Optical constants

Refractive index of KZFS4 (HIKARI)

KZFS4: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
293 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
1.6134
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.60305
Permittivity ε2
1.50959e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
44.292
Chromatic dispersion dn/dλ
-0.0709855 µm⁻¹
Group index ng
1.65511
Group velocity dispersion
129.303 fs²/mm
Dispersion parameter D
-705.417 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

# KZFS4 (HIKARI): KZFS4
hikari_kzfs4 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "KZFS4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_kzfs4.range_nm)  # (400, 700) nm
eps = hikari_kzfs4.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=2.554362−0.0165228⁢λ2.0+0.01560256⁢λ−2.0+0.001407955⁢λ−4.0−0.0001318867⁢λ−6.0+8.507447×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.554362
C2-0.0165228
C32.0
C40.01560256
C5-2.0
C60.001407955
C7-4.0
C8-0.0001318867
C9-6.0
C108.507447e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.613400
Vd
44.291828
glass code
613443
glass status
preferred
density
value: 3200
thermal expansion
value: 5.4e-06, temperature range: 243 343
dPgF
-0.0097

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
KZFS4 (HIKARI), KZFS4: n and k versus wavelength
λ (µm)nk
0.41.6386027.732600e-08
0.4005611.638467.600359e-08
0.4011241.6383197.467933e-08
0.4016871.6381797.335321e-08
0.402251.6380397.202523e-08
0.4028151.63797.069538e-08
0.403381.6377616.936367e-08
0.4039461.6376236.803009e-08
0.4045131.6374866.669464e-08
0.4050811.6373486.535731e-08
0.405651.6372126.401811e-08
0.4062191.6370766.267702e-08
0.4067891.636946.133406e-08
0.407361.6368055.998921e-08
0.4079321.6366715.864247e-08
0.4085041.6365375.729384e-08
0.4090781.6364035.594332e-08
0.4096521.636275.459090e-08
0.4102271.6361375.323658e-08
0.4108031.6360055.188037e-08
0.4113791.6358745.052225e-08
0.4119571.6357434.916222e-08
0.4125351.6356124.780029e-08
0.4131141.6354824.643644e-08
0.4136941.6353524.507068e-08
0.4142741.6352234.370301e-08
0.4148561.6350954.233341e-08
0.4154381.6349664.096189e-08
0.4160211.6348393.958845e-08
0.4166051.6347113.821307e-08
0.417191.6345853.683577e-08
0.4177751.6344583.545654e-08
0.4183621.6343323.407537e-08
0.4189491.6342073.269226e-08
0.4195371.6340823.130721e-08
0.421.6339843.021600e-08
0.4201261.6339573.013648e-08
0.4207151.6338332.976308e-08
0.4213061.633712.938915e-08
0.4218971.6335872.901470e-08
0.4224891.6334642.863973e-08
0.4230821.6333412.826423e-08
0.4236761.633222.788820e-08
0.4242711.6330982.751164e-08
0.4248661.6329772.713455e-08
0.4254621.6328572.675694e-08
0.426061.6327372.637879e-08
0.4266581.6326172.600012e-08
0.4272561.6324982.562091e-08
0.4278561.6323792.524117e-08
0.4284571.632262.486090e-08
0.4290581.6321422.448009e-08
0.429661.6320252.409875e-08
0.4302631.6319072.371688e-08
0.4308671.6317912.333447e-08
0.4314721.6316742.295152e-08
0.4320771.6315582.256803e-08
0.4326841.6314432.218401e-08
0.4332911.6313282.179945e-08
0.4338991.6312132.141434e-08
0.4345081.6310982.102870e-08
0.4351181.6309852.064252e-08
0.4357291.6308712.025579e-08
0.436341.6307581.986852e-08
0.4369531.6306451.948071e-08
0.4375661.6305331.909235e-08
0.438181.6304211.870345e-08
0.4387951.6303091.831400e-08
0.4394111.6301981.792401e-08
0.441.6300921.755100e-08
0.4400281.6300871.753177e-08
0.4406451.6299771.710289e-08
0.4412641.6298661.667342e-08
0.4418831.6297571.624334e-08
0.4425031.6296471.581266e-08
0.4431241.6295391.538137e-08
0.4437461.629431.494948e-08
0.4443691.6293221.451698e-08
0.4449931.6292141.408387e-08
0.4456171.6291061.365016e-08
0.4462431.6289991.321584e-08
0.4468691.6288931.278090e-08
0.4474961.6287861.234536e-08
0.4481241.628681.190921e-08
0.4487531.6285741.147244e-08
0.4493831.6284691.103506e-08
0.4500141.6283641.059707e-08
0.4506451.628261.015846e-08
0.4512781.6281559.719240e-09
0.4519111.6280519.279400e-09
0.4525461.6279488.838944e-09
0.4531811.6278458.397869e-09
0.4538171.6277427.956174e-09
0.4544541.6276397.513860e-09
0.4550921.6275377.070926e-09
0.455731.6274356.627369e-09
0.456371.6273346.183190e-09
0.4570111.6272335.738387e-09
0.4576521.6271325.292961e-09
0.4582941.6270314.846909e-09
0.4589381.6269314.400231e-09
0.4595821.6268313.952926e-09
0.461.6267673.662400e-09
0.4602271.6267323.664204e-09
0.4608731.6266333.669346e-09
0.4615191.6265343.674495e-09
0.4621671.6264353.679651e-09
0.4628161.6263373.684814e-09
0.4634651.6262393.689985e-09
0.4641161.6261423.695163e-09
0.4647671.6260453.700348e-09
0.465421.6259483.705541e-09
0.4660731.6258513.710740e-09
0.4667271.6257553.715947e-09
0.4673821.6256593.721162e-09
0.4680381.6255633.726383e-09
0.4686951.6254683.731612e-09
0.4693531.6253733.736848e-09
0.4700121.6252783.742092e-09
0.4706711.6251843.747343e-09
0.4713321.625093.752602e-09
0.4719931.6249963.757867e-09
0.4726561.6249033.763140e-09
0.4733191.6248093.768421e-09
0.4739841.6247163.773709e-09
0.4746491.6246243.779004e-09
0.4753151.6245323.784307e-09
0.4759821.624443.789617e-09
0.476651.6243483.794935e-09
0.4773191.6242573.800260e-09
0.4779891.6241653.805593e-09
0.478661.6240753.810933e-09
0.4793321.6239843.816281e-09
0.481.6238953.821600e-09
0.4800051.6238943.821636e-09
0.4806781.6238043.827002e-09
0.4813531.6237143.832376e-09
0.4820281.6236253.837757e-09
0.4827051.6235363.843145e-09
0.4833821.6234473.848541e-09
0.4840611.6233593.853945e-09
0.484741.623273.859357e-09
0.4854211.6231823.864776e-09
0.4861021.6230953.870202e-09
0.4867841.6230073.875636e-09
0.4874671.622923.881078e-09
0.4881521.6228333.886528e-09
0.4888371.6227473.891985e-09
0.4895231.6226613.897450e-09
0.490211.6225753.902922e-09
0.4908981.6224893.908402e-09
0.4915871.6224033.913890e-09
0.4922771.6223183.919385e-09
0.4929681.6222333.924889e-09
0.493661.6221483.930400e-09
0.4943531.6220643.935918e-09
0.4950461.621983.941445e-09
0.4957411.6218963.946979e-09
0.4964371.6218123.952521e-09
0.4971341.6217293.958071e-09
0.4978321.6216463.963628e-09
0.498531.6215633.969193e-09
0.499231.6214813.974766e-09
0.4999311.6213983.980347e-09
0.51.621393.980900e-09
0.5006321.6213163.985934e-09
0.5013351.6212343.991529e-09
0.5020391.6211533.997131e-09
0.5027431.6210724.002741e-09
0.5034491.6209914.008360e-09
0.5041551.620914.013986e-09
0.5048631.6208294.019619e-09
0.5055721.6207494.025261e-09
0.5062811.6206694.030911e-09
0.5069921.6205894.036569e-09
0.5077031.6205094.042234e-09
0.5084161.620434.047908e-09
0.509131.6203514.053589e-09
0.5098441.6202724.059279e-09
0.510561.6201944.064976e-09
0.5112761.6201154.070682e-09
0.5119941.6200374.076395e-09
0.5127121.6199594.082117e-09
0.5134321.6198824.087846e-09
0.5141531.6198044.093584e-09
0.5148741.6197274.099329e-09
0.5155971.619654.105083e-09
0.5163211.6195744.110845e-09
0.5170451.6194974.116614e-09
0.5177711.6194214.122392e-09
0.5184981.6193454.128178e-09
0.5192251.6192694.133973e-09
0.5199541.6191944.139775e-09
0.5206841.6191184.145585e-09
0.5214151.6190434.151404e-09
0.5221471.6189694.157231e-09
0.5228791.6188944.163066e-09
0.5236131.618824.168909e-09
0.5243481.6187454.174760e-09
0.5250841.6186714.180620e-09
0.5258211.6185984.186487e-09
0.5265591.6185244.192363e-09
0.5272981.6184514.198248e-09
0.5280381.6183784.204140e-09
0.5287791.6183054.210041e-09
0.5295211.6182324.215950e-09
0.5302651.618164.221867e-09
0.5310091.6180884.227793e-09
0.5317541.6180164.233727e-09
0.5325011.6179444.239669e-09
0.5332481.6178734.245620e-09
0.5339961.6178014.251579e-09
0.5347461.617734.257546e-09
0.5354961.6176594.263522e-09
0.5362481.6175894.269506e-09
0.5370011.6175184.275499e-09
0.5377541.6174484.281500e-09
0.5385091.6173784.287509e-09
0.5392651.6173084.293527e-09
0.5400221.6172384.299553e-09
0.540781.6171694.305588e-09
0.5415391.61714.311631e-09
0.5422991.6170314.317682e-09
0.543061.6169624.323743e-09
0.5438221.6168934.329811e-09
0.5445851.6168254.335888e-09
0.545351.6167574.341974e-09
0.5461151.6166894.348068e-09
0.5468821.6166214.354171e-09
0.5476491.6165534.360282e-09
0.5484181.6164864.366402e-09
0.5491871.6164194.372531e-09
0.5499581.6163514.378668e-09
0.551.6163484.379000e-09
0.550731.6162854.384812e-09
0.5515031.6162184.390965e-09
0.5522771.6161524.397126e-09
0.5530521.6160854.403297e-09
0.5538291.6160194.409475e-09
0.5546061.6159534.415663e-09
0.5553841.6158884.421859e-09
0.5561641.6158224.428064e-09
0.5569441.6157574.434277e-09
0.5577261.6156924.440499e-09
0.5585091.6156274.446730e-09
0.5592931.6155624.452970e-09
0.5600781.6154984.459219e-09
0.5608641.6154334.465476e-09
0.5616511.6153694.471742e-09
0.5624391.6153054.478017e-09
0.5632291.6152414.484300e-09
0.5640191.6151784.490593e-09
0.5648111.6151144.496894e-09
0.5656041.6150514.503204e-09
0.5663971.6149884.509523e-09
0.5671921.6149254.515851e-09
0.5679881.6148624.522188e-09
0.5687861.61484.528533e-09
0.5695841.6147374.534888e-09
0.5703831.6146754.541251e-09
0.5711841.6146134.547624e-09
0.5719861.6145514.554005e-09
0.5727881.614494.560395e-09
0.5735921.6144284.566795e-09
0.5743971.6143674.573203e-09
0.5752041.6143064.579620e-09
0.5760111.6142454.586046e-09
0.5768191.6141844.592481e-09
0.5776291.6141234.598926e-09
0.578441.6140634.605379e-09
0.5792511.6140034.611841e-09
0.5800641.6139434.618313e-09
0.5808791.6138834.624793e-09
0.5816941.6138234.631283e-09
0.582511.6137634.637782e-09
0.5833281.6137044.644290e-09
0.5841471.6136454.650807e-09
0.5849661.6135864.657333e-09
0.5857871.6135274.663868e-09
0.586611.6134684.670413e-09
0.5874331.6134094.676966e-09
0.5882571.6133514.683529e-09
0.5890831.6132924.690101e-09
0.589911.6132344.696682e-09
0.5907381.6131764.703273e-09
0.5915671.6131194.709873e-09
0.5923971.6130614.716482e-09
0.5932291.6130034.723100e-09
0.5940611.6129464.729728e-09
0.5948951.6128894.736365e-09
0.595731.6128324.743011e-09
0.5965661.6127754.749666e-09
0.5974031.6127184.756331e-09
0.5982421.6126624.763006e-09
0.5990821.6126054.769689e-09
0.5999221.6125494.776382e-09
0.61.6125444.777000e-09
0.6007641.6124934.783086e-09
0.6016081.6124374.789800e-09
0.6024521.6123814.796523e-09
0.6032981.6123264.803255e-09
0.6041441.612274.809997e-09
0.6049921.6122154.816748e-09
0.6058411.612164.823509e-09
0.6066921.6121054.830279e-09
0.6075431.612054.837059e-09
0.6083961.6119954.843848e-09
0.609251.611944.850647e-09
0.6101051.6118864.857455e-09
0.6109611.6118324.864273e-09
0.6118191.6117774.871100e-09
0.6126771.6117234.877937e-09
0.6135371.611674.884784e-09
0.6143981.6116164.891640e-09
0.6152611.6115624.898506e-09
0.6161241.6115094.905381e-09
0.6169891.6114564.912266e-09
0.6178551.6114024.919161e-09
0.6187221.6113494.926066e-09
0.6195911.6112964.932980e-09
0.620461.6112444.939904e-09
0.6213311.6111914.946837e-09
0.6222031.6111394.953781e-09
0.6230761.6110864.960734e-09
0.6239511.6110344.967697e-09
0.6248271.6109824.974669e-09
0.6257041.610934.981652e-09
0.6265821.6108784.988644e-09
0.6274611.6108274.995646e-09
0.6283421.6107755.002658e-09
0.6292241.6107245.009679e-09
0.6301071.6106735.016711e-09
0.6309911.6106225.023752e-09
0.6318771.6105715.030803e-09
0.6327641.610525.037865e-09
0.6336521.6104695.044936e-09
0.6345411.6104185.052017e-09
0.6354321.6103685.059108e-09
0.6363241.6103185.066208e-09
0.6372171.6102675.073319e-09
0.6381111.6102175.080440e-09
0.6390071.6101675.087571e-09
0.6399041.6101185.094712e-09
0.6408021.6100685.101863e-09
0.6417011.6100185.109024e-09
0.6426021.6099695.116194e-09
0.6435041.609925.123375e-09
0.6444071.609875.130567e-09
0.6453111.6098215.137768e-09
0.6462171.6097725.144979e-09
0.6471241.6097245.152200e-09
0.6480321.6096755.159432e-09
0.6489421.6096265.166674e-09
0.6498521.6095785.173926e-09
0.651.609575.175100e-09
0.6507651.609535.104483e-09
0.6516781.6094815.020124e-09
0.6525931.6094334.935646e-09
0.6535091.6093854.851050e-09
0.6544261.6093384.766335e-09
0.6553441.609294.681501e-09
0.6562641.6092424.596548e-09
0.6571851.6091954.511476e-09
0.6581081.6091474.426285e-09
0.6590311.60914.340974e-09
0.6599561.6090534.255543e-09
0.6608821.6090064.169992e-09
0.661811.6089594.084322e-09
0.6627391.6089123.998531e-09
0.6636691.6088653.912619e-09
0.6646011.6088193.826587e-09
0.6655331.6087723.740434e-09
0.6664671.6087263.654161e-09
0.6674031.608683.567766e-09
0.668341.6086343.481250e-09
0.6692781.6085883.394613e-09
0.6702171.6085423.307854e-09
0.6711581.6084963.220973e-09
0.67211.608453.133970e-09
0.6730431.6084053.046845e-09
0.6739881.6083592.959598e-09
0.6749331.6083142.872228e-09
0.6758811.6082692.784736e-09
0.6768291.6082242.697121e-09
0.6777791.6081782.609383e-09
0.6787311.6081342.521522e-09
0.6796831.6080892.433538e-09
0.6806371.6080442.345430e-09
0.6815921.6079992.257198e-09
0.6825491.6079552.168843e-09
0.6835071.607912.080363e-09
0.6844661.6078661.991760e-09
0.6854271.6078221.903032e-09
0.6863891.6077781.814179e-09
0.6873521.6077341.725202e-09
0.6883171.607691.636100e-09
0.6892831.6076461.546873e-09
0.6902511.6076021.457520e-09
0.6912191.6075591.368043e-09
0.692191.6075151.278439e-09
0.6931611.6074721.188710e-09
0.6941341.6074291.098855e-09
0.6951081.6073851.008874e-09
0.6960841.6073429.187664e-10
0.6970611.6072998.285324e-10
0.6980391.6072567.381718e-10
0.6990191.6072146.476844e-10
0.71.6071715.570700e-10

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
—