Optical constants

Refractive index of J-LAK02 (HIKARI)

J-LAK02: 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
1.67
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.78889
Permittivity ε2
6.25963e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
57.35
Chromatic dispersion dn/dλ
-0.0603746 µm⁻¹
Group index ng
1.70547
Group velocity dispersion
105.122 fs²/mm
Dispersion parameter D
-573.497 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-LAK02 (HIKARI): J-LAK02
hikari_j_lak02 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK02", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak02.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak02.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=2.74008995−0.0120461104⁢λ2.0−0.000175410927⁢λ4.0+0.0176614454⁢λ−2.0+0.00018931729⁢λ−4.0+1.04494737×10-5⁢λ−6.0−1.62215193×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.74008995
C2-0.0120461104
C32.0
C4-0.000175410927
C54.0
C60.0176614454
C7-2.0
C80.00018931729
C9-4.0
C101.04494737e-05
C11-6.0
C12-1.62215193e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -1.0652e-06 1.0024e-08 -8.1594e-13 5.1356e-07 4.6991e-10 0.14302
nd
1.670000
Vd
57.349561
density
value: 3750
thermal expansion
value: 6.3e-06, temperature range: 243 343
dPgF
-0.0053
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.52e-07 K⁻¹ at 633 nm, dn/dT = -3.99e-07 K⁻¹ at 1310 nm, dn/dT = -4.43e-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-LAK02 (HIKARI), J-LAK02: n and k versus wavelength
λ (µm)nk
0.3650151.6987082.044174e-07
0.3666011.6982841.903965e-07
0.3681931.6978661.763148e-07
0.3697931.6974511.621718e-07
0.371.6973981.603400e-07
0.3713991.6970411.525403e-07
0.3730131.6966351.435470e-07
0.3746331.6962331.345146e-07
0.3762611.6958351.254429e-07
0.3778951.6954421.163319e-07
0.3795371.6950521.071812e-07
0.381.6949431.046000e-07
0.3811861.6946671.003836e-07
0.3828421.6942859.449500e-08
0.3845051.6939078.858083e-08
0.3861751.6935338.264096e-08
0.3878531.6931637.667529e-08
0.3895381.6927967.068370e-08
0.391.6926966.904000e-08
0.391231.6924336.726116e-08
0.392931.6920746.480320e-08
0.3946371.6917186.233457e-08
0.3963511.6913665.985522e-08
0.3980731.6910185.736509e-08
0.3998021.6906725.486415e-08
0.41.6906335.457800e-08
0.4015391.6903315.348317e-08
0.4032831.6899925.224222e-08
0.4050351.6896585.099588e-08
0.4067951.6893264.974412e-08
0.4085621.6889974.848693e-08
0.4103371.6886724.722427e-08
0.412121.688354.595613e-08
0.413911.6880324.468248e-08
0.4157081.6877164.340330e-08
0.4175141.6874034.211856e-08
0.4193281.6870944.082823e-08
0.421.686984.035000e-08
0.4211491.6867874.005345e-08
0.4229791.6864833.958142e-08
0.4248171.6861833.910734e-08
0.4266621.6858853.863120e-08
0.4285161.685593.815299e-08
0.4303771.6852983.767271e-08
0.4322471.6850093.719034e-08
0.4341251.6847223.670587e-08
0.436011.6844383.621930e-08
0.4379051.6841573.573061e-08
0.4398071.6838793.523980e-08
0.441.6838513.519000e-08
0.4417181.6836033.469293e-08
0.4436371.683333.413759e-08
0.4455641.6830593.357984e-08
0.4474991.6827913.301967e-08
0.4494431.6825263.245706e-08
0.4513961.6822633.189201e-08
0.4533571.6820023.132451e-08
0.4553261.6817443.075454e-08
0.4573041.6814883.018209e-08
0.4592911.6812352.960716e-08
0.461.6811452.940200e-08
0.4612861.6809842.898940e-08
0.463291.6807352.834664e-08
0.4653031.6804892.770109e-08
0.4673241.6802452.705273e-08
0.4693541.6800032.640155e-08
0.4713931.6797632.574755e-08
0.4734411.6795262.509070e-08
0.4754981.6792912.443100e-08
0.4775641.6790572.376844e-08
0.4796381.6788262.310299e-08
0.481.6787862.298700e-08
0.4817221.6785972.272499e-08
0.4838151.6783712.240659e-08
0.4859171.6781462.208680e-08
0.4880271.6779232.176562e-08
0.4901481.6777022.144304e-08
0.4922771.6774842.111907e-08
0.4944151.6772672.079369e-08
0.4965631.6770522.046689e-08
0.4987211.6768392.013867e-08
0.51.6767141.994400e-08
0.5008871.6766281.990138e-08
0.5030631.6764191.979685e-08
0.5052481.6762111.969186e-08
0.5074431.6760061.958642e-08
0.5096481.6758021.948052e-08
0.5118621.67561.937416e-08
0.5140861.67541.926733e-08
0.5163191.6752021.916004e-08
0.5185621.6750051.905229e-08
0.5208151.674811.894407e-08
0.5230771.6746171.883537e-08
0.5253491.6744251.872621e-08
0.5276321.6742351.861657e-08
0.5299241.6740471.850646e-08
0.5322261.673861.839586e-08
0.5345381.6736751.828479e-08
0.536861.6734911.817323e-08
0.5391931.6733091.806119e-08
0.5415351.6731291.794866e-08
0.5438871.672951.783565e-08
0.546251.6727731.772214e-08
0.5486231.6725971.760814e-08
0.551.6724961.754200e-08
0.5510071.6724221.757411e-08
0.55341.6722491.765047e-08
0.5558041.6720781.772716e-08
0.5582191.6719081.780419e-08
0.5606441.6717391.788154e-08
0.563081.6715721.795924e-08
0.5655261.6714061.803727e-08
0.5679821.6712411.811564e-08
0.570451.6710781.819435e-08
0.5729281.6709161.827341e-08
0.5754171.6707561.835280e-08
0.5779171.6705961.843255e-08
0.5804271.6704381.851263e-08
0.5829491.6702821.859307e-08
0.5854811.6701261.867386e-08
0.5880251.6699721.875499e-08
0.5905791.6698191.883648e-08
0.5931451.6696671.891832e-08
0.5957221.6695171.900052e-08
0.598311.6693671.908308e-08
0.61.6692711.913700e-08
0.6009091.6692191.926045e-08
0.6035191.6690721.961500e-08
0.6061411.6689261.997110e-08
0.6087741.6687822.032874e-08
0.6114191.6686382.068794e-08
0.6140751.6684952.104870e-08
0.6167431.6683542.141102e-08
0.6194221.6682142.177492e-08
0.6221131.6680742.214040e-08
0.6248161.6679362.250747e-08
0.627531.6677992.287613e-08
0.6302561.6676632.324640e-08
0.6329941.6675282.361827e-08
0.6357441.6673942.399176e-08
0.6385061.6672612.436687e-08
0.641281.6671282.474361e-08
0.6440661.6669972.512199e-08
0.6468641.6668672.550201e-08
0.6496741.6667382.588368e-08
0.651.6667232.592800e-08
0.6524961.666612.630714e-08
0.6553311.6664822.673772e-08
0.6581781.6663562.717016e-08
0.6610371.666232.760449e-08
0.6639081.6661062.804070e-08
0.6667931.6659822.847880e-08
0.6696891.6658592.891881e-08
0.6725991.6657372.936073e-08
0.6755211.6656162.980457e-08
0.6784551.6654953.025034e-08
0.6814031.6653763.069805e-08
0.6843631.6652573.114770e-08
0.6873361.6651393.159930e-08
0.6903221.6650223.205287e-08
0.6933211.6649063.250840e-08
0.6963331.664793.296592e-08
0.6993581.6646753.342542e-08
0.71.6646513.352300e-08
0.7023961.6645613.409875e-08
0.7054471.6644483.483206e-08
0.7085121.6643363.556855e-08
0.711591.6642243.630824e-08
0.7146811.6641133.705115e-08
0.7177861.6640023.779728e-08
0.7209041.6638933.854665e-08
0.7240361.6637843.929928e-08
0.7271811.6636764.005518e-08
0.730341.6635684.081436e-08
0.7335131.6634614.157684e-08
0.73671.6633554.234263e-08
0.73991.6632494.311175e-08
0.7431141.6631444.388421e-08
0.7463421.663044.466002e-08
0.7495851.6629364.543921e-08
0.7528411.6628334.622178e-08
0.7561121.662734.700775e-08
0.7593961.6626284.779714e-08
0.7626951.6625274.858995e-08
0.7660091.6624264.938621e-08
0.7693361.6623265.018593e-08
0.7726791.6622265.098912e-08
0.7760351.6621275.179580e-08
0.7794071.6620295.260599e-08
0.7827931.6619315.341969e-08
0.7861931.6618335.423693e-08
0.7896091.6617365.505773e-08
0.7930391.661645.588208e-08
0.7964841.6615445.671002e-08
0.7999441.6614485.754155e-08
0.81.6614475.755500e-08
0.8034191.6613535.632283e-08
0.8069091.6612595.506505e-08
0.8104151.6611655.380181e-08
0.8139351.6610715.253308e-08
0.8174711.6609785.125883e-08
0.8210231.6608864.997906e-08
0.8245891.6607934.869372e-08
0.8281721.6607024.740280e-08
0.8317691.660614.610627e-08
0.8353831.6605194.480411e-08
0.8390121.6604294.349629e-08
0.8426571.6603394.218279e-08
0.8463171.6602494.086359e-08
0.8499941.660163.953865e-08
0.8536871.6600713.820796e-08
0.8573951.6599823.687148e-08
0.861121.6598943.552920e-08
0.8648611.6598063.418109e-08
0.8686181.6597193.282713e-08
0.8723911.6596313.146728e-08
0.8761811.6595453.010152e-08
0.8799881.6594582.872983e-08
0.8838111.6593722.735218e-08
0.887651.6592862.596855e-08
0.8915061.6592012.457890e-08
0.8953791.6591152.318322e-08
0.8992691.6590312.178148e-08
0.91.6590152.151800e-08
0.9031751.6589462.184752e-08
0.9070991.6588622.225467e-08
0.911041.6587772.266360e-08
0.9149981.6586942.307429e-08
0.9189721.658612.348678e-08
0.9229651.6585272.390105e-08
0.9269741.6584442.431712e-08
0.9310011.6583612.473500e-08
0.9350461.6582782.515470e-08
0.9391081.6581962.557622e-08
0.9431881.6581142.599957e-08
0.9472851.6580322.642476e-08
0.95141.657952.685180e-08
0.9555331.6578692.728069e-08
0.9596841.6577882.771145e-08
0.9638531.6577062.814407e-08
0.9680411.6576262.857858e-08
0.9722461.6575452.901497e-08
0.976471.6574642.945326e-08
0.9807121.6573842.989346e-08
0.9849721.6573043.033556e-08
0.9892511.6572233.077959e-08
0.9935491.6571433.122554e-08
0.9978651.6570643.167344e-08
11.6570243.189500e-08
1.00221.6569843.185976e-08
1.006551.6569043.179001e-08
1.010931.6568253.171996e-08
1.015321.6567463.164961e-08
1.019731.6566663.157894e-08
1.024161.6565873.150798e-08
1.028611.6565083.143670e-08
1.033081.6564293.136512e-08
1.037561.656353.129322e-08
1.042071.6562713.122101e-08
1.04661.6561933.114849e-08
1.051151.6561143.107565e-08
1.055711.6560353.100250e-08
1.06031.6559573.092902e-08
1.06491.6558783.085523e-08
1.069531.65583.078112e-08
1.074181.6557213.070669e-08
1.078841.6556433.063193e-08
1.083531.6555643.055685e-08
1.088241.6554863.048144e-08
1.092961.6554073.040571e-08
1.097711.6553293.032964e-08
1.102481.655253.025325e-08
1.107271.6551723.017652e-08
1.112081.6550933.009946e-08
1.116911.6550153.002206e-08
1.121761.6549362.994433e-08
1.126641.6548582.986626e-08
1.131531.6547792.978786e-08
1.136451.65472.970911e-08
1.141381.6546212.963002e-08
1.146341.6545432.955058e-08
1.151321.6544642.947080e-08
1.156321.6543852.939068e-08
1.161351.6543062.931020e-08
1.166391.6542262.922938e-08
1.171461.6541472.914821e-08
1.176551.6540682.906668e-08
1.181661.6539882.898480e-08
1.186791.6539092.890256e-08
1.191951.6538292.881997e-08
1.197131.6537492.873701e-08
1.21.6537052.869100e-08
1.202331.6536692.939878e-08
1.207551.6535893.098648e-08
1.21281.6535083.258107e-08
1.218071.6534283.418259e-08
1.223361.6533473.579107e-08
1.228671.6532673.740653e-08
1.234011.6531863.902901e-08
1.239371.6531044.065854e-08
1.244751.6530234.229515e-08
1.250161.6529414.393887e-08
1.255591.652864.558973e-08
1.261051.6527784.724777e-08
1.266531.6526954.891300e-08
1.272031.6526135.058547e-08
1.277551.652535.226521e-08
1.28311.6524475.395224e-08
1.288681.6523645.564660e-08
1.294281.6522815.734832e-08
1.29991.6521975.905743e-08
1.305551.6521136.077397e-08
1.311221.6520296.249797e-08
1.316911.6519446.422946e-08
1.322641.651866.596846e-08
1.328381.6517746.771502e-08
1.334151.6516896.946917e-08
1.339951.6516037.123094e-08
1.345771.6515177.300037e-08
1.351621.6514317.477748e-08
1.357491.6513447.656231e-08
1.363381.6512577.835489e-08
1.369311.651178.015527e-08
1.375261.6510828.196346e-08
1.381231.6509948.377951e-08
1.387231.6509058.560344e-08
1.393261.6508178.743531e-08
1.399311.6507278.927512e-08
1.41.6507178.948500e-08
1.405391.6506389.121538e-08
1.411491.6505489.317595e-08
1.417631.6504579.514505e-08
1.423781.6503669.712269e-08
1.429971.6502759.910893e-08
1.436181.6501831.011038e-07
1.442421.6500911.031073e-07
1.448691.6499991.051196e-07
1.454981.6499061.071406e-07
1.46131.6498121.091703e-07
1.467651.6497181.112089e-07
1.474031.6496241.132563e-07
1.480431.6495291.153126e-07
1.486861.6494331.173779e-07
1.493321.6493371.194521e-07
1.499811.6492411.215354e-07
1.506321.6491441.236277e-07
1.512871.6490461.257291e-07
1.519441.6489481.278396e-07
1.526041.648851.299592e-07
1.532671.6487511.320881e-07
1.539331.6486511.342263e-07
1.546011.6485511.363737e-07
1.552731.648451.385305e-07
1.559481.6483481.406966e-07
1.566251.6482461.428721e-07
1.573051.6481431.450571e-07
1.579891.648041.472516e-07
1.586751.6479361.494556e-07
1.593641.6478321.516692e-07
1.61.6477351.537100e-07
1.600571.6477261.543033e-07
1.607521.6476211.615674e-07
1.61451.6475141.688630e-07
1.621521.6474071.761903e-07
1.628561.6472991.835494e-07
1.635641.647191.909405e-07
1.642741.6470811.983637e-07
1.649881.6469712.058192e-07
1.657051.646862.133070e-07
1.664251.6467492.208274e-07
1.671481.6466372.283804e-07
1.678741.6465242.359663e-07
1.686031.646412.435851e-07
1.693351.6462952.512370e-07
1.700711.646182.589222e-07
1.70811.6460642.666407e-07
1.715521.6459472.743928e-07
1.722971.645832.821785e-07
1.730461.6457112.899981e-07
1.737971.6455922.978517e-07
1.745521.6454713.057393e-07
1.753111.645353.136612e-07
1.760721.6452283.216176e-07
1.768371.6451063.296085e-07
1.776051.6449823.376341e-07
1.783771.6448573.456946e-07
1.791521.6447323.537901e-07
1.79931.6446053.619208e-07
1.81.6445943.626500e-07
1.807121.6444783.764187e-07
1.814971.6443493.916032e-07
1.822851.644224.068537e-07
1.830771.644094.221705e-07
1.838731.6439584.375537e-07
1.846711.6438264.530039e-07
1.854741.6436934.685211e-07
1.862791.6435584.841057e-07
1.870891.6434234.997581e-07
1.879011.6432865.154784e-07
1.887181.6431495.312670e-07
1.895371.643015.471243e-07
1.903611.642875.630504e-07
1.911881.642735.790457e-07
1.920181.6425885.951105e-07
1.928531.6424456.112450e-07
1.93691.64236.274497e-07
1.945321.6421556.437248e-07
1.953771.6420086.600705e-07
1.962261.6418616.764873e-07
1.970781.6417126.929754e-07
1.979341.6415617.095351e-07
1.987941.641417.261668e-07
1.996581.6412577.428707e-07
21.6411977.494900e-07
2.005251.6411037.991418e-07
2.013961.6409488.815074e-07
2.022711.6407929.642309e-07
2.03151.6406341.047314e-06
2.040321.6404751.130757e-06
2.049191.6403141.214564e-06
2.058091.6401521.298734e-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
—