Optical constants

Refractive index of K3 (HIKARI)

K3: 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
1.51823
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.30502
Permittivity ε2
1.42054e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
58.909
Chromatic dispersion dn/dλ
-0.0454007 µm⁻¹
Group index ng
1.54491
Group velocity dispersion
79.6848 fs²/mm
Dispersion parameter D
-434.723 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

# K3 (HIKARI): K3
hikari_k3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "K3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_k3.range_nm)  # (400, 700) nm
eps = hikari_k3.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=2.27187−0.008333884⁢λ2.0+0.0119425⁢λ−2.0+0.0001494434⁢λ−4.0+8.303797×10-6⁢λ−6.0−2.694974×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.27187
C2-0.008333884
C32.0
C40.0119425
C5-2.0
C60.0001494434
C7-4.0
C88.303797e-06
C9-6.0
C10-2.694974e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.518230
Vd
58.909268
glass code
518589
glass status
preferred
density
value: 2540
thermal expansion
value: 1.07e-05, temperature range: 243 343
dPgF
-0.0001

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
K3 (HIKARI), K3: n and k versus wavelength
λ (µm)nk
0.41.5338293.184700e-09
0.4005611.5337453.189169e-09
0.4011241.5336613.193644e-09
0.4016871.5335773.198125e-09
0.402251.5334943.202613e-09
0.4028151.5334113.207107e-09
0.403381.5333283.211607e-09
0.4039461.5332463.216114e-09
0.4045131.5331643.220627e-09
0.4050811.5330823.225146e-09
0.405651.5333.229672e-09
0.4062191.5329193.234204e-09
0.4067891.5328383.238742e-09
0.407361.5327573.243287e-09
0.4079321.5326763.247838e-09
0.4085041.5325963.252395e-09
0.4090781.5325163.256959e-09
0.4096521.5324363.261529e-09
0.4102271.5323563.266106e-09
0.4108031.5322773.270689e-09
0.4113791.5321983.275279e-09
0.4119571.5321193.279875e-09
0.4125351.5320413.284477e-09
0.4131141.5319623.289086e-09
0.4136941.5318843.293701e-09
0.4142741.5318063.298323e-09
0.4148561.5317293.302951e-09
0.4154381.5316523.307586e-09
0.4160211.5315753.312227e-09
0.4166051.5314983.316875e-09
0.417191.5314213.321530e-09
0.4177751.5313453.326191e-09
0.4183621.5312693.330858e-09
0.4189491.5311933.335532e-09
0.4195371.5311173.340212e-09
0.421.5310583.343900e-09
0.4201261.5310423.344900e-09
0.4207151.5309673.349597e-09
0.4213061.5308923.354300e-09
0.4218971.5308173.359010e-09
0.4224891.5307433.363726e-09
0.4230821.5306693.368449e-09
0.4236761.5305953.373179e-09
0.4242711.5305213.377915e-09
0.4248661.5304473.382658e-09
0.4254621.5303743.387408e-09
0.426061.5303013.392164e-09
0.4266581.5302283.396927e-09
0.4272561.5301563.401697e-09
0.4278561.5300833.406473e-09
0.4284571.5300113.411256e-09
0.4290581.5299393.416046e-09
0.429661.5298683.420843e-09
0.4302631.5297963.425646e-09
0.4308671.5297253.430456e-09
0.4314721.5296543.435272e-09
0.4320771.5295833.440096e-09
0.4326841.5295133.444926e-09
0.4332911.5294433.449763e-09
0.4338991.5293733.454607e-09
0.4345081.5293033.459458e-09
0.4351181.5292333.464315e-09
0.4357291.5291643.469179e-09
0.436341.5290943.474050e-09
0.4369531.5290253.478928e-09
0.4375661.5289573.483813e-09
0.438181.5288883.488705e-09
0.4387951.528823.493603e-09
0.4394111.5287513.498508e-09
0.441.5286873.503200e-09
0.4400281.5286843.503420e-09
0.4406451.5286163.508336e-09
0.4412641.5285483.513259e-09
0.4418831.5284813.518189e-09
0.4425031.5284143.523126e-09
0.4431241.5283473.528070e-09
0.4437461.528283.533020e-09
0.4443691.5282143.537978e-09
0.4449931.5281483.542942e-09
0.4456171.5280823.547914e-09
0.4462431.5280163.552892e-09
0.4468691.527953.557878e-09
0.4474961.5278853.562870e-09
0.4481241.5278193.567870e-09
0.4487531.5277543.572876e-09
0.4493831.5276893.577890e-09
0.4500141.5276253.582910e-09
0.4506451.527563.587938e-09
0.4512781.5274963.592973e-09
0.4519111.5274323.598014e-09
0.4525461.5273683.603063e-09
0.4531811.5273053.608119e-09
0.4538171.5272413.613182e-09
0.4544541.5271783.618252e-09
0.4550921.5271153.623329e-09
0.455731.5270523.628414e-09
0.456371.5269893.633505e-09
0.4570111.5269273.638604e-09
0.4576521.5268643.643709e-09
0.4582941.5268023.648822e-09
0.4589381.526743.653943e-09
0.4595821.5266793.659070e-09
0.461.5266393.662400e-09
0.4602271.5266173.664204e-09
0.4608731.5265563.669346e-09
0.4615191.5264943.674495e-09
0.4621671.5264333.679651e-09
0.4628161.5263733.684814e-09
0.4634651.5263123.689985e-09
0.4641161.5262523.695163e-09
0.4647671.5261913.700348e-09
0.465421.5261313.705541e-09
0.4660731.5260713.710740e-09
0.4667271.5260123.715947e-09
0.4673821.5259523.721162e-09
0.4680381.5258933.726383e-09
0.4686951.5258343.731612e-09
0.4693531.5257753.736848e-09
0.4700121.5257163.742092e-09
0.4706711.5256573.747343e-09
0.4713321.5255993.752602e-09
0.4719931.525543.757867e-09
0.4726561.5254823.763140e-09
0.4733191.5254243.768421e-09
0.4739841.5253673.773709e-09
0.4746491.5253093.779004e-09
0.4753151.5252523.784307e-09
0.4759821.5251943.789617e-09
0.476651.5251373.794935e-09
0.4773191.525083.800260e-09
0.4779891.5250243.805593e-09
0.478661.5249673.810933e-09
0.4793321.5249113.816281e-09
0.481.5248553.821600e-09
0.4800051.5248543.821636e-09
0.4806781.5247983.827002e-09
0.4813531.5247423.832376e-09
0.4820281.5246873.837757e-09
0.4827051.5246313.843145e-09
0.4833821.5245763.848541e-09
0.4840611.5245213.853945e-09
0.484741.5244663.859357e-09
0.4854211.5244113.864776e-09
0.4861021.5243563.870202e-09
0.4867841.5243013.875636e-09
0.4874671.5242473.881078e-09
0.4881521.5241933.886528e-09
0.4888371.5241393.891985e-09
0.4895231.5240853.897450e-09
0.490211.5240313.902922e-09
0.4908981.5239773.908402e-09
0.4915871.5239243.913890e-09
0.4922771.523873.919385e-09
0.4929681.5238173.924889e-09
0.493661.5237643.930400e-09
0.4943531.5237113.935918e-09
0.4950461.5236593.941445e-09
0.4957411.5236063.946979e-09
0.4964371.5235543.952521e-09
0.4971341.5235023.958071e-09
0.4978321.523453.963628e-09
0.498531.5233983.969193e-09
0.499231.5233463.974766e-09
0.4999311.5232943.980347e-09
0.51.5232893.980900e-09
0.5006321.5232433.985934e-09
0.5013351.5231923.991529e-09
0.5020391.523143.997131e-09
0.5027431.5230894.002741e-09
0.5034491.5230394.008360e-09
0.5041551.5229884.013986e-09
0.5048631.5229374.019619e-09
0.5055721.5228874.025261e-09
0.5062811.5228374.030911e-09
0.5069921.5227864.036569e-09
0.5077031.5227364.042234e-09
0.5084161.5226874.047908e-09
0.509131.5226374.053589e-09
0.5098441.5225874.059279e-09
0.510561.5225384.064976e-09
0.5112761.5224894.070682e-09
0.5119941.522444.076395e-09
0.5127121.5223914.082117e-09
0.5134321.5223424.087846e-09
0.5141531.5222934.093584e-09
0.5148741.5222444.099329e-09
0.5155971.5221964.105083e-09
0.5163211.5221484.110845e-09
0.5170451.52214.116614e-09
0.5177711.5220524.122392e-09
0.5184981.5220044.128178e-09
0.5192251.5219564.133973e-09
0.5199541.5219084.139775e-09
0.5206841.5218614.145585e-09
0.5214151.5218144.151404e-09
0.5221471.5217664.157231e-09
0.5228791.5217194.163066e-09
0.5236131.5216724.168909e-09
0.5243481.5216264.174760e-09
0.5250841.5215794.180620e-09
0.5258211.5215324.186487e-09
0.5265591.5214864.192363e-09
0.5272981.521444.198248e-09
0.5280381.5213944.204140e-09
0.5287791.5213484.210041e-09
0.5295211.5213024.215950e-09
0.5302651.5212564.221867e-09
0.5310091.521214.227793e-09
0.5317541.5211654.233727e-09
0.5325011.521124.239669e-09
0.5332481.5210744.245620e-09
0.5339961.5210294.251579e-09
0.5347461.5209844.257546e-09
0.5354961.5209394.263522e-09
0.5362481.5208954.269506e-09
0.5370011.520854.275499e-09
0.5377541.5208064.281500e-09
0.5385091.5207614.287509e-09
0.5392651.5207174.293527e-09
0.5400221.5206734.299553e-09
0.540781.5206294.305588e-09
0.5415391.5205854.311631e-09
0.5422991.5205414.317682e-09
0.543061.5204984.323743e-09
0.5438221.5204544.329811e-09
0.5445851.5204114.335888e-09
0.545351.5203684.341974e-09
0.5461151.5203254.348068e-09
0.5468821.5202814.354171e-09
0.5476491.5202394.360282e-09
0.5484181.5201964.366402e-09
0.5491871.5201534.372531e-09
0.5499581.5201114.378668e-09
0.551.5201084.379000e-09
0.550731.5200684.384812e-09
0.5515031.5200264.390965e-09
0.5522771.5199844.397126e-09
0.5530521.5199424.403297e-09
0.5538291.51994.409475e-09
0.5546061.5198584.415663e-09
0.5553841.5198164.421859e-09
0.5561641.5197744.428064e-09
0.5569441.5197334.434277e-09
0.5577261.5196924.440499e-09
0.5585091.519654.446730e-09
0.5592931.5196094.452970e-09
0.5600781.5195684.459219e-09
0.5608641.5195274.465476e-09
0.5616511.5194864.471742e-09
0.5624391.5194464.478017e-09
0.5632291.5194054.484300e-09
0.5640191.5193644.490593e-09
0.5648111.5193244.496894e-09
0.5656041.5192844.503204e-09
0.5663971.5192444.509523e-09
0.5671921.5192044.515851e-09
0.5679881.5191644.522188e-09
0.5687861.5191244.528533e-09
0.5695841.5190844.534888e-09
0.5703831.5190444.541251e-09
0.5711841.5190054.547624e-09
0.5719861.5189654.554005e-09
0.5727881.5189264.560395e-09
0.5735921.5188874.566795e-09
0.5743971.5188484.573203e-09
0.5752041.5188094.579620e-09
0.5760111.518774.586046e-09
0.5768191.5187314.592481e-09
0.5776291.5186924.598926e-09
0.578441.5186544.605379e-09
0.5792511.5186154.611841e-09
0.5800641.5185774.618313e-09
0.5808791.5185394.624793e-09
0.5816941.51854.631283e-09
0.582511.5184624.637782e-09
0.5833281.5184244.644290e-09
0.5841471.5183864.650807e-09
0.5849661.5183494.657333e-09
0.5857871.5183114.663868e-09
0.586611.5182734.670413e-09
0.5874331.5182364.676966e-09
0.5882571.5181994.683529e-09
0.5890831.5181614.690101e-09
0.589911.5181244.696682e-09
0.5907381.5180874.703273e-09
0.5915671.518054.709873e-09
0.5923971.5180134.716482e-09
0.5932291.5179764.723100e-09
0.5940611.517944.729728e-09
0.5948951.5179034.736365e-09
0.595731.5178664.743011e-09
0.5965661.517834.749666e-09
0.5974031.5177944.756331e-09
0.5982421.5177574.763006e-09
0.5990821.5177214.769689e-09
0.5999221.5176854.776382e-09
0.61.5176824.777000e-09
0.6007641.5176494.783086e-09
0.6016081.5176134.789800e-09
0.6024521.5175784.796523e-09
0.6032981.5175424.803255e-09
0.6041441.5175064.809997e-09
0.6049921.5174714.816748e-09
0.6058411.5174354.823509e-09
0.6066921.51744.830279e-09
0.6075431.5173654.837059e-09
0.6083961.517334.843848e-09
0.609251.5172954.850647e-09
0.6101051.517264.857455e-09
0.6109611.5172254.864273e-09
0.6118191.517194.871100e-09
0.6126771.5171554.877937e-09
0.6135371.5171214.884784e-09
0.6143981.5170864.891640e-09
0.6152611.5170524.898506e-09
0.6161241.5170184.905381e-09
0.6169891.5169834.912266e-09
0.6178551.5169494.919161e-09
0.6187221.5169154.926066e-09
0.6195911.5168814.932980e-09
0.620461.5168474.939904e-09
0.6213311.5168134.946837e-09
0.6222031.516784.953781e-09
0.6230761.5167464.960734e-09
0.6239511.5167124.967697e-09
0.6248271.5166794.974669e-09
0.6257041.5166454.981652e-09
0.6265821.5166124.988644e-09
0.6274611.5165794.995646e-09
0.6283421.5165465.002658e-09
0.6292241.5165135.009679e-09
0.6301071.516485.016711e-09
0.6309911.5164475.023752e-09
0.6318771.5164145.030803e-09
0.6327641.5163815.037865e-09
0.6336521.5163485.044936e-09
0.6345411.5163165.052017e-09
0.6354321.5162835.059108e-09
0.6363241.5162515.066208e-09
0.6372171.5162185.073319e-09
0.6381111.5161865.080440e-09
0.6390071.5161545.087571e-09
0.6399041.5161225.094712e-09
0.6408021.516095.101863e-09
0.6417011.5160585.109024e-09
0.6426021.5160265.116194e-09
0.6435041.5159945.123375e-09
0.6444071.5159625.130567e-09
0.6453111.5159315.137768e-09
0.6462171.5158995.144979e-09
0.6471241.5158685.152200e-09
0.6480321.5158365.159432e-09
0.6489421.5158055.166674e-09
0.6498521.5157745.173926e-09
0.651.5157685.175100e-09
0.6507651.5157425.181188e-09
0.6516781.5157115.188460e-09
0.6525931.515685.195742e-09
0.6535091.5156495.203035e-09
0.6544261.5156185.210338e-09
0.6553441.5155875.217651e-09
0.6562641.5155575.224974e-09
0.6571851.5155265.232308e-09
0.6581081.5154955.239652e-09
0.6590311.5154655.247006e-09
0.6599561.5154345.254371e-09
0.6608821.5154045.261746e-09
0.661811.5153735.269131e-09
0.6627391.5153435.276527e-09
0.6636691.5153135.283933e-09
0.6646011.5152835.291349e-09
0.6655331.5152535.298776e-09
0.6664671.5152235.306213e-09
0.6674031.5151935.313661e-09
0.668341.5151635.321119e-09
0.6692781.5151335.328588e-09
0.6702171.5151045.336067e-09
0.6711581.5150745.343557e-09
0.67211.5150445.351057e-09
0.6730431.5150155.358567e-09
0.6739881.5149855.366089e-09
0.6749331.5149565.373620e-09
0.6758811.5149275.381163e-09
0.6768291.5148975.388716e-09
0.6777791.5148685.396279e-09
0.6787311.5148395.403853e-09
0.6796831.514815.411438e-09
0.6806371.5147815.419033e-09
0.6815921.5147525.426639e-09
0.6825491.5147235.434256e-09
0.6835071.5146955.441884e-09
0.6844661.5146665.449522e-09
0.6854271.5146375.457171e-09
0.6863891.5146095.464830e-09
0.6873521.514585.472500e-09
0.6883171.5145525.480182e-09
0.6892831.5145235.487873e-09
0.6902511.5144955.495576e-09
0.6912191.5144675.503290e-09
0.692191.5144385.511014e-09
0.6931611.514415.518749e-09
0.6941341.5143825.526495e-09
0.6951081.5143545.534252e-09
0.6960841.5143265.542020e-09
0.6970611.5142985.549798e-09
0.6980391.5142715.557588e-09
0.6990191.5142435.565389e-09
0.71.5142155.573200e-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
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Phase φp
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Phase φs
—
Brewster angle θB
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Critical angle θC
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