Optical constants

Refractive index of J-SK15 (HIKARI)

J-SK15: 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
1.62299
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.63409
Permittivity ε2
6.08343e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
58.122
Chromatic dispersion dn/dλ
-0.0553587 µm⁻¹
Group index ng
1.65552
Group velocity dispersion
96.9418 fs²/mm
Dispersion parameter D
-528.869 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-SK15 (HIKARI): J-SK15
hikari_j_sk15 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "J-SK15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_j_sk15.range_nm)  # (365.015, 2058.09) nm
eps = hikari_j_sk15.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=2.59035665−0.0102907579⁢λ2.0−0.000119847148⁢λ4.0+0.0157254882⁢λ−2.0+0.000190519844⁢λ−4.0+6.52864472×10-6⁢λ−6.0−1.78313721×10-8⁢λ−8.0

Valid from 0.365015 to 2.05809 µm.

Coefficients as stored
CiValue
C12.59035665
C2-0.0102907579
C32.0
C4-0.000119847148
C54.0
C60.0157254882
C7-2.0
C80.000190519844
C9-4.0
C106.52864472e-06
C11-6.0
C12-1.78313721e-08
C13-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

thermal dispersion
type: formula A, coefficients: 1.3614e-06 1.4372e-08 -1.7642e-12 4.6435e-07 4.093e-10 0.17738
nd
1.622990
Vd
58.122114
density
value: 3580
thermal expansion
value: 6e-06, temperature range: 243 343
dPgF
-0.003
resistance
phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 296.0 K): dn/dT = 1.31e-06 K⁻¹ at 633 nm, dn/dT = 8.06e-07 K⁻¹ at 1310 nm, dn/dT = 7.63e-07 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-SK15 (HIKARI), J-SK15: n and k versus wavelength
λ (µm)nk
0.3650151.6493782.075187e-07
0.3666011.6489881.915220e-07
0.3681931.6486031.754559e-07
0.3697931.6482221.593200e-07
0.371.6481731.572300e-07
0.3713991.6478441.485538e-07
0.3730131.6474711.385498e-07
0.3746331.6471011.285023e-07
0.3762611.6467351.184112e-07
0.3778951.6463731.082763e-07
0.3795371.6460159.809729e-08
0.381.6459159.522600e-08
0.3811861.645669.099394e-08
0.3828421.6453098.508349e-08
0.3845051.6449617.914736e-08
0.3861751.6446177.318545e-08
0.3878531.6442776.719763e-08
0.3895381.6439396.118380e-08
0.391.6438485.953400e-08
0.391231.6436065.693794e-08
0.392931.6432755.335077e-08
0.3946371.6429484.974803e-08
0.3963511.6426244.612963e-08
0.3980731.6423044.249551e-08
0.3998021.6419863.884560e-08
0.41.641953.842800e-08
0.4015391.6416723.701876e-08
0.4032831.6413613.542143e-08
0.4050351.6410533.381717e-08
0.4067951.6407483.220593e-08
0.4085621.6404463.058769e-08
0.4103371.6401472.896243e-08
0.412121.6398512.733010e-08
0.413911.6395572.569068e-08
0.4157081.6392672.404414e-08
0.4175141.6389792.239045e-08
0.4193281.6386952.072957e-08
0.421.638592.011400e-08
0.4211491.6384132.016906e-08
0.4229791.6381342.025669e-08
0.4248171.6378572.034471e-08
0.4266621.6375832.043311e-08
0.4285161.6373122.052189e-08
0.4303771.6370442.061106e-08
0.4322471.6367782.070062e-08
0.4341251.6365142.079057e-08
0.436011.6362532.088090e-08
0.4379051.6359952.097163e-08
0.4398071.6357392.106275e-08
0.441.6357132.107200e-08
0.4417181.6354852.083815e-08
0.4436371.6352342.057689e-08
0.4455641.6349852.031449e-08
0.4474991.6347392.005095e-08
0.4494431.6344951.978627e-08
0.4513961.6342531.952044e-08
0.4533571.6340131.925346e-08
0.4553261.6337761.898531e-08
0.4573041.6335411.871600e-08
0.4592911.6333081.844552e-08
0.461.6332261.834900e-08
0.4612861.6330771.815354e-08
0.463291.6328491.784904e-08
0.4653031.6326221.754322e-08
0.4673241.6323981.723607e-08
0.4693541.6321761.692759e-08
0.4713931.6319551.661776e-08
0.4734411.6317371.630659e-08
0.4754981.6315211.599407e-08
0.4775641.6313071.568019e-08
0.4796381.6310941.536495e-08
0.481.6310581.531000e-08
0.4817221.6308841.502113e-08
0.4838151.6306751.467008e-08
0.4859171.6304691.431750e-08
0.4880271.6302641.396339e-08
0.4901481.6300611.360774e-08
0.4922771.629861.325055e-08
0.4944151.6296611.289180e-08
0.4965631.6294641.253150e-08
0.4987211.6292681.216963e-08
0.51.6291531.195500e-08
0.5008871.6290741.205412e-08
0.5030631.6288821.229726e-08
0.5052481.6286911.254146e-08
0.5074431.6285031.278672e-08
0.5096481.6283151.303305e-08
0.5118621.628131.328045e-08
0.5140861.6279461.352892e-08
0.5163191.6277641.377847e-08
0.5185621.6275831.402910e-08
0.5208151.6274041.428082e-08
0.5230771.6272271.453364e-08
0.5253491.6270511.478755e-08
0.5276321.6268761.504257e-08
0.5299241.6267031.529870e-08
0.5322261.6265321.555593e-08
0.5345381.6263621.581429e-08
0.536861.6261931.607377e-08
0.5391931.6260261.633437e-08
0.5415351.6258611.659611e-08
0.5438871.6256971.685898e-08
0.546251.6255341.712300e-08
0.5486231.6253721.738816e-08
0.551.625281.754200e-08
0.5510071.6252121.757411e-08
0.55341.6250531.765047e-08
0.5558041.6248961.772716e-08
0.5582191.624741.780419e-08
0.5606441.6245851.788154e-08
0.563081.6244321.795924e-08
0.5655261.6242791.803727e-08
0.5679821.6241281.811564e-08
0.570451.6239791.819435e-08
0.5729281.623831.827341e-08
0.5754171.6236831.835280e-08
0.5779171.6235371.843255e-08
0.5804271.6233921.851263e-08
0.5829491.6232481.859307e-08
0.5854811.6231061.867386e-08
0.5880251.6229641.875499e-08
0.5905791.6228241.883648e-08
0.5931451.6226851.891832e-08
0.5957221.6225471.900052e-08
0.598311.622411.908308e-08
0.61.6223221.913700e-08
0.6009091.6222741.926045e-08
0.6035191.622141.961500e-08
0.6061411.6220061.997110e-08
0.6087741.6218732.032874e-08
0.6114191.6217422.068794e-08
0.6140751.6216112.104870e-08
0.6167431.6214812.141102e-08
0.6194221.6213532.177492e-08
0.6221131.6212252.214040e-08
0.6248161.6210992.250747e-08
0.627531.6209732.287613e-08
0.6302561.6208482.324640e-08
0.6329941.6207252.361827e-08
0.6357441.6206022.399176e-08
0.6385061.620482.436687e-08
0.641281.6203592.474361e-08
0.6440661.6202392.512199e-08
0.6468641.620122.550201e-08
0.6496741.6200022.588368e-08
0.651.6199882.592800e-08
0.6524961.6198842.630714e-08
0.6553311.6197682.673772e-08
0.6581781.6196522.717016e-08
0.6610371.6195372.760449e-08
0.6639081.6194232.804070e-08
0.6667931.619312.847880e-08
0.6696891.6191972.891881e-08
0.6725991.6190862.936073e-08
0.6755211.6189752.980457e-08
0.6784551.6188653.025034e-08
0.6814031.6187563.069805e-08
0.6843631.6186473.114770e-08
0.6873361.6185393.159930e-08
0.6903221.6184323.205287e-08
0.6933211.6183263.250840e-08
0.6963331.6182213.296592e-08
0.6993581.6181163.342542e-08
0.71.6180943.352300e-08
0.7023961.6180123.394492e-08
0.7054471.6179083.448230e-08
0.7085121.6178053.502201e-08
0.711591.6177033.556407e-08
0.7146811.6176023.610848e-08
0.7177861.6175013.665525e-08
0.7209041.6174013.720440e-08
0.7240361.6173023.775594e-08
0.7271811.6172033.830987e-08
0.730341.6171053.886621e-08
0.7335131.6170073.942497e-08
0.73671.616913.998615e-08
0.73991.6168144.054977e-08
0.7431141.6167184.111584e-08
0.7463421.6166234.168437e-08
0.7495851.6165284.225537e-08
0.7528411.6164344.282885e-08
0.7561121.6163414.340482e-08
0.7593961.6162484.398330e-08
0.7626951.6161564.456428e-08
0.7660091.6160644.514779e-08
0.7693361.6159734.573384e-08
0.7726791.6158824.632243e-08
0.7760351.6157924.691358e-08
0.7794071.6157024.750729e-08
0.7827931.6156134.810359e-08
0.7861931.6155244.870247e-08
0.7896091.6154364.930396e-08
0.7930391.6153484.990806e-08
0.7964841.6152615.051479e-08
0.7999441.6151745.112415e-08
0.81.6151735.113400e-08
0.8034191.6150885.036711e-08
0.8069091.6150024.958428e-08
0.8104151.6149164.879806e-08
0.8139351.6148314.800841e-08
0.8174711.6147474.721534e-08
0.8210231.6146624.641882e-08
0.8245891.6145794.561884e-08
0.8281721.6144954.481539e-08
0.8317691.6144124.400845e-08
0.8353831.614334.319800e-08
0.8390121.6142484.238403e-08
0.8426571.6141664.156652e-08
0.8463171.6140844.074546e-08
0.8499941.6140033.992084e-08
0.8536871.6139233.909263e-08
0.8573951.6138423.826082e-08
0.861121.6137623.742541e-08
0.8648611.6136833.658636e-08
0.8686181.6136033.574367e-08
0.8723911.6135253.489731e-08
0.8761811.6134463.404728e-08
0.8799881.6133683.319356e-08
0.8838111.613293.233613e-08
0.887651.6132123.147497e-08
0.8915061.6131343.061007e-08
0.8953791.6130572.974142e-08
0.8992691.612982.886899e-08
0.91.6129662.870500e-08
0.9031751.6129042.880630e-08
0.9070991.6128282.893146e-08
0.911041.6127512.905717e-08
0.9149981.6126762.918342e-08
0.9189721.61262.931022e-08
0.9229651.6125252.943757e-08
0.9269741.612452.956548e-08
0.9310011.6123752.969394e-08
0.9350461.61232.982296e-08
0.9391081.6122262.995254e-08
0.9431881.6121523.008268e-08
0.9472851.6120783.021339e-08
0.95141.6120043.034467e-08
0.9555331.6119313.047651e-08
0.9596841.6118583.060893e-08
0.9638531.6117843.074193e-08
0.9680411.6117113.087550e-08
0.9722461.6116393.100965e-08
0.976471.6115663.114438e-08
0.9807121.6114943.127970e-08
0.9849721.6114213.141561e-08
0.9892511.6113493.155211e-08
0.9935491.6112773.168920e-08
0.9978651.6112053.182689e-08
11.611173.189500e-08
1.00221.6111343.175446e-08
1.006551.6110623.147632e-08
1.010931.6109913.119697e-08
1.015321.6109193.091641e-08
1.019731.6108483.063463e-08
1.024161.6107773.035162e-08
1.028611.6107063.006738e-08
1.033081.6106352.978191e-08
1.037561.6105642.949520e-08
1.042071.6104932.920724e-08
1.04661.6104232.891804e-08
1.051151.6103522.862757e-08
1.055711.6102812.833585e-08
1.06031.6102112.804285e-08
1.06491.610142.774859e-08
1.069531.610072.745304e-08
1.074181.612.715621e-08
1.078841.6099292.685810e-08
1.083531.6098592.655868e-08
1.088241.6097892.625797e-08
1.092961.6097192.595595e-08
1.097711.6096482.565262e-08
1.102481.6095782.534797e-08
1.107271.6095082.504200e-08
1.112081.6094382.473469e-08
1.116911.6093682.442606e-08
1.121761.6092972.411608e-08
1.126641.6092272.380475e-08
1.131531.6091572.349208e-08
1.136451.6090862.317804e-08
1.141381.6090162.286264e-08
1.146341.6089462.254587e-08
1.151321.6088752.222772e-08
1.156321.6088052.190819e-08
1.161351.6087342.158728e-08
1.166391.6086642.126497e-08
1.171461.6085932.094126e-08
1.176551.6085222.061614e-08
1.181661.6084512.028961e-08
1.186791.608381.996166e-08
1.191951.6083091.963229e-08
1.197131.6082381.930149e-08
1.21.6081991.911800e-08
1.202331.6081672.085575e-08
1.207551.6080962.475388e-08
1.21281.6080242.866894e-08
1.218071.6079533.260100e-08
1.223361.6078813.655015e-08
1.228671.6078094.051645e-08
1.234011.6077374.449999e-08
1.239371.6076654.850083e-08
1.244751.6075935.251905e-08
1.250161.607525.655472e-08
1.255591.6074486.060793e-08
1.261051.6073756.467875e-08
1.266531.6073026.876725e-08
1.272031.6072297.287351e-08
1.277551.6071567.699761e-08
1.28311.6070828.113963e-08
1.288681.6070088.529964e-08
1.294281.6069358.947772e-08
1.29991.606869.367396e-08
1.305551.6067869.788842e-08
1.311221.6067111.021212e-07
1.316911.6066371.063723e-07
1.322641.6065621.106420e-07
1.328381.6064861.149302e-07
1.334151.6064111.192370e-07
1.339951.6063351.235625e-07
1.345771.6062591.279068e-07
1.351621.6061831.322700e-07
1.357491.6061061.366521e-07
1.363381.6060291.410533e-07
1.369311.6059521.454735e-07
1.375261.6058751.499130e-07
1.381231.6057971.543718e-07
1.387231.6057191.588500e-07
1.393261.6056411.633476e-07
1.399311.6055621.678647e-07
1.41.6055531.683800e-07
1.405391.6054831.679848e-07
1.411491.6054041.675369e-07
1.417631.6053241.670872e-07
1.423781.6052441.666354e-07
1.429971.6051631.661817e-07
1.436181.6050831.657261e-07
1.442421.6050021.652684e-07
1.448691.604921.648088e-07
1.454981.6048381.643472e-07
1.46131.6047561.638836e-07
1.467651.6046731.634179e-07
1.474031.604591.629503e-07
1.480431.6045071.624806e-07
1.486861.6044231.620088e-07
1.493321.6043391.615350e-07
1.499811.6042541.610592e-07
1.506321.6041691.605813e-07
1.512871.6040831.601013e-07
1.519441.6039971.596192e-07
1.526041.6039111.591350e-07
1.532671.6038241.586488e-07
1.539331.6037361.581604e-07
1.546011.6036491.576699e-07
1.552731.603561.571772e-07
1.559481.6034711.566825e-07
1.566251.6033821.561855e-07
1.573051.6032921.556865e-07
1.579891.6032011.551852e-07
1.586751.6031111.546818e-07
1.593641.6030191.541762e-07
1.61.6029351.537100e-07
1.600571.6029271.543450e-07
1.607521.6028341.621202e-07
1.61451.6027411.699291e-07
1.621521.6026481.777719e-07
1.628561.6025531.856488e-07
1.635641.6024581.935599e-07
1.642741.6023632.015053e-07
1.649881.6022672.094853e-07
1.657051.602172.175000e-07
1.664251.6020732.255495e-07
1.671481.6019752.336339e-07
1.678741.6018762.417535e-07
1.686031.6017772.499083e-07
1.693351.6016772.580986e-07
1.700711.6015772.663244e-07
1.70811.6014762.745860e-07
1.715521.6013742.828835e-07
1.722971.6012712.912170e-07
1.730461.6011682.995867e-07
1.737971.6010643.079928e-07
1.745521.600963.164354e-07
1.753111.6008543.249146e-07
1.760721.6007483.334307e-07
1.768371.6006413.419839e-07
1.776051.6005343.505741e-07
1.783771.6004253.592017e-07
1.791521.6003163.678668e-07
1.79931.6002063.765695e-07
1.81.6001963.773500e-07
1.807121.6000963.917843e-07
1.814971.5999844.077028e-07
1.822851.5998724.236905e-07
1.830771.5997594.397477e-07
1.838731.5996454.558746e-07
1.846711.599534.720716e-07
1.854741.5994144.883389e-07
1.862791.5992975.046769e-07
1.870891.599185.210859e-07
1.879011.5990625.375662e-07
1.887181.5989435.541181e-07
1.895371.5988225.707418e-07
1.903611.5987015.874378e-07
1.911881.5985796.042063e-07
1.920181.5984576.210477e-07
1.928531.5983336.379622e-07
1.93691.5982086.549502e-07
1.945321.5980826.720120e-07
1.953771.5979556.891480e-07
1.962261.5978287.063583e-07
1.970781.5976997.236435e-07
1.979341.5975697.410037e-07
1.987941.5974387.584393e-07
1.996581.5973067.759507e-07
21.5972547.828900e-07
2.005251.5971738.370396e-07
2.013961.5970399.268664e-07
2.022711.5969041.017083e-06
2.03151.5967681.107692e-06
2.040321.596631.198695e-06
2.049191.5964921.290093e-06
2.058091.5963521.381888e-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
—