Optical constants

Refractive index of F1 (HIKARI)

F1: 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
1.62588
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.64348
Permittivity ε2
1.52127e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
35.65
Chromatic dispersion dn/dλ
-0.0889919 µm⁻¹
Group index ng
1.67817
Group velocity dispersion
172.965 fs²/mm
Dispersion parameter D
-943.616 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

# F1 (HIKARI): F1
hikari_f1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "F1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_f1.range_nm)  # (400, 700) nm
eps = hikari_f1.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=2.562519−0.003146235⁢λ2.0+0.02916002⁢λ−2.0−0.00087073⁢λ−4.0+0.0002265332⁢λ−6.0−8.612399×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.562519
C2-0.003146235
C32.0
C40.02916002
C5-2.0
C6-0.00087073
C7-4.0
C80.0002265332
C9-6.0
C10-8.612399e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.625882
Vd
35.649693
glass code
626356
glass status
preferred
density
value: 3660
thermal expansion
value: 9.8e-06, temperature range: 243 343
dPgF
0.0006

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
F1 (HIKARI), F1: n and k versus wavelength
λ (µm)nk
0.41.6590412.556700e-08
0.4005611.6588492.531959e-08
0.4011241.6586572.507182e-08
0.4016871.6584662.482372e-08
0.402251.6582762.457526e-08
0.4028151.6580872.432645e-08
0.403381.6578982.407730e-08
0.4039461.657712.382779e-08
0.4045131.6575232.357794e-08
0.4050811.6573362.332773e-08
0.405651.6571512.307717e-08
0.4062191.6569662.282626e-08
0.4067891.6567822.257500e-08
0.407361.6565982.232339e-08
0.4079321.6564152.207142e-08
0.4085041.6562332.181910e-08
0.4090781.6560522.156643e-08
0.4096521.6558712.131340e-08
0.4102271.6556912.106001e-08
0.4108031.6555122.080627e-08
0.4113791.6553342.055218e-08
0.4119571.6551562.029773e-08
0.4125351.6549792.004292e-08
0.4131141.6548021.978775e-08
0.4136941.6546271.953222e-08
0.4142741.6544521.927634e-08
0.4148561.6542771.902009e-08
0.4154381.6541041.876349e-08
0.4160211.6539311.850653e-08
0.4166051.6537581.824920e-08
0.417191.6535871.799152e-08
0.4177751.6534161.773347e-08
0.4183621.6532461.747506e-08
0.4189491.6530761.721629e-08
0.4195371.6529071.695716e-08
0.421.6527741.675300e-08
0.4201261.6527391.673593e-08
0.4207151.6525711.665576e-08
0.4213061.6524041.657549e-08
0.4218971.6522381.649510e-08
0.4224891.6520721.641460e-08
0.4230821.6519071.633398e-08
0.4236761.6517421.625325e-08
0.4242711.6515781.617241e-08
0.4248661.6514151.609146e-08
0.4254621.6512531.601039e-08
0.426061.6510911.592921e-08
0.4266581.650931.584791e-08
0.4272561.6507691.576650e-08
0.4278561.6506091.568497e-08
0.4284571.6504491.560333e-08
0.4290581.6502911.552158e-08
0.429661.6501321.543971e-08
0.4302631.6499751.535773e-08
0.4308671.6498181.527563e-08
0.4314721.6496611.519342e-08
0.4320771.6495051.511109e-08
0.4326841.649351.502864e-08
0.4332911.6491961.494608e-08
0.4338991.6490421.486341e-08
0.4345081.6488881.478061e-08
0.4351181.6487351.469771e-08
0.4357291.6485831.461468e-08
0.436341.6484311.453154e-08
0.4369531.648281.444828e-08
0.4375661.648131.436491e-08
0.438181.647981.428141e-08
0.4387951.647831.419781e-08
0.4394111.6476811.411408e-08
0.441.647541.403400e-08
0.4400281.6475331.402472e-08
0.4406451.6473851.381765e-08
0.4412641.6472381.361030e-08
0.4418831.6470911.340265e-08
0.4425031.6469451.319472e-08
0.4431241.64681.298649e-08
0.4437461.6466551.277797e-08
0.4443691.646511.256916e-08
0.4449931.6463671.236005e-08
0.4456171.6462231.215065e-08
0.4462431.646081.194096e-08
0.4468691.6459381.173097e-08
0.4474961.6457961.152069e-08
0.4481241.6456551.131011e-08
0.4487531.6455141.109924e-08
0.4493831.6453741.088807e-08
0.4500141.6452351.067660e-08
0.4506451.6450951.046484e-08
0.4512781.6449571.025278e-08
0.4519111.6448191.004042e-08
0.4525461.6446819.827767e-09
0.4531811.6445449.614813e-09
0.4538171.6444079.401560e-09
0.4544541.6442719.188008e-09
0.4550921.6441368.974157e-09
0.455731.6440018.760005e-09
0.456371.6438668.545553e-09
0.4570111.6437328.330799e-09
0.4576521.6435998.115745e-09
0.4582941.6434657.900388e-09
0.4589381.6433337.684729e-09
0.4595821.6432017.468768e-09
0.461.6431157.328500e-09
0.4602271.6430697.288754e-09
0.4608731.6429387.175492e-09
0.4615191.6428077.062070e-09
0.4621671.6426776.948489e-09
0.4628161.6425476.834749e-09
0.4634651.6424186.720849e-09
0.4641161.6422896.606789e-09
0.4647671.6421616.492570e-09
0.465421.6420336.378189e-09
0.4660731.6419066.263649e-09
0.4667271.6417796.148947e-09
0.4673821.6416526.034085e-09
0.4680381.6415265.919061e-09
0.4686951.6414015.803876e-09
0.4693531.6412765.688529e-09
0.4700121.6411515.573021e-09
0.4706711.6410275.457350e-09
0.4713321.6409035.341517e-09
0.4719931.640785.225521e-09
0.4726561.6406575.109363e-09
0.4733191.6405354.993041e-09
0.4739841.6404134.876556e-09
0.4746491.6402914.759908e-09
0.4753151.640174.643096e-09
0.4759821.6400494.526120e-09
0.476651.6399294.408980e-09
0.4773191.6398094.291676e-09
0.4779891.639694.174206e-09
0.478661.6395714.056572e-09
0.4793321.6394523.938773e-09
0.481.6393353.821600e-09
0.4800051.6393343.821636e-09
0.4806781.6392173.827002e-09
0.4813531.6390993.832376e-09
0.4820281.6389823.837757e-09
0.4827051.6388663.843145e-09
0.4833821.638753.848541e-09
0.4840611.6386343.853945e-09
0.484741.6385193.859357e-09
0.4854211.6384043.864776e-09
0.4861021.638293.870202e-09
0.4867841.6381763.875636e-09
0.4874671.6380623.881078e-09
0.4881521.6379493.886528e-09
0.4888371.6378363.891985e-09
0.4895231.6377243.897450e-09
0.490211.6376123.902922e-09
0.4908981.63753.908402e-09
0.4915871.6373893.913890e-09
0.4922771.6372783.919385e-09
0.4929681.6371673.924889e-09
0.493661.6370573.930400e-09
0.4943531.6369483.935918e-09
0.4950461.6368383.941445e-09
0.4957411.6367293.946979e-09
0.4964371.6366213.952521e-09
0.4971341.6365123.958071e-09
0.4978321.6364053.963628e-09
0.498531.6362973.969193e-09
0.499231.636193.974766e-09
0.4999311.6360833.980347e-09
0.51.6360733.980900e-09
0.5006321.6359773.985934e-09
0.5013351.6358713.991529e-09
0.5020391.6357653.997131e-09
0.5027431.635664.002741e-09
0.5034491.6355554.008360e-09
0.5041551.6354514.013986e-09
0.5048631.6353464.019619e-09
0.5055721.6352434.025261e-09
0.5062811.6351394.030911e-09
0.5069921.6350364.036569e-09
0.5077031.6349334.042234e-09
0.5084161.6348314.047908e-09
0.509131.6347294.053589e-09
0.5098441.6346274.059279e-09
0.510561.6345264.064976e-09
0.5112761.6344254.070682e-09
0.5119941.6343244.076395e-09
0.5127121.6342234.082117e-09
0.5134321.6341234.087846e-09
0.5141531.6340244.093584e-09
0.5148741.6339244.099329e-09
0.5155971.6338254.105083e-09
0.5163211.6337274.110845e-09
0.5170451.6336284.116614e-09
0.5177711.633534.122392e-09
0.5184981.6334334.128178e-09
0.5192251.6333354.133973e-09
0.5199541.6332384.139775e-09
0.5206841.6331414.145585e-09
0.5214151.6330454.151404e-09
0.5221471.6329494.157231e-09
0.5228791.6328534.163066e-09
0.5236131.6327584.168909e-09
0.5243481.6326634.174760e-09
0.5250841.6325684.180620e-09
0.5258211.6324734.186487e-09
0.5265591.6323794.192363e-09
0.5272981.6322854.198248e-09
0.5280381.6321924.204140e-09
0.5287791.6320984.210041e-09
0.5295211.6320054.215950e-09
0.5302651.6319134.221867e-09
0.5310091.631824.227793e-09
0.5317541.6317284.233727e-09
0.5325011.6316374.239669e-09
0.5332481.6315454.245620e-09
0.5339961.6314544.251579e-09
0.5347461.6313634.257546e-09
0.5354961.6312734.263522e-09
0.5362481.6311824.269506e-09
0.5370011.6310924.275499e-09
0.5377541.6310034.281500e-09
0.5385091.6309134.287509e-09
0.5392651.6308244.293527e-09
0.5400221.6307354.299553e-09
0.540781.6306474.305588e-09
0.5415391.6305594.311631e-09
0.5422991.6304714.317682e-09
0.543061.6303834.323743e-09
0.5438221.6302964.329811e-09
0.5445851.6302094.335888e-09
0.545351.6301224.341974e-09
0.5461151.6300354.348068e-09
0.5468821.6299494.354171e-09
0.5476491.6298634.360282e-09
0.5484181.6297774.366402e-09
0.5491871.6296924.372531e-09
0.5499581.6296074.378668e-09
0.551.6296024.379000e-09
0.550731.6295224.384812e-09
0.5515031.6294374.390965e-09
0.5522771.6293534.397126e-09
0.5530521.6292694.403297e-09
0.5538291.6291854.409475e-09
0.5546061.6291024.415663e-09
0.5553841.6290184.421859e-09
0.5561641.6289354.428064e-09
0.5569441.6288534.434277e-09
0.5577261.628774.440499e-09
0.5585091.6286884.446730e-09
0.5592931.6286064.452970e-09
0.5600781.6285244.459219e-09
0.5608641.6284434.465476e-09
0.5616511.6283624.471742e-09
0.5624391.6282814.478017e-09
0.5632291.62824.484300e-09
0.5640191.628124.490593e-09
0.5648111.628044.496894e-09
0.5656041.627964.503204e-09
0.5663971.627884.509523e-09
0.5671921.6278014.515851e-09
0.5679881.6277214.522188e-09
0.5687861.6276434.528533e-09
0.5695841.6275644.534888e-09
0.5703831.6274854.541251e-09
0.5711841.6274074.547624e-09
0.5719861.6273294.554005e-09
0.5727881.6272524.560395e-09
0.5735921.6271744.566795e-09
0.5743971.6270974.573203e-09
0.5752041.627024.579620e-09
0.5760111.6269434.586046e-09
0.5768191.6268674.592481e-09
0.5776291.626794.598926e-09
0.578441.6267144.605379e-09
0.5792511.6266394.611841e-09
0.5800641.6265634.618313e-09
0.5808791.6264884.624793e-09
0.5816941.6264134.631283e-09
0.582511.6263384.637782e-09
0.5833281.6262634.644290e-09
0.5841471.6261894.650807e-09
0.5849661.6261154.657333e-09
0.5857871.6260414.663868e-09
0.586611.6259674.670413e-09
0.5874331.6258934.676966e-09
0.5882571.625824.683529e-09
0.5890831.6257474.690101e-09
0.589911.6256744.696682e-09
0.5907381.6256024.703273e-09
0.5915671.6255294.709873e-09
0.5923971.6254574.716482e-09
0.5932291.6253854.723100e-09
0.5940611.6253134.729728e-09
0.5948951.6252424.736365e-09
0.595731.6251714.743011e-09
0.5965661.62514.749666e-09
0.5974031.6250294.756331e-09
0.5982421.6249584.763006e-09
0.5990821.6248884.769689e-09
0.5999221.6248174.776382e-09
0.61.6248114.777000e-09
0.6007641.6247474.783086e-09
0.6016081.6246784.789800e-09
0.6024521.6246084.796523e-09
0.6032981.6245394.803255e-09
0.6041441.6244694.809997e-09
0.6049921.62444.816748e-09
0.6058411.6243324.823509e-09
0.6066921.6242634.830279e-09
0.6075431.6241954.837059e-09
0.6083961.6241274.843848e-09
0.609251.6240594.850647e-09
0.6101051.6239914.857455e-09
0.6109611.6239234.864273e-09
0.6118191.6238564.871100e-09
0.6126771.6237894.877937e-09
0.6135371.6237224.884784e-09
0.6143981.6236554.891640e-09
0.6152611.6235894.898506e-09
0.6161241.6235224.905381e-09
0.6169891.6234564.912266e-09
0.6178551.623394.919161e-09
0.6187221.6233244.926066e-09
0.6195911.6232594.932980e-09
0.620461.6231934.939904e-09
0.6213311.6231284.946837e-09
0.6222031.6230634.953781e-09
0.6230761.6229984.960734e-09
0.6239511.6229344.967697e-09
0.6248271.6228694.974669e-09
0.6257041.6228054.981652e-09
0.6265821.6227414.988644e-09
0.6274611.6226774.995646e-09
0.6283421.6226145.002658e-09
0.6292241.622555.009679e-09
0.6301071.6224875.016711e-09
0.6309911.6224245.023752e-09
0.6318771.6223615.030803e-09
0.6327641.6222985.037865e-09
0.6336521.6222355.044936e-09
0.6345411.6221735.052017e-09
0.6354321.6221115.059108e-09
0.6363241.6220495.066208e-09
0.6372171.6219875.073319e-09
0.6381111.6219255.080440e-09
0.6390071.6218645.087571e-09
0.6399041.6218035.094712e-09
0.6408021.6217415.101863e-09
0.6417011.6216815.109024e-09
0.6426021.621625.116194e-09
0.6435041.6215595.123375e-09
0.6444071.6214995.130567e-09
0.6453111.6214385.137768e-09
0.6462171.6213785.144979e-09
0.6471241.6213185.152200e-09
0.6480321.6212595.159432e-09
0.6489421.6211995.166674e-09
0.6498521.621145.173926e-09
0.651.621135.175100e-09
0.6507651.6210815.096816e-09
0.6516781.6210215.003298e-09
0.6525931.6209634.909649e-09
0.6535091.6209044.815869e-09
0.6544261.6208454.721957e-09
0.6553441.6207874.627913e-09
0.6562641.6207294.533737e-09
0.6571851.6206714.439429e-09
0.6581081.6206134.344988e-09
0.6590311.6205554.250415e-09
0.6599561.6204984.155710e-09
0.6608821.620444.060871e-09
0.661811.6203833.965899e-09
0.6627391.6203263.870794e-09
0.6636691.6202693.775556e-09
0.6646011.6202123.680183e-09
0.6655331.6201563.584677e-09
0.6664671.6200993.489037e-09
0.6674031.6200433.393263e-09
0.668341.6199873.297354e-09
0.6692781.6199313.201311e-09
0.6702171.6198753.105132e-09
0.6711581.6198193.008819e-09
0.67211.6197642.912371e-09
0.6730431.6197092.815787e-09
0.6739881.6196532.719068e-09
0.6749331.6195982.622213e-09
0.6758811.6195432.525222e-09
0.6768291.6194892.428095e-09
0.6777791.6194342.330831e-09
0.6787311.619382.233432e-09
0.6796831.6193262.135895e-09
0.6806371.6192712.038221e-09
0.6815921.6192181.940411e-09
0.6825491.6191641.842463e-09
0.6835071.619111.744378e-09
0.6844661.6190571.646155e-09
0.6854271.6190031.547794e-09
0.6863891.618951.449295e-09
0.6873521.6188971.350658e-09
0.6883171.6188441.251882e-09
0.6892831.6187911.152968e-09
0.6902511.6187391.053915e-09
0.6912191.6186869.547224e-10
0.692191.6186348.553911e-10
0.6931611.6185827.559203e-10
0.6941341.618536.563100e-10
0.6951081.6184785.565598e-10
0.6960841.6184264.566696e-10
0.6970611.6183743.566393e-10
0.6980391.6183232.564685e-10
0.6990191.6182721.561571e-10
0.71.618225.570500e-11

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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