Optical constants

Refractive index of K5 (HIKARI)

K5: 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
1.52249
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.31797
Permittivity ε2
1.42453e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
59.731
Chromatic dispersion dn/dλ
-0.0452526 µm⁻¹
Group index ng
1.54908
Group velocity dispersion
78.3165 fs²/mm
Dispersion parameter D
-427.258 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

# K5 (HIKARI): K5
hikari_k5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "K5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_k5.range_nm)  # (400, 700) nm
eps = hikari_k5.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=2.259379+0.009090504⁢λ2.0+0.02633942⁢λ−2.0−0.003777418⁢λ−4.0+0.0005228702⁢λ−6.0−2.629182×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.259379
C20.009090504
C32.0
C40.02633942
C5-2.0
C6-0.003777418
C7-4.0
C80.0005228702
C9-6.0
C10-2.629182e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.522490
Vd
59.731237
glass code
522597
glass status
preferred
density
value: 2610
thermal expansion
value: 1.02e-05, temperature range: 243 343
dPgF
0.0026

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
K5 (HIKARI), K5: n and k versus wavelength
λ (µm)nk
0.41.5379973.184700e-09
0.4005611.5379153.189169e-09
0.4011241.5378323.193644e-09
0.4016871.537753.198125e-09
0.402251.5376693.202613e-09
0.4028151.5375873.207107e-09
0.403381.5375053.211607e-09
0.4039461.5374243.216114e-09
0.4045131.5373433.220627e-09
0.4050811.5372633.225146e-09
0.405651.5371823.229672e-09
0.4062191.5371023.234204e-09
0.4067891.5370213.238742e-09
0.407361.5369423.243287e-09
0.4079321.5368623.247838e-09
0.4085041.5367823.252395e-09
0.4090781.5367033.256959e-09
0.4096521.5366243.261529e-09
0.4102271.5365453.266106e-09
0.4108031.5364673.270689e-09
0.4113791.5363883.275279e-09
0.4119571.536313.279875e-09
0.4125351.5362323.284477e-09
0.4131141.5361553.289086e-09
0.4136941.5360773.293701e-09
0.4142741.5363.298323e-09
0.4148561.5359233.302951e-09
0.4154381.5358463.307586e-09
0.4160211.5357693.312227e-09
0.4166051.5356933.316875e-09
0.417191.5356173.321530e-09
0.4177751.5355413.326191e-09
0.4183621.5354653.330858e-09
0.4189491.535393.335532e-09
0.4195371.5353143.340212e-09
0.421.5352553.343900e-09
0.4201261.5352393.366917e-09
0.4207151.5351643.474999e-09
0.4213061.535093.583232e-09
0.4218971.5350153.691617e-09
0.4224891.5349413.800154e-09
0.4230821.5348673.908844e-09
0.4236761.5347944.017686e-09
0.4242711.534724.126681e-09
0.4248661.5346474.235828e-09
0.4254621.5345744.345130e-09
0.426061.5345014.454584e-09
0.4266581.5344284.564192e-09
0.4272561.5343564.673954e-09
0.4278561.5342844.783870e-09
0.4284571.5342124.893940e-09
0.4290581.534145.004165e-09
0.429661.5340695.114544e-09
0.4302631.5339975.225079e-09
0.4308671.5339265.335768e-09
0.4314721.5338555.446613e-09
0.4320771.5337855.557614e-09
0.4326841.5337145.668770e-09
0.4332911.5336445.780082e-09
0.4338991.5335745.891550e-09
0.4345081.5335046.003175e-09
0.4351181.5334356.114957e-09
0.4357291.5333656.226895e-09
0.436341.5332966.338991e-09
0.4369531.5332276.451244e-09
0.4375661.5331596.563654e-09
0.438181.533096.676222e-09
0.4387951.5330226.788949e-09
0.4394111.5329546.901833e-09
0.441.5328897.009800e-09
0.4400281.5328867.005165e-09
0.4406451.5328196.901799e-09
0.4412641.5327516.798287e-09
0.4418831.5326846.694630e-09
0.4425031.5326176.590828e-09
0.4431241.532556.486880e-09
0.4437461.5324846.382787e-09
0.4443691.5324176.278547e-09
0.4449931.5323516.174160e-09
0.4456171.5322856.069628e-09
0.4462431.5322195.964948e-09
0.4468691.5321545.860122e-09
0.4474961.5320885.755148e-09
0.4481241.5320235.650028e-09
0.4487531.5319585.544759e-09
0.4493831.5318945.439343e-09
0.4500141.5318295.333779e-09
0.4506451.5317655.228067e-09
0.4512781.5317015.122206e-09
0.4519111.5316375.016197e-09
0.4525461.5315734.910039e-09
0.4531811.531514.803732e-09
0.4538171.5314464.697276e-09
0.4544541.5313834.590671e-09
0.4550921.531324.483915e-09
0.455731.5312584.377010e-09
0.456371.5311954.269955e-09
0.4570111.5311334.162750e-09
0.4576521.5310714.055394e-09
0.4582941.5310093.947888e-09
0.4589381.5309473.840230e-09
0.4595821.5308853.732422e-09
0.461.5308463.662400e-09
0.4602271.5308243.664204e-09
0.4608731.5307633.669346e-09
0.4615191.5307023.674495e-09
0.4621671.5306413.679651e-09
0.4628161.5305813.684814e-09
0.4634651.530523.689985e-09
0.4641161.530463.695163e-09
0.4647671.53043.700348e-09
0.465421.530343.705541e-09
0.4660731.5302813.710740e-09
0.4667271.5302213.715947e-09
0.4673821.5301623.721162e-09
0.4680381.5301033.726383e-09
0.4686951.5300443.731612e-09
0.4693531.5299853.736848e-09
0.4700121.5299273.742092e-09
0.4706711.5298683.747343e-09
0.4713321.529813.752602e-09
0.4719931.5297523.757867e-09
0.4726561.5296943.763140e-09
0.4733191.5296373.768421e-09
0.4739841.5295793.773709e-09
0.4746491.5295223.779004e-09
0.4753151.5294653.784307e-09
0.4759821.5294083.789617e-09
0.476651.5293513.794935e-09
0.4773191.5292943.800260e-09
0.4779891.5292383.805593e-09
0.478661.5291823.810933e-09
0.4793321.5291263.816281e-09
0.481.529073.821600e-09
0.4800051.529073.821636e-09
0.4806781.5290143.827002e-09
0.4813531.5289593.832376e-09
0.4820281.5289033.837757e-09
0.4827051.5288483.843145e-09
0.4833821.5287933.848541e-09
0.4840611.5287383.853945e-09
0.484741.5286833.859357e-09
0.4854211.5286293.864776e-09
0.4861021.5285743.870202e-09
0.4867841.528523.875636e-09
0.4874671.5284663.881078e-09
0.4881521.5284123.886528e-09
0.4888371.5283593.891985e-09
0.4895231.5283053.897450e-09
0.490211.5282523.902922e-09
0.4908981.5281983.908402e-09
0.4915871.5281453.913890e-09
0.4922771.5280923.919385e-09
0.4929681.528043.924889e-09
0.493661.5279873.930400e-09
0.4943531.5279353.935918e-09
0.4950461.5278823.941445e-09
0.4957411.527833.946979e-09
0.4964371.5277783.952521e-09
0.4971341.5277263.958071e-09
0.4978321.5276753.963628e-09
0.498531.5276233.969193e-09
0.499231.5275723.974766e-09
0.4999311.5275213.980347e-09
0.51.5275163.980900e-09
0.5006321.5274693.985934e-09
0.5013351.5274193.991529e-09
0.5020391.5273683.997131e-09
0.5027431.5273174.002741e-09
0.5034491.5272674.008360e-09
0.5041551.5272164.013986e-09
0.5048631.5271664.019619e-09
0.5055721.5271164.025261e-09
0.5062811.5270664.030911e-09
0.5069921.5270174.036569e-09
0.5077031.5269674.042234e-09
0.5084161.5269184.047908e-09
0.509131.5268684.053589e-09
0.5098441.5268194.059279e-09
0.510561.526774.064976e-09
0.5112761.5267214.070682e-09
0.5119941.5266734.076395e-09
0.5127121.5266244.082117e-09
0.5134321.5265764.087846e-09
0.5141531.5265274.093584e-09
0.5148741.5264794.099329e-09
0.5155971.5264314.105083e-09
0.5163211.5263834.110845e-09
0.5170451.5263354.116614e-09
0.5177711.5262884.122392e-09
0.5184981.526244.128178e-09
0.5192251.5261934.133973e-09
0.5199541.5261464.139775e-09
0.5206841.5260994.145585e-09
0.5214151.5260524.151404e-09
0.5221471.5260054.157231e-09
0.5228791.5259584.163066e-09
0.5236131.5259124.168909e-09
0.5243481.5258654.174760e-09
0.5250841.5258194.180620e-09
0.5258211.5257734.186487e-09
0.5265591.5257274.192363e-09
0.5272981.5256814.198248e-09
0.5280381.5256354.204140e-09
0.5287791.5255894.210041e-09
0.5295211.5255444.215950e-09
0.5302651.5254994.221867e-09
0.5310091.5254534.227793e-09
0.5317541.5254084.233727e-09
0.5325011.5253634.239669e-09
0.5332481.5253184.245620e-09
0.5339961.5252734.251579e-09
0.5347461.5252294.257546e-09
0.5354961.5251844.263522e-09
0.5362481.525144.269506e-09
0.5370011.5250964.275499e-09
0.5377541.5250524.281500e-09
0.5385091.5250074.287509e-09
0.5392651.5249644.293527e-09
0.5400221.524924.299553e-09
0.540781.5248764.305588e-09
0.5415391.5248334.311631e-09
0.5422991.5247894.317682e-09
0.543061.5247464.323743e-09
0.5438221.5247034.329811e-09
0.5445851.524664.335888e-09
0.545351.5246174.341974e-09
0.5461151.5245744.348068e-09
0.5468821.5245314.354171e-09
0.5476491.5244884.360282e-09
0.5484181.5244464.366402e-09
0.5491871.5244044.372531e-09
0.5499581.5243614.378668e-09
0.551.5243594.379000e-09
0.550731.5243194.384812e-09
0.5515031.5242774.390965e-09
0.5522771.5242354.397126e-09
0.5530521.5241934.403297e-09
0.5538291.5241524.409475e-09
0.5546061.524114.415663e-09
0.5553841.5240694.421859e-09
0.5561641.5240274.428064e-09
0.5569441.5239864.434277e-09
0.5577261.5239454.440499e-09
0.5585091.5239044.446730e-09
0.5592931.5238634.452970e-09
0.5600781.5238224.459219e-09
0.5608641.5237814.465476e-09
0.5616511.5237414.471742e-09
0.5624391.52374.478017e-09
0.5632291.523664.484300e-09
0.5640191.5236194.490593e-09
0.5648111.5235794.496894e-09
0.5656041.5235394.503204e-09
0.5663971.5234994.509523e-09
0.5671921.5234594.515851e-09
0.5679881.523424.522188e-09
0.5687861.523384.528533e-09
0.5695841.523344.534888e-09
0.5703831.5233014.541251e-09
0.5711841.5232624.547624e-09
0.5719861.5232224.554005e-09
0.5727881.5231834.560395e-09
0.5735921.5231444.566795e-09
0.5743971.5231054.573203e-09
0.5752041.5230664.579620e-09
0.5760111.5230284.586046e-09
0.5768191.5229894.592481e-09
0.5776291.522954.598926e-09
0.578441.5229124.605379e-09
0.5792511.5228744.611841e-09
0.5800641.5228354.618313e-09
0.5808791.5227974.624793e-09
0.5816941.5227594.631283e-09
0.582511.5227214.637782e-09
0.5833281.5226844.644290e-09
0.5841471.5226464.650807e-09
0.5849661.5226084.657333e-09
0.5857871.5225714.663868e-09
0.586611.5225334.670413e-09
0.5874331.5224964.676966e-09
0.5882571.5224584.683529e-09
0.5890831.5224214.690101e-09
0.589911.5223844.696682e-09
0.5907381.5223474.703273e-09
0.5915671.522314.709873e-09
0.5923971.5222744.716482e-09
0.5932291.5222374.723100e-09
0.5940611.52224.729728e-09
0.5948951.5221644.736365e-09
0.595731.5221274.743011e-09
0.5965661.5220914.749666e-09
0.5974031.5220554.756331e-09
0.5982421.5220194.763006e-09
0.5990821.5219834.769689e-09
0.5999221.5219474.776382e-09
0.61.5219434.777000e-09
0.6007641.5219114.783086e-09
0.6016081.5218754.789800e-09
0.6024521.5218394.796523e-09
0.6032981.5218044.803255e-09
0.6041441.5217684.809997e-09
0.6049921.5217334.816748e-09
0.6058411.5216974.823509e-09
0.6066921.5216624.830279e-09
0.6075431.5216274.837059e-09
0.6083961.5215924.843848e-09
0.609251.5215574.850647e-09
0.6101051.5215224.857455e-09
0.6109611.5214874.864273e-09
0.6118191.5214534.871100e-09
0.6126771.5214184.877937e-09
0.6135371.5213844.884784e-09
0.6143981.5213494.891640e-09
0.6152611.5213154.898506e-09
0.6161241.5212814.905381e-09
0.6169891.5212464.912266e-09
0.6178551.5212124.919161e-09
0.6187221.5211784.926066e-09
0.6195911.5211444.932980e-09
0.620461.521114.939904e-09
0.6213311.5210774.946837e-09
0.6222031.5210434.953781e-09
0.6230761.5210094.960734e-09
0.6239511.5209764.967697e-09
0.6248271.5209434.974669e-09
0.6257041.5209094.981652e-09
0.6265821.5208764.988644e-09
0.6274611.5208434.995646e-09
0.6283421.520815.002658e-09
0.6292241.5207775.009679e-09
0.6301071.5207445.016711e-09
0.6309911.5207115.023752e-09
0.6318771.5206785.030803e-09
0.6327641.5206465.037865e-09
0.6336521.5206135.044936e-09
0.6345411.5205815.052017e-09
0.6354321.5205485.059108e-09
0.6363241.5205165.066208e-09
0.6372171.5204845.073319e-09
0.6381111.5204515.080440e-09
0.6390071.5204195.087571e-09
0.6399041.5203875.094712e-09
0.6408021.5203555.101863e-09
0.6417011.5203245.109024e-09
0.6426021.5202925.116194e-09
0.6435041.520265.123375e-09
0.6444071.5202295.130567e-09
0.6453111.5201975.137768e-09
0.6462171.5201665.144979e-09
0.6471241.5201345.152200e-09
0.6480321.5201035.159432e-09
0.6489421.5200725.166674e-09
0.6498521.5200415.173926e-09
0.651.5200365.175100e-09
0.6507651.520015.095964e-09
0.6516781.5199795.001429e-09
0.6525931.5199484.906761e-09
0.6535091.5199174.811960e-09
0.6544261.5198864.717026e-09
0.6553441.5198554.621959e-09
0.6562641.5198254.526758e-09
0.6571851.5197944.431424e-09
0.6581081.5197644.335956e-09
0.6590311.5197344.240354e-09
0.6599561.5197034.144617e-09
0.6608821.5196734.048747e-09
0.661811.5196433.952742e-09
0.6627391.5196133.856602e-09
0.6636691.5195833.760327e-09
0.6646011.5195533.663917e-09
0.6655331.5195233.567372e-09
0.6664671.5194943.470691e-09
0.6674031.5194643.373874e-09
0.668341.5194343.276922e-09
0.6692781.5194053.179834e-09
0.6702171.5193753.082609e-09
0.6711581.5193462.985248e-09
0.67211.5193172.887750e-09
0.6730431.5192882.790115e-09
0.6739881.5192592.692343e-09
0.6749331.5192292.594435e-09
0.6758811.5192012.496388e-09
0.6768291.5191722.398204e-09
0.6777791.5191432.299883e-09
0.6787311.5191142.201423e-09
0.6796831.5190852.102825e-09
0.6806371.5190572.004089e-09
0.6815921.5190281.905214e-09
0.6825491.5191.806200e-09
0.6835071.5189711.707047e-09
0.6844661.5189431.607755e-09
0.6854271.5189151.508324e-09
0.6863891.5188871.408754e-09
0.6873521.5188591.309043e-09
0.6883171.5188311.209193e-09
0.6892831.5188031.109202e-09
0.6902511.5187751.009071e-09
0.6912191.5187479.087998e-10
0.692191.5187198.083876e-10
0.6931611.5186927.078345e-10
0.6941341.5186646.071402e-10
0.6951081.5186375.063047e-10
0.6960841.5186094.053276e-10
0.6970611.5185823.042088e-10
0.6980391.5185552.029480e-10
0.6990191.5185271.015452e-10
0.71.51850

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
—