Optical constants

Refractive index of J-BAF3 (HIKARI)

J-BAF3: 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
1.58267
Extinction coefficient k
2.59584e-08
Permittivity ε1
2.50484
Permittivity ε2
8.21670e-08
Absorption coefficient α
0.00555144 cm⁻¹
Penetration depth δ = λ/(2πk)
3.60267e+09 nm
Abbe number Vd
46.484
Chromatic dispersion dn/dλ
-0.064079 µm⁻¹
Group index ng
1.62032
Group velocity dispersion
118.913 fs²/mm
Dispersion parameter D
-648.733 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-BAF3 (HIKARI): J-BAF3
hikari_j_baf3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-BAF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_baf3.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_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=2.45448839−0.00867148963⁢λ2.0−0.00010471524⁢λ4.0+0.0176039752⁢λ−2.0+0.000154610243⁢λ−4.0+5.59918259×10-5⁢λ−6.0−5.01297284×10-6⁢λ−8.0+3.1755799×10-7⁢λ−10.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.45448839
C2-0.00867148963
C32.0
C4-0.00010471524
C54.0
C60.0176039752
C7-2.0
C80.000154610243
C9-4.0
C105.59918259e-05
C11-6.0
C12-5.01297284e-06
C13-8.0
C143.1755799e-07
C15-10.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -2.8925e-06 1.1917e-08 -1.9592e-12 6.4316e-07 6.544e-10 0.23169
nd
1.582670
Vd
46.484267
density
value: 2740
thermal expansion
value: 8.5e-06, temperature range: 243 343
dPgF
-0.0001
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -4.92e-07 K⁻¹ at 633 nm, dn/dT = -1.16e-06 K⁻¹ at 1310 nm, dn/dT = -1.21e-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-BAF3 (HIKARI), J-BAF3: n and k versus wavelength
λ (µm)nk
0.3650151.6153939.530604e-07
0.3666011.6148718.357622e-07
0.3681931.6143567.179545e-07
0.3697931.6138485.996349e-07
0.371.6137835.843100e-07
0.3713991.6133465.392121e-07
0.3730131.6128514.872124e-07
0.3746331.6123624.349868e-07
0.3762611.611883.825343e-07
0.3778951.6114043.298539e-07
0.3795371.6109342.769447e-07
0.381.6108022.620200e-07
0.3811861.6104692.459737e-07
0.3828421.6100112.235636e-07
0.3845051.6095592.010561e-07
0.3861751.6091121.784509e-07
0.3878531.608671.557475e-07
0.3895381.6082341.329454e-07
0.391.6081161.266900e-07
0.391231.6078041.202172e-07
0.392931.6073781.112732e-07
0.3946371.6069581.022904e-07
0.3963511.6065439.326862e-08
0.3980731.6061328.420760e-08
0.3998021.6057277.510722e-08
0.41.6056817.406600e-08
0.4015391.6053267.121136e-08
0.4032831.6049316.797571e-08
0.4050351.6045396.472600e-08
0.4067951.6041536.146218e-08
0.4085621.6037715.818418e-08
0.4103371.6033935.489194e-08
0.412121.603025.158539e-08
0.413911.6026514.826448e-08
0.4157081.6022864.492915e-08
0.4175141.6019254.157932e-08
0.4193281.6015683.821494e-08
0.421.6014383.696800e-08
0.4211491.6012163.666266e-08
0.4229791.6008673.617663e-08
0.4248171.6005223.568850e-08
0.4266621.6001813.519824e-08
0.4285161.5998443.470585e-08
0.4303771.5995113.421132e-08
0.4322471.5991813.371465e-08
0.4341251.5988553.321582e-08
0.436011.5985323.271482e-08
0.4379051.5982133.221164e-08
0.4398071.5978983.170628e-08
0.441.5978663.165500e-08
0.4417181.5975863.146151e-08
0.4436371.5972773.124535e-08
0.4455641.5969713.102824e-08
0.4474991.5966693.081019e-08
0.4494431.596373.059119e-08
0.4513961.5960743.037125e-08
0.4533571.5957813.015034e-08
0.4553261.5954922.992848e-08
0.4573041.5952052.970565e-08
0.4592911.5949212.948186e-08
0.461.5948212.940200e-08
0.4612861.5946412.898940e-08
0.463291.5943632.834664e-08
0.4653031.5940882.770109e-08
0.4673241.5938162.705273e-08
0.4693541.5935472.640155e-08
0.4713931.593282.574755e-08
0.4734411.5930172.509070e-08
0.4754981.5927562.443100e-08
0.4775641.5924972.376844e-08
0.4796381.5922412.310299e-08
0.481.5921972.298700e-08
0.4817221.5919882.306949e-08
0.4838151.5917382.316973e-08
0.4859171.5914892.327040e-08
0.4880271.5912442.337152e-08
0.4901481.5910012.347307e-08
0.4922771.590762.357506e-08
0.4944151.5905212.367750e-08
0.4965631.5902852.378038e-08
0.4987211.5900522.388371e-08
0.51.5899152.394500e-08
0.5008871.589822.383140e-08
0.5030631.5895912.355275e-08
0.5052481.5893642.327288e-08
0.5074431.589142.299180e-08
0.5096481.5889172.270950e-08
0.5118621.5886972.242597e-08
0.5140861.5884792.214121e-08
0.5163191.5882632.185521e-08
0.5185621.5880492.156797e-08
0.5208151.5878372.127948e-08
0.5230771.5876272.098974e-08
0.5253491.5874192.069874e-08
0.5276321.5872132.040648e-08
0.5299241.5870092.011295e-08
0.5322261.5868071.981814e-08
0.5345381.5866071.952205e-08
0.536861.5864081.922467e-08
0.5391931.5862121.892600e-08
0.5415351.5860171.862604e-08
0.5438871.5858251.832477e-08
0.546251.5856341.802219e-08
0.5486231.5854441.771830e-08
0.551.5853361.754200e-08
0.5510071.5852571.776732e-08
0.55341.5850711.830313e-08
0.5558041.5848871.884126e-08
0.5582191.5847051.938173e-08
0.5606441.5845241.992455e-08
0.563081.5843452.046973e-08
0.5655261.5841682.101728e-08
0.5679821.5839922.156720e-08
0.570451.5838172.211952e-08
0.5729281.5836452.267423e-08
0.5754171.5834742.323135e-08
0.5779171.5833042.379090e-08
0.5804271.5831362.435287e-08
0.5829491.5829692.491728e-08
0.5854811.5828042.548415e-08
0.5880251.582642.605348e-08
0.5905791.5824782.662529e-08
0.5931451.5823172.719957e-08
0.5957221.5821582.777635e-08
0.598311.5822.835564e-08
0.61.5818982.873400e-08
0.6009091.5818432.887217e-08
0.6035191.5816882.926902e-08
0.6061411.5815342.966759e-08
0.6087741.5813813.006789e-08
0.6114191.581233.046993e-08
0.6140751.581083.087372e-08
0.6167431.5809313.127926e-08
0.6194221.5807833.168656e-08
0.6221131.5806373.209564e-08
0.6248161.5804923.250649e-08
0.627531.5803483.291912e-08
0.6302561.5802053.333355e-08
0.6329941.5800643.374978e-08
0.6357441.5799243.416781e-08
0.6385061.5797843.458766e-08
0.641281.5796463.500934e-08
0.6440661.579513.543285e-08
0.6468641.5793743.585819e-08
0.6496741.5792393.628539e-08
0.651.5792243.633500e-08
0.6524961.5791063.647453e-08
0.6553311.5789733.663298e-08
0.6581781.5788423.679212e-08
0.6610371.5787113.695196e-08
0.6639081.5785823.711248e-08
0.6667931.5784533.727371e-08
0.6696891.5783263.743563e-08
0.6725991.57823.759826e-08
0.6755211.5780753.776160e-08
0.6784551.577953.792565e-08
0.6814031.5778273.809040e-08
0.6843631.5777043.825588e-08
0.6873361.5775833.842207e-08
0.6903221.5774623.858898e-08
0.6933211.5773433.875662e-08
0.6963331.5772243.892499e-08
0.6993581.5771063.909409e-08
0.71.5770813.913000e-08
0.7023961.5769893.972540e-08
0.7054471.5768734.048373e-08
0.7085121.5767584.124535e-08
0.711591.5766434.201028e-08
0.7146811.576534.277853e-08
0.7177861.5764174.355012e-08
0.7209041.5763054.432506e-08
0.7240361.5761944.510337e-08
0.7271811.5760844.588506e-08
0.730341.5759744.667015e-08
0.7335131.5758654.745864e-08
0.73671.5757574.825057e-08
0.73991.575654.904593e-08
0.7431141.5755444.984475e-08
0.7463421.5754385.064703e-08
0.7495851.5753335.145281e-08
0.7528411.5752295.226208e-08
0.7561121.5751255.307487e-08
0.7593961.5750225.389119e-08
0.7626951.574925.471106e-08
0.7660091.5748195.553448e-08
0.7693361.5747185.636149e-08
0.7726791.5746185.719209e-08
0.7760351.5745185.802629e-08
0.7794071.5744195.886412e-08
0.7827931.5743215.970559e-08
0.7861931.5742246.055072e-08
0.7896091.5741276.139952e-08
0.7930391.574036.225200e-08
0.7964841.5739356.310819e-08
0.7999441.573846.396809e-08
0.81.5738386.398200e-08
0.8034191.5737456.228458e-08
0.8069091.5736516.055188e-08
0.8104151.5735585.881166e-08
0.8139351.5734655.706388e-08
0.8174711.5733725.530850e-08
0.8210231.5732815.354550e-08
0.8245891.573195.177484e-08
0.8281721.5730994.999649e-08
0.8317691.5730094.821041e-08
0.8353831.5729194.641657e-08
0.8390121.572834.461494e-08
0.8426571.5727414.280549e-08
0.8463171.5726534.098817e-08
0.8499941.5725653.916296e-08
0.8536871.5724783.732982e-08
0.8573951.5723923.548871e-08
0.861121.5723053.363961e-08
0.8648611.572223.178248e-08
0.8686181.5721342.991727e-08
0.8723911.5720492.804397e-08
0.8761811.5719652.616252e-08
0.8799881.5718812.427290e-08
0.8838111.5717972.237508e-08
0.887651.5717142.046901e-08
0.8915061.5716311.855465e-08
0.8953791.5715491.663199e-08
0.8992691.5714671.470096e-08
0.91.5714511.433800e-08
0.9031751.5713851.438859e-08
0.9070991.5713041.445109e-08
0.911041.5712231.451386e-08
0.9149981.5711421.457691e-08
0.9189721.5710621.464023e-08
0.9229651.5709821.470383e-08
0.9269741.5709031.476770e-08
0.9310011.5708241.483185e-08
0.9350461.5707451.489628e-08
0.9391081.5706661.496099e-08
0.9431881.5705881.502598e-08
0.9472851.570511.509125e-08
0.95141.5704331.515681e-08
0.9555331.5703561.522265e-08
0.9596841.5702791.528877e-08
0.9638531.5702021.535519e-08
0.9680411.5701251.542189e-08
0.9722461.5700491.548888e-08
0.976471.5699731.555616e-08
0.9807121.5698981.562374e-08
0.9849721.5698221.569161e-08
0.9892511.5697471.575977e-08
0.9935491.5696721.582823e-08
0.9978651.5695981.589699e-08
11.5695611.593100e-08
1.00221.5695231.586086e-08
1.006551.5694491.572204e-08
1.010931.5693751.558262e-08
1.015321.5693011.544259e-08
1.019731.5692281.530196e-08
1.024161.5691551.516071e-08
1.028611.5690811.501885e-08
1.033081.5690081.487637e-08
1.037561.5689361.473328e-08
1.042071.5688631.458956e-08
1.04661.5687911.444522e-08
1.051151.5687181.430025e-08
1.055711.5686461.415465e-08
1.06031.5685741.400842e-08
1.06491.5685021.386156e-08
1.069531.5684311.371405e-08
1.074181.5683591.356591e-08
1.078841.5682881.341712e-08
1.083531.5682161.326769e-08
1.088241.5681451.311760e-08
1.092961.5680741.296687e-08
1.097711.5680031.281548e-08
1.102481.5679321.266343e-08
1.107271.5678611.251072e-08
1.112081.567791.235735e-08
1.116911.567721.220331e-08
1.121761.5676491.204860e-08
1.126641.5675791.189322e-08
1.131531.5675081.173717e-08
1.136451.5674381.158043e-08
1.141381.5673681.142302e-08
1.146341.5672971.126492e-08
1.151321.5672271.110614e-08
1.156321.5671571.094666e-08
1.161351.5670871.078650e-08
1.166391.5670171.062563e-08
1.171461.5669471.046407e-08
1.176551.5668761.030181e-08
1.181661.5668061.013884e-08
1.186791.5667369.975165e-09
1.191951.5666669.810778e-09
1.197131.5665969.645677e-09
1.21.5665579.554100e-09
1.202331.5665261.048468e-08
1.207551.5664561.257215e-08
1.21281.5663851.466870e-08
1.218071.5663151.677435e-08
1.223361.5662451.888914e-08
1.228671.5661752.101313e-08
1.234011.5661042.314634e-08
1.239371.5660342.528882e-08
1.244751.5659632.744061e-08
1.250161.5658932.960174e-08
1.255591.5658223.177226e-08
1.261051.5657523.395222e-08
1.266531.5656813.614164e-08
1.272031.565613.834057e-08
1.277551.5655394.054906e-08
1.28311.5654684.276714e-08
1.288681.5653974.499485e-08
1.294281.5653254.723225e-08
1.29991.5652544.947936e-08
1.305551.5651825.173624e-08
1.311221.5651115.400292e-08
1.316911.5650395.627945e-08
1.322641.5649675.856586e-08
1.328381.5648956.086221e-08
1.334151.5648236.316854e-08
1.339951.564756.548488e-08
1.345771.5646786.781129e-08
1.351621.5646057.014781e-08
1.357491.5645327.249447e-08
1.363381.5644597.485133e-08
1.369311.5643867.721843e-08
1.375261.5643127.959581e-08
1.381231.5642388.198352e-08
1.387231.5641648.438160e-08
1.393261.564098.679010e-08
1.399311.5640168.920906e-08
1.41.5640078.948500e-08
1.405391.5639419.086836e-08
1.411491.5638669.243575e-08
1.417631.5637919.400995e-08
1.423781.5637169.559099e-08
1.429971.563649.717890e-08
1.436181.5635659.877371e-08
1.442421.5634881.003754e-07
1.448691.5634121.019841e-07
1.454981.5633351.035998e-07
1.46131.5632581.052225e-07
1.467651.5631811.068523e-07
1.474031.5631041.084891e-07
1.480431.5630261.101330e-07
1.486861.5629481.117841e-07
1.493321.5628691.134424e-07
1.499811.562791.151078e-07
1.506321.5627111.167805e-07
1.512871.5626321.184605e-07
1.519441.5625521.201478e-07
1.526041.5624721.218423e-07
1.532671.5623911.235443e-07
1.539331.562311.252536e-07
1.546011.5622291.269704e-07
1.552731.5621481.286946e-07
1.559481.5620661.304264e-07
1.566251.5619831.321656e-07
1.573051.56191.339124e-07
1.579891.5618171.356668e-07
1.586751.5617331.374288e-07
1.593641.5616491.391984e-07
1.61.5615721.408300e-07
1.600571.5615651.417530e-07
1.607521.561481.530530e-07
1.61451.5613951.644022e-07
1.621521.5613091.758006e-07
1.628561.5612221.872486e-07
1.635641.5611361.987463e-07
1.642741.5610482.102939e-07
1.649881.5609612.218918e-07
1.657051.5608732.335400e-07
1.664251.5607842.452388e-07
1.671481.5606952.569884e-07
1.678741.5606052.687891e-07
1.686031.5605152.806410e-07
1.693351.5604242.925444e-07
1.700711.5603333.044996e-07
1.70811.5602413.165066e-07
1.715521.5601483.285659e-07
1.722971.5600553.406775e-07
1.730461.5599623.528417e-07
1.737971.5598683.650588e-07
1.745521.5597733.773289e-07
1.753111.5596783.896524e-07
1.760721.5595824.020294e-07
1.768371.5594854.144602e-07
1.776051.5593884.269449e-07
1.783771.559294.394839e-07
1.791521.5591924.520774e-07
1.79931.5590934.647256e-07
1.81.5590844.658600e-07
1.807121.5589934.807253e-07
1.814971.5588934.971192e-07
1.822851.5587925.135843e-07
1.830771.558695.301210e-07
1.838731.5585885.467295e-07
1.846711.5584855.634101e-07
1.854741.5583815.801632e-07
1.862791.5582765.969891e-07
1.870891.5581716.138881e-07
1.879011.5580656.308605e-07
1.887181.5579586.479066e-07
1.895371.5578516.650268e-07
1.903611.5577426.822213e-07
1.911881.5576336.994906e-07
1.920181.5575237.168348e-07
1.928531.5574137.342545e-07
1.93691.5573017.517498e-07
1.945321.5571897.693211e-07
1.953771.5570767.869687e-07
1.962261.5569628.046930e-07
1.970781.5568478.224943e-07
1.979341.5567318.403729e-07
1.987941.5566158.583292e-07
1.996581.5564978.763635e-07
21.5564518.835100e-07
2.005251.5563799.190746e-07
2.013961.556269.780713e-07
2.022711.5561391.037324e-06
2.03151.5560181.096835e-06
2.040321.5558961.156604e-06
2.049191.5557731.216632e-06
2.058091.5556491.276922e-06

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
—