Optical constants

Refractive index of E-PSK02 (HIKARI)

E-PSK02: 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
1.618
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.61792
Permittivity ε2
7.23181e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
63.372
Chromatic dispersion dn/dλ
-0.0503502 µm⁻¹
Group index ng
1.64758
Group velocity dispersion
88.357 fs²/mm
Dispersion parameter D
-482.034 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-PSK02 (HIKARI): E-PSK02
hikari_e_psk02 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-PSK02", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_psk02.range_nm)  # (400, 700) nm
eps = hikari_e_psk02.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=2.57651436−0.00817396399⁢λ2.0+0.0152706397⁢λ−2.0−0.000117385023⁢λ−4.0+4.69952008×10-5⁢λ−6.0−2.25968944×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.57651436
C2-0.00817396399
C32.0
C40.0152706397
C5-2.0
C6-0.000117385023
C7-4.0
C84.69952008e-05
C9-6.0
C10-2.25968944e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.618000
Vd
63.372017
glass code
618634
glass status
preferred
density
value: 3550
thermal expansion
value: 1.1e-05, temperature range: 243 343
dPgF
0.0067

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-PSK02 (HIKARI), E-PSK02: n and k versus wavelength
λ (µm)nk
0.41.6352641.200100e-07
0.4005611.6351711.192092e-07
0.4011241.6350791.184072e-07
0.4016871.6349871.176041e-07
0.402251.6348951.167999e-07
0.4028151.6348041.159946e-07
0.403381.6347121.151882e-07
0.4039461.6346211.143806e-07
0.4045131.6345311.135718e-07
0.4050811.634441.127620e-07
0.405651.634351.119510e-07
0.4062191.6342611.111388e-07
0.4067891.6341711.103256e-07
0.407361.6340821.095111e-07
0.4079321.6339931.086956e-07
0.4085041.6339041.078789e-07
0.4090781.6338161.070610e-07
0.4096521.6337281.062420e-07
0.4102271.633641.054219e-07
0.4108031.6335521.046006e-07
0.4113791.6334651.037781e-07
0.4119571.6333781.029545e-07
0.4125351.6332911.021297e-07
0.4131141.6332051.013038e-07
0.4136941.6331191.004767e-07
0.4142741.6330339.964850e-08
0.4148561.6329479.881909e-08
0.4154381.6328629.798852e-08
0.4160211.6327779.715679e-08
0.4166051.6326929.632389e-08
0.417191.6326079.548982e-08
0.4177751.6325239.465458e-08
0.4183621.6324399.381817e-08
0.4189491.6323559.298058e-08
0.4195371.6322719.214182e-08
0.421.6322069.148100e-08
0.4201261.6321889.144068e-08
0.4207151.6321059.125134e-08
0.4213061.6320229.106173e-08
0.4218971.631949.087186e-08
0.4224891.6318589.068172e-08
0.4230821.6317769.049132e-08
0.4236761.6316949.030065e-08
0.4242711.6316139.010971e-08
0.4248661.6315318.991850e-08
0.4254621.631458.972703e-08
0.426061.631378.953528e-08
0.4266581.6312898.934327e-08
0.4272561.6312098.915098e-08
0.4278561.6311298.895843e-08
0.4284571.6310498.876561e-08
0.4290581.630978.857251e-08
0.429661.6308918.837915e-08
0.4302631.6308128.818551e-08
0.4308671.6307338.799160e-08
0.4314721.6306558.779742e-08
0.4320771.6305768.760297e-08
0.4326841.6304988.740824e-08
0.4332911.6304218.721325e-08
0.4338991.6303438.701797e-08
0.4345081.6302668.682243e-08
0.4351181.6301898.662660e-08
0.4357291.6301128.643051e-08
0.436341.6300358.623414e-08
0.4369531.6299598.603749e-08
0.4375661.6298838.584057e-08
0.438181.6298078.564337e-08
0.4387951.6297328.544589e-08
0.4394111.6296568.524814e-08
0.441.6295848.505900e-08
0.4400281.6295818.503845e-08
0.4406451.6295068.458023e-08
0.4412641.6294318.412137e-08
0.4418831.6293578.366186e-08
0.4425031.6292838.320170e-08
0.4431241.6292098.274090e-08
0.4437461.6291358.227945e-08
0.4443691.6290618.181736e-08
0.4449931.6289888.135462e-08
0.4456171.6289158.089122e-08
0.4462431.6288428.042718e-08
0.4468691.6287697.996249e-08
0.4474961.6286977.949714e-08
0.4481241.6286257.903114e-08
0.4487531.6285537.856449e-08
0.4493831.6284817.809718e-08
0.4500141.628417.762921e-08
0.4506451.6283387.716059e-08
0.4512781.6282677.669131e-08
0.4519111.6281967.622137e-08
0.4525461.6281267.575078e-08
0.4531811.6280557.527952e-08
0.4538171.6279857.480760e-08
0.4544541.6279157.433502e-08
0.4550921.6278457.386177e-08
0.455731.6277757.338786e-08
0.456371.6277067.291329e-08
0.4570111.6276377.243805e-08
0.4576521.6275687.196214e-08
0.4582941.6274997.148556e-08
0.4589381.6274317.100832e-08
0.4595821.6273627.053041e-08
0.461.6273187.022000e-08
0.4602271.6272947.003452e-08
0.4608731.6272266.950594e-08
0.4615191.6271586.897663e-08
0.4621671.6270916.844657e-08
0.4628161.6270246.791576e-08
0.4634651.6269566.738422e-08
0.4641161.6268896.685192e-08
0.4647671.6268236.631888e-08
0.465421.6267566.578509e-08
0.4660731.626696.525055e-08
0.4667271.6266246.471526e-08
0.4673821.6265586.417922e-08
0.4680381.6264926.364243e-08
0.4686951.6264276.310489e-08
0.4693531.6263616.256659e-08
0.4700121.6262966.202753e-08
0.4706711.6262316.148772e-08
0.4713321.6261676.094715e-08
0.4719931.6261026.040582e-08
0.4726561.6260385.986373e-08
0.4733191.6259745.932088e-08
0.4739841.625915.877727e-08
0.4746491.6258465.823290e-08
0.4753151.6257825.768776e-08
0.4759821.6257195.714185e-08
0.476651.6256565.659519e-08
0.4773191.6255935.604775e-08
0.4779891.625535.549954e-08
0.478661.6254675.495057e-08
0.4793321.6254055.440082e-08
0.481.6253435.385400e-08
0.4800051.6253425.385087e-08
0.4806781.625285.338383e-08
0.4813531.6252185.291613e-08
0.4820281.6251575.244778e-08
0.4827051.6250955.197876e-08
0.4833821.6250345.150909e-08
0.4840611.6249735.103876e-08
0.484741.6249125.056777e-08
0.4854211.6248515.009612e-08
0.4861021.624794.962381e-08
0.4867841.624734.915083e-08
0.4874671.6246694.867719e-08
0.4881521.6246094.820289e-08
0.4888371.6245494.772792e-08
0.4895231.624494.725228e-08
0.490211.624434.677598e-08
0.4908981.6243714.629901e-08
0.4915871.6243114.582136e-08
0.4922771.6242524.534305e-08
0.4929681.6241944.486407e-08
0.493661.6241354.438441e-08
0.4943531.6240764.390408e-08
0.4950461.6240184.342308e-08
0.4957411.623964.294140e-08
0.4964371.6239024.245904e-08
0.4971341.6238444.197601e-08
0.4978321.6237864.149230e-08
0.498531.6237294.100791e-08
0.499231.6236714.052284e-08
0.4999311.6236144.003710e-08
0.51.6236083.998900e-08
0.5006321.6235573.970514e-08
0.5013351.62353.938969e-08
0.5020391.6234443.907380e-08
0.5027431.6233873.875746e-08
0.5034491.6233313.844069e-08
0.5041551.6232753.812346e-08
0.5048631.6232183.780579e-08
0.5055721.6231633.748768e-08
0.5062811.6231073.716912e-08
0.5069921.6230513.685011e-08
0.5077031.6229963.653065e-08
0.5084161.6229413.621075e-08
0.509131.6228863.589040e-08
0.5098441.6228313.556959e-08
0.510561.6227763.524834e-08
0.5112761.6227213.492664e-08
0.5119941.6226673.460448e-08
0.5127121.6226133.428187e-08
0.5134321.6225593.395881e-08
0.5141531.6225053.363530e-08
0.5148741.6224513.331133e-08
0.5155971.6223973.298691e-08
0.5163211.6223443.266203e-08
0.5170451.622293.233670e-08
0.5177711.6222373.201091e-08
0.5184981.6221843.168466e-08
0.5192251.6221313.135795e-08
0.5199541.6220783.103079e-08
0.5206841.6220263.070316e-08
0.5214151.6219733.037508e-08
0.5221471.6219213.004654e-08
0.5228791.6218692.971753e-08
0.5236131.6218172.938807e-08
0.5243481.6217652.905814e-08
0.5250841.6217132.872774e-08
0.5258211.6216622.839689e-08
0.5265591.621612.806557e-08
0.5272981.6215592.773378e-08
0.5280381.6215082.740153e-08
0.5287791.6214572.706881e-08
0.5295211.6214062.673563e-08
0.5302651.6213552.640198e-08
0.5310091.6213052.606786e-08
0.5317541.6212542.573327e-08
0.5325011.6212042.539821e-08
0.5332481.6211542.506268e-08
0.5339961.6211042.472668e-08
0.5347461.6210542.439021e-08
0.5354961.6210042.405327e-08
0.5362481.6209552.371585e-08
0.5370011.6209052.337796e-08
0.5377541.6208562.303960e-08
0.5385091.6208072.270076e-08
0.5392651.6207582.236144e-08
0.5400221.6207092.202165e-08
0.540781.620662.168138e-08
0.5415391.6206112.134064e-08
0.5422991.6205632.099941e-08
0.543061.6205152.065771e-08
0.5438221.6204662.031553e-08
0.5445851.6204181.997286e-08
0.545351.620371.962972e-08
0.5461151.6203221.928610e-08
0.5468821.6202751.894199e-08
0.5476491.6202271.859740e-08
0.5484181.620181.825232e-08
0.5491871.6201331.790677e-08
0.5499581.6200851.756072e-08
0.551.6200831.754200e-08
0.550731.6200381.763533e-08
0.5515031.6199911.773413e-08
0.5522771.6199451.783307e-08
0.5530521.6198981.793215e-08
0.5538291.6198511.803137e-08
0.5546061.6198051.813072e-08
0.5553841.6197591.823022e-08
0.5561641.6197131.832985e-08
0.5569441.6196671.842963e-08
0.5577261.6196211.852954e-08
0.5585091.6195751.862960e-08
0.5592931.6195291.872980e-08
0.5600781.6194841.883013e-08
0.5608641.6194381.893061e-08
0.5616511.6193931.903123e-08
0.5624391.6193481.913199e-08
0.5632291.6193031.923289e-08
0.5640191.6192581.933393e-08
0.5648111.6192131.943512e-08
0.5656041.6191691.953644e-08
0.5663971.6191241.963791e-08
0.5671921.619081.973952e-08
0.5679881.6190351.984128e-08
0.5687861.6189911.994317e-08
0.5695841.6189472.004521e-08
0.5703831.6189032.014740e-08
0.5711841.6188592.024972e-08
0.5719861.6188152.035219e-08
0.5727881.6187722.045481e-08
0.5735921.6187282.055756e-08
0.5743971.6186852.066047e-08
0.5752041.6186422.076351e-08
0.5760111.6185992.086670e-08
0.5768191.6185562.097004e-08
0.5776291.6185132.107352e-08
0.578441.618472.117715e-08
0.5792511.6184272.128092e-08
0.5800641.6183852.138484e-08
0.5808791.6183422.148890e-08
0.5816941.61832.159311e-08
0.582511.6182582.169746e-08
0.5833281.6182152.180197e-08
0.5841471.6181732.190661e-08
0.5849661.6181322.201141e-08
0.5857871.618092.211635e-08
0.586611.6180482.222144e-08
0.5874331.6180072.232668e-08
0.5882571.6179652.243206e-08
0.5890831.6179242.253760e-08
0.589911.6178822.264328e-08
0.5907381.6178412.274911e-08
0.5915671.61782.285509e-08
0.5923971.6177592.296121e-08
0.5932291.6177192.306749e-08
0.5940611.6176782.317391e-08
0.5948951.6176372.328049e-08
0.595731.6175972.338721e-08
0.5965661.6175562.349408e-08
0.5974031.6175162.360111e-08
0.5982421.6174762.370828e-08
0.5990821.6174362.381560e-08
0.5999221.6173962.392308e-08
0.61.6173922.393300e-08
0.6007641.6173562.388406e-08
0.6016081.6173162.383008e-08
0.6024521.6172762.377603e-08
0.6032981.6172372.372189e-08
0.6041441.6171972.366768e-08
0.6049921.6171582.361340e-08
0.6058411.6171192.355904e-08
0.6066921.617082.350460e-08
0.6075431.6170412.345009e-08
0.6083961.6170022.339550e-08
0.609251.6169632.334083e-08
0.6101051.6169242.328609e-08
0.6109611.6168852.323127e-08
0.6118191.6168472.317637e-08
0.6126771.6168082.312139e-08
0.6135371.616772.306634e-08
0.6143981.6167322.301121e-08
0.6152611.6166932.295601e-08
0.6161241.6166552.290072e-08
0.6169891.6166172.284536e-08
0.6178551.6165792.278992e-08
0.6187221.6165422.273441e-08
0.6195911.6165042.267881e-08
0.620461.6164662.262314e-08
0.6213311.6164292.256739e-08
0.6222031.6163912.251156e-08
0.6230761.6163542.245565e-08
0.6239511.6163172.239967e-08
0.6248271.616282.234360e-08
0.6257041.6162432.228746e-08
0.6265821.6162062.223124e-08
0.6274611.6161692.217494e-08
0.6283421.6161322.211856e-08
0.6292241.6160952.206210e-08
0.6301071.6160592.200556e-08
0.6309911.6160222.194894e-08
0.6318771.6159862.189225e-08
0.6327641.615952.183547e-08
0.6336521.6159132.177861e-08
0.6345411.6158772.172168e-08
0.6354321.6158412.166466e-08
0.6363241.6158052.160756e-08
0.6372171.6157692.155039e-08
0.6381111.6157342.149313e-08
0.6390071.6156982.143579e-08
0.6399041.6156622.137838e-08
0.6408021.6156272.132088e-08
0.6417011.6155912.126330e-08
0.6426021.6155562.120564e-08
0.6435041.6155212.114790e-08
0.6444071.6154852.109008e-08
0.6453111.615452.103218e-08
0.6462171.6154152.097419e-08
0.6471241.615382.091613e-08
0.6480321.6153462.085798e-08
0.6489421.6153112.079975e-08
0.6498521.6152762.074144e-08
0.651.6152712.073200e-08
0.6507651.6152422.050020e-08
0.6516781.6152072.022329e-08
0.6525931.6151731.994599e-08
0.6535091.6151381.966830e-08
0.6544261.6151041.939022e-08
0.6553441.615071.911175e-08
0.6562641.6150361.883289e-08
0.6571851.6150021.855364e-08
0.6581081.6149681.827400e-08
0.6590311.6149341.799396e-08
0.6599561.61491.771353e-08
0.6608821.6148671.743271e-08
0.661811.6148331.715149e-08
0.6627391.6147991.686988e-08
0.6636691.6147661.658787e-08
0.6646011.6147331.630547e-08
0.6655331.6146991.602267e-08
0.6664671.6146661.573948e-08
0.6674031.6146331.545589e-08
0.668341.61461.517189e-08
0.6692781.6145671.488751e-08
0.6702171.6145341.460272e-08
0.6711581.6145011.431753e-08
0.67211.6144681.403194e-08
0.6730431.6144361.374595e-08
0.6739881.6144031.345956e-08
0.6749331.6143711.317277e-08
0.6758811.6143381.288557e-08
0.6768291.6143061.259797e-08
0.6777791.6142731.230997e-08
0.6787311.6142411.202156e-08
0.6796831.6142091.173275e-08
0.6806371.6141771.144354e-08
0.6815921.6141451.115391e-08
0.6825491.6141131.086388e-08
0.6835071.6140811.057345e-08
0.6844661.6140491.028261e-08
0.6854271.6140189.991354e-09
0.6863891.6139869.699693e-09
0.6873521.6139549.407623e-09
0.6883171.6139239.115143e-09
0.6892831.6138928.822253e-09
0.6902511.613868.528951e-09
0.6912191.6138298.235238e-09
0.692191.6137987.941113e-09
0.6931611.6137677.646575e-09
0.6941341.6137357.351623e-09
0.6951081.6137047.056258e-09
0.6960841.6136736.760478e-09
0.6970611.6136436.464282e-09
0.6980391.6136126.167671e-09
0.6990191.6135815.870644e-09
0.71.613555.573200e-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
—