Optical constants

Refractive index of E-FKH1 (HIKARI)

E-FKH1: 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
1.49782
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.24346
Permittivity ε2
1.40145e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
82.516
Chromatic dispersion dn/dλ
-0.0312172 µm⁻¹
Group index ng
1.51616
Group velocity dispersion
54.3323 fs²/mm
Dispersion parameter D
-296.411 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-FKH1 (HIKARI): E-FKH1
hikari_e_fkh1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-FKH1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_fkh1.range_nm)  # (400, 700) nm
eps = hikari_e_fkh1.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=2.22025427−0.00513496818⁢λ2.0+0.00841587708⁢λ−2.0+5.4263553×10-5⁢λ−4.0+7.61288219×10-6⁢λ−6.0−4.89857441×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.22025427
C2-0.00513496818
C32.0
C40.00841587708
C5-2.0
C65.4263553e-05
C7-4.0
C87.61288219e-06
C9-6.0
C10-4.89857441e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.497820
Vd
82.515656
glass code
498825
glass status
preferred
density
value: 3870
thermal expansion
value: 1.53e-05, temperature range: 243 343
dPgF
0.0331

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-FKH1 (HIKARI), E-FKH1: n and k versus wavelength
λ (µm)nk
0.41.5083973.184700e-09
0.4005611.5083413.189169e-09
0.4011241.5082863.193644e-09
0.4016871.508233.198125e-09
0.402251.5081753.202613e-09
0.4028151.5081193.207107e-09
0.403381.5080643.211607e-09
0.4039461.5080093.216114e-09
0.4045131.5079553.220627e-09
0.4050811.50793.225146e-09
0.405651.5078463.229672e-09
0.4062191.5077913.234204e-09
0.4067891.5077373.238742e-09
0.407361.5076833.243287e-09
0.4079321.5076293.247838e-09
0.4085041.5075763.252395e-09
0.4090781.5075223.256959e-09
0.4096521.5074693.261529e-09
0.4102271.5074163.266106e-09
0.4108031.5073633.270689e-09
0.4113791.507313.275279e-09
0.4119571.5072573.279875e-09
0.4125351.5072053.284477e-09
0.4131141.5071523.289086e-09
0.4136941.50713.293701e-09
0.4142741.5070483.298323e-09
0.4148561.5069963.302951e-09
0.4154381.5069443.307586e-09
0.4160211.5068933.312227e-09
0.4166051.5068413.316875e-09
0.417191.506793.321530e-09
0.4177751.5067393.326191e-09
0.4183621.5066883.330858e-09
0.4189491.5066373.335532e-09
0.4195371.5065863.340212e-09
0.421.5065473.343900e-09
0.4201261.5065363.344900e-09
0.4207151.5064853.349597e-09
0.4213061.5064353.354300e-09
0.4218971.5063853.359010e-09
0.4224891.5063353.363726e-09
0.4230821.5062853.368449e-09
0.4236761.5062363.373179e-09
0.4242711.5061863.377915e-09
0.4248661.5061373.382658e-09
0.4254621.5060883.387408e-09
0.426061.5060393.392164e-09
0.4266581.505993.396927e-09
0.4272561.5059413.401697e-09
0.4278561.5058923.406473e-09
0.4284571.5058443.411256e-09
0.4290581.5057953.416046e-09
0.429661.5057473.420843e-09
0.4302631.5056993.425646e-09
0.4308671.5056513.430456e-09
0.4314721.5056033.435272e-09
0.4320771.5055563.440096e-09
0.4326841.5055083.444926e-09
0.4332911.5054613.449763e-09
0.4338991.5054143.454607e-09
0.4345081.5053673.459458e-09
0.4351181.505323.464315e-09
0.4357291.5052733.469179e-09
0.436341.5052263.474050e-09
0.4369531.505183.478928e-09
0.4375661.5051343.483813e-09
0.438181.5050873.488705e-09
0.4387951.5050413.493603e-09
0.4394111.5049953.498508e-09
0.441.5049513.503200e-09
0.4400281.5049493.503420e-09
0.4406451.5049043.508336e-09
0.4412641.5048583.513259e-09
0.4418831.5048133.518189e-09
0.4425031.5047673.523126e-09
0.4431241.5047223.528070e-09
0.4437461.5046773.533020e-09
0.4443691.5046323.537978e-09
0.4449931.5045883.542942e-09
0.4456171.5045433.547914e-09
0.4462431.5044983.552892e-09
0.4468691.5044543.557878e-09
0.4474961.504413.562870e-09
0.4481241.5043663.567870e-09
0.4487531.5043223.572876e-09
0.4493831.5042783.577890e-09
0.4500141.5042343.582910e-09
0.4506451.504193.587938e-09
0.4512781.5041473.592973e-09
0.4519111.5041043.598014e-09
0.4525461.504063.603063e-09
0.4531811.5040173.608119e-09
0.4538171.5039743.613182e-09
0.4544541.5039323.618252e-09
0.4550921.5038893.623329e-09
0.455731.5038463.628414e-09
0.456371.5038043.633505e-09
0.4570111.5037613.638604e-09
0.4576521.5037193.643709e-09
0.4582941.5036773.648822e-09
0.4589381.5036353.653943e-09
0.4595821.5035933.659070e-09
0.461.5035663.662400e-09
0.4602271.5035523.664204e-09
0.4608731.503513.669346e-09
0.4615191.5034683.674495e-09
0.4621671.5034273.679651e-09
0.4628161.5033863.684814e-09
0.4634651.5033453.689985e-09
0.4641161.5033043.695163e-09
0.4647671.5032633.700348e-09
0.465421.5032223.705541e-09
0.4660731.5031813.710740e-09
0.4667271.5031413.715947e-09
0.4673821.50313.721162e-09
0.4680381.503063.726383e-09
0.4686951.503023.731612e-09
0.4693531.502983.736848e-09
0.4700121.502943.742092e-09
0.4706711.50293.747343e-09
0.4713321.502863.752602e-09
0.4719931.5028213.757867e-09
0.4726561.5027813.763140e-09
0.4733191.5027423.768421e-09
0.4739841.5027033.773709e-09
0.4746491.5026643.779004e-09
0.4753151.5026243.784307e-09
0.4759821.5025863.789617e-09
0.476651.5025473.794935e-09
0.4773191.5025083.800260e-09
0.4779891.5024693.805593e-09
0.478661.5024313.810933e-09
0.4793321.5023933.816281e-09
0.481.5023553.821600e-09
0.4800051.5023543.821636e-09
0.4806781.5023163.827002e-09
0.4813531.5022783.832376e-09
0.4820281.502243.837757e-09
0.4827051.5022023.843145e-09
0.4833821.5021653.848541e-09
0.4840611.5021273.853945e-09
0.484741.502093.859357e-09
0.4854211.5020523.864776e-09
0.4861021.5020153.870202e-09
0.4867841.5019783.875636e-09
0.4874671.5019413.881078e-09
0.4881521.5019043.886528e-09
0.4888371.5018673.891985e-09
0.4895231.501833.897450e-09
0.490211.5017933.902922e-09
0.4908981.5017573.908402e-09
0.4915871.501723.913890e-09
0.4922771.5016843.919385e-09
0.4929681.5016483.924889e-09
0.493661.5016123.930400e-09
0.4943531.5015763.935918e-09
0.4950461.501543.941445e-09
0.4957411.5015043.946979e-09
0.4964371.5014683.952521e-09
0.4971341.5014323.958071e-09
0.4978321.5013973.963628e-09
0.498531.5013623.969193e-09
0.499231.5013263.974766e-09
0.4999311.5012913.980347e-09
0.51.5012873.980900e-09
0.5006321.5012563.985934e-09
0.5013351.5012213.991529e-09
0.5020391.5011863.997131e-09
0.5027431.5011514.002741e-09
0.5034491.5011164.008360e-09
0.5041551.5010824.013986e-09
0.5048631.5010474.019619e-09
0.5055721.5010134.025261e-09
0.5062811.5009784.030911e-09
0.5069921.5009444.036569e-09
0.5077031.500914.042234e-09
0.5084161.5008764.047908e-09
0.509131.5008424.053589e-09
0.5098441.5008084.059279e-09
0.510561.5007744.064976e-09
0.5112761.5007414.070682e-09
0.5119941.5007074.076395e-09
0.5127121.5006744.082117e-09
0.5134321.500644.087846e-09
0.5141531.5006074.093584e-09
0.5148741.5005744.099329e-09
0.5155971.5005414.105083e-09
0.5163211.5005074.110845e-09
0.5170451.5004754.116614e-09
0.5177711.5004424.122392e-09
0.5184981.5004094.128178e-09
0.5192251.5003764.133973e-09
0.5199541.5003444.139775e-09
0.5206841.5003114.145585e-09
0.5214151.5002794.151404e-09
0.5221471.5002474.157231e-09
0.5228791.5002144.163066e-09
0.5236131.5001824.168909e-09
0.5243481.500154.174760e-09
0.5250841.5001184.180620e-09
0.5258211.5000864.186487e-09
0.5265591.5000554.192363e-09
0.5272981.5000234.198248e-09
0.5280381.4999914.204140e-09
0.5287791.499964.210041e-09
0.5295211.4999284.215950e-09
0.5302651.4998974.221867e-09
0.5310091.4998664.227793e-09
0.5317541.4998354.233727e-09
0.5325011.4998044.239669e-09
0.5332481.4997734.245620e-09
0.5339961.4997424.251579e-09
0.5347461.4997114.257546e-09
0.5354961.499684.263522e-09
0.5362481.499654.269506e-09
0.5370011.4996194.275499e-09
0.5377541.4995884.281500e-09
0.5385091.4995584.287509e-09
0.5392651.4995284.293527e-09
0.5400221.4994984.299553e-09
0.540781.4994674.305588e-09
0.5415391.4994374.311631e-09
0.5422991.4994074.317682e-09
0.543061.4993774.323743e-09
0.5438221.4993484.329811e-09
0.5445851.4993184.335888e-09
0.545351.4992884.341974e-09
0.5461151.4992594.348068e-09
0.5468821.4992294.354171e-09
0.5476491.49924.360282e-09
0.5484181.499174.366402e-09
0.5491871.4991414.372531e-09
0.5499581.4991124.378668e-09
0.551.499114.379000e-09
0.550731.4990834.384812e-09
0.5515031.4990544.390965e-09
0.5522771.4990254.397126e-09
0.5530521.4989964.403297e-09
0.5538291.4989674.409475e-09
0.5546061.4989384.415663e-09
0.5553841.498914.421859e-09
0.5561641.4988814.428064e-09
0.5569441.4988534.434277e-09
0.5577261.4988244.440499e-09
0.5585091.4987964.446730e-09
0.5592931.4987684.452970e-09
0.5600781.4987394.459219e-09
0.5608641.4987114.465476e-09
0.5616511.4986834.471742e-09
0.5624391.4986554.478017e-09
0.5632291.4986274.484300e-09
0.5640191.49864.490593e-09
0.5648111.4985724.496894e-09
0.5656041.4985444.503204e-09
0.5663971.4985174.509523e-09
0.5671921.4984894.515851e-09
0.5679881.4984624.522188e-09
0.5687861.4984344.528533e-09
0.5695841.4984074.534888e-09
0.5703831.498384.541251e-09
0.5711841.4983534.547624e-09
0.5719861.4983264.554005e-09
0.5727881.4982984.560395e-09
0.5735921.4982724.566795e-09
0.5743971.4982454.573203e-09
0.5752041.4982184.579620e-09
0.5760111.4981914.586046e-09
0.5768191.4981644.592481e-09
0.5776291.4981384.598926e-09
0.578441.4981114.605379e-09
0.5792511.4980854.611841e-09
0.5800641.4980594.618313e-09
0.5808791.4980324.624793e-09
0.5816941.4980064.631283e-09
0.582511.497984.637782e-09
0.5833281.4979544.644290e-09
0.5841471.4979284.650807e-09
0.5849661.4979024.657333e-09
0.5857871.4978764.663868e-09
0.586611.497854.670413e-09
0.5874331.4978244.676966e-09
0.5882571.4977984.683529e-09
0.5890831.4977734.690101e-09
0.589911.4977474.696682e-09
0.5907381.4977224.703273e-09
0.5915671.4976964.709873e-09
0.5923971.4976714.716482e-09
0.5932291.4976464.723100e-09
0.5940611.497624.729728e-09
0.5948951.4975954.736365e-09
0.595731.497574.743011e-09
0.5965661.4975454.749666e-09
0.5974031.497524.756331e-09
0.5982421.4974954.763006e-09
0.5990821.497474.769689e-09
0.5999221.4974454.776382e-09
0.61.4974434.777000e-09
0.6007641.4974214.783086e-09
0.6016081.4973964.789800e-09
0.6024521.4973714.796523e-09
0.6032981.4973474.803255e-09
0.6041441.4973224.809997e-09
0.6049921.4972984.816748e-09
0.6058411.4972744.823509e-09
0.6066921.4972494.830279e-09
0.6075431.4972254.837059e-09
0.6083961.4972014.843848e-09
0.609251.4971774.850647e-09
0.6101051.4971534.857455e-09
0.6109611.4971294.864273e-09
0.6118191.4971054.871100e-09
0.6126771.4970814.877937e-09
0.6135371.4970574.884784e-09
0.6143981.4970334.891640e-09
0.6152611.497014.898506e-09
0.6161241.4969864.905381e-09
0.6169891.4969624.912266e-09
0.6178551.4969394.919161e-09
0.6187221.4969154.926066e-09
0.6195911.4968924.932980e-09
0.620461.4968694.939904e-09
0.6213311.4968454.946837e-09
0.6222031.4968224.953781e-09
0.6230761.4967994.960734e-09
0.6239511.4967764.967697e-09
0.6248271.4967534.974669e-09
0.6257041.496734.981652e-09
0.6265821.4967074.988644e-09
0.6274611.4966844.995646e-09
0.6283421.4966615.002658e-09
0.6292241.4966385.009679e-09
0.6301071.4966165.016711e-09
0.6309911.4965935.023752e-09
0.6318771.496575.030803e-09
0.6327641.4965485.037865e-09
0.6336521.4965255.044936e-09
0.6345411.4965035.052017e-09
0.6354321.4964815.059108e-09
0.6363241.4964585.066208e-09
0.6372171.4964365.073319e-09
0.6381111.4964145.080440e-09
0.6390071.4963925.087571e-09
0.6399041.4963695.094712e-09
0.6408021.4963475.101863e-09
0.6417011.4963255.109024e-09
0.6426021.4963035.116194e-09
0.6435041.4962825.123375e-09
0.6444071.496265.130567e-09
0.6453111.4962385.137768e-09
0.6462171.4962165.144979e-09
0.6471241.4961945.152200e-09
0.6480321.4961735.159432e-09
0.6489421.4961515.166674e-09
0.6498521.496135.173926e-09
0.651.4961265.175100e-09
0.6507651.4961085.181188e-09
0.6516781.4960875.188460e-09
0.6525931.4960655.195742e-09
0.6535091.4960445.203035e-09
0.6544261.4960235.210338e-09
0.6553441.4960025.217651e-09
0.6562641.495985.224974e-09
0.6571851.4959595.232308e-09
0.6581081.4959385.239652e-09
0.6590311.4959175.247006e-09
0.6599561.4958965.254371e-09
0.6608821.4958755.261746e-09
0.661811.4958545.269131e-09
0.6627391.4958335.276527e-09
0.6636691.4958135.283933e-09
0.6646011.4957925.291349e-09
0.6655331.4957715.298776e-09
0.6664671.4957515.306213e-09
0.6674031.495735.313661e-09
0.668341.4957095.321119e-09
0.6692781.4956895.328588e-09
0.6702171.4956685.336067e-09
0.6711581.4956485.343557e-09
0.67211.4956285.351057e-09
0.6730431.4956075.358567e-09
0.6739881.4955875.366089e-09
0.6749331.4955675.373620e-09
0.6758811.4955475.381163e-09
0.6768291.4955275.388716e-09
0.6777791.4955075.396279e-09
0.6787311.4954875.403853e-09
0.6796831.4954675.411438e-09
0.6806371.4954475.419033e-09
0.6815921.4954275.426639e-09
0.6825491.4954075.434256e-09
0.6835071.4953875.441884e-09
0.6844661.4953675.449522e-09
0.6854271.4953485.457171e-09
0.6863891.4953285.464830e-09
0.6873521.4953085.472500e-09
0.6883171.4952895.480182e-09
0.6892831.4952695.487873e-09
0.6902511.495255.495576e-09
0.6912191.495235.503290e-09
0.692191.4952115.511014e-09
0.6931611.4951915.518749e-09
0.6941341.4951725.526495e-09
0.6951081.4951535.534252e-09
0.6960841.4951345.542020e-09
0.6970611.4951145.549798e-09
0.6980391.4950955.557588e-09
0.6990191.4950765.565389e-09
0.71.4950575.573200e-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
—