Optical constants

Refractive index of J-SK12 (HIKARI)

J-SK12: 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
1.58313
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.50629
Permittivity ε2
4.44816e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
59.42
Chromatic dispersion dn/dλ
-0.0507132 µm⁻¹
Group index ng
1.61293
Group velocity dispersion
88.4332 fs²/mm
Dispersion parameter D
-482.45 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-SK12 (HIKARI): J-SK12
hikari_j_sk12 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SK12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sk12.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_sk12.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=2.46741191−0.00952788845⁢λ2.0−0.000102594923⁢λ4.0+0.0140303006⁢λ−2.0+0.000169265777⁢λ−4.0+5.39399652×10-6⁢λ−6.0−2.33385875×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.46741191
C2-0.00952788845
C32.0
C4-0.000102594923
C54.0
C60.0140303006
C7-2.0
C80.000169265777
C9-4.0
C105.39399652e-06
C11-6.0
C12-2.33385875e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 3.1379e-06 1.4764e-08 -2.5759e-12 4.852e-07 5.9867e-10 0.18104
nd
1.583130
Vd
59.419851
density
value: 3230
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-0.0018
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.11e-06 K⁻¹ at 633 nm, dn/dT = 1.59e-06 K⁻¹ at 1310 nm, dn/dT = 1.55e-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-SK12 (HIKARI), J-SK12: n and k versus wavelength
λ (µm)nk
0.3650151.6072291.064032e-07
0.3666011.6068759.723021e-08
0.3681931.6065248.801734e-08
0.3697931.6061767.876445e-08
0.371.6061327.756600e-08
0.3713991.6058327.353715e-08
0.3730131.6054926.889172e-08
0.3746331.6051556.422611e-08
0.3762611.6048225.954023e-08
0.3778951.6044925.483399e-08
0.3795371.6041655.010730e-08
0.381.6040744.877400e-08
0.3811861.6038424.743343e-08
0.3828421.6035214.556120e-08
0.3845051.6032044.368084e-08
0.3861751.6028914.179231e-08
0.3878531.602583.989557e-08
0.3895381.6022733.799060e-08
0.391.6021893.746800e-08
0.391231.6019683.560970e-08
0.392931.6016673.304195e-08
0.3946371.6013693.046305e-08
0.3963511.6010732.787294e-08
0.3980731.6007812.527159e-08
0.3998021.6004912.265893e-08
0.41.6004592.236000e-08
0.4015391.6002052.218717e-08
0.4032831.5999212.199128e-08
0.4050351.599642.179453e-08
0.4067951.5993612.159694e-08
0.4085621.5990862.139848e-08
0.4103371.5988132.119916e-08
0.412121.5985432.099897e-08
0.413911.5982752.079792e-08
0.4157081.598012.059599e-08
0.4175141.5977482.039318e-08
0.4193281.5974882.018949e-08
0.421.5973932.011400e-08
0.4211491.5972311.996670e-08
0.4229791.5969761.973224e-08
0.4248171.5967231.949676e-08
0.4266621.5964731.926026e-08
0.4285161.5962261.902274e-08
0.4303771.5959811.878417e-08
0.4322471.5957381.854458e-08
0.4341251.5954971.830394e-08
0.436011.5952591.806226e-08
0.4379051.5950231.781952e-08
0.4398071.5947891.757574e-08
0.441.5947651.755100e-08
0.4417181.5945571.761953e-08
0.4436371.5943281.769610e-08
0.4455641.5941011.777299e-08
0.4474991.5938761.785023e-08
0.4494431.5936531.792779e-08
0.4513961.5934321.800570e-08
0.4533571.5932131.808394e-08
0.4553261.5929961.816252e-08
0.4573041.5927811.824145e-08
0.4592911.5925691.832071e-08
0.461.5924931.834900e-08
0.4612861.5923581.815354e-08
0.463291.5921491.784904e-08
0.4653031.5919421.754322e-08
0.4673241.5917371.723607e-08
0.4693541.5915341.692759e-08
0.4713931.5913321.661776e-08
0.4734411.5911331.630659e-08
0.4754981.5909351.599407e-08
0.4775641.5907391.568019e-08
0.4796381.5905451.536495e-08
0.481.5905121.531000e-08
0.4817221.5903531.536485e-08
0.4838151.5901631.543150e-08
0.4859171.5899741.549844e-08
0.4880271.5897871.556568e-08
0.4901481.5896011.563320e-08
0.4922771.5894171.570102e-08
0.4944151.5892351.576913e-08
0.4965631.5890551.583754e-08
0.4987211.5888761.590625e-08
0.51.5887711.594700e-08
0.5008871.5886981.589738e-08
0.5030631.5885231.577565e-08
0.5052481.5883481.565340e-08
0.5074431.5881761.553062e-08
0.5096481.5880051.540730e-08
0.5118621.5878351.528345e-08
0.5140861.5876671.515906e-08
0.5163191.58751.503412e-08
0.5185621.5873351.490865e-08
0.5208151.5871711.478263e-08
0.5230771.5870091.465607e-08
0.5253491.5868481.452895e-08
0.5276321.5866881.440128e-08
0.5299241.586531.427306e-08
0.5322261.5863731.414428e-08
0.5345381.5862171.401494e-08
0.536861.5860631.388504e-08
0.5391931.585911.375457e-08
0.5415351.5857591.362354e-08
0.5438871.5856081.349194e-08
0.546251.5854591.335976e-08
0.5486231.5853111.322701e-08
0.551.5852271.315000e-08
0.5510071.5851651.317406e-08
0.55341.585021.323127e-08
0.5558041.5848761.328873e-08
0.5582191.5847331.334643e-08
0.5606441.5845911.340439e-08
0.563081.584451.346260e-08
0.5655261.5843111.352106e-08
0.5679821.5841731.357978e-08
0.570451.5840361.363875e-08
0.5729281.58391.369798e-08
0.5754171.5837651.375747e-08
0.5779171.5836311.381721e-08
0.5804271.5834981.387721e-08
0.5829491.5833671.393748e-08
0.5854811.5832361.399800e-08
0.5880251.5831071.405879e-08
0.5905791.5829781.411985e-08
0.5931451.5828511.418117e-08
0.5957221.5827241.424275e-08
0.598311.5825991.430460e-08
0.61.5825181.434500e-08
0.6009091.5824741.446110e-08
0.6035191.5823511.479457e-08
0.6061411.5822281.512948e-08
0.6087741.5821071.546585e-08
0.6114191.5819861.580367e-08
0.6140751.5818661.614297e-08
0.6167431.5817481.648374e-08
0.6194221.581631.682599e-08
0.6221131.5815131.716973e-08
0.6248161.5813971.751496e-08
0.627531.5812821.786169e-08
0.6302561.5811671.820993e-08
0.6329941.5810541.855968e-08
0.6357441.5809411.891095e-08
0.6385061.5808291.926374e-08
0.641281.5807191.961807e-08
0.6440661.5806081.997394e-08
0.6468641.5804992.033135e-08
0.6496741.5803912.069031e-08
0.651.5803782.073200e-08
0.6524961.5802832.109092e-08
0.6553311.5801762.149854e-08
0.6581781.580072.190792e-08
0.6610371.5799642.231909e-08
0.6639081.579862.273204e-08
0.6667931.5797562.314678e-08
0.6696891.5796532.356333e-08
0.6725991.579552.398168e-08
0.6755211.5794492.440186e-08
0.6784551.5793482.482386e-08
0.6814031.5792472.524769e-08
0.6843631.5791482.567336e-08
0.6873361.5790492.610088e-08
0.6903221.578952.653026e-08
0.6933211.5788532.696151e-08
0.6963331.5787562.739462e-08
0.6993581.578662.782962e-08
0.71.5786392.792200e-08
0.7023961.5785642.832444e-08
0.7054471.5784692.883701e-08
0.7085121.5783752.935181e-08
0.711591.5782812.986884e-08
0.7146811.5781883.038812e-08
0.7177861.5780953.090965e-08
0.7209041.5780033.143345e-08
0.7240361.5779123.195953e-08
0.7271811.5778213.248789e-08
0.730341.5777313.301855e-08
0.7335131.5776413.355151e-08
0.73671.5775523.408679e-08
0.73991.5774633.462439e-08
0.7431141.5773753.516433e-08
0.7463421.5772883.570661e-08
0.7495851.5772013.625125e-08
0.7528411.5771143.679825e-08
0.7561121.5770293.734764e-08
0.7593961.5769433.789940e-08
0.7626951.5768583.845357e-08
0.7660091.5767743.901014e-08
0.7693361.576693.956913e-08
0.7726791.5766064.013055e-08
0.7760351.5765234.069441e-08
0.7794071.5764414.126072e-08
0.7827931.5763584.182948e-08
0.7861931.5762774.240072e-08
0.7896091.5761954.297444e-08
0.7930391.5761154.355066e-08
0.7964841.5760344.412937e-08
0.7999441.5759544.471060e-08
0.81.5759534.472000e-08
0.8034191.5758754.392668e-08
0.8069091.5757964.311687e-08
0.8104151.5757174.230355e-08
0.8139351.5756394.148669e-08
0.8174711.5755614.066629e-08
0.8210231.5754833.984232e-08
0.8245891.5754063.901477e-08
0.8281721.5753293.818362e-08
0.8317691.5752533.734887e-08
0.8353831.5751763.651049e-08
0.8390121.5751013.566846e-08
0.8426571.5750253.482278e-08
0.8463171.574953.397343e-08
0.8499941.5748753.312038e-08
0.8536871.5748013.226363e-08
0.8573951.5747273.140316e-08
0.861121.5746533.053895e-08
0.8648611.574582.967098e-08
0.8686181.5745062.879925e-08
0.8723911.5744332.792373e-08
0.8761811.5743612.704440e-08
0.8799881.5742882.616125e-08
0.8838111.5742162.527427e-08
0.887651.5741452.438343e-08
0.8915061.5740732.348873e-08
0.8953791.5740022.259013e-08
0.8992691.5739312.168764e-08
0.91.5739182.151800e-08
0.9031751.573862.159393e-08
0.9070991.573792.168774e-08
0.911041.5737192.178196e-08
0.9149981.5736492.187659e-08
0.9189721.5735792.197163e-08
0.9229651.573512.206709e-08
0.9269741.573442.216296e-08
0.9310011.5733712.225924e-08
0.9350461.5733022.235594e-08
0.9391081.5732332.245307e-08
0.9431881.5731652.255061e-08
0.9472851.5730962.264858e-08
0.95141.5730282.274698e-08
0.9555331.572962.284580e-08
0.9596841.5728922.294505e-08
0.9638531.5728252.304474e-08
0.9680411.5727572.314485e-08
0.9722461.572692.324540e-08
0.976471.5726222.334639e-08
0.9807121.5725552.344782e-08
0.9849721.5724882.354968e-08
0.9892511.5724212.365199e-08
0.9935491.5723552.375475e-08
0.9978651.5722882.385795e-08
11.5722552.390900e-08
1.00221.5722212.375111e-08
1.006551.5721552.343862e-08
1.010931.5720892.312477e-08
1.015321.5720232.280956e-08
1.019731.5719572.249298e-08
1.024161.5718912.217502e-08
1.028611.5718252.185568e-08
1.033081.5717592.153496e-08
1.037561.5716932.121284e-08
1.042071.5716272.088932e-08
1.04661.5715622.056440e-08
1.051151.5714962.023806e-08
1.055711.5714311.991031e-08
1.06031.5713651.958113e-08
1.06491.57131.925052e-08
1.069531.5712341.891848e-08
1.074181.5711691.858500e-08
1.078841.5711041.825006e-08
1.083531.5710381.791367e-08
1.088241.5709731.757582e-08
1.092961.5709081.723651e-08
1.097711.5708421.689571e-08
1.102481.5707771.655344e-08
1.107271.5707121.620968e-08
1.112081.5706461.586443e-08
1.116911.5705811.551768e-08
1.121761.5705161.516942e-08
1.126641.570451.481964e-08
1.131531.5703851.446835e-08
1.136451.5703191.411554e-08
1.141381.5702541.376119e-08
1.146341.5701881.340530e-08
1.151321.5701231.304786e-08
1.156321.5700571.268887e-08
1.161351.5699911.232832e-08
1.166391.5699251.196621e-08
1.171461.569861.160252e-08
1.176551.5697941.123725e-08
1.181661.5697281.087040e-08
1.186791.5696611.050195e-08
1.191951.5695951.013190e-08
1.197131.5695299.760247e-09
1.21.5694929.554100e-09
1.202331.5694621.140320e-08
1.207551.5693961.555109e-08
1.21281.5693291.971701e-08
1.218071.5692622.390102e-08
1.223361.5691962.810321e-08
1.228671.5691283.232365e-08
1.234011.5690613.656243e-08
1.239371.5689944.081962e-08
1.244751.5689264.509530e-08
1.250161.5688594.938957e-08
1.255591.5687915.370248e-08
1.261051.5687235.803413e-08
1.266531.5686556.238460e-08
1.272031.5685876.675397e-08
1.277551.5685187.114232e-08
1.28311.5684497.554974e-08
1.288681.568387.997630e-08
1.294281.5683118.442209e-08
1.29991.5682428.888720e-08
1.305551.5681729.337170e-08
1.311221.5681039.787568e-08
1.316911.5680331.023992e-07
1.322641.5679631.069424e-07
1.328381.5678921.115054e-07
1.334151.5678221.160881e-07
1.339951.5677511.206908e-07
1.345771.5676791.253135e-07
1.351621.5676081.299562e-07
1.357491.5675361.346191e-07
1.363381.5674641.393023e-07
1.369311.5673921.440058e-07
1.375261.567321.487298e-07
1.381231.5672471.534743e-07
1.387231.5671741.582393e-07
1.393261.56711.630251e-07
1.399311.5670271.678317e-07
1.41.5670181.683800e-07
1.405391.5669531.672910e-07
1.411491.5668781.660571e-07
1.417631.5668041.648179e-07
1.423781.5667291.635732e-07
1.429971.5666531.623232e-07
1.436181.5665781.610677e-07
1.442421.5665021.598068e-07
1.448691.5664251.585404e-07
1.454981.5663491.572685e-07
1.46131.5662711.559911e-07
1.467651.5661941.547081e-07
1.474031.5661161.534195e-07
1.480431.5660381.521254e-07
1.486861.5659591.508256e-07
1.493321.565881.495202e-07
1.499811.5658011.482091e-07
1.506321.5657211.468923e-07
1.512871.5656411.455698e-07
1.519441.565561.442416e-07
1.526041.5654791.429075e-07
1.532671.5653971.415677e-07
1.539331.5653151.402221e-07
1.546011.5652321.388706e-07
1.552731.5651491.375132e-07
1.559481.5650661.361500e-07
1.566251.5649821.347808e-07
1.573051.5648981.334057e-07
1.579891.5648131.320246e-07
1.586751.5647271.306375e-07
1.593641.5646421.292444e-07
1.61.5645621.279600e-07
1.600571.5645551.285847e-07
1.607521.5644681.362337e-07
1.61451.5643811.439158e-07
1.621521.5642931.516313e-07
1.628561.5642041.593803e-07
1.635641.5641151.671630e-07
1.642741.5640251.749795e-07
1.649881.5639351.828300e-07
1.657051.5638441.907146e-07
1.664251.5637531.986334e-07
1.671481.5636612.065866e-07
1.678741.5635682.145744e-07
1.686031.5634752.225969e-07
1.693351.5633812.306542e-07
1.700711.5632872.387465e-07
1.70811.5631922.468740e-07
1.715521.5630962.550368e-07
1.722971.5632.632350e-07
1.730461.5629032.714689e-07
1.737971.5628052.797385e-07
1.745521.5627072.880441e-07
1.753111.5626082.963857e-07
1.760721.5625083.047636e-07
1.768371.5624083.131779e-07
1.776051.5623073.216287e-07
1.783771.5622053.301163e-07
1.791521.5621023.386407e-07
1.79931.5619993.472021e-07
1.81.5619893.479700e-07
1.807121.5618953.575306e-07
1.814971.561793.680742e-07
1.822851.5616843.786637e-07
1.830771.5615783.892992e-07
1.838731.5614713.999809e-07
1.846711.5613634.107090e-07
1.854741.5612544.214837e-07
1.862791.5611454.323052e-07
1.870891.5610344.431737e-07
1.879011.5609234.540894e-07
1.887181.5608114.650526e-07
1.895371.5606984.760634e-07
1.903611.5605844.871220e-07
1.911881.560474.982286e-07
1.920181.5603545.093835e-07
1.928531.5602385.205869e-07
1.93691.560125.318389e-07
1.945321.5600025.431398e-07
1.953771.5598835.544898e-07
1.962261.5597635.658891e-07
1.970781.5596425.773380e-07
1.979341.559525.888365e-07
1.987941.5593966.003851e-07
1.996581.5592726.119838e-07
21.5592236.165800e-07
2.005251.5591476.591533e-07
2.013961.5590217.297765e-07
2.022711.5588948.007065e-07
2.03151.5587668.719447e-07
2.040321.5586379.434923e-07
2.049191.5585071.015351e-06
2.058091.5583761.087521e-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
—