Optical constants

Refractive index of Q-SK15S (HIKARI)

Q-SK15S: 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
1.62291
Extinction coefficient k
4.00856e-08
Permittivity ε1
2.63383
Permittivity ε2
1.30110e-07
Absorption coefficient α
0.00857268 cm⁻¹
Penetration depth δ = λ/(2πk)
2.33299e+09 nm
Abbe number Vd
58.302
Chromatic dispersion dn/dλ
-0.0551807 µm⁻¹
Group index ng
1.65533
Group velocity dispersion
96.6066 fs²/mm
Dispersion parameter D
-527.04 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-SK15S (HIKARI): Q-SK15S
hikari_q_sk15s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-SK15S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_sk15s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_sk15s.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=2.59073686−0.0106523029⁢λ2.0−9.98472173×10-5⁢λ4.0+0.0154224112⁢λ−2.0+0.000252371925⁢λ−4.0−9.42642262×10-7⁢λ−6.0+3.09905553×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.59073686
C2-0.0106523029
C32.0
C4-9.98472173e-05
C54.0
C60.0154224112
C7-2.0
C80.000252371925
C9-4.0
C10-9.42642262e-07
C11-6.0
C123.09905553e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 2.4352e-06 1.2226e-08 1.1398e-12 5.4358e-07 7.0781e-10 0.17516
nd
1.622910
Vd
58.302401
density
value: 3250
thermal expansion
value: 7.1e-06, temperature range: 243 343
dPgF
-0.0027
resistance
phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.96e-06 K⁻¹ at 633 nm, dn/dT = 1.36e-06 K⁻¹ at 1310 nm, dn/dT = 1.31e-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-SK15S (HIKARI), Q-SK15S: n and k versus wavelength
λ (µm)nk
0.3650151.6492038.841112e-08
0.3666011.6488158.208096e-08
0.3681931.6484317.572331e-08
0.3697931.6480516.933803e-08
0.371.6480026.851100e-08
0.3713991.6476756.661020e-08
0.3730131.6473036.441849e-08
0.3746331.6469356.221727e-08
0.3762611.6465716.000648e-08
0.3778951.646215.778609e-08
0.3795371.6458535.555605e-08
0.381.6457535.492700e-08
0.3811861.6454995.360244e-08
0.3828421.645155.175256e-08
0.3845051.6448034.989465e-08
0.3861751.6444614.802867e-08
0.3878531.6441214.615459e-08
0.3895381.6437864.427236e-08
0.391.6436944.375600e-08
0.391231.6434534.310065e-08
0.392931.6431244.219511e-08
0.3946371.6427984.128563e-08
0.3963511.6424764.037220e-08
0.3980731.6421563.945480e-08
0.3998021.641843.853342e-08
0.41.6418043.842800e-08
0.4015391.6415273.857590e-08
0.4032831.6412173.874353e-08
0.4050351.640913.891189e-08
0.4067951.6406063.908099e-08
0.4085621.6403063.925082e-08
0.4103371.6400083.942138e-08
0.412121.6397133.959269e-08
0.413911.6394213.976474e-08
0.4157081.6391313.993754e-08
0.4175141.6388454.011109e-08
0.4193281.6385614.028540e-08
0.421.6384574.035000e-08
0.4211491.638284.046040e-08
0.4229791.6380024.063613e-08
0.4248171.6377274.081263e-08
0.4266621.6374544.098989e-08
0.4285161.6371844.116792e-08
0.4303771.6369164.134672e-08
0.4322471.6366514.152630e-08
0.4341251.6363894.170666e-08
0.436011.6361294.188781e-08
0.4379051.6358714.206974e-08
0.4398071.6356164.225246e-08
0.441.635594.227100e-08
0.4417181.6353634.180029e-08
0.4436371.6351134.127441e-08
0.4455641.6348654.074625e-08
0.4474991.634624.021579e-08
0.4494431.6343773.968302e-08
0.4513961.6341363.914794e-08
0.4533571.6338973.861054e-08
0.4553261.633663.807080e-08
0.4573041.6334263.752872e-08
0.4592911.6331943.698428e-08
0.461.6331123.679000e-08
0.4612861.6329643.664484e-08
0.463291.6327363.641869e-08
0.4653031.6325113.619156e-08
0.4673241.6322873.596345e-08
0.4693541.6320653.573435e-08
0.4713931.6318463.550425e-08
0.4734411.6316283.527315e-08
0.4754981.6314133.504105e-08
0.4775641.6311993.480793e-08
0.4796381.6309883.457381e-08
0.481.6309513.453300e-08
0.4817221.6307783.431137e-08
0.4838151.630573.404204e-08
0.4859171.6303653.377154e-08
0.4880271.630163.349986e-08
0.4901481.6299583.322700e-08
0.4922771.6297583.295296e-08
0.4944151.6295593.267773e-08
0.4965631.6293633.240130e-08
0.4987211.6291683.212367e-08
0.51.6290533.195900e-08
0.5008871.6289743.193746e-08
0.5030631.6287833.188463e-08
0.5052481.6285933.183157e-08
0.5074431.6284053.177827e-08
0.5096481.6282183.172475e-08
0.5118621.6280333.167099e-08
0.5140861.627853.161700e-08
0.5163191.6276683.156278e-08
0.5185621.6274883.150832e-08
0.5208151.627313.145362e-08
0.5230771.6271333.139869e-08
0.5253491.6269583.134351e-08
0.5276321.6267843.128810e-08
0.5299241.6266113.123245e-08
0.5322261.626443.117655e-08
0.5345381.6262713.112041e-08
0.536861.6261033.106403e-08
0.5391931.6259373.100741e-08
0.5415351.6257713.095053e-08
0.5438871.6256083.089341e-08
0.546251.6254453.083604e-08
0.5486231.6252853.077843e-08
0.551.6251923.074500e-08
0.5510071.6251253.099507e-08
0.55341.6249673.158971e-08
0.5558041.624813.218694e-08
0.5582191.6246543.278676e-08
0.5606441.62453.338918e-08
0.563081.6243473.399423e-08
0.5655261.6241953.460190e-08
0.5679821.6240453.521221e-08
0.570451.6238963.582518e-08
0.5729281.6237483.644080e-08
0.5754171.6236013.705910e-08
0.5779171.6234553.768009e-08
0.5804271.6233113.830377e-08
0.5829491.6231673.893017e-08
0.5854811.6230253.955928e-08
0.5880251.6228844.019113e-08
0.5905791.6227454.082573e-08
0.5931451.6226064.146308e-08
0.5957221.6224684.210319e-08
0.598311.6223324.274609e-08
0.61.6222444.316600e-08
0.6009091.6221974.323140e-08
0.6035191.6220624.341925e-08
0.6061411.6219294.360792e-08
0.6087741.6217974.379741e-08
0.6114191.6216664.398772e-08
0.6140751.6215354.417885e-08
0.6167431.6214064.437082e-08
0.6194221.6212784.456362e-08
0.6221131.6211514.475726e-08
0.6248161.6210254.495174e-08
0.627531.6208994.514706e-08
0.6302561.6207754.534324e-08
0.6329941.6206524.554026e-08
0.6357441.6205294.573814e-08
0.6385061.6204084.593688e-08
0.641281.6202874.613649e-08
0.6440661.6201684.633696e-08
0.6468641.6200494.653830e-08
0.6496741.6199314.674052e-08
0.651.6199174.676400e-08
0.6524961.6198144.666311e-08
0.6553311.6196984.654854e-08
0.6581781.6195824.643347e-08
0.6610371.6194684.631789e-08
0.6639081.6193544.620182e-08
0.6667931.6192414.608524e-08
0.6696891.6191294.596816e-08
0.6725991.6190184.585056e-08
0.6755211.6189074.573246e-08
0.6784551.6187984.561384e-08
0.6814031.6186894.549471e-08
0.6843631.618584.537506e-08
0.6873361.6184734.525489e-08
0.6903221.6183664.513420e-08
0.6933211.618264.501298e-08
0.6963331.6181554.489124e-08
0.6993581.618054.476897e-08
0.71.6180284.474300e-08
0.7023961.6179474.520392e-08
0.7054471.6178434.579098e-08
0.7085121.6177414.638058e-08
0.711591.6176394.697275e-08
0.7146811.6175384.756748e-08
0.7177861.6174384.816480e-08
0.7209041.6173384.876472e-08
0.7240361.6172394.936724e-08
0.7271811.617144.997238e-08
0.730341.6170425.058015e-08
0.7335131.6169455.119056e-08
0.73671.6168485.180362e-08
0.73991.6167525.241935e-08
0.7431141.6166565.303774e-08
0.7463421.6165615.365883e-08
0.7495851.6164675.428261e-08
0.7528411.6163735.490911e-08
0.7561121.616285.553832e-08
0.7593961.6161875.617027e-08
0.7626951.6160955.680496e-08
0.7660091.6160035.744241e-08
0.7693361.6159125.808263e-08
0.7726791.6158225.872564e-08
0.7760351.6157315.937143e-08
0.7794071.6156426.002003e-08
0.7827931.6155536.067145e-08
0.7861931.6154646.132570e-08
0.7896091.6153766.198279e-08
0.7930391.6152886.264273e-08
0.7964841.6152016.330554e-08
0.7999441.6151156.397124e-08
0.81.6151136.398200e-08
0.8034191.6150286.302182e-08
0.8069091.6149426.204169e-08
0.8104151.6148576.105731e-08
0.8139351.6147726.006864e-08
0.8174711.6146885.907568e-08
0.8210231.6146035.807841e-08
0.8245891.614525.707681e-08
0.8281721.6144365.607085e-08
0.8317691.6143535.506052e-08
0.8353831.6142715.404581e-08
0.8390121.6141895.302669e-08
0.8426571.6141075.200313e-08
0.8463171.6140265.097514e-08
0.8499941.6139454.994267e-08
0.8536871.6138644.890573e-08
0.8573951.6137834.786427e-08
0.861121.6137034.681830e-08
0.8648611.6136244.576777e-08
0.8686181.6135444.471269e-08
0.8723911.6134654.365302e-08
0.8761811.6133874.258875e-08
0.8799881.6133084.151985e-08
0.8838111.613234.044631e-08
0.887651.6131523.936811e-08
0.8915061.6130753.828522e-08
0.8953791.6129983.719763e-08
0.8992691.6129213.610532e-08
0.91.6129063.590000e-08
0.9031751.6128443.628074e-08
0.9070991.6127683.675118e-08
0.911041.6126913.722367e-08
0.9149981.6126153.769820e-08
0.9189721.612543.817480e-08
0.9229651.6124643.865347e-08
0.9269741.6123893.913422e-08
0.9310011.6123143.961705e-08
0.9350461.6122394.010199e-08
0.9391081.6121654.058903e-08
0.9431881.6120914.107819e-08
0.9472851.6120164.156947e-08
0.95141.6119424.206288e-08
0.9555331.6118694.255844e-08
0.9596841.6117954.305615e-08
0.9638531.6117224.355603e-08
0.9680411.6116494.405807e-08
0.9722461.6115764.456230e-08
0.976471.6115034.506872e-08
0.9807121.611434.557734e-08
0.9849721.6113574.608816e-08
0.9892511.6112854.660121e-08
0.9935491.6112134.711648e-08
0.9978651.611144.763400e-08
11.6111054.789000e-08
1.00221.6110684.757353e-08
1.006551.6109964.694720e-08
1.010931.6109254.631814e-08
1.015321.6108534.568635e-08
1.019731.6107814.505181e-08
1.024161.610714.441452e-08
1.028611.6106384.377446e-08
1.033081.6105674.313162e-08
1.037561.6104964.248599e-08
1.042071.6104254.183755e-08
1.04661.6103534.118630e-08
1.051151.6102824.053221e-08
1.055711.6102113.987529e-08
1.06031.610143.921551e-08
1.06491.610073.855286e-08
1.069531.6099993.788734e-08
1.074181.6099283.721892e-08
1.078841.6098573.654761e-08
1.083531.6097863.587337e-08
1.088241.6097163.519620e-08
1.092961.6096453.451610e-08
1.097711.6095743.383304e-08
1.102481.6095033.314701e-08
1.107271.6094333.245800e-08
1.112081.6093623.176600e-08
1.116911.6092913.107099e-08
1.121761.609223.037296e-08
1.126641.6091492.967190e-08
1.131531.6090782.896780e-08
1.136451.6090072.826064e-08
1.141381.6089372.755040e-08
1.146341.6088652.683708e-08
1.151321.6087942.612066e-08
1.156321.6087232.540112e-08
1.161351.6086522.467847e-08
1.166391.6085812.395267e-08
1.171461.6085092.322372e-08
1.176551.6084382.249160e-08
1.181661.6083662.175630e-08
1.186791.6082952.101781e-08
1.191951.6082232.027611e-08
1.197131.6081511.953119e-08
1.21.6081111.911800e-08
1.202331.6080791.980655e-08
1.207551.6080072.135110e-08
1.21281.6079352.290236e-08
1.218071.6078622.446036e-08
1.223361.607792.602513e-08
1.228671.6077172.759670e-08
1.234011.6076442.917509e-08
1.239371.6075713.076034e-08
1.244751.6074983.235248e-08
1.250161.6074253.395153e-08
1.255591.6073523.555753e-08
1.261051.6072783.717051e-08
1.266531.6072043.879049e-08
1.272031.607134.041752e-08
1.277551.6070564.205161e-08
1.28311.6069814.369280e-08
1.288681.6069074.534111e-08
1.294281.6068324.699659e-08
1.29991.6067574.865927e-08
1.305551.6066825.032916e-08
1.311221.6066065.200631e-08
1.316911.606535.369074e-08
1.322641.6064545.538249e-08
1.328381.6063785.708160e-08
1.334151.6063015.878808e-08
1.339951.6062246.050198e-08
1.345771.6061476.222332e-08
1.351621.606076.395214e-08
1.357491.6059926.568847e-08
1.363381.6059146.743234e-08
1.369311.6058366.918379e-08
1.375261.6057587.094285e-08
1.381231.6056797.270955e-08
1.387231.60567.448392e-08
1.393261.605527.626600e-08
1.399311.605447.805583e-08
1.41.6054317.826000e-08
1.405391.605367.890689e-08
1.411491.6052797.963983e-08
1.417631.6051998.037596e-08
1.423781.6051178.111529e-08
1.429971.6050368.185783e-08
1.436181.6049548.260359e-08
1.442421.6048718.335260e-08
1.448691.6047898.410486e-08
1.454981.6047068.486039e-08
1.46131.6046228.561919e-08
1.467651.6045388.638130e-08
1.474031.6044548.714672e-08
1.480431.6043698.791546e-08
1.486861.6042848.868754e-08
1.493321.6041988.946297e-08
1.499811.6041129.024178e-08
1.506321.6040269.102396e-08
1.512871.6039399.180955e-08
1.519441.6038519.259855e-08
1.526041.6037639.339097e-08
1.532671.6036759.418684e-08
1.539331.6035869.498617e-08
1.546011.6034979.578896e-08
1.552731.6034079.659525e-08
1.559481.6033179.740504e-08
1.566251.6032269.821834e-08
1.573051.6031349.903518e-08
1.579891.6030439.985557e-08
1.586751.602951.006795e-07
1.593641.6028571.015071e-07
1.61.6027711.022700e-07
1.600571.6027631.026357e-07
1.607521.6026691.071125e-07
1.61451.6025751.116088e-07
1.621521.6024791.161246e-07
1.628561.6023841.206601e-07
1.635641.6022871.252152e-07
1.642741.602191.297901e-07
1.649881.6020921.343850e-07
1.657051.6019941.389997e-07
1.664251.6018951.436345e-07
1.671481.6017961.482895e-07
1.678741.6016951.529647e-07
1.686031.6015951.576602e-07
1.693351.6014931.623760e-07
1.700711.6013911.671124e-07
1.70811.6012881.718694e-07
1.715521.6011841.766470e-07
1.722971.601081.814453e-07
1.730461.6009751.862646e-07
1.737971.600871.911047e-07
1.745521.6007631.959659e-07
1.753111.6006562.008482e-07
1.760721.6005482.057517e-07
1.768371.600442.106765e-07
1.776051.600332.156227e-07
1.783771.600222.205904e-07
1.791521.6001092.255796e-07
1.79931.5999972.305906e-07
1.81.5999872.310400e-07
1.807121.5998852.383219e-07
1.814971.5997712.463526e-07
1.822851.5996572.544182e-07
1.830771.5995422.625189e-07
1.838731.5994262.706547e-07
1.846711.599312.788259e-07
1.854741.5991922.870326e-07
1.862791.5990742.952749e-07
1.870891.5989543.035530e-07
1.879011.5988343.118671e-07
1.887181.5987133.202173e-07
1.895371.5985913.286038e-07
1.903611.5984683.370267e-07
1.911881.5983443.454863e-07
1.920181.5982193.539825e-07
1.928531.5980933.625157e-07
1.93691.5979673.710859e-07
1.945321.5978393.796934e-07
1.953771.597713.883383e-07
1.962261.597583.970207e-07
1.970781.5974494.057408e-07
1.979341.5973184.144989e-07
1.987941.5971854.232949e-07
1.996581.5970514.321292e-07
21.5969984.356300e-07
2.005251.5969164.605259e-07
2.013961.596785.018248e-07
2.022711.5966435.433031e-07
2.03151.5965045.849615e-07
2.040321.5963656.268010e-07
2.049191.5962246.688222e-07
2.058091.5960837.110260e-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
—