Optical constants

Refractive index of J-BAF4 (HIKARI)

J-BAF4: 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
1.60562
Extinction coefficient k
3.39405e-08
Permittivity ε1
2.57801
Permittivity ε2
1.08991e-07
Absorption coefficient α
0.00725849 cm⁻¹
Penetration depth δ = λ/(2πk)
2.75539e+09 nm
Abbe number Vd
43.485
Chromatic dispersion dn/dλ
-0.0710071 µm⁻¹
Group index ng
1.64734
Group velocity dispersion
133.229 fs²/mm
Dispersion parameter D
-726.836 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-BAF4 (HIKARI): J-BAF4
hikari_j_baf4 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-BAF4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_baf4.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_baf4.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=2.5217584−0.00979498428⁢λ2.0−0.000134973275⁢λ4.0+0.0197297837⁢λ−2.0+7.13034071×10-5⁢λ−4.0+0.000103716753⁢λ−6.0−1.06452623×10-5⁢λ−8.0+6.6389953×10-7⁢λ−10.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.5217584
C2-0.00979498428
C32.0
C4-0.000134973275
C54.0
C60.0197297837
C7-2.0
C87.13034071e-05
C9-4.0
C100.000103716753
C11-6.0
C12-1.06452623e-05
C13-8.0
C146.6389953e-07
C15-10.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.3473e-06 1.431e-08 -1.8956e-12 6.3783e-07 8.1249e-10 0.24741
nd
1.605620
Vd
43.484529
glass status
preferred
density
value: 2890
thermal expansion
value: 6.2e-06, temperature range: 243 343
dPgF
0.0013
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.05e-06 K⁻¹ at 633 nm, dn/dT = 2.26e-06 K⁻¹ at 1310 nm, dn/dT = 2.20e-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-BAF4 (HIKARI), J-BAF4: n and k versus wavelength
λ (µm)nk
0.3650151.6426912.069454e-06
0.3666011.642081.800327e-06
0.3681931.6414791.530031e-06
0.3697931.6408871.258561e-06
0.371.6408111.223400e-06
0.3713991.6403031.125985e-06
0.3730131.6397281.013662e-06
0.3746331.6391619.008509e-07
0.3762611.6386027.875496e-07
0.3778951.638056.737562e-07
0.3795371.6375065.594683e-07
0.381.6373555.272300e-07
0.3811861.636974.970025e-07
0.3828421.6364414.547872e-07
0.3845051.6359194.123884e-07
0.3861751.6354053.698054e-07
0.3878531.6348973.270374e-07
0.3895381.6343962.840837e-07
0.391.634262.723000e-07
0.391231.6339012.588892e-07
0.392931.6334132.403585e-07
0.3946371.6329312.217473e-07
0.3963511.6324552.030553e-07
0.3980731.6319861.842821e-07
0.3998021.6315221.654273e-07
0.41.631471.632700e-07
0.4015391.6310651.577459e-07
0.4032831.6306131.514846e-07
0.4050351.6301661.451960e-07
0.4067951.6297261.388801e-07
0.4085621.629291.325368e-07
0.4103371.628861.261659e-07
0.412121.6284351.197674e-07
0.413911.6280161.133410e-07
0.4157081.6276011.068868e-07
0.4175141.6271921.004044e-07
0.4193281.6267879.389398e-08
0.421.6266389.148100e-08
0.4211491.6263879.069997e-08
0.4229791.6259928.945678e-08
0.4248171.6256018.820818e-08
0.4266621.6252158.695417e-08
0.4285161.6248338.569470e-08
0.4303771.6244568.442976e-08
0.4322471.6240848.315933e-08
0.4341251.6237158.188338e-08
0.436011.6233518.060188e-08
0.4379051.6229917.931482e-08
0.4398071.6226347.802216e-08
0.441.6225997.789100e-08
0.4417181.6222827.659198e-08
0.4436371.6219347.514070e-08
0.4455641.621597.368311e-08
0.4474991.6212497.221919e-08
0.4494431.6209137.074891e-08
0.4513961.620586.927225e-08
0.4533571.620256.778917e-08
0.4553261.6199256.629964e-08
0.4573041.6196026.480365e-08
0.4592911.6192846.330115e-08
0.461.6191716.276500e-08
0.4612861.6189696.219187e-08
0.463291.6186576.129901e-08
0.4653031.6183486.040228e-08
0.4673241.6180435.950165e-08
0.4693541.6177415.859711e-08
0.4713931.6174425.768864e-08
0.4734411.6171475.677623e-08
0.4754981.6168545.585984e-08
0.4775641.6165655.493948e-08
0.4796381.6162785.401512e-08
0.481.6162295.385400e-08
0.4817221.6159955.300642e-08
0.4838151.6157145.197638e-08
0.4859171.6154375.094187e-08
0.4880271.6151624.990287e-08
0.4901481.614894.885936e-08
0.4922771.6146214.781131e-08
0.4944151.6143554.675870e-08
0.4965631.6140914.570153e-08
0.4987211.613834.463976e-08
0.51.6136774.401000e-08
0.5008871.6135724.385290e-08
0.5030631.6133164.346753e-08
0.5052481.6130634.308050e-08
0.5074431.6128124.269178e-08
0.5096481.6125644.230137e-08
0.5118621.6123184.190926e-08
0.5140861.6120754.151545e-08
0.5163191.6118344.111994e-08
0.5185621.6115964.072270e-08
0.5208151.611364.032374e-08
0.5230771.6111263.992304e-08
0.5253491.6108943.952060e-08
0.5276321.6106653.911642e-08
0.5299241.6104383.871048e-08
0.5322261.6102133.830277e-08
0.5345381.6099913.789330e-08
0.536861.609773.748204e-08
0.5391931.6095523.706900e-08
0.5415351.6093353.665417e-08
0.5438871.6091213.623753e-08
0.546251.6089093.581908e-08
0.5486231.6086983.539882e-08
0.551.6085783.515500e-08
0.5510071.608493.512249e-08
0.55341.6082843.504517e-08
0.5558041.6080793.496752e-08
0.5582191.6078773.488953e-08
0.5606441.6076763.481120e-08
0.563081.6074783.473253e-08
0.5655261.6072813.465352e-08
0.5679821.6070853.457417e-08
0.570451.6068923.449447e-08
0.5729281.6067013.441442e-08
0.5754171.6065113.433403e-08
0.5779171.6063233.425329e-08
0.5804271.6061363.417219e-08
0.5829491.6059523.409075e-08
0.5854811.6057693.400895e-08
0.5880251.6055873.392680e-08
0.5905791.6054073.384429e-08
0.5931451.6052293.376142e-08
0.5957221.6050533.367819e-08
0.598311.6048783.359460e-08
0.61.6047643.354000e-08
0.6009091.6047043.368555e-08
0.6035191.6045323.410359e-08
0.6061411.6043623.452345e-08
0.6087741.6041933.494514e-08
0.6114191.6040253.536865e-08
0.6140751.6038593.579401e-08
0.6167431.6036943.622121e-08
0.6194221.6035313.665027e-08
0.6221131.6033693.708119e-08
0.6248161.6032093.751399e-08
0.627531.603053.794866e-08
0.6302561.6028923.838523e-08
0.6329941.6027353.882369e-08
0.6357441.602583.926405e-08
0.6385061.6024263.970633e-08
0.641281.6022744.015053e-08
0.6440661.6021224.059666e-08
0.6468641.6019724.104473e-08
0.6496741.6018234.149474e-08
0.651.6018064.154700e-08
0.6524961.6016764.170654e-08
0.6553311.6015294.188773e-08
0.6581781.6013844.206971e-08
0.6610371.601244.225247e-08
0.6639081.6010974.243603e-08
0.6667931.6009564.262039e-08
0.6696891.6008154.280554e-08
0.6725991.6006754.299151e-08
0.6755211.6005374.317827e-08
0.6784551.60044.336586e-08
0.6814031.6002634.355425e-08
0.6843631.6001284.374347e-08
0.6873361.5999944.393350e-08
0.6903221.5998614.412436e-08
0.6933211.5997294.431605e-08
0.6963331.5995984.450858e-08
0.6993581.5994684.470194e-08
0.71.599444.474300e-08
0.7023961.5993384.535807e-08
0.7054471.599214.614145e-08
0.7085121.5990834.692823e-08
0.711591.5989574.771843e-08
0.7146811.5988324.851206e-08
0.7177861.5987074.930914e-08
0.7209041.5985845.010968e-08
0.7240361.5984615.091371e-08
0.7271811.5983395.172122e-08
0.730341.5982185.253224e-08
0.7335131.5980985.334679e-08
0.73671.5979795.416487e-08
0.73991.5978615.498651e-08
0.7431141.5977445.581171e-08
0.7463421.5976275.664050e-08
0.7495851.5975115.747290e-08
0.7528411.5973965.830891e-08
0.7561121.5972825.914855e-08
0.7593961.5971685.999183e-08
0.7626951.5970566.083878e-08
0.7660091.5969446.168941e-08
0.7693361.5968326.254374e-08
0.7726791.5967226.340178e-08
0.7760351.5966126.426354e-08
0.7794071.5965036.512905e-08
0.7827931.5963956.599832e-08
0.7861931.5962876.687136e-08
0.7896091.596186.774820e-08
0.7930391.5960746.862885e-08
0.7964841.5959686.951332e-08
0.7999441.5958637.040164e-08
0.81.5958627.041600e-08
0.8034191.5957596.898982e-08
0.8069091.5956556.753401e-08
0.8104151.5955526.607187e-08
0.8139351.595456.460338e-08
0.8174711.5953486.312851e-08
0.8210231.5952476.164723e-08
0.8245891.5951466.015952e-08
0.8281721.5950465.866534e-08
0.8317691.5949475.716468e-08
0.8353831.5948485.565749e-08
0.8390121.5947495.414376e-08
0.8426571.5946525.262345e-08
0.8463171.5945545.109653e-08
0.8499941.5944584.956299e-08
0.8536871.5943614.802278e-08
0.8573951.5942664.647588e-08
0.861121.5941714.492226e-08
0.8648611.5940764.336189e-08
0.8686181.5939824.179474e-08
0.8723911.5938884.022078e-08
0.8761811.5937953.863999e-08
0.8799881.5937023.705233e-08
0.8838111.593613.545777e-08
0.887651.5935183.385628e-08
0.8915061.5934263.224784e-08
0.8953791.5933353.063241e-08
0.8992691.5932452.900996e-08
0.91.5932282.870500e-08
0.9031751.5931552.906015e-08
0.9070991.5930652.949896e-08
0.911041.5929752.993969e-08
0.9149981.5928873.038232e-08
0.9189721.5927983.082688e-08
0.9229651.592713.127337e-08
0.9269741.5926223.172181e-08
0.9310011.5925353.217218e-08
0.9350461.5924473.262452e-08
0.9391081.5923613.307882e-08
0.9431881.5922743.353509e-08
0.9472851.5921883.399335e-08
0.95141.5921033.445360e-08
0.9555331.5920173.491584e-08
0.9596841.5919323.538010e-08
0.9638531.5918473.584637e-08
0.9680411.5917633.631467e-08
0.9722461.5916793.678500e-08
0.976471.5915953.725737e-08
0.9807121.5915113.773180e-08
0.9849721.5914283.820829e-08
0.9892511.5913453.868685e-08
0.9935491.5912623.916748e-08
0.9978651.591183.965021e-08
11.5911393.988900e-08
1.00221.5910973.976583e-08
1.006551.5910153.952206e-08
1.010931.5909333.927724e-08
1.015321.5908523.903134e-08
1.019731.590773.878438e-08
1.024161.5906893.853635e-08
1.028611.5906083.828724e-08
1.033081.5905283.803705e-08
1.037561.5904473.778577e-08
1.042071.5903673.753340e-08
1.04661.5902863.727993e-08
1.051151.5902063.702537e-08
1.055711.5901263.676969e-08
1.06031.5900473.651291e-08
1.06491.5899673.625501e-08
1.069531.5898883.599599e-08
1.074181.5898093.573584e-08
1.078841.5897293.547456e-08
1.083531.589653.521215e-08
1.088241.5895713.494860e-08
1.092961.5894933.468391e-08
1.097711.5894143.441806e-08
1.102481.5893353.415106e-08
1.107271.5892573.388290e-08
1.112081.5891793.361357e-08
1.116911.58913.334308e-08
1.121761.5890223.307141e-08
1.126641.5889443.279856e-08
1.131531.5888663.252452e-08
1.136451.5887883.224929e-08
1.141381.588713.197287e-08
1.146341.5886323.169525e-08
1.151321.5885543.141642e-08
1.156321.5884763.113638e-08
1.161351.5883983.085512e-08
1.166391.588323.057264e-08
1.171461.5882433.028894e-08
1.176551.5881653.000400e-08
1.181661.5880872.971782e-08
1.186791.5880092.943040e-08
1.191951.5879312.914173e-08
1.197131.5878532.885181e-08
1.21.587812.869100e-08
1.202331.5877763.071291e-08
1.207551.5876983.524844e-08
1.21281.587623.980368e-08
1.218071.5875424.437871e-08
1.223361.5874644.897362e-08
1.228671.5873855.358848e-08
1.234011.5873075.822339e-08
1.239371.5872296.287844e-08
1.244751.5871516.755371e-08
1.250161.5870727.224929e-08
1.255591.5869947.696527e-08
1.261051.5869158.170174e-08
1.266531.5868368.645879e-08
1.272031.5867589.123650e-08
1.277551.5866799.603496e-08
1.28311.58661.008543e-07
1.288681.5865211.056945e-07
1.294281.5864411.105558e-07
1.29991.5863621.154382e-07
1.305551.5862821.203418e-07
1.311221.5862021.252667e-07
1.316911.5861221.302130e-07
1.322641.5860421.351808e-07
1.328381.5859621.401701e-07
1.334151.5858821.451812e-07
1.339951.5858011.502140e-07
1.345771.585721.552687e-07
1.351621.5856391.603453e-07
1.357491.5855581.654440e-07
1.363381.5854761.705648e-07
1.369311.5853951.757079e-07
1.375261.5853131.808734e-07
1.381231.585231.860612e-07
1.387231.5851481.912716e-07
1.393261.5850651.965047e-07
1.399311.5849832.017605e-07
1.41.5849732.023600e-07
1.405391.5848992.003555e-07
1.411491.5848161.980843e-07
1.417631.5847321.958032e-07
1.423781.5846481.935123e-07
1.429971.5845641.912114e-07
1.436181.5844791.889005e-07
1.442421.5843941.865795e-07
1.448691.5843091.842485e-07
1.454981.5842231.819073e-07
1.46131.5841381.795560e-07
1.467651.5840511.771945e-07
1.474031.5839651.748227e-07
1.480431.5838781.724405e-07
1.486861.5837911.700481e-07
1.493321.5837031.676452e-07
1.499811.5836151.652320e-07
1.506321.5835271.628082e-07
1.512871.5834381.603739e-07
1.519441.5833491.579290e-07
1.526041.5832591.554735e-07
1.532671.5831691.530074e-07
1.539331.5830791.505305e-07
1.546011.5829881.480428e-07
1.552731.5828961.455444e-07
1.559481.5828051.430351e-07
1.566251.5827131.405149e-07
1.573051.582621.379838e-07
1.579891.5825271.354416e-07
1.586751.5824331.328884e-07
1.593641.5823391.303242e-07
1.61.5822521.279600e-07
1.600571.5822451.283355e-07
1.607521.582151.329322e-07
1.61451.5820541.375490e-07
1.621521.5819581.421858e-07
1.628561.5818611.468428e-07
1.635641.5817641.515200e-07
1.642741.5816661.562175e-07
1.649881.5815681.609354e-07
1.657051.5814691.656738e-07
1.664251.581371.704328e-07
1.671481.581271.752124e-07
1.678741.581171.800129e-07
1.686031.5810681.848342e-07
1.693351.5809671.896764e-07
1.700711.5808641.945397e-07
1.70811.5807611.994241e-07
1.715521.5806582.043297e-07
1.722971.5805532.092566e-07
1.730461.5804492.142049e-07
1.737971.5803432.191748e-07
1.745521.5802372.241662e-07
1.753111.580132.291793e-07
1.760721.5800222.342141e-07
1.768371.5799142.392709e-07
1.776051.5798052.443496e-07
1.783771.5796952.494504e-07
1.791521.5795852.545733e-07
1.79931.5794732.597185e-07
1.81.5794632.601800e-07
1.807121.5793622.675901e-07
1.814971.5792492.757621e-07
1.822851.5791352.839696e-07
1.830771.5790212.922128e-07
1.838731.5789063.004918e-07
1.846711.578793.088067e-07
1.854741.5786733.171578e-07
1.862791.5785563.255452e-07
1.870891.5784383.339690e-07
1.879011.5783183.424294e-07
1.887181.5781983.509265e-07
1.895371.5780773.594606e-07
1.903611.5779563.680317e-07
1.911881.5778333.766401e-07
1.920181.5777093.852858e-07
1.928531.5775853.939692e-07
1.93691.5774594.026902e-07
1.945321.5773334.114491e-07
1.953771.5772064.202461e-07
1.962261.5770774.290813e-07
1.970781.5769484.379549e-07
1.979341.5768184.468670e-07
1.987941.5766864.558179e-07
1.996581.5765544.648076e-07
21.5765024.683700e-07
2.005251.5764215.039934e-07
2.013961.5762865.630876e-07
2.022711.5761516.224387e-07
2.03151.5760156.820475e-07
2.040321.5758777.419153e-07
2.049191.5757388.020431e-07
2.058091.5755998.624322e-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
—