Optical constants

Refractive index of Q-PSKH2S (HIKARI)

Q-PSKH2S: 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
1.61875
Extinction coefficient k
4.37110e-08
Permittivity ε1
2.62035
Permittivity ε2
1.41514e-07
Absorption coefficient α
0.009348 cm⁻¹
Penetration depth δ = λ/(2πk)
2.13950e+09 nm
Abbe number Vd
63.733
Chromatic dispersion dn/dλ
-0.0502008 µm⁻¹
Group index ng
1.64825
Group velocity dispersion
87.4001 fs²/mm
Dispersion parameter D
-476.814 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-PSKH2S (HIKARI): Q-PSKH2S
hikari_q_pskh2s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-PSKH2S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_pskh2s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_pskh2s.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=2.58079919−0.00946942822⁢λ2.0−8.88975012×10-5⁢λ4.0+0.0142435389⁢λ−2.0+0.000181224951⁢λ−4.0+1.94681195×10-6⁢λ−6.0+8.51820873×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.58079919
C2-0.00946942822
C32.0
C4-8.88975012e-05
C54.0
C60.0142435389
C7-2.0
C80.000181224951
C9-4.0
C101.94681195e-06
C11-6.0
C128.51820873e-08
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -8.4418e-06 7.681e-09 -1.21e-12 4.5981e-07 5.1474e-10 0.17414
nd
1.618750
Vd
63.733391
density
value: 3520
thermal expansion
value: 9.3e-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 = -3.59e-06 K⁻¹ at 633 nm, dn/dT = -4.00e-06 K⁻¹ at 1310 nm, dn/dT = -4.03e-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-PSKH2S (HIKARI), Q-PSKH2S: n and k versus wavelength
λ (µm)nk
0.3650151.6424811.397344e-07
0.3666011.6421341.296239e-07
0.3681931.641791.194695e-07
0.3697931.641451.092709e-07
0.371.6414071.079500e-07
0.3713991.6411141.022575e-07
0.3730131.640789.569387e-08
0.3746331.6404518.910170e-08
0.3762611.6401248.248089e-08
0.3778951.6398017.583132e-08
0.3795371.6394816.915286e-08
0.381.6393916.726900e-08
0.3811861.6391646.560236e-08
0.3828421.638856.327474e-08
0.3845051.6385396.093701e-08
0.3861751.6382325.858913e-08
0.3878531.6379275.623104e-08
0.3895381.6376255.386271e-08
0.391.6375435.321300e-08
0.391231.6373275.298274e-08
0.392931.6370315.266458e-08
0.3946371.6367385.234503e-08
0.3963511.6364485.202410e-08
0.3980731.6361615.170177e-08
0.3998021.6358775.137804e-08
0.41.6358455.134100e-08
0.4015391.6355965.232387e-08
0.4032831.6353175.343791e-08
0.4050351.6350415.455680e-08
0.4067951.6347675.568055e-08
0.4085621.6344965.680918e-08
0.4103371.6342285.794271e-08
0.412121.6339635.908117e-08
0.413911.6336996.022457e-08
0.4157081.6334396.137294e-08
0.4175141.6331816.252630e-08
0.4193281.6329256.368467e-08
0.421.6328316.411400e-08
0.4211491.6326726.428946e-08
0.4229791.6324216.456874e-08
0.4248171.6321736.484924e-08
0.4266621.6319276.513096e-08
0.4285161.6316836.541390e-08
0.4303771.6314426.569806e-08
0.4322471.6312036.598347e-08
0.4341251.6309666.627011e-08
0.436011.6307316.655800e-08
0.4379051.6304986.684714e-08
0.4398071.6302686.713753e-08
0.441.6302456.716700e-08
0.4417181.630046.614993e-08
0.4436371.6298146.501364e-08
0.4455641.629596.387241e-08
0.4474991.6293686.272622e-08
0.4494431.6291486.157506e-08
0.4513961.6289316.041889e-08
0.4533571.6287155.925770e-08
0.4553261.6285015.809147e-08
0.4573041.6282895.692017e-08
0.4592911.6280795.574379e-08
0.461.6280055.532400e-08
0.4612861.6278715.473164e-08
0.463291.6276655.380882e-08
0.4653031.6274615.288200e-08
0.4673241.6272595.195115e-08
0.4693541.6270585.101626e-08
0.4713931.626865.007731e-08
0.4734411.6266634.913428e-08
0.4754981.6264684.818715e-08
0.4775641.6262744.723591e-08
0.4796381.6260834.628053e-08
0.481.6260494.611400e-08
0.4817221.6258934.558663e-08
0.4838151.6257054.494573e-08
0.4859171.6255184.430206e-08
0.4880271.6253334.365558e-08
0.4901481.625154.300630e-08
0.4922771.6249684.235420e-08
0.4944151.6247884.169926e-08
0.4965631.624614.104148e-08
0.4987211.6244334.038084e-08
0.51.624333.998900e-08
0.5008871.6242583.982500e-08
0.5030631.6240843.942270e-08
0.5052481.6239123.901866e-08
0.5074431.6237423.861287e-08
0.5096481.6235723.820531e-08
0.5118621.6234053.779598e-08
0.5140861.6232383.738487e-08
0.5163191.6230743.697198e-08
0.5185621.622913.655729e-08
0.5208151.6227483.614080e-08
0.5230771.6225883.572250e-08
0.5253491.6224283.530238e-08
0.5276321.6222713.488044e-08
0.5299241.6221143.445667e-08
0.5322261.6219593.403106e-08
0.5345381.6218053.360359e-08
0.536861.6216533.317427e-08
0.5391931.6215013.274309e-08
0.5415351.6213513.231003e-08
0.5438871.6212033.187509e-08
0.546251.6210553.143826e-08
0.5486231.6209093.099953e-08
0.551.6208253.074500e-08
0.5510071.6207643.109212e-08
0.55341.620623.191757e-08
0.5558041.6204783.274660e-08
0.5582191.6203363.357923e-08
0.5606441.6201963.441548e-08
0.563081.6200573.525536e-08
0.5655261.6199193.609889e-08
0.5679821.6197823.694608e-08
0.570451.6196463.779696e-08
0.5729281.6195123.865153e-08
0.5754171.6193783.950982e-08
0.5779171.6192464.037183e-08
0.5804271.6191154.123758e-08
0.5829491.6189844.210710e-08
0.5854811.6188554.298040e-08
0.5880251.6187274.385749e-08
0.5905791.61864.473839e-08
0.5931451.6184734.562311e-08
0.5957221.6183484.651169e-08
0.598311.6182244.740412e-08
0.61.6181444.798700e-08
0.6009091.6181014.805969e-08
0.6035191.6179794.826848e-08
0.6061411.6178574.847817e-08
0.6087741.6177374.868878e-08
0.6114191.6176184.890030e-08
0.6140751.6174994.911274e-08
0.6167431.6173814.932610e-08
0.6194221.6172654.954039e-08
0.6221131.6171494.975561e-08
0.6248161.6170344.997176e-08
0.627531.616925.018885e-08
0.6302561.6168075.040689e-08
0.6329941.6166955.062587e-08
0.6357441.6165835.084581e-08
0.6385061.6164725.106670e-08
0.641281.6163635.128855e-08
0.6440661.6162545.151136e-08
0.6468641.6161455.173515e-08
0.6496741.6160385.195990e-08
0.651.6160265.198600e-08
0.6524961.6159315.190488e-08
0.6553311.6158265.181276e-08
0.6581781.615725.172023e-08
0.6610371.6156165.162730e-08
0.6639081.6155125.153397e-08
0.6667931.615415.144024e-08
0.6696891.6153085.134610e-08
0.6725991.6152065.125154e-08
0.6755211.6151055.115658e-08
0.6784551.6150055.106121e-08
0.6814031.6149065.096542e-08
0.6843631.6148085.086921e-08
0.6873361.614715.077259e-08
0.6903221.6146125.067554e-08
0.6933211.6145165.057808e-08
0.6963331.614425.048019e-08
0.6993581.6143255.038188e-08
0.71.6143055.036100e-08
0.7023961.614235.084147e-08
0.7054471.6141365.145343e-08
0.7085121.6140435.206804e-08
0.711591.613955.268532e-08
0.7146811.6138585.330528e-08
0.7177861.6137665.392794e-08
0.7209041.6136755.455330e-08
0.7240361.6135855.518138e-08
0.7271811.6134955.581218e-08
0.730341.6134055.644573e-08
0.7335131.6133175.708203e-08
0.73671.6132295.772109e-08
0.73991.6131415.836293e-08
0.7431141.6130545.900756e-08
0.7463421.6129675.965498e-08
0.7495851.6128816.030522e-08
0.7528411.6127966.095829e-08
0.7561121.6127116.161419e-08
0.7593961.6126266.227294e-08
0.7626951.6125426.293456e-08
0.7660091.6124596.359905e-08
0.7693361.6123766.426642e-08
0.7726791.6122936.493669e-08
0.7760351.6122116.560988e-08
0.7794071.6121296.628599e-08
0.7827931.6120486.696504e-08
0.7861931.6119686.764703e-08
0.7896091.6118876.833199e-08
0.7930391.6118076.901993e-08
0.7964841.6117286.971085e-08
0.7999441.6116497.040478e-08
0.81.6116487.041600e-08
0.8034191.611576.874408e-08
0.8069091.6114926.703743e-08
0.8104151.6114146.532335e-08
0.8139351.6113376.360184e-08
0.8174711.611266.187284e-08
0.8210231.6111836.013633e-08
0.8245891.6111075.839228e-08
0.8281721.6110315.664065e-08
0.8317691.6109565.488141e-08
0.8353831.610885.311453e-08
0.8390121.6108065.133997e-08
0.8426571.6107314.955771e-08
0.8463171.6106574.776770e-08
0.8499941.6105834.596992e-08
0.8536871.610514.416432e-08
0.8573951.6104374.235088e-08
0.861121.6103644.052957e-08
0.8648611.6102913.870034e-08
0.8686181.6102193.686316e-08
0.8723911.6101473.501801e-08
0.8761811.6100753.316483e-08
0.8799881.6100043.130361e-08
0.8838111.6099332.943430e-08
0.887651.6098622.755687e-08
0.8915061.6097922.567129e-08
0.8953791.6097212.377751e-08
0.8992691.6096512.187551e-08
0.91.6096382.151800e-08
0.9031751.6095822.210137e-08
0.9070991.6095122.282218e-08
0.911041.6094432.354611e-08
0.9149981.6093742.427320e-08
0.9189721.6093052.500344e-08
0.9229651.6092362.573685e-08
0.9269741.6091682.647345e-08
0.9310011.60912.721325e-08
0.9350461.6090322.795626e-08
0.9391081.6089642.870250e-08
0.9431881.6088962.945198e-08
0.9472851.6088293.020472e-08
0.95141.6087623.096073e-08
0.9555331.6086953.172002e-08
0.9596841.6086283.248261e-08
0.9638531.6085613.324852e-08
0.9680411.6084953.401775e-08
0.9722461.6084293.479032e-08
0.976471.6083623.556625e-08
0.9807121.6082963.634555e-08
0.9849721.608233.712824e-08
0.9892511.6081653.791432e-08
0.9935491.6080993.870382e-08
0.9978651.6080333.949675e-08
11.6080013.988900e-08
1.00221.6079683.976583e-08
1.006551.6079033.952206e-08
1.010931.6078383.927724e-08
1.015321.6077723.903134e-08
1.019731.6077083.878438e-08
1.024161.6076433.853635e-08
1.028611.6075783.828724e-08
1.033081.6075133.803705e-08
1.037561.6074493.778577e-08
1.042071.6073843.753340e-08
1.04661.607323.727993e-08
1.051151.6072553.702537e-08
1.055711.6071913.676969e-08
1.06031.6071263.651291e-08
1.06491.6070623.625501e-08
1.069531.6069983.599599e-08
1.074181.6069343.573584e-08
1.078841.606873.547456e-08
1.083531.6068063.521215e-08
1.088241.6067413.494860e-08
1.092961.6066773.468391e-08
1.097711.6066133.441806e-08
1.102481.6065493.415106e-08
1.107271.6064853.388290e-08
1.112081.6064213.361357e-08
1.116911.6063573.334308e-08
1.121761.6062933.307141e-08
1.126641.6062293.279856e-08
1.131531.6061653.252452e-08
1.136451.6061013.224929e-08
1.141381.6060363.197287e-08
1.146341.6059723.169525e-08
1.151321.6059083.141642e-08
1.156321.6058443.113638e-08
1.161351.6057793.085512e-08
1.166391.6057153.057264e-08
1.171461.605653.028894e-08
1.176551.6055863.000400e-08
1.181661.6055212.971782e-08
1.186791.6054562.943040e-08
1.191951.6053922.914173e-08
1.197131.6053272.885181e-08
1.21.6052912.869100e-08
1.202331.6052622.887683e-08
1.207551.6051972.929370e-08
1.21281.6051312.971237e-08
1.218071.6050663.013287e-08
1.223361.6050013.055518e-08
1.228671.6049353.097934e-08
1.234011.6048693.140534e-08
1.239371.6048043.183318e-08
1.244751.6047383.226289e-08
1.250161.6046713.269446e-08
1.255591.6046053.312791e-08
1.261051.6045393.356324e-08
1.266531.6044723.400046e-08
1.272031.6044053.443959e-08
1.277551.6043393.488062e-08
1.28311.6042713.532356e-08
1.288681.6042043.576843e-08
1.294281.6041373.621523e-08
1.29991.6040693.666397e-08
1.305551.6040013.711467e-08
1.311221.6039333.756732e-08
1.316911.6038653.802193e-08
1.322641.6037973.847853e-08
1.328381.6037283.893710e-08
1.334151.6036593.939767e-08
1.339951.603593.986024e-08
1.345771.603524.032481e-08
1.351621.6034514.079141e-08
1.357491.6033814.126003e-08
1.363381.6033114.173069e-08
1.369311.603244.220340e-08
1.375261.603174.267815e-08
1.381231.6030994.315497e-08
1.387231.6030284.363386e-08
1.393261.6029564.411483e-08
1.399311.6028844.459790e-08
1.41.6028764.465300e-08
1.405391.6028124.828637e-08
1.411491.602745.240311e-08
1.417631.6026675.653773e-08
1.423781.6025946.069031e-08
1.429971.6025216.486093e-08
1.436181.6024476.904967e-08
1.442421.6023737.325661e-08
1.448691.6022997.748183e-08
1.454981.6022248.172539e-08
1.46131.6021498.598740e-08
1.467651.6020749.026792e-08
1.474031.6019989.456703e-08
1.480431.6019229.888482e-08
1.486861.6018461.032214e-07
1.493321.6017691.075768e-07
1.499811.6016921.119511e-07
1.506321.6016141.163444e-07
1.512871.6015361.207568e-07
1.519441.6014581.251883e-07
1.526041.6013791.296392e-07
1.532671.60131.341093e-07
1.539331.601221.385989e-07
1.546011.601141.431080e-07
1.552731.6010591.476366e-07
1.559481.6009781.521850e-07
1.566251.6008971.567531e-07
1.573051.6008151.613410e-07
1.579891.6007331.659489e-07
1.586751.600651.705768e-07
1.593641.6005661.752248e-07
1.61.6004891.795100e-07
1.600571.6004831.803652e-07
1.607521.6003981.908354e-07
1.61451.6003132.013510e-07
1.621521.6002282.119124e-07
1.628561.6001422.225196e-07
1.635641.6000562.331730e-07
1.642741.5999692.438726e-07
1.649881.5998822.546186e-07
1.657051.5997942.654114e-07
1.664251.5997052.762511e-07
1.671481.5996162.871378e-07
1.678741.5995262.980718e-07
1.686031.5994363.090534e-07
1.693351.5993453.200826e-07
1.700711.5992543.311598e-07
1.70811.5991623.422850e-07
1.715521.5990693.534587e-07
1.722971.5989763.646808e-07
1.730461.5988823.759517e-07
1.737971.5987873.872716e-07
1.745521.5986923.986406e-07
1.753111.5985964.100590e-07
1.760721.59854.215271e-07
1.768371.5984034.330449e-07
1.776051.5983054.446128e-07
1.783771.5982064.562310e-07
1.791521.5981074.678996e-07
1.79931.5980074.796189e-07
1.81.5979984.806700e-07
1.807121.5979074.956076e-07
1.814971.5978055.120812e-07
1.822851.5977035.286263e-07
1.830771.59765.452433e-07
1.838731.5974975.619325e-07
1.846711.5973935.786943e-07
1.854741.5972885.955288e-07
1.862791.5971826.124365e-07
1.870891.5970756.294176e-07
1.879011.5969686.464725e-07
1.887181.596866.636014e-07
1.895371.5967516.808048e-07
1.903611.5966416.980830e-07
1.911881.596537.154361e-07
1.920181.5964197.328647e-07
1.928531.5963067.503690e-07
1.93691.5961937.679493e-07
1.945321.5960797.856060e-07
1.953771.5959648.033394e-07
1.962261.5958488.211499e-07
1.970781.5957318.390377e-07
1.979341.5956148.570032e-07
1.987941.5954958.750468e-07
1.996581.5953758.931688e-07
21.5953289.003500e-07
2.005251.5952559.354724e-07
2.013961.5951349.937356e-07
2.022711.5950111.052252e-06
2.03151.5948881.111022e-06
2.040321.5947631.170048e-06
2.049191.5946381.229331e-06
2.058091.5945121.288870e-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
—