Optical constants

Refractive index of J-BAF12 (HIKARI)

J-BAF12: n,k 0.365–2.058 µm

Data
formula 3 + tabulated k
Range
0.365–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.058 µm
Refractive index n
1.6393
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.6873
Permittivity ε2
6.14456e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
44.834
Chromatic dispersion dn/dλ
-0.07279 µm⁻¹
Group index ng
1.68207
Group velocity dispersion
136.006 fs²/mm
Dispersion parameter D
-741.984 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

# J-BAF12 (HIKARI): J-BAF12
hikari_j_baf12 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-BAF12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_baf12.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_baf12.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=2.62810335−0.00995087731⁢λ2.0−0.000144740792⁢λ4.0+0.0206473464⁢λ−2.0+0.000162531777⁢λ−4.0+7.85240289×10-5⁢λ−6.0−7.45350927×10-6⁢λ−8.0+4.83617341×10-7⁢λ−10.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.62810335
C2-0.00995087731
C32.0
C4-0.000144740792
C54.0
C60.0206473464
C7-2.0
C80.000162531777
C9-4.0
C107.85240289e-05
C11-6.0
C12-7.45350927e-06
C13-8.0
C144.83617341e-07
C15-10.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.86e-06 1.3085e-08 -2.2674e-12 7.946e-07 9.6385e-10 0.17031
nd
1.639300
Vd
44.834133
density
value: 3230
thermal expansion
value: 6.7e-06, temperature range: 243 343
dPgF
0.0005
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.05e-06 K⁻¹ at 633 nm, dn/dT = 1.17e-06 K⁻¹ at 1310 nm, dn/dT = 1.09e-06 K⁻¹ at 1550 nm

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 421 wavelengths, the same grid as the API and the library
J-BAF12 (HIKARI), J-BAF12: n and k versus wavelength
λ (µm)nk
0.3650151.6768921.682325e-06
0.3666011.6762831.494704e-06
0.3681931.6756821.306268e-06
0.3697931.675091.117013e-06
0.371.6750141.092500e-06
0.3713991.6745071.013402e-06
0.3730131.6739319.221989e-07
0.3746331.6733638.305994e-07
0.3762611.6728027.386021e-07
0.3778951.6722496.462050e-07
0.3795371.6717045.534066e-07
0.381.6715525.272300e-07
0.3811861.6711654.982096e-07
0.3828421.6706344.576800e-07
0.3845051.670114.169743e-07
0.3861751.6695923.760918e-07
0.3878531.6690813.350316e-07
0.3895381.6685772.937931e-07
0.391.668442.824800e-07
0.391231.6680782.686424e-07
0.392931.6675872.495219e-07
0.3946371.6671012.303184e-07
0.3963511.6666212.110315e-07
0.3980731.6661481.916608e-07
0.3998021.665681.722059e-07
0.41.6656271.699800e-07
0.4015391.6652181.634116e-07
0.4032831.6647611.559665e-07
0.4050351.664311.484890e-07
0.4067951.6638641.409791e-07
0.4085621.6634241.334366e-07
0.4103371.6629891.258613e-07
0.412121.6625591.182530e-07
0.413911.6621341.106117e-07
0.4157081.6617151.029373e-07
0.4175141.66139.522946e-08
0.4193281.6608898.748817e-08
0.421.6607398.461900e-08
0.4211491.6604848.341096e-08
0.4229791.6600838.148809e-08
0.4248171.6596877.955685e-08
0.4266621.6592967.761723e-08
0.4285161.6589087.566918e-08
0.4303771.6585267.371267e-08
0.4322471.6581477.174766e-08
0.4341251.6577736.977411e-08
0.436011.6574036.779199e-08
0.4379051.6570376.580125e-08
0.4398071.6566756.380187e-08
0.441.6566396.359900e-08
0.4417181.6563176.225069e-08
0.4436371.6559636.074433e-08
0.4455641.6556135.923143e-08
0.4474991.6552675.771196e-08
0.4494431.6549245.618589e-08
0.4513961.6545855.465318e-08
0.4533571.654255.311382e-08
0.4553261.6539185.156778e-08
0.4573041.653595.001501e-08
0.4592911.6532664.845550e-08
0.461.6531514.789900e-08
0.4612861.6529454.728734e-08
0.463291.6526274.633447e-08
0.4653031.6523134.537746e-08
0.4673241.6520024.441629e-08
0.4693541.6516944.345095e-08
0.4713931.6513894.248141e-08
0.4734411.6510884.150766e-08
0.4754981.6507894.052968e-08
0.4775641.6504943.954745e-08
0.4796381.6502023.856095e-08
0.481.6501523.838900e-08
0.4817221.6499133.749018e-08
0.4838151.6496273.639789e-08
0.4859171.6493433.530086e-08
0.4880271.6490633.419905e-08
0.4901481.6487853.309246e-08
0.4922771.6485113.198107e-08
0.4944151.6482393.086484e-08
0.4965631.6479692.974377e-08
0.4987211.6477032.861783e-08
0.51.6475462.795000e-08
0.5008871.6474392.776535e-08
0.5030631.6471782.731240e-08
0.5052481.6469192.685748e-08
0.5074431.6466632.640058e-08
0.5096481.6464092.594171e-08
0.5118621.6461582.548083e-08
0.5140861.6459092.501796e-08
0.5163191.6456632.455307e-08
0.5185621.6454192.408617e-08
0.5208151.6451782.361724e-08
0.5230771.6449392.314626e-08
0.5253491.6447022.267325e-08
0.5276321.6444672.219818e-08
0.5299241.6442352.172104e-08
0.5322261.6440052.124183e-08
0.5345381.6437772.076054e-08
0.536861.6435512.027716e-08
0.5391931.6433281.979168e-08
0.5415351.6431061.930409e-08
0.5438871.6428871.881439e-08
0.546251.6426691.832255e-08
0.5486231.6424541.782858e-08
0.551.642331.754200e-08
0.5510071.6422411.757411e-08
0.55341.6420291.765047e-08
0.5558041.641821.772716e-08
0.5582191.6416131.780419e-08
0.5606441.6414071.788154e-08
0.563081.6412041.795924e-08
0.5655261.6410021.803727e-08
0.5679821.6408021.811564e-08
0.570451.6406041.819435e-08
0.5729281.6404081.827341e-08
0.5754171.6402131.835280e-08
0.5779171.640021.843255e-08
0.5804271.6398291.851263e-08
0.5829491.639641.859307e-08
0.5854811.6394521.867386e-08
0.5880251.6392661.875499e-08
0.5905791.6390821.883648e-08
0.5931451.6388991.891832e-08
0.5957221.6387181.900052e-08
0.598311.6385391.908308e-08
0.61.6384231.913700e-08
0.6009091.6383611.926045e-08
0.6035191.6381851.961500e-08
0.6061411.638011.997110e-08
0.6087741.6378362.032874e-08
0.6114191.6376652.068794e-08
0.6140751.6374942.104870e-08
0.6167431.6373252.141102e-08
0.6194221.6371582.177492e-08
0.6221131.6369922.214040e-08
0.6248161.6368272.250747e-08
0.627531.6366642.287613e-08
0.6302561.6365022.324640e-08
0.6329941.6363422.361827e-08
0.6357441.6361832.399176e-08
0.6385061.6360252.436687e-08
0.641281.6358682.474361e-08
0.6440661.6357132.512199e-08
0.6468641.6355592.550201e-08
0.6496741.6354062.588368e-08
0.651.6353892.592800e-08
0.6524961.6352552.574819e-08
0.6553311.6351052.554398e-08
0.6581781.6349562.533889e-08
0.6610371.6348082.513291e-08
0.6639081.6346612.492603e-08
0.6667931.6345162.471826e-08
0.6696891.6343722.450958e-08
0.6725991.6342282.429999e-08
0.6755211.6340862.408950e-08
0.6784551.6339462.387809e-08
0.6814031.6338062.366576e-08
0.6843631.6336672.345251e-08
0.6873361.6335292.323833e-08
0.6903221.6333932.302322e-08
0.6933211.6332572.280718e-08
0.6963331.6331232.259020e-08
0.6993581.6329892.237228e-08
0.71.6329612.232600e-08
0.7023961.6328572.270899e-08
0.7054471.6327252.319678e-08
0.7085121.6325952.368669e-08
0.711591.6324652.417873e-08
0.7146811.6323372.467291e-08
0.7177861.6322092.516923e-08
0.7209041.6320832.566771e-08
0.7240361.6319572.616836e-08
0.7271811.6318322.667118e-08
0.730341.6317082.717618e-08
0.7335131.6315852.768338e-08
0.73671.6314632.819279e-08
0.73991.6313422.870440e-08
0.7431141.6312212.921824e-08
0.7463421.6311022.973431e-08
0.7495851.6309833.025262e-08
0.7528411.6308653.077318e-08
0.7561121.6307483.129601e-08
0.7593961.6306313.182111e-08
0.7626951.6305163.234848e-08
0.7660091.6304013.287815e-08
0.7693361.6302873.341012e-08
0.7726791.6301743.394440e-08
0.7760351.6300613.448100e-08
0.7794071.629953.501994e-08
0.7827931.6298393.556121e-08
0.7861931.6297283.610483e-08
0.7896091.6296193.665082e-08
0.7930391.629513.719918e-08
0.7964841.6294023.774992e-08
0.7999441.6292943.830306e-08
0.81.6292923.831200e-08
0.8034191.6291873.724704e-08
0.8069091.6290813.615996e-08
0.8104151.6289753.506815e-08
0.8139351.6288713.397160e-08
0.8174711.6287663.287029e-08
0.8210231.6286633.176419e-08
0.8245891.628563.065329e-08
0.8281721.6284572.953756e-08
0.8317691.6283552.841698e-08
0.8353831.6282542.729154e-08
0.8390121.6281532.616121e-08
0.8426571.6280532.502596e-08
0.8463171.6279542.388579e-08
0.8499941.6278552.274066e-08
0.8536871.6277562.159055e-08
0.8573951.6276582.043545e-08
0.861121.6275611.927534e-08
0.8648611.6274641.811018e-08
0.8686181.6273681.693996e-08
0.8723911.6272721.576466e-08
0.8761811.6271771.458425e-08
0.8799881.6270821.339871e-08
0.8838111.6269871.220802e-08
0.887651.6268931.101216e-08
0.8915061.62689.811108e-09
0.8953791.6267078.604835e-09
0.8992691.6266147.393322e-09
0.91.6265977.165600e-09
0.9031751.6265227.697287e-09
0.9070991.6264318.354232e-09
0.911041.6263399.014030e-09
0.9149981.6262499.676696e-09
0.9189721.6261581.034224e-08
0.9229651.6260681.101068e-08
0.9269741.6259781.168201e-08
0.9310011.6258891.235627e-08
0.9350461.62581.303345e-08
0.9391081.6257121.371358e-08
0.9431881.6256241.439666e-08
0.9472851.6255361.508271e-08
0.95141.6254481.577174e-08
0.9555331.6253611.646376e-08
0.9596841.6252741.715879e-08
0.9638531.6251881.785684e-08
0.9680411.6251021.855792e-08
0.9722461.6250161.926205e-08
0.976471.624931.996923e-08
0.9807121.6248452.067949e-08
0.9849721.624762.139283e-08
0.9892511.6246762.210927e-08
0.9935491.6245912.282883e-08
0.9978651.6245072.355151e-08
11.6244662.390900e-08
1.00221.6244232.385630e-08
1.006551.624342.375201e-08
1.010931.6242562.364726e-08
1.015321.6241732.354206e-08
1.019731.624092.343640e-08
1.024161.6240082.333028e-08
1.028611.6239252.322370e-08
1.033081.6238432.311665e-08
1.037561.6237612.300915e-08
1.042071.6236792.290117e-08
1.04661.6235982.279273e-08
1.051151.6235162.268381e-08
1.055711.6234352.257442e-08
1.06031.6233542.246456e-08
1.06491.6232732.235422e-08
1.069531.6231922.224340e-08
1.074181.6231122.213209e-08
1.078841.6230312.202031e-08
1.083531.6229512.190804e-08
1.088241.6228712.179528e-08
1.092961.6227912.168203e-08
1.097711.6227112.156829e-08
1.102481.6226312.145406e-08
1.107271.6225522.133932e-08
1.112081.6224722.122409e-08
1.116911.6223932.110837e-08
1.121761.6223132.099213e-08
1.126641.6222342.087539e-08
1.131531.6221552.075815e-08
1.136451.6220752.064040e-08
1.141381.6219962.052213e-08
1.146341.6219172.040335e-08
1.151321.6218382.028405e-08
1.156321.6217592.016424e-08
1.161351.621682.004391e-08
1.166391.6216011.992305e-08
1.171461.6215231.980167e-08
1.176551.6214441.967976e-08
1.181661.6213651.955732e-08
1.186791.6212861.943435e-08
1.191951.6212071.931084e-08
1.197131.6211281.918680e-08
1.21.6210851.911800e-08
1.202331.6210492.019901e-08
1.207551.620972.262393e-08
1.21281.6208922.505939e-08
1.218071.6208132.750542e-08
1.223361.6207342.996209e-08
1.228671.6206553.242942e-08
1.234011.6205753.490747e-08
1.239371.6204963.739629e-08
1.244751.6204173.989592e-08
1.250161.6203384.240641e-08
1.255591.6202584.492780e-08
1.261051.6201794.746015e-08
1.266531.6200995.000350e-08
1.272031.620025.255790e-08
1.277551.619945.512340e-08
1.28311.619865.770004e-08
1.288681.619786.028787e-08
1.294281.61976.288695e-08
1.29991.6196196.549732e-08
1.305551.6195396.811902e-08
1.311221.6194597.075212e-08
1.316911.6193787.339666e-08
1.322641.6192977.605268e-08
1.328381.6192167.872024e-08
1.334151.6191358.139939e-08
1.339951.6190538.409018e-08
1.345771.6189728.679266e-08
1.351621.618898.950688e-08
1.357491.6188089.223289e-08
1.363381.6187269.497075e-08
1.369311.6186439.772049e-08
1.375261.6185611.004822e-07
1.381231.6184781.032559e-07
1.387231.6183951.060416e-07
1.393261.6183111.088395e-07
1.399311.6182281.116495e-07
1.41.6182181.119700e-07
1.405391.6181441.124008e-07
1.411491.618061.128889e-07
1.417631.6179751.133792e-07
1.423781.6178911.138715e-07
1.429971.6178061.143661e-07
1.436181.6177211.148627e-07
1.442421.6176351.153615e-07
1.448691.6175491.158625e-07
1.454981.6174631.163657e-07
1.46131.6173761.168710e-07
1.467651.617291.173786e-07
1.474031.6172021.178883e-07
1.480431.6171151.184003e-07
1.486861.6170271.189145e-07
1.493321.6169391.194309e-07
1.499811.616851.199495e-07
1.506321.6167611.204704e-07
1.512871.6166721.209936e-07
1.519441.6165821.215191e-07
1.526041.6164921.220468e-07
1.532671.6164021.225768e-07
1.539331.6163111.231092e-07
1.546011.6162191.236438e-07
1.552731.6161271.241808e-07
1.559481.6160351.247201e-07
1.566251.6159431.252617e-07
1.573051.6158491.258057e-07
1.579891.6157561.263521e-07
1.586751.6156621.269008e-07
1.593641.6155671.274519e-07
1.61.615481.279600e-07
1.600571.6154721.283769e-07
1.607521.6153771.334809e-07
1.61451.615281.386071e-07
1.621521.6151841.437556e-07
1.628561.6150871.489264e-07
1.635641.6149891.541197e-07
1.642741.6148911.593356e-07
1.649881.6147921.645741e-07
1.657051.6146931.698354e-07
1.664251.6145931.751195e-07
1.671481.6144931.804266e-07
1.678741.6143921.857567e-07
1.686031.614291.911100e-07
1.693351.6141881.964866e-07
1.700711.6140852.018865e-07
1.70811.6139822.073099e-07
1.715521.6138782.127568e-07
1.722971.6137732.182274e-07
1.730461.6136682.237217e-07
1.737971.6135622.292400e-07
1.745521.6134552.347822e-07
1.753111.6133482.403484e-07
1.760721.613242.459389e-07
1.768371.6131312.515537e-07
1.776051.6130222.571928e-07
1.783771.6129112.628564e-07
1.791521.6128012.685447e-07
1.79931.6126892.742576e-07
1.81.6126792.747700e-07
1.807121.6125772.834137e-07
1.814971.6124632.929462e-07
1.822851.612353.025202e-07
1.830771.6122353.121357e-07
1.838731.6121193.217930e-07
1.846711.6120033.314922e-07
1.854741.6118863.412336e-07
1.862791.6117683.510173e-07
1.870891.6116493.608436e-07
1.879011.611533.707125e-07
1.887181.6114093.806242e-07
1.895371.6112883.905791e-07
1.903611.6111664.005771e-07
1.911881.6110434.106186e-07
1.920181.6109194.207038e-07
1.928531.6107944.308327e-07
1.93691.6106684.410057e-07
1.945321.6105414.512228e-07
1.953771.6104134.614843e-07
1.962261.6102854.717904e-07
1.970781.6101554.821413e-07
1.979341.6100244.925372e-07
1.987941.6098935.029782e-07
1.996581.609765.134645e-07
21.6097075.176200e-07
2.005251.6096265.494059e-07
2.013961.6094916.021345e-07
2.022711.6093566.550920e-07
2.03151.6092197.082797e-07
2.040321.6090817.616984e-07
2.049191.6089428.153491e-07
2.058091.6088018.692330e-07

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
—