Optical constants

Refractive index of BAF3 (HIKARI)

BAF3: 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
1.58267
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.50484
Permittivity ε2
1.48084e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
46.477
Chromatic dispersion dn/dλ
-0.0641138 µm⁻¹
Group index ng
1.62034
Group velocity dispersion
118.265 fs²/mm
Dispersion parameter D
-645.196 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

# BAF3 (HIKARI): BAF3
hikari_baf3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "BAF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_baf3.range_nm)  # (400, 700) nm
eps = hikari_baf3.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=2.438682+0.001609961⁢λ2.0+0.02688829⁢λ−2.0−0.002446579⁢λ−4.0+0.0003965661⁢λ−6.0−1.973046×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.438682
C20.001609961
C32.0
C40.02688829
C5-2.0
C6-0.002446579
C7-4.0
C80.0003965661
C9-6.0
C10-1.973046e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.582670
Vd
46.476929
glass code
583465
glass status
preferred
density
value: 3280
thermal expansion
value: 9.1e-06, temperature range: 243 343
dPgF
0.0009

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
BAF3 (HIKARI), BAF3: n and k versus wavelength
λ (µm)nk
0.41.6056571.915600e-08
0.4005611.6055291.899431e-08
0.4011241.6054011.883240e-08
0.4016871.6052741.867026e-08
0.402251.6051481.850789e-08
0.4028151.6050211.834529e-08
0.403381.6048951.818247e-08
0.4039461.604771.801942e-08
0.4045131.6046451.785613e-08
0.4050811.6045211.769262e-08
0.405651.6043961.752888e-08
0.4062191.6042731.736491e-08
0.4067891.6041491.720071e-08
0.407361.6040261.703628e-08
0.4079321.6039041.687162e-08
0.4085041.6037821.670673e-08
0.4090781.603661.654160e-08
0.4096521.6035391.637625e-08
0.4102271.6034181.621066e-08
0.4108031.6032971.604484e-08
0.4113791.6031771.587878e-08
0.4119571.6030581.571250e-08
0.4125351.6029381.554598e-08
0.4131141.602821.537923e-08
0.4136941.6027011.521224e-08
0.4142741.6025831.504502e-08
0.4148561.6024651.487756e-08
0.4154381.6023481.470987e-08
0.4160211.6022311.454194e-08
0.4166051.6021151.437378e-08
0.417191.6019991.420538e-08
0.4177751.6018831.403674e-08
0.4183621.6017681.386787e-08
0.4189491.6016531.369876e-08
0.4195371.6015391.352942e-08
0.421.6014491.339600e-08
0.4201261.6014251.337794e-08
0.4207151.6013111.329315e-08
0.4213061.6011981.320824e-08
0.4218971.6010851.312321e-08
0.4224891.6009721.303806e-08
0.4230821.600861.295279e-08
0.4236761.6007481.286740e-08
0.4242711.6006371.278189e-08
0.4248661.6005261.269626e-08
0.4254621.6004151.261051e-08
0.426061.6003051.252464e-08
0.4266581.6001951.243865e-08
0.4272561.6000861.235254e-08
0.4278561.5999771.226630e-08
0.4284571.5998681.217995e-08
0.4290581.599761.209348e-08
0.429661.5996521.200688e-08
0.4302631.5995441.192016e-08
0.4308671.5994371.183332e-08
0.4314721.599331.174636e-08
0.4320771.5992241.165928e-08
0.4326841.5991181.157208e-08
0.4332911.5990121.148475e-08
0.4338991.5989061.139730e-08
0.4345081.5988011.130972e-08
0.4351181.5986971.122203e-08
0.4357291.5985921.113421e-08
0.436341.5984881.104627e-08
0.4369531.5983851.095820e-08
0.4375661.5982821.087001e-08
0.438181.5981791.078170e-08
0.4387951.5980761.069326e-08
0.4394111.5979741.060470e-08
0.441.5978771.052000e-08
0.4400281.5978721.051050e-08
0.4406451.5977711.029874e-08
0.4412641.597671.008669e-08
0.4418831.5975699.874333e-09
0.4425031.5974699.661680e-09
0.4431241.5973699.448729e-09
0.4437461.5972699.235478e-09
0.4443691.5971699.021929e-09
0.4449931.597078.808080e-09
0.4456171.5969728.593930e-09
0.4462431.5968738.379480e-09
0.4468691.5967758.164730e-09
0.4474961.5966787.949677e-09
0.4481241.596587.734323e-09
0.4487531.5964837.518667e-09
0.4493831.5963877.302708e-09
0.4500141.596297.086445e-09
0.4506451.5961946.869880e-09
0.4512781.5960996.653010e-09
0.4519111.5960036.435836e-09
0.4525461.5959086.218357e-09
0.4531811.5958146.000573e-09
0.4538171.5957195.782483e-09
0.4544541.5956255.564087e-09
0.4550921.5955315.345385e-09
0.455731.5954385.126376e-09
0.456371.5953454.907059e-09
0.4570111.5952524.687434e-09
0.4576521.595164.467502e-09
0.4582941.5950684.247260e-09
0.4589381.5949764.026709e-09
0.4595821.5948843.805849e-09
0.461.5948253.662400e-09
0.4602271.5947933.664204e-09
0.4608731.5947023.669346e-09
0.4615191.5946123.674495e-09
0.4621671.5945213.679651e-09
0.4628161.5944313.684814e-09
0.4634651.5943423.689985e-09
0.4641161.5942523.695163e-09
0.4647671.5941633.700348e-09
0.465421.5940753.705541e-09
0.4660731.5939863.710740e-09
0.4667271.5938983.715947e-09
0.4673821.593813.721162e-09
0.4680381.5937233.726383e-09
0.4686951.5936353.731612e-09
0.4693531.5935483.736848e-09
0.4700121.5934623.742092e-09
0.4706711.5933753.747343e-09
0.4713321.5932893.752602e-09
0.4719931.5932033.757867e-09
0.4726561.5931183.763140e-09
0.4733191.5930333.768421e-09
0.4739841.5929483.773709e-09
0.4746491.5928633.779004e-09
0.4753151.5927793.784307e-09
0.4759821.5926953.789617e-09
0.476651.5926113.794935e-09
0.4773191.5925273.800260e-09
0.4779891.5924443.805593e-09
0.478661.5923613.810933e-09
0.4793321.5922783.816281e-09
0.481.5921963.821600e-09
0.4800051.5921963.821636e-09
0.4806781.5921143.827002e-09
0.4813531.5920323.832376e-09
0.4820281.591953.837757e-09
0.4827051.5918693.843145e-09
0.4833821.5917883.848541e-09
0.4840611.5917073.853945e-09
0.484741.5916263.859357e-09
0.4854211.5915463.864776e-09
0.4861021.5914663.870202e-09
0.4867841.5913863.875636e-09
0.4874671.5913073.881078e-09
0.4881521.5912283.886528e-09
0.4888371.5911493.891985e-09
0.4895231.591073.897450e-09
0.490211.5909923.902922e-09
0.4908981.5909133.908402e-09
0.4915871.5908353.913890e-09
0.4922771.5907583.919385e-09
0.4929681.590683.924889e-09
0.493661.5906033.930400e-09
0.4943531.5905263.935918e-09
0.4950461.590453.941445e-09
0.4957411.5903733.946979e-09
0.4964371.5902973.952521e-09
0.4971341.5902213.958071e-09
0.4978321.5901453.963628e-09
0.498531.590073.969193e-09
0.499231.5899953.974766e-09
0.4999311.589923.980347e-09
0.51.5899123.980900e-09
0.5006321.5898453.985934e-09
0.5013351.5897713.991529e-09
0.5020391.5896963.997131e-09
0.5027431.5896224.002741e-09
0.5034491.5895494.008360e-09
0.5041551.5894754.013986e-09
0.5048631.5894024.019619e-09
0.5055721.5893294.025261e-09
0.5062811.5892564.030911e-09
0.5069921.5891834.036569e-09
0.5077031.5891114.042234e-09
0.5084161.5890394.047908e-09
0.509131.5889674.053589e-09
0.5098441.5888954.059279e-09
0.510561.5888244.064976e-09
0.5112761.5887534.070682e-09
0.5119941.5886824.076395e-09
0.5127121.5886114.082117e-09
0.5134321.5885414.087846e-09
0.5141531.588474.093584e-09
0.5148741.58844.099329e-09
0.5155971.588334.105083e-09
0.5163211.5882614.110845e-09
0.5170451.5881914.116614e-09
0.5177711.5881224.122392e-09
0.5184981.5880534.128178e-09
0.5192251.5879844.133973e-09
0.5199541.5879164.139775e-09
0.5206841.5878474.145585e-09
0.5214151.5877794.151404e-09
0.5221471.5877114.157231e-09
0.5228791.5876434.163066e-09
0.5236131.5875764.168909e-09
0.5243481.5875094.174760e-09
0.5250841.5874424.180620e-09
0.5258211.5873754.186487e-09
0.5265591.5873084.192363e-09
0.5272981.5872424.198248e-09
0.5280381.5871754.204140e-09
0.5287791.5871094.210041e-09
0.5295211.5870434.215950e-09
0.5302651.5869784.221867e-09
0.5310091.5869124.227793e-09
0.5317541.5868474.233727e-09
0.5325011.5867824.239669e-09
0.5332481.5867174.245620e-09
0.5339961.5866524.251579e-09
0.5347461.5865884.257546e-09
0.5354961.5865244.263522e-09
0.5362481.586464.269506e-09
0.5370011.5863964.275499e-09
0.5377541.5863324.281500e-09
0.5385091.5862694.287509e-09
0.5392651.5862054.293527e-09
0.5400221.5861424.299553e-09
0.540781.5860794.305588e-09
0.5415391.5860174.311631e-09
0.5422991.5859544.317682e-09
0.543061.5858924.323743e-09
0.5438221.585834.329811e-09
0.5445851.5857684.335888e-09
0.545351.5857064.341974e-09
0.5461151.5856444.348068e-09
0.5468821.5855834.354171e-09
0.5476491.5855224.360282e-09
0.5484181.5854614.366402e-09
0.5491871.58544.372531e-09
0.5499581.5853394.378668e-09
0.551.5853364.379000e-09
0.550731.5852784.384812e-09
0.5515031.5852184.390965e-09
0.5522771.5851584.397126e-09
0.5530521.5850984.403297e-09
0.5538291.5850384.409475e-09
0.5546061.5849794.415663e-09
0.5553841.5849194.421859e-09
0.5561641.584864.428064e-09
0.5569441.5848014.434277e-09
0.5577261.5847424.440499e-09
0.5585091.5846834.446730e-09
0.5592931.5846254.452970e-09
0.5600781.5845664.459219e-09
0.5608641.5845084.465476e-09
0.5616511.584454.471742e-09
0.5624391.5843924.478017e-09
0.5632291.5843344.484300e-09
0.5640191.5842774.490593e-09
0.5648111.5842194.496894e-09
0.5656041.5841624.503204e-09
0.5663971.5841054.509523e-09
0.5671921.5840484.515851e-09
0.5679881.5839924.522188e-09
0.5687861.5839354.528533e-09
0.5695841.5838794.534888e-09
0.5703831.5838224.541251e-09
0.5711841.5837664.547624e-09
0.5719861.583714.554005e-09
0.5727881.5836554.560395e-09
0.5735921.5835994.566795e-09
0.5743971.5835444.573203e-09
0.5752041.5834884.579620e-09
0.5760111.5834334.586046e-09
0.5768191.5833784.592481e-09
0.5776291.5833244.598926e-09
0.578441.5832694.605379e-09
0.5792511.5832154.611841e-09
0.5800641.583164.618313e-09
0.5808791.5831064.624793e-09
0.5816941.5830524.631283e-09
0.582511.5829984.637782e-09
0.5833281.5829454.644290e-09
0.5841471.5828914.650807e-09
0.5849661.5828384.657333e-09
0.5857871.5827844.663868e-09
0.586611.5827314.670413e-09
0.5874331.5826784.676966e-09
0.5882571.5826264.683529e-09
0.5890831.5825734.690101e-09
0.589911.582524.696682e-09
0.5907381.5824684.703273e-09
0.5915671.5824164.709873e-09
0.5923971.5823644.716482e-09
0.5932291.5823124.723100e-09
0.5940611.582264.729728e-09
0.5948951.5822084.736365e-09
0.595731.5821574.743011e-09
0.5965661.5821064.749666e-09
0.5974031.5820544.756331e-09
0.5982421.5820034.763006e-09
0.5990821.5819534.769689e-09
0.5999221.5819024.776382e-09
0.61.5818974.777000e-09
0.6007641.5818514.783086e-09
0.6016081.5818014.789800e-09
0.6024521.581754.796523e-09
0.6032981.58174.803255e-09
0.6041441.581654.809997e-09
0.6049921.58164.816748e-09
0.6058411.581554.823509e-09
0.6066921.5815014.830279e-09
0.6075431.5814514.837059e-09
0.6083961.5814024.843848e-09
0.609251.5813534.850647e-09
0.6101051.5813044.857455e-09
0.6109611.5812554.864273e-09
0.6118191.5812064.871100e-09
0.6126771.5811574.877937e-09
0.6135371.5811094.884784e-09
0.6143981.581064.891640e-09
0.6152611.5810124.898506e-09
0.6161241.5809644.905381e-09
0.6169891.5809164.912266e-09
0.6178551.5808684.919161e-09
0.6187221.580824.926066e-09
0.6195911.5807724.932980e-09
0.620461.5807254.939904e-09
0.6213311.5806774.946837e-09
0.6222031.580634.953781e-09
0.6230761.5805834.960734e-09
0.6239511.5805364.967697e-09
0.6248271.5804894.974669e-09
0.6257041.5804424.981652e-09
0.6265821.5803964.988644e-09
0.6274611.5803494.995646e-09
0.6283421.5803035.002658e-09
0.6292241.5802575.009679e-09
0.6301071.5802115.016711e-09
0.6309911.5801655.023752e-09
0.6318771.5801195.030803e-09
0.6327641.5800735.037865e-09
0.6336521.5800285.044936e-09
0.6345411.5799825.052017e-09
0.6354321.5799375.059108e-09
0.6363241.5798915.066208e-09
0.6372171.5798465.073319e-09
0.6381111.5798015.080440e-09
0.6390071.5797565.087571e-09
0.6399041.5797125.094712e-09
0.6408021.5796675.101863e-09
0.6417011.5796235.109024e-09
0.6426021.5795785.116194e-09
0.6435041.5795345.123375e-09
0.6444071.579495.130567e-09
0.6453111.5794465.137768e-09
0.6462171.5794025.144979e-09
0.6471241.5793585.152200e-09
0.6480321.5793145.159432e-09
0.6489421.5792715.166674e-09
0.6498521.5792275.173926e-09
0.651.579225.175100e-09
0.6507651.5791845.181188e-09
0.6516781.5791415.188460e-09
0.6525931.5790975.195742e-09
0.6535091.5790545.203035e-09
0.6544261.5790125.210338e-09
0.6553441.5789695.217651e-09
0.6562641.5789265.224974e-09
0.6571851.5788845.232308e-09
0.6581081.5788415.239652e-09
0.6590311.5787995.247006e-09
0.6599561.5787575.254371e-09
0.6608821.5787155.261746e-09
0.661811.5786735.269131e-09
0.6627391.5786315.276527e-09
0.6636691.5785895.283933e-09
0.6646011.5785475.291349e-09
0.6655331.5785065.298776e-09
0.6664671.5784645.306213e-09
0.6674031.5784235.313661e-09
0.668341.5783825.321119e-09
0.6692781.5783415.328588e-09
0.6702171.57835.336067e-09
0.6711581.5782595.343557e-09
0.67211.5782185.351057e-09
0.6730431.5781775.358567e-09
0.6739881.5781375.366089e-09
0.6749331.5780965.373620e-09
0.6758811.5780565.381163e-09
0.6768291.5780165.388716e-09
0.6777791.5779765.396279e-09
0.6787311.5779365.403853e-09
0.6796831.5778965.411438e-09
0.6806371.5778565.419033e-09
0.6815921.5778165.426639e-09
0.6825491.5777765.434256e-09
0.6835071.5777375.441884e-09
0.6844661.5776985.449522e-09
0.6854271.5776585.457171e-09
0.6863891.5776195.464830e-09
0.6873521.577585.472500e-09
0.6883171.5775415.480182e-09
0.6892831.5775025.487873e-09
0.6902511.5774635.495576e-09
0.6912191.5774245.503290e-09
0.692191.5773865.511014e-09
0.6931611.5773475.518749e-09
0.6941341.5773095.526495e-09
0.6951081.5772715.534252e-09
0.6960841.5772335.542020e-09
0.6970611.5771945.549798e-09
0.6980391.5771565.557588e-09
0.6990191.5771195.565389e-09
0.71.5770815.573200e-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
—