Optical constants

Refractive index of Q-PSKH4S (HIKARI)

Q-PSKH4S: 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
1.59245
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.53589
Permittivity ε2
7.11762e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
66.924
Chromatic dispersion dn/dλ
-0.0459054 µm⁻¹
Group index ng
1.61942
Group velocity dispersion
78.0582 fs²/mm
Dispersion parameter D
-425.849 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

# Q-PSKH4S (HIKARI): Q-PSKH4S
hikari_q_pskh4s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-PSKH4S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_pskh4s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_pskh4s.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=2.50116352−0.0100351892⁢λ2.0−0.000118900724⁢λ4.0+0.0127884411⁢λ−2.0+0.000128777777⁢λ−4.0+3.72070629×10-6⁢λ−6.0−3.09763293×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.50116352
C2-0.0100351892
C32.0
C4-0.000118900724
C54.0
C60.0127884411
C7-2.0
C80.000128777777
C9-4.0
C103.72070629e-06
C11-6.0
C12-3.09763293e-08
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -7.3716465e-06 6.45175e-09 1.23959e-12 4.13446e-07 4.33952e-10 0.173535
nd
1.592450
Vd
66.923806
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
Q-PSKH4S (HIKARI), Q-PSKH4S: n and k versus wavelength
λ (µm)nk
0.3650151.6138589.739923e-08
0.3666011.6135479.012938e-08
0.3681931.613248.282795e-08
0.3697931.6129367.549480e-08
0.371.6128977.454500e-08
0.3713991.6126347.136916e-08
0.3730131.6123366.770729e-08
0.3746331.612046.402950e-08
0.3762611.6117486.033574e-08
0.3778951.6114585.662593e-08
0.3795371.6111715.290001e-08
0.381.6110915.184900e-08
0.3811861.6108875.014382e-08
0.3828421.6106064.776239e-08
0.3845051.6103284.537060e-08
0.3861751.6100524.296843e-08
0.3878531.6097794.055583e-08
0.3895381.6095083.813274e-08
0.391.6094353.746800e-08
0.391231.609243.639912e-08
0.392931.6089753.492217e-08
0.3946371.6087123.343881e-08
0.3963511.6084523.194900e-08
0.3980731.6081943.045272e-08
0.3998021.6079392.894994e-08
0.41.607912.877800e-08
0.4015391.6076862.862934e-08
0.4032831.6074362.846083e-08
0.4050351.6071872.829159e-08
0.4067951.6069422.812161e-08
0.4085621.6066982.795090e-08
0.4103371.6064572.777945e-08
0.412121.6062192.760725e-08
0.413911.6059822.743430e-08
0.4157081.6057482.726060e-08
0.4175141.6055162.708615e-08
0.4193281.6052862.691094e-08
0.421.6052012.684600e-08
0.4211491.6050582.691945e-08
0.4229791.6048322.703636e-08
0.4248171.6046092.715377e-08
0.4266621.6043872.727170e-08
0.4285161.6041682.739014e-08
0.4303771.603952.750910e-08
0.4322471.6037352.762857e-08
0.4341251.6035212.774856e-08
0.436011.603312.786907e-08
0.4379051.6031012.799010e-08
0.4398071.6028932.811167e-08
0.441.6028722.812400e-08
0.4417181.6026872.823375e-08
0.4436371.6024832.835637e-08
0.4455641.6022822.847953e-08
0.4474991.6020812.860321e-08
0.4494431.6018832.872744e-08
0.4513961.6016872.885220e-08
0.4533571.6014922.897751e-08
0.4553261.6012992.910336e-08
0.4573041.6011082.922975e-08
0.4592911.6009182.935670e-08
0.461.6008512.940200e-08
0.4612861.6007312.898940e-08
0.463291.6005442.834664e-08
0.4653031.600362.770109e-08
0.4673241.6001772.705273e-08
0.4693541.5999962.640155e-08
0.4713931.5998162.574755e-08
0.4734411.5996392.509070e-08
0.4754981.5994622.443100e-08
0.4775641.5992872.376844e-08
0.4796381.5991142.310299e-08
0.481.5990842.298700e-08
0.4817221.5989422.272499e-08
0.4838151.5987722.240659e-08
0.4859171.5986032.208680e-08
0.4880271.5984362.176562e-08
0.4901481.598272.144304e-08
0.4922771.5981062.111907e-08
0.4944151.5979432.079369e-08
0.4965631.5977812.046689e-08
0.4987211.5976212.013867e-08
0.51.5975271.994400e-08
0.5008871.5974621.990138e-08
0.5030631.5973051.979685e-08
0.5052481.5971481.969186e-08
0.5074431.5969941.958642e-08
0.5096481.596841.948052e-08
0.5118621.5966881.937416e-08
0.5140861.5965371.926733e-08
0.5163191.5963881.916004e-08
0.5185621.5962391.905229e-08
0.5208151.5960921.894407e-08
0.5230771.5959461.883537e-08
0.5253491.5958021.872621e-08
0.5276321.5956581.861657e-08
0.5299241.5955161.850646e-08
0.5322261.5953751.839586e-08
0.5345381.5952351.828479e-08
0.536861.5950971.817323e-08
0.5391931.5949591.806119e-08
0.5415351.5948231.794866e-08
0.5438871.5946871.783565e-08
0.546251.5945531.772214e-08
0.5486231.594421.760814e-08
0.551.5943431.754200e-08
0.5510071.5942881.767067e-08
0.55341.5941571.797663e-08
0.5558041.5940271.828392e-08
0.5582191.5938981.859255e-08
0.5606441.593771.890252e-08
0.563081.5936431.921383e-08
0.5655261.5935181.952650e-08
0.5679821.5933931.984052e-08
0.570451.5932692.015591e-08
0.5729281.5931462.047267e-08
0.5754171.5930242.079081e-08
0.5779171.5929032.111032e-08
0.5804271.5927832.143123e-08
0.5829491.5926642.175353e-08
0.5854811.5925462.207723e-08
0.5880251.5924292.240234e-08
0.5905791.5923122.272885e-08
0.5931451.5921972.305679e-08
0.5957221.5920822.338615e-08
0.598311.5919692.371695e-08
0.61.5918952.393300e-08
0.6009091.5918562.415844e-08
0.6035191.5917442.480595e-08
0.6061411.5916332.545627e-08
0.6087741.5915232.610941e-08
0.6114191.5914132.676539e-08
0.6140751.5913042.742422e-08
0.6167431.5911972.808591e-08
0.6194221.5910892.875048e-08
0.6221131.5909832.941794e-08
0.6248161.5908783.008829e-08
0.627531.5907733.076156e-08
0.6302561.5906693.143775e-08
0.6329941.5905663.211688e-08
0.6357441.5904633.279896e-08
0.6385061.5903613.348400e-08
0.641281.590263.417202e-08
0.6440661.590163.486302e-08
0.6468641.590063.555703e-08
0.6496741.5899613.625406e-08
0.651.589953.633500e-08
0.6524961.5898633.647453e-08
0.6553311.5897653.663298e-08
0.6581781.5896693.679212e-08
0.6610371.5895723.695196e-08
0.6639081.5894773.711248e-08
0.6667931.5893823.727371e-08
0.6696891.5892873.743563e-08
0.6725991.5891943.759826e-08
0.6755211.5891013.776160e-08
0.6784551.5890083.792565e-08
0.6814031.5889163.809040e-08
0.6843631.5888253.825588e-08
0.6873361.5887343.842207e-08
0.6903221.5886443.858898e-08
0.6933211.5885553.875662e-08
0.6963331.5884663.892499e-08
0.6993581.5883783.909409e-08
0.71.5883593.913000e-08
0.7023961.588293.957142e-08
0.7054471.5882024.013364e-08
0.7085121.5881164.069830e-08
0.711591.5880294.126541e-08
0.7146811.5879444.183498e-08
0.7177861.5878594.240703e-08
0.7209041.5877744.298156e-08
0.7240361.587694.355859e-08
0.7271811.5876064.413813e-08
0.730341.5875234.472018e-08
0.7335131.587444.530477e-08
0.73671.5873584.589189e-08
0.73991.5872764.648156e-08
0.7431141.5871954.707379e-08
0.7463421.5871144.766860e-08
0.7495851.5870344.826599e-08
0.7528411.5869544.886598e-08
0.7561121.5868744.946857e-08
0.7593961.5867955.007378e-08
0.7626951.5867175.068162e-08
0.7660091.5866385.129210e-08
0.7693361.586565.190524e-08
0.7726791.5864835.252103e-08
0.7760351.5864065.313950e-08
0.7794071.5863295.376066e-08
0.7827931.5862535.438452e-08
0.7861931.5861775.501109e-08
0.7896091.5861025.564037e-08
0.7930391.5860265.627240e-08
0.7964841.5859525.690716e-08
0.7999441.5858775.754469e-08
0.81.5858765.755500e-08
0.8034191.5858035.632283e-08
0.8069091.5857295.506505e-08
0.8104151.5856565.380181e-08
0.8139351.5855835.253308e-08
0.8174711.585515.125883e-08
0.8210231.5854384.997906e-08
0.8245891.5853654.869372e-08
0.8281721.5852944.740280e-08
0.8317691.5852224.610627e-08
0.8353831.5851514.480411e-08
0.8390121.585084.349629e-08
0.8426571.5850094.218279e-08
0.8463171.5849394.086359e-08
0.8499941.5848683.953865e-08
0.8536871.5847993.820796e-08
0.8573951.5847293.687148e-08
0.861121.584663.552920e-08
0.8648611.584593.418109e-08
0.8686181.5845223.282713e-08
0.8723911.5844533.146728e-08
0.8761811.5843853.010152e-08
0.8799881.5843162.872983e-08
0.8838111.5842482.735218e-08
0.887651.5841812.596855e-08
0.8915061.5841132.457890e-08
0.8953791.5840462.318322e-08
0.8992691.5839792.178148e-08
0.91.5839662.151800e-08
0.9031751.5839122.184752e-08
0.9070991.5838452.225467e-08
0.911041.5837782.266360e-08
0.9149981.5837122.307429e-08
0.9189721.5836462.348678e-08
0.9229651.583582.390105e-08
0.9269741.5835142.431712e-08
0.9310011.5834482.473500e-08
0.9350461.5833822.515470e-08
0.9391081.5833172.557622e-08
0.9431881.5832522.599957e-08
0.9472851.5831862.642476e-08
0.95141.5831212.685180e-08
0.9555331.5830562.728069e-08
0.9596841.5829922.771145e-08
0.9638531.5829272.814407e-08
0.9680411.5828622.857858e-08
0.9722461.5827982.901497e-08
0.976471.5827332.945326e-08
0.9807121.5826692.989346e-08
0.9849721.5826053.033556e-08
0.9892511.5825413.077959e-08
0.9935491.5824773.122554e-08
0.9978651.5824133.167344e-08
11.5823813.189500e-08
1.00221.5823493.175446e-08
1.006551.5822853.147632e-08
1.010931.5822213.119697e-08
1.015321.5821573.091641e-08
1.019731.5820943.063463e-08
1.024161.582033.035162e-08
1.028611.5819663.006738e-08
1.033081.5819032.978191e-08
1.037561.5818392.949520e-08
1.042071.5817762.920724e-08
1.04661.5817122.891804e-08
1.051151.5816492.862757e-08
1.055711.5815852.833585e-08
1.06031.5815222.804285e-08
1.06491.5814582.774859e-08
1.069531.5813952.745304e-08
1.074181.5813312.715621e-08
1.078841.5812682.685810e-08
1.083531.5812042.655868e-08
1.088241.581142.625797e-08
1.092961.5810772.595595e-08
1.097711.5810132.565262e-08
1.102481.5809492.534797e-08
1.107271.5808862.504200e-08
1.112081.5808222.473469e-08
1.116911.5807582.442606e-08
1.121761.5806942.411608e-08
1.126641.580632.380475e-08
1.131531.5805662.349208e-08
1.136451.5805022.317804e-08
1.141381.5804372.286264e-08
1.146341.5803732.254587e-08
1.151321.5803092.222772e-08
1.156321.5802442.190819e-08
1.161351.5801792.158728e-08
1.166391.5801152.126497e-08
1.171461.580052.094126e-08
1.176551.5799852.061614e-08
1.181661.5799192.028961e-08
1.186791.5798541.996166e-08
1.191951.5797891.963229e-08
1.197131.5797231.930149e-08
1.21.5796871.911800e-08
1.202331.5796571.954558e-08
1.207551.5795922.050471e-08
1.21281.5795262.146801e-08
1.218071.5794592.243550e-08
1.223361.5793932.340719e-08
1.228671.5793262.438310e-08
1.234011.579262.536325e-08
1.239371.5791932.634766e-08
1.244751.5791262.733635e-08
1.250161.5790582.832933e-08
1.255591.5789912.932662e-08
1.261051.5789233.032825e-08
1.266531.5788553.133423e-08
1.272031.5787873.234457e-08
1.277551.5787193.335931e-08
1.28311.578653.437846e-08
1.288681.5785813.540203e-08
1.294281.5785123.643005e-08
1.29991.5784433.746254e-08
1.305551.5783733.849951e-08
1.311221.5783033.954098e-08
1.316911.5782334.058698e-08
1.322641.5781634.163753e-08
1.328381.5780924.269263e-08
1.334151.5780214.375233e-08
1.339951.577954.481662e-08
1.345771.5778784.588554e-08
1.351621.5778064.695910e-08
1.357491.5777344.803733e-08
1.363381.5776624.912024e-08
1.369311.5775895.020785e-08
1.375261.5775165.130019e-08
1.381231.5774425.239728e-08
1.387231.5773695.349913e-08
1.393261.5772955.460577e-08
1.399311.577225.571721e-08
1.41.5772125.584400e-08
1.405391.5771455.917586e-08
1.411491.577076.295097e-08
1.417631.5769956.674248e-08
1.423781.5769197.055047e-08
1.429971.5768427.437499e-08
1.436181.5767667.821614e-08
1.442421.5766888.207396e-08
1.448691.5766118.594855e-08
1.454981.5765338.983997e-08
1.46131.5764559.374830e-08
1.467651.5763769.767360e-08
1.474031.5762971.016160e-07
1.480431.5762171.055754e-07
1.486861.5761371.095521e-07
1.493321.5760571.135461e-07
1.499811.5759761.175574e-07
1.506321.5758941.215861e-07
1.512871.5758121.256324e-07
1.519441.575731.296962e-07
1.526041.5756471.337776e-07
1.532671.5755641.378768e-07
1.539331.575481.419939e-07
1.546011.5753961.461287e-07
1.552731.5753111.502816e-07
1.559481.5752261.544525e-07
1.566251.575141.586415e-07
1.573051.5750531.628487e-07
1.579891.5749661.670742e-07
1.586751.5748791.713181e-07
1.593641.5747911.755804e-07
1.61.5747091.795100e-07
1.600571.5747021.803231e-07
1.607521.5746131.902784e-07
1.61451.5745232.002770e-07
1.621521.5744332.103190e-07
1.628561.5743422.204046e-07
1.635641.574252.305340e-07
1.642741.5741582.407074e-07
1.649881.5740652.509251e-07
1.657051.5739722.611871e-07
1.664251.5738782.714937e-07
1.671481.5737832.818450e-07
1.678741.5736882.922414e-07
1.686031.5735923.026829e-07
1.693351.5734953.131697e-07
1.700711.5733983.237022e-07
1.70811.5732993.342803e-07
1.715521.5732013.449045e-07
1.722971.5731013.555748e-07
1.730461.5730013.662914e-07
1.737971.57293.770546e-07
1.745521.5727993.878645e-07
1.753111.5726963.987214e-07
1.760721.5725934.096255e-07
1.768371.5724894.205770e-07
1.776051.5723854.315760e-07
1.783771.5722794.426228e-07
1.791521.5721734.537176e-07
1.79931.5720664.648606e-07
1.81.5720564.658600e-07
1.807121.5719584.813247e-07
1.814971.5718494.983796e-07
1.822851.571745.155086e-07
1.830771.571635.327120e-07
1.838731.5715185.499902e-07
1.846711.5714065.673434e-07
1.854741.5712945.847720e-07
1.862791.571186.022763e-07
1.870891.5710656.198567e-07
1.879011.570956.375134e-07
1.887181.5708336.552469e-07
1.895371.5707166.730574e-07
1.903611.5705976.909452e-07
1.911881.5704787.089108e-07
1.920181.5703587.269544e-07
1.928531.5702377.450764e-07
1.93691.5701157.632771e-07
1.945321.5699927.815569e-07
1.953771.5698677.999161e-07
1.962261.5697428.183550e-07
1.970781.5696168.368741e-07
1.979341.5694898.554736e-07
1.987941.5693618.741539e-07
1.996581.5692318.929153e-07
21.569189.003500e-07
2.005251.5691019.407264e-07
2.013961.5689691.007705e-06
2.022711.5688371.074975e-06
2.03151.5687031.142537e-06
2.040321.5685681.210393e-06
2.049191.5684321.278543e-06
2.058091.5682951.346989e-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
—