Optical constants

Refractive index of E-FK01 (HIKARI)

E-FK01: 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
1.497
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.24101
Permittivity ε2
1.40068e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
81.63
Chromatic dispersion dn/dλ
-0.0315041 µm⁻¹
Group index ng
1.51551
Group velocity dispersion
54.9214 fs²/mm
Dispersion parameter D
-299.625 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-FK01 (HIKARI): E-FK01
hikari_e_fk01 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-FK01", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_fk01.range_nm)  # (400, 700) nm
eps = hikari_e_fk01.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=2.22250469−0.00850804282⁢λ2.0+0.005666787⁢λ−2.0+0.00084184905⁢λ−4.0−9.804141×10-5⁢λ−6.0+4.91868528×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.22250469
C2-0.00850804282
C32.0
C40.005666787
C5-2.0
C60.00084184905
C7-4.0
C8-9.804141e-05
C9-6.0
C104.91868528e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.497000
Vd
81.629798
glass code
497816
glass status
preferred
density
value: 3610
thermal expansion
value: 1.48e-05, temperature range: 243 343
dPgF
0.0299

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-FK01 (HIKARI), E-FK01: n and k versus wavelength
λ (µm)nk
0.41.5076523.184700e-09
0.4005611.5075963.189169e-09
0.4011241.5075393.193644e-09
0.4016871.5074833.198125e-09
0.402251.5074273.202613e-09
0.4028151.5073723.207107e-09
0.403381.5073163.211607e-09
0.4039461.5072613.216114e-09
0.4045131.5072063.220627e-09
0.4050811.5071513.225146e-09
0.405651.5070963.229672e-09
0.4062191.5070413.234204e-09
0.4067891.5069873.238742e-09
0.407361.5069323.243287e-09
0.4079321.5068783.247838e-09
0.4085041.5068243.252395e-09
0.4090781.506773.256959e-09
0.4096521.5067173.261529e-09
0.4102271.5066633.266106e-09
0.4108031.506613.270689e-09
0.4113791.5065573.275279e-09
0.4119571.5065043.279875e-09
0.4125351.5064513.284477e-09
0.4131141.5063983.289086e-09
0.4136941.5063463.293701e-09
0.4142741.5062933.298323e-09
0.4148561.5062413.302951e-09
0.4154381.5061893.307586e-09
0.4160211.5061373.312227e-09
0.4166051.5060853.316875e-09
0.417191.5060343.321530e-09
0.4177751.5059833.326191e-09
0.4183621.5059313.330858e-09
0.4189491.505883.335532e-09
0.4195371.5058293.340212e-09
0.421.5057893.343900e-09
0.4201261.5057783.344900e-09
0.4207151.5057283.349597e-09
0.4213061.5056773.354300e-09
0.4218971.5056273.359010e-09
0.4224891.5055773.363726e-09
0.4230821.5055273.368449e-09
0.4236761.5054773.373179e-09
0.4242711.5054273.377915e-09
0.4248661.5053783.382658e-09
0.4254621.5053283.387408e-09
0.426061.5052793.392164e-09
0.4266581.505233.396927e-09
0.4272561.5051813.401697e-09
0.4278561.5051323.406473e-09
0.4284571.5050833.411256e-09
0.4290581.5050353.416046e-09
0.429661.5049863.420843e-09
0.4302631.5049383.425646e-09
0.4308671.504893.430456e-09
0.4314721.5048423.435272e-09
0.4320771.5047943.440096e-09
0.4326841.5047473.444926e-09
0.4332911.5046993.449763e-09
0.4338991.5046523.454607e-09
0.4345081.5046043.459458e-09
0.4351181.5045573.464315e-09
0.4357291.504513.469179e-09
0.436341.5044633.474050e-09
0.4369531.5044173.478928e-09
0.4375661.504373.483813e-09
0.438181.5043243.488705e-09
0.4387951.5042773.493603e-09
0.4394111.5042313.498508e-09
0.441.5041873.503200e-09
0.4400281.5041853.503420e-09
0.4406451.5041393.508336e-09
0.4412641.5040933.513259e-09
0.4418831.5040483.518189e-09
0.4425031.5040023.523126e-09
0.4431241.5039573.528070e-09
0.4437461.5039123.533020e-09
0.4443691.5038673.537978e-09
0.4449931.5038223.542942e-09
0.4456171.5037773.547914e-09
0.4462431.5037323.552892e-09
0.4468691.5036873.557878e-09
0.4474961.5036433.562870e-09
0.4481241.5035993.567870e-09
0.4487531.5035543.572876e-09
0.4493831.503513.577890e-09
0.4500141.5034663.582910e-09
0.4506451.5034233.587938e-09
0.4512781.5033793.592973e-09
0.4519111.5033353.598014e-09
0.4525461.5032923.603063e-09
0.4531811.5032493.608119e-09
0.4538171.5032053.613182e-09
0.4544541.5031623.618252e-09
0.4550921.5031193.623329e-09
0.455731.5030763.628414e-09
0.456371.5030343.633505e-09
0.4570111.5029913.638604e-09
0.4576521.5029493.643709e-09
0.4582941.5029063.648822e-09
0.4589381.5028643.653943e-09
0.4595821.5028223.659070e-09
0.461.5027953.662400e-09
0.4602271.502783.664204e-09
0.4608731.5027383.669346e-09
0.4615191.5026973.674495e-09
0.4621671.5026553.679651e-09
0.4628161.5026133.684814e-09
0.4634651.5025723.689985e-09
0.4641161.5025313.695163e-09
0.4647671.502493.700348e-09
0.465421.5024493.705541e-09
0.4660731.5024083.710740e-09
0.4667271.5023673.715947e-09
0.4673821.5023263.721162e-09
0.4680381.5022863.726383e-09
0.4686951.5022453.731612e-09
0.4693531.5022053.736848e-09
0.4700121.5021653.742092e-09
0.4706711.5021253.747343e-09
0.4713321.5020853.752602e-09
0.4719931.5020453.757867e-09
0.4726561.5020053.763140e-09
0.4733191.5019653.768421e-09
0.4739841.5019263.773709e-09
0.4746491.5018863.779004e-09
0.4753151.5018473.784307e-09
0.4759821.5018083.789617e-09
0.476651.5017693.794935e-09
0.4773191.501733.800260e-09
0.4779891.5016913.805593e-09
0.478661.5016523.810933e-09
0.4793321.5016133.816281e-09
0.481.5015753.821600e-09
0.4800051.5015753.821636e-09
0.4806781.5015363.827002e-09
0.4813531.5014983.832376e-09
0.4820281.501463.837757e-09
0.4827051.5014223.843145e-09
0.4833821.5013843.848541e-09
0.4840611.5013463.853945e-09
0.484741.5013083.859357e-09
0.4854211.501273.864776e-09
0.4861021.5012333.870202e-09
0.4867841.5011953.875636e-09
0.4874671.5011583.881078e-09
0.4881521.5011213.886528e-09
0.4888371.5010843.891985e-09
0.4895231.5010473.897450e-09
0.490211.501013.902922e-09
0.4908981.5009733.908402e-09
0.4915871.5009363.913890e-09
0.4922771.5008993.919385e-09
0.4929681.5008633.924889e-09
0.493661.5008263.930400e-09
0.4943531.500793.935918e-09
0.4950461.5007543.941445e-09
0.4957411.5007183.946979e-09
0.4964371.5006823.952521e-09
0.4971341.5006463.958071e-09
0.4978321.500613.963628e-09
0.498531.5005743.969193e-09
0.499231.5005393.974766e-09
0.4999311.5005033.980347e-09
0.51.50053.980900e-09
0.5006321.5004683.985934e-09
0.5013351.5004323.991529e-09
0.5020391.5003973.997131e-09
0.5027431.5003624.002741e-09
0.5034491.5003274.008360e-09
0.5041551.5002924.013986e-09
0.5048631.5002574.019619e-09
0.5055721.5002224.025261e-09
0.5062811.5001884.030911e-09
0.5069921.5001534.036569e-09
0.5077031.5001194.042234e-09
0.5084161.5000844.047908e-09
0.509131.500054.053589e-09
0.5098441.5000164.059279e-09
0.510561.4999824.064976e-09
0.5112761.4999484.070682e-09
0.5119941.4999144.076395e-09
0.5127121.499884.082117e-09
0.5134321.4998474.087846e-09
0.5141531.4998134.093584e-09
0.5148741.4997794.099329e-09
0.5155971.4997464.105083e-09
0.5163211.4997134.110845e-09
0.5170451.4996794.116614e-09
0.5177711.4996464.122392e-09
0.5184981.4996134.128178e-09
0.5192251.499584.133973e-09
0.5199541.4995474.139775e-09
0.5206841.4995154.145585e-09
0.5214151.4994824.151404e-09
0.5221471.4994494.157231e-09
0.5228791.4994174.163066e-09
0.5236131.4993844.168909e-09
0.5243481.4993524.174760e-09
0.5250841.499324.180620e-09
0.5258211.4992884.186487e-09
0.5265591.4992564.192363e-09
0.5272981.4992244.198248e-09
0.5280381.4991924.204140e-09
0.5287791.499164.210041e-09
0.5295211.4991284.215950e-09
0.5302651.4990974.221867e-09
0.5310091.4990654.227793e-09
0.5317541.4990344.233727e-09
0.5325011.4990024.239669e-09
0.5332481.4989714.245620e-09
0.5339961.498944.251579e-09
0.5347461.4989094.257546e-09
0.5354961.4988784.263522e-09
0.5362481.4988474.269506e-09
0.5370011.4988164.275499e-09
0.5377541.4987854.281500e-09
0.5385091.4987544.287509e-09
0.5392651.4987244.293527e-09
0.5400221.4986934.299553e-09
0.540781.4986634.305588e-09
0.5415391.4986324.311631e-09
0.5422991.4986024.317682e-09
0.543061.4985724.323743e-09
0.5438221.4985424.329811e-09
0.5445851.4985124.335888e-09
0.545351.4984824.341974e-09
0.5461151.4984524.348068e-09
0.5468821.4984224.354171e-09
0.5476491.4983924.360282e-09
0.5484181.4983634.366402e-09
0.5491871.4983334.372531e-09
0.5499581.4983044.378668e-09
0.551.4983024.379000e-09
0.550731.4982744.384812e-09
0.5515031.4982454.390965e-09
0.5522771.4982164.397126e-09
0.5530521.4981874.403297e-09
0.5538291.4981584.409475e-09
0.5546061.4981294.415663e-09
0.5553841.49814.421859e-09
0.5561641.4980714.428064e-09
0.5569441.4980424.434277e-09
0.5577261.4980144.440499e-09
0.5585091.4979854.446730e-09
0.5592931.4979564.452970e-09
0.5600781.4979284.459219e-09
0.5608641.49794.465476e-09
0.5616511.4978714.471742e-09
0.5624391.4978434.478017e-09
0.5632291.4978154.484300e-09
0.5640191.4977874.490593e-09
0.5648111.4977594.496894e-09
0.5656041.4977314.503204e-09
0.5663971.4977034.509523e-09
0.5671921.4976754.515851e-09
0.5679881.4976484.522188e-09
0.5687861.497624.528533e-09
0.5695841.4975924.534888e-09
0.5703831.4975654.541251e-09
0.5711841.4975374.547624e-09
0.5719861.497514.554005e-09
0.5727881.4974834.560395e-09
0.5735921.4974564.566795e-09
0.5743971.4974294.573203e-09
0.5752041.4974014.579620e-09
0.5760111.4973744.586046e-09
0.5768191.4973484.592481e-09
0.5776291.4973214.598926e-09
0.578441.4972944.605379e-09
0.5792511.4972674.611841e-09
0.5800641.4972414.618313e-09
0.5808791.4972144.624793e-09
0.5816941.4971884.631283e-09
0.582511.4971614.637782e-09
0.5833281.4971354.644290e-09
0.5841471.4971094.650807e-09
0.5849661.4970824.657333e-09
0.5857871.4970564.663868e-09
0.586611.497034.670413e-09
0.5874331.4970044.676966e-09
0.5882571.4969784.683529e-09
0.5890831.4969524.690101e-09
0.589911.4969264.696682e-09
0.5907381.4969014.703273e-09
0.5915671.4968754.709873e-09
0.5923971.4968494.716482e-09
0.5932291.4968244.723100e-09
0.5940611.4967984.729728e-09
0.5948951.4967734.736365e-09
0.595731.4967484.743011e-09
0.5965661.4967224.749666e-09
0.5974031.4966974.756331e-09
0.5982421.4966724.763006e-09
0.5990821.4966474.769689e-09
0.5999221.4966224.776382e-09
0.61.496624.777000e-09
0.6007641.4965974.783086e-09
0.6016081.4965724.789800e-09
0.6024521.4965474.796523e-09
0.6032981.4965224.803255e-09
0.6041441.4964984.809997e-09
0.6049921.4964734.816748e-09
0.6058411.4964484.823509e-09
0.6066921.4964244.830279e-09
0.6075431.4963994.837059e-09
0.6083961.4963754.843848e-09
0.609251.4963514.850647e-09
0.6101051.4963264.857455e-09
0.6109611.4963024.864273e-09
0.6118191.4962784.871100e-09
0.6126771.4962544.877937e-09
0.6135371.496234.884784e-09
0.6143981.4962064.891640e-09
0.6152611.4961824.898506e-09
0.6161241.4961584.905381e-09
0.6169891.4961344.912266e-09
0.6178551.4961114.919161e-09
0.6187221.4960874.926066e-09
0.6195911.4960634.932980e-09
0.620461.496044.939904e-09
0.6213311.4960164.946837e-09
0.6222031.4959934.953781e-09
0.6230761.495974.960734e-09
0.6239511.4959464.967697e-09
0.6248271.4959234.974669e-09
0.6257041.49594.981652e-09
0.6265821.4958774.988644e-09
0.6274611.4958534.995646e-09
0.6283421.495835.002658e-09
0.6292241.4958075.009679e-09
0.6301071.4957855.016711e-09
0.6309911.4957625.023752e-09
0.6318771.4957395.030803e-09
0.6327641.4957165.037865e-09
0.6336521.4956935.044936e-09
0.6345411.4956715.052017e-09
0.6354321.4956485.059108e-09
0.6363241.4956265.066208e-09
0.6372171.4956035.073319e-09
0.6381111.4955815.080440e-09
0.6390071.4955585.087571e-09
0.6399041.4955365.094712e-09
0.6408021.4955145.101863e-09
0.6417011.4954915.109024e-09
0.6426021.4954695.116194e-09
0.6435041.4954475.123375e-09
0.6444071.4954255.130567e-09
0.6453111.4954035.137768e-09
0.6462171.4953815.144979e-09
0.6471241.4953595.152200e-09
0.6480321.4953375.159432e-09
0.6489421.4953165.166674e-09
0.6498521.4952945.173926e-09
0.651.495295.175100e-09
0.6507651.4952725.181188e-09
0.6516781.495255.188460e-09
0.6525931.4952295.195742e-09
0.6535091.4952075.203035e-09
0.6544261.4951865.210338e-09
0.6553441.4951645.217651e-09
0.6562641.4951435.224974e-09
0.6571851.4951225.232308e-09
0.6581081.49515.239652e-09
0.6590311.4950795.247006e-09
0.6599561.4950585.254371e-09
0.6608821.4950375.261746e-09
0.661811.4950165.269131e-09
0.6627391.4949945.276527e-09
0.6636691.4949735.283933e-09
0.6646011.4949535.291349e-09
0.6655331.4949325.298776e-09
0.6664671.4949115.306213e-09
0.6674031.494895.313661e-09
0.668341.4948695.321119e-09
0.6692781.4948485.328588e-09
0.6702171.4948285.336067e-09
0.6711581.4948075.343557e-09
0.67211.4947865.351057e-09
0.6730431.4947665.358567e-09
0.6739881.4947455.366089e-09
0.6749331.4947255.373620e-09
0.6758811.4947055.381163e-09
0.6768291.4946845.388716e-09
0.6777791.4946645.396279e-09
0.6787311.4946445.403853e-09
0.6796831.4946235.411438e-09
0.6806371.4946035.419033e-09
0.6815921.4945835.426639e-09
0.6825491.4945635.434256e-09
0.6835071.4945435.441884e-09
0.6844661.4945235.449522e-09
0.6854271.4945035.457171e-09
0.6863891.4944835.464830e-09
0.6873521.4944635.472500e-09
0.6883171.4944435.480182e-09
0.6892831.4944235.487873e-09
0.6902511.4944045.495576e-09
0.6912191.4943845.503290e-09
0.692191.4943645.511014e-09
0.6931611.4943455.518749e-09
0.6941341.4943255.526495e-09
0.6951081.4943065.534252e-09
0.6960841.4942865.542020e-09
0.6970611.4942675.549798e-09
0.6980391.4942475.557588e-09
0.6990191.4942285.565389e-09
0.71.4942085.573200e-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
—