Optical constants

Refractive index of Q-PSKH1S (HIKARI)

Q-PSKH1S: n,k 0.3889–2.058 µm

Data
formula 3 + tabulated k
Range
0.3889–2.058 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3889–2.058 µm
Refractive index n
1.59255
Extinction coefficient k
2.59584e-08
Permittivity ε1
2.53621
Permittivity ε2
8.26800e-08
Absorption coefficient α
0.00555144 cm⁻¹
Penetration depth δ = λ/(2πk)
3.60267e+09 nm
Abbe number Vd
67.857
Chromatic dispersion dn/dλ
-0.0450781 µm⁻¹
Group index ng
1.61904
Group velocity dispersion
79.8756 fs²/mm
Dispersion parameter D
-435.764 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-PSKH1S (HIKARI): Q-PSKH1S
hikari_q_pskh1s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-PSKH1S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_pskh1s.range_nm)  # (388.865, 2058.09) nm
eps = hikari_q_pskh1s.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=2.50007622−0.00671624527⁢λ2.0−5.1444284×10-5⁢λ4.0+0.0128098993⁢λ−2.0+0.000158900364⁢λ−4.0+6.45646017×10-7⁢λ−6.0+1.36642151×10-7⁢λ−8.0

Valid from 0.388865 to 2.05809 µm.

Coefficients as stored
CiValue
C12.50007622
C2-0.00671624527
C32.0
C4-5.1444284e-05
C54.0
C60.0128098993
C7-2.0
C80.000158900364
C9-4.0
C106.45646017e-07
C11-6.0
C121.36642151e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: -1.5641e-05 2.5796e-09 -1.8124e-13 4.1275e-07 2.968e-10 0.19092
nd
1.592550
Vd
67.856871
density
value: 4100
thermal expansion
value: 1.14e-05, temperature range: 243 343
dPgF
0.0136
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = -6.98e-06 K⁻¹ at 633 nm, dn/dT = -7.29e-06 K⁻¹ at 1310 nm, dn/dT = -7.30e-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 419 wavelengths, the same grid as the API and the library
Q-PSKH1S (HIKARI), Q-PSKH1S: n and k versus wavelength
λ (µm)nk
0.3888651.6097117.307606e-08
0.391.6095286.904000e-08
0.3904921.609456.800937e-08
0.3921271.6091916.458870e-08
0.3937681.6089346.115371e-08
0.3954151.608685.770435e-08
0.397071.6084285.424056e-08
0.3987321.6081795.076227e-08
0.41.6079914.810800e-08
0.4004011.6079324.788485e-08
0.4020761.6076874.695152e-08
0.4037591.6074454.601428e-08
0.4054491.6072054.507311e-08
0.4071451.6069674.412801e-08
0.4088491.6067314.317895e-08
0.410561.6064984.222592e-08
0.4122781.6062674.126891e-08
0.4140041.6060374.030788e-08
0.4157361.605813.934284e-08
0.4174761.6055853.837376e-08
0.4192231.6053623.740062e-08
0.421.6052643.696800e-08
0.4209781.6051423.705409e-08
0.4227391.6049233.720921e-08
0.4245091.6047063.736498e-08
0.4262851.6044913.752141e-08
0.4280691.6042783.767849e-08
0.4298611.6040673.783622e-08
0.431661.6038583.799462e-08
0.4334661.6036513.815368e-08
0.435281.6034463.831340e-08
0.4371021.6032433.847380e-08
0.4389311.6030413.863486e-08
0.441.6029243.872900e-08
0.4407681.6028413.851269e-08
0.4426121.6026433.799298e-08
0.4444651.6024473.747109e-08
0.4463251.6022533.694702e-08
0.4481931.602063.642076e-08
0.4500681.6018693.589230e-08
0.4519521.601683.536162e-08
0.4538431.6014923.482872e-08
0.4557421.6013073.429359e-08
0.457651.6011223.375623e-08
0.4595651.600943.321661e-08
0.461.6008993.309400e-08
0.4614881.6007593.291446e-08
0.4634191.6005793.268145e-08
0.4653591.6004023.244747e-08
0.4673061.6002253.221250e-08
0.4692621.6000513.197656e-08
0.4712261.5998783.173962e-08
0.4731981.5997063.150169e-08
0.4751781.5995363.126277e-08
0.4771671.5993673.102285e-08
0.4791641.59923.078192e-08
0.481.5991313.068100e-08
0.4811691.5990343.052140e-08
0.4831821.598873.024644e-08
0.4852051.5987072.997032e-08
0.4872351.5985462.969305e-08
0.4892741.5983862.941462e-08
0.4913221.5982272.913502e-08
0.4933781.598072.885426e-08
0.4954431.5979142.857231e-08
0.4975161.597762.828919e-08
0.4995981.5976062.800489e-08
0.51.5975772.795000e-08
0.5016891.5974542.759845e-08
0.5037881.5973042.716141e-08
0.5058971.5971542.672255e-08
0.5080141.5970062.628184e-08
0.510141.596862.583929e-08
0.5122751.5967142.539489e-08
0.5144191.596572.494863e-08
0.5165711.5964272.450051e-08
0.5187331.5962852.405050e-08
0.5209041.5961442.359862e-08
0.5230841.5960042.314484e-08
0.5252731.5958662.268916e-08
0.5274711.5957292.223158e-08
0.5296791.5955932.177208e-08
0.5318951.5954582.131066e-08
0.5341211.5953242.084731e-08
0.5363571.5951912.038202e-08
0.5386011.595061.991478e-08
0.5408551.5949291.944558e-08
0.5431191.59481.897443e-08
0.5453921.5946721.850130e-08
0.5476741.5945441.802619e-08
0.5499661.5944181.754909e-08
0.551.5944161.754200e-08
0.5522681.5942931.804956e-08
0.5545791.5941691.856690e-08
0.55691.5940451.908640e-08
0.559231.5939231.960808e-08
0.561571.5938022.013194e-08
0.5639211.5936822.065799e-08
0.5662811.5935632.118625e-08
0.568651.5934442.171671e-08
0.571031.5933272.224940e-08
0.573421.5932112.278431e-08
0.575821.5930952.332147e-08
0.5782291.5929812.386087e-08
0.5806491.5928672.440253e-08
0.5830791.5927542.494645e-08
0.5855191.5926432.549265e-08
0.587971.5925322.604114e-08
0.590431.5924222.659192e-08
0.5929011.5923122.714501e-08
0.5953821.5922042.770042e-08
0.5978741.5920972.825814e-08
0.61.5920062.873400e-08
0.6003761.591992.879119e-08
0.6028891.5918842.917314e-08
0.6054121.5917792.955669e-08
0.6079451.5916752.994185e-08
0.610491.5915723.032862e-08
0.6130441.5914693.071701e-08
0.615611.5913673.110703e-08
0.6181861.5912663.149867e-08
0.6207731.5911663.189196e-08
0.6233711.5910673.228689e-08
0.625981.5909683.268347e-08
0.62861.590873.308172e-08
0.631231.5907733.348163e-08
0.6338721.5906763.388321e-08
0.6365251.590583.428648e-08
0.6391881.5904853.469143e-08
0.6418631.5903913.509808e-08
0.644551.5902973.550642e-08
0.6472471.5902043.591648e-08
0.6499561.5901123.632826e-08
0.651.5901113.633500e-08
0.6526761.5900213.678494e-08
0.6554071.589933.724425e-08
0.658151.5898393.770548e-08
0.6609041.589753.816865e-08
0.663671.5896613.863375e-08
0.6664471.5895723.910080e-08
0.6692361.5894853.956980e-08
0.6720371.5893984.004077e-08
0.674851.5893114.051371e-08
0.6776741.5892264.098863e-08
0.680511.589144.146553e-08
0.6833581.5890564.194443e-08
0.6862171.5889724.242533e-08
0.6890891.5888884.290825e-08
0.6919731.5888054.339319e-08
0.6948691.5887234.388016e-08
0.6977771.5886414.436916e-08
0.71.588584.474300e-08
0.7006971.588564.492195e-08
0.7036291.588484.567477e-08
0.7065741.58844.643075e-08
0.7095311.588324.718989e-08
0.71251.5882414.795221e-08
0.7154821.5881634.871772e-08
0.7184761.5880854.948643e-08
0.7214831.5880085.025836e-08
0.7245021.5879315.103351e-08
0.7275341.5878545.181192e-08
0.7305791.5877785.259358e-08
0.7336371.5877035.337851e-08
0.7367071.5876285.416673e-08
0.739791.5875545.495824e-08
0.7428861.587485.575307e-08
0.7459951.5874065.655122e-08
0.7491171.5873335.735271e-08
0.7522521.5872615.815756e-08
0.75541.5871895.896578e-08
0.7585611.5871175.977738e-08
0.7617361.5870466.059237e-08
0.7649231.5869756.141078e-08
0.7681251.5869056.223261e-08
0.7713391.5868356.305788e-08
0.7745671.5867666.388660e-08
0.7778091.5866976.471880e-08
0.7810641.5866286.555447e-08
0.7843321.586566.639364e-08
0.7876151.5864926.723633e-08
0.7909111.5864246.808254e-08
0.7942211.5863576.893229e-08
0.7975441.5862916.978559e-08
0.81.5862427.041600e-08
0.8008821.5862247.023864e-08
0.8042341.5861596.956476e-08
0.8075991.5860936.888806e-08
0.8109791.5860286.820853e-08
0.8143731.5859636.752615e-08
0.8177811.5858996.684092e-08
0.8212041.5858346.615282e-08
0.824641.5857716.546184e-08
0.8280911.5857076.476797e-08
0.8315571.5856446.407120e-08
0.8350371.5855816.337151e-08
0.8385311.5855196.266889e-08
0.8420411.5854576.196333e-08
0.8455641.5853956.125482e-08
0.8491031.5853346.054335e-08
0.8526561.5852725.982889e-08
0.8562251.5852125.911145e-08
0.8598081.5851515.839100e-08
0.8634061.5850915.766754e-08
0.867021.5850315.694106e-08
0.8706481.5849715.621153e-08
0.8742921.5849125.547895e-08
0.877951.5848525.474330e-08
0.8816251.5847935.400457e-08
0.8853141.5847355.326275e-08
0.8890191.5846775.251783e-08
0.892741.5846185.176979e-08
0.8964761.5845615.101862e-08
0.91.5845065.031000e-08
0.9002271.5845035.034092e-08
0.9039951.5844465.085359e-08
0.9077781.5843895.136840e-08
0.9115771.5843325.188537e-08
0.9153921.5842755.240450e-08
0.9192231.5842195.292580e-08
0.9230691.5841625.344928e-08
0.9269321.5841065.397496e-08
0.9308121.5840515.450283e-08
0.9347071.5839955.503291e-08
0.9386191.583945.556521e-08
0.9425471.5838855.609974e-08
0.9464911.583835.663651e-08
0.9504521.5837755.717552e-08
0.954431.583725.771679e-08
0.9584241.5836665.826032e-08
0.9624351.5836125.880613e-08
0.9664631.5835585.935422e-08
0.9705071.5835045.990461e-08
0.9745691.583456.045730e-08
0.9786471.5833976.101230e-08
0.9827431.5833446.156962e-08
0.9868551.583296.212928e-08
0.9909851.5832376.269128e-08
0.9951321.5831846.325563e-08
0.9992971.5831326.382234e-08
11.5831236.391800e-08
1.003481.5830796.297233e-08
1.007681.5830276.183083e-08
1.01191.5829746.068455e-08
1.016131.5829225.953347e-08
1.020381.582875.837758e-08
1.024651.5828185.721685e-08
1.028941.5827665.605126e-08
1.033251.5827155.488079e-08
1.037571.5826635.370543e-08
1.041911.5826125.252514e-08
1.046271.582565.133992e-08
1.050651.5825095.014974e-08
1.055051.5824584.895457e-08
1.059461.5824074.775441e-08
1.06391.5823564.654922e-08
1.068351.5823054.533899e-08
1.072821.5822544.412369e-08
1.077311.5822034.290331e-08
1.081821.5821534.167782e-08
1.086351.5821024.044720e-08
1.090891.5820523.921144e-08
1.095461.5820013.797050e-08
1.100041.5819513.672436e-08
1.104651.58193.547301e-08
1.109271.581853.421643e-08
1.113911.58183.295459e-08
1.118571.581753.168746e-08
1.123251.58173.041503e-08
1.127961.5816492.913728e-08
1.132681.5815992.785418e-08
1.137421.5815492.656571e-08
1.142181.5814992.527185e-08
1.146961.5814492.397258e-08
1.151761.5813992.266786e-08
1.156581.5813492.135769e-08
1.161421.5812992.004203e-08
1.166281.5812491.872087e-08
1.171161.5811991.739418e-08
1.176061.5811491.606194e-08
1.180981.5810991.472412e-08
1.185921.5810491.338070e-08
1.190891.5811.203166e-08
1.195871.580951.067698e-08
1.21.5809089.554100e-09
1.200871.58099.658585e-09
1.20591.5808491.025962e-08
1.210951.5807991.086316e-08
1.216011.5807491.146923e-08
1.22111.5806991.207784e-08
1.226211.5806491.268899e-08
1.231341.5805991.330271e-08
1.23651.5805491.391899e-08
1.241671.5804981.453785e-08
1.246871.5804481.515930e-08
1.252091.5803981.578335e-08
1.257331.5803471.641001e-08
1.262591.5802971.703929e-08
1.267871.5802461.767121e-08
1.273181.5801951.830577e-08
1.278511.5801451.894299e-08
1.283861.5800941.958288e-08
1.289231.5800432.022544e-08
1.294621.5799922.087069e-08
1.300041.5799412.151864e-08
1.305481.579892.216931e-08
1.310951.5798382.282269e-08
1.316431.5797872.347882e-08
1.321941.5797362.413768e-08
1.327471.5796842.479931e-08
1.333031.5796322.546370e-08
1.338611.5795812.613087e-08
1.344211.5795292.680084e-08
1.349841.5794772.747361e-08
1.355481.5794242.814919e-08
1.361161.5793722.882761e-08
1.366851.579322.950886e-08
1.372571.5792673.019296e-08
1.378321.5792143.087992e-08
1.384091.5791623.156976e-08
1.389881.5791093.226249e-08
1.395691.5790553.295812e-08
1.41.5790163.347300e-08
1.401541.5790023.370603e-08
1.40741.5789493.459606e-08
1.413291.5788953.548982e-08
1.419211.5788413.638732e-08
1.425141.5787873.728857e-08
1.431111.5787333.819360e-08
1.43711.5786793.910241e-08
1.443111.5786244.001503e-08
1.449151.5785694.093146e-08
1.455221.5785144.185173e-08
1.461311.5784594.277586e-08
1.467421.5784044.370385e-08
1.473561.5783484.463572e-08
1.479731.5782934.557149e-08
1.485921.5782374.651118e-08
1.492141.578184.745481e-08
1.498381.5781244.840238e-08
1.504661.5780674.935391e-08
1.510951.578015.030943e-08
1.517281.5779535.126895e-08
1.523631.5778965.223248e-08
1.531.5778385.320005e-08
1.53641.577785.417166e-08
1.542831.5777225.514734e-08
1.549291.5776645.612711e-08
1.555771.5776055.711097e-08
1.562291.5775465.809895e-08
1.568821.5774875.909107e-08
1.575391.5774286.008734e-08
1.581981.5773686.108778e-08
1.58861.5773086.209240e-08
1.595251.5772486.310123e-08
1.61.5772046.382200e-08
1.601931.5771876.487277e-08
1.608631.5771266.853004e-08
1.615361.5770657.220262e-08
1.622121.5770037.589056e-08
1.628911.5769417.959394e-08
1.635731.5768798.331281e-08
1.642571.5768178.704725e-08
1.649451.5767549.079732e-08
1.656351.5766919.456308e-08
1.663281.5766279.834460e-08
1.670241.5765631.021420e-07
1.677231.5764991.059552e-07
1.684251.5764351.097844e-07
1.69131.576371.136296e-07
1.698381.5763041.174909e-07
1.705491.5762391.213684e-07
1.712621.5761731.252621e-07
1.719791.5761061.291721e-07
1.726991.5760391.330984e-07
1.734211.5759721.370412e-07
1.741471.5759051.410005e-07
1.748761.5758371.449764e-07
1.756081.5757681.489689e-07
1.763431.57571.529781e-07
1.770811.575631.570041e-07
1.778221.5755611.610469e-07
1.785661.5754911.651066e-07
1.793131.575421.691834e-07
1.81.5753551.729300e-07
1.800641.5753491.728887e-07
1.808171.5752781.724001e-07
1.815741.5752061.719093e-07
1.823341.5751341.714165e-07
1.830971.5750611.709217e-07
1.838631.5749881.704248e-07
1.846331.5749141.699258e-07
1.854051.574841.694247e-07
1.861811.5747651.689216e-07
1.86961.574691.684163e-07
1.877431.5746151.679089e-07
1.885281.5745381.673994e-07
1.893171.5744621.668877e-07
1.90111.5743851.663739e-07
1.909051.5743071.658580e-07
1.917041.5742291.653399e-07
1.925061.574151.648196e-07
1.933121.5740711.642971e-07
1.941211.5739911.637725e-07
1.949331.5739111.632457e-07
1.957491.573831.627166e-07
1.965681.5737481.621854e-07
1.973911.5736661.616519e-07
1.982171.5735831.611162e-07
1.990471.57351.605783e-07
1.99881.5734161.600381e-07
21.5734041.599600e-07
2.007161.5733321.611659e-07
2.015561.5732471.625804e-07
2.0241.5731611.640009e-07
2.032471.5730751.654273e-07
2.040971.5729881.668596e-07
2.049511.57291.682980e-07
2.058091.5728121.697424e-07

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
—