Optical constants

Refractive index of F3 (HIKARI)

F3: 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
1.61293
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.60153
Permittivity ε2
1.50915e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
36.996
Chromatic dispersion dn/dλ
-0.0840988 µm⁻¹
Group index ng
1.66234
Group velocity dispersion
162.327 fs²/mm
Dispersion parameter D
-885.581 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

# F3 (HIKARI): F3
hikari_f3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "F3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_f3.range_nm)  # (400, 700) nm
eps = hikari_f3.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=2.522283−0.00104823⁢λ2.0+0.02939577⁢λ−2.0−0.00139163⁢λ−4.0+0.0002896805⁢λ−6.0−1.265089×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.522283
C2-0.00104823
C32.0
C40.02939577
C5-2.0
C6-0.00139163
C7-4.0
C80.0002896805
C9-6.0
C10-1.265089e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.612930
Vd
36.996191
glass code
613370
glass status
preferred
density
value: 3550
thermal expansion
value: 9.2e-06, temperature range: 243 343
dPgF
-0.0004

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
F3 (HIKARI), F3: n and k versus wavelength
λ (µm)nk
0.41.6440492.236000e-08
0.4005611.643872.220261e-08
0.4011241.6436922.204500e-08
0.4016871.6435142.188716e-08
0.402251.6433372.172911e-08
0.4028151.6431612.157083e-08
0.403381.6429862.141233e-08
0.4039461.6428112.125361e-08
0.4045131.6426372.109466e-08
0.4050811.6424632.093549e-08
0.405651.642292.077610e-08
0.4062191.6421182.061649e-08
0.4067891.6419462.045665e-08
0.407361.6417762.029659e-08
0.4079321.6416052.013630e-08
0.4085041.6414361.997579e-08
0.4090781.6412671.981505e-08
0.4096521.6410981.965408e-08
0.4102271.6409311.949289e-08
0.4108031.6407641.933148e-08
0.4113791.6405971.916984e-08
0.4119571.6404311.900797e-08
0.4125351.6402661.884587e-08
0.4131141.6401021.868355e-08
0.4136941.6399381.852099e-08
0.4142741.6397741.835821e-08
0.4148561.6396121.819521e-08
0.4154381.639451.803197e-08
0.4160211.6392881.786850e-08
0.4166051.6391271.770481e-08
0.417191.6389671.754088e-08
0.4177751.6388081.737673e-08
0.4183621.6386491.721234e-08
0.4189491.638491.704772e-08
0.4195371.6383321.688287e-08
0.421.6382091.675300e-08
0.4201261.6381751.673593e-08
0.4207151.6380181.665576e-08
0.4213061.6378621.657549e-08
0.4218971.6377071.649510e-08
0.4224891.6375521.641460e-08
0.4230821.6373981.633398e-08
0.4236761.6372441.625325e-08
0.4242711.6370911.617241e-08
0.4248661.6369381.609146e-08
0.4254621.6367861.601039e-08
0.426061.6366351.592921e-08
0.4266581.6364841.584791e-08
0.4272561.6363341.576650e-08
0.4278561.6361841.568497e-08
0.4284571.6360351.560333e-08
0.4290581.6358861.552158e-08
0.429661.6357381.543971e-08
0.4302631.6355911.535773e-08
0.4308671.6354441.527563e-08
0.4314721.6352981.519342e-08
0.4320771.6351521.511109e-08
0.4326841.6350071.502864e-08
0.4332911.6348621.494608e-08
0.4338991.6347181.486341e-08
0.4345081.6345741.478061e-08
0.4351181.6344311.469771e-08
0.4357291.6342881.461468e-08
0.436341.6341461.453154e-08
0.4369531.6340051.444828e-08
0.4375661.6338641.436491e-08
0.438181.6337231.428141e-08
0.4387951.6335831.419781e-08
0.4394111.6334441.411408e-08
0.441.6333111.403400e-08
0.4400281.6333051.402980e-08
0.4406451.6331661.393605e-08
0.4412641.6330281.384216e-08
0.4418831.6328911.374815e-08
0.4425031.6327541.365400e-08
0.4431241.6326181.355973e-08
0.4437461.6324821.346532e-08
0.4443691.6323461.337077e-08
0.4449931.6322121.327610e-08
0.4456171.6320771.318129e-08
0.4462431.6319431.308635e-08
0.4468691.631811.299127e-08
0.4474961.6316771.289607e-08
0.4481241.6315441.280072e-08
0.4487531.6314131.270525e-08
0.4493831.6312811.260964e-08
0.4500141.631151.251390e-08
0.4506451.631021.241802e-08
0.4512781.630891.232200e-08
0.4519111.630761.222586e-08
0.4525461.6306311.212957e-08
0.4531811.6305021.203316e-08
0.4538171.6303741.193660e-08
0.4544541.6302461.183992e-08
0.4550921.6301191.174309e-08
0.455731.6299931.164613e-08
0.456371.6298661.154904e-08
0.4570111.629741.145180e-08
0.4576521.6296151.135443e-08
0.4582941.629491.125693e-08
0.4589381.6293661.115929e-08
0.4595821.6292421.106151e-08
0.461.6291611.099800e-08
0.4602271.6291181.091667e-08
0.4608731.6289951.068489e-08
0.4615191.6288721.045279e-08
0.4621671.628751.022036e-08
0.4628161.6286289.987605e-09
0.4634651.6285079.754524e-09
0.4641161.6283869.521116e-09
0.4647671.6282659.287381e-09
0.465421.6281459.053317e-09
0.4660731.6280268.818925e-09
0.4667271.6279068.584204e-09
0.4673821.6277888.349153e-09
0.4680381.6276698.113773e-09
0.4686951.6275517.878062e-09
0.4693531.6274347.642020e-09
0.4700121.6273177.405647e-09
0.4706711.62727.168943e-09
0.4713321.6270846.931906e-09
0.4719931.6269686.694536e-09
0.4726561.6268526.456833e-09
0.4733191.6267376.218797e-09
0.4739841.6266235.980427e-09
0.4746491.6265095.741722e-09
0.4753151.6263955.502681e-09
0.4759821.6262815.263306e-09
0.476651.6261685.023594e-09
0.4773191.6260564.783546e-09
0.4779891.6259434.543162e-09
0.478661.6258324.302439e-09
0.4793321.625724.061379e-09
0.481.625613.821600e-09
0.4800051.6256093.821636e-09
0.4806781.6254983.827002e-09
0.4813531.6253883.832376e-09
0.4820281.6252783.837757e-09
0.4827051.6251693.843145e-09
0.4833821.625063.848541e-09
0.4840611.6249513.853945e-09
0.484741.6248423.859357e-09
0.4854211.6247343.864776e-09
0.4861021.6246273.870202e-09
0.4867841.624523.875636e-09
0.4874671.6244133.881078e-09
0.4881521.6243063.886528e-09
0.4888371.62423.891985e-09
0.4895231.6240943.897450e-09
0.490211.6239893.902922e-09
0.4908981.6238843.908402e-09
0.4915871.6237793.913890e-09
0.4922771.6236753.919385e-09
0.4929681.6235713.924889e-09
0.493661.6234673.930400e-09
0.4943531.6233643.935918e-09
0.4950461.6232613.941445e-09
0.4957411.6231593.946979e-09
0.4964371.6230573.952521e-09
0.4971341.6229553.958071e-09
0.4978321.6228533.963628e-09
0.498531.6227523.969193e-09
0.499231.6226513.974766e-09
0.4999311.6225513.980347e-09
0.51.6225413.980900e-09
0.5006321.6224513.985934e-09
0.5013351.6223513.991529e-09
0.5020391.6222513.997131e-09
0.5027431.6221524.002741e-09
0.5034491.6220544.008360e-09
0.5041551.6219554.013986e-09
0.5048631.6218574.019619e-09
0.5055721.6217594.025261e-09
0.5062811.6216624.030911e-09
0.5069921.6215654.036569e-09
0.5077031.6214684.042234e-09
0.5084161.6213724.047908e-09
0.509131.6212754.053589e-09
0.5098441.621184.059279e-09
0.510561.6210844.064976e-09
0.5112761.6209894.070682e-09
0.5119941.6208944.076395e-09
0.5127121.62084.082117e-09
0.5134321.6207054.087846e-09
0.5141531.6206114.093584e-09
0.5148741.6205184.099329e-09
0.5155971.6204244.105083e-09
0.5163211.6203324.110845e-09
0.5170451.6202394.116614e-09
0.5177711.6201464.122392e-09
0.5184981.6200544.128178e-09
0.5192251.6199634.133973e-09
0.5199541.6198714.139775e-09
0.5206841.619784.145585e-09
0.5214151.6196894.151404e-09
0.5221471.6195994.157231e-09
0.5228791.6195084.163066e-09
0.5236131.6194194.168909e-09
0.5243481.6193294.174760e-09
0.5250841.6192394.180620e-09
0.5258211.619154.186487e-09
0.5265591.6190624.192363e-09
0.5272981.6189734.198248e-09
0.5280381.6188854.204140e-09
0.5287791.6187974.210041e-09
0.5295211.6187094.215950e-09
0.5302651.6186224.221867e-09
0.5310091.6185354.227793e-09
0.5317541.6184484.233727e-09
0.5325011.6183624.239669e-09
0.5332481.6182764.245620e-09
0.5339961.618194.251579e-09
0.5347461.6181044.257546e-09
0.5354961.6180194.263522e-09
0.5362481.6179334.269506e-09
0.5370011.6178494.275499e-09
0.5377541.6177644.281500e-09
0.5385091.617684.287509e-09
0.5392651.6175964.293527e-09
0.5400221.6175124.299553e-09
0.540781.6174294.305588e-09
0.5415391.6173454.311631e-09
0.5422991.6172624.317682e-09
0.543061.617184.323743e-09
0.5438221.6170974.329811e-09
0.5445851.6170154.335888e-09
0.545351.6169334.341974e-09
0.5461151.6168524.348068e-09
0.5468821.616774.354171e-09
0.5476491.6166894.360282e-09
0.5484181.6166084.366402e-09
0.5491871.6165284.372531e-09
0.5499581.6164474.378668e-09
0.551.6164434.379000e-09
0.550731.6163674.384812e-09
0.5515031.6162874.390965e-09
0.5522771.6162084.397126e-09
0.5530521.6161294.403297e-09
0.5538291.616054.409475e-09
0.5546061.6159714.415663e-09
0.5553841.6158924.421859e-09
0.5561641.6158144.428064e-09
0.5569441.6157364.434277e-09
0.5577261.6156584.440499e-09
0.5585091.615584.446730e-09
0.5592931.6155034.452970e-09
0.5600781.6154264.459219e-09
0.5608641.6153494.465476e-09
0.5616511.6152724.471742e-09
0.5624391.6151964.478017e-09
0.5632291.615124.484300e-09
0.5640191.6150444.490593e-09
0.5648111.6149684.496894e-09
0.5656041.6148934.503204e-09
0.5663971.6148174.509523e-09
0.5671921.6147424.515851e-09
0.5679881.6146684.522188e-09
0.5687861.6145934.528533e-09
0.5695841.6145194.534888e-09
0.5703831.6144454.541251e-09
0.5711841.6143714.547624e-09
0.5719861.6142974.554005e-09
0.5727881.6142244.560395e-09
0.5735921.6141514.566795e-09
0.5743971.6140784.573203e-09
0.5752041.6140054.579620e-09
0.5760111.6139334.586046e-09
0.5768191.613864.592481e-09
0.5776291.6137884.598926e-09
0.578441.6137174.605379e-09
0.5792511.6136454.611841e-09
0.5800641.6135744.618313e-09
0.5808791.6135024.624793e-09
0.5816941.6134314.631283e-09
0.582511.6133614.637782e-09
0.5833281.613294.644290e-09
0.5841471.613224.650807e-09
0.5849661.613154.657333e-09
0.5857871.613084.663868e-09
0.586611.613014.670413e-09
0.5874331.6129414.676966e-09
0.5882571.6128724.683529e-09
0.5890831.6128034.690101e-09
0.589911.6127344.696682e-09
0.5907381.6126654.703273e-09
0.5915671.6125974.709873e-09
0.5923971.6125284.716482e-09
0.5932291.612464.723100e-09
0.5940611.6123934.729728e-09
0.5948951.6123254.736365e-09
0.595731.6122584.743011e-09
0.5965661.612194.749666e-09
0.5974031.6121234.756331e-09
0.5982421.6120574.763006e-09
0.5990821.611994.769689e-09
0.5999221.6119244.776382e-09
0.61.6119184.777000e-09
0.6007641.6118584.783086e-09
0.6016081.6117924.789800e-09
0.6024521.6117264.796523e-09
0.6032981.611664.803255e-09
0.6041441.6115954.809997e-09
0.6049921.6115294.816748e-09
0.6058411.6114644.823509e-09
0.6066921.61144.830279e-09
0.6075431.6113354.837059e-09
0.6083961.6112714.843848e-09
0.609251.6112064.850647e-09
0.6101051.6111424.857455e-09
0.6109611.6110784.864273e-09
0.6118191.6110154.871100e-09
0.6126771.6109514.877937e-09
0.6135371.6108884.884784e-09
0.6143981.6108254.891640e-09
0.6152611.6107624.898506e-09
0.6161241.6106994.905381e-09
0.6169891.6106364.912266e-09
0.6178551.6105744.919161e-09
0.6187221.6105124.926066e-09
0.6195911.610454.932980e-09
0.620461.6103884.939904e-09
0.6213311.6103264.946837e-09
0.6222031.6102654.953781e-09
0.6230761.6102034.960734e-09
0.6239511.6101424.967697e-09
0.6248271.6100814.974669e-09
0.6257041.6100214.981652e-09
0.6265821.609964.988644e-09
0.6274611.60994.995646e-09
0.6283421.6098395.002658e-09
0.6292241.6097795.009679e-09
0.6301071.6097195.016711e-09
0.6309911.609665.023752e-09
0.6318771.60965.030803e-09
0.6327641.6095415.037865e-09
0.6336521.6094815.044936e-09
0.6345411.6094225.052017e-09
0.6354321.6093645.059108e-09
0.6363241.6093055.066208e-09
0.6372171.6092465.073319e-09
0.6381111.6091885.080440e-09
0.6390071.609135.087571e-09
0.6399041.6090725.094712e-09
0.6408021.6090145.101863e-09
0.6417011.6089565.109024e-09
0.6426021.6088995.116194e-09
0.6435041.6088415.123375e-09
0.6444071.6087845.130567e-09
0.6453111.6087275.137768e-09
0.6462171.608675.144979e-09
0.6471241.6086135.152200e-09
0.6480321.6085575.159432e-09
0.6489421.6085015.166674e-09
0.6498521.6084445.173926e-09
0.651.6084355.175100e-09
0.6507651.6083885.181188e-09
0.6516781.6083325.188460e-09
0.6525931.6082775.195742e-09
0.6535091.6082215.203035e-09
0.6544261.6081665.210338e-09
0.6553441.608115.217651e-09
0.6562641.6080555.224974e-09
0.6571851.6085.232308e-09
0.6581081.6079455.239652e-09
0.6590311.6078915.247006e-09
0.6599561.6078365.254371e-09
0.6608821.6077825.261746e-09
0.661811.6077285.269131e-09
0.6627391.6076745.276527e-09
0.6636691.607625.283933e-09
0.6646011.6075665.291349e-09
0.6655331.6075125.298776e-09
0.6664671.6074595.306213e-09
0.6674031.6074065.313661e-09
0.668341.6073535.321119e-09
0.6692781.60735.328588e-09
0.6702171.6072475.336067e-09
0.6711581.6071945.343557e-09
0.67211.6071425.351057e-09
0.6730431.6070895.358567e-09
0.6739881.6070375.366089e-09
0.6749331.6069855.373620e-09
0.6758811.6069335.381163e-09
0.6768291.6068815.388716e-09
0.6777791.6068295.396279e-09
0.6787311.6067785.403853e-09
0.6796831.6067265.411438e-09
0.6806371.6066755.419033e-09
0.6815921.6066245.426639e-09
0.6825491.6065735.434256e-09
0.6835071.6065225.441884e-09
0.6844661.6064725.449522e-09
0.6854271.6064215.457171e-09
0.6863891.6063715.464830e-09
0.6873521.6063215.472500e-09
0.6883171.606275.480182e-09
0.6892831.606225.487873e-09
0.6902511.6061715.495576e-09
0.6912191.6061215.503290e-09
0.692191.6060715.511014e-09
0.6931611.6060225.518749e-09
0.6941341.6059735.526495e-09
0.6951081.6059235.534252e-09
0.6960841.6058745.542020e-09
0.6970611.6058265.549798e-09
0.6980391.6057775.557588e-09
0.6990191.6057285.565389e-09
0.71.605685.573200e-09

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

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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