Optical constants

Refractive index of J-LAK06 (HIKARI)

J-LAK06: 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
1.6779
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.81534
Permittivity ε2
7.49954e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
50.669
Chromatic dispersion dn/dλ
-0.0687109 µm⁻¹
Group index ng
1.71827
Group velocity dispersion
124.914 fs²/mm
Dispersion parameter D
-681.47 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-LAK06 (HIKARI): J-LAK06
hikari_j_lak06 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK06", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak06.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak06.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=2.75830673−0.0104979587⁢λ2.0−8.63280601×10-5⁢λ4.0+0.0198026568⁢λ−2.0+0.000388736963⁢λ−4.0−3.98876195×10-7⁢λ−6.0+8.98869177×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.75830673
C2-0.0104979587
C32.0
C4-8.63280601e-05
C54.0
C60.0198026568
C7-2.0
C80.000388736963
C9-4.0
C10-3.98876195e-07
C11-6.0
C128.98869177e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.9447e-06 1.3518e-08 -1.9509e-12 6.8878e-07 8.6935e-10 0.16406
nd
1.677900
Vd
50.668606
glass status
preferred
density
value: 3830
thermal expansion
value: 6.3e-06, temperature range: 243 343
dPgF
-0.0038
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.04e-06 K⁻¹ at 633 nm, dn/dT = 1.24e-06 K⁻¹ at 1310 nm, dn/dT = 1.17e-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-LAK06 (HIKARI), J-LAK06: n and k versus wavelength
λ (µm)nk
0.3650151.7117586.840516e-07
0.3666011.7112436.186727e-07
0.3681931.7107335.530098e-07
0.3697931.710234.870617e-07
0.371.7101654.785200e-07
0.3713991.7097314.500751e-07
0.3730131.7092394.172770e-07
0.3746331.7087523.843364e-07
0.3762611.7082713.512527e-07
0.3778951.7077943.180253e-07
0.3795371.7073242.846535e-07
0.381.7071922.752400e-07
0.3811861.7068582.618675e-07
0.3828421.7063972.431916e-07
0.3845051.7059422.244345e-07
0.3861751.7054922.055960e-07
0.3878531.7050461.866756e-07
0.3895381.7046061.676731e-07
0.391.7044861.624600e-07
0.391231.704171.556150e-07
0.392931.7037391.461567e-07
0.3946371.7033121.366574e-07
0.3963511.7028911.271168e-07
0.3980731.7024731.175348e-07
0.3998021.7020611.079111e-07
0.41.7020141.068100e-07
0.4015391.7016521.032626e-07
0.4032831.7012489.924171e-08
0.4050351.7008489.520336e-08
0.4067951.7004539.114746e-08
0.4085621.7000618.707395e-08
0.4103371.6996748.298274e-08
0.412121.6992917.887376e-08
0.413911.6989127.474693e-08
0.4157081.6985377.060217e-08
0.4175141.6981666.643940e-08
0.4193281.6977986.225855e-08
0.421.6976636.070900e-08
0.4211491.6974345.985315e-08
0.4229791.6970755.849085e-08
0.4248171.6967185.712263e-08
0.4266621.6963665.574847e-08
0.4285161.6960175.436834e-08
0.4303771.6956725.298221e-08
0.4322471.695335.159006e-08
0.4341251.6949925.019187e-08
0.436011.6946574.878760e-08
0.4379051.6943254.737723e-08
0.4398071.6939974.596073e-08
0.441.6939644.581700e-08
0.4417181.6936724.535943e-08
0.4436371.6933514.484823e-08
0.4455641.6930324.433481e-08
0.4474991.6927174.381916e-08
0.4494431.6924054.330126e-08
0.4513961.6920964.278112e-08
0.4533571.691794.225872e-08
0.4553261.6914874.173405e-08
0.4573041.6911874.120710e-08
0.4592911.690894.067786e-08
0.461.6907854.048900e-08
0.4612861.6905963.985817e-08
0.463291.6903053.887544e-08
0.4653031.6900173.788844e-08
0.4673241.6897313.689716e-08
0.4693541.6894493.590156e-08
0.4713931.6891693.490164e-08
0.4734411.6888913.389738e-08
0.4754981.6886173.288876e-08
0.4775641.6883453.187575e-08
0.4796381.6880763.085834e-08
0.481.6880293.068100e-08
0.4817221.6878093.010102e-08
0.4838151.6875452.939619e-08
0.4859171.6872832.868831e-08
0.4880271.6870242.797734e-08
0.4901481.6867672.726329e-08
0.4922771.6865132.654614e-08
0.4944151.6862612.582587e-08
0.4965631.6860112.510247e-08
0.4987211.6857642.437593e-08
0.51.6856192.394500e-08
0.5008871.6855192.383140e-08
0.5030631.6852772.355275e-08
0.5052481.6850362.327288e-08
0.5074431.6847982.299180e-08
0.5096481.6845632.270950e-08
0.5118621.6843292.242597e-08
0.5140861.6840972.214121e-08
0.5163191.6838682.185521e-08
0.5185621.6836412.156797e-08
0.5208151.6834162.127948e-08
0.5230771.6831932.098974e-08
0.5253491.6829712.069874e-08
0.5276321.6827522.040648e-08
0.5299241.6825352.011295e-08
0.5322261.682321.981814e-08
0.5345381.6821071.952205e-08
0.536861.6818961.922467e-08
0.5391931.6816871.892600e-08
0.5415351.6814791.862604e-08
0.5438871.6812741.832477e-08
0.546251.681071.802219e-08
0.5486231.6808681.771830e-08
0.551.6807521.754200e-08
0.5510071.6806681.767067e-08
0.55341.680471.797663e-08
0.5558041.6802731.828392e-08
0.5582191.6800781.859255e-08
0.5606441.6798851.890252e-08
0.563081.6796941.921383e-08
0.5655261.6795041.952650e-08
0.5679821.6793161.984052e-08
0.570451.6791292.015591e-08
0.5729281.6789442.047267e-08
0.5754171.6787612.079081e-08
0.5779171.6785792.111032e-08
0.5804271.6783992.143123e-08
0.5829491.6782212.175353e-08
0.5854811.6780442.207723e-08
0.5880251.6778682.240234e-08
0.5905791.6776942.272885e-08
0.5931451.6775222.305679e-08
0.5957221.6773512.338615e-08
0.598311.6771812.371695e-08
0.61.6770712.393300e-08
0.6009091.6770132.396926e-08
0.6035191.6768462.407342e-08
0.6061411.6766812.417803e-08
0.6087741.6765162.428310e-08
0.6114191.6763542.438862e-08
0.6140751.6761922.449460e-08
0.6167431.6760322.460104e-08
0.6194221.6758742.470795e-08
0.6221131.6757162.481531e-08
0.6248161.675562.492315e-08
0.627531.6754062.503145e-08
0.6302561.6752522.514022e-08
0.6329941.67512.524947e-08
0.6357441.6749492.535919e-08
0.6385061.6747992.546938e-08
0.641281.674652.558006e-08
0.6440661.6745032.569122e-08
0.6468641.6743562.580286e-08
0.6496741.6742112.591498e-08
0.651.6741942.592800e-08
0.6524961.6740672.602754e-08
0.6553311.6739242.614058e-08
0.6581781.6737822.625412e-08
0.6610371.6736422.636815e-08
0.6639081.6735022.648267e-08
0.6667931.6733642.659769e-08
0.6696891.6732262.671321e-08
0.6725991.673092.682923e-08
0.6755211.6729552.694576e-08
0.6784551.672822.706279e-08
0.6814031.6726872.718033e-08
0.6843631.6725552.729839e-08
0.6873361.6724242.741695e-08
0.6903221.6722932.753603e-08
0.6933211.6721642.765563e-08
0.6963331.6720362.777574e-08
0.6993581.6719082.789638e-08
0.71.6718812.792200e-08
0.7023961.6717822.863194e-08
0.7054471.6716562.953615e-08
0.7085121.6715313.044430e-08
0.711591.6714083.135638e-08
0.7146811.6712853.227243e-08
0.7177861.6711633.319246e-08
0.7209041.6710423.411648e-08
0.7240361.6709213.504452e-08
0.7271811.6708023.597659e-08
0.730341.6706833.691271e-08
0.7335131.6705663.785290e-08
0.73671.6704493.879717e-08
0.73991.6703333.974554e-08
0.7431141.6702174.069804e-08
0.7463421.6701034.165467e-08
0.7495851.6699894.261545e-08
0.7528411.6698764.358041e-08
0.7561121.6697644.454957e-08
0.7593961.6696524.552293e-08
0.7626951.6695414.650052e-08
0.7660091.6694314.748236e-08
0.7693361.6693224.846846e-08
0.7726791.6692134.945885e-08
0.7760351.6691055.045354e-08
0.7794071.6689985.145255e-08
0.7827931.6688915.245590e-08
0.7861931.6687855.346361e-08
0.7896091.668685.447570e-08
0.7930391.6685765.549218e-08
0.7964841.6684725.651308e-08
0.7999441.6683685.753842e-08
0.81.6683675.755500e-08
0.8034191.6682665.632283e-08
0.8069091.6681635.506505e-08
0.8104151.6680625.380181e-08
0.8139351.6679615.253308e-08
0.8174711.6678615.125883e-08
0.8210231.6677614.997906e-08
0.8245891.6676624.869372e-08
0.8281721.6675634.740280e-08
0.8317691.6674654.610627e-08
0.8353831.6673684.480411e-08
0.8390121.6672714.349629e-08
0.8426571.6671744.218279e-08
0.8463171.6670794.086359e-08
0.8499941.6669833.953865e-08
0.8536871.6668883.820796e-08
0.8573951.6667943.687148e-08
0.861121.66673.552920e-08
0.8648611.6666073.418109e-08
0.8686181.6665143.282713e-08
0.8723911.6664213.146728e-08
0.8761811.6663293.010152e-08
0.8799881.6662382.872983e-08
0.8838111.6661462.735218e-08
0.887651.6660562.596855e-08
0.8915061.6659662.457890e-08
0.8953791.6658762.318322e-08
0.8992691.6657862.178148e-08
0.91.665772.151800e-08
0.9031751.6656972.210137e-08
0.9070991.6656092.282218e-08
0.911041.665522.354611e-08
0.9149981.6654332.427320e-08
0.9189721.6653452.500344e-08
0.9229651.6652582.573685e-08
0.9269741.6651712.647345e-08
0.9310011.6650852.721325e-08
0.9350461.6649992.795626e-08
0.9391081.6649132.870250e-08
0.9431881.6648282.945198e-08
0.9472851.6647433.020472e-08
0.95141.6646583.096073e-08
0.9555331.6645743.172002e-08
0.9596841.664493.248261e-08
0.9638531.6644063.324852e-08
0.9680411.6643223.401775e-08
0.9722461.6642393.479032e-08
0.976471.6641563.556625e-08
0.9807121.6640733.634555e-08
0.9849721.6639913.712824e-08
0.9892511.6639093.791432e-08
0.9935491.6638273.870382e-08
0.9978651.6637453.949675e-08
11.6637053.988900e-08
1.00221.6636643.976583e-08
1.006551.6635833.952206e-08
1.010931.6635023.927724e-08
1.015321.6634213.903134e-08
1.019731.663343.878438e-08
1.024161.663263.853635e-08
1.028611.663183.828724e-08
1.033081.66313.803705e-08
1.037561.663023.778577e-08
1.042071.662943.753340e-08
1.04661.6628613.727993e-08
1.051151.6627823.702537e-08
1.055711.6627033.676969e-08
1.06031.6626243.651291e-08
1.06491.6625453.625501e-08
1.069531.6624663.599599e-08
1.074181.6623883.573584e-08
1.078841.6623093.547456e-08
1.083531.6622313.521215e-08
1.088241.6621533.494860e-08
1.092961.6620753.468391e-08
1.097711.6619973.441806e-08
1.102481.6619193.415106e-08
1.107271.6618413.388290e-08
1.112081.6617643.361357e-08
1.116911.6616863.334308e-08
1.121761.6616083.307141e-08
1.126641.6615313.279856e-08
1.131531.6614533.252452e-08
1.136451.6613763.224929e-08
1.141381.6612993.197287e-08
1.146341.6612213.169525e-08
1.151321.6611443.141642e-08
1.156321.6610673.113638e-08
1.161351.660993.085512e-08
1.166391.6609133.057264e-08
1.171461.6608353.028894e-08
1.176551.6607583.000400e-08
1.181661.6606812.971782e-08
1.186791.6606042.943040e-08
1.191951.6605272.914173e-08
1.197131.6604492.885181e-08
1.21.6604072.869100e-08
1.202331.6603722.926810e-08
1.207551.6602953.056264e-08
1.21281.6602173.186281e-08
1.218071.660143.316862e-08
1.223361.6600623.448011e-08
1.228671.6599853.579730e-08
1.234011.6599073.712020e-08
1.239371.659833.844886e-08
1.244751.6597523.978328e-08
1.250161.6596744.112351e-08
1.255591.6595964.246955e-08
1.261051.6595184.382145e-08
1.266531.659444.517921e-08
1.272031.6593624.654288e-08
1.277551.6592834.791247e-08
1.28311.6592054.928800e-08
1.288681.6591265.066952e-08
1.294281.6590485.205703e-08
1.29991.6589695.345058e-08
1.305551.658895.485018e-08
1.311221.658815.625585e-08
1.316911.6587315.766764e-08
1.322641.6586515.908555e-08
1.328381.6585726.050963e-08
1.334151.6584926.193990e-08
1.339951.6584126.337637e-08
1.345771.6583326.481909e-08
1.351621.6582516.626807e-08
1.357491.658176.772335e-08
1.363381.6580896.918496e-08
1.369311.6580087.065291e-08
1.375261.6579277.212724e-08
1.381231.6578457.360797e-08
1.387231.6577647.509513e-08
1.393261.6576817.658876e-08
1.399311.6575997.808888e-08
1.41.657597.826000e-08
1.405391.6575177.890689e-08
1.411491.6574347.963983e-08
1.417631.6573518.037596e-08
1.423781.6572678.111529e-08
1.429971.6571838.185783e-08
1.436181.6570998.260359e-08
1.442421.6570158.335260e-08
1.448691.656938.410486e-08
1.454981.6568458.486039e-08
1.46131.656768.561919e-08
1.467651.6566758.638130e-08
1.474031.6565898.714672e-08
1.480431.6565028.791546e-08
1.486861.6564168.868754e-08
1.493321.6563298.946297e-08
1.499811.6562419.024178e-08
1.506321.6561549.102396e-08
1.512871.6560669.180955e-08
1.519441.6559779.259855e-08
1.526041.6558889.339097e-08
1.532671.6557999.418684e-08
1.539331.6557099.498617e-08
1.546011.6556199.578896e-08
1.552731.6555299.659525e-08
1.559481.6554389.740504e-08
1.566251.6553469.821834e-08
1.573051.6552549.903518e-08
1.579891.6551629.985557e-08
1.586751.6550691.006795e-07
1.593641.6549761.015071e-07
1.61.654891.022700e-07
1.600571.6548821.025943e-07
1.607521.6547881.065653e-07
1.61451.6546931.105536e-07
1.621521.6545981.145592e-07
1.628561.6545021.185821e-07
1.635641.6544061.226226e-07
1.642741.6543091.266806e-07
1.649881.6542121.307562e-07
1.657051.6541141.348496e-07
1.664251.6540161.389607e-07
1.671481.6539171.430897e-07
1.678741.6538171.472366e-07
1.686031.6537171.514015e-07
1.693351.6536171.555845e-07
1.700711.6535151.597857e-07
1.70811.6534131.640052e-07
1.715521.6533111.682430e-07
1.722971.6532081.724991e-07
1.730461.6531041.767738e-07
1.737971.6531.810671e-07
1.745521.6528951.853790e-07
1.753111.6527891.897096e-07
1.760721.6526831.940591e-07
1.768371.6525761.984274e-07
1.776051.6524682.028147e-07
1.783771.652362.072211e-07
1.791521.652252.116466e-07
1.79931.6521412.160914e-07
1.81.6521312.164900e-07
1.807121.652032.237079e-07
1.814971.6519192.316679e-07
1.822851.6518072.396626e-07
1.830771.6516942.476919e-07
1.838731.6515812.557562e-07
1.846711.6514662.638555e-07
1.854741.6513512.719899e-07
1.862791.6512352.801598e-07
1.870891.6511192.883651e-07
1.879011.6510012.966060e-07
1.887181.6508833.048827e-07
1.895371.6507643.131955e-07
1.903611.6506443.215443e-07
1.911881.6505233.299294e-07
1.920181.6504023.383509e-07
1.928531.6502793.468090e-07
1.93691.6501563.553038e-07
1.945321.6500313.638355e-07
1.953771.6499063.724044e-07
1.962261.649783.810104e-07
1.970781.6496533.896538e-07
1.979341.6495253.983348e-07
1.987941.6493964.070535e-07
1.996581.6492664.158100e-07
21.6492154.192800e-07
2.005251.6491354.401494e-07
2.013961.6490034.747689e-07
2.022711.6488715.095388e-07
2.03151.6487375.444598e-07
2.040321.6486025.795324e-07
2.049191.6484666.147574e-07
2.058091.6483296.501355e-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
—