Optical constants

Refractive index of BAF10 (HIKARI)

BAF10: 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
1.67003
Extinction coefficient k
1.98319e-08
Permittivity ε1
2.78899
Permittivity ε2
6.62396e-08
Absorption coefficient α
0.00424123 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71561e+09 nm
Abbe number Vd
47.05
Chromatic dispersion dn/dλ
-0.0729448 µm⁻¹
Group index ng
1.71289
Group velocity dispersion
135.303 fs²/mm
Dispersion parameter D
-738.148 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

# BAF10 (HIKARI): BAF10
hikari_baf10 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "BAF10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_baf10.range_nm)  # (400, 700) nm
eps = hikari_baf10.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=2.708194+0.004899893⁢λ2.0+0.03147874⁢λ−2.0−0.002304342⁢λ−4.0+0.0003414449⁢λ−6.0−1.465281×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.708194
C20.004899893
C32.0
C40.03147874
C5-2.0
C6-0.002304342
C7-4.0
C80.0003414449
C9-6.0
C10-1.465281e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.670030
Vd
47.049915
glass code
670471
glass status
preferred
density
value: 3830
thermal expansion
value: 8.5e-06, temperature range: 243 343
dPgF
-0.0008

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
BAF10 (HIKARI), BAF10: n and k versus wavelength
λ (µm)nk
0.41.6960862.792800e-07
0.4005611.6959412.751727e-07
0.4011241.6957952.710597e-07
0.4016871.6956512.669408e-07
0.402251.6955062.628162e-07
0.4028151.6953632.586858e-07
0.403381.695222.545496e-07
0.4039461.6950772.504076e-07
0.4045131.6949352.462598e-07
0.4050811.6947932.421062e-07
0.405651.6946522.379467e-07
0.4062191.6945112.337814e-07
0.4067891.6943712.296103e-07
0.407361.6942312.254333e-07
0.4079321.6940922.212504e-07
0.4085041.6939542.170617e-07
0.4090781.6938152.128670e-07
0.4096521.6936782.086665e-07
0.4102271.6935412.044601e-07
0.4108031.6934042.002478e-07
0.4113791.6932681.960296e-07
0.4119571.6931321.918055e-07
0.4125351.6929971.875754e-07
0.4131141.6928621.833394e-07
0.4136941.6927281.790975e-07
0.4142741.6925941.748496e-07
0.4148561.6924611.705957e-07
0.4154381.6923281.663359e-07
0.4160211.6921951.620701e-07
0.4166051.6920631.577983e-07
0.417191.6919321.535205e-07
0.4177751.6918011.492367e-07
0.4183621.6916711.449469e-07
0.4189491.691541.406511e-07
0.4195371.6914111.363492e-07
0.421.6913091.329600e-07
0.4201261.6912821.327721e-07
0.4207151.6911531.318900e-07
0.4213061.6910251.310066e-07
0.4218971.6908971.301220e-07
0.4224891.690771.292362e-07
0.4230821.6906431.283491e-07
0.4236761.6905161.274608e-07
0.4242711.6903911.265712e-07
0.4248661.6902651.256803e-07
0.4254621.690141.247883e-07
0.426061.6900151.238949e-07
0.4266581.6898911.230003e-07
0.4272561.6897671.221045e-07
0.4278561.6896441.212074e-07
0.4284571.6895211.203090e-07
0.4290581.6893991.194094e-07
0.429661.6892771.185085e-07
0.4302631.6891551.176064e-07
0.4308671.6890341.167030e-07
0.4314721.6889131.157983e-07
0.4320771.6887931.148923e-07
0.4326841.6886731.139851e-07
0.4332911.6885531.130766e-07
0.4338991.6884341.121668e-07
0.4345081.6883151.112558e-07
0.4351181.6881971.103434e-07
0.4357291.6880791.094298e-07
0.436341.6879621.085149e-07
0.4369531.6878451.075988e-07
0.4375661.6877281.066813e-07
0.438181.6876121.057626e-07
0.4387951.6874961.048425e-07
0.4394111.6873811.039212e-07
0.441.6872711.030400e-07
0.4400281.6872661.030101e-07
0.4406451.6871511.023428e-07
0.4412641.6870371.016746e-07
0.4418831.6869231.010054e-07
0.4425031.686811.003353e-07
0.4431241.6866979.966431e-08
0.4437461.6865849.899234e-08
0.4443691.6864729.831942e-08
0.4449931.686369.764556e-08
0.4456171.6862499.697076e-08
0.4462431.6861379.629500e-08
0.4468691.6860279.561830e-08
0.4474961.6859169.494065e-08
0.4481241.6858069.426205e-08
0.4487531.6856979.358249e-08
0.4493831.6855889.290198e-08
0.4500141.6854799.222052e-08
0.4506451.685379.153810e-08
0.4512781.6852629.085472e-08
0.4519111.6851559.017038e-08
0.4525461.6850478.948508e-08
0.4531811.684948.879882e-08
0.4538171.6848348.811160e-08
0.4544541.6847278.742341e-08
0.4550921.6846218.673426e-08
0.455731.6845168.604414e-08
0.456371.6844118.535305e-08
0.4570111.6843068.466099e-08
0.4576521.6842018.396796e-08
0.4582941.6840978.327395e-08
0.4589381.6839948.257898e-08
0.4595821.683898.188302e-08
0.461.6838238.143100e-08
0.4602271.6837878.116238e-08
0.4608731.6836848.039691e-08
0.4615191.6835827.963036e-08
0.4621671.683487.886274e-08
0.4628161.6833787.809404e-08
0.4634651.6832777.732426e-08
0.4641161.6831767.655340e-08
0.4647671.6830757.578146e-08
0.465421.6829757.500843e-08
0.4660731.6828757.423432e-08
0.4667271.6827757.345912e-08
0.4673821.6826767.268284e-08
0.4680381.6825777.190546e-08
0.4686951.6824787.112700e-08
0.4693531.682387.034744e-08
0.4700121.6822826.956679e-08
0.4706711.6821846.878504e-08
0.4713321.6820876.800219e-08
0.4719931.681996.721825e-08
0.4726561.6818936.643320e-08
0.4733191.6817976.564706e-08
0.4739841.68176.485981e-08
0.4746491.6816056.407145e-08
0.4753151.6815096.328199e-08
0.4759821.6814146.249142e-08
0.476651.6813196.169974e-08
0.4773191.6812256.090695e-08
0.4779891.681136.011305e-08
0.478661.6810375.931803e-08
0.4793321.6809435.852190e-08
0.481.680855.773000e-08
0.4800051.680855.772509e-08
0.4806781.6807575.699217e-08
0.4813531.6806645.625822e-08
0.4820281.6805725.552325e-08
0.4827051.6804795.478724e-08
0.4833821.6803885.405019e-08
0.4840611.6802965.331212e-08
0.484741.6802055.257301e-08
0.4854211.6801145.183285e-08
0.4861021.6800235.109167e-08
0.4867841.6799335.034944e-08
0.4874671.6798434.960617e-08
0.4881521.6797534.886185e-08
0.4888371.6796644.811649e-08
0.4895231.6795754.737009e-08
0.490211.6794864.662264e-08
0.4908981.6793974.587413e-08
0.4915871.6793094.512458e-08
0.4922771.6792214.437398e-08
0.4929681.6791334.362232e-08
0.493661.6790464.286961e-08
0.4943531.6789594.211584e-08
0.4950461.6788724.136101e-08
0.4957411.6787854.060513e-08
0.4964371.6786993.984818e-08
0.4971341.6786133.909017e-08
0.4978321.6785273.833109e-08
0.498531.6784413.757096e-08
0.499231.6783563.680975e-08
0.4999311.6782713.604748e-08
0.51.6782633.597200e-08
0.5006321.6781863.579454e-08
0.5013351.6781023.559733e-08
0.5020391.6780183.539985e-08
0.5027431.6779343.520209e-08
0.5034491.677853.500405e-08
0.5041551.6777673.480574e-08
0.5048631.6776843.460714e-08
0.5055721.6776013.440827e-08
0.5062811.6775183.420912e-08
0.5069921.6774363.400969e-08
0.5077031.6773543.380998e-08
0.5084161.6772723.360998e-08
0.509131.677193.340971e-08
0.5098441.6771093.320916e-08
0.510561.6770283.300832e-08
0.5112761.6769473.280721e-08
0.5119941.6768663.260581e-08
0.5127121.6767863.240412e-08
0.5134321.6767063.220216e-08
0.5141531.6766263.199991e-08
0.5148741.6765473.179738e-08
0.5155971.6764673.159456e-08
0.5163211.6763883.139146e-08
0.5170451.6763093.118807e-08
0.5177711.6762313.098440e-08
0.5184981.6761523.078045e-08
0.5192251.6760743.057620e-08
0.5199541.6759963.037167e-08
0.5206841.6759193.016685e-08
0.5214151.6758412.996175e-08
0.5221471.6757642.975636e-08
0.5228791.6756872.955067e-08
0.5236131.6756112.934470e-08
0.5243481.6755342.913845e-08
0.5250841.6754582.893190e-08
0.5258211.6753822.872506e-08
0.5265591.6753062.851793e-08
0.5272981.6752312.831051e-08
0.5280381.6751552.810280e-08
0.5287791.675082.789480e-08
0.5295211.6750052.768650e-08
0.5302651.6749312.747792e-08
0.5310091.6748562.726904e-08
0.5317541.6747822.705987e-08
0.5325011.6747082.685040e-08
0.5332481.6746342.664064e-08
0.5339961.6745612.643059e-08
0.5347461.6744882.622024e-08
0.5354961.6744152.600959e-08
0.5362481.6743422.579865e-08
0.5370011.6742692.558742e-08
0.5377541.6741972.537589e-08
0.5385091.6741252.516406e-08
0.5392651.6740532.495193e-08
0.5400221.6739812.473950e-08
0.540781.6739092.452678e-08
0.5415391.6738382.431376e-08
0.5422991.6737672.410044e-08
0.543061.6736962.388682e-08
0.5438221.6736252.367290e-08
0.5445851.6735552.345868e-08
0.545351.6734842.324416e-08
0.5461151.6734142.302934e-08
0.5468821.6733442.281422e-08
0.5476491.6732752.259879e-08
0.5484181.6732052.238307e-08
0.5491871.6731362.216704e-08
0.5499581.6730672.195070e-08
0.551.6730632.193900e-08
0.550731.6729982.189808e-08
0.5515031.672932.185476e-08
0.5522771.6728612.181139e-08
0.5530521.6727932.176795e-08
0.5538291.6727252.172445e-08
0.5546061.6726572.168089e-08
0.5553841.6725892.163726e-08
0.5561641.6725222.159358e-08
0.5569441.6724552.154984e-08
0.5577261.6723882.150603e-08
0.5585091.6723212.146216e-08
0.5592931.6722542.141824e-08
0.5600781.6721882.137424e-08
0.5608641.6721222.133019e-08
0.5616511.6720562.128608e-08
0.5624391.671992.124190e-08
0.5632291.6719242.119766e-08
0.5640191.6718582.115336e-08
0.5648111.6717932.110900e-08
0.5656041.6717282.106458e-08
0.5663971.6716632.102009e-08
0.5671921.6715982.097554e-08
0.5679881.6715342.093093e-08
0.5687861.671472.088626e-08
0.5695841.6714052.084152e-08
0.5703831.6713412.079672e-08
0.5711841.6712782.075186e-08
0.5719861.6712142.070693e-08
0.5727881.6711512.066194e-08
0.5735921.6710872.061689e-08
0.5743971.6710242.057177e-08
0.5752041.6709612.052659e-08
0.5760111.6708992.048135e-08
0.5768191.6708362.043605e-08
0.5776291.6707742.039068e-08
0.578441.6707122.034525e-08
0.5792511.670652.029975e-08
0.5800641.6705882.025419e-08
0.5808791.6705262.020856e-08
0.5816941.6704652.016288e-08
0.582511.6704032.011712e-08
0.5833281.6703422.007131e-08
0.5841471.6702812.002543e-08
0.5849661.6702211.997948e-08
0.5857871.670161.993347e-08
0.586611.67011.988740e-08
0.5874331.6700391.984126e-08
0.5882571.6699791.979505e-08
0.5890831.6699191.974879e-08
0.589911.669861.970245e-08
0.5907381.66981.965605e-08
0.5915671.6697411.960959e-08
0.5923971.6696821.956306e-08
0.5932291.6696231.951647e-08
0.5940611.6695641.946981e-08
0.5948951.6695051.942308e-08
0.595731.6694461.937629e-08
0.5965661.6693881.932943e-08
0.5974031.669331.928251e-08
0.5982421.6692721.923552e-08
0.5990821.6692141.918847e-08
0.5999221.6691561.914135e-08
0.61.6691511.913700e-08
0.6007641.6690991.916138e-08
0.6016081.6690411.918828e-08
0.6024521.6689841.921522e-08
0.6032981.6689271.924219e-08
0.6041441.668871.926920e-08
0.6049921.6688131.929625e-08
0.6058411.6687571.932334e-08
0.6066921.66871.935046e-08
0.6075431.6686441.937763e-08
0.6083961.6685881.940483e-08
0.609251.6685321.943207e-08
0.6101051.6684761.945935e-08
0.6109611.668421.948666e-08
0.6118191.6683651.951402e-08
0.6126771.668311.954141e-08
0.6135371.6682541.956884e-08
0.6143981.6681991.959631e-08
0.6152611.6681441.962382e-08
0.6161241.668091.965136e-08
0.6169891.6680351.967895e-08
0.6178551.6679811.970657e-08
0.6187221.6679271.973424e-08
0.6195911.6678721.976194e-08
0.620461.6678181.978968e-08
0.6213311.6677651.981746e-08
0.6222031.6677111.984528e-08
0.6230761.6676571.987313e-08
0.6239511.6676041.990103e-08
0.6248271.6675511.992897e-08
0.6257041.6674981.995694e-08
0.6265821.6674451.998496e-08
0.6274611.6673922.001301e-08
0.6283421.667342.004110e-08
0.6292241.6672872.006924e-08
0.6301071.6672352.009741e-08
0.6309911.6671832.012562e-08
0.6318771.6671312.015387e-08
0.6327641.6670792.018216e-08
0.6336521.6670272.021049e-08
0.6345411.6669752.023886e-08
0.6354321.6669242.026727e-08
0.6363241.6668732.029572e-08
0.6372171.6668212.032421e-08
0.6381111.666772.035274e-08
0.6390071.6667192.038131e-08
0.6399041.6666692.040992e-08
0.6408021.6666182.043857e-08
0.6417011.6665682.046726e-08
0.6426021.6665172.049599e-08
0.6435041.6664672.052476e-08
0.6444071.6664172.055358e-08
0.6453111.6663672.058243e-08
0.6462171.6663172.061132e-08
0.6471241.6662682.064025e-08
0.6480321.6662182.066923e-08
0.6489421.6661692.069824e-08
0.6498521.666122.072729e-08
0.651.6661122.073200e-08
0.6507651.6660712.050020e-08
0.6516781.6660222.022329e-08
0.6525931.6659731.994599e-08
0.6535091.6659241.966830e-08
0.6544261.6658761.939022e-08
0.6553441.6658271.911175e-08
0.6562641.6657791.883289e-08
0.6571851.6657311.855364e-08
0.6581081.6656831.827400e-08
0.6590311.6656351.799396e-08
0.6599561.6655871.771353e-08
0.6608821.665541.743271e-08
0.661811.6654921.715149e-08
0.6627391.6654451.686988e-08
0.6636691.6653981.658787e-08
0.6646011.6653511.630547e-08
0.6655331.6653041.602267e-08
0.6664671.6652571.573948e-08
0.6674031.665211.545589e-08
0.668341.6651641.517189e-08
0.6692781.6651171.488751e-08
0.6702171.6650711.460272e-08
0.6711581.6650251.431753e-08
0.67211.6649791.403194e-08
0.6730431.6649331.374595e-08
0.6739881.6648871.345956e-08
0.6749331.6648411.317277e-08
0.6758811.6647961.288557e-08
0.6768291.664751.259797e-08
0.6777791.6647051.230997e-08
0.6787311.664661.202156e-08
0.6796831.6646151.173275e-08
0.6806371.664571.144354e-08
0.6815921.6645251.115391e-08
0.6825491.664481.086388e-08
0.6835071.6644361.057345e-08
0.6844661.6643911.028261e-08
0.6854271.6643479.991354e-09
0.6863891.6643039.699693e-09
0.6873521.6642599.407623e-09
0.6883171.6642159.115143e-09
0.6892831.6641718.822253e-09
0.6902511.6641278.528951e-09
0.6912191.6640848.235238e-09
0.692191.664047.941113e-09
0.6931611.6639977.646575e-09
0.6941341.6639547.351623e-09
0.6951081.6639117.056258e-09
0.6960841.6638686.760478e-09
0.6970611.6638256.464282e-09
0.6980391.6637826.167671e-09
0.6990191.663745.870644e-09
0.71.6636975.573200e-09

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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