Optical constants

Refractive index of Q-SK5S (HIKARI)

Q-SK5S: 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
1.58887
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.5245
Permittivity ε2
5.60941e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
61.178
Chromatic dispersion dn/dλ
-0.0498666 µm⁻¹
Group index ng
1.61817
Group velocity dispersion
85.176 fs²/mm
Dispersion parameter D
-464.68 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-SK5S (HIKARI): Q-SK5S
hikari_q_sk5s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-SK5S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_sk5s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_sk5s.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=2.48684451−0.0107692547⁢λ2.0−0.000134578724⁢λ4.0+0.013864428⁢λ−2.0+0.000124776891⁢λ−4.0+8.35456207×10-6⁢λ−6.0−1.81702443×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.48684451
C2-0.0107692547
C32.0
C4-0.000134578724
C54.0
C60.013864428
C7-2.0
C80.000124776891
C9-4.0
C108.35456207e-06
C11-6.0
C12-1.81702443e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

nd
1.588870
Vd
61.177645
glass status
preferred
density
value: 2930
thermal expansion
value: 6.8e-06, temperature range: 243 343
dPgF
-0.0036
resistance
phosphate: 4.0

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-SK5S (HIKARI), Q-SK5S: n and k versus wavelength
λ (µm)nk
0.3650151.6122817.646690e-08
0.3666011.6119397.106470e-08
0.3681931.6116016.563903e-08
0.3697931.6112666.018979e-08
0.371.6112235.948400e-08
0.3713991.6109345.712619e-08
0.3730131.6106065.440753e-08
0.3746331.610285.167707e-08
0.3762611.6099594.893474e-08
0.3778951.609644.618050e-08
0.3795371.6093254.341429e-08
0.381.6092364.263400e-08
0.3811861.6090124.090570e-08
0.3828421.6087033.849197e-08
0.3845051.6083973.606776e-08
0.3861751.6080943.363302e-08
0.3878531.6077943.118769e-08
0.3895381.6074962.873175e-08
0.391.6074162.805800e-08
0.391231.6072022.775160e-08
0.392931.6069112.732824e-08
0.3946371.6066222.690303e-08
0.3963511.6063372.647597e-08
0.3980731.6060542.604706e-08
0.3998021.6057742.561629e-08
0.41.6057422.556700e-08
0.4015391.6054962.540625e-08
0.4032831.6052222.522405e-08
0.4050351.604952.504106e-08
0.4067951.604682.485727e-08
0.4085621.6044132.467269e-08
0.4103371.6041492.448730e-08
0.412121.6038872.430111e-08
0.413911.6036282.411411e-08
0.4157081.6033722.392629e-08
0.4175141.6031172.373766e-08
0.4193281.6028662.354822e-08
0.421.6027732.347800e-08
0.4211491.6026162.354225e-08
0.4229791.6023692.364453e-08
0.4248171.6021242.374724e-08
0.4266621.6018822.385041e-08
0.4285161.6016422.395402e-08
0.4303771.6014042.405808e-08
0.4322471.6011682.416259e-08
0.4341251.6009352.426756e-08
0.436011.6007042.437299e-08
0.4379051.6004752.447887e-08
0.4398071.6002482.458521e-08
0.441.6002252.459600e-08
0.4417181.6000232.405951e-08
0.4436371.59982.346013e-08
0.4455641.5995792.285815e-08
0.4474991.5993612.225356e-08
0.4494431.5991442.164634e-08
0.4513961.598932.103648e-08
0.4533571.5987172.042397e-08
0.4553261.5985061.980880e-08
0.4573041.5982971.919096e-08
0.4592911.5980911.857043e-08
0.461.5980171.834900e-08
0.4612861.5978861.815354e-08
0.463291.5976821.784904e-08
0.4653031.5974811.754322e-08
0.4673241.5972821.723607e-08
0.4693541.5970841.692759e-08
0.4713931.5968881.661776e-08
0.4734411.5966941.630659e-08
0.4754981.5965021.599407e-08
0.4775641.5963111.568019e-08
0.4796381.5961221.536495e-08
0.481.5960891.531000e-08
0.4817221.5959351.502113e-08
0.4838151.5957491.467008e-08
0.4859171.5955651.431750e-08
0.4880271.5953831.396339e-08
0.4901481.5952021.360774e-08
0.4922771.5950231.325055e-08
0.4944151.5948451.289180e-08
0.4965631.5946691.253150e-08
0.4987211.5944951.216963e-08
0.51.5943921.195500e-08
0.5008871.5943221.197620e-08
0.5030631.594151.202821e-08
0.5052481.593981.208044e-08
0.5074431.5938111.213290e-08
0.5096481.5936441.218558e-08
0.5118621.5934791.223850e-08
0.5140861.5933151.229164e-08
0.5163191.5931521.234502e-08
0.5185621.592991.239863e-08
0.5208151.592831.245247e-08
0.5230771.5926711.250654e-08
0.5253491.5925141.256085e-08
0.5276321.5923581.261540e-08
0.5299241.5922031.267018e-08
0.5322261.592051.272520e-08
0.5345381.5918981.278046e-08
0.536861.5917471.283596e-08
0.5391931.5915971.289170e-08
0.5415351.5914491.294768e-08
0.5438871.5913021.300391e-08
0.546251.5911561.306038e-08
0.5486231.5910111.311710e-08
0.551.5909281.315000e-08
0.5510071.5908671.327053e-08
0.55341.5907251.355715e-08
0.5558041.5905841.384502e-08
0.5582191.5904441.413414e-08
0.5606441.5903051.442451e-08
0.563081.5901671.471615e-08
0.5655261.590031.500905e-08
0.5679821.5898941.530322e-08
0.570451.589761.559868e-08
0.5729281.5896261.589541e-08
0.5754171.5894941.619344e-08
0.5779171.5893621.649276e-08
0.5804271.5892321.679338e-08
0.5829491.5891031.709530e-08
0.5854811.5889741.739854e-08
0.5880251.5888471.770310e-08
0.5905791.5887211.800897e-08
0.5931451.5885951.831618e-08
0.5957221.5884711.862472e-08
0.598311.5883471.893460e-08
0.61.5882671.913700e-08
0.6009091.5882251.926045e-08
0.6035191.5881031.961500e-08
0.6061411.5879821.997110e-08
0.6087741.5878632.032874e-08
0.6114191.5877442.068794e-08
0.6140751.5876262.104870e-08
0.6167431.5875092.141102e-08
0.6194221.5873922.177492e-08
0.6221131.5872772.214040e-08
0.6248161.5871632.250747e-08
0.627531.5870492.287613e-08
0.6302561.5869362.324640e-08
0.6329941.5868242.361827e-08
0.6357441.5867132.399176e-08
0.6385061.5866022.436687e-08
0.641281.5864922.474361e-08
0.6440661.5863842.512199e-08
0.6468641.5862752.550201e-08
0.6496741.5861682.588368e-08
0.651.5861562.592800e-08
0.6524961.5860612.602754e-08
0.6553311.5859562.614058e-08
0.6581781.585852.625412e-08
0.6610371.5857462.636815e-08
0.6639081.5856422.648267e-08
0.6667931.5855392.659769e-08
0.6696891.5854372.671321e-08
0.6725991.5853352.682923e-08
0.6755211.5852342.694576e-08
0.6784551.5851342.706279e-08
0.6814031.5850342.718033e-08
0.6843631.5849352.729839e-08
0.6873361.5848372.741695e-08
0.6903221.5847392.753603e-08
0.6933211.5846422.765563e-08
0.6963331.5845462.777574e-08
0.6993581.584452.789638e-08
0.71.584432.792200e-08
0.7023961.5843552.894006e-08
0.7054471.584263.023671e-08
0.7085121.5841663.153899e-08
0.711591.5840733.284694e-08
0.7146811.583983.416056e-08
0.7177861.5838873.547989e-08
0.7209041.5837953.680495e-08
0.7240361.5837043.813576e-08
0.7271811.5836133.947236e-08
0.730341.5835234.081477e-08
0.7335131.5834344.216300e-08
0.73671.5833444.351710e-08
0.73991.5832564.487707e-08
0.7431141.5831684.624296e-08
0.7463421.583084.761477e-08
0.7495851.5829934.899255e-08
0.7528411.5829065.037631e-08
0.7561121.582825.176609e-08
0.7593961.5827345.316190e-08
0.7626951.5826495.456377e-08
0.7660091.5825645.597174e-08
0.7693361.582485.738582e-08
0.7726791.5823965.880605e-08
0.7760351.5823126.023244e-08
0.7794071.5822296.166503e-08
0.7827931.5821476.310385e-08
0.7861931.5820656.454891e-08
0.7896091.5819836.600025e-08
0.7930391.5819016.745790e-08
0.7964841.581826.892188e-08
0.7999441.5817397.039222e-08
0.81.5817387.041600e-08
0.8034191.5816596.874408e-08
0.8069091.5815796.703743e-08
0.8104151.58156.532335e-08
0.8139351.581426.360184e-08
0.8174711.5813426.187284e-08
0.8210231.5812636.013633e-08
0.8245891.5811855.839228e-08
0.8281721.5811075.664065e-08
0.8317691.581035.488141e-08
0.8353831.5809525.311453e-08
0.8390121.5808765.133997e-08
0.8426571.5807994.955771e-08
0.8463171.5807234.776770e-08
0.8499941.5806474.596992e-08
0.8536871.5805714.416432e-08
0.8573951.5804964.235088e-08
0.861121.580424.052957e-08
0.8648611.5803463.870034e-08
0.8686181.5802713.686316e-08
0.8723911.5801973.501801e-08
0.8761811.5801233.316483e-08
0.8799881.5800493.130361e-08
0.8838111.5799752.943430e-08
0.887651.5799022.755687e-08
0.8915061.5798292.567129e-08
0.8953791.5797562.377751e-08
0.8992691.5796832.187551e-08
0.91.5796692.151800e-08
0.9031751.579612.184752e-08
0.9070991.5795382.225467e-08
0.911041.5794662.266360e-08
0.9149981.5793942.307429e-08
0.9189721.5793222.348678e-08
0.9229651.5792512.390105e-08
0.9269741.579182.431712e-08
0.9310011.5791082.473500e-08
0.9350461.5790372.515470e-08
0.9391081.5789662.557622e-08
0.9431881.5788962.599957e-08
0.9472851.5788252.642476e-08
0.95141.5787552.685180e-08
0.9555331.5786842.728069e-08
0.9596841.5786142.771145e-08
0.9638531.5785442.814407e-08
0.9680411.5784742.857858e-08
0.9722461.5784052.901497e-08
0.976471.5783352.945326e-08
0.9807121.5782652.989346e-08
0.9849721.5781963.033556e-08
0.9892511.5781263.077959e-08
0.9935491.5780573.122554e-08
0.9978651.5779883.167344e-08
11.5779543.189500e-08
1.00221.5779193.164927e-08
1.006551.577853.116293e-08
1.010931.5777813.067448e-08
1.015321.5777123.018391e-08
1.019731.5776432.969120e-08
1.024161.5775742.919636e-08
1.028611.5775052.869937e-08
1.033081.5774362.820021e-08
1.037561.5773672.769889e-08
1.042071.5772992.719539e-08
1.04661.577232.668971e-08
1.051151.5771612.618182e-08
1.055711.5770932.567173e-08
1.06031.5770242.515943e-08
1.06491.5769552.464489e-08
1.069531.5768862.412813e-08
1.074181.5768182.360912e-08
1.078841.5767492.308785e-08
1.083531.576682.256432e-08
1.088241.5766112.203851e-08
1.092961.5765432.151042e-08
1.097711.5764742.098004e-08
1.102481.5764052.044735e-08
1.107271.5763361.991235e-08
1.112081.5762671.937503e-08
1.116911.5761981.883537e-08
1.121761.5761281.829336e-08
1.126641.5760591.774900e-08
1.131531.575991.720228e-08
1.136451.575921.665318e-08
1.141381.5758511.610169e-08
1.146341.5757811.554781e-08
1.151321.5757121.499153e-08
1.156321.5756421.443282e-08
1.161351.5755721.387169e-08
1.166391.5755021.330813e-08
1.171461.5754321.274211e-08
1.176551.5753611.217364e-08
1.181661.5752911.160269e-08
1.186791.575221.102927e-08
1.191951.5751491.045335e-08
1.197131.5750799.874931e-09
1.21.5750399.554100e-09
1.202331.5750071.022344e-08
1.207551.5749361.172490e-08
1.21281.5748651.323288e-08
1.218071.5747931.474741e-08
1.223361.5747221.626852e-08
1.228671.574651.779624e-08
1.234011.5745771.933059e-08
1.239371.5745052.087161e-08
1.244751.5744332.241933e-08
1.250161.574362.397377e-08
1.255591.5742872.553496e-08
1.261051.5742142.710293e-08
1.266531.574142.867772e-08
1.272031.5740663.025935e-08
1.277551.5739923.184784e-08
1.28311.5739183.344324e-08
1.288681.5738443.504557e-08
1.294281.5737693.665486e-08
1.29991.5736943.827114e-08
1.305551.5736193.989445e-08
1.311221.5735434.152480e-08
1.316911.5734684.316224e-08
1.322641.5733924.480679e-08
1.328381.5733154.645849e-08
1.334151.5732384.811736e-08
1.339951.5731614.978344e-08
1.345771.5730845.145675e-08
1.351621.5730065.313734e-08
1.357491.5729285.482522e-08
1.363381.572855.652044e-08
1.369311.5727715.822302e-08
1.375261.5726925.993300e-08
1.381231.5726136.165041e-08
1.387231.5725336.337528e-08
1.393261.5724536.510764e-08
1.399311.5723736.684752e-08
1.41.5723646.704600e-08
1.405391.5722926.764935e-08
1.411491.5722116.833296e-08
1.417631.5721296.901955e-08
1.423781.5720476.970911e-08
1.429971.5719647.040168e-08
1.436181.5718817.109725e-08
1.442421.5717987.179584e-08
1.448691.5717147.249747e-08
1.454981.571637.320214e-08
1.46131.5715457.390988e-08
1.467651.571467.462069e-08
1.474031.5713757.533459e-08
1.480431.5712897.605159e-08
1.486861.5712027.677171e-08
1.493321.5711157.749495e-08
1.499811.5710287.822134e-08
1.506321.570947.895088e-08
1.512871.5708517.968359e-08
1.519441.5707628.041949e-08
1.526041.5706738.115858e-08
1.532671.5705838.190088e-08
1.539331.5704928.264641e-08
1.546011.5704018.339517e-08
1.552731.5703098.414719e-08
1.559481.5702178.490247e-08
1.566251.5701248.566104e-08
1.573051.5700318.642290e-08
1.579891.5699368.718807e-08
1.586751.5698428.795657e-08
1.593641.5697478.872840e-08
1.61.5696598.944000e-08
1.600571.5696518.980077e-08
1.607521.5695549.421782e-08
1.61451.5694579.865405e-08
1.621521.569361.031096e-07
1.628561.5692611.075844e-07
1.635641.5691621.120787e-07
1.642741.5690631.165926e-07
1.649881.5689621.211260e-07
1.657051.5688611.256791e-07
1.664251.568761.302520e-07
1.671481.5686571.348448e-07
1.678741.5685541.394575e-07
1.686031.568451.440903e-07
1.693351.5683461.487432e-07
1.700711.568241.534163e-07
1.70811.5681341.581097e-07
1.715521.5680281.628235e-07
1.722971.567921.675578e-07
1.730461.5678121.723126e-07
1.737971.5677031.770881e-07
1.745521.5675931.818844e-07
1.753111.5674821.867014e-07
1.760721.567371.915394e-07
1.768371.5672581.963985e-07
1.776051.5671452.012786e-07
1.783771.5670312.061799e-07
1.791521.5669162.111026e-07
1.79931.56682.160466e-07
1.81.566792.164900e-07
1.807121.5666842.231266e-07
1.814971.5665662.304457e-07
1.822851.5664482.377965e-07
1.830771.5663282.451793e-07
1.838731.5662082.525942e-07
1.846711.5660872.600413e-07
1.854741.5659652.675207e-07
1.862791.5658422.750326e-07
1.870891.5657182.825772e-07
1.879011.5655932.901545e-07
1.887181.5654672.977648e-07
1.895371.565343.054081e-07
1.903611.5652123.130846e-07
1.911881.5650833.207945e-07
1.920181.5649533.285378e-07
1.928531.5648223.363148e-07
1.93691.5646893.441256e-07
1.945321.5645563.519703e-07
1.953771.5644223.598491e-07
1.962261.5642863.677621e-07
1.970781.564153.757095e-07
1.979341.5640123.836914e-07
1.987941.5638733.917080e-07
1.996581.5637333.997594e-07
21.5636784.029500e-07
2.005251.5635924.277115e-07
2.013961.563454.687873e-07
2.022711.5633065.100416e-07
2.03151.5631625.514752e-07
2.040321.5630165.930887e-07
2.049191.5628696.348830e-07
2.058091.562726.768589e-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
—