Optical constants

Refractive index of E-BAF10 (HIKARI)

E-BAF10: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 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
4.67830e-09
Permittivity ε1
2.78899
Permittivity ε2
1.56258e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
47.237
Chromatic dispersion dn/dλ
-0.07261 µm⁻¹
Group index ng
1.71269
Group velocity dispersion
134.223 fs²/mm
Dispersion parameter D
-732.256 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

# E-BAF10 (HIKARI): E-BAF10
hikari_e_baf10 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-BAF10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_baf10.range_nm)  # (400, 700) nm
eps = hikari_e_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=2.72932262−0.0106085219⁢λ2.0+0.0204478583⁢λ−2.0+0.000484576944⁢λ−4.0−3.06411426×10-6⁢λ−6.0+1.63981487×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.72932262
C2-0.0106085219
C32.0
C40.0204478583
C5-2.0
C60.000484576944
C7-4.0
C8-3.06411426e-06
C9-6.0
C101.63981487e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.670029
Vd
47.236541
glass code
670472
glass status
preferred
density
value: 3820
thermal expansion
value: 7.3e-06, temperature range: 243 343
dPgF
-0.0022

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
E-BAF10 (HIKARI), E-BAF10: n and k versus wavelength
λ (µm)nk
0.41.6959091.068100e-07
0.4005611.6957641.052297e-07
0.4011241.695621.036473e-07
0.4016871.6954771.020626e-07
0.402251.6953341.004756e-07
0.4028151.6951919.888648e-08
0.403381.695059.729509e-08
0.4039461.6949089.570148e-08
0.4045131.6947679.410562e-08
0.4050811.6946279.250753e-08
0.405651.6944879.090719e-08
0.4062191.6943488.930461e-08
0.4067891.6942098.769978e-08
0.407361.694078.609270e-08
0.4079321.6939328.448336e-08
0.4085041.6937958.287176e-08
0.4090781.6936588.125790e-08
0.4096521.6935227.964177e-08
0.4102271.6933867.802338e-08
0.4108031.6932517.640271e-08
0.4113791.6931167.477977e-08
0.4119571.6929817.315456e-08
0.4125351.6928477.152706e-08
0.4131141.6927146.989727e-08
0.4136941.6925816.826520e-08
0.4142741.6924486.663084e-08
0.4148561.6923166.499419e-08
0.4154381.6921856.335524e-08
0.4160211.6920546.171398e-08
0.4166051.6919236.007043e-08
0.417191.6917935.842456e-08
0.4177751.6916635.677639e-08
0.4183621.6915345.512591e-08
0.4189491.6914055.347310e-08
0.4195371.6912775.181798e-08
0.421.6911765.051400e-08
0.4201261.6911495.041779e-08
0.4207151.6910224.996599e-08
0.4213061.6908954.951356e-08
0.4218971.6907684.906049e-08
0.4224891.6906424.860679e-08
0.4230821.6905164.815245e-08
0.4236761.6903914.769748e-08
0.4242711.6902664.724186e-08
0.4248661.6901424.678561e-08
0.4254621.6900184.632871e-08
0.426061.6898954.587118e-08
0.4266581.6897724.541300e-08
0.4272561.6896494.495418e-08
0.4278561.6895274.449471e-08
0.4284571.6894054.403460e-08
0.4290581.6892844.357385e-08
0.429661.6891634.311245e-08
0.4302631.6890434.265040e-08
0.4308671.6889224.218770e-08
0.4314721.6888034.172435e-08
0.4320771.6886844.126035e-08
0.4326841.6885654.079570e-08
0.4332911.6884464.033040e-08
0.4338991.6883283.986445e-08
0.4345081.6882113.939784e-08
0.4351181.6880943.893058e-08
0.4357291.6879773.846266e-08
0.436341.687863.799408e-08
0.4369531.6877443.752485e-08
0.4375661.6876293.705495e-08
0.438181.6875143.658440e-08
0.4387951.6873993.611319e-08
0.4394111.6872853.564132e-08
0.441.6871763.519000e-08
0.4400281.6871713.517688e-08
0.4406451.6870573.488426e-08
0.4412641.6869443.459124e-08
0.4418831.6868313.429780e-08
0.4425031.6867183.400395e-08
0.4431241.6866063.370969e-08
0.4437461.6864953.341502e-08
0.4443691.6863833.311993e-08
0.4449931.6862723.282443e-08
0.4456171.6861623.252851e-08
0.4462431.6860523.223218e-08
0.4468691.6859423.193543e-08
0.4474961.6858323.163826e-08
0.4481241.6857233.134068e-08
0.4487531.6856143.104268e-08
0.4493831.6855063.074427e-08
0.4500141.6853983.044543e-08
0.4506451.6852913.014617e-08
0.4512781.6851832.984650e-08
0.4519111.6850762.954640e-08
0.4525461.684972.924588e-08
0.4531811.6848642.894494e-08
0.4538171.6847582.864358e-08
0.4544541.6846522.834180e-08
0.4550921.6845472.803959e-08
0.455731.6844422.773696e-08
0.456371.6843382.743390e-08
0.4570111.6842342.713042e-08
0.4576521.684132.682651e-08
0.4582941.6840272.652217e-08
0.4589381.6839242.621741e-08
0.4595821.6838212.591222e-08
0.461.6837552.571400e-08
0.4602271.6837192.559609e-08
0.4608731.6836172.526007e-08
0.4615191.6835152.492358e-08
0.4621671.6834142.458661e-08
0.4628161.6833132.424918e-08
0.4634651.6832122.391127e-08
0.4641161.6831122.357288e-08
0.4647671.6830122.323403e-08
0.465421.6829122.289469e-08
0.4660731.6828122.255488e-08
0.4667271.6827132.221459e-08
0.4673821.6826152.187383e-08
0.4680381.6825162.153259e-08
0.4686951.6824182.119086e-08
0.4693531.6823212.084866e-08
0.4700121.6822232.050598e-08
0.4706711.6821262.016282e-08
0.4713321.6820291.981917e-08
0.4719931.6819331.947504e-08
0.4726561.6818371.913043e-08
0.4733191.6817411.878534e-08
0.4739841.6816451.843976e-08
0.4746491.681551.809370e-08
0.4753151.6814551.774715e-08
0.4759821.681361.740012e-08
0.476651.6812661.705259e-08
0.4773191.6811721.670458e-08
0.4779891.6810781.635609e-08
0.478661.6809851.600710e-08
0.4793321.6808921.565762e-08
0.481.68081.531000e-08
0.4800051.6807991.530834e-08
0.4806781.6807071.506095e-08
0.4813531.6806141.481321e-08
0.4820281.6805221.456512e-08
0.4827051.6804311.431669e-08
0.4833821.680341.406790e-08
0.4840611.6802491.381877e-08
0.484741.6801581.356928e-08
0.4854211.6800671.331945e-08
0.4861021.6799771.306926e-08
0.4867841.6798871.281873e-08
0.4874671.6797981.256784e-08
0.4881521.6797091.231660e-08
0.4888371.679621.206501e-08
0.4895231.6795311.181307e-08
0.490211.6794421.156077e-08
0.4908981.6793541.130811e-08
0.4915871.6792661.105511e-08
0.4922771.6791791.080174e-08
0.4929681.6790911.054803e-08
0.493661.6790041.029395e-08
0.4943531.6789181.003952e-08
0.4950461.6788319.784733e-09
0.4957411.6787459.529587e-09
0.4964371.6786599.274084e-09
0.4971341.6785739.018221e-09
0.4978321.6784888.762000e-09
0.498531.6784038.505419e-09
0.499231.6783188.248478e-09
0.4999311.6782337.991176e-09
0.51.6782257.965700e-09
0.5006321.6781497.920343e-09
0.5013351.6780657.869939e-09
0.5020391.6779817.819464e-09
0.5027431.6778987.768919e-09
0.5034491.6778147.718302e-09
0.5041551.6777317.667615e-09
0.5048631.6776487.616856e-09
0.5055721.6775667.566026e-09
0.5062811.6774847.515124e-09
0.5069921.6774027.464152e-09
0.5077031.677327.413107e-09
0.5084161.6772387.361991e-09
0.509131.6771577.310803e-09
0.5098441.6770767.259544e-09
0.510561.6769967.208212e-09
0.5112761.6769157.156809e-09
0.5119941.6768357.105333e-09
0.5127121.6767557.053785e-09
0.5134321.6766757.002165e-09
0.5141531.6765966.950472e-09
0.5148741.6765166.898707e-09
0.5155971.6764376.846869e-09
0.5163211.6763596.794958e-09
0.5170451.676286.742975e-09
0.5177711.6762026.690918e-09
0.5184981.6761246.638788e-09
0.5192251.6760466.586586e-09
0.5199541.6759696.534310e-09
0.5206841.6758916.481960e-09
0.5214151.6758146.429537e-09
0.5221471.6757376.377041e-09
0.5228791.6756616.324471e-09
0.5236131.6755846.271827e-09
0.5243481.6755086.219109e-09
0.5250841.6754326.166317e-09
0.5258211.6753576.113451e-09
0.5265591.6752816.060511e-09
0.5272981.6752066.007497e-09
0.5280381.6751315.954408e-09
0.5287791.6750565.901245e-09
0.5295211.6749825.848007e-09
0.5302651.6749075.794694e-09
0.5310091.6748335.741307e-09
0.5317541.6747595.687844e-09
0.5325011.6746865.634307e-09
0.5332481.6746125.580694e-09
0.5339961.6745395.527006e-09
0.5347461.6744665.473243e-09
0.5354961.6743935.419405e-09
0.5362481.6743215.365490e-09
0.5370011.6742495.311500e-09
0.5377541.6741775.257435e-09
0.5385091.6741055.203293e-09
0.5392651.6740335.149076e-09
0.5400221.6739625.094782e-09
0.540781.673895.040412e-09
0.5415391.6738194.985966e-09
0.5422991.6737494.931444e-09
0.543061.6736784.876845e-09
0.5438221.6736084.822169e-09
0.5445851.6735374.767416e-09
0.545351.6734674.712587e-09
0.5461151.6733984.657681e-09
0.5468821.6733284.602698e-09
0.5476491.6732594.547637e-09
0.5484181.673194.492499e-09
0.5491871.6731214.437284e-09
0.5499581.6730524.381992e-09
0.551.6730484.379000e-09
0.550731.6729834.384812e-09
0.5515031.6729154.390965e-09
0.5522771.6728474.397126e-09
0.5530521.6727794.403297e-09
0.5538291.6727114.409475e-09
0.5546061.6726444.415663e-09
0.5553841.6725774.421859e-09
0.5561641.6725094.428064e-09
0.5569441.6724424.434277e-09
0.5577261.6723764.440499e-09
0.5585091.6723094.446730e-09
0.5592931.6722434.452970e-09
0.5600781.6721774.459219e-09
0.5608641.6721114.465476e-09
0.5616511.6720454.471742e-09
0.5624391.6719794.478017e-09
0.5632291.6719144.484300e-09
0.5640191.6718494.490593e-09
0.5648111.6717844.496894e-09
0.5656041.6717194.503204e-09
0.5663971.6716554.509523e-09
0.5671921.671594.515851e-09
0.5679881.6715264.522188e-09
0.5687861.6714624.528533e-09
0.5695841.6713984.534888e-09
0.5703831.6713344.541251e-09
0.5711841.6712714.547624e-09
0.5719861.6712074.554005e-09
0.5727881.6711444.560395e-09
0.5735921.6710814.566795e-09
0.5743971.6710194.573203e-09
0.5752041.6709564.579620e-09
0.5760111.6708944.586046e-09
0.5768191.6708314.592481e-09
0.5776291.6707694.598926e-09
0.578441.6707074.605379e-09
0.5792511.6706464.611841e-09
0.5800641.6705844.618313e-09
0.5808791.6705234.624793e-09
0.5816941.6704624.631283e-09
0.582511.6704014.637782e-09
0.5833281.670344.644290e-09
0.5841471.6702794.650807e-09
0.5849661.6702194.657333e-09
0.5857871.6701584.663868e-09
0.586611.6700984.670413e-09
0.5874331.6700384.676966e-09
0.5882571.6699794.683529e-09
0.5890831.6699194.690101e-09
0.589911.669864.696682e-09
0.5907381.66984.703273e-09
0.5915671.6697414.709873e-09
0.5923971.6696824.716482e-09
0.5932291.6696234.723100e-09
0.5940611.6695654.729728e-09
0.5948951.6695064.736365e-09
0.595731.6694484.743011e-09
0.5965661.669394.749666e-09
0.5974031.6693324.756331e-09
0.5982421.6692744.763006e-09
0.5990821.6692164.769689e-09
0.5999221.6691594.776382e-09
0.61.6691544.777000e-09
0.6007641.6691024.862276e-09
0.6016081.6690454.956342e-09
0.6024521.6689885.050541e-09
0.6032981.6689315.144871e-09
0.6041441.6688745.239334e-09
0.6049921.6688175.333930e-09
0.6058411.6687615.428658e-09
0.6066921.6687055.523520e-09
0.6075431.6686495.618514e-09
0.6083961.6685935.713642e-09
0.609251.6685375.808903e-09
0.6101051.6684825.904298e-09
0.6109611.6684265.999827e-09
0.6118191.6683716.095490e-09
0.6126771.6683166.191287e-09
0.6135371.6682616.287219e-09
0.6143981.6682066.383285e-09
0.6152611.6681516.479486e-09
0.6161241.6680976.575822e-09
0.6169891.6680426.672294e-09
0.6178551.6679886.768901e-09
0.6187221.6679346.865643e-09
0.6195911.667886.962521e-09
0.620461.6678267.059535e-09
0.6213311.6677737.156686e-09
0.6222031.6677197.253972e-09
0.6230761.6676667.351395e-09
0.6239511.6676137.448955e-09
0.6248271.667567.546652e-09
0.6257041.6675077.644486e-09
0.6265821.6674547.742457e-09
0.6274611.6674017.840566e-09
0.6283421.6673497.938813e-09
0.6292241.6672968.037197e-09
0.6301071.6672448.135719e-09
0.6309911.6671928.234380e-09
0.6318771.667148.333179e-09
0.6327641.6670888.432117e-09
0.6336521.6670378.531194e-09
0.6345411.6669858.630410e-09
0.6354321.6669348.729765e-09
0.6363241.6668838.829259e-09
0.6372171.6668328.928893e-09
0.6381111.6667819.028667e-09
0.6390071.666739.128581e-09
0.6399041.6666799.228636e-09
0.6408021.6666289.328830e-09
0.6417011.6665789.429166e-09
0.6426021.6665289.529642e-09
0.6435041.6664789.630259e-09
0.6444071.6664289.731017e-09
0.6453111.6663789.831917e-09
0.6462171.6663289.932959e-09
0.6471241.6662781.003414e-08
0.6480321.6662291.013547e-08
0.6489421.6661791.023693e-08
0.6498521.666131.033854e-08
0.651.6661221.035500e-08
0.6507651.6660811.028188e-08
0.6516781.6660321.019453e-08
0.6525931.6659831.010705e-08
0.6535091.6659351.001946e-08
0.6544261.6658869.931739e-09
0.6553441.6658379.843897e-09
0.6562641.6657899.755931e-09
0.6571851.6657419.667842e-09
0.6581081.6656939.579629e-09
0.6590311.6656459.491293e-09
0.6599561.6655979.402833e-09
0.6608821.6655499.314248e-09
0.661811.6655029.225539e-09
0.6627391.6654549.136706e-09
0.6636691.6654079.047748e-09
0.6646011.665368.958665e-09
0.6655331.6653128.869457e-09
0.6664671.6652658.780123e-09
0.6674031.6652198.690665e-09
0.668341.6651728.601081e-09
0.6692781.6651258.511371e-09
0.6702171.6650798.421535e-09
0.6711581.6650328.331573e-09
0.67211.6649868.241485e-09
0.6730431.664948.151271e-09
0.6739881.6648948.060929e-09
0.6749331.6648487.970461e-09
0.6758811.6648027.879866e-09
0.6768291.6647567.789144e-09
0.6777791.6647117.698295e-09
0.6787311.6646657.607318e-09
0.6796831.664627.516213e-09
0.6806371.6645757.424981e-09
0.6815921.664537.333620e-09
0.6825491.6644857.242131e-09
0.6835071.664447.150514e-09
0.6844661.6643957.058768e-09
0.6854271.664356.966894e-09
0.6863891.6643066.874890e-09
0.6873521.6642616.782758e-09
0.6883171.6642176.690496e-09
0.6892831.6641736.598104e-09
0.6902511.6641296.505583e-09
0.6912191.6640856.412932e-09
0.692191.6640416.320151e-09
0.6931611.6639976.227240e-09
0.6941341.6639536.134198e-09
0.6951081.663916.041026e-09
0.6960841.6638665.947723e-09
0.6970611.6638235.854289e-09
0.6980391.663785.760724e-09
0.6990191.6637365.667028e-09
0.71.6636935.573200e-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
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—