Optical constants

Refractive index of J-BAF11 (HIKARI)

J-BAF11: 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
1.66672
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.77795
Permittivity ε2
7.44957e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
48.332
Chromatic dispersion dn/dλ
-0.0706782 µm⁻¹
Group index ng
1.70825
Group velocity dispersion
130.54 fs²/mm
Dispersion parameter D
-712.166 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-BAF11 (HIKARI): J-BAF11
hikari_j_baf11 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-BAF11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_baf11.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_baf11.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=2.71886836−0.00921086428⁢λ2.0−5.97080099×10-5⁢λ4.0+0.0202512558⁢λ−2.0+0.000423467645⁢λ−4.0−1.03717059×10-6⁢λ−6.0+1.22100678×10-6⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.71886836
C2-0.00921086428
C32.0
C4-5.97080099e-05
C54.0
C60.0202512558
C7-2.0
C80.000423467645
C9-4.0
C10-1.03717059e-06
C11-6.0
C121.22100678e-06
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.0058e-06 1.1688e-08 -1.0242e-12 7.0959e-07 7.9601e-10 0.19887
nd
1.666720
Vd
48.331725
density
value: 3590
thermal expansion
value: 6.7e-06, temperature range: 243 343
dPgF
-0.0029
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.17e-06 K⁻¹ at 633 nm, dn/dT = 2.30e-06 K⁻¹ at 1310 nm, dn/dT = 2.23e-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-BAF11 (HIKARI), J-BAF11: n and k versus wavelength
λ (µm)nk
0.3650151.7020366.115561e-07
0.3666011.7014915.582825e-07
0.3681931.7009535.047776e-07
0.3697931.7004214.510402e-07
0.371.7003534.440800e-07
0.3713991.6998964.140148e-07
0.3730131.6993763.793483e-07
0.3746331.6988633.445312e-07
0.3762611.6983553.095628e-07
0.3778951.6978542.744426e-07
0.3795371.6973582.391698e-07
0.381.6972192.292200e-07
0.3811861.6968682.182154e-07
0.3828421.6963832.028464e-07
0.3845051.6959041.874107e-07
0.3861751.6954311.719079e-07
0.3878531.6949621.563378e-07
0.3895381.6944991.407000e-07
0.391.6943741.364100e-07
0.391231.6940411.303479e-07
0.392931.6935891.219714e-07
0.3946371.6931411.135586e-07
0.3963511.6926981.051092e-07
0.3980731.6922619.662311e-08
0.3998021.6918288.810015e-08
0.41.6917798.712500e-08
0.4015391.69148.430783e-08
0.4032831.6909768.111466e-08
0.4050351.6905577.790761e-08
0.4067951.6901437.468663e-08
0.4085621.6897337.145166e-08
0.4103371.6893286.820264e-08
0.412121.6889276.493950e-08
0.413911.688536.166219e-08
0.4157081.6881385.837064e-08
0.4175141.6877495.506479e-08
0.4193281.6873655.174457e-08
0.421.6872245.051400e-08
0.4211491.6869855.004027e-08
0.4229791.6866094.928621e-08
0.4248171.6862374.852888e-08
0.4266621.6858694.776825e-08
0.4285161.6855054.700433e-08
0.4303771.6851444.623708e-08
0.4322471.6847884.546650e-08
0.4341251.6844354.469257e-08
0.436011.6840854.391528e-08
0.4379051.683744.313462e-08
0.4398071.6833974.235056e-08
0.441.6833634.227100e-08
0.4417181.6830594.148288e-08
0.4436371.6827244.060238e-08
0.4455641.6823923.971806e-08
0.4474991.6820643.882989e-08
0.4494431.6817393.793787e-08
0.4513961.6814173.704197e-08
0.4533571.6810993.614218e-08
0.4553261.6807833.523848e-08
0.4573041.6804713.433086e-08
0.4592911.6801633.341929e-08
0.461.6800533.309400e-08
0.4612861.6798573.269124e-08
0.463291.6795543.206381e-08
0.4653031.6792543.143365e-08
0.4673241.6789583.080076e-08
0.4693541.6786643.016511e-08
0.4713931.6783732.952671e-08
0.4734411.6780852.888553e-08
0.4754981.67782.824156e-08
0.4775641.6775172.759480e-08
0.4796381.6772382.694523e-08
0.481.677192.683200e-08
0.4817221.6769612.658342e-08
0.4838151.6766872.628134e-08
0.4859171.6764152.597795e-08
0.4880271.6761472.567323e-08
0.4901481.675882.536720e-08
0.4922771.6756172.505983e-08
0.4944151.6753562.475113e-08
0.4965631.6750972.444108e-08
0.4987211.6748412.412969e-08
0.51.6746912.394500e-08
0.5008871.6745872.383140e-08
0.5030631.6743362.355275e-08
0.5052481.6740872.327288e-08
0.5074431.6738412.299180e-08
0.5096481.6735962.270950e-08
0.5118621.6733552.242597e-08
0.5140861.6731152.214121e-08
0.5163191.6728782.185521e-08
0.5185621.6726432.156797e-08
0.5208151.672412.127948e-08
0.5230771.6721792.098974e-08
0.5253491.671952.069874e-08
0.5276321.6717242.040648e-08
0.5299241.67152.011295e-08
0.5322261.6712771.981814e-08
0.5345381.6710571.952205e-08
0.536861.6708391.922467e-08
0.5391931.6706231.892600e-08
0.5415351.6704091.862604e-08
0.5438871.6701971.832477e-08
0.546251.6699861.802219e-08
0.5486231.6697781.771830e-08
0.551.6696581.754200e-08
0.5510071.6695711.767067e-08
0.55341.6693671.797663e-08
0.5558041.6691641.828392e-08
0.5582191.6689631.859255e-08
0.5606441.6687641.890252e-08
0.563081.6685671.921383e-08
0.5655261.6683711.952650e-08
0.5679821.6681771.984052e-08
0.570451.6679852.015591e-08
0.5729281.6677952.047267e-08
0.5754171.6676062.079081e-08
0.5779171.6674192.111032e-08
0.5804271.6672342.143123e-08
0.5829491.667052.175353e-08
0.5854811.6668682.207723e-08
0.5880251.6666872.240234e-08
0.5905791.6665082.272885e-08
0.5931451.6663312.305679e-08
0.5957221.6661552.338615e-08
0.598311.6659812.371695e-08
0.61.6658682.393300e-08
0.6009091.6658082.406381e-08
0.6035191.6656362.443951e-08
0.6061411.6654672.481684e-08
0.6087741.6652982.519582e-08
0.6114191.6651312.557644e-08
0.6140751.6649652.595871e-08
0.6167431.6648012.634264e-08
0.6194221.6646382.672824e-08
0.6221131.6644772.711552e-08
0.6248161.6643172.750448e-08
0.627531.6641582.789513e-08
0.6302561.6640012.828747e-08
0.6329941.6638452.868152e-08
0.6357441.663692.907728e-08
0.6385061.6635362.947477e-08
0.641281.6633842.987397e-08
0.6440661.6632333.027492e-08
0.6468641.6630833.067760e-08
0.6496741.6629353.108203e-08
0.651.6629183.112900e-08
0.6524961.6627873.152841e-08
0.6553311.6626413.198200e-08
0.6581781.6624963.243756e-08
0.6610371.6623523.289511e-08
0.6639081.662213.335463e-08
0.6667931.6620683.381616e-08
0.6696891.6619283.427969e-08
0.6725991.6617893.474523e-08
0.6755211.661653.521280e-08
0.6784551.6615133.568240e-08
0.6814031.6613773.615404e-08
0.6843631.6612423.662772e-08
0.6873361.6611093.710347e-08
0.6903221.6609763.758128e-08
0.6933211.6608443.806117e-08
0.6963331.6607133.854314e-08
0.6993581.6605833.902720e-08
0.71.6605563.913000e-08
0.7023961.6604544.018829e-08
0.7054471.6603274.153617e-08
0.7085121.66024.288991e-08
0.711591.6600744.424953e-08
0.7146811.6599494.561505e-08
0.7177861.6598254.698651e-08
0.7209041.6597024.836392e-08
0.7240361.6595794.974732e-08
0.7271811.6594585.113673e-08
0.730341.6593385.253218e-08
0.7335131.6592185.393369e-08
0.73671.6590995.534128e-08
0.73991.6589825.675499e-08
0.7431141.6588655.817484e-08
0.7463421.6587485.960086e-08
0.7495851.6586336.103308e-08
0.7528411.6585196.247152e-08
0.7561121.6584056.391620e-08
0.7593961.6582926.536716e-08
0.7626951.658186.682443e-08
0.7660091.6580696.828803e-08
0.7693361.6579586.975798e-08
0.7726791.6578487.123432e-08
0.7760351.6577397.271707e-08
0.7794071.6576317.420627e-08
0.7827931.6575237.570193e-08
0.7861931.6574167.720409e-08
0.7896091.657317.871278e-08
0.7930391.6572048.022802e-08
0.7964841.65718.174985e-08
0.7999441.6569968.327828e-08
0.81.6569948.330300e-08
0.8034191.6568928.119045e-08
0.8069091.6567897.903401e-08
0.8104151.6566877.686819e-08
0.8139351.6565867.469297e-08
0.8174711.6564857.250830e-08
0.8210231.6563857.031414e-08
0.8245891.6562856.811044e-08
0.8281721.6561866.589717e-08
0.8317691.6560886.367429e-08
0.8353831.655996.144175e-08
0.8390121.6558925.919951e-08
0.8426571.6557965.694753e-08
0.8463171.65575.468577e-08
0.8499941.6556045.241418e-08
0.8536871.6555095.013273e-08
0.8573951.6554154.784136e-08
0.861121.6553214.554004e-08
0.8648611.6552284.322872e-08
0.8686181.6551354.090736e-08
0.8723911.6550423.857591e-08
0.8761811.654953.623434e-08
0.8799881.6548593.388260e-08
0.8838111.6547683.152063e-08
0.887651.6546782.914841e-08
0.8915061.6545882.676588e-08
0.8953791.6544992.437301e-08
0.8992691.654412.196973e-08
0.91.6543932.151800e-08
0.9031751.6543212.184752e-08
0.9070991.6542332.225467e-08
0.911041.6541452.266360e-08
0.9149981.6540582.307429e-08
0.9189721.6539712.348678e-08
0.9229651.6538852.390105e-08
0.9269741.6537992.431712e-08
0.9310011.6537132.473500e-08
0.9350461.6536282.515470e-08
0.9391081.6535442.557622e-08
0.9431881.6534592.599957e-08
0.9472851.6533752.642476e-08
0.95141.6532912.685180e-08
0.9555331.6532082.728069e-08
0.9596841.6531252.771145e-08
0.9638531.6530422.814407e-08
0.9680411.652962.857858e-08
0.9722461.6528782.901497e-08
0.976471.6527972.945326e-08
0.9807121.6527152.989346e-08
0.9849721.6526343.033556e-08
0.9892511.6525543.077959e-08
0.9935491.6524733.122554e-08
0.9978651.6523933.167344e-08
11.6523543.189500e-08
1.00221.6523133.175446e-08
1.006551.6522343.147632e-08
1.010931.6521543.119697e-08
1.015321.6520753.091641e-08
1.019731.6519973.063463e-08
1.024161.6519183.035162e-08
1.028611.651843.006738e-08
1.033081.6517622.978191e-08
1.037561.6516842.949520e-08
1.042071.6516062.920724e-08
1.04661.6515292.891804e-08
1.051151.6514522.862757e-08
1.055711.6513752.833585e-08
1.06031.6512982.804285e-08
1.06491.6512222.774859e-08
1.069531.6511452.745304e-08
1.074181.6510692.715621e-08
1.078841.6509932.685810e-08
1.083531.6509182.655868e-08
1.088241.6508422.625797e-08
1.092961.6507662.595595e-08
1.097711.6506912.565262e-08
1.102481.6506162.534797e-08
1.107271.6505412.504200e-08
1.112081.6504662.473469e-08
1.116911.6503912.442606e-08
1.121761.6503162.411608e-08
1.126641.6502422.380475e-08
1.131531.6501672.349208e-08
1.136451.6500932.317804e-08
1.141381.6500192.286264e-08
1.146341.6499452.254587e-08
1.151321.6498712.222772e-08
1.156321.6497972.190819e-08
1.161351.6497232.158728e-08
1.166391.6496492.126497e-08
1.171461.6495752.094126e-08
1.176551.6495012.061614e-08
1.181661.6494272.028961e-08
1.186791.6493541.996166e-08
1.191951.649281.963229e-08
1.197131.6492071.930149e-08
1.21.6491661.911800e-08
1.202331.6491331.928513e-08
1.207551.649061.966002e-08
1.21281.6489862.003654e-08
1.218071.6489132.041470e-08
1.223361.6488392.079451e-08
1.228671.6487652.117596e-08
1.234011.6486922.155907e-08
1.239371.6486182.194384e-08
1.244751.6485452.233028e-08
1.250161.6484712.271841e-08
1.255591.6483982.310822e-08
1.261051.6483242.349972e-08
1.266531.648252.389293e-08
1.272031.6481772.428784e-08
1.277551.6481032.468447e-08
1.28311.6480292.508282e-08
1.288681.6479552.548290e-08
1.294281.6478812.588472e-08
1.29991.6478072.628828e-08
1.305551.6477332.669360e-08
1.311221.6476582.710068e-08
1.316911.6475842.750953e-08
1.322641.6475092.792015e-08
1.328381.6474352.833256e-08
1.334151.647362.874676e-08
1.339951.6472852.916276e-08
1.345771.647212.958056e-08
1.351621.6471353.000018e-08
1.357491.647063.042163e-08
1.363381.6469853.084490e-08
1.369311.6469093.127001e-08
1.375261.6468333.169697e-08
1.381231.6467573.212579e-08
1.387231.6466813.255647e-08
1.393261.6466053.298902e-08
1.399311.6465293.342344e-08
1.41.646523.347300e-08
1.405391.6464523.532656e-08
1.411491.6463753.742670e-08
1.417631.6462983.953597e-08
1.423781.6462214.165440e-08
1.429971.6461444.378203e-08
1.436181.6460664.591891e-08
1.442421.6459884.806507e-08
1.448691.645915.022055e-08
1.454981.6458325.238540e-08
1.46131.6457535.455965e-08
1.467651.6456745.674335e-08
1.474031.6455955.893653e-08
1.480431.6455166.113924e-08
1.486861.6454366.335152e-08
1.493321.6453566.557342e-08
1.499811.6452766.780496e-08
1.506321.6451967.004620e-08
1.512871.6451157.229717e-08
1.519441.6450347.455792e-08
1.526041.6449527.682850e-08
1.532671.6448717.910894e-08
1.539331.6447898.139928e-08
1.546011.6447068.369958e-08
1.552731.6446248.600987e-08
1.559481.644548.833019e-08
1.566251.6444579.066059e-08
1.573051.6443739.300112e-08
1.579891.6442899.535182e-08
1.586751.6442059.771273e-08
1.593641.644121.000839e-07
1.61.6440421.022700e-07
1.600571.6440351.028429e-07
1.607521.6439491.098566e-07
1.61451.6438631.169008e-07
1.621521.6437761.239756e-07
1.628561.6436891.310811e-07
1.635641.6436021.382176e-07
1.642741.6435141.453850e-07
1.649881.6434261.525835e-07
1.657051.6433381.598133e-07
1.664251.6432491.670746e-07
1.671481.6431591.743673e-07
1.678741.6430691.816918e-07
1.686031.6429791.890481e-07
1.693351.6428881.964363e-07
1.700711.6427962.038566e-07
1.70811.6427042.113092e-07
1.715521.6426122.187941e-07
1.722971.6425192.263116e-07
1.730461.6424252.338617e-07
1.737971.6423312.414446e-07
1.745521.6422372.490604e-07
1.753111.6421422.567094e-07
1.760721.6420462.643915e-07
1.768371.641952.721071e-07
1.776051.6418532.798561e-07
1.783771.6417562.876389e-07
1.791521.6416582.954554e-07
1.79931.641563.033059e-07
1.81.6415513.040100e-07
1.807121.6414613.104437e-07
1.814971.6413613.175391e-07
1.822851.6412613.246652e-07
1.830771.641163.318223e-07
1.838731.6410583.390105e-07
1.846711.6409563.462299e-07
1.854741.6408533.534807e-07
1.862791.640753.607630e-07
1.870891.6406453.680769e-07
1.879011.640543.754226e-07
1.887181.6404353.828002e-07
1.895371.6403293.902099e-07
1.903611.6402223.976517e-07
1.911881.6401144.051259e-07
1.920181.6400064.126326e-07
1.928531.6398974.201718e-07
1.93691.6397874.277438e-07
1.945321.6396764.353487e-07
1.953771.6395654.429867e-07
1.962261.6394534.506578e-07
1.970781.639344.583622e-07
1.979341.6392264.661002e-07
1.987941.6391124.738717e-07
1.996581.6389964.816770e-07
21.6389514.847700e-07
2.005251.638885.029352e-07
2.013961.6387635.330689e-07
2.022711.6386455.633334e-07
2.03151.6385275.937294e-07
2.040321.6384076.242575e-07
2.049191.6382876.549181e-07
2.058091.6381666.857120e-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
—