Optical constants

Refractive index of E-KZFH1 (HIKARI)

E-KZFH1: 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
1.61266
Extinction coefficient k
2.45299e-08
Permittivity ε1
2.60066
Permittivity ε2
7.91168e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
44.461
Chromatic dispersion dn/dλ
-0.0705339 µm⁻¹
Group index ng
1.6541
Group velocity dispersion
129.183 fs²/mm
Dispersion parameter D
-704.764 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-KZFH1 (HIKARI): E-KZFH1
hikari_e_kzfh1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-KZFH1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_kzfh1.range_nm)  # (400, 700) nm
eps = hikari_e_kzfh1.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=2.54662904−0.0122972332⁢λ2.0+0.0187464623⁢λ−2.0+0.000460296583⁢λ−4.0+7.85351066×10-7⁢λ−6.0+1.72720972×10-6⁢λ−8.0−0.000133476806⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.54662904
C2-0.0122972332
C32.0
C40.0187464623
C5-2.0
C60.000460296583
C7-4.0
C87.85351066e-07
C9-6.0
C101.72720972e-06
C11-8.0
C12-0.000133476806
C134.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.612660
Vd
44.461379
glass status
preferred
density
value: 2800
thermal expansion
value: 7.3e-06, temperature range: 243 343
dPgF
-0.005

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-KZFH1 (HIKARI), E-KZFH1: n and k versus wavelength
λ (µm)nk
0.41.6378745.457800e-08
0.4005611.6377325.427360e-08
0.4011241.637595.396878e-08
0.4016871.6374495.366353e-08
0.402251.6373095.335784e-08
0.4028151.6371695.305173e-08
0.403381.637035.274519e-08
0.4039461.6368915.243822e-08
0.4045131.6367525.213082e-08
0.4050811.6366155.182299e-08
0.405651.6364775.151473e-08
0.4062191.636345.120603e-08
0.4067891.6362045.089690e-08
0.407361.6360685.058734e-08
0.4079321.6359335.027734e-08
0.4085041.6357984.996690e-08
0.4090781.6356644.965603e-08
0.4096521.635534.934473e-08
0.4102271.6353974.903299e-08
0.4108031.6352644.872081e-08
0.4113791.6351324.840819e-08
0.4119571.6354.809513e-08
0.4125351.6348694.778163e-08
0.4131141.6347384.746770e-08
0.4136941.6346084.715332e-08
0.4142741.6344784.683850e-08
0.4148561.6343494.652324e-08
0.4154381.634224.620754e-08
0.4160211.6340914.589139e-08
0.4166051.6339634.557480e-08
0.417191.6338364.525777e-08
0.4177751.6337094.494029e-08
0.4183621.6335824.462237e-08
0.4189491.6334564.430400e-08
0.4195371.6333314.398518e-08
0.421.6332324.373400e-08
0.4201261.6332064.370258e-08
0.4207151.6330814.355501e-08
0.4213061.6329574.340724e-08
0.4218971.6328334.325927e-08
0.4224891.6327094.311108e-08
0.4230821.6325874.296269e-08
0.4236761.6324644.281409e-08
0.4242711.6323424.266528e-08
0.4248661.632224.251626e-08
0.4254621.6320994.236704e-08
0.426061.6319794.221760e-08
0.4266581.6318584.206795e-08
0.4272561.6317384.191810e-08
0.4278561.6316194.176803e-08
0.4284571.63154.161775e-08
0.4290581.6313814.146726e-08
0.429661.6312634.131656e-08
0.4302631.6311464.116565e-08
0.4308671.6310284.101453e-08
0.4314721.6309114.086320e-08
0.4320771.6307954.071165e-08
0.4326841.6306794.055989e-08
0.4332911.6305634.040792e-08
0.4338991.6304484.025573e-08
0.4345081.6303334.010333e-08
0.4351181.6302193.995072e-08
0.4357291.6301053.979789e-08
0.436341.6299913.964485e-08
0.4369531.6298783.949159e-08
0.4375661.6297653.933812e-08
0.438181.6296533.918443e-08
0.4387951.6295413.903053e-08
0.4394111.6294293.887641e-08
0.441.6293233.872900e-08
0.4400281.6293183.872120e-08
0.4406451.6292073.854719e-08
0.4412641.6290963.837294e-08
0.4418831.6289863.819844e-08
0.4425031.6288773.802370e-08
0.4431241.6287673.784872e-08
0.4437461.6286583.767349e-08
0.4443691.628553.749801e-08
0.4449931.6284423.732229e-08
0.4456171.6283343.714632e-08
0.4462431.6282263.697010e-08
0.4468691.6281193.679364e-08
0.4474961.6280133.661692e-08
0.4481241.6279063.643996e-08
0.4487531.62783.626276e-08
0.4493831.6276953.608530e-08
0.4500141.627593.590759e-08
0.4506451.6274853.572964e-08
0.4512781.627383.555143e-08
0.4519111.6272763.537298e-08
0.4525461.6271723.519427e-08
0.4531811.6270693.501531e-08
0.4538171.6269663.483611e-08
0.4544541.6268633.465665e-08
0.4550921.6267613.447694e-08
0.455731.6266593.429697e-08
0.456371.6265573.411676e-08
0.4570111.6264553.393629e-08
0.4576521.6263543.375556e-08
0.4582941.6262543.357459e-08
0.4589381.6261533.339336e-08
0.4595821.6260533.321187e-08
0.461.6259893.309400e-08
0.4602271.6259543.306665e-08
0.4608731.6258553.298872e-08
0.4615191.6257563.291068e-08
0.4621671.6256573.283253e-08
0.4628161.6255593.275426e-08
0.4634651.6254613.267589e-08
0.4641161.6253633.259741e-08
0.4647671.6252663.251882e-08
0.465421.6251693.244012e-08
0.4660731.6250723.236131e-08
0.4667271.6249763.228238e-08
0.4673821.624883.220335e-08
0.4680381.6247843.212420e-08
0.4686951.6246883.204495e-08
0.4693531.6245933.196558e-08
0.4700121.6244993.188610e-08
0.4706711.6244043.180651e-08
0.4713321.624313.172681e-08
0.4719931.6242163.164700e-08
0.4726561.6241233.156707e-08
0.4733191.624033.148704e-08
0.4739841.6239373.140689e-08
0.4746491.6238443.132662e-08
0.4753151.6237523.124625e-08
0.4759821.623663.116576e-08
0.476651.6235683.108516e-08
0.4773191.6234773.100445e-08
0.4779891.6233863.092362e-08
0.478661.6232953.084268e-08
0.4793321.6232043.076162e-08
0.481.6231153.068100e-08
0.4800051.6231143.067948e-08
0.4806781.6230243.045258e-08
0.4813531.6229353.022536e-08
0.4820281.6228452.999782e-08
0.4827051.6227562.976996e-08
0.4833821.6226682.954178e-08
0.4840611.6225792.931328e-08
0.484741.6224912.908446e-08
0.4854211.6224032.885532e-08
0.4861021.6223162.862586e-08
0.4867841.6222282.839607e-08
0.4874671.6221412.816596e-08
0.4881521.6220552.793553e-08
0.4888371.6219682.770478e-08
0.4895231.6218822.747370e-08
0.490211.6217962.724230e-08
0.4908981.621712.701057e-08
0.4915871.6216252.677852e-08
0.4922771.621542.654615e-08
0.4929681.6214552.631344e-08
0.493661.6213712.608041e-08
0.4943531.6212862.584705e-08
0.4950461.6212022.561337e-08
0.4957411.6211192.537936e-08
0.4964371.6210352.514502e-08
0.4971341.6209522.491035e-08
0.4978321.6208692.467535e-08
0.498531.6207872.444002e-08
0.499231.6207042.420436e-08
0.4999311.6206222.396837e-08
0.51.6206142.394500e-08
0.5006321.620542.397529e-08
0.5013351.6204592.400894e-08
0.5020391.6203772.404265e-08
0.5027431.6202962.407640e-08
0.5034491.6202152.411020e-08
0.5041551.6201352.414405e-08
0.5048631.6200542.417794e-08
0.5055721.6199742.421188e-08
0.5062811.6198942.424587e-08
0.5069921.6198152.427991e-08
0.5077031.6197352.431399e-08
0.5084161.6196562.434812e-08
0.509131.6195782.438230e-08
0.5098441.6194992.441653e-08
0.510561.6194212.445081e-08
0.5112761.6193432.448513e-08
0.5119941.6192652.451951e-08
0.5127121.6191872.455393e-08
0.5134321.619112.458840e-08
0.5141531.6190332.462291e-08
0.5148741.6189562.465748e-08
0.5155971.6188792.469209e-08
0.5163211.6188032.472676e-08
0.5170451.6187262.476147e-08
0.5177711.618652.479623e-08
0.5184981.6185752.483104e-08
0.5192251.6184992.486590e-08
0.5199541.6184242.490080e-08
0.5206841.6183492.493576e-08
0.5214151.6182742.497076e-08
0.5221471.61822.500582e-08
0.5228791.6181252.504092e-08
0.5236131.6180512.507607e-08
0.5243481.6179772.511128e-08
0.5250841.6179042.514653e-08
0.5258211.617832.518183e-08
0.5265591.6177572.521718e-08
0.5272981.6176842.525258e-08
0.5280381.6176112.528803e-08
0.5287791.6175392.532353e-08
0.5295211.6174672.535908e-08
0.5302651.6173942.539468e-08
0.5310091.6173232.543033e-08
0.5317541.6172512.546603e-08
0.5325011.617182.550178e-08
0.5332481.6171082.553758e-08
0.5339961.6170372.557342e-08
0.5347461.6169662.560932e-08
0.5354961.6168962.564528e-08
0.5362481.6168262.568128e-08
0.5370011.6167552.571733e-08
0.5377541.6166852.575343e-08
0.5385091.6166162.578958e-08
0.5392651.6165462.582579e-08
0.5400221.6164772.586204e-08
0.540781.6164082.589835e-08
0.5415391.6163392.593470e-08
0.5422991.616272.597111e-08
0.543061.6162022.600757e-08
0.5438221.6161332.604408e-08
0.5445851.6160652.608064e-08
0.545351.6159972.611725e-08
0.5461151.615932.615391e-08
0.5468821.6158622.619063e-08
0.5476491.6157952.622739e-08
0.5484181.6157282.626421e-08
0.5491871.6156612.630108e-08
0.5499581.6155942.633800e-08
0.551.6155912.634000e-08
0.550731.6155282.630485e-08
0.5515031.6154622.626764e-08
0.5522771.6153962.623038e-08
0.5530521.615332.619306e-08
0.5538291.6152642.615569e-08
0.5546061.6151982.611827e-08
0.5553841.6151332.608080e-08
0.5561641.6150682.604328e-08
0.5569441.6150032.600570e-08
0.5577261.6149382.596807e-08
0.5585091.6148742.593038e-08
0.5592931.6148092.589265e-08
0.5600781.6147452.585486e-08
0.5608641.6146812.581702e-08
0.5616511.6146172.577912e-08
0.5624391.6145542.574117e-08
0.5632291.614492.570317e-08
0.5640191.6144272.566512e-08
0.5648111.6143642.562701e-08
0.5656041.6143012.558885e-08
0.5663971.6142382.555063e-08
0.5671921.6141762.551236e-08
0.5679881.6141132.547404e-08
0.5687861.6140512.543566e-08
0.5695841.6139892.539723e-08
0.5703831.6139272.535875e-08
0.5711841.6138662.532021e-08
0.5719861.6138042.528162e-08
0.5727881.6137432.524297e-08
0.5735921.6136822.520427e-08
0.5743971.6136212.516551e-08
0.5752041.613562.512670e-08
0.5760111.61352.508784e-08
0.5768191.6134392.504892e-08
0.5776291.6133792.500995e-08
0.578441.6133192.497092e-08
0.5792511.6132592.493184e-08
0.5800641.6131992.489270e-08
0.5808791.613142.485351e-08
0.5816941.613082.481426e-08
0.582511.6130212.477496e-08
0.5833281.6129622.473560e-08
0.5841471.6129032.469618e-08
0.5849661.6128442.465672e-08
0.5857871.6127862.461719e-08
0.586611.6127272.457761e-08
0.5874331.6126692.453798e-08
0.5882571.6126112.449829e-08
0.5890831.6125532.445854e-08
0.589911.6124952.441874e-08
0.5907381.6124382.437888e-08
0.5915671.612382.433897e-08
0.5923971.6123232.429900e-08
0.5932291.6122662.425897e-08
0.5940611.6122092.421889e-08
0.5948951.6121522.417875e-08
0.595731.6120952.413856e-08
0.5965661.6120392.409831e-08
0.5974031.6119832.405800e-08
0.5982421.6119262.401763e-08
0.5990821.611872.397721e-08
0.5999221.6118152.393674e-08
0.61.6118092.393300e-08
0.6007641.6117592.396350e-08
0.6016081.6117032.399714e-08
0.6024521.6116482.403083e-08
0.6032981.6115932.406457e-08
0.6041441.6115382.409836e-08
0.6049921.6114832.413219e-08
0.6058411.6114282.416607e-08
0.6066921.6113732.420000e-08
0.6075431.6113192.423397e-08
0.6083961.6112642.426799e-08
0.609251.611212.430207e-08
0.6101051.6111562.433618e-08
0.6109611.6111022.437035e-08
0.6118191.6110482.440456e-08
0.6126771.6109952.443883e-08
0.6135371.6109412.447314e-08
0.6143981.6108882.450750e-08
0.6152611.6108352.454190e-08
0.6161241.6107812.457636e-08
0.6169891.6107292.461086e-08
0.6178551.6106762.464541e-08
0.6187221.6106232.468001e-08
0.6195911.6105712.471466e-08
0.620461.6105182.474936e-08
0.6213311.6104662.478411e-08
0.6222031.6104142.481890e-08
0.6230761.6103622.485375e-08
0.6239511.610312.488864e-08
0.6248271.6102592.492358e-08
0.6257041.6102072.495857e-08
0.6265821.6101562.499361e-08
0.6274611.6101042.502870e-08
0.6283421.6100532.506384e-08
0.6292241.6100022.509903e-08
0.6301071.6099512.513426e-08
0.6309911.6099012.516955e-08
0.6318771.609852.520489e-08
0.6327641.60982.524027e-08
0.6336521.6097492.527571e-08
0.6345411.6096992.531119e-08
0.6354321.6096492.534673e-08
0.6363241.6095992.538231e-08
0.6372171.6095492.541795e-08
0.6381111.60952.545363e-08
0.6390071.609452.548937e-08
0.6399041.6094012.552515e-08
0.6408021.6093512.556099e-08
0.6417011.6093022.559687e-08
0.6426021.6092532.563281e-08
0.6435041.6092042.566879e-08
0.6444071.6091562.570483e-08
0.6453111.6091072.574092e-08
0.6462171.6090582.577705e-08
0.6471241.609012.581324e-08
0.6480321.6089622.584948e-08
0.6489421.6089142.588577e-08
0.6498521.6088652.592211e-08
0.651.6088582.592800e-08
0.6507651.6088182.587292e-08
0.6516781.608772.580712e-08
0.6525931.6087222.574123e-08
0.6535091.6086752.567525e-08
0.6544261.6086272.560917e-08
0.6553441.608582.554300e-08
0.6562641.6085332.547674e-08
0.6571851.6084852.541038e-08
0.6581081.6084392.534393e-08
0.6590311.6083922.527739e-08
0.6599561.6083452.521076e-08
0.6608821.6082982.514403e-08
0.661811.6082522.507721e-08
0.6627391.6082052.501029e-08
0.6636691.6081592.494328e-08
0.6646011.6081132.487618e-08
0.6655331.6080672.480898e-08
0.6664671.6080212.474169e-08
0.6674031.6079752.467430e-08
0.668341.607932.460682e-08
0.6692781.6078842.453924e-08
0.6702171.6078382.447157e-08
0.6711581.6077932.440381e-08
0.67211.6077482.433595e-08
0.6730431.6077032.426799e-08
0.6739881.6076582.419994e-08
0.6749331.6076132.413179e-08
0.6758811.6075682.406355e-08
0.6768291.6075232.399521e-08
0.6777791.6074792.392678e-08
0.6787311.6074342.385825e-08
0.6796831.607392.378962e-08
0.6806371.6073452.372090e-08
0.6815921.6073012.365208e-08
0.6825491.6072572.358316e-08
0.6835071.6072132.351415e-08
0.6844661.6071692.344504e-08
0.6854271.6071262.337583e-08
0.6863891.6070822.330653e-08
0.6873521.6070382.323713e-08
0.6883171.6069952.316763e-08
0.6892831.6069522.309803e-08
0.6902511.6069082.302834e-08
0.6912191.6068652.295855e-08
0.692191.6068222.288866e-08
0.6931611.6067792.281867e-08
0.6941341.6067372.274858e-08
0.6951081.6066942.267840e-08
0.6960841.6066512.260812e-08
0.6970611.6066092.253774e-08
0.6980391.6065662.246726e-08
0.6990191.6065242.239668e-08
0.71.6064822.232600e-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
—