Optical constants

Refractive index of J-LAK9 (HIKARI)

J-LAK9: 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
1.691
Extinction coefficient k
2.12588e-08
Permittivity ε1
2.85947
Permittivity ε2
7.18972e-08
Absorption coefficient α
0.00454639 cm⁻¹
Penetration depth δ = λ/(2πk)
4.39909e+09 nm
Abbe number Vd
54.934
Chromatic dispersion dn/dλ
-0.06496 µm⁻¹
Group index ng
1.72917
Group velocity dispersion
113.448 fs²/mm
Dispersion parameter D
-618.92 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-LAK9 (HIKARI): J-LAK9
hikari_j_lak9 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK9", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak9.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak9.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=2.80700795−0.0135938061⁢λ2.0−0.000153406686⁢λ4.0+0.0188808096⁢λ−2.0+0.000280739188⁢λ−4.0+5.33547368×10-6⁢λ−6.0+1.19947182×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.80700795
C2-0.0135938061
C32.0
C4-0.000153406686
C54.0
C60.0188808096
C7-2.0
C80.000280739188
C9-4.0
C105.33547368e-06
C11-6.0
C121.19947182e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.9877e-06 1.2157e-08 -1.5613e-12 5.0487e-07 6.0552e-10 0.17285
nd
1.691000
Vd
54.934151
glass status
preferred
density
value: 3480
thermal expansion
value: 5.9e-06, temperature range: 243 343
dPgF
-0.0079
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.84e-06 K⁻¹ at 633 nm, dn/dT = 1.23e-06 K⁻¹ at 1310 nm, dn/dT = 1.18e-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-LAK9 (HIKARI), J-LAK9: n and k versus wavelength
λ (µm)nk
0.3650151.7220214.042172e-07
0.3666011.7215613.743170e-07
0.3681931.7211073.442869e-07
0.3697931.7206573.141264e-07
0.371.7205993.102200e-07
0.3713991.7202122.943450e-07
0.3730131.7197712.760405e-07
0.3746331.7193362.576564e-07
0.3762611.7189042.391925e-07
0.3778951.7184772.206484e-07
0.3795371.7180552.020237e-07
0.381.7179371.967700e-07
0.3811861.7176371.884605e-07
0.3828421.7172231.768555e-07
0.3845051.7168131.652002e-07
0.3861751.7164081.534941e-07
0.3878531.7160071.417373e-07
0.3895381.715611.299293e-07
0.391.7155021.266900e-07
0.391231.7152171.218235e-07
0.392931.7148281.150990e-07
0.3946371.7144421.083454e-07
0.3963511.7140611.015624e-07
0.3980731.7136849.474989e-08
0.3998021.713318.790783e-08
0.41.7132688.712500e-08
0.4015391.712948.430783e-08
0.4032831.7125748.111466e-08
0.4050351.7122117.790761e-08
0.4067951.7118537.468663e-08
0.4085621.7114977.145166e-08
0.4103371.7111456.820264e-08
0.412121.7107976.493950e-08
0.413911.7104526.166219e-08
0.4157081.7101115.837064e-08
0.4175141.7097735.506479e-08
0.4193281.7094385.174457e-08
0.421.7093155.051400e-08
0.4211491.7091064.983671e-08
0.4229791.7087784.875863e-08
0.4248171.7084534.767587e-08
0.4266621.7081314.658841e-08
0.4285161.7078124.549623e-08
0.4303771.7074964.439929e-08
0.4322471.7071844.329760e-08
0.4341251.7068744.219111e-08
0.436011.7065674.107983e-08
0.4379051.7062643.996371e-08
0.4398071.7059633.884274e-08
0.441.7059333.872900e-08
0.4417181.7056653.824507e-08
0.4436371.705373.770441e-08
0.4455641.7050783.716141e-08
0.4474991.7047883.661604e-08
0.4494431.7045013.606831e-08
0.4513961.7042173.551819e-08
0.4533571.7039363.496569e-08
0.4553261.7036573.441079e-08
0.4573041.7033813.385347e-08
0.4592911.7031083.329374e-08
0.461.7030113.309400e-08
0.4612861.7028373.244394e-08
0.463291.7025683.143125e-08
0.4653031.7023023.041417e-08
0.4673241.7020392.939266e-08
0.4693541.7017782.836671e-08
0.4713931.7015192.733631e-08
0.4734411.7012632.630143e-08
0.4754981.7010092.526206e-08
0.4775641.7007582.421817e-08
0.4796381.7005092.316975e-08
0.481.7004662.298700e-08
0.4817221.7002622.272499e-08
0.4838151.7000172.240659e-08
0.4859171.6997752.208680e-08
0.4880271.6995342.176562e-08
0.4901481.6992962.144304e-08
0.4922771.699062.111907e-08
0.4944151.6988272.079369e-08
0.4965631.6985952.046689e-08
0.4987211.6983652.013867e-08
0.51.6982311.994400e-08
0.5008871.6981381.982346e-08
0.5030631.6979121.952779e-08
0.5052481.6976891.923084e-08
0.5074431.6974671.893259e-08
0.5096481.6972481.863305e-08
0.5118621.697031.833221e-08
0.5140861.6968141.803006e-08
0.5163191.6966011.772660e-08
0.5185621.6963891.742182e-08
0.5208151.6961791.711571e-08
0.5230771.695971.680828e-08
0.5253491.6957641.649951e-08
0.5276321.6955591.618940e-08
0.5299241.6953561.587794e-08
0.5322261.6951551.556513e-08
0.5345381.6949561.525096e-08
0.536861.6947581.493542e-08
0.5391931.6945621.461852e-08
0.5415351.6943681.430024e-08
0.5438871.6941751.398057e-08
0.546251.6939841.365952e-08
0.5486231.6937951.333707e-08
0.551.6936861.315000e-08
0.5510071.6936071.336709e-08
0.55341.6934211.388331e-08
0.5558041.6932361.440178e-08
0.5582191.6930531.492250e-08
0.5606441.6928721.544549e-08
0.563081.6926911.597074e-08
0.5655261.6925131.649828e-08
0.5679821.6923361.702811e-08
0.570451.692161.756024e-08
0.5729281.6919861.809468e-08
0.5754171.6918131.863144e-08
0.5779171.6916421.917054e-08
0.5804271.6914721.971197e-08
0.5829491.6913032.025576e-08
0.5854811.6911362.080191e-08
0.5880251.690972.135044e-08
0.5905791.6908052.190135e-08
0.5931451.6906422.245465e-08
0.5957221.690482.301035e-08
0.598311.6903192.356847e-08
0.61.6902162.393300e-08
0.6009091.690162.415844e-08
0.6035191.6900022.480595e-08
0.6061411.6898452.545627e-08
0.6087741.6896892.610941e-08
0.6114191.6895352.676539e-08
0.6140751.6893812.742422e-08
0.6167431.6892292.808591e-08
0.6194221.6890782.875048e-08
0.6221131.6889292.941794e-08
0.6248161.688783.008829e-08
0.627531.6886323.076156e-08
0.6302561.6884863.143775e-08
0.6329941.6883413.211688e-08
0.6357441.6881973.279896e-08
0.6385061.6880533.348400e-08
0.641281.6879113.417202e-08
0.6440661.687773.486302e-08
0.6468641.687633.555703e-08
0.6496741.6874913.625406e-08
0.651.6874753.633500e-08
0.6524961.6873533.759693e-08
0.6553311.6872163.903004e-08
0.6581781.687084.046938e-08
0.6610371.6869454.191498e-08
0.6639081.6868114.336685e-08
0.6667931.6866784.482503e-08
0.6696891.6865464.628954e-08
0.6725991.6864154.776042e-08
0.6755211.6862844.923769e-08
0.6784551.6861555.072137e-08
0.6814031.6860275.221150e-08
0.6843631.6858995.370811e-08
0.6873361.6857725.521121e-08
0.6903221.6856465.672085e-08
0.6933211.6855215.823704e-08
0.6963331.6853975.975982e-08
0.6993581.6852746.128922e-08
0.71.6852476.161400e-08
0.7023961.6851516.290834e-08
0.7054471.6850296.455688e-08
0.7085121.6849086.621257e-08
0.711591.6847886.787546e-08
0.7146811.6846696.954557e-08
0.7177861.684557.122294e-08
0.7209041.6844327.290760e-08
0.7240361.6843157.459957e-08
0.7271811.6841987.629889e-08
0.730341.6840837.800560e-08
0.7335131.6839687.971972e-08
0.73671.6838538.144129e-08
0.73991.683748.317033e-08
0.7431141.6836278.490689e-08
0.7463421.6835148.665099e-08
0.7495851.6834038.840267e-08
0.7528411.6832929.016195e-08
0.7561121.6831829.192888e-08
0.7593961.6830729.370349e-08
0.7626951.6829639.548580e-08
0.7660091.6828549.727586e-08
0.7693361.6827479.907370e-08
0.7726791.6826391.008793e-07
0.7760351.6825331.026928e-07
0.7794071.6824271.045142e-07
0.7827931.6823211.063435e-07
0.7861931.6822161.081807e-07
0.7896091.6821121.100259e-07
0.7930391.6820081.118791e-07
0.7964841.6819051.137404e-07
0.7999441.6818021.156098e-07
0.81.68181.156400e-07
0.8034191.68171.124218e-07
0.8069091.6815981.091367e-07
0.8104151.6814971.058373e-07
0.8139351.6813961.025237e-07
0.8174711.6812969.919557e-08
0.8210231.6811969.585303e-08
0.8245891.6810979.249597e-08
0.8281721.6809988.912432e-08
0.8317691.68098.573803e-08
0.8353831.6808028.233702e-08
0.8390121.6807047.892124e-08
0.8426571.6806077.549062e-08
0.8463171.680517.204510e-08
0.8499941.6804146.858461e-08
0.8536871.6803186.510909e-08
0.8573951.6802236.161847e-08
0.861121.6801285.811268e-08
0.8648611.6800335.459166e-08
0.8686181.6799395.105535e-08
0.8723911.6798454.750368e-08
0.8761811.6797514.393657e-08
0.8799881.6796584.035397e-08
0.8838111.6795653.675581e-08
0.887651.6794733.314201e-08
0.8915061.679382.951252e-08
0.8953791.6792882.586726e-08
0.8992691.6791972.220616e-08
0.91.679182.151800e-08
0.9031751.6791052.134058e-08
0.9070991.6790142.112137e-08
0.911041.6789242.090121e-08
0.9149981.6788332.068009e-08
0.9189721.6787432.045801e-08
0.9229651.6786532.023496e-08
0.9269741.6785632.001095e-08
0.9310011.6784741.978596e-08
0.9350461.6783851.955999e-08
0.9391081.6782961.933305e-08
0.9431881.6782071.910511e-08
0.9472851.6781191.887619e-08
0.95141.6780311.864627e-08
0.9555331.6779431.841535e-08
0.9596841.6778551.818343e-08
0.9638531.6777671.795051e-08
0.9680411.677681.771657e-08
0.9722461.6775921.748161e-08
0.976471.6775051.724564e-08
0.9807121.6774181.700864e-08
0.9849721.6773311.677060e-08
0.9892511.6772451.653154e-08
0.9935491.6771581.629144e-08
0.9978651.6770721.605029e-08
11.6770291.593100e-08
1.00221.6769861.596605e-08
1.006551.67691.603543e-08
1.010931.6768141.610511e-08
1.015321.6767281.617509e-08
1.019731.6766421.624538e-08
1.024161.6765561.631597e-08
1.028611.6764711.638687e-08
1.033081.6763851.645807e-08
1.037561.67631.652959e-08
1.042071.6762141.660141e-08
1.04661.6761291.667355e-08
1.051151.6760441.674600e-08
1.055711.6759591.681877e-08
1.06031.6758731.689185e-08
1.06491.6757881.696525e-08
1.069531.6757031.703897e-08
1.074181.6756181.711301e-08
1.078841.6755331.718737e-08
1.083531.6754481.726205e-08
1.088241.6753631.733706e-08
1.092961.6752781.741239e-08
1.097711.6751931.748805e-08
1.102481.6751081.756404e-08
1.107271.6750221.764036e-08
1.112081.6749371.771701e-08
1.116911.6748521.779400e-08
1.121761.6747671.787132e-08
1.126641.6746811.794897e-08
1.131531.6745961.802696e-08
1.136451.6745111.810529e-08
1.141381.6744251.818396e-08
1.146341.6743391.826298e-08
1.151321.6742541.834233e-08
1.156321.6741681.842203e-08
1.161351.6740821.850208e-08
1.166391.6739961.858248e-08
1.171461.673911.866322e-08
1.176551.6738231.874432e-08
1.181661.6737371.882576e-08
1.186791.673651.890756e-08
1.191951.6735641.898972e-08
1.197131.6734771.907223e-08
1.21.6734291.911800e-08
1.202331.673392.085575e-08
1.207551.6733032.475388e-08
1.21281.6732152.866894e-08
1.218071.6731283.260100e-08
1.223361.673043.655015e-08
1.228671.6729524.051645e-08
1.234011.6728644.449999e-08
1.239371.6727754.850083e-08
1.244751.6726875.251905e-08
1.250161.6725985.655472e-08
1.255591.6725096.060793e-08
1.261051.672426.467875e-08
1.266531.672336.876725e-08
1.272031.672247.287351e-08
1.277551.672157.699761e-08
1.28311.672068.113963e-08
1.288681.6719698.529964e-08
1.294281.6718798.947772e-08
1.29991.6717879.367396e-08
1.305551.6716969.788842e-08
1.311221.6716041.021212e-07
1.316911.6715121.063723e-07
1.322641.671421.106420e-07
1.328381.6713271.149302e-07
1.334151.6712341.192370e-07
1.339951.671141.235625e-07
1.345771.6710471.279068e-07
1.351621.6709521.322700e-07
1.357491.6708581.366521e-07
1.363381.6707631.410533e-07
1.369311.6706681.454735e-07
1.375261.6705721.499130e-07
1.381231.6704761.543718e-07
1.387231.6703791.588500e-07
1.393261.6702831.633476e-07
1.399311.6701851.678647e-07
1.41.6701741.683800e-07
1.405391.6700871.693766e-07
1.411491.6699891.705058e-07
1.417631.6698911.716399e-07
1.423781.6697911.727789e-07
1.429971.6696921.739228e-07
1.436181.6695921.750718e-07
1.442421.6694911.762257e-07
1.448691.669391.773846e-07
1.454981.6692891.785486e-07
1.46131.6691871.797176e-07
1.467651.6690841.808917e-07
1.474031.6689811.820709e-07
1.480431.6688771.832553e-07
1.486861.6687731.844448e-07
1.493321.6686681.856394e-07
1.499811.6685631.868392e-07
1.506321.6684571.880443e-07
1.512871.6683511.892545e-07
1.519441.6682441.904701e-07
1.526041.6681361.916909e-07
1.532671.6680281.929170e-07
1.539331.6679191.941485e-07
1.546011.667811.953853e-07
1.552731.66771.966274e-07
1.559481.6675891.978750e-07
1.566251.6674771.991280e-07
1.573051.6673652.003864e-07
1.579891.6672532.016503e-07
1.586751.6671392.029197e-07
1.593641.6670252.041946e-07
1.61.666922.053700e-07
1.600571.666912.059001e-07
1.607521.6667952.123906e-07
1.61451.6666782.189093e-07
1.621521.6665612.254563e-07
1.628561.6664442.320318e-07
1.635641.6663252.386358e-07
1.642741.6662062.452685e-07
1.649881.6660862.519301e-07
1.657051.6659652.586205e-07
1.664251.6658432.653401e-07
1.671481.6657212.720888e-07
1.678741.6655982.788668e-07
1.686031.6654742.856743e-07
1.693351.6653492.925114e-07
1.700711.6652232.993782e-07
1.70811.6650963.062747e-07
1.715521.6649693.132013e-07
1.722971.664843.201579e-07
1.730461.6647113.271448e-07
1.737971.6645813.341620e-07
1.745521.664453.412097e-07
1.753111.6643183.482881e-07
1.760721.6641853.553971e-07
1.768371.6640513.625371e-07
1.776051.6639163.697080e-07
1.783771.663783.769102e-07
1.791521.6636433.841436e-07
1.79931.6635053.914084e-07
1.81.6634933.920600e-07
1.807121.6633664.107512e-07
1.814971.6632264.313644e-07
1.822851.6630854.520671e-07
1.830771.6629434.728598e-07
1.838731.66284.937427e-07
1.846711.6626565.147165e-07
1.854741.6625115.357813e-07
1.862791.6623645.569376e-07
1.870891.6622175.781859e-07
1.879011.6620685.995264e-07
1.887181.6619186.209597e-07
1.895371.6617676.424861e-07
1.903611.6616156.641059e-07
1.911881.6614626.858198e-07
1.920181.6613077.076279e-07
1.928531.6611527.295308e-07
1.93691.6609957.515288e-07
1.945321.6608367.736224e-07
1.953771.6606777.958120e-07
1.962261.6605168.180980e-07
1.970781.6603548.404807e-07
1.979341.6601918.629608e-07
1.987941.6600268.855384e-07
1.996581.659869.082142e-07
21.6597949.172000e-07
2.005251.6596939.732635e-07
2.013961.6595241.066265e-06
2.022711.6593541.159671e-06
2.03151.6591821.253482e-06
2.040321.6590091.347701e-06
2.049191.6588351.442329e-06
2.058091.6586591.537369e-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
—