Optical constants

Refractive index of E-SF7 (HIKARI)

E-SF7: 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
1.6398
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.68893
Permittivity ε2
7.68687e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
34.564
Chromatic dispersion dn/dλ
-0.0936458 µm⁻¹
Group index ng
1.69482
Group velocity dispersion
183.929 fs²/mm
Dispersion parameter D
-1003.43 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-SF7 (HIKARI): E-SF7
hikari_e_sf7 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SF7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sf7.range_nm)  # (400, 700) nm
eps = hikari_e_sf7.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=2.60224509−0.00228272809⁢λ2.0+0.0313239043⁢λ−2.0−0.00110981516⁢λ−4.0+0.00028447243⁢λ−6.0−1.2054467×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.60224509
C2-0.00228272809
C32.0
C40.0313239043
C5-2.0
C6-0.00110981516
C7-4.0
C80.00028447243
C9-6.0
C10-1.2054467e-05
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.639800
Vd
34.563661
glass status
preferred
density
value: 2770
thermal expansion
value: 8.6e-06, temperature range: 243 343
dPgF
0.0022

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-SF7 (HIKARI), E-SF7: n and k versus wavelength
λ (µm)nk
0.41.6749212.792800e-07
0.4005611.6747172.748802e-07
0.4011241.6745132.704743e-07
0.4016871.6743112.660621e-07
0.402251.6741092.616438e-07
0.4028151.6739082.572192e-07
0.403381.6737082.527885e-07
0.4039461.6735092.483515e-07
0.4045131.673312.439083e-07
0.4050811.6731122.394589e-07
0.405651.6729152.350032e-07
0.4062191.6727192.305413e-07
0.4067891.6725242.260731e-07
0.407361.6723292.215986e-07
0.4079321.6721352.171179e-07
0.4085041.6719422.126309e-07
0.4090781.6717492.081375e-07
0.4096521.6715582.036379e-07
0.4102271.6713671.991319e-07
0.4108031.6711771.946197e-07
0.4113791.6709871.901011e-07
0.4119571.6707981.855761e-07
0.4125351.670611.810448e-07
0.4131141.6704231.765071e-07
0.4136941.6702371.719631e-07
0.4142741.6700511.674127e-07
0.4148561.6698661.628559e-07
0.4154381.6696811.582927e-07
0.4160211.6694981.537231e-07
0.4166051.6693151.491471e-07
0.417191.6691331.445647e-07
0.4177751.6689511.399758e-07
0.4183621.668771.353805e-07
0.4189491.668591.307788e-07
0.4195371.6684111.261706e-07
0.421.668271.225400e-07
0.4201261.6682321.223272e-07
0.4207151.6680541.213280e-07
0.4213061.6678771.203273e-07
0.4218971.66771.193253e-07
0.4224891.6675241.183218e-07
0.4230821.6673491.173170e-07
0.4236761.6671741.163107e-07
0.4242711.6670011.153030e-07
0.4248661.6668271.142939e-07
0.4254621.6666551.132834e-07
0.426061.6664831.122715e-07
0.4266581.6663121.112581e-07
0.4272561.6661411.102434e-07
0.4278561.6659711.092272e-07
0.4284571.6658021.082096e-07
0.4290581.6656331.071905e-07
0.429661.6654651.061700e-07
0.4302631.6652981.051481e-07
0.4308671.6651311.041248e-07
0.4314721.6649651.031000e-07
0.4320771.6647991.020738e-07
0.4326841.6646351.010461e-07
0.4332911.6644711.000170e-07
0.4338991.6643079.898645e-08
0.4345081.6641449.795445e-08
0.4351181.6639829.692101e-08
0.4357291.663829.588611e-08
0.436341.6636599.484977e-08
0.4369531.6634999.381197e-08
0.4375661.6633399.277271e-08
0.438181.6631799.173199e-08
0.4387951.6630219.068982e-08
0.4394111.6628638.964618e-08
0.441.6627128.864800e-08
0.4400281.6627058.862248e-08
0.4406451.6625498.805343e-08
0.4412641.6623928.748359e-08
0.4418831.6622378.691294e-08
0.4425031.6620828.634149e-08
0.4431241.6619278.576924e-08
0.4437461.6617738.519619e-08
0.4443691.661628.462233e-08
0.4449931.6614678.404766e-08
0.4456171.6613158.347219e-08
0.4462431.6611648.289592e-08
0.4468691.6610138.231883e-08
0.4474961.6608628.174093e-08
0.4481241.6607128.116222e-08
0.4487531.6605638.058270e-08
0.4493831.6604148.000237e-08
0.4500141.6602667.942122e-08
0.4506451.6601187.883926e-08
0.4512781.6599717.825648e-08
0.4519111.6598257.767288e-08
0.4525461.6596797.708846e-08
0.4531811.6595337.650323e-08
0.4538171.6593887.591717e-08
0.4544541.6592447.533029e-08
0.4550921.65917.474258e-08
0.455731.6589577.415405e-08
0.456371.6588147.356469e-08
0.4570111.6586727.297451e-08
0.4576521.658537.238350e-08
0.4582941.6583897.179166e-08
0.4589381.6582487.119899e-08
0.4595821.6581087.060548e-08
0.461.6580177.022000e-08
0.4602271.6579687.003452e-08
0.4608731.6578296.950594e-08
0.4615191.6576916.897663e-08
0.4621671.6575536.844657e-08
0.4628161.6574156.791576e-08
0.4634651.6572786.738422e-08
0.4641161.6571416.685192e-08
0.4647671.6570056.631888e-08
0.465421.656876.578509e-08
0.4660731.6567356.525055e-08
0.4667271.65666.471526e-08
0.4673821.6564666.417922e-08
0.4680381.6563326.364243e-08
0.4686951.6561996.310489e-08
0.4693531.6560676.256659e-08
0.4700121.6559356.202753e-08
0.4706711.6558036.148772e-08
0.4713321.6556726.094715e-08
0.4719931.6555416.040582e-08
0.4726561.6554115.986373e-08
0.4733191.6552815.932088e-08
0.4739841.6551525.877727e-08
0.4746491.6550235.823290e-08
0.4753151.6548955.768776e-08
0.4759821.6547675.714185e-08
0.476651.6546395.659519e-08
0.4773191.6545125.604775e-08
0.4779891.6543865.549954e-08
0.478661.654265.495057e-08
0.4793321.6541345.440082e-08
0.481.654015.385400e-08
0.4800051.6540095.385087e-08
0.4806781.6538845.338383e-08
0.4813531.653765.291613e-08
0.4820281.6536365.244778e-08
0.4827051.6535135.197876e-08
0.4833821.653395.150909e-08
0.4840611.6532675.103876e-08
0.484741.6531455.056777e-08
0.4854211.6530245.009612e-08
0.4861021.6529024.962381e-08
0.4867841.6527824.915083e-08
0.4874671.6526614.867719e-08
0.4881521.6525414.820289e-08
0.4888371.6524224.772792e-08
0.4895231.6523034.725228e-08
0.490211.6521844.677598e-08
0.4908981.6520664.629901e-08
0.4915871.6519484.582136e-08
0.4922771.6518314.534305e-08
0.4929681.6517144.486407e-08
0.493661.6515974.438441e-08
0.4943531.6514814.390408e-08
0.4950461.6513664.342308e-08
0.4957411.651254.294140e-08
0.4964371.6511354.245904e-08
0.4971341.6510214.197601e-08
0.4978321.6509074.149230e-08
0.498531.6507934.100791e-08
0.499231.650684.052284e-08
0.4999311.6505674.003710e-08
0.51.6505553.998900e-08
0.5006321.6504543.976074e-08
0.5013351.6503423.950709e-08
0.5020391.650233.925307e-08
0.5027431.6501193.899870e-08
0.5034491.6500083.874397e-08
0.5041551.6498973.848889e-08
0.5048631.6497873.823345e-08
0.5055721.6496773.797765e-08
0.5062811.6495683.772149e-08
0.5069921.6494593.746497e-08
0.5077031.649353.720809e-08
0.5084161.6492423.695085e-08
0.509131.6491343.669325e-08
0.5098441.6490263.643528e-08
0.510561.6489193.617696e-08
0.5112761.6488123.591827e-08
0.5119941.6487053.565922e-08
0.5127121.6485993.539981e-08
0.5134321.6484943.514003e-08
0.5141531.6483883.487988e-08
0.5148741.6482833.461938e-08
0.5155971.6481783.435850e-08
0.5163211.6480743.409726e-08
0.5170451.647973.383566e-08
0.5177711.6478673.357368e-08
0.5184981.6477633.331134e-08
0.5192251.647663.304863e-08
0.5199541.6475583.278555e-08
0.5206841.6474563.252211e-08
0.5214151.6473543.225829e-08
0.5221471.6472523.199410e-08
0.5228791.6471513.172954e-08
0.5236131.647053.146462e-08
0.5243481.646953.119931e-08
0.5250841.646853.093364e-08
0.5258211.646753.066759e-08
0.5265591.646653.040117e-08
0.5272981.6465513.013438e-08
0.5280381.6464522.986721e-08
0.5287791.6463542.959967e-08
0.5295211.6462562.933175e-08
0.5302651.6461582.906345e-08
0.5310091.646062.879478e-08
0.5317541.6459632.852573e-08
0.5325011.6458662.825631e-08
0.5332481.645772.798650e-08
0.5339961.6456732.771632e-08
0.5347461.6455772.744576e-08
0.5354961.6454822.717482e-08
0.5362481.6453872.690349e-08
0.5370011.6452922.663179e-08
0.5377541.6451972.635971e-08
0.5385091.6451032.608724e-08
0.5392651.6450092.581439e-08
0.5400221.6449152.554116e-08
0.540781.6448222.526754e-08
0.5415391.6447282.499355e-08
0.5422991.6446362.471916e-08
0.543061.6445432.444439e-08
0.5438221.6444512.416924e-08
0.5445851.6443592.389370e-08
0.545351.6442682.361777e-08
0.5461151.6441762.334146e-08
0.5468821.6440852.306475e-08
0.5476491.6439952.278766e-08
0.5484181.6439042.251018e-08
0.5491871.6438142.223231e-08
0.5499581.6437242.195405e-08
0.551.6437192.193900e-08
0.550731.6436352.196812e-08
0.5515031.6435462.199895e-08
0.5522771.6434572.202981e-08
0.5530521.6433682.206073e-08
0.5538291.643282.209168e-08
0.5546061.6431922.212268e-08
0.5553841.6431042.215373e-08
0.5561641.6430162.218481e-08
0.5569441.6429292.221594e-08
0.5577261.6428422.224712e-08
0.5585091.6427552.227833e-08
0.5592931.6426692.230959e-08
0.5600781.6425832.234090e-08
0.5608641.6424972.237225e-08
0.5616511.6424122.240364e-08
0.5624391.6423262.243508e-08
0.5632291.6422412.246656e-08
0.5640191.6421572.249809e-08
0.5648111.6420722.252966e-08
0.5656041.6419882.256127e-08
0.5663971.6419042.259293e-08
0.5671921.641822.262463e-08
0.5679881.6417372.265638e-08
0.5687861.6416542.268817e-08
0.5695841.6415712.272001e-08
0.5703831.6414882.275189e-08
0.5711841.6414062.278381e-08
0.5719861.6413242.281578e-08
0.5727881.6412422.284780e-08
0.5735921.641162.287986e-08
0.5743971.6410792.291197e-08
0.5752041.6409982.294412e-08
0.5760111.6409172.297631e-08
0.5768191.6408372.300855e-08
0.5776291.6407562.304084e-08
0.578441.6406762.307317e-08
0.5792511.6405962.310555e-08
0.5800641.6405172.313797e-08
0.5808791.6404382.317044e-08
0.5816941.6403592.320295e-08
0.582511.640282.323551e-08
0.5833281.6402012.326811e-08
0.5841471.6401232.330077e-08
0.5849661.6400452.333346e-08
0.5857871.6399672.336620e-08
0.586611.6398892.339899e-08
0.5874331.6398122.343183e-08
0.5882571.6397352.346471e-08
0.5890831.6396582.349763e-08
0.589911.6395812.353061e-08
0.5907381.6395052.356362e-08
0.5915671.6394292.359669e-08
0.5923971.6393532.362980e-08
0.5932291.6392772.366296e-08
0.5940611.6392022.369616e-08
0.5948951.6391272.372941e-08
0.595731.6390522.376271e-08
0.5965661.6389772.379606e-08
0.5974031.6389022.382945e-08
0.5982421.6388282.386289e-08
0.5990821.6387542.389637e-08
0.5999221.638682.392990e-08
0.61.6386732.393300e-08
0.6007641.6386072.420228e-08
0.6016081.6385332.449932e-08
0.6024521.638462.479678e-08
0.6032981.6383872.509465e-08
0.6041441.6383142.539294e-08
0.6049921.6382422.569165e-08
0.6058411.6381692.599078e-08
0.6066921.6380972.629033e-08
0.6075431.6380262.659030e-08
0.6083961.6379542.689069e-08
0.609251.6378822.719151e-08
0.6101051.6378112.749274e-08
0.6109611.637742.779440e-08
0.6118191.637672.809648e-08
0.6126771.6375992.839898e-08
0.6135371.6375292.870191e-08
0.6143981.6374582.900527e-08
0.6152611.6373892.930905e-08
0.6161241.6373192.961325e-08
0.6169891.6372492.991789e-08
0.6178551.637183.022295e-08
0.6187221.6371113.052844e-08
0.6195911.6370423.083436e-08
0.620461.6369733.114070e-08
0.6213311.6369053.144748e-08
0.6222031.6368373.175469e-08
0.6230761.6367693.206233e-08
0.6239511.6367013.237040e-08
0.6248271.6366333.267890e-08
0.6257041.6365663.298784e-08
0.6265821.6364983.329721e-08
0.6274611.6364313.360701e-08
0.6283421.6363653.391725e-08
0.6292241.6362983.422793e-08
0.6301071.6362313.453904e-08
0.6309911.6361653.485059e-08
0.6318771.6360993.516257e-08
0.6327641.6360333.547499e-08
0.6336521.6359683.578785e-08
0.6345411.6359023.610115e-08
0.6354321.6358373.641489e-08
0.6363241.6357723.672907e-08
0.6372171.6357073.704369e-08
0.6381111.6356423.735876e-08
0.6390071.6355783.767426e-08
0.6399041.6355133.799021e-08
0.6408021.6354493.830660e-08
0.6417011.6353853.862344e-08
0.6426021.6353213.894071e-08
0.6435041.6352583.925844e-08
0.6444071.6351943.957661e-08
0.6453111.6351313.989523e-08
0.6462171.6350684.021429e-08
0.6471241.6350054.053381e-08
0.6480321.6349434.085377e-08
0.6489421.634884.117418e-08
0.6498521.6348184.149504e-08
0.651.6348084.154700e-08
0.6507651.6347564.151004e-08
0.6516781.6346944.146589e-08
0.6525931.6346324.142167e-08
0.6535091.634574.137740e-08
0.6544261.6345094.133306e-08
0.6553441.6344484.128866e-08
0.6562641.6343874.124420e-08
0.6571851.6343264.119967e-08
0.6581081.6342654.115508e-08
0.6590311.6342054.111043e-08
0.6599561.6341444.106572e-08
0.6608821.6340844.102094e-08
0.661811.6340244.097610e-08
0.6627391.6339644.093120e-08
0.6636691.6339054.088624e-08
0.6646011.6338454.084121e-08
0.6655331.6337864.079612e-08
0.6664671.6337274.075097e-08
0.6674031.6336684.070575e-08
0.668341.6336094.066047e-08
0.6692781.633554.061512e-08
0.6702171.6334924.056971e-08
0.6711581.6334344.052424e-08
0.67211.6333764.047871e-08
0.6730431.6333184.043311e-08
0.6739881.633264.038744e-08
0.6749331.6332024.034172e-08
0.6758811.6331454.029592e-08
0.6768291.6330874.025007e-08
0.6777791.633034.020415e-08
0.6787311.6329734.015816e-08
0.6796831.6329164.011211e-08
0.6806371.632864.006600e-08
0.6815921.6328034.001982e-08
0.6825491.6327473.997358e-08
0.6835071.6326913.992727e-08
0.6844661.6326353.988089e-08
0.6854271.6325793.983445e-08
0.6863891.6325233.978795e-08
0.6873521.6324683.974138e-08
0.6883171.6324123.969475e-08
0.6892831.6323573.964805e-08
0.6902511.6323023.960128e-08
0.6912191.6322473.955445e-08
0.692191.6321923.950755e-08
0.6931611.6321383.946059e-08
0.6941341.6320833.941356e-08
0.6951081.6320293.936647e-08
0.6960841.6319753.931931e-08
0.6970611.6319213.927208e-08
0.6980391.6318673.922479e-08
0.6990191.6318133.917743e-08
0.71.631763.913000e-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
—