Optical constants

Refractive index of Q-SK12S (HIKARI)

Q-SK12S: 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
1.58593
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.51517
Permittivity ε2
4.11088e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
59.622
Chromatic dispersion dn/dλ
-0.050848 µm⁻¹
Group index ng
1.61581
Group velocity dispersion
87.7605 fs²/mm
Dispersion parameter D
-478.78 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-SK12S (HIKARI): Q-SK12S
hikari_q_sk12s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "Q-SK12S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_q_sk12s.range_nm)  # (365.015, 2058.09) nm
eps = hikari_q_sk12s.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=2.47648136−0.0102815826⁢λ2.0−0.000104525542⁢λ4.0+0.0141032606⁢λ−2.0+0.000147282182⁢λ−4.0+7.20217001×10-6⁢λ−6.0−1.1548098×10-7⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.47648136
C2-0.0102815826
C32.0
C4-0.000104525542
C54.0
C60.0141032606
C7-2.0
C80.000147282182
C9-4.0
C107.20217001e-06
C11-6.0
C12-1.1548098e-07
C13-8.0

Comments and conditions

For mold lens

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 4.6348e-06 1.1491e-08 6.2069e-14 4.866e-07 6.0156e-10 0.19739
nd
1.585930
Vd
59.621704
glass status
preferred
density
value: 2800
thermal expansion
value: 6.7e-06, temperature range: 243 343
dPgF
-0.0039
resistance
phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.85e-06 K⁻¹ at 633 nm, dn/dT = 2.30e-06 K⁻¹ at 1310 nm, dn/dT = 2.25e-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-SK12S (HIKARI), Q-SK12S: n and k versus wavelength
λ (µm)nk
0.3650151.6099497.349584e-08
0.3666011.6095976.903872e-08
0.3681931.6092486.456224e-08
0.3697931.6089036.006632e-08
0.371.6088595.948400e-08
0.3713991.6085625.669731e-08
0.3730131.6082245.348413e-08
0.3746331.6078895.025699e-08
0.3762611.6075584.701584e-08
0.3778951.607234.376060e-08
0.3795371.6069054.049123e-08
0.381.6068143.956900e-08
0.3811861.6065843.894757e-08
0.3828421.6062663.807968e-08
0.3845051.6059513.720802e-08
0.3861751.6056393.633257e-08
0.3878531.605333.545332e-08
0.3895381.6050243.457026e-08
0.391.6049413.432800e-08
0.391231.6047223.325039e-08
0.392931.6044223.176137e-08
0.3946371.6041253.026589e-08
0.3963511.6038322.876391e-08
0.3980731.6035412.725540e-08
0.3998021.6032532.574035e-08
0.41.603222.556700e-08
0.4015391.6029682.566542e-08
0.4032831.6026852.577697e-08
0.4050351.6024062.588901e-08
0.4067951.6021292.600153e-08
0.4085621.6018542.611455e-08
0.4103371.6015832.622805e-08
0.412121.6013142.634205e-08
0.413911.6010482.645654e-08
0.4157081.6007842.657153e-08
0.4175141.6005232.668702e-08
0.4193281.6002642.680301e-08
0.421.6001692.684600e-08
0.4211491.6000082.671669e-08
0.4229791.5997542.651086e-08
0.4248171.5995032.630414e-08
0.4266621.5992542.609652e-08
0.4285161.5990072.588800e-08
0.4303771.5987632.567858e-08
0.4322471.5985212.546824e-08
0.4341251.5982812.525699e-08
0.436011.5980442.504482e-08
0.4379051.5978092.483173e-08
0.4398071.5975762.461772e-08
0.441.5975532.459600e-08
0.4417181.5973452.437563e-08
0.4436371.5971172.412943e-08
0.4455641.596892.388217e-08
0.4474991.5966662.363383e-08
0.4494431.5964442.338440e-08
0.4513961.5962242.313390e-08
0.4533571.5960052.288231e-08
0.4553261.5957892.262962e-08
0.4573041.5955752.237584e-08
0.4592911.5953632.212095e-08
0.461.5952882.203000e-08
0.4612861.5951532.159779e-08
0.463291.5949442.092446e-08
0.4653031.5947382.024822e-08
0.4673241.5945341.956903e-08
0.4693541.5943311.888690e-08
0.4713931.594131.820180e-08
0.4734411.5939311.751372e-08
0.4754981.5937341.682266e-08
0.4775641.5935391.612859e-08
0.4796381.5933451.543151e-08
0.481.5933111.531000e-08
0.4817221.5931531.502113e-08
0.4838151.5929631.467008e-08
0.4859171.5927741.431750e-08
0.4880271.5925881.396339e-08
0.4901481.5924021.360774e-08
0.4922771.5922191.325055e-08
0.4944151.5920371.289180e-08
0.4965631.5918571.253150e-08
0.4987211.5916781.216963e-08
0.51.5915731.195500e-08
0.5008871.5915011.189836e-08
0.5030631.5913251.175941e-08
0.5052481.5911511.161986e-08
0.5074431.5909791.147971e-08
0.5096481.5908081.133895e-08
0.5118621.5906381.119757e-08
0.5140861.590471.105558e-08
0.5163191.5903041.091298e-08
0.5185621.5901391.076975e-08
0.5208151.5899751.062591e-08
0.5230771.5898131.048143e-08
0.5253491.5896521.033633e-08
0.5276321.5894921.019060e-08
0.5299241.5893341.004424e-08
0.5322261.5891779.897240e-09
0.5345381.5890219.749603e-09
0.536861.5888679.601324e-09
0.5391931.5887149.452400e-09
0.5415351.5885639.302830e-09
0.5438871.5884129.152610e-09
0.546251.5882639.001737e-09
0.5486231.5881158.850209e-09
0.551.588038.762300e-09
0.5510071.5879688.874693e-09
0.55341.5878239.141960e-09
0.5558041.5876799.410387e-09
0.5582191.5875369.679981e-09
0.5606441.5873949.950746e-09
0.563081.5872531.022269e-08
0.5655261.5871131.049581e-08
0.5679821.5869751.077012e-08
0.570451.5868381.104562e-08
0.5729281.5867011.132232e-08
0.5754171.5865661.160022e-08
0.5779171.5864321.187932e-08
0.5804271.5862991.215964e-08
0.5829491.5861671.244118e-08
0.5854811.5860361.272394e-08
0.5880251.5859061.300793e-08
0.5905791.5857781.329315e-08
0.5931451.585651.357961e-08
0.5957221.5855231.386732e-08
0.598311.5853971.415627e-08
0.61.5853161.434500e-08
0.6009091.5852721.446110e-08
0.6035191.5851481.479457e-08
0.6061411.5850251.512948e-08
0.6087741.5849031.546585e-08
0.6114191.5847821.580367e-08
0.6140751.5846621.614297e-08
0.6167431.5845431.648374e-08
0.6194221.5844251.682599e-08
0.6221131.5843071.716973e-08
0.6248161.5841911.751496e-08
0.627531.5840751.786169e-08
0.6302561.583961.820993e-08
0.6329941.5838461.855968e-08
0.6357441.5837331.891095e-08
0.6385061.583621.926374e-08
0.641281.5835091.961807e-08
0.6440661.5833981.997394e-08
0.6468641.5832882.033135e-08
0.6496741.5831792.069031e-08
0.651.5831672.073200e-08
0.6524961.5830712.081157e-08
0.6553311.5829632.090194e-08
0.6581781.5828562.099270e-08
0.6610371.582752.108385e-08
0.6639081.5826452.117540e-08
0.6667931.582542.126735e-08
0.6696891.5824362.135970e-08
0.6725991.5823332.145244e-08
0.6755211.5822312.154560e-08
0.6784551.5821292.163915e-08
0.6814031.5820282.173311e-08
0.6843631.5819282.182748e-08
0.6873361.5818282.192226e-08
0.6903221.5817292.201746e-08
0.6933211.581632.211306e-08
0.6963331.5815332.220908e-08
0.6993581.5814352.230552e-08
0.71.5814152.232600e-08
0.7023961.5813392.317001e-08
0.7054471.5812432.424498e-08
0.7085121.5811482.532461e-08
0.711591.5810532.640894e-08
0.7146811.5809592.749798e-08
0.7177861.5808652.859175e-08
0.7209041.5807732.969027e-08
0.7240361.580683.079356e-08
0.7271811.5805883.190165e-08
0.730341.5804973.301455e-08
0.7335131.5804073.413229e-08
0.73671.5803163.525488e-08
0.73991.5802273.638234e-08
0.7431141.5801383.751471e-08
0.7463421.5800493.865199e-08
0.7495851.5799613.979422e-08
0.7528411.5798744.094140e-08
0.7561121.5797874.209358e-08
0.7593961.57974.325075e-08
0.7626951.5796144.441295e-08
0.7660091.5795294.558021e-08
0.7693361.5794434.675253e-08
0.7726791.5793594.792995e-08
0.7760351.5792754.911248e-08
0.7794071.5791915.030014e-08
0.7827931.5791075.149297e-08
0.7861931.5790255.269098e-08
0.7896091.5789425.389419e-08
0.7930391.578865.510263e-08
0.7964841.5787795.631633e-08
0.7999441.5786975.753529e-08
0.81.5786965.755500e-08
0.8034191.5786165.583209e-08
0.8069091.5785365.407338e-08
0.8104151.5784565.230703e-08
0.8139351.5783765.053300e-08
0.8174711.5782974.875127e-08
0.8210231.5782184.696180e-08
0.8245891.578144.516455e-08
0.8281721.5780614.335950e-08
0.8317691.5779844.154660e-08
0.8353831.5779063.972583e-08
0.8390121.5778293.789715e-08
0.8426571.5777523.606053e-08
0.8463171.5776763.421592e-08
0.8499941.5775993.236330e-08
0.8536871.5775233.050264e-08
0.8573951.5774482.863389e-08
0.861121.5773732.675702e-08
0.8648611.5772982.487200e-08
0.8686181.5772232.297879e-08
0.8723911.5771482.107736e-08
0.8761811.5770741.916767e-08
0.8799881.5771.724968e-08
0.8838111.5769271.532335e-08
0.887651.5768531.338866e-08
0.8915061.576781.144557e-08
0.8953791.5767079.494029e-09
0.8992691.5766357.534015e-09
0.91.5766217.165600e-09
0.9031751.5765627.697287e-09
0.9070991.576498.354232e-09
0.911041.5764189.014030e-09
0.9149981.5763469.676696e-09
0.9189721.5762751.034224e-08
0.9229651.5762031.101068e-08
0.9269741.5761321.168201e-08
0.9310011.5760611.235627e-08
0.9350461.5759911.303345e-08
0.9391081.575921.371358e-08
0.9431881.575851.439666e-08
0.9472851.5757791.508271e-08
0.95141.5757091.577174e-08
0.9555331.5756391.646376e-08
0.9596841.5755691.715879e-08
0.9638531.57551.785684e-08
0.9680411.575431.855792e-08
0.9722461.5753611.926205e-08
0.976471.5752921.996923e-08
0.9807121.5752232.067949e-08
0.9849721.5751542.139283e-08
0.9892511.5750852.210927e-08
0.9935491.5750162.282883e-08
0.9978651.5749472.355151e-08
11.5749142.390900e-08
1.00221.5748792.375111e-08
1.006551.574812.343862e-08
1.010931.5747422.312477e-08
1.015321.5746742.280956e-08
1.019731.5746052.249298e-08
1.024161.5745372.217502e-08
1.028611.5744692.185568e-08
1.033081.5744012.153496e-08
1.037561.5743332.121284e-08
1.042071.5742652.088932e-08
1.04661.5741972.056440e-08
1.051151.5741292.023806e-08
1.055711.5740621.991031e-08
1.06031.5739941.958113e-08
1.06491.5739261.925052e-08
1.069531.5738581.891848e-08
1.074181.5737911.858500e-08
1.078841.5737231.825006e-08
1.083531.5736551.791367e-08
1.088241.5735871.757582e-08
1.092961.5735191.723651e-08
1.097711.5734521.689571e-08
1.102481.5733841.655344e-08
1.107271.5733161.620968e-08
1.112081.5732481.586443e-08
1.116911.573181.551768e-08
1.121761.5731121.516942e-08
1.126641.5730441.481964e-08
1.131531.5729761.446835e-08
1.136451.5729081.411554e-08
1.141381.572841.376119e-08
1.146341.5727721.340530e-08
1.151321.5727031.304786e-08
1.156321.5726351.268887e-08
1.161351.5725661.232832e-08
1.166391.5724981.196621e-08
1.171461.5724291.160252e-08
1.176551.572361.123725e-08
1.181661.5722911.087040e-08
1.186791.5722221.050195e-08
1.191951.5721531.013190e-08
1.197131.5720849.760247e-09
1.21.5720459.554100e-09
1.202331.5720141.035400e-08
1.207551.5719451.214832e-08
1.21281.5718751.395043e-08
1.218071.5718051.576038e-08
1.223361.5717351.757819e-08
1.228671.5716651.940389e-08
1.234011.5715952.123753e-08
1.239371.5715242.307913e-08
1.244751.5714532.492874e-08
1.250161.5713822.678637e-08
1.255591.5713112.865208e-08
1.261051.571243.052590e-08
1.266531.5711693.240785e-08
1.272031.5710973.429798e-08
1.277551.5710253.619632e-08
1.28311.5709533.810291e-08
1.288681.5708814.001778e-08
1.294281.5708084.194096e-08
1.29991.5707354.387251e-08
1.305551.5706624.581244e-08
1.311221.5705894.776080e-08
1.316911.5705154.971763e-08
1.322641.5704425.168296e-08
1.328381.5703675.365682e-08
1.334151.5702935.563926e-08
1.339951.5702185.763031e-08
1.345771.5701445.963001e-08
1.351621.5700686.163840e-08
1.357491.5699936.365551e-08
1.363381.5699176.568139e-08
1.369311.5698416.771607e-08
1.375261.5697656.975958e-08
1.381231.5696887.181198e-08
1.387231.5696117.387329e-08
1.393261.5695337.594355e-08
1.399311.5694567.802281e-08
1.41.5694477.826000e-08
1.405391.5693777.821592e-08
1.411491.5692997.816598e-08
1.417631.569227.811582e-08
1.423781.5691417.806545e-08
1.429971.5690617.801485e-08
1.436181.5689817.796403e-08
1.442421.5689017.791300e-08
1.448691.568827.786174e-08
1.454981.5687397.781026e-08
1.46131.5686587.775856e-08
1.467651.5685767.770663e-08
1.474031.5684937.765447e-08
1.480431.5684117.760209e-08
1.486861.5683277.754949e-08
1.493321.5682447.749665e-08
1.499811.568167.744358e-08
1.506321.5680757.739029e-08
1.512871.567997.733676e-08
1.519441.5679047.728300e-08
1.526041.5678187.722900e-08
1.532671.5677327.717477e-08
1.539331.5676457.712031e-08
1.546011.5675577.706561e-08
1.552731.567477.701067e-08
1.559481.5673817.695549e-08
1.566251.5672927.690007e-08
1.573051.5672027.684441e-08
1.579891.5671127.678852e-08
1.586751.5670227.673237e-08
1.593641.5669317.667599e-08
1.61.5668467.662400e-08
1.600571.5668397.706248e-08
1.607521.5667478.243094e-08
1.61451.5666548.782272e-08
1.621521.566569.323792e-08
1.628561.5664669.867665e-08
1.635641.5663711.041390e-07
1.642741.5662761.096251e-07
1.649881.566181.151350e-07
1.657051.5660841.206689e-07
1.664251.5659871.262268e-07
1.671481.5658891.318088e-07
1.678741.565791.374151e-07
1.686031.5656911.430457e-07
1.693351.5655911.487008e-07
1.700711.5654911.543805e-07
1.70811.565391.600849e-07
1.715521.5652881.658140e-07
1.722971.5651861.715680e-07
1.730461.5650821.773470e-07
1.737971.5649781.831511e-07
1.745521.5648741.889805e-07
1.753111.5647681.948351e-07
1.760721.5646622.007152e-07
1.768371.5645552.066208e-07
1.776051.5644472.125521e-07
1.783771.5643392.185092e-07
1.791521.564232.244921e-07
1.79931.5641192.305011e-07
1.81.564112.310400e-07
1.807121.5640092.359977e-07
1.814971.5638972.414652e-07
1.822851.5637842.469565e-07
1.830771.5636712.524716e-07
1.838731.5635572.580107e-07
1.846711.5634422.635738e-07
1.854741.5633262.691611e-07
1.862791.5632092.747727e-07
1.870891.5630912.804087e-07
1.879011.5629732.860691e-07
1.887181.5628532.917542e-07
1.895371.5627332.974639e-07
1.903611.5626113.031984e-07
1.911881.5624893.089579e-07
1.920181.5623663.147424e-07
1.928531.5622423.205519e-07
1.93691.5621163.263868e-07
1.945321.561993.322470e-07
1.953771.5618633.381326e-07
1.962261.5617353.440438e-07
1.970781.5616063.499807e-07
1.979341.5614753.559434e-07
1.987941.5613443.619320e-07
1.996581.5612123.679466e-07
21.5611593.703300e-07
2.005251.5610783.959480e-07
2.013961.5609444.384446e-07
2.022711.5608084.811259e-07
2.03151.5606715.239926e-07
2.040321.5605345.670456e-07
2.049191.5603956.102855e-07
2.058091.5602546.537134e-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
—