Optical constants

Refractive index of J-LAK14 (HIKARI)

J-LAK14: 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
1.6968
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.87912
Permittivity ε2
7.95407e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
55.52
Chromatic dispersion dn/dλ
-0.0648541 µm⁻¹
Group index ng
1.73491
Group velocity dispersion
112.735 fs²/mm
Dispersion parameter D
-615.03 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-LAK14 (HIKARI): J-LAK14
hikari_j_lak14 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK14", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak14.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak14.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=2.8267987−0.0140346783⁢λ2.0−0.000170936348⁢λ4.0+0.0189011366⁢λ−2.0+0.00027593367⁢λ−4.0+5.15919094×10-6⁢λ−6.0+9.87059817×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.8267987
C2-0.0140346783
C32.0
C4-0.000170936348
C54.0
C60.0189011366
C7-2.0
C80.00027593367
C9-4.0
C105.15919094e-06
C11-6.0
C129.87059817e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.9256e-06 1.1453e-08 -1.3417e-12 5.0269e-07 4.3535e-10 0.16504
nd
1.696800
Vd
55.520369
density
value: 3630
thermal expansion
value: 5.6e-06, temperature range: 243 343
dPgF
-0.0082
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.81e-06 K⁻¹ at 633 nm, dn/dT = 1.20e-06 K⁻¹ at 1310 nm, dn/dT = 1.15e-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-LAK14 (HIKARI), J-LAK14: n and k versus wavelength
λ (µm)nk
0.3650151.7276652.929401e-07
0.3666011.7272092.707529e-07
0.3681931.7267582.484692e-07
0.3697931.7263122.260888e-07
0.371.7262542.231900e-07
0.3713991.725872.123287e-07
0.3730131.7254331.998051e-07
0.3746331.7251.872271e-07
0.3762611.7245721.745945e-07
0.3778951.7241481.619070e-07
0.3795371.7237291.491644e-07
0.381.7236121.455700e-07
0.3811861.7233141.402782e-07
0.3828421.7229031.328876e-07
0.3845051.7224961.254649e-07
0.3861751.7220931.180100e-07
0.3878531.7216951.105228e-07
0.3895381.72131.030029e-07
0.391.7211931.009400e-07
0.391231.720919.763447e-08
0.392931.7205239.306698e-08
0.3946371.7201418.847965e-08
0.3963511.7197628.387238e-08
0.3980731.7193877.924511e-08
0.3998021.7190167.459773e-08
0.41.7189737.406600e-08
0.4015391.7186487.225370e-08
0.4032831.7182847.019952e-08
0.4050351.7179246.813642e-08
0.4067951.7175676.606435e-08
0.4085621.7172146.398328e-08
0.4103371.7168646.189317e-08
0.412121.7165185.979398e-08
0.413911.7161755.768567e-08
0.4157081.7158355.556821e-08
0.4175141.7154995.344154e-08
0.4193281.7151665.130563e-08
0.421.7150445.051400e-08
0.4211491.7148374.983671e-08
0.4229791.714514.875863e-08
0.4248171.7141874.767587e-08
0.4266621.7138674.658841e-08
0.4285161.713554.549623e-08
0.4303771.7132364.439929e-08
0.4322471.7129254.329760e-08
0.4341251.7126174.219111e-08
0.436011.7123124.107983e-08
0.4379051.7120093.996371e-08
0.4398071.711713.884274e-08
0.441.711683.872900e-08
0.4417181.7114143.824507e-08
0.4436371.711123.770441e-08
0.4455641.7108293.716141e-08
0.4474991.7105413.661604e-08
0.4494431.7102563.606831e-08
0.4513961.7099733.551819e-08
0.4533571.7096933.496569e-08
0.4553261.7094163.441079e-08
0.4573041.7091413.385347e-08
0.4592911.7088693.329374e-08
0.461.7087723.309400e-08
0.4612861.7085993.269124e-08
0.463291.7083323.206381e-08
0.4653031.7080673.143365e-08
0.4673241.7078053.080076e-08
0.4693541.7075453.016511e-08
0.4713931.7072872.952671e-08
0.4734411.7070322.888553e-08
0.4754981.7067792.824156e-08
0.4775641.7065292.759480e-08
0.4796381.7062812.694523e-08
0.481.7062382.683200e-08
0.4817221.7060352.658342e-08
0.4838151.7057912.628134e-08
0.4859171.705552.597795e-08
0.4880271.705312.567323e-08
0.4901481.7050732.536720e-08
0.4922771.7048382.505983e-08
0.4944151.7046052.475113e-08
0.4965631.7043742.444108e-08
0.4987211.7041452.412969e-08
0.51.7040112.394500e-08
0.5008871.7039192.390941e-08
0.5030631.7036942.382211e-08
0.5052481.7034712.373443e-08
0.5074431.7032512.364637e-08
0.5096481.7030322.355793e-08
0.5118621.7028152.346910e-08
0.5140861.70262.337989e-08
0.5163191.7023872.329029e-08
0.5185621.7021752.320030e-08
0.5208151.7019662.310992e-08
0.5230771.7017582.301915e-08
0.5253491.7015532.292798e-08
0.5276321.7013492.283641e-08
0.5299241.7011462.274445e-08
0.5322261.7009462.265209e-08
0.5345381.7007472.255933e-08
0.536861.700552.246617e-08
0.5391931.7003542.237260e-08
0.5415351.7001612.227862e-08
0.5438871.6999692.218424e-08
0.546251.6997782.208944e-08
0.5486231.6995892.199423e-08
0.551.6994812.193900e-08
0.5510071.6994022.197914e-08
0.55341.6992162.207460e-08
0.5558041.6990322.217048e-08
0.5582191.6988492.226677e-08
0.5606441.6986682.236348e-08
0.563081.6984882.246061e-08
0.5655261.698312.255817e-08
0.5679821.6981332.265614e-08
0.570451.6979582.275454e-08
0.5729281.6977842.285337e-08
0.5754171.6976122.295263e-08
0.5779171.6974412.305232e-08
0.5804271.6972712.315244e-08
0.5829491.6971032.325300e-08
0.5854811.6969362.335400e-08
0.5880251.696772.345543e-08
0.5905791.6966062.355731e-08
0.5931451.6964432.365962e-08
0.5957221.6962812.376238e-08
0.598311.696122.386559e-08
0.61.6960172.393300e-08
0.6009091.6959612.406381e-08
0.6035191.6958032.443951e-08
0.6061411.6956472.481684e-08
0.6087741.6954912.519582e-08
0.6114191.6953372.557644e-08
0.6140751.6951842.595871e-08
0.6167431.6950322.634264e-08
0.6194221.6948812.672824e-08
0.6221131.6947312.711552e-08
0.6248161.6945832.750448e-08
0.627531.6944352.789513e-08
0.6302561.6942892.828747e-08
0.6329941.6941442.868152e-08
0.6357441.6942.907728e-08
0.6385061.6938572.947477e-08
0.641281.6937142.987397e-08
0.6440661.6935743.027492e-08
0.6468641.6934343.067760e-08
0.6496741.6932953.108203e-08
0.651.6932793.112900e-08
0.6524961.6931573.152841e-08
0.6553311.693023.198200e-08
0.6581781.6928843.243756e-08
0.6610371.6927493.289511e-08
0.6639081.6926153.335463e-08
0.6667931.6924813.381616e-08
0.6696891.6923493.427969e-08
0.6725991.6922183.474523e-08
0.6755211.6920883.521280e-08
0.6784551.6919583.568240e-08
0.6814031.691833.615404e-08
0.6843631.6917023.662772e-08
0.6873361.6915753.710347e-08
0.6903221.6914493.758128e-08
0.6933211.6913243.806117e-08
0.6963331.6911993.854314e-08
0.6993581.6910763.902720e-08
0.71.691053.913000e-08
0.7023961.6909533.972540e-08
0.7054471.6908314.048373e-08
0.7085121.690714.124535e-08
0.711591.690594.201028e-08
0.7146811.690474.277853e-08
0.7177861.6903514.355012e-08
0.7209041.6902334.432506e-08
0.7240361.6901164.510337e-08
0.7271811.6899994.588506e-08
0.730341.6898834.667015e-08
0.7335131.6897684.745864e-08
0.73671.6896534.825057e-08
0.73991.6895394.904593e-08
0.7431141.6894264.984475e-08
0.7463421.6893145.064703e-08
0.7495851.6892025.145281e-08
0.7528411.689095.226208e-08
0.7561121.688985.307487e-08
0.7593961.688875.389119e-08
0.7626951.6887615.471106e-08
0.7660091.6886525.553448e-08
0.7693361.6885445.636149e-08
0.7726791.6884365.719209e-08
0.7760351.6883295.802629e-08
0.7794071.6882235.886412e-08
0.7827931.6881175.970559e-08
0.7861931.6880116.055072e-08
0.7896091.6879076.139952e-08
0.7930391.6878036.225200e-08
0.7964841.6876996.310819e-08
0.7999441.6875966.396809e-08
0.81.6875946.398200e-08
0.8034191.6874936.302182e-08
0.8069091.6873916.204169e-08
0.8104151.6872896.105731e-08
0.8139351.6871886.006864e-08
0.8174711.6870875.907568e-08
0.8210231.6869875.807841e-08
0.8245891.6868875.707681e-08
0.8281721.6867885.607085e-08
0.8317691.6866895.506052e-08
0.8353831.6865915.404581e-08
0.8390121.6864925.302669e-08
0.8426571.6863955.200313e-08
0.8463171.6862985.097514e-08
0.8499941.6862014.994267e-08
0.8536871.6861044.890573e-08
0.8573951.6860084.786427e-08
0.861121.6859134.681830e-08
0.8648611.6858174.576777e-08
0.8686181.6857234.471269e-08
0.8723911.6856284.365302e-08
0.8761811.6855344.258875e-08
0.8799881.685444.151985e-08
0.8838111.6853464.044631e-08
0.887651.6852533.936811e-08
0.8915061.685163.828522e-08
0.8953791.6850683.719763e-08
0.8992691.6849753.610532e-08
0.91.6849583.590000e-08
0.9031751.6848833.577282e-08
0.9070991.6847923.561568e-08
0.911041.68473.545786e-08
0.9149981.6846093.529935e-08
0.9189721.6845183.514015e-08
0.9229651.6844273.498026e-08
0.9269741.6843373.481968e-08
0.9310011.6842473.465840e-08
0.9350461.6841573.449642e-08
0.9391081.6840673.433373e-08
0.9431881.6839783.417034e-08
0.9472851.6838883.400624e-08
0.95141.6837993.384142e-08
0.9555331.6837113.367589e-08
0.9596841.6836223.350964e-08
0.9638531.6835333.334267e-08
0.9680411.6834453.317497e-08
0.9722461.6833573.300655e-08
0.976471.6832693.283739e-08
0.9807121.6831813.266750e-08
0.9849721.6830933.249686e-08
0.9892511.6830063.232549e-08
0.9935491.6829183.215338e-08
0.9978651.6828313.198051e-08
11.6827883.189500e-08
1.00221.6827443.175446e-08
1.006551.6826573.147632e-08
1.010931.682573.119697e-08
1.015321.6824833.091641e-08
1.019731.6823963.063463e-08
1.024161.6823093.035162e-08
1.028611.6822233.006738e-08
1.033081.6821362.978191e-08
1.037561.682052.949520e-08
1.042071.6819632.920724e-08
1.04661.6818772.891804e-08
1.051151.6817912.862757e-08
1.055711.6817042.833585e-08
1.06031.6816182.804285e-08
1.06491.6815322.774859e-08
1.069531.6814452.745304e-08
1.074181.6813592.715621e-08
1.078841.6812732.685810e-08
1.083531.6811872.655868e-08
1.088241.68112.625797e-08
1.092961.6810142.595595e-08
1.097711.6809282.565262e-08
1.102481.6808412.534797e-08
1.107271.6807552.504200e-08
1.112081.6806692.473469e-08
1.116911.6805822.442606e-08
1.121761.6804952.411608e-08
1.126641.6804092.380475e-08
1.131531.6803222.349208e-08
1.136451.6802352.317804e-08
1.141381.6801482.286264e-08
1.146341.6800612.254587e-08
1.151321.6799742.222772e-08
1.156321.6798872.190819e-08
1.161351.67982.158728e-08
1.166391.6797122.126497e-08
1.171461.6796242.094126e-08
1.176551.6795372.061614e-08
1.181661.6794492.028961e-08
1.186791.6793611.996166e-08
1.191951.6792731.963229e-08
1.197131.6791841.930149e-08
1.21.6791351.911800e-08
1.202331.6790961.928513e-08
1.207551.6790071.966002e-08
1.21281.6789182.003654e-08
1.218071.6788292.041470e-08
1.223361.6787392.079451e-08
1.228671.678652.117596e-08
1.234011.678562.155907e-08
1.239371.678472.194384e-08
1.244751.678382.233028e-08
1.250161.6782892.271841e-08
1.255591.6781982.310822e-08
1.261051.6781072.349972e-08
1.266531.6780162.389293e-08
1.272031.6779242.428784e-08
1.277551.6778332.468447e-08
1.28311.677742.508282e-08
1.288681.6776482.548290e-08
1.294281.6775552.588472e-08
1.29991.6774622.628828e-08
1.305551.6773692.669360e-08
1.311221.6772752.710068e-08
1.316911.6771812.750953e-08
1.322641.6770872.792015e-08
1.328381.6769922.833256e-08
1.334151.6768972.874676e-08
1.339951.6768012.916276e-08
1.345771.6767052.958056e-08
1.351621.6766093.000018e-08
1.357491.6765133.042163e-08
1.363381.6764163.084490e-08
1.369311.6763183.127001e-08
1.375261.676223.169697e-08
1.381231.6761223.212579e-08
1.387231.6760233.255647e-08
1.393261.6759243.298902e-08
1.399311.6758253.342344e-08
1.41.6758133.347300e-08
1.405391.6757253.532656e-08
1.411491.6756243.742670e-08
1.417631.6755233.953597e-08
1.423781.6754224.165440e-08
1.429971.675324.378203e-08
1.436181.6752174.591891e-08
1.442421.6751144.806507e-08
1.448691.6750115.022055e-08
1.454981.6749075.238540e-08
1.46131.6748025.455965e-08
1.467651.6746975.674335e-08
1.474031.6745915.893653e-08
1.480431.6744856.113924e-08
1.486861.6743786.335152e-08
1.493321.6742716.557342e-08
1.499811.6741636.780496e-08
1.506321.6740547.004620e-08
1.512871.6739457.229717e-08
1.519441.6738357.455792e-08
1.526041.6737257.682850e-08
1.532671.6736147.910894e-08
1.539331.6735028.139928e-08
1.546011.673398.369958e-08
1.552731.6732778.600987e-08
1.559481.6731638.833019e-08
1.566251.6730499.066059e-08
1.573051.6729349.300112e-08
1.579891.6728189.535182e-08
1.586751.6727019.771273e-08
1.593641.6725841.000839e-07
1.61.6724761.022700e-07
1.600571.6724661.028013e-07
1.607521.6723471.093064e-07
1.61451.6722281.158398e-07
1.621521.6721081.224015e-07
1.628561.6719871.289918e-07
1.635641.6718651.356107e-07
1.642741.6717421.422583e-07
1.649881.6716191.489348e-07
1.657051.6714951.556403e-07
1.664251.6713691.623750e-07
1.671481.6712441.691389e-07
1.678741.6711171.759322e-07
1.686031.6709891.827550e-07
1.693351.6708611.896074e-07
1.700711.6707311.964896e-07
1.70811.6706012.034018e-07
1.715521.670472.103439e-07
1.722971.6703372.173162e-07
1.730461.6702042.243188e-07
1.737971.670072.313518e-07
1.745521.6699352.384153e-07
1.753111.6697992.455096e-07
1.760721.6696622.526346e-07
1.768371.6695242.597907e-07
1.776051.6693852.669778e-07
1.783771.6692452.741961e-07
1.791521.6691042.814458e-07
1.79931.6689622.887270e-07
1.81.6689492.893800e-07
1.807121.6688193.033861e-07
1.814971.6686753.188324e-07
1.822851.6685293.343459e-07
1.830771.6683833.499267e-07
1.838731.6682353.655753e-07
1.846711.6680873.812918e-07
1.854741.6679373.970765e-07
1.862791.6677864.129299e-07
1.870891.6676344.288521e-07
1.879011.6674814.448435e-07
1.887181.6673264.609044e-07
1.895371.667174.770350e-07
1.903611.6670134.932357e-07
1.911881.6668555.095068e-07
1.920181.6666965.258486e-07
1.928531.6665355.422614e-07
1.93691.6663735.587454e-07
1.945321.6662095.753011e-07
1.953771.6660455.919287e-07
1.962261.6658796.086286e-07
1.970781.6657116.254010e-07
1.979341.6655436.422462e-07
1.987941.6653736.591646e-07
1.996581.6652016.761566e-07
21.6651336.828900e-07
2.005251.6650287.237222e-07
2.013961.6648547.914572e-07
2.022711.6646788.594864e-07
2.03151.6645019.278112e-07
2.040321.6643229.964329e-07
2.049191.6641421.065353e-06
2.058091.663961.134572e-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
—