Optical constants

Refractive index of J-BAF10 (HIKARI)

J-BAF10: 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
1.67003
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.78899
Permittivity ε2
7.82858e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
47.141
Chromatic dispersion dn/dλ
-0.0727552 µm⁻¹
Group index ng
1.71278
Group velocity dispersion
134.984 fs²/mm
Dispersion parameter D
-736.412 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-BAF10 (HIKARI): J-BAF10
hikari_j_baf10 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-BAF10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_baf10.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_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=2.72808119−0.00930210914⁢λ2.0−7.12221204×10-5⁢λ4.0+0.0208031569⁢λ−2.0+0.000457311835⁢λ−4.0−2.96273778×10-6⁢λ−6.0+1.6311403×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.72808119
C2-0.00930210914
C32.0
C4-7.12221204e-05
C54.0
C60.0208031569
C7-2.0
C80.000457311835
C9-4.0
C10-2.96273778e-06
C11-6.0
C121.6311403e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.3684e-06 1.1836e-08 2.5445e-13 7.0944e-07 7.6949e-10 0.20995
nd
1.670030
Vd
47.141079
density
value: 3570
thermal expansion
value: 6.7e-06, temperature range: 243 343
dPgF
-0.0027
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.39e-06 K⁻¹ at 633 nm, dn/dT = 2.50e-06 K⁻¹ at 1310 nm, dn/dT = 2.43e-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-BAF10 (HIKARI), J-BAF10: n and k versus wavelength
λ (µm)nk
0.3650151.7066537.584126e-07
0.3666011.7060826.804623e-07
0.3681931.7055196.021733e-07
0.3697931.7049635.235442e-07
0.371.7048925.133600e-07
0.3713991.7044134.786519e-07
0.3730131.703874.386320e-07
0.3746331.7033343.984382e-07
0.3762611.7028043.580699e-07
0.3778951.702283.175261e-07
0.3795371.7017622.768063e-07
0.381.7016182.653200e-07
0.3811861.7012512.527360e-07
0.3828421.7007452.351613e-07
0.3845051.7002452.175102e-07
0.3861751.6997511.997825e-07
0.3878531.6992631.819778e-07
0.3895381.6987811.640957e-07
0.391.698651.591900e-07
0.391231.6983041.519391e-07
0.392931.6978321.419200e-07
0.3946371.6973661.318573e-07
0.3963511.6969051.217510e-07
0.3980731.696451.116007e-07
0.3998021.6959991.014064e-07
0.41.6959481.002400e-07
0.4015391.6955549.693636e-08
0.4032831.6951139.319179e-08
0.4050351.6946788.943095e-08
0.4067951.6942478.565377e-08
0.4085621.6938218.186019e-08
0.4103371.69347.805012e-08
0.412121.6929837.422350e-08
0.413911.6925717.038026e-08
0.4157081.6921646.652032e-08
0.4175141.6917616.264362e-08
0.4193281.6913625.875007e-08
0.421.6912165.730700e-08
0.4211491.6909685.644287e-08
0.4229791.6905785.506740e-08
0.4248171.6901925.368595e-08
0.4266621.689815.229850e-08
0.4285161.6894325.090503e-08
0.4303771.6890584.950550e-08
0.4322471.6886894.809989e-08
0.4341251.6883234.668817e-08
0.436011.6879614.527032e-08
0.4379051.6876034.384631e-08
0.4398071.6872484.241612e-08
0.441.6872124.227100e-08
0.4417181.6868974.148288e-08
0.4436371.686554.060238e-08
0.4455641.6862073.971806e-08
0.4474991.6858673.882989e-08
0.4494431.6855313.793787e-08
0.4513961.6851983.704197e-08
0.4533571.6848683.614218e-08
0.4553261.6845423.523848e-08
0.4573041.6842193.433086e-08
0.4592911.68393.341929e-08
0.461.6837873.309400e-08
0.4612861.6835833.293880e-08
0.463291.683273.269703e-08
0.4653031.682963.245420e-08
0.4673241.6826543.221032e-08
0.4693541.682353.196538e-08
0.4713931.6820493.171938e-08
0.4734411.6817523.147231e-08
0.4754981.6814573.122416e-08
0.4775641.6811653.097494e-08
0.4796381.6808763.072463e-08
0.481.6808263.068100e-08
0.4817221.680593.010102e-08
0.4838151.6803072.939619e-08
0.4859171.6800272.868831e-08
0.4880271.6797492.797734e-08
0.4901481.6794742.726329e-08
0.4922771.6792022.654614e-08
0.4944151.6789322.582587e-08
0.4965631.6786652.510247e-08
0.4987211.6784012.437593e-08
0.51.6782462.394500e-08
0.5008871.6781392.390941e-08
0.5030631.677882.382211e-08
0.5052481.6776232.373443e-08
0.5074431.6773682.364637e-08
0.5096481.6771172.355793e-08
0.5118621.6768672.346910e-08
0.5140861.676622.337989e-08
0.5163191.6763752.329029e-08
0.5185621.6761332.320030e-08
0.5208151.6758922.310992e-08
0.5230771.6756552.301915e-08
0.5253491.6754192.292798e-08
0.5276321.6751852.283641e-08
0.5299241.6749542.274445e-08
0.5322261.6747252.265209e-08
0.5345381.6744982.255933e-08
0.536861.6742732.246617e-08
0.5391931.674052.237260e-08
0.5415351.673832.227862e-08
0.5438871.6736112.218424e-08
0.546251.6733942.208944e-08
0.5486231.6731792.199423e-08
0.551.6730562.193900e-08
0.5510071.6729672.197914e-08
0.55341.6727562.207460e-08
0.5558041.6725472.217048e-08
0.5582191.672342.226677e-08
0.5606441.6721352.236348e-08
0.563081.6719322.246061e-08
0.5655261.671732.255817e-08
0.5679821.6715312.265614e-08
0.570451.6713332.275454e-08
0.5729281.6711372.285337e-08
0.5754171.6709422.295263e-08
0.5779171.670752.305232e-08
0.5804271.6705592.315244e-08
0.5829491.670372.325300e-08
0.5854811.6701822.335400e-08
0.5880251.6699962.345543e-08
0.5905791.6698122.355731e-08
0.5931451.669632.365962e-08
0.5957221.6694482.376238e-08
0.598311.6692692.386559e-08
0.61.6691532.393300e-08
0.6009091.6690912.406381e-08
0.6035191.6689152.443951e-08
0.6061411.668742.481684e-08
0.6087741.6685672.519582e-08
0.6114191.6683952.557644e-08
0.6140751.6682242.595871e-08
0.6167431.6680552.634264e-08
0.6194221.6678882.672824e-08
0.6221131.6677222.711552e-08
0.6248161.6675572.750448e-08
0.627531.6673942.789513e-08
0.6302561.6672322.828747e-08
0.6329941.6670722.868152e-08
0.6357441.6669122.907728e-08
0.6385061.6667552.947477e-08
0.641281.6665982.987397e-08
0.6440661.6664433.027492e-08
0.6468641.6662893.067760e-08
0.6496741.6661363.108203e-08
0.651.6661183.112900e-08
0.6524961.6659843.124851e-08
0.6553311.6658343.138423e-08
0.6581781.6656853.152054e-08
0.6610371.6655373.165744e-08
0.6639081.6653913.179494e-08
0.6667931.6652453.193303e-08
0.6696891.6651013.207173e-08
0.6725991.6649583.221102e-08
0.6755211.6648163.235092e-08
0.6784551.6646753.249143e-08
0.6814031.6645353.263255e-08
0.6843631.6643973.277429e-08
0.6873361.6642593.291664e-08
0.6903221.6641233.305960e-08
0.6933211.6639873.320319e-08
0.6963331.6638533.334740e-08
0.6993581.663723.349224e-08
0.71.6636913.352300e-08
0.7023961.6635873.440687e-08
0.7054471.6634563.553262e-08
0.7085121.6633263.666325e-08
0.711591.6631963.779879e-08
0.7146811.6630683.893927e-08
0.7177861.6629414.008471e-08
0.7209041.6628144.123511e-08
0.7240361.6626894.239052e-08
0.7271811.6625644.355094e-08
0.730341.6624414.471641e-08
0.7335131.6623184.588694e-08
0.73671.6621964.706256e-08
0.73991.6620754.824328e-08
0.7431141.6619554.942913e-08
0.7463421.6618365.062013e-08
0.7495851.6617175.181631e-08
0.7528411.66165.301768e-08
0.7561121.6614835.422427e-08
0.7593961.6613675.543611e-08
0.7626951.6612525.665321e-08
0.7660091.6611385.787559e-08
0.7693361.6610255.910329e-08
0.7726791.6609126.033632e-08
0.7760351.66086.157470e-08
0.7794071.6606896.281847e-08
0.7827931.6605786.406764e-08
0.7861931.6604696.532223e-08
0.7896091.660366.658228e-08
0.7930391.6602526.784780e-08
0.7964841.6601446.911882e-08
0.7999441.6600377.039536e-08
0.81.6600367.041600e-08
0.8034191.6599316.849859e-08
0.8069091.6598266.654133e-08
0.8104151.6597216.457557e-08
0.8139351.6596176.260127e-08
0.8174711.6595146.061839e-08
0.8210231.6594115.862690e-08
0.8245891.6593095.662676e-08
0.8281721.6592075.461793e-08
0.8317691.6591075.260037e-08
0.8353831.6590065.057405e-08
0.8390121.6589074.853892e-08
0.8426571.6588084.649495e-08
0.8463171.6587094.444211e-08
0.8499941.6586114.238034e-08
0.8536871.6585144.030962e-08
0.8573951.6584173.822991e-08
0.861121.6583213.614115e-08
0.8648611.6582253.404333e-08
0.8686181.658133.193639e-08
0.8723911.6580362.982030e-08
0.8761811.6579422.769501e-08
0.8799881.6578482.556049e-08
0.8838111.6577552.341670e-08
0.887651.6576632.126360e-08
0.8915061.657571.910114e-08
0.8953791.6574791.692929e-08
0.8992691.6573881.474801e-08
0.91.6573711.433800e-08
0.9031751.6572971.514937e-08
0.9070991.6572071.615189e-08
0.911041.6571171.715877e-08
0.9149981.6570281.817002e-08
0.9189721.6569391.918566e-08
0.9229651.6568512.020572e-08
0.9269741.6567632.123020e-08
0.9310011.6566752.225914e-08
0.9350461.6565882.329255e-08
0.9391081.6565012.433044e-08
0.9431881.6564152.537285e-08
0.9472851.6563292.641978e-08
0.95141.6562432.747126e-08
0.9555331.6561582.852731e-08
0.9596841.6560732.958795e-08
0.9638531.6559893.065320e-08
0.9680411.6559053.172307e-08
0.9722461.6558213.279759e-08
0.976471.6557373.387678e-08
0.9807121.6556543.496065e-08
0.9849721.6555713.604924e-08
0.9892511.6554893.714255e-08
0.9935491.6554073.824062e-08
0.9978651.6553253.934345e-08
11.6552853.988900e-08
1.00221.6552433.966054e-08
1.006551.6551623.920837e-08
1.010931.6550813.875425e-08
1.015321.6553.829815e-08
1.019731.654923.784007e-08
1.024161.6548393.737999e-08
1.028611.6547593.691792e-08
1.033081.654683.645385e-08
1.037561.65463.598775e-08
1.042071.6545213.551963e-08
1.04661.6544423.504948e-08
1.051151.6543633.457729e-08
1.055711.6542853.410304e-08
1.06031.6542063.362674e-08
1.06491.6541283.314836e-08
1.069531.654053.266791e-08
1.074181.6539723.218537e-08
1.078841.6538953.170073e-08
1.083531.6538173.121399e-08
1.088241.653743.072513e-08
1.092961.6536633.023415e-08
1.097711.6535862.974104e-08
1.102481.6535092.924578e-08
1.107271.6534332.874838e-08
1.112081.6533562.824881e-08
1.116911.653282.774707e-08
1.121761.6532042.724315e-08
1.126641.6531282.673704e-08
1.131531.6530522.622874e-08
1.136451.6529762.571823e-08
1.141381.65292.520549e-08
1.146341.6528252.469053e-08
1.151321.6527492.417334e-08
1.156321.6526742.365390e-08
1.161351.6525982.313220e-08
1.166391.6525232.260823e-08
1.171461.6524482.208199e-08
1.176551.6523722.155346e-08
1.181661.6522972.102264e-08
1.186791.6522222.048951e-08
1.191951.6521471.995406e-08
1.197131.6520721.941629e-08
1.21.6520311.911800e-08
1.202331.6519971.902519e-08
1.207551.6519221.881699e-08
1.21281.6518471.860789e-08
1.218071.6517721.839788e-08
1.223361.6516971.818696e-08
1.228671.6516221.797512e-08
1.234011.6515471.776236e-08
1.239371.6514721.754868e-08
1.244751.6513981.733407e-08
1.250161.6513231.711853e-08
1.255591.6512481.690205e-08
1.261051.6511721.668463e-08
1.266531.6510971.646626e-08
1.272031.6510221.624695e-08
1.277551.6509471.602668e-08
1.28311.6508721.580546e-08
1.288681.6507961.558328e-08
1.294281.6507211.536013e-08
1.29991.6506461.513601e-08
1.305551.650571.491092e-08
1.311221.6504941.468485e-08
1.316911.6504191.445779e-08
1.322641.6503431.422976e-08
1.328381.6502671.400073e-08
1.334151.6501911.377070e-08
1.339951.6501151.353968e-08
1.345771.6500381.330765e-08
1.351621.6499621.307462e-08
1.357491.6498851.284057e-08
1.363381.6498081.260551e-08
1.369311.6497321.236942e-08
1.375261.6496541.213231e-08
1.381231.6495771.189417e-08
1.387231.64951.165499e-08
1.393261.6494221.141478e-08
1.399311.6493451.117352e-08
1.41.6493361.114600e-08
1.405391.6492671.360110e-08
1.411491.6491881.638281e-08
1.417631.649111.917661e-08
1.423781.6490312.198255e-08
1.429971.6489532.480067e-08
1.436181.6488742.763104e-08
1.442421.6487943.047370e-08
1.448691.6487153.332871e-08
1.454981.6486353.619613e-08
1.46131.6485553.907600e-08
1.467651.6484754.196838e-08
1.474031.6483954.487333e-08
1.480431.6483144.779089e-08
1.486861.6482335.072114e-08
1.493321.6481525.366411e-08
1.499811.648075.661986e-08
1.506321.6479885.958846e-08
1.512871.6479066.256995e-08
1.519441.6478236.556440e-08
1.526041.6477416.857185e-08
1.532671.6476587.159237e-08
1.539331.6475747.462601e-08
1.546011.647497.767283e-08
1.552731.6474068.073289e-08
1.559481.6473228.380624e-08
1.566251.6472378.689294e-08
1.573051.6471528.999305e-08
1.579891.6470669.310663e-08
1.586751.646989.623373e-08
1.593641.6468949.937442e-08
1.61.6468141.022700e-07
1.600571.6468071.026770e-07
1.607521.646721.076600e-07
1.61451.6466321.126647e-07
1.621521.6465441.176912e-07
1.628561.6464561.227394e-07
1.635641.6463671.278096e-07
1.642741.6462781.329018e-07
1.649881.6461881.380162e-07
1.657051.6460981.431527e-07
1.664251.6460081.483116e-07
1.671481.6459171.534929e-07
1.678741.6458251.586967e-07
1.686031.6457331.639231e-07
1.693351.6456411.691722e-07
1.700711.6455481.744441e-07
1.70811.6454541.797389e-07
1.715521.645361.850568e-07
1.722971.6452651.903977e-07
1.730461.645171.957618e-07
1.737971.6450752.011492e-07
1.745521.6449792.065600e-07
1.753111.6448822.119944e-07
1.760721.6447852.174523e-07
1.768371.6446872.229340e-07
1.776051.6445882.284394e-07
1.783771.6444892.339688e-07
1.791521.644392.395222e-07
1.79931.644292.450998e-07
1.81.6442812.456000e-07
1.807121.6441892.523637e-07
1.814971.6440872.598229e-07
1.822851.6439852.673145e-07
1.830771.6438832.748386e-07
1.838731.6437792.823955e-07
1.846711.6436752.899851e-07
1.854741.6435712.976078e-07
1.862791.6434653.052635e-07
1.870891.6433593.129525e-07
1.879011.6432533.206749e-07
1.887181.6431453.284309e-07
1.895371.6430373.362205e-07
1.903611.6429283.440440e-07
1.911881.6428193.519015e-07
1.920181.6427083.597931e-07
1.928531.6425973.677190e-07
1.93691.6424853.756793e-07
1.945321.6423733.836742e-07
1.953771.642263.917039e-07
1.962261.6421453.997684e-07
1.970781.642034.078680e-07
1.979341.6419154.160027e-07
1.987941.6417984.241728e-07
1.996581.6416814.323784e-07
21.6416344.356300e-07
2.005251.6415624.526357e-07
2.013961.6414434.808459e-07
2.022711.6413235.091786e-07
2.03151.6412035.376345e-07
2.040321.6410815.662139e-07
2.049191.6409585.949175e-07
2.058091.6408356.237458e-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
—