refractive index of E-LASF010 (HIKARI)

E-LASF010: 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
1.834
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.36354
Permittivity ε2
1.71599e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
37.16
Chromatic dispersion dn/dλ
-0.114118 µm⁻¹
Group index ng
1.90105
Group velocity dispersion
218.861 fs²/mm
Dispersion parameter D
-1194 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-LASF010 (HIKARI): E-LASF010
hikari_e_lasf010 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF010", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf010.range_nm)  # (400, 700) nm
eps = hikari_e_lasf010.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=3.26060903−0.0148581563⁢λ2.0+0.0340319193⁢λ−2.0+0.00114204288⁢λ−4.0−1.89155362×10-5⁢λ−6.0+5.34279856×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.26060903
C2-0.0148581563
C32.0
C40.0340319193
C5-2.0
C60.00114204288
C7-4.0
C8-1.89155362e-05
C9-6.0
C105.34279856e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.834000
Vd
37.159899
glass code
834372
glass status
preferred
density
value: 4280
thermal expansion
value: 6.8e-06, temperature range: 243 343
dPgF
-0.0046

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-LASF010 (HIKARI), E-LASF010: n and k versus wavelength
λ (µm)nk
0.41.875922.447200e-07
0.4005611.8756792.416805e-07
0.4011241.8754392.386368e-07
0.4016871.87522.355887e-07
0.402251.8749622.325364e-07
0.4028151.8747252.294799e-07
0.403381.8744882.264190e-07
0.4039461.8742532.233538e-07
0.4045131.8740192.202843e-07
0.4050811.8737852.172106e-07
0.405651.8735532.141325e-07
0.4062191.8733212.110501e-07
0.4067891.873092.079633e-07
0.407361.872862.048722e-07
0.4079321.8726312.017768e-07
0.4085041.8724031.986771e-07
0.4090781.8721761.955730e-07
0.4096521.871951.924645e-07
0.4102271.8717251.893517e-07
0.4108031.87151.862345e-07
0.4113791.8712771.831129e-07
0.4119571.8710541.799870e-07
0.4125351.8708321.768566e-07
0.4131141.8706111.737219e-07
0.4136941.8703911.705828e-07
0.4142741.8701721.674392e-07
0.4148561.8699541.642913e-07
0.4154381.8697361.611389e-07
0.4160211.8695191.579821e-07
0.4166051.8693031.548209e-07
0.417191.8690881.516552e-07
0.4177751.8688741.484851e-07
0.4183621.8686611.453106e-07
0.4189491.8684481.421316e-07
0.4195371.8682361.389481e-07
0.421.868071.364400e-07
0.4201261.8680251.361174e-07
0.4207151.8678151.346025e-07
0.4213061.8676061.330855e-07
0.4218971.8673971.315664e-07
0.4224891.8671891.300452e-07
0.4230821.8669821.285218e-07
0.4236761.8667761.269963e-07
0.4242711.8665711.254686e-07
0.4248661.8663661.239388e-07
0.4254621.8661621.224068e-07
0.426061.8659591.208727e-07
0.4266581.8657571.193365e-07
0.4272561.8655551.177981e-07
0.4278561.8653551.162575e-07
0.4284571.8651551.147147e-07
0.4290581.8649551.131698e-07
0.429661.8647571.116228e-07
0.4302631.8645591.100735e-07
0.4308671.8643621.085221e-07
0.4314721.8641651.069685e-07
0.4320771.863971.054127e-07
0.4326841.8637751.038548e-07
0.4332911.8635811.022946e-07
0.4338991.8633871.007323e-07
0.4345081.8631959.916778e-08
0.4351181.8630039.760106e-08
0.4357291.8628119.603214e-08
0.436341.8626219.446101e-08
0.4369531.8624319.288768e-08
0.4375661.8622429.131215e-08
0.438181.8620538.973440e-08
0.4387951.8618668.815444e-08
0.4394111.8616788.657226e-08
0.441.86158.505900e-08
0.4400281.8614928.502298e-08
0.4406451.8613068.421961e-08
0.4412641.8611218.341512e-08
0.4418831.8609378.260950e-08
0.4425031.8607538.180275e-08
0.4431241.860578.099487e-08
0.4437461.8603888.018585e-08
0.4443691.8602067.937570e-08
0.4449931.8600257.856441e-08
0.4456171.8598457.775198e-08
0.4462431.8596657.693841e-08
0.4468691.8594867.612370e-08
0.4474961.8593077.530785e-08
0.4481241.859137.449085e-08
0.4487531.8589537.367270e-08
0.4493831.8587767.285341e-08
0.4500141.85867.203296e-08
0.4506451.8584257.121137e-08
0.4512781.858257.038862e-08
0.4519111.8580766.956471e-08
0.4525461.8579036.873965e-08
0.4531811.857736.791344e-08
0.4538171.8575586.708606e-08
0.4544541.8573876.625752e-08
0.4550921.8572166.542782e-08
0.455731.8570466.459695e-08
0.456371.8568766.376492e-08
0.4570111.8567076.293172e-08
0.4576521.8565386.209735e-08
0.4582941.856376.126181e-08
0.4589381.8562036.042510e-08
0.4595821.8560375.958721e-08
0.461.8559295.904300e-08
0.4602271.855875.872156e-08
0.4608731.8557055.780555e-08
0.4615191.855545.688825e-08
0.4621671.8553765.596967e-08
0.4628161.8552125.504980e-08
0.4634651.8550495.412863e-08
0.4641161.8548865.320618e-08
0.4647671.8547245.228243e-08
0.465421.8545635.135738e-08
0.4660731.8544025.043103e-08
0.4667271.8542414.950339e-08
0.4673821.8540824.857444e-08
0.4680381.8539224.764419e-08
0.4686951.8537644.671263e-08
0.4693531.8536064.577976e-08
0.4700121.8534484.484559e-08
0.4706711.8532914.391010e-08
0.4713321.8531354.297330e-08
0.4719931.8529794.203519e-08
0.4726561.8528234.109576e-08
0.4733191.8526694.015501e-08
0.4739841.8525143.921294e-08
0.4746491.852363.826955e-08
0.4753151.8522073.732484e-08
0.4759821.8520543.637880e-08
0.476651.8519023.543143e-08
0.4773191.8517513.448273e-08
0.4779891.8515993.353270e-08
0.478661.8514493.258134e-08
0.4793321.8512993.162864e-08
0.481.851153.068100e-08
0.4800051.8511493.067677e-08
0.4806781.8513.004599e-08
0.4813531.8508522.941432e-08
0.4820281.8507032.878176e-08
0.4827051.8505562.814831e-08
0.4833821.8504092.751398e-08
0.4840611.8502622.687875e-08
0.484741.8501162.624264e-08
0.4854211.8499712.560563e-08
0.4861021.8498262.496772e-08
0.4867841.8496812.432893e-08
0.4874671.8495372.368923e-08
0.4881521.8493932.304864e-08
0.4888371.849252.240715e-08
0.4895231.8491082.176475e-08
0.490211.8489662.112146e-08
0.4908981.8488242.047726e-08
0.4915871.8486831.983216e-08
0.4922771.8485421.918615e-08
0.4929681.8484021.853924e-08
0.493661.8482621.789142e-08
0.4943531.8481231.724269e-08
0.4950461.8479841.659305e-08
0.4957411.8478461.594249e-08
0.4964371.8477081.529103e-08
0.4971341.847571.463865e-08
0.4978321.8474331.398535e-08
0.498531.8472971.333114e-08
0.499231.8471611.267601e-08
0.4999311.8470251.201996e-08
0.51.8470121.195500e-08
0.5006321.846891.185920e-08
0.5013351.8467551.175273e-08
0.5020391.8466211.164611e-08
0.5027431.8464871.153935e-08
0.5034491.8463541.143243e-08
0.5041551.8462211.132537e-08
0.5048631.8460881.121815e-08
0.5055721.8459561.111079e-08
0.5062811.8458251.100327e-08
0.5069921.8456931.089561e-08
0.5077031.8455631.078779e-08
0.5084161.8454321.067982e-08
0.509131.8453031.057170e-08
0.5098441.8451731.046342e-08
0.510561.8450441.035500e-08
0.5112761.8449151.024642e-08
0.5119941.8447871.013769e-08
0.5127121.8446591.002881e-08
0.5134321.8445329.919775e-09
0.5141531.8444059.810587e-09
0.5148741.8442799.701246e-09
0.5155971.8441539.591751e-09
0.5163211.8440279.482103e-09
0.5170451.8439029.372301e-09
0.5177711.8437779.262344e-09
0.5184981.8436529.152234e-09
0.5192251.8435289.041968e-09
0.5199541.8434048.931548e-09
0.5206841.8432818.820974e-09
0.5214151.8431588.710243e-09
0.5221471.8430368.599358e-09
0.5228791.8429148.488317e-09
0.5236131.8427928.377120e-09
0.5243481.8426718.265767e-09
0.5250841.842558.154257e-09
0.5258211.8424298.042591e-09
0.5265591.8423097.930769e-09
0.5272981.842197.818789e-09
0.5280381.842077.706653e-09
0.5287791.8419517.594358e-09
0.5295211.8418337.481907e-09
0.5302651.8417147.369297e-09
0.5310091.8415977.256530e-09
0.5317541.8414797.143604e-09
0.5325011.8413627.030519e-09
0.5332481.8412456.917276e-09
0.5339961.8411296.803874e-09
0.5347461.8410136.690313e-09
0.5354961.8408986.576592e-09
0.5362481.8407826.462712e-09
0.5370011.8406676.348672e-09
0.5377541.8405536.234472e-09
0.5385091.8404396.120112e-09
0.5392651.8403256.005591e-09
0.5400221.8402125.890909e-09
0.540781.8400995.776067e-09
0.5415391.8399865.661063e-09
0.5422991.8398745.545898e-09
0.543061.8397625.430571e-09
0.5438221.839655.315083e-09
0.5445851.8395395.199432e-09
0.545351.8394285.083619e-09
0.5461151.8393174.967643e-09
0.5468821.8392074.851505e-09
0.5476491.8390974.735203e-09
0.5484181.8389884.618739e-09
0.5491871.8388784.502111e-09
0.5499581.838774.385319e-09
0.551.8387644.379000e-09
0.550731.8386614.384812e-09
0.5515031.8385534.390965e-09
0.5522771.8384454.397126e-09
0.5530521.8383384.403297e-09
0.5538291.838234.409475e-09
0.5546061.8381244.415663e-09
0.5553841.8380174.421859e-09
0.5561641.8379114.428064e-09
0.5569441.8378054.434277e-09
0.5577261.83774.440499e-09
0.5585091.8375944.446730e-09
0.5592931.8374894.452970e-09
0.5600781.8373854.459219e-09
0.5608641.8372814.465476e-09
0.5616511.8371774.471742e-09
0.5624391.8370734.478017e-09
0.5632291.836974.484300e-09
0.5640191.8368674.490593e-09
0.5648111.8367644.496894e-09
0.5656041.8366624.503204e-09
0.5663971.836564.509523e-09
0.5671921.8364594.515851e-09
0.5679881.8363574.522188e-09
0.5687861.8362564.528533e-09
0.5695841.8361554.534888e-09
0.5703831.8360554.541251e-09
0.5711841.8359554.547624e-09
0.5719861.8358554.554005e-09
0.5727881.8357554.560395e-09
0.5735921.8356564.566795e-09
0.5743971.8355574.573203e-09
0.5752041.8354594.579620e-09
0.5760111.835364.586046e-09
0.5768191.8352624.592481e-09
0.5776291.8351654.598926e-09
0.578441.8350674.605379e-09
0.5792511.834974.611841e-09
0.5800641.8348734.618313e-09
0.5808791.8347774.624793e-09
0.5816941.834684.631283e-09
0.582511.8345844.637782e-09
0.5833281.8344894.644290e-09
0.5841471.8343934.650807e-09
0.5849661.8342984.657333e-09
0.5857871.8342044.663868e-09
0.586611.8341094.670413e-09
0.5874331.8340154.676966e-09
0.5882571.8339214.683529e-09
0.5890831.8338274.690101e-09
0.589911.8337344.696682e-09
0.5907381.8336414.703273e-09
0.5915671.8335484.709873e-09
0.5923971.8334554.716482e-09
0.5932291.8333634.723100e-09
0.5940611.8332714.729728e-09
0.5948951.8331794.736365e-09
0.595731.8330884.743011e-09
0.5965661.8329964.749666e-09
0.5974031.8329054.756331e-09
0.5982421.8328154.763006e-09
0.5990821.8327244.769689e-09
0.5999221.8326344.776382e-09
0.61.8326264.777000e-09
0.6007641.8325444.783086e-09
0.6016081.8324554.789800e-09
0.6024521.8323654.796523e-09
0.6032981.8322764.803255e-09
0.6041441.8321884.809997e-09
0.6049921.8320994.816748e-09
0.6058411.8320114.823509e-09
0.6066921.8319234.830279e-09
0.6075431.8318354.837059e-09
0.6083961.8317474.843848e-09
0.609251.831664.850647e-09
0.6101051.8315734.857455e-09
0.6109611.8314864.864273e-09
0.6118191.83144.871100e-09
0.6126771.8313144.877937e-09
0.6135371.8312284.884784e-09
0.6143981.8311424.891640e-09
0.6152611.8310564.898506e-09
0.6161241.8309714.905381e-09
0.6169891.8308864.912266e-09
0.6178551.8308014.919161e-09
0.6187221.8307174.926066e-09
0.6195911.8306334.932980e-09
0.620461.8305494.939904e-09
0.6213311.8304654.946837e-09
0.6222031.8303814.953781e-09
0.6230761.8302984.960734e-09
0.6239511.8302154.967697e-09
0.6248271.8301324.974669e-09
0.6257041.8300494.981652e-09
0.6265821.8299674.988644e-09
0.6274611.8298854.995646e-09
0.6283421.8298035.002658e-09
0.6292241.8297215.009679e-09
0.6301071.829645.016711e-09
0.6309911.8295595.023752e-09
0.6318771.8294785.030803e-09
0.6327641.8293975.037865e-09
0.6336521.8293175.044936e-09
0.6345411.8292365.052017e-09
0.6354321.8291565.059108e-09
0.6363241.8290775.066208e-09
0.6372171.8289975.073319e-09
0.6381111.8289185.080440e-09
0.6390071.8288385.087571e-09
0.6399041.828765.094712e-09
0.6408021.8286815.101863e-09
0.6417011.8286025.109024e-09
0.6426021.8285245.116194e-09
0.6435041.8284465.123375e-09
0.6444071.8283685.130567e-09
0.6453111.8282915.137768e-09
0.6462171.8282135.144979e-09
0.6471241.8281365.152200e-09
0.6480321.8280595.159432e-09
0.6489421.8279825.166674e-09
0.6498521.8279065.173926e-09
0.651.8278945.175100e-09
0.6507651.827835.181188e-09
0.6516781.8277545.188460e-09
0.6525931.8276785.195742e-09
0.6535091.8276025.203035e-09
0.6544261.8275275.210338e-09
0.6553441.8274515.217651e-09
0.6562641.8273765.224974e-09
0.6571851.8273015.232308e-09
0.6581081.8272275.239652e-09
0.6590311.8271525.247006e-09
0.6599561.8270785.254371e-09
0.6608821.8270045.261746e-09
0.661811.826935.269131e-09
0.6627391.8268575.276527e-09
0.6636691.8267835.283933e-09
0.6646011.826715.291349e-09
0.6655331.8266375.298776e-09
0.6664671.8265645.306213e-09
0.6674031.8264925.313661e-09
0.668341.8264195.321119e-09
0.6692781.8263475.328588e-09
0.6702171.8262755.336067e-09
0.6711581.8262035.343557e-09
0.67211.8261315.351057e-09
0.6730431.826065.358567e-09
0.6739881.8259895.366089e-09
0.6749331.8259185.373620e-09
0.6758811.8258475.381163e-09
0.6768291.8257765.388716e-09
0.6777791.8257065.396279e-09
0.6787311.8256355.403853e-09
0.6796831.8255655.411438e-09
0.6806371.8254955.419033e-09
0.6815921.8254265.426639e-09
0.6825491.8253565.434256e-09
0.6835071.8252875.441884e-09
0.6844661.8252185.449522e-09
0.6854271.8251495.457171e-09
0.6863891.825085.464830e-09
0.6873521.8250115.472500e-09
0.6883171.8249435.480182e-09
0.6892831.8248745.487873e-09
0.6902511.8248065.495576e-09
0.6912191.8247395.503290e-09
0.692191.8246715.511014e-09
0.6931611.8246035.518749e-09
0.6941341.8245365.526495e-09
0.6951081.8244695.534252e-09
0.6960841.8244025.542020e-09
0.6970611.8243355.549798e-09
0.6980391.8242685.557588e-09
0.6990191.8242025.565389e-09
0.71.8241355.573200e-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
—