Optical constants

Refractive index of J-LAK13 (HIKARI)

J-LAK13: 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
1.6935
Extinction coefficient k
3.39405e-08
Permittivity ε1
2.86793
Permittivity ε2
1.14956e-07
Absorption coefficient α
0.00725849 cm⁻¹
Penetration depth δ = λ/(2πk)
2.75539e+09 nm
Abbe number Vd
53.203
Chromatic dispersion dn/dλ
-0.0671866 µm⁻¹
Group index ng
1.73298
Group velocity dispersion
119.213 fs²/mm
Dispersion parameter D
-650.368 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-LAK13 (HIKARI): J-LAK13
hikari_j_lak13 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-LAK13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_lak13.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_lak13.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=2.81256049−0.0123338559⁢λ2.0−0.000146274016⁢λ4.0+0.0196331804⁢λ−2.0+0.00031921638⁢λ−4.0+3.67504765×10-6⁢λ−6.0+2.77132755×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.81256049
C2-0.0123338559
C32.0
C4-0.000146274016
C54.0
C60.0196331804
C7-2.0
C80.00031921638
C9-4.0
C103.67504765e-06
C11-6.0
C122.77132755e-07
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 3.8785e-06 1.2562e-08 -2.1995e-12 6.5808e-07 7.5438e-10 0.15591
nd
1.693500
Vd
53.203150
density
value: 3690
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-0.0071
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 3.09e-06 K⁻¹ at 633 nm, dn/dT = 2.30e-06 K⁻¹ at 1310 nm, dn/dT = 2.23e-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-LAK13 (HIKARI), J-LAK13: n and k versus wavelength
λ (µm)nk
0.3650151.7258872.737397e-07
0.3666011.7254052.536266e-07
0.3681931.7249272.334261e-07
0.3697931.7244552.131378e-07
0.371.7243942.105100e-07
0.3713991.7239881.992093e-07
0.3730131.7235251.861791e-07
0.3746331.7230681.730923e-07
0.3762611.7226151.599487e-07
0.3778951.7221671.467479e-07
0.3795371.7217241.334898e-07
0.381.72161.297500e-07
0.3811861.7212861.251948e-07
0.3828421.7208521.188331e-07
0.3845051.7204221.124438e-07
0.3861751.7199971.060267e-07
0.3878531.7195769.958173e-08
0.3895381.719169.310876e-08
0.391.7190479.133300e-08
0.391231.7187488.840853e-08
0.392931.718348.436757e-08
0.3946371.7179378.030906e-08
0.3963511.7175377.623292e-08
0.3980731.7171427.213907e-08
0.3998021.7167516.802743e-08
0.41.7167066.755700e-08
0.4015391.7163636.624556e-08
0.4032831.715986.475909e-08
0.4050351.71566.326616e-08
0.4067951.7152256.176674e-08
0.4085621.7148536.026081e-08
0.4103371.7144845.874834e-08
0.412121.714125.722930e-08
0.413911.7137595.570366e-08
0.4157081.7134025.417139e-08
0.4175141.7130485.263246e-08
0.4193281.7126985.108685e-08
0.421.7125695.051400e-08
0.4211491.7123515.004027e-08
0.4229791.7120084.928621e-08
0.4248171.7116684.852888e-08
0.4266621.7113314.776825e-08
0.4285161.7109984.700433e-08
0.4303771.7106684.623708e-08
0.4322471.7103414.546650e-08
0.4341251.7100184.469257e-08
0.436011.7096984.391528e-08
0.4379051.709384.313462e-08
0.4398071.7090664.235056e-08
0.441.7090344.227100e-08
0.4417181.7087554.180029e-08
0.4436371.7084474.127441e-08
0.4455641.7081424.074625e-08
0.4474991.7078394.021579e-08
0.4494431.707543.968302e-08
0.4513961.7072443.914794e-08
0.4533571.706953.861054e-08
0.4553261.7066593.807080e-08
0.4573041.7063713.752872e-08
0.4592911.7060863.698428e-08
0.461.7059853.679000e-08
0.4612861.7058033.664484e-08
0.463291.7055233.641869e-08
0.4653031.7052463.619156e-08
0.4673241.7049713.596345e-08
0.4693541.7046993.573435e-08
0.4713931.7044293.550425e-08
0.4734411.7041623.527315e-08
0.4754981.7038983.504105e-08
0.4775641.7036363.480793e-08
0.4796381.7033763.457381e-08
0.481.7033313.453300e-08
0.4817221.7031193.431137e-08
0.4838151.7028643.404204e-08
0.4859171.7026113.377154e-08
0.4880271.7023613.349986e-08
0.4901481.7021133.322700e-08
0.4922771.7018683.295296e-08
0.4944151.7016243.267773e-08
0.4965631.7013833.240130e-08
0.4987211.7011443.212367e-08
0.51.7010043.195900e-08
0.5008871.7009073.201570e-08
0.5030631.7006733.215479e-08
0.5052481.700443.229448e-08
0.5074431.700213.243478e-08
0.5096481.6999813.257569e-08
0.5118621.6997553.271721e-08
0.5140861.6995313.285935e-08
0.5163191.6993093.300210e-08
0.5185621.6990883.314547e-08
0.5208151.698873.328947e-08
0.5230771.6986543.343409e-08
0.5253491.6984393.357934e-08
0.5276321.6982273.372522e-08
0.5299241.6980163.387174e-08
0.5322261.6978073.401889e-08
0.5345381.69763.416668e-08
0.536861.6973953.431511e-08
0.5391931.6971913.446419e-08
0.5415351.696993.461391e-08
0.5438871.696793.476429e-08
0.546251.6965923.491532e-08
0.5486231.6963953.506700e-08
0.551.6962823.515500e-08
0.5510071.69623.512249e-08
0.55341.6960073.504517e-08
0.5558041.6958163.496752e-08
0.5582191.6956263.488953e-08
0.5606441.6954383.481120e-08
0.563081.6952513.473253e-08
0.5655261.6950663.465352e-08
0.5679821.6948833.457417e-08
0.570451.6947013.449447e-08
0.5729281.694523.441442e-08
0.5754171.6943413.433403e-08
0.5779171.6941643.425329e-08
0.5804271.6939883.417219e-08
0.5829491.6938143.409075e-08
0.5854811.6936413.400895e-08
0.5880251.6934693.392680e-08
0.5905791.6932993.384429e-08
0.5931451.693133.376142e-08
0.5957221.6929633.367819e-08
0.598311.6927963.359460e-08
0.61.6926893.354000e-08
0.6009091.6926323.359081e-08
0.6035191.6924683.373673e-08
0.6061411.6923063.388329e-08
0.6087741.6921453.403049e-08
0.6114191.6919863.417833e-08
0.6140751.6918283.432681e-08
0.6167431.6916713.447593e-08
0.6194221.6915153.462570e-08
0.6221131.6913613.477612e-08
0.6248161.6912073.492720e-08
0.627531.6910553.507893e-08
0.6302561.6909043.523132e-08
0.6329941.6907543.538437e-08
0.6357441.6906063.553809e-08
0.6385061.6904583.569248e-08
0.641281.6903123.584754e-08
0.6440661.6901673.600327e-08
0.6468641.6900233.615967e-08
0.6496741.689883.631676e-08
0.651.6898633.633500e-08
0.6524961.6897383.619463e-08
0.6553311.6895973.603521e-08
0.6581781.6894573.587510e-08
0.6610371.6893183.571429e-08
0.6639081.6891813.555279e-08
0.6667931.6890443.539058e-08
0.6696891.6889083.522767e-08
0.6725991.6887733.506405e-08
0.6755211.688643.489972e-08
0.6784551.6885073.473468e-08
0.6814031.6883753.456892e-08
0.6843631.6882443.440244e-08
0.6873361.6881143.423524e-08
0.6903221.6879853.406731e-08
0.6933211.6878573.389865e-08
0.6963331.687733.372926e-08
0.6993581.6876033.355913e-08
0.71.6875773.352300e-08
0.7023961.6874783.394492e-08
0.7054471.6873533.448230e-08
0.7085121.6872293.502201e-08
0.711591.6871063.556407e-08
0.7146811.6869843.610848e-08
0.7177861.6868633.665525e-08
0.7209041.6867433.720440e-08
0.7240361.6866233.775594e-08
0.7271811.6865043.830987e-08
0.730341.6863863.886621e-08
0.7335131.6862693.942497e-08
0.73671.6861523.998615e-08
0.73991.6860364.054977e-08
0.7431141.6859214.111584e-08
0.7463421.6858074.168437e-08
0.7495851.6856934.225537e-08
0.7528411.685584.282885e-08
0.7561121.6854684.340482e-08
0.7593961.6853564.398330e-08
0.7626951.6852454.456428e-08
0.7660091.6851354.514779e-08
0.7693361.6850264.573384e-08
0.7726791.6849174.632243e-08
0.7760351.6848084.691358e-08
0.7794071.6847014.750729e-08
0.7827931.6845944.810359e-08
0.7861931.6844874.870247e-08
0.7896091.6843824.930396e-08
0.7930391.6842764.990806e-08
0.7964841.6841725.051479e-08
0.7999441.6840685.112415e-08
0.81.6840665.113400e-08
0.8034191.6839645.159956e-08
0.8069091.6838615.207479e-08
0.8104151.6837595.255208e-08
0.8139351.6836575.303145e-08
0.8174711.6835565.351290e-08
0.8210231.6834555.399645e-08
0.8245891.6833555.448209e-08
0.8281721.6832555.496985e-08
0.8317691.6831565.545972e-08
0.8353831.6830585.595172e-08
0.8390121.6829595.644586e-08
0.8426571.6828625.694214e-08
0.8463171.6827645.744058e-08
0.8499941.6826675.794119e-08
0.8536871.6825715.844397e-08
0.8573951.6824755.894893e-08
0.861121.682385.945609e-08
0.8648611.6822855.996545e-08
0.8686181.682196.047703e-08
0.8723911.6820966.099083e-08
0.8761811.6820026.150686e-08
0.8799881.6819086.202513e-08
0.8838111.6818156.254565e-08
0.887651.6817236.306843e-08
0.8915061.6816316.359349e-08
0.8953791.6815396.412082e-08
0.8992691.6814476.465045e-08
0.91.681436.475000e-08
0.9031751.6813566.446897e-08
0.9070991.6812656.412173e-08
0.911041.6811756.377298e-08
0.9149981.6810846.342272e-08
0.9189721.6809946.307093e-08
0.9229651.6809056.271762e-08
0.9269741.6808166.236277e-08
0.9310011.6807276.200639e-08
0.9350461.6806386.164845e-08
0.9391081.680556.128896e-08
0.9431881.6804626.092790e-08
0.9472851.6803746.056528e-08
0.95141.6802866.020108e-08
0.9555331.6801995.983530e-08
0.9596841.6801125.946793e-08
0.9638531.6800255.909897e-08
0.9680411.6799385.872840e-08
0.9722461.6798525.835622e-08
0.976471.6797665.798243e-08
0.9807121.679685.760701e-08
0.9849721.6795945.722996e-08
0.9892511.6795095.685128e-08
0.9935491.6794245.647094e-08
0.9978651.6793385.608896e-08
11.6792965.590000e-08
1.00221.6792535.549543e-08
1.006551.6791695.469472e-08
1.010931.6790845.389054e-08
1.015321.6795.308286e-08
1.019731.6789155.227168e-08
1.024161.6788315.145697e-08
1.028611.6787475.063872e-08
1.033081.6786634.981691e-08
1.037561.6785794.899154e-08
1.042071.6784964.816258e-08
1.04661.6784124.733002e-08
1.051151.6783294.649384e-08
1.055711.6782454.565403e-08
1.06031.6781624.481057e-08
1.06491.6780794.396345e-08
1.069531.6779964.311264e-08
1.074181.6779134.225814e-08
1.078841.677834.139993e-08
1.083531.6777474.053799e-08
1.088241.6776643.967231e-08
1.092961.6775813.880286e-08
1.097711.6774993.792964e-08
1.102481.6774163.705262e-08
1.107271.6773333.617180e-08
1.112081.677253.528715e-08
1.116911.6771683.439865e-08
1.121761.6770853.350630e-08
1.126641.6770023.261007e-08
1.131531.676923.170994e-08
1.136451.6768373.080591e-08
1.141381.6767542.989794e-08
1.146341.6766712.898604e-08
1.151321.6765892.807017e-08
1.156321.6765062.715032e-08
1.161351.6764232.622648e-08
1.166391.676342.529862e-08
1.171461.6762572.436673e-08
1.176551.6761742.343080e-08
1.181661.676092.249079e-08
1.186791.6760072.154671e-08
1.191951.6759242.059852e-08
1.197131.675841.964622e-08
1.21.6757941.911800e-08
1.202331.6757571.993723e-08
1.207551.6756732.177494e-08
1.21281.6755892.362062e-08
1.218071.6755052.547433e-08
1.223361.6754212.733609e-08
1.228671.6753372.920593e-08
1.234011.6752533.108390e-08
1.239371.6751683.297003e-08
1.244751.6750833.486435e-08
1.250161.6749993.676690e-08
1.255591.6749143.867771e-08
1.261051.6748284.059683e-08
1.266531.6747434.252428e-08
1.272031.6746574.446011e-08
1.277551.6745724.640435e-08
1.28311.6744864.835703e-08
1.288681.6743995.031819e-08
1.294281.6743135.228788e-08
1.29991.6742265.426612e-08
1.305551.6741395.625296e-08
1.311221.6740525.824842e-08
1.316911.6739656.025256e-08
1.322641.6738776.226540e-08
1.328381.6737896.428699e-08
1.334151.6737016.631736e-08
1.339951.6736126.835655e-08
1.345771.6735247.040460e-08
1.351621.6734357.246154e-08
1.357491.6733457.452742e-08
1.363381.6732557.660228e-08
1.369311.6731657.868615e-08
1.375261.6730758.077907e-08
1.381231.6729848.288108e-08
1.387231.6728938.499223e-08
1.393261.6728028.711255e-08
1.399311.672718.924208e-08
1.41.67278.948500e-08
1.405391.6726189.121538e-08
1.411491.6725269.317595e-08
1.417631.6724339.514505e-08
1.423781.672349.712269e-08
1.429971.6722469.910893e-08
1.436181.6721521.011038e-07
1.442421.6720581.031073e-07
1.448691.6719631.051196e-07
1.454981.6718671.071406e-07
1.46131.6717721.091703e-07
1.467651.6716751.112089e-07
1.474031.6715791.132563e-07
1.480431.6714821.153126e-07
1.486861.6713841.173779e-07
1.493321.6712861.194521e-07
1.499811.6711881.215354e-07
1.506321.6710891.236277e-07
1.512871.6709891.257291e-07
1.519441.6708891.278396e-07
1.526041.6707881.299592e-07
1.532671.6706871.320881e-07
1.539331.6705861.342263e-07
1.546011.6704841.363737e-07
1.552731.6703811.385305e-07
1.559481.6702781.406966e-07
1.566251.6701741.428721e-07
1.573051.6700691.450571e-07
1.579891.6699641.472516e-07
1.586751.6698591.494556e-07
1.593641.6697521.516692e-07
1.61.6696541.537100e-07
1.600571.6696451.543868e-07
1.607521.6695381.626733e-07
1.61451.669431.709959e-07
1.621521.6693211.793545e-07
1.628561.6692121.877495e-07
1.635641.6691021.961810e-07
1.642741.6689912.046491e-07
1.649881.6688792.131540e-07
1.657051.6687672.216958e-07
1.664251.6686542.302747e-07
1.671481.6685412.388909e-07
1.678741.6684272.475446e-07
1.686031.6683122.562358e-07
1.693351.6681962.649648e-07
1.700711.6680792.737317e-07
1.70811.6679622.825366e-07
1.715521.6678442.913799e-07
1.722971.6677253.002615e-07
1.730461.6676053.091818e-07
1.737971.6674853.181408e-07
1.745521.6673643.271387e-07
1.753111.6672413.361757e-07
1.760721.6671193.452519e-07
1.768371.6669953.543676e-07
1.776051.666873.635229e-07
1.783771.6667453.727180e-07
1.791521.6666183.819530e-07
1.79931.6664913.912281e-07
1.81.6664793.920600e-07
1.807121.6663634.047819e-07
1.814971.6662334.188120e-07
1.822851.6661034.329031e-07
1.830771.6659724.470553e-07
1.838731.665844.612691e-07
1.846711.6657074.755446e-07
1.854741.6655734.898821e-07
1.862791.6654385.042819e-07
1.870891.6653035.187443e-07
1.879011.6651665.332694e-07
1.887181.6650285.478577e-07
1.895371.6648895.625094e-07
1.903611.6647485.772247e-07
1.911881.6646075.920039e-07
1.920181.6644656.068474e-07
1.928531.6643226.217553e-07
1.93691.6641776.367280e-07
1.945321.6640326.517657e-07
1.953771.6638856.668688e-07
1.962261.6637376.820374e-07
1.970781.6635886.972720e-07
1.979341.6634387.125727e-07
1.987941.6632877.279400e-07
1.996581.6631347.433739e-07
21.6630737.494900e-07
2.005251.662987.885735e-07
2.013961.6628258.534076e-07
2.022711.6626699.185234e-07
2.03151.6625119.839221e-07
2.040321.6623521.049605e-06
2.049191.6621921.115573e-06
2.058091.6620311.181828e-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
—