Optical constants

Refractive index of J-SK5 (HIKARI)

J-SK5: 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
1.58913
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.52533
Permittivity ε2
5.61033e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
61.219
Chromatic dispersion dn/dλ
-0.0497929 µm⁻¹
Group index ng
1.61839
Group velocity dispersion
86.0211 fs²/mm
Dispersion parameter D
-469.291 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

# J-SK5 (HIKARI): J-SK5
hikari_j_sk5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SK5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sk5.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_sk5.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=2.4874828−0.0101006793⁢λ2.0−9.5107548×10-5⁢λ4.0+0.0137290228⁢λ−2.0+0.000182268499⁢λ−4.0+1.8798945×10-6⁢λ−6.0+9.76616911×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.4874828
C2-0.0101006793
C32.0
C4-9.5107548e-05
C54.0
C60.0137290228
C7-2.0
C80.000182268499
C9-4.0
C101.8798945e-06
C11-6.0
C129.76616911e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 3.5918e-06 1.5402e-08 -1.7573e-12 4.1638e-07 3.4617e-10 0.17609
nd
1.589130
Vd
61.219474
density
value: 3260
thermal expansion
value: 5.5e-06, temperature range: 243 343
dPgF
-0.0016
resistance
phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 2.26e-06 K⁻¹ at 633 nm, dn/dT = 1.80e-06 K⁻¹ at 1310 nm, dn/dT = 1.76e-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
J-SK5 (HIKARI), J-SK5: n and k versus wavelength
λ (µm)nk
0.3650151.6126221.245343e-07
0.3666011.6122781.144143e-07
0.3681931.6119381.042503e-07
0.3697931.6116019.404217e-08
0.371.6115589.272000e-08
0.3713991.6112688.829431e-08
0.3730131.6109388.319131e-08
0.3746331.6106117.806613e-08
0.3762611.6102887.291869e-08
0.3778951.6099676.774889e-08
0.3795371.609656.255663e-08
0.381.6095626.109200e-08
0.3811861.6093365.866342e-08
0.3828421.6090265.527168e-08
0.3845051.6087185.186521e-08
0.3861751.6084144.844394e-08
0.3878531.6081124.500781e-08
0.3895381.6078134.155674e-08
0.391.6077324.061000e-08
0.391231.6075183.915465e-08
0.392931.6072253.714369e-08
0.3946371.6069353.512399e-08
0.3963511.6066483.309552e-08
0.3980731.6063643.105824e-08
0.3998021.6060832.901211e-08
0.41.6060512.877800e-08
0.4015391.6058042.811132e-08
0.4032831.6055282.735565e-08
0.4050351.6052552.659670e-08
0.4067951.6049842.583446e-08
0.4085621.6047162.506890e-08
0.4103371.6044512.430002e-08
0.412121.6041882.352780e-08
0.413911.6039272.275222e-08
0.4157081.6036692.197327e-08
0.4175141.6034142.119094e-08
0.4193281.6031612.040522e-08
0.421.6030682.011400e-08
0.4211491.6029112.016906e-08
0.4229791.6026622.025669e-08
0.4248171.6024172.034471e-08
0.4266621.6021732.043311e-08
0.4285161.6019322.052189e-08
0.4303771.6016932.061106e-08
0.4322471.6014572.070062e-08
0.4341251.6012222.079057e-08
0.436011.600992.088090e-08
0.4379051.600762.097163e-08
0.4398071.6005322.106275e-08
0.441.6005092.107200e-08
0.4417181.6003062.083815e-08
0.4436371.6000832.057689e-08
0.4455641.5998612.031449e-08
0.4474991.5996422.005095e-08
0.4494431.5994241.978627e-08
0.4513961.5992091.952044e-08
0.4533571.5989951.925346e-08
0.4553261.5987841.898531e-08
0.4573041.5985741.871600e-08
0.4592911.5983671.844552e-08
0.461.5982931.834900e-08
0.4612861.5981611.815354e-08
0.463291.5979571.784904e-08
0.4653031.5977551.754322e-08
0.4673241.5975551.723607e-08
0.4693541.5973561.692759e-08
0.4713931.597161.661776e-08
0.4734411.5969651.630659e-08
0.4754981.5967721.599407e-08
0.4775641.5965811.568019e-08
0.4796381.5963911.536495e-08
0.481.5963581.531000e-08
0.4817221.5962031.536485e-08
0.4838151.5960171.543150e-08
0.4859171.5958331.549844e-08
0.4880271.595651.556568e-08
0.4901481.5954681.563320e-08
0.4922771.5952891.570102e-08
0.4944151.5951111.576913e-08
0.4965631.5949341.583754e-08
0.4987211.5947591.590625e-08
0.51.5946571.594700e-08
0.5008871.5945861.589738e-08
0.5030631.5944141.577565e-08
0.5052481.5942431.565340e-08
0.5074431.5940751.553062e-08
0.5096481.5939071.540730e-08
0.5118621.5937411.528345e-08
0.5140861.5935771.515906e-08
0.5163191.5934131.503412e-08
0.5185621.5932521.490865e-08
0.5208151.5930911.478263e-08
0.5230771.5929321.465607e-08
0.5253491.5927751.452895e-08
0.5276321.5926181.440128e-08
0.5299241.5924631.427306e-08
0.5322261.592311.414428e-08
0.5345381.5921571.401494e-08
0.536861.5920061.388504e-08
0.5391931.5918571.375457e-08
0.5415351.5917081.362354e-08
0.5438871.5915611.349194e-08
0.546251.5914151.335976e-08
0.5486231.591271.322701e-08
0.551.5911871.315000e-08
0.5510071.5911261.327053e-08
0.55341.5909841.355715e-08
0.5558041.5908431.384502e-08
0.5582191.5907021.413414e-08
0.5606441.5905631.442451e-08
0.563081.5904261.471615e-08
0.5655261.5902891.500905e-08
0.5679821.5901531.530322e-08
0.570451.5900191.559868e-08
0.5729281.5898851.589541e-08
0.5754171.5897531.619344e-08
0.5779171.5896221.649276e-08
0.5804271.5894921.679338e-08
0.5829491.5893621.709530e-08
0.5854811.5892341.739854e-08
0.5880251.5891071.770310e-08
0.5905791.5889811.800897e-08
0.5931451.5888561.831618e-08
0.5957221.5887311.862472e-08
0.598311.5886081.893460e-08
0.61.5885291.913700e-08
0.6009091.5884861.926045e-08
0.6035191.5883651.961500e-08
0.6061411.5882441.997110e-08
0.6087741.5881252.032874e-08
0.6114191.5880062.068794e-08
0.6140751.5878892.104870e-08
0.6167431.5877722.141102e-08
0.6194221.5876562.177492e-08
0.6221131.5875412.214040e-08
0.6248161.5874272.250747e-08
0.627531.5873132.287613e-08
0.6302561.5872012.324640e-08
0.6329941.5870892.361827e-08
0.6357441.5869792.399176e-08
0.6385061.5868692.436687e-08
0.641281.5867592.474361e-08
0.6440661.5866512.512199e-08
0.6468641.5865432.550201e-08
0.6496741.5864372.588368e-08
0.651.5864242.592800e-08
0.6524961.5863312.630714e-08
0.6553311.5862252.673772e-08
0.6581781.5861212.717016e-08
0.6610371.5860172.760449e-08
0.6639081.5859142.804070e-08
0.6667931.5858112.847880e-08
0.6696891.585712.891881e-08
0.6725991.5856092.936073e-08
0.6755211.5855082.980457e-08
0.6784551.5854093.025034e-08
0.6814031.585313.069805e-08
0.6843631.5852123.114770e-08
0.6873361.5851143.159930e-08
0.6903221.5850173.205287e-08
0.6933211.5849213.250840e-08
0.6963331.5848253.296592e-08
0.6993581.584733.342542e-08
0.71.584713.352300e-08
0.7023961.5846363.409875e-08
0.7054471.5845423.483206e-08
0.7085121.5844493.556855e-08
0.711591.5843563.630824e-08
0.7146811.5842643.705115e-08
0.7177861.5841723.779728e-08
0.7209041.5840823.854665e-08
0.7240361.5839913.929928e-08
0.7271811.5839014.005518e-08
0.730341.5838124.081436e-08
0.7335131.5837244.157684e-08
0.73671.5836354.234263e-08
0.73991.5835484.311175e-08
0.7431141.5834614.388421e-08
0.7463421.5833744.466002e-08
0.7495851.5832884.543921e-08
0.7528411.5832024.622178e-08
0.7561121.5831174.700775e-08
0.7593961.5830334.779714e-08
0.7626951.5829484.858995e-08
0.7660091.5828654.938621e-08
0.7693361.5827815.018593e-08
0.7726791.5826995.098912e-08
0.7760351.5826165.179580e-08
0.7794071.5825345.260599e-08
0.7827931.5824535.341969e-08
0.7861931.5823725.423693e-08
0.7896091.5822915.505773e-08
0.7930391.5822115.588208e-08
0.7964841.5821315.671002e-08
0.7999441.5820525.754155e-08
0.81.582055.755500e-08
0.8034191.5819735.632283e-08
0.8069091.5818945.506505e-08
0.8104151.5818165.380181e-08
0.8139351.5817385.253308e-08
0.8174711.581665.125883e-08
0.8210231.5815834.997906e-08
0.8245891.5815074.869372e-08
0.8281721.581434.740280e-08
0.8317691.5813544.610627e-08
0.8353831.5812784.480411e-08
0.8390121.5812034.349629e-08
0.8426571.5811284.218279e-08
0.8463171.5810534.086359e-08
0.8499941.5809783.953865e-08
0.8536871.5809043.820796e-08
0.8573951.580833.687148e-08
0.861121.5807573.552920e-08
0.8648611.5806833.418109e-08
0.8686181.580613.282713e-08
0.8723911.5805383.146728e-08
0.8761811.5804653.010152e-08
0.8799881.5803932.872983e-08
0.8838111.5803212.735218e-08
0.887651.5802492.596855e-08
0.8915061.5801782.457890e-08
0.8953791.5801062.318322e-08
0.8992691.5800352.178148e-08
0.91.5800222.151800e-08
0.9031751.5799652.210137e-08
0.9070991.5798942.282218e-08
0.911041.5798242.354611e-08
0.9149981.5797542.427320e-08
0.9189721.5796842.500344e-08
0.9229651.5796142.573685e-08
0.9269741.5795442.647345e-08
0.9310011.5794752.721325e-08
0.9350461.5794062.795626e-08
0.9391081.5793372.870250e-08
0.9431881.5792682.945198e-08
0.9472851.5791993.020472e-08
0.95141.5791313.096073e-08
0.9555331.5790633.172002e-08
0.9596841.5789943.248261e-08
0.9638531.5789263.324852e-08
0.9680411.5788593.401775e-08
0.9722461.5787913.479032e-08
0.976471.5787233.556625e-08
0.9807121.5786563.634555e-08
0.9849721.5785883.712824e-08
0.9892511.5785213.791432e-08
0.9935491.5784543.870382e-08
0.9978651.5783873.949675e-08
11.5783543.988900e-08
1.00221.578323.976583e-08
1.006551.5782533.952206e-08
1.010931.5781863.927724e-08
1.015321.5781193.903134e-08
1.019731.5780533.878438e-08
1.024161.5779863.853635e-08
1.028611.5779193.828724e-08
1.033081.5778533.803705e-08
1.037561.5777873.778577e-08
1.042071.577723.753340e-08
1.04661.5776543.727993e-08
1.051151.5775883.702537e-08
1.055711.5775213.676969e-08
1.06031.5774553.651291e-08
1.06491.5773893.625501e-08
1.069531.5773233.599599e-08
1.074181.5772563.573584e-08
1.078841.577193.547456e-08
1.083531.5771243.521215e-08
1.088241.5770583.494860e-08
1.092961.5769923.468391e-08
1.097711.5769253.441806e-08
1.102481.5768593.415106e-08
1.107271.5767933.388290e-08
1.112081.5767273.361357e-08
1.116911.576663.334308e-08
1.121761.5765943.307141e-08
1.126641.5765273.279856e-08
1.131531.5764613.252452e-08
1.136451.5763943.224929e-08
1.141381.5763283.197287e-08
1.146341.5762613.169525e-08
1.151321.5761943.141642e-08
1.156321.5761283.113638e-08
1.161351.5760613.085512e-08
1.166391.5759943.057264e-08
1.171461.5759263.028894e-08
1.176551.5758593.000400e-08
1.181661.5757922.971782e-08
1.186791.5757242.943040e-08
1.191951.5756572.914173e-08
1.197131.5755892.885181e-08
1.21.5755522.869100e-08
1.202331.5755213.110979e-08
1.207551.5754533.653562e-08
1.21281.5753854.198502e-08
1.218071.5753174.745810e-08
1.223361.5752495.295495e-08
1.228671.575185.847568e-08
1.234011.5751116.402039e-08
1.239371.5750436.958920e-08
1.244751.5749747.518219e-08
1.250161.5749048.079948e-08
1.255591.5748358.644117e-08
1.261051.5747659.210738e-08
1.266531.5746959.779820e-08
1.272031.5746251.035137e-07
1.277551.5745551.092541e-07
1.28311.5744851.150194e-07
1.288681.5744141.208098e-07
1.294281.5743431.266253e-07
1.29991.5742721.324660e-07
1.305551.5742011.383322e-07
1.311221.5741291.442238e-07
1.316911.5740571.501410e-07
1.322641.5739851.560840e-07
1.328381.5739131.620527e-07
1.334151.573841.680474e-07
1.339951.5737681.740681e-07
1.345771.5736941.801150e-07
1.351621.5736211.861881e-07
1.357491.5735471.922877e-07
1.363381.5734731.984137e-07
1.369311.5733992.045663e-07
1.375261.5733242.107457e-07
1.381231.5732492.169519e-07
1.387231.5731742.231851e-07
1.393261.5730982.294453e-07
1.399311.5730222.357328e-07
1.41.5730142.364500e-07
1.405391.5729462.338738e-07
1.411491.572872.309548e-07
1.417631.5727932.280232e-07
1.423781.5727152.250788e-07
1.429971.5726382.221216e-07
1.436181.572562.191516e-07
1.442421.5724812.161687e-07
1.448691.5724022.131728e-07
1.454981.5723232.101639e-07
1.46131.5722432.071420e-07
1.467651.5721632.041069e-07
1.474031.5720832.010586e-07
1.480431.5720021.979971e-07
1.486861.5719211.949223e-07
1.493321.5718391.918341e-07
1.499811.5717571.887325e-07
1.506321.5716751.856174e-07
1.512871.5715921.824888e-07
1.519441.5715081.793466e-07
1.526041.5714241.761908e-07
1.532671.571341.730212e-07
1.539331.5712551.698379e-07
1.546011.5711691.666408e-07
1.552731.5710841.634297e-07
1.559481.5709971.602048e-07
1.566251.570911.569658e-07
1.573051.5708231.537127e-07
1.579891.5707351.504455e-07
1.586751.5706461.471641e-07
1.593641.5705571.438684e-07
1.61.5704751.408300e-07
1.600571.5704681.412934e-07
1.607521.5703781.469665e-07
1.61451.5702871.526643e-07
1.621521.5701961.583869e-07
1.628561.5701041.641343e-07
1.635641.5700121.699066e-07
1.642741.5699191.757041e-07
1.649881.5698251.815267e-07
1.657051.5697311.873747e-07
1.664251.5696361.932480e-07
1.671481.5695411.991469e-07
1.678741.5694452.050713e-07
1.686031.5693482.110216e-07
1.693351.5692512.169976e-07
1.700711.5691532.229996e-07
1.70811.5690542.290277e-07
1.715521.5689552.350820e-07
1.722971.5688552.411626e-07
1.730461.5687542.472696e-07
1.737971.5686522.534032e-07
1.745521.568552.595633e-07
1.753111.5684482.657503e-07
1.760721.5683442.719641e-07
1.768371.568242.782049e-07
1.776051.5681352.844728e-07
1.783771.5680292.907680e-07
1.791521.5679222.970905e-07
1.79931.5678153.034405e-07
1.81.5678053.040100e-07
1.807121.5677073.151352e-07
1.814971.5675983.274045e-07
1.822851.5674883.397270e-07
1.830771.5673773.521030e-07
1.838731.5672663.645329e-07
1.846711.5671543.770167e-07
1.854741.5670413.895547e-07
1.862791.5669274.021473e-07
1.870891.5668124.147945e-07
1.879011.5666974.274967e-07
1.887181.566584.402540e-07
1.895371.5664634.530668e-07
1.903611.5663444.659352e-07
1.911881.5662254.788595e-07
1.920181.5661054.918400e-07
1.928531.5659845.048769e-07
1.93691.5658625.179704e-07
1.945321.5657395.311208e-07
1.953771.5656155.443283e-07
1.962261.565495.575932e-07
1.970781.5653645.709157e-07
1.979341.5652375.842961e-07
1.987941.5651095.977346e-07
1.996581.564986.112315e-07
21.5649296.165800e-07
2.005251.564856.644073e-07
2.013961.5647197.437461e-07
2.022711.5645878.234297e-07
2.03151.5644549.034593e-07
2.040321.5643199.838367e-07
2.049191.5641841.064563e-06
2.058091.5640471.145640e-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
—