Optical constants

Refractive index of SK15 (HIKARI)

SK15: 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
1.62299
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.63409
Permittivity ε2
1.51856e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
58.225
Chromatic dispersion dn/dλ
-0.0552092 µm⁻¹
Group index ng
1.65543
Group velocity dispersion
97.333 fs²/mm
Dispersion parameter D
-531.003 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

# SK15 (HIKARI): SK15
hikari_sk15 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SK15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sk15.range_nm)  # (400, 700) nm
eps = hikari_sk15.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=2.595129−0.01330175⁢λ2.0+0.01295053⁢λ−2.0+0.000946977⁢λ−4.0−9.281618×10-5⁢λ−6.0+5.074742×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.595129
C2-0.01330175
C32.0
C40.01295053
C5-2.0
C60.000946977
C7-4.0
C8-9.281618e-05
C9-6.0
C105.074742e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.622990
Vd
58.225167
glass code
623582
glass status
preferred
density
value: 3660
thermal expansion
value: 8.1e-06, temperature range: 243 343
dPgF
-0.0018

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
SK15 (HIKARI), SK15: n and k versus wavelength
λ (µm)nk
0.41.6419553.520800e-08
0.4005611.6418533.478430e-08
0.4011241.6417513.436001e-08
0.4016871.6416493.393512e-08
0.402251.6415483.350964e-08
0.4028151.6414473.308356e-08
0.403381.6413463.265688e-08
0.4039461.6412463.222960e-08
0.4045131.6411463.180172e-08
0.4050811.6410463.137324e-08
0.405651.6409473.094416e-08
0.4062191.6408483.051448e-08
0.4067891.6407493.008420e-08
0.407361.640652.965331e-08
0.4079321.6405522.922181e-08
0.4085041.6404552.878971e-08
0.4090781.6403572.835701e-08
0.4096521.640262.792370e-08
0.4102271.6401642.748977e-08
0.4108031.6400672.705524e-08
0.4113791.6399712.662010e-08
0.4119571.6398752.618435e-08
0.4125351.639782.574799e-08
0.4131141.6396852.531101e-08
0.4136941.639592.487343e-08
0.4142741.6394952.443522e-08
0.4148561.6394012.399641e-08
0.4154381.6393072.355697e-08
0.4160211.6392132.311692e-08
0.4166051.639122.267626e-08
0.417191.6390272.223497e-08
0.4177751.6389342.179306e-08
0.4183621.6388422.135054e-08
0.4189491.638752.090739e-08
0.4195371.6386582.046362e-08
0.421.6385862.011400e-08
0.4201261.6385662.007583e-08
0.4207151.6384751.989657e-08
0.4213061.6383841.971706e-08
0.4218971.6382931.953730e-08
0.4224891.6382031.935729e-08
0.4230821.6381131.917702e-08
0.4236761.6380231.899651e-08
0.4242711.6379331.881574e-08
0.4248661.6378441.863471e-08
0.4254621.6377551.845343e-08
0.426061.6376671.827190e-08
0.4266581.6375781.809011e-08
0.4272561.637491.790807e-08
0.4278561.6374021.772577e-08
0.4284571.6373151.754321e-08
0.4290581.6372271.736040e-08
0.429661.637141.717734e-08
0.4302631.6370541.699401e-08
0.4308671.6369671.681043e-08
0.4314721.6368811.662659e-08
0.4320771.6367951.644249e-08
0.4326841.6367091.625814e-08
0.4332911.6366241.607352e-08
0.4338991.6365391.588865e-08
0.4345081.6364541.570352e-08
0.4351181.6363691.551812e-08
0.4357291.6362851.533247e-08
0.436341.6362011.514656e-08
0.4369531.6361171.496038e-08
0.4375661.6360341.477395e-08
0.438181.635951.458725e-08
0.4387951.6358671.440029e-08
0.4394111.6357851.421307e-08
0.441.6357061.403400e-08
0.4400281.6357021.401964e-08
0.4406451.635621.369937e-08
0.4412641.6355381.337865e-08
0.4418831.6354561.305748e-08
0.4425031.6353751.273586e-08
0.4431241.6352941.241378e-08
0.4437461.6352131.209126e-08
0.4443691.6351321.176828e-08
0.4449931.6350511.144485e-08
0.4456171.6349711.112097e-08
0.4462431.6348911.079663e-08
0.4468691.6348111.047183e-08
0.4474961.6347321.014658e-08
0.4481241.6346539.820875e-09
0.4487531.6345749.494711e-09
0.4493831.6344959.168089e-09
0.4500141.6344168.841009e-09
0.4506451.6343388.513470e-09
0.4512781.634268.185471e-09
0.4519111.6341827.857012e-09
0.4525461.6341057.528091e-09
0.4531811.6340277.198709e-09
0.4538171.633956.868865e-09
0.4544541.6338736.538558e-09
0.4550921.6337976.207787e-09
0.455731.633725.876552e-09
0.456371.6336445.544852e-09
0.4570111.6335685.212687e-09
0.4576521.6334934.880055e-09
0.4582941.6334174.546956e-09
0.4589381.6333424.213390e-09
0.4595821.6332673.879356e-09
0.461.6332183.662400e-09
0.4602271.6331923.664204e-09
0.4608731.6331173.669346e-09
0.4615191.6330433.674495e-09
0.4621671.6329693.679651e-09
0.4628161.6328953.684814e-09
0.4634651.6328213.689985e-09
0.4641161.6327483.695163e-09
0.4647671.6326753.700348e-09
0.465421.6326023.705541e-09
0.4660731.6325293.710740e-09
0.4667271.6324563.715947e-09
0.4673821.6323843.721162e-09
0.4680381.6323123.726383e-09
0.4686951.632243.731612e-09
0.4693531.6321683.736848e-09
0.4700121.6320973.742092e-09
0.4706711.6320253.747343e-09
0.4713321.6319543.752602e-09
0.4719931.6318843.757867e-09
0.4726561.6318133.763140e-09
0.4733191.6317433.768421e-09
0.4739841.6316723.773709e-09
0.4746491.6316023.779004e-09
0.4753151.6315323.784307e-09
0.4759821.6314633.789617e-09
0.476651.6313933.794935e-09
0.4773191.6313243.800260e-09
0.4779891.6312553.805593e-09
0.478661.6311873.810933e-09
0.4793321.6311183.816281e-09
0.481.631053.821600e-09
0.4800051.631053.821636e-09
0.4806781.6309813.827002e-09
0.4813531.6309133.832376e-09
0.4820281.6308463.837757e-09
0.4827051.6307783.843145e-09
0.4833821.6307113.848541e-09
0.4840611.6306443.853945e-09
0.484741.6305773.859357e-09
0.4854211.630513.864776e-09
0.4861021.6304433.870202e-09
0.4867841.6303773.875636e-09
0.4874671.6303113.881078e-09
0.4881521.6302453.886528e-09
0.4888371.6301793.891985e-09
0.4895231.6301133.897450e-09
0.490211.6300483.902922e-09
0.4908981.6299833.908402e-09
0.4915871.6299183.913890e-09
0.4922771.6298533.919385e-09
0.4929681.6297883.924889e-09
0.493661.6297243.930400e-09
0.4943531.629663.935918e-09
0.4950461.6295953.941445e-09
0.4957411.6295323.946979e-09
0.4964371.6294683.952521e-09
0.4971341.6294043.958071e-09
0.4978321.6293413.963628e-09
0.498531.6292783.969193e-09
0.499231.6292153.974766e-09
0.4999311.6291523.980347e-09
0.51.6291463.980900e-09
0.5006321.6290893.985934e-09
0.5013351.6290273.991529e-09
0.5020391.6289653.997131e-09
0.5027431.6289034.002741e-09
0.5034491.6288414.008360e-09
0.5041551.6287794.013986e-09
0.5048631.6287184.019619e-09
0.5055721.6286564.025261e-09
0.5062811.6285954.030911e-09
0.5069921.6285344.036569e-09
0.5077031.6284734.042234e-09
0.5084161.6284134.047908e-09
0.509131.6283524.053589e-09
0.5098441.6282924.059279e-09
0.510561.6282324.064976e-09
0.5112761.6281724.070682e-09
0.5119941.6281124.076395e-09
0.5127121.6280524.082117e-09
0.5134321.6279934.087846e-09
0.5141531.6279344.093584e-09
0.5148741.6278754.099329e-09
0.5155971.6278164.105083e-09
0.5163211.6277574.110845e-09
0.5170451.6276984.116614e-09
0.5177711.627644.122392e-09
0.5184981.6275824.128178e-09
0.5192251.6275244.133973e-09
0.5199541.6274664.139775e-09
0.5206841.6274084.145585e-09
0.5214151.627354.151404e-09
0.5221471.6272934.157231e-09
0.5228791.6272364.163066e-09
0.5236131.6271784.168909e-09
0.5243481.6271214.174760e-09
0.5250841.6270654.180620e-09
0.5258211.6270084.186487e-09
0.5265591.6269524.192363e-09
0.5272981.6268954.198248e-09
0.5280381.6268394.204140e-09
0.5287791.6267834.210041e-09
0.5295211.6267274.215950e-09
0.5302651.6266724.221867e-09
0.5310091.6266164.227793e-09
0.5317541.6265614.233727e-09
0.5325011.6265064.239669e-09
0.5332481.6264514.245620e-09
0.5339961.6263964.251579e-09
0.5347461.6263414.257546e-09
0.5354961.6262864.263522e-09
0.5362481.6262324.269506e-09
0.5370011.6261784.275499e-09
0.5377541.6261244.281500e-09
0.5385091.626074.287509e-09
0.5392651.6260164.293527e-09
0.5400221.6259624.299553e-09
0.540781.6259094.305588e-09
0.5415391.6258554.311631e-09
0.5422991.6258024.317682e-09
0.543061.6257494.323743e-09
0.5438221.6256964.329811e-09
0.5445851.6256434.335888e-09
0.545351.6255914.341974e-09
0.5461151.6255384.348068e-09
0.5468821.6254864.354171e-09
0.5476491.6254334.360282e-09
0.5484181.6253814.366402e-09
0.5491871.6253294.372531e-09
0.5499581.6252784.378668e-09
0.551.6252754.379000e-09
0.550731.6252264.384812e-09
0.5515031.6251754.390965e-09
0.5522771.6251234.397126e-09
0.5530521.6250724.403297e-09
0.5538291.6250214.409475e-09
0.5546061.624974.415663e-09
0.5553841.6249194.421859e-09
0.5561641.6248694.428064e-09
0.5569441.6248184.434277e-09
0.5577261.6247684.440499e-09
0.5585091.6247184.446730e-09
0.5592931.6246684.452970e-09
0.5600781.6246184.459219e-09
0.5608641.6245684.465476e-09
0.5616511.6245184.471742e-09
0.5624391.6244694.478017e-09
0.5632291.6244194.484300e-09
0.5640191.624374.490593e-09
0.5648111.6243214.496894e-09
0.5656041.6242724.503204e-09
0.5663971.6242234.509523e-09
0.5671921.6241744.515851e-09
0.5679881.6241254.522188e-09
0.5687861.6240774.528533e-09
0.5695841.6240294.534888e-09
0.5703831.623984.541251e-09
0.5711841.6239324.547624e-09
0.5719861.6238844.554005e-09
0.5727881.6238374.560395e-09
0.5735921.6237894.566795e-09
0.5743971.6237414.573203e-09
0.5752041.6236944.579620e-09
0.5760111.6236474.586046e-09
0.5768191.6235994.592481e-09
0.5776291.6235524.598926e-09
0.578441.6235054.605379e-09
0.5792511.6234594.611841e-09
0.5800641.6234124.618313e-09
0.5808791.6233654.624793e-09
0.5816941.6233194.631283e-09
0.582511.6232734.637782e-09
0.5833281.6232264.644290e-09
0.5841471.623184.650807e-09
0.5849661.6231344.657333e-09
0.5857871.6230884.663868e-09
0.586611.6230434.670413e-09
0.5874331.6229974.676966e-09
0.5882571.6229524.683529e-09
0.5890831.6229064.690101e-09
0.589911.6228614.696682e-09
0.5907381.6228164.703273e-09
0.5915671.6227714.709873e-09
0.5923971.6227264.716482e-09
0.5932291.6226814.723100e-09
0.5940611.6226374.729728e-09
0.5948951.6225924.736365e-09
0.595731.6225484.743011e-09
0.5965661.6225044.749666e-09
0.5974031.6224594.756331e-09
0.5982421.6224154.763006e-09
0.5990821.6223714.769689e-09
0.5999221.6223284.776382e-09
0.61.6223244.777000e-09
0.6007641.6222844.783086e-09
0.6016081.622244.789800e-09
0.6024521.6221974.796523e-09
0.6032981.6221534.803255e-09
0.6041441.622114.809997e-09
0.6049921.6220674.816748e-09
0.6058411.6220244.823509e-09
0.6066921.6219814.830279e-09
0.6075431.6219384.837059e-09
0.6083961.6218964.843848e-09
0.609251.6218534.850647e-09
0.6101051.621814.857455e-09
0.6109611.6217684.864273e-09
0.6118191.6217264.871100e-09
0.6126771.6216844.877937e-09
0.6135371.6216424.884784e-09
0.6143981.62164.891640e-09
0.6152611.6215584.898506e-09
0.6161241.6215164.905381e-09
0.6169891.6214744.912266e-09
0.6178551.6214334.919161e-09
0.6187221.6213914.926066e-09
0.6195911.621354.932980e-09
0.620461.6213094.939904e-09
0.6213311.6212684.946837e-09
0.6222031.6212274.953781e-09
0.6230761.6211864.960734e-09
0.6239511.6211454.967697e-09
0.6248271.6211044.974669e-09
0.6257041.6210644.981652e-09
0.6265821.6210234.988644e-09
0.6274611.6209834.995646e-09
0.6283421.6209435.002658e-09
0.6292241.6209025.009679e-09
0.6301071.6208625.016711e-09
0.6309911.6208225.023752e-09
0.6318771.6207825.030803e-09
0.6327641.6207435.037865e-09
0.6336521.6207035.044936e-09
0.6345411.6206635.052017e-09
0.6354321.6206245.059108e-09
0.6363241.6205845.066208e-09
0.6372171.6205455.073319e-09
0.6381111.6205065.080440e-09
0.6390071.6204675.087571e-09
0.6399041.6204285.094712e-09
0.6408021.6203895.101863e-09
0.6417011.620355.109024e-09
0.6426021.6203115.116194e-09
0.6435041.6202725.123375e-09
0.6444071.6202345.130567e-09
0.6453111.6201955.137768e-09
0.6462171.6201575.144979e-09
0.6471241.6201195.152200e-09
0.6480321.6200815.159432e-09
0.6489421.6200435.166674e-09
0.6498521.6200055.173926e-09
0.651.6199985.175100e-09
0.6507651.6199675.095964e-09
0.6516781.6199295.001429e-09
0.6525931.6198914.906761e-09
0.6535091.6198534.811960e-09
0.6544261.6198164.717026e-09
0.6553441.6197784.621959e-09
0.6562641.6197414.526758e-09
0.6571851.6197044.431424e-09
0.6581081.6196674.335956e-09
0.6590311.6196294.240354e-09
0.6599561.6195924.144617e-09
0.6608821.6195554.048747e-09
0.661811.6195193.952742e-09
0.6627391.6194823.856602e-09
0.6636691.6194453.760327e-09
0.6646011.6194093.663917e-09
0.6655331.6193723.567372e-09
0.6664671.6193363.470691e-09
0.6674031.6192993.373874e-09
0.668341.6192633.276922e-09
0.6692781.6192273.179834e-09
0.6702171.6191913.082609e-09
0.6711581.6191552.985248e-09
0.67211.6191192.887750e-09
0.6730431.6190832.790115e-09
0.6739881.6190472.692343e-09
0.6749331.6190122.594435e-09
0.6758811.6189762.496388e-09
0.6768291.618942.398204e-09
0.6777791.6189052.299883e-09
0.6787311.618872.201423e-09
0.6796831.6188342.102825e-09
0.6806371.6187992.004089e-09
0.6815921.6187641.905214e-09
0.6825491.6187291.806200e-09
0.6835071.6186941.707047e-09
0.6844661.6186591.607755e-09
0.6854271.6186241.508324e-09
0.6863891.618591.408754e-09
0.6873521.6185551.309043e-09
0.6883171.618521.209193e-09
0.6892831.6184861.109202e-09
0.6902511.6184511.009071e-09
0.6912191.6184179.087998e-10
0.692191.6183838.083876e-10
0.6931611.6183497.078345e-10
0.6941341.6183146.071402e-10
0.6951081.618285.063047e-10
0.6960841.6182464.053276e-10
0.6970611.6182133.042088e-10
0.6980391.6181792.029480e-10
0.6990191.6181451.015452e-10
0.71.6181110

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
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Reflectance R
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Fresnel reflection calculator

Direction
Rp
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Rs
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R = (Rp+Rs)/2
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Phase φp
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Phase φs
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Brewster angle θB
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Critical angle θC
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