Optical constants

Refractive index of J-PSKH4 (HIKARI)

J-PSKH4: 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
1.59349
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.5392
Permittivity ε2
7.12227e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
67.001
Chromatic dispersion dn/dλ
-0.0459345 µm⁻¹
Group index ng
1.62048
Group velocity dispersion
78.0632 fs²/mm
Dispersion parameter D
-425.876 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-PSKH4 (HIKARI): J-PSKH4
hikari_j_pskh4 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-PSKH4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_pskh4.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_pskh4.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=2.50453078−0.0101597822⁢λ2.0−0.000108653142⁢λ4.0+0.0127723327⁢λ−2.0+0.000133860625⁢λ−4.0+3.37285381×10-6⁢λ−6.0−2.56491019×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.50453078
C2-0.0101597822
C32.0
C4-0.000108653142
C54.0
C60.0127723327
C7-2.0
C80.000133860625
C9-4.0
C103.37285381e-06
C11-6.0
C12-2.56491019e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -7.36054e-06 6.44191e-09 1.23774e-12 4.12817e-07 4.3337e-10 0.173521
nd
1.593490
Vd
67.001281
density
value: 3280
thermal expansion
value: 9e-06, temperature range: 243 343
dPgF
0.0038
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -3.01e-06 K⁻¹ at 633 nm, dn/dT = -3.37e-06 K⁻¹ at 1310 nm, dn/dT = -3.38e-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-PSKH4 (HIKARI), J-PSKH4: n and k versus wavelength
λ (µm)nk
0.3650151.6149079.739923e-08
0.3666011.6145969.012938e-08
0.3681931.6142898.282795e-08
0.3697931.6139847.549480e-08
0.371.6139457.454500e-08
0.3713991.6136837.136916e-08
0.3730131.6133846.770729e-08
0.3746331.6130896.402950e-08
0.3762611.6127966.033574e-08
0.3778951.6125075.662593e-08
0.3795371.612225.290001e-08
0.381.6121395.184900e-08
0.3811861.6119355.014382e-08
0.3828421.6116544.776239e-08
0.3845051.6113764.537060e-08
0.3861751.61114.296843e-08
0.3878531.6108264.055583e-08
0.3895381.6105563.813274e-08
0.391.6104823.746800e-08
0.391231.6102883.639912e-08
0.392931.6100223.492217e-08
0.3946371.609763.343881e-08
0.3963511.6094993.194900e-08
0.3980731.6092413.045272e-08
0.3998021.6089862.894994e-08
0.41.6089572.877800e-08
0.4015391.6087332.862934e-08
0.4032831.6084832.846083e-08
0.4050351.6082342.829159e-08
0.4067951.6079892.812161e-08
0.4085621.6077452.795090e-08
0.4103371.6075042.777945e-08
0.412121.6072652.760725e-08
0.413911.6070282.743430e-08
0.4157081.6067942.726060e-08
0.4175141.6065622.708615e-08
0.4193281.6063322.691094e-08
0.421.6062472.684600e-08
0.4211491.6061042.691945e-08
0.4229791.6058782.703636e-08
0.4248171.6056552.715377e-08
0.4266621.6054332.727170e-08
0.4285161.6052132.739014e-08
0.4303771.6049962.750910e-08
0.4322471.604782.762857e-08
0.4341251.6045672.774856e-08
0.436011.6043552.786907e-08
0.4379051.6041462.799010e-08
0.4398071.6039382.811167e-08
0.441.6039172.812400e-08
0.4417181.6037322.823375e-08
0.4436371.6035292.835637e-08
0.4455641.6033272.847953e-08
0.4474991.6031262.860321e-08
0.4494431.6029282.872744e-08
0.4513961.6027312.885220e-08
0.4533571.6025372.897751e-08
0.4553261.6023442.910336e-08
0.4573041.6021522.922975e-08
0.4592911.6019632.935670e-08
0.461.6018962.940200e-08
0.4612861.6017752.898940e-08
0.463291.6015892.834664e-08
0.4653031.6014042.770109e-08
0.4673241.6012212.705273e-08
0.4693541.601042.640155e-08
0.4713931.600862.574755e-08
0.4734411.6006822.509070e-08
0.4754981.6005062.443100e-08
0.4775641.6003312.376844e-08
0.4796381.6001572.310299e-08
0.481.6001272.298700e-08
0.4817221.5999862.272499e-08
0.4838151.5998152.240659e-08
0.4859171.5996462.208680e-08
0.4880271.5994792.176562e-08
0.4901481.5993132.144304e-08
0.4922771.5991492.111907e-08
0.4944151.5989862.079369e-08
0.4965631.5988242.046689e-08
0.4987211.5986642.013867e-08
0.51.5985691.994400e-08
0.5008871.5985051.990138e-08
0.5030631.5983471.979685e-08
0.5052481.5981911.969186e-08
0.5074431.5980361.958642e-08
0.5096481.5978831.948052e-08
0.5118621.597731.937416e-08
0.5140861.5975791.926733e-08
0.5163191.597431.916004e-08
0.5185621.5972811.905229e-08
0.5208151.5971341.894407e-08
0.5230771.5969881.883537e-08
0.5253491.5968441.872621e-08
0.5276321.59671.861657e-08
0.5299241.5965581.850646e-08
0.5322261.5964171.839586e-08
0.5345381.5962771.828479e-08
0.536861.5961381.817323e-08
0.5391931.5961.806119e-08
0.5415351.5958641.794866e-08
0.5438871.5957291.783565e-08
0.546251.5955941.772214e-08
0.5486231.5954611.760814e-08
0.551.5953851.754200e-08
0.5510071.5953291.767067e-08
0.55341.5951981.797663e-08
0.5558041.5950681.828392e-08
0.5582191.5949391.859255e-08
0.5606441.5948111.890252e-08
0.563081.5946841.921383e-08
0.5655261.5945581.952650e-08
0.5679821.5944331.984052e-08
0.570451.5943092.015591e-08
0.5729281.5941862.047267e-08
0.5754171.5940642.079081e-08
0.5779171.5939432.111032e-08
0.5804271.5938232.143123e-08
0.5829491.5937042.175353e-08
0.5854811.5935862.207723e-08
0.5880251.5934692.240234e-08
0.5905791.5933522.272885e-08
0.5931451.5932372.305679e-08
0.5957221.5931222.338615e-08
0.598311.5930082.371695e-08
0.61.5929352.393300e-08
0.6009091.5928962.415844e-08
0.6035191.5927832.480595e-08
0.6061411.5926722.545627e-08
0.6087741.5925622.610941e-08
0.6114191.5924522.676539e-08
0.6140751.5923442.742422e-08
0.6167431.5922362.808591e-08
0.6194221.5921282.875048e-08
0.6221131.5920222.941794e-08
0.6248161.5919173.008829e-08
0.627531.5918123.076156e-08
0.6302561.5917083.143775e-08
0.6329941.5916043.211688e-08
0.6357441.5915023.279896e-08
0.6385061.59143.348400e-08
0.641281.5912993.417202e-08
0.6440661.5911983.486302e-08
0.6468641.5910993.555703e-08
0.6496741.5913.625406e-08
0.651.5909883.633500e-08
0.6524961.5909013.647453e-08
0.6553311.5908033.663298e-08
0.6581781.5907063.679212e-08
0.6610371.590613.695196e-08
0.6639081.5905143.711248e-08
0.6667931.5904193.727371e-08
0.6696891.5903253.743563e-08
0.6725991.5902313.759826e-08
0.6755211.5901383.776160e-08
0.6784551.5900463.792565e-08
0.6814031.5899543.809040e-08
0.6843631.5898623.825588e-08
0.6873361.5897713.842207e-08
0.6903221.5896813.858898e-08
0.6933211.5895923.875662e-08
0.6963331.5895033.892499e-08
0.6993581.5894143.909409e-08
0.71.5893963.913000e-08
0.7023961.5893263.957142e-08
0.7054471.5892394.013364e-08
0.7085121.5891524.069830e-08
0.711591.5890664.126541e-08
0.7146811.588984.183498e-08
0.7177861.5888954.240703e-08
0.7209041.588814.298156e-08
0.7240361.5887264.355859e-08
0.7271811.5886424.413813e-08
0.730341.5885594.472018e-08
0.7335131.5884764.530477e-08
0.73671.5883934.589189e-08
0.73991.5883124.648156e-08
0.7431141.588234.707379e-08
0.7463421.5881494.766860e-08
0.7495851.5880694.826599e-08
0.7528411.5879894.886598e-08
0.7561121.5879094.946857e-08
0.7593961.587835.007378e-08
0.7626951.5877515.068162e-08
0.7660091.5876735.129210e-08
0.7693361.5875955.190524e-08
0.7726791.5875175.252103e-08
0.7760351.587445.313950e-08
0.7794071.5873635.376066e-08
0.7827931.5872875.438452e-08
0.7861931.5872115.501109e-08
0.7896091.5871355.564037e-08
0.7930391.587065.627240e-08
0.7964841.5869855.690716e-08
0.7999441.586915.754469e-08
0.81.5869095.755500e-08
0.8034191.5868365.632283e-08
0.8069091.5867625.506505e-08
0.8104151.5866895.380181e-08
0.8139351.5866155.253308e-08
0.8174711.5865425.125883e-08
0.8210231.586474.997906e-08
0.8245891.5863974.869372e-08
0.8281721.5863254.740280e-08
0.8317691.5862544.610627e-08
0.8353831.5861824.480411e-08
0.8390121.5861114.349629e-08
0.8426571.586044.218279e-08
0.8463171.585974.086359e-08
0.8499941.58593.953865e-08
0.8536871.5858293.820796e-08
0.8573951.585763.687148e-08
0.861121.585693.552920e-08
0.8648611.5856213.418109e-08
0.8686181.5855523.282713e-08
0.8723911.5854833.146728e-08
0.8761811.5854143.010152e-08
0.8799881.5853462.872983e-08
0.8838111.5852782.735218e-08
0.887651.585212.596855e-08
0.8915061.5851422.457890e-08
0.8953791.5850752.318322e-08
0.8992691.5850072.178148e-08
0.91.5849952.151800e-08
0.9031751.584942.184752e-08
0.9070991.5848732.225467e-08
0.911041.5848072.266360e-08
0.9149981.584742.307429e-08
0.9189721.5846742.348678e-08
0.9229651.5846072.390105e-08
0.9269741.5845412.431712e-08
0.9310011.5844752.473500e-08
0.9350461.584412.515470e-08
0.9391081.5843442.557622e-08
0.9431881.5842782.599957e-08
0.9472851.5842132.642476e-08
0.95141.5841482.685180e-08
0.9555331.5840832.728069e-08
0.9596841.5840182.771145e-08
0.9638531.5839532.814407e-08
0.9680411.5838882.857858e-08
0.9722461.5838232.901497e-08
0.976471.5837592.945326e-08
0.9807121.5836942.989346e-08
0.9849721.583633.033556e-08
0.9892511.5835653.077959e-08
0.9935491.5835013.122554e-08
0.9978651.5834373.167344e-08
11.5834053.189500e-08
1.00221.5833733.175446e-08
1.006551.5833093.147632e-08
1.010931.5832453.119697e-08
1.015321.5831813.091641e-08
1.019731.5831173.063463e-08
1.024161.5830533.035162e-08
1.028611.5829893.006738e-08
1.033081.5829252.978191e-08
1.037561.5828612.949520e-08
1.042071.5827982.920724e-08
1.04661.5827342.891804e-08
1.051151.582672.862757e-08
1.055711.5826062.833585e-08
1.06031.5825422.804285e-08
1.06491.5824792.774859e-08
1.069531.5824152.745304e-08
1.074181.5823512.715621e-08
1.078841.5822872.685810e-08
1.083531.5822242.655868e-08
1.088241.582162.625797e-08
1.092961.5820962.595595e-08
1.097711.5820322.565262e-08
1.102481.5819682.534797e-08
1.107271.5819042.504200e-08
1.112081.581842.473469e-08
1.116911.5817752.442606e-08
1.121761.5817112.411608e-08
1.126641.5816472.380475e-08
1.131531.5815832.349208e-08
1.136451.5815182.317804e-08
1.141381.5814532.286264e-08
1.146341.5813892.254587e-08
1.151321.5813242.222772e-08
1.156321.5812592.190819e-08
1.161351.5811942.158728e-08
1.166391.5811292.126497e-08
1.171461.5810642.094126e-08
1.176551.5809992.061614e-08
1.181661.5809332.028961e-08
1.186791.5808681.996166e-08
1.191951.5808021.963229e-08
1.197131.5807361.930149e-08
1.21.5806991.911800e-08
1.202331.580671.954558e-08
1.207551.5806042.050471e-08
1.21281.5805372.146801e-08
1.218071.5804712.243550e-08
1.223361.5804042.340719e-08
1.228671.5803372.438310e-08
1.234011.580272.536325e-08
1.239371.5802032.634766e-08
1.244751.5801362.733635e-08
1.250161.5800682.832933e-08
1.255591.582.932662e-08
1.261051.5799323.032825e-08
1.266531.5798643.133423e-08
1.272031.5797953.234457e-08
1.277551.5797263.335931e-08
1.28311.5796573.437846e-08
1.288681.5795883.540203e-08
1.294281.5795193.643005e-08
1.29991.5794493.746254e-08
1.305551.5793793.849951e-08
1.311221.5793093.954098e-08
1.316911.5792384.058698e-08
1.322641.5791684.163753e-08
1.328381.5790974.269263e-08
1.334151.5790254.375233e-08
1.339951.5789544.481662e-08
1.345771.5788824.588554e-08
1.351621.578814.695910e-08
1.357491.5787374.803733e-08
1.363381.5786644.912024e-08
1.369311.5785915.020785e-08
1.375261.5785185.130019e-08
1.381231.5784445.239728e-08
1.387231.578375.349913e-08
1.393261.5782955.460577e-08
1.399311.578225.571721e-08
1.41.5782125.584400e-08
1.405391.5781455.917586e-08
1.411491.5780696.295097e-08
1.417631.5779936.674248e-08
1.423781.5779177.055047e-08
1.429971.577847.437499e-08
1.436181.5777637.821614e-08
1.442421.5776868.207396e-08
1.448691.5776088.594855e-08
1.454981.577538.983997e-08
1.46131.5774519.374830e-08
1.467651.5773729.767360e-08
1.474031.5772921.016160e-07
1.480431.5772121.055754e-07
1.486861.5771321.095521e-07
1.493321.5770511.135461e-07
1.499811.5769691.175574e-07
1.506321.5768871.215861e-07
1.512871.5768051.256324e-07
1.519441.5767221.296962e-07
1.526041.5766391.337776e-07
1.532671.5765551.378768e-07
1.539331.5764711.419939e-07
1.546011.5763861.461287e-07
1.552731.5763011.502816e-07
1.559481.5762151.544525e-07
1.566251.5761291.586415e-07
1.573051.5760421.628487e-07
1.579891.5759551.670742e-07
1.586751.5758671.713181e-07
1.593641.5757781.755804e-07
1.61.5756971.795100e-07
1.600571.5756891.803231e-07
1.607521.57561.902784e-07
1.61451.5755092.002770e-07
1.621521.5754192.103190e-07
1.628561.5753272.204046e-07
1.635641.5752352.305340e-07
1.642741.5751422.407074e-07
1.649881.5750492.509251e-07
1.657051.5749552.611871e-07
1.664251.5748612.714937e-07
1.671481.5747662.818450e-07
1.678741.574672.922414e-07
1.686031.5745733.026829e-07
1.693351.5744763.131697e-07
1.700711.5743783.237022e-07
1.70811.574283.342803e-07
1.715521.5741813.449045e-07
1.722971.5740813.555748e-07
1.730461.573983.662914e-07
1.737971.5738793.770546e-07
1.745521.5737773.878645e-07
1.753111.5736743.987214e-07
1.760721.573574.096255e-07
1.768371.5734664.205770e-07
1.776051.5733614.315760e-07
1.783771.5732554.426228e-07
1.791521.5731484.537176e-07
1.79931.5730414.648606e-07
1.81.5730314.658600e-07
1.807121.5729334.813247e-07
1.814971.5728244.983796e-07
1.822851.5727145.155086e-07
1.830771.5726035.327120e-07
1.838731.5724915.499902e-07
1.846711.5723795.673434e-07
1.854741.5722665.847720e-07
1.862791.5721516.022763e-07
1.870891.5720366.198567e-07
1.879011.571926.375134e-07
1.887181.5718036.552469e-07
1.895371.5716866.730574e-07
1.903611.5715676.909452e-07
1.911881.5714477.089108e-07
1.920181.5713277.269544e-07
1.928531.5712057.450764e-07
1.93691.5710827.632771e-07
1.945321.5709597.815569e-07
1.953771.5708347.999161e-07
1.962261.5707098.183550e-07
1.970781.5705828.368741e-07
1.979341.5704558.554736e-07
1.987941.5703268.741539e-07
1.996581.5701968.929153e-07
21.5701459.003500e-07
2.005251.5700669.407264e-07
2.013961.5699341.007705e-06
2.022711.5698011.074975e-06
2.03151.5696671.142537e-06
2.040321.5695321.210393e-06
2.049191.5693951.278543e-06
2.058091.5692581.346989e-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
—