Optical constants

Refractive index of J-BAK1 (HIKARI)

J-BAK1: 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
1.5725
Extinction coefficient k
2.59584e-08
Permittivity ε1
2.47275
Permittivity ε2
8.16390e-08
Absorption coefficient α
0.00555144 cm⁻¹
Penetration depth δ = λ/(2πk)
3.60267e+09 nm
Abbe number Vd
57.291
Chromatic dispersion dn/dλ
-0.0515253 µm⁻¹
Group index ng
1.60277
Group velocity dispersion
91.396 fs²/mm
Dispersion parameter D
-498.614 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-BAK1 (HIKARI): J-BAK1
hikari_j_bak1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-BAK1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_bak1.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_bak1.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=2.43258691−0.00822086723⁢λ2.0−9.21764324×10-5⁢λ4.0+0.0143187501⁢λ−2.0+0.000159799832⁢λ−4.0+8.58344462×10-6⁢λ−6.0−1.00538104×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.43258691
C2-0.00822086723
C32.0
C4-9.21764324e-05
C54.0
C60.0143187501
C7-2.0
C80.000159799832
C9-4.0
C108.58344462e-06
C11-6.0
C12-1.00538104e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.5631e-06 2.1447e-08 -8.7901e-13 5.3404e-07 3.4943e-10 0.18343
nd
1.572500
Vd
57.291343
density
value: 3170
thermal expansion
value: 7.3e-06, temperature range: 243 343
dPgF
-0.0011
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.41e-06 K⁻¹ at 633 nm, dn/dT = 8.61e-07 K⁻¹ at 1310 nm, dn/dT = 8.16e-07 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-BAK1 (HIKARI), J-BAK1: n and k versus wavelength
λ (µm)nk
0.3650151.597277.050876e-08
0.3666011.5969026.509229e-08
0.3681931.5965385.965229e-08
0.3697931.5961785.418866e-08
0.371.5961325.348100e-08
0.3713991.5958225.239263e-08
0.3730131.595475.113769e-08
0.3746331.5951214.987730e-08
0.3762611.5947764.861144e-08
0.3778951.5944344.734007e-08
0.3795371.5940964.606318e-08
0.381.5940024.570300e-08
0.3811861.5937624.398229e-08
0.3828421.593434.157916e-08
0.3845051.5931033.916559e-08
0.3861751.5927783.674154e-08
0.3878531.5924573.430695e-08
0.3895381.592143.186179e-08
0.391.5920533.119100e-08
0.391231.5918253.010478e-08
0.392931.5915142.860387e-08
0.3946371.5912062.709643e-08
0.3963511.5909012.558245e-08
0.3980731.5905992.406189e-08
0.3998021.59032.253473e-08
0.41.5902662.236000e-08
0.4015391.5900042.244603e-08
0.4032831.5897112.254354e-08
0.4050351.5894212.264147e-08
0.4067951.5891342.273983e-08
0.4085621.588852.283862e-08
0.4103371.5885682.293784e-08
0.412121.588292.303748e-08
0.413911.5880142.313756e-08
0.4157081.5877412.323808e-08
0.4175141.5874712.333903e-08
0.4193281.5872032.344042e-08
0.421.5871052.347800e-08
0.4211491.5869382.394794e-08
0.4229791.5866752.469596e-08
0.4248171.5864162.544723e-08
0.4266621.5861582.620176e-08
0.4285161.5859032.695957e-08
0.4303771.5856512.772068e-08
0.4322471.5854012.848509e-08
0.4341251.5851542.925282e-08
0.436011.5849093.002388e-08
0.4379051.5846663.079830e-08
0.4398071.5844253.157608e-08
0.441.5844013.165500e-08
0.4417181.5841873.146151e-08
0.4436371.5839523.124535e-08
0.4455641.5837183.102824e-08
0.4474991.5834873.081019e-08
0.4494431.5832583.059119e-08
0.4513961.5830313.037125e-08
0.4533571.5828063.015034e-08
0.4553261.5825832.992848e-08
0.4573041.5823632.970565e-08
0.4592911.5821452.948186e-08
0.461.5820672.940200e-08
0.4612861.5819282.923670e-08
0.463291.5817142.897920e-08
0.4653031.5815022.872057e-08
0.4673241.5812912.846083e-08
0.4693541.5810832.819995e-08
0.4713931.5808762.793794e-08
0.4734411.5806722.767479e-08
0.4754981.5804692.741050e-08
0.4775641.5802692.714506e-08
0.4796381.580072.687847e-08
0.481.5800352.683200e-08
0.4817221.5798732.658342e-08
0.4838151.5796772.628134e-08
0.4859171.5794842.597795e-08
0.4880271.5792922.567323e-08
0.4901481.5791032.536720e-08
0.4922771.5789142.505983e-08
0.4944151.5787282.475113e-08
0.4965631.5785432.444108e-08
0.4987211.578362.412969e-08
0.51.5782532.394500e-08
0.5008871.5781792.383140e-08
0.5030631.5779992.355275e-08
0.5052481.5778212.327288e-08
0.5074431.5776442.299180e-08
0.5096481.5774692.270950e-08
0.5118621.5772962.242597e-08
0.5140861.5771242.214121e-08
0.5163191.5769532.185521e-08
0.5185621.5767852.156797e-08
0.5208151.5766172.127948e-08
0.5230771.5764512.098974e-08
0.5253491.5762872.069874e-08
0.5276321.5761242.040648e-08
0.5299241.5759632.011295e-08
0.5322261.5758021.981814e-08
0.5345381.5756441.952205e-08
0.536861.5754861.922467e-08
0.5391931.575331.892600e-08
0.5415351.5751761.862604e-08
0.5438871.5750231.832477e-08
0.546251.5748711.802219e-08
0.5486231.574721.771830e-08
0.551.5746341.754200e-08
0.5510071.5745711.776732e-08
0.55341.5744231.830313e-08
0.5558041.5742761.884126e-08
0.5582191.574131.938173e-08
0.5606441.5739861.992455e-08
0.563081.5738432.046973e-08
0.5655261.5737012.101728e-08
0.5679821.573562.156720e-08
0.570451.5734212.211952e-08
0.5729281.5732822.267423e-08
0.5754171.5731452.323135e-08
0.5779171.5730092.379090e-08
0.5804271.5728742.435287e-08
0.5829491.572742.491728e-08
0.5854811.5726082.548415e-08
0.5880251.5724762.605348e-08
0.5905791.5723462.662529e-08
0.5931451.5722162.719957e-08
0.5957221.5720882.777635e-08
0.598311.571962.835564e-08
0.61.5718782.873400e-08
0.6009091.5718342.887217e-08
0.6035191.5717092.926902e-08
0.6061411.5715852.966759e-08
0.6087741.5714613.006789e-08
0.6114191.5713393.046993e-08
0.6140751.5712183.087372e-08
0.6167431.5710973.127926e-08
0.6194221.5709783.168656e-08
0.6221131.5708593.209564e-08
0.6248161.5707423.250649e-08
0.627531.5706253.291912e-08
0.6302561.5705093.333355e-08
0.6329941.5703953.374978e-08
0.6357441.5702813.416781e-08
0.6385061.5701683.458766e-08
0.641281.5700553.500934e-08
0.6440661.5699443.543285e-08
0.6468641.5698343.585819e-08
0.6496741.5697243.628539e-08
0.651.5697113.633500e-08
0.6524961.5696153.647453e-08
0.6553311.5695073.663298e-08
0.6581781.56943.679212e-08
0.6610371.5692943.695196e-08
0.6639081.5691883.711248e-08
0.6667931.5690833.727371e-08
0.6696891.5689793.743563e-08
0.6725991.5688763.759826e-08
0.6755211.5687733.776160e-08
0.6784551.5686723.792565e-08
0.6814031.5685713.809040e-08
0.6843631.568473.825588e-08
0.6873361.5683713.842207e-08
0.6903221.5682723.858898e-08
0.6933211.5681743.875662e-08
0.6963331.5680763.892499e-08
0.6993581.5679793.909409e-08
0.71.5679593.913000e-08
0.7023961.5678833.957142e-08
0.7054471.5677884.013364e-08
0.7085121.5676934.069830e-08
0.711591.5675994.126541e-08
0.7146811.5675054.183498e-08
0.7177861.5674134.240703e-08
0.7209041.567324.298156e-08
0.7240361.5672294.355859e-08
0.7271811.5671384.413813e-08
0.730341.5670474.472018e-08
0.7335131.5669574.530477e-08
0.73671.5668684.589189e-08
0.73991.566784.648156e-08
0.7431141.5666924.707379e-08
0.7463421.5666044.766860e-08
0.7495851.5665174.826599e-08
0.7528411.5664314.886598e-08
0.7561121.5663454.946857e-08
0.7593961.566265.007378e-08
0.7626951.5661755.068162e-08
0.7660091.5660915.129210e-08
0.7693361.5660075.190524e-08
0.7726791.5659245.252103e-08
0.7760351.5658415.313950e-08
0.7794071.5657595.376066e-08
0.7827931.5656775.438452e-08
0.7861931.5655965.501109e-08
0.7896091.5655155.564037e-08
0.7930391.5654355.627240e-08
0.7964841.5653555.690716e-08
0.7999441.5652755.754469e-08
0.81.5652745.755500e-08
0.8034191.5651965.632283e-08
0.8069091.5651185.506505e-08
0.8104151.565045.380181e-08
0.8139351.5649625.253308e-08
0.8174711.5648855.125883e-08
0.8210231.5648084.997906e-08
0.8245891.5647324.869372e-08
0.8281721.5646564.740280e-08
0.8317691.564584.610627e-08
0.8353831.5645054.480411e-08
0.8390121.564434.349629e-08
0.8426571.5643564.218279e-08
0.8463171.5642824.086359e-08
0.8499941.5642083.953865e-08
0.8536871.5641353.820796e-08
0.8573951.5640623.687148e-08
0.861121.5639893.552920e-08
0.8648611.5639173.418109e-08
0.8686181.5638453.282713e-08
0.8723911.5637733.146728e-08
0.8761811.5637023.010152e-08
0.8799881.5636312.872983e-08
0.8838111.563562.735218e-08
0.887651.563492.596855e-08
0.8915061.563422.457890e-08
0.8953791.563352.318322e-08
0.8992691.563282.178148e-08
0.91.5632672.151800e-08
0.9031751.5632112.210137e-08
0.9070991.5631422.282218e-08
0.911041.5630732.354611e-08
0.9149981.5630052.427320e-08
0.9189721.5629372.500344e-08
0.9229651.5628692.573685e-08
0.9269741.5628012.647345e-08
0.9310011.5627342.721325e-08
0.9350461.5626672.795626e-08
0.9391081.56262.870250e-08
0.9431881.5625332.945198e-08
0.9472851.5624673.020472e-08
0.95141.5624013.096073e-08
0.9555331.5623353.172002e-08
0.9596841.5622693.248261e-08
0.9638531.5622033.324852e-08
0.9680411.5621383.401775e-08
0.9722461.5620723.479032e-08
0.976471.5620073.556625e-08
0.9807121.5619433.634555e-08
0.9849721.5618783.712824e-08
0.9892511.5618133.791432e-08
0.9935491.5617493.870382e-08
0.9978651.5616853.949675e-08
11.5616533.988900e-08
1.00221.5616213.987124e-08
1.006551.5615573.983608e-08
1.010931.5614933.980077e-08
1.015321.561433.976531e-08
1.019731.5613663.972969e-08
1.024161.5613033.969392e-08
1.028611.561243.965799e-08
1.033081.5611763.962191e-08
1.037561.5611143.958567e-08
1.042071.5610513.954927e-08
1.04661.5609883.951271e-08
1.051151.5609253.947600e-08
1.055711.5608633.943913e-08
1.06031.56083.940209e-08
1.06491.5607383.936490e-08
1.069531.5606753.932754e-08
1.074181.5606133.929002e-08
1.078841.5605513.925234e-08
1.083531.5604893.921449e-08
1.088241.5604273.917649e-08
1.092961.5603653.913831e-08
1.097711.5603033.909997e-08
1.102481.5602413.906146e-08
1.107271.5601793.902279e-08
1.112081.5601173.898394e-08
1.116911.5600553.894493e-08
1.121761.5599943.890575e-08
1.126641.5599323.886640e-08
1.131531.559873.882688e-08
1.136451.5598083.878718e-08
1.141381.5597473.874732e-08
1.146341.5596853.870728e-08
1.151321.5596233.866707e-08
1.156321.5595613.862668e-08
1.161351.55953.858611e-08
1.166391.5594383.854537e-08
1.171461.5593763.850446e-08
1.176551.5593143.846336e-08
1.181661.5592523.842209e-08
1.186791.559193.838064e-08
1.191951.5591283.833901e-08
1.197131.5590663.829719e-08
1.21.5590323.827400e-08
1.202331.5590043.926308e-08
1.207551.5589424.148179e-08
1.21281.558884.371014e-08
1.218071.5588184.594817e-08
1.223361.5587554.819592e-08
1.228671.5586935.045344e-08
1.234011.558635.272076e-08
1.239371.5585685.499793e-08
1.244751.5585055.728500e-08
1.250161.5584425.958200e-08
1.255591.5583796.188898e-08
1.261051.5583166.420598e-08
1.266531.5582536.653304e-08
1.272031.558196.887022e-08
1.277551.5581277.121755e-08
1.28311.5580637.357508e-08
1.288681.5579997.594285e-08
1.294281.5579367.832090e-08
1.29991.5578728.070929e-08
1.305551.5578088.310805e-08
1.311221.5577438.551723e-08
1.316911.5576798.793688e-08
1.322641.5576149.036704e-08
1.328381.557559.280775e-08
1.334151.5574859.525907e-08
1.339951.557429.772104e-08
1.345771.5573541.001937e-07
1.351621.5572891.026771e-07
1.357491.5572231.051713e-07
1.363381.5571571.076763e-07
1.369311.5570911.101923e-07
1.375261.5570251.127191e-07
1.381231.5569581.152569e-07
1.387231.5568911.178058e-07
1.393261.5568241.203657e-07
1.399311.5567571.229367e-07
1.41.5567491.232300e-07
1.405391.5566891.233574e-07
1.411491.5566221.235018e-07
1.417631.5565541.236468e-07
1.423781.5564851.237925e-07
1.429971.5564171.239388e-07
1.436181.5563481.240857e-07
1.442421.5562791.242332e-07
1.448691.5562091.243814e-07
1.454981.556141.245303e-07
1.46131.556071.246798e-07
1.467651.5559991.248299e-07
1.474031.5559291.249807e-07
1.480431.5558581.251321e-07
1.486861.5557871.252842e-07
1.493321.5557151.254370e-07
1.499811.5556431.255904e-07
1.506321.5555711.257445e-07
1.512871.5554991.258993e-07
1.519441.5554261.260547e-07
1.526041.5553521.262108e-07
1.532671.5552791.263676e-07
1.539331.5552051.265251e-07
1.546011.555131.266832e-07
1.552731.5550561.268421e-07
1.559481.554981.270016e-07
1.566251.5549051.271618e-07
1.573051.5548291.273227e-07
1.579891.5547531.274844e-07
1.586751.5546761.276467e-07
1.593641.5545991.278097e-07
1.61.5545271.279600e-07
1.600571.5545211.285847e-07
1.607521.5544431.362337e-07
1.61451.5543651.439158e-07
1.621521.5542861.516313e-07
1.628561.5542061.593803e-07
1.635641.5541261.671630e-07
1.642741.5540461.749795e-07
1.649881.5539651.828300e-07
1.657051.5538841.907146e-07
1.664251.5538021.986334e-07
1.671481.553722.065866e-07
1.678741.5536372.145744e-07
1.686031.5535542.225969e-07
1.693351.553472.306542e-07
1.700711.5533862.387465e-07
1.70811.5533012.468740e-07
1.715521.5532162.550368e-07
1.722971.553132.632350e-07
1.730461.5530432.714689e-07
1.737971.5529562.797385e-07
1.745521.5528682.880441e-07
1.753111.552782.963857e-07
1.760721.5526913.047636e-07
1.768371.5526023.131779e-07
1.776051.5525123.216287e-07
1.783771.5524213.301163e-07
1.791521.552333.386407e-07
1.79931.5522383.472021e-07
1.81.552233.479700e-07
1.807121.5521463.557666e-07
1.814971.5520533.643649e-07
1.822851.5519593.730006e-07
1.830771.5518653.816737e-07
1.838731.551773.903846e-07
1.846711.5516743.991333e-07
1.854741.5515774.079200e-07
1.862791.551484.167449e-07
1.870891.5513824.256081e-07
1.879011.5512844.345098e-07
1.887181.5511844.434502e-07
1.895371.5510844.524294e-07
1.903611.5509844.614477e-07
1.911881.5508824.705051e-07
1.920181.550784.796018e-07
1.928531.5506774.887381e-07
1.93691.5505734.979141e-07
1.945321.5504685.071299e-07
1.953771.5503635.163858e-07
1.962261.5502575.256819e-07
1.970781.550155.350183e-07
1.979341.5500425.443954e-07
1.987941.5499335.538131e-07
1.996581.5498245.632718e-07
21.549785.670200e-07
2.005251.5497135.924623e-07
2.013961.5496026.346676e-07
2.022711.549496.770562e-07
2.03151.5493777.196290e-07
2.040321.5492637.623867e-07
2.049191.5491488.053302e-07
2.058091.5490328.484602e-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
—