Optical constants

Refractive index of E-PSK03 (HIKARI)

E-PSK03: 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
1.603
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.56961
Permittivity ε2
1.49986e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
65.46
Chromatic dispersion dn/dλ
-0.0476617 µm⁻¹
Group index ng
1.63101
Group velocity dispersion
82.3335 fs²/mm
Dispersion parameter D
-449.173 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-PSK03 (HIKARI): E-PSK03
hikari_e_psk03 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-PSK03", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_psk03.range_nm)  # (400, 700) nm
eps = hikari_e_psk03.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=2.53132391−0.00865579054⁢λ2.0+0.0142829487⁢λ−2.0−0.000115110582⁢λ−4.0+4.15511576×10-5⁢λ−6.0−1.9869836×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.53132391
C2-0.00865579054
C32.0
C40.0142829487
C5-2.0
C6-0.000115110582
C7-4.0
C84.15511576e-05
C9-6.0
C10-1.9869836e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.603001
Vd
65.460398
glass code
603655
glass status
preferred
density
value: 3520
thermal expansion
value: 1.05e-05, temperature range: 243 343
dPgF
0.0062

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-PSK03 (HIKARI), E-PSK03: n and k versus wavelength
λ (µm)nk
0.41.6192051.275800e-08
0.4005611.6191181.249374e-08
0.4011241.6190321.222911e-08
0.4016871.6189461.196411e-08
0.402251.618861.169873e-08
0.4028151.6187751.143299e-08
0.403381.618691.116687e-08
0.4039461.6186051.090038e-08
0.4045131.618521.063351e-08
0.4050811.6184361.036627e-08
0.405651.6183521.009865e-08
0.4062191.6182689.830661e-09
0.4067891.6181859.562293e-09
0.407361.6181019.293548e-09
0.4079321.6180189.024427e-09
0.4085041.6179358.754927e-09
0.4090781.6178538.485049e-09
0.4096521.6177718.214792e-09
0.4102271.6176897.944157e-09
0.4108031.6176077.673141e-09
0.4113791.6175257.401745e-09
0.4119571.6174447.129968e-09
0.4125351.6173636.857809e-09
0.4131141.6172826.585268e-09
0.4136941.6172026.312345e-09
0.4142741.6171226.039039e-09
0.4148561.6170425.765350e-09
0.4154381.6169625.491276e-09
0.4160211.6168825.216817e-09
0.4166051.6168034.941974e-09
0.417191.6167244.666744e-09
0.4177751.6166454.391129e-09
0.4183621.6165674.115126e-09
0.4189491.6164883.838736e-09
0.4195371.616413.561958e-09
0.421.6163493.343900e-09
0.4201261.6163333.344900e-09
0.4207151.6162553.349597e-09
0.4213061.6161783.354300e-09
0.4218971.6161013.359010e-09
0.4224891.6160243.363726e-09
0.4230821.6159473.368449e-09
0.4236761.6158713.373179e-09
0.4242711.6157953.377915e-09
0.4248661.6157193.382658e-09
0.4254621.6156433.387408e-09
0.426061.6155673.392164e-09
0.4266581.6154923.396927e-09
0.4272561.6154173.401697e-09
0.4278561.6153423.406473e-09
0.4284571.6152683.411256e-09
0.4290581.6151943.416046e-09
0.429661.615123.420843e-09
0.4302631.6150463.425646e-09
0.4308671.6149723.430456e-09
0.4314721.6148993.435272e-09
0.4320771.6148253.440096e-09
0.4326841.6147523.444926e-09
0.4332911.614683.449763e-09
0.4338991.6146073.454607e-09
0.4345081.6145353.459458e-09
0.4351181.6144633.464315e-09
0.4357291.6143913.469179e-09
0.436341.6143193.474050e-09
0.4369531.6142483.478928e-09
0.4375661.6141773.483813e-09
0.438181.6141063.488705e-09
0.4387951.6140353.493603e-09
0.4394111.6139643.498508e-09
0.441.6138973.503200e-09
0.4400281.6138943.503420e-09
0.4406451.6138243.508336e-09
0.4412641.6137543.513259e-09
0.4418831.6136843.518189e-09
0.4425031.6136153.523126e-09
0.4431241.6135463.528070e-09
0.4437461.6134763.533020e-09
0.4443691.6134083.537978e-09
0.4449931.6133393.542942e-09
0.4456171.6132713.547914e-09
0.4462431.6132023.552892e-09
0.4468691.6131343.557878e-09
0.4474961.6130663.562870e-09
0.4481241.6129993.567870e-09
0.4487531.6129313.572876e-09
0.4493831.6128643.577890e-09
0.4500141.6127973.582910e-09
0.4506451.612733.587938e-09
0.4512781.6126643.592973e-09
0.4519111.6125973.598014e-09
0.4525461.6125313.603063e-09
0.4531811.6124653.608119e-09
0.4538171.6123993.613182e-09
0.4544541.6123343.618252e-09
0.4550921.6122683.623329e-09
0.455731.6122033.628414e-09
0.456371.6121383.633505e-09
0.4570111.6120733.638604e-09
0.4576521.6120083.643709e-09
0.4582941.6119443.648822e-09
0.4589381.611883.653943e-09
0.4595821.6118163.659070e-09
0.461.6117743.662400e-09
0.4602271.6117523.664204e-09
0.4608731.6116883.669346e-09
0.4615191.6116243.674495e-09
0.4621671.6115613.679651e-09
0.4628161.6114983.684814e-09
0.4634651.6114353.689985e-09
0.4641161.6113723.695163e-09
0.4647671.611313.700348e-09
0.465421.6112473.705541e-09
0.4660731.6111853.710740e-09
0.4667271.6111233.715947e-09
0.4673821.6110613.721162e-09
0.4680381.6113.726383e-09
0.4686951.6109383.731612e-09
0.4693531.6108773.736848e-09
0.4700121.6108163.742092e-09
0.4706711.6107553.747343e-09
0.4713321.6106943.752602e-09
0.4719931.6106343.757867e-09
0.4726561.6105733.763140e-09
0.4733191.6105133.768421e-09
0.4739841.6104533.773709e-09
0.4746491.6103933.779004e-09
0.4753151.6103333.784307e-09
0.4759821.6102743.789617e-09
0.476651.6102153.794935e-09
0.4773191.6101553.800260e-09
0.4779891.6100963.805593e-09
0.478661.6100383.810933e-09
0.4793321.6099793.816281e-09
0.481.6099213.821600e-09
0.4800051.6099213.821636e-09
0.4806781.6098623.827002e-09
0.4813531.6098043.832376e-09
0.4820281.6097463.837757e-09
0.4827051.6096883.843145e-09
0.4833821.6096313.848541e-09
0.4840611.6095733.853945e-09
0.484741.6095163.859357e-09
0.4854211.6094593.864776e-09
0.4861021.6094023.870202e-09
0.4867841.6093453.875636e-09
0.4874671.6092883.881078e-09
0.4881521.6092323.886528e-09
0.4888371.6091763.891985e-09
0.4895231.609123.897450e-09
0.490211.6090643.902922e-09
0.4908981.6090083.908402e-09
0.4915871.6089523.913890e-09
0.4922771.6088973.919385e-09
0.4929681.6088413.924889e-09
0.493661.6087863.930400e-09
0.4943531.6087313.935918e-09
0.4950461.6086763.941445e-09
0.4957411.6086213.946979e-09
0.4964371.6085673.952521e-09
0.4971341.6085133.958071e-09
0.4978321.6084583.963628e-09
0.498531.6084043.969193e-09
0.499231.608353.974766e-09
0.4999311.6082973.980347e-09
0.51.6082913.980900e-09
0.5006321.6082433.985934e-09
0.5013351.6081893.991529e-09
0.5020391.6081363.997131e-09
0.5027431.6080834.002741e-09
0.5034491.608034.008360e-09
0.5041551.6079774.013986e-09
0.5048631.6079244.019619e-09
0.5055721.6078724.025261e-09
0.5062811.6078194.030911e-09
0.5069921.6077674.036569e-09
0.5077031.6077154.042234e-09
0.5084161.6076634.047908e-09
0.509131.6076114.053589e-09
0.5098441.607564.059279e-09
0.510561.6075084.064976e-09
0.5112761.6074574.070682e-09
0.5119941.6074054.076395e-09
0.5127121.6073544.082117e-09
0.5134321.6073034.087846e-09
0.5141531.6072534.093584e-09
0.5148741.6072024.099329e-09
0.5155971.6071514.105083e-09
0.5163211.6071014.110845e-09
0.5170451.6070514.116614e-09
0.5177711.6070014.122392e-09
0.5184981.6069514.128178e-09
0.5192251.6069014.133973e-09
0.5199541.6068514.139775e-09
0.5206841.6068024.145585e-09
0.5214151.6067524.151404e-09
0.5221471.6067034.157231e-09
0.5228791.6066544.163066e-09
0.5236131.6066054.168909e-09
0.5243481.6065564.174760e-09
0.5250841.6065074.180620e-09
0.5258211.6064594.186487e-09
0.5265591.606414.192363e-09
0.5272981.6063624.198248e-09
0.5280381.6063144.204140e-09
0.5287791.6062664.210041e-09
0.5295211.6062184.215950e-09
0.5302651.606174.221867e-09
0.5310091.6061224.227793e-09
0.5317541.6060754.233727e-09
0.5325011.6060274.239669e-09
0.5332481.605984.245620e-09
0.5339961.6059334.251579e-09
0.5347461.6058864.257546e-09
0.5354961.6058394.263522e-09
0.5362481.6057924.269506e-09
0.5370011.6057464.275499e-09
0.5377541.6056994.281500e-09
0.5385091.6056534.287509e-09
0.5392651.6056074.293527e-09
0.5400221.605564.299553e-09
0.540781.6055144.305588e-09
0.5415391.6054694.311631e-09
0.5422991.6054234.317682e-09
0.543061.6053774.323743e-09
0.5438221.6053324.329811e-09
0.5445851.6052864.335888e-09
0.545351.6052414.341974e-09
0.5461151.6051964.348068e-09
0.5468821.6051514.354171e-09
0.5476491.6051064.360282e-09
0.5484181.6050614.366402e-09
0.5491871.6050174.372531e-09
0.5499581.6049724.378668e-09
0.551.604974.379000e-09
0.550731.6049284.384812e-09
0.5515031.6048834.390965e-09
0.5522771.6048394.397126e-09
0.5530521.6047954.403297e-09
0.5538291.6047514.409475e-09
0.5546061.6047074.415663e-09
0.5553841.6046644.421859e-09
0.5561641.604624.428064e-09
0.5569441.6045774.434277e-09
0.5577261.6045334.440499e-09
0.5585091.604494.446730e-09
0.5592931.6044474.452970e-09
0.5600781.6044044.459219e-09
0.5608641.6043614.465476e-09
0.5616511.6043184.471742e-09
0.5624391.6042764.478017e-09
0.5632291.6042334.484300e-09
0.5640191.6041914.490593e-09
0.5648111.6041484.496894e-09
0.5656041.6041064.503204e-09
0.5663971.6040644.509523e-09
0.5671921.6040224.515851e-09
0.5679881.603984.522188e-09
0.5687861.6039384.528533e-09
0.5695841.6038974.534888e-09
0.5703831.6038554.541251e-09
0.5711841.6038144.547624e-09
0.5719861.6037724.554005e-09
0.5727881.6037314.560395e-09
0.5735921.603694.566795e-09
0.5743971.6036494.573203e-09
0.5752041.6036084.579620e-09
0.5760111.6035674.586046e-09
0.5768191.6035274.592481e-09
0.5776291.6034864.598926e-09
0.578441.6034464.605379e-09
0.5792511.6034054.611841e-09
0.5800641.6033654.618313e-09
0.5808791.6033254.624793e-09
0.5816941.6032854.631283e-09
0.582511.6032454.637782e-09
0.5833281.6032054.644290e-09
0.5841471.6031654.650807e-09
0.5849661.6031264.657333e-09
0.5857871.6030864.663868e-09
0.586611.6030474.670413e-09
0.5874331.6030074.676966e-09
0.5882571.6029684.683529e-09
0.5890831.6029294.690101e-09
0.589911.602894.696682e-09
0.5907381.6028514.703273e-09
0.5915671.6028124.709873e-09
0.5923971.6027734.716482e-09
0.5932291.6027344.723100e-09
0.5940611.6026964.729728e-09
0.5948951.6026574.736365e-09
0.595731.6026194.743011e-09
0.5965661.6025814.749666e-09
0.5974031.6025434.756331e-09
0.5982421.6025054.763006e-09
0.5990821.6024674.769689e-09
0.5999221.6024294.776382e-09
0.61.6024254.777000e-09
0.6007641.6023914.783086e-09
0.6016081.6023534.789800e-09
0.6024521.6023164.796523e-09
0.6032981.6022784.803255e-09
0.6041441.6022414.809997e-09
0.6049921.6022034.816748e-09
0.6058411.6021664.823509e-09
0.6066921.6021294.830279e-09
0.6075431.6020924.837059e-09
0.6083961.6020554.843848e-09
0.609251.6020184.850647e-09
0.6101051.6019824.857455e-09
0.6109611.6019454.864273e-09
0.6118191.6019084.871100e-09
0.6126771.6018724.877937e-09
0.6135371.6018354.884784e-09
0.6143981.6017994.891640e-09
0.6152611.6017634.898506e-09
0.6161241.6017274.905381e-09
0.6169891.6016914.912266e-09
0.6178551.6016554.919161e-09
0.6187221.6016194.926066e-09
0.6195911.6015834.932980e-09
0.620461.6015474.939904e-09
0.6213311.6015124.946837e-09
0.6222031.6014764.953781e-09
0.6230761.6014414.960734e-09
0.6239511.6014064.967697e-09
0.6248271.601374.974669e-09
0.6257041.6013354.981652e-09
0.6265821.60134.988644e-09
0.6274611.6012654.995646e-09
0.6283421.601235.002658e-09
0.6292241.6011955.009679e-09
0.6301071.6011615.016711e-09
0.6309911.6011265.023752e-09
0.6318771.6010915.030803e-09
0.6327641.6010575.037865e-09
0.6336521.6010225.044936e-09
0.6345411.6009885.052017e-09
0.6354321.6009545.059108e-09
0.6363241.600925.066208e-09
0.6372171.6008865.073319e-09
0.6381111.6008525.080440e-09
0.6390071.6008185.087571e-09
0.6399041.6007845.094712e-09
0.6408021.600755.101863e-09
0.6417011.6007165.109024e-09
0.6426021.6006835.116194e-09
0.6435041.6006495.123375e-09
0.6444071.6006165.130567e-09
0.6453111.6005825.137768e-09
0.6462171.6005495.144979e-09
0.6471241.6005165.152200e-09
0.6480321.6004835.159432e-09
0.6489421.600455.166674e-09
0.6498521.6004175.173926e-09
0.651.6004115.175100e-09
0.6507651.6003845.266497e-09
0.6516781.6003515.375679e-09
0.6525931.6003185.485014e-09
0.6535091.6002855.594503e-09
0.6544261.6002535.704145e-09
0.6553441.600225.813942e-09
0.6562641.6001885.923892e-09
0.6571851.6001566.033997e-09
0.6581081.6001236.144256e-09
0.6590311.6000916.254671e-09
0.6599561.6000596.365240e-09
0.6608821.6000276.475964e-09
0.661811.5999956.586843e-09
0.6627391.5999636.697879e-09
0.6636691.5999316.809070e-09
0.6646011.5998996.920417e-09
0.6655331.5998677.031920e-09
0.6664671.5998367.143580e-09
0.6674031.5998047.255397e-09
0.668341.5997737.367371e-09
0.6692781.5997417.479501e-09
0.6702171.599717.591790e-09
0.6711581.5996797.704235e-09
0.67211.5996477.816839e-09
0.6730431.5996167.929601e-09
0.6739881.5995858.042520e-09
0.6749331.5995548.155599e-09
0.6758811.5995238.268836e-09
0.6768291.5994928.382232e-09
0.6777791.5994628.495787e-09
0.6787311.5994318.609502e-09
0.6796831.59948.723376e-09
0.6806371.599378.837410e-09
0.6815921.5993398.951604e-09
0.6825491.5993099.065958e-09
0.6835071.5992789.180473e-09
0.6844661.5992489.295148e-09
0.6854271.5992189.409985e-09
0.6863891.5991889.524982e-09
0.6873521.5991579.640141e-09
0.6883171.5991279.755462e-09
0.6892831.5990979.870945e-09
0.6902511.5990679.986589e-09
0.6912191.5990381.010240e-08
0.692191.5990081.021837e-08
0.6931611.5989781.033450e-08
0.6941341.5989481.045079e-08
0.6951081.5989191.056725e-08
0.6960841.5988891.068387e-08
0.6970611.598861.080066e-08
0.6980391.598831.091761e-08
0.6990191.5988011.103472e-08
0.71.5987721.115200e-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
—