Optical constants

Refractive index of S-LAL7 (OHARA)

S-LAL7: n,k 0.28–2.4 µm

Data
formula 2 + tabulated k
Range
0.28–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.28–2.4 µm
Refractive index n
1.65159
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.72777
Permittivity ε2
2.73315e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
58.551
Chromatic dispersion dn/dλ
-0.0575105 µm⁻¹
Group index ng
1.68539
Group velocity dispersion
100.232 fs²/mm
Dispersion parameter D
-546.817 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

# S-LAL7 (OHARA): S-LAL7
ohara_s_lal7 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal7.range_nm)  # (280, 2400) nm
eps = ohara_s_lal7.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.916121247λ2λ2−0.00395889743+0.765948319λ2λ2−0.0167547425+1.27745023λ2λ2−110.762706

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.916121247
C30.00395889743
C40.765948319
C50.0167547425
C61.27745023
C7110.762706

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.43e-08 1.3e-08 -3.43e-11 3.49e-07 4.29e-10 0.237
nd
1.651597
Vd
58.550655
glass code
652585
density
value: 3730
thermal expansion
value: 6.7e-06, temperature range: 243 343; value: 8.1e-06, temperature range: 293 573
dPgF
-0.0042
resistance
acid: 53.0; climatic: 2.0; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 5.57e-07 K⁻¹ at 633 nm, dn/dT = 1.35e-07 K⁻¹ at 1310 nm, dn/dT = 1.03e-07 K⁻¹ at 1550 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA 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 430 wavelengths, the same grid as the API and the library
S-LAL7 (OHARA), S-LAL7: n and k versus wavelength
λ (µm)nk
0.281.7140785.365300e-06
0.2815121.713095.082438e-06
0.2830321.7121174.798050e-06
0.284561.7111584.512125e-06
0.2860961.7102134.224657e-06
0.2876411.7092833.935637e-06
0.2891941.7083663.645057e-06
0.291.7078973.494200e-06
0.2907551.7074633.404770e-06
0.2923251.7065733.218858e-06
0.2939031.7056963.031942e-06
0.295491.7048322.844016e-06
0.2970851.703982.655077e-06
0.2986891.703142.465117e-06
0.31.7024672.309900e-06
0.3003021.7023132.284678e-06
0.3019231.7014972.149279e-06
0.3035531.7006932.013149e-06
0.3051921.6999011.876284e-06
0.306841.699121.738680e-06
0.3084971.698351.600333e-06
0.311.6976641.474800e-06
0.3101621.697591.466195e-06
0.3118371.6968411.377460e-06
0.3135211.6961031.288246e-06
0.3152131.6953751.198551e-06
0.3169151.6946571.108371e-06
0.3186261.6939491.017704e-06
0.321.6933919.449100e-07
0.3203471.6932519.324727e-07
0.3220761.6925638.703948e-07
0.3238151.6918838.079818e-07
0.3255631.6912147.452318e-07
0.3273211.6905536.821431e-07
0.3290881.6899016.187137e-07
0.331.689575.859900e-07
0.3308651.6892585.652185e-07
0.3326511.6886245.223244e-07
0.3344471.6879984.791986e-07
0.3362531.687384.358400e-07
0.3380691.6867713.922474e-07
0.3398941.686173.484193e-07
0.341.6861363.458700e-07
0.3417291.6855773.215351e-07
0.3435741.6849922.955665e-07
0.3454291.6844142.694577e-07
0.3472941.6838452.432079e-07
0.3491691.6832822.168163e-07
0.351.6830362.051200e-07
0.3510541.6827271.967698e-07
0.352951.6821791.817566e-07
0.3548551.6816391.666623e-07
0.3567711.6811051.514866e-07
0.3586971.6805781.362289e-07
0.361.6802271.259100e-07
0.3606341.6800581.228454e-07
0.3625811.6795451.134324e-07
0.3645391.6790381.039686e-07
0.3665071.6785389.445371e-08
0.3684861.6780448.488742e-08
0.371.6776727.756600e-08
0.3704751.6775577.619827e-08
0.3724751.6770767.043924e-08
0.3744861.67666.464911e-08
0.3765081.6761315.882772e-08
0.3785411.6756685.297490e-08
0.381.675344.877400e-08
0.3805851.675214.774589e-08
0.382641.6747584.413293e-08
0.3847051.6743124.050046e-08
0.3867821.6738723.684838e-08
0.3888711.6734373.317658e-08
0.391.6732053.119100e-08
0.390971.6730073.064532e-08
0.3930811.6725832.945816e-08
0.3952031.6721642.826459e-08
0.3973371.671752.706458e-08
0.3994821.6713412.585809e-08
0.41.6712432.556700e-08
0.4016391.6709372.512006e-08
0.4038081.6705382.452882e-08
0.4059881.6701442.393440e-08
0.408181.6697552.333676e-08
0.4103841.669372.273590e-08
0.4125991.668992.213179e-08
0.4148271.6686152.152442e-08
0.4170671.6682442.091377e-08
0.4193181.6678782.029982e-08
0.421.6677682.011400e-08
0.4215821.6675161.991122e-08
0.4238591.6671581.961953e-08
0.4261471.6668051.932627e-08
0.4284481.6664561.903142e-08
0.4307611.6661111.873498e-08
0.4330871.665771.843694e-08
0.4354251.6654331.813729e-08
0.4377761.66511.783602e-08
0.441.664791.755100e-08
0.4401391.6647711.753093e-08
0.4425161.6644451.718885e-08
0.4449051.6641241.684493e-08
0.4473071.6638061.649915e-08
0.4497221.6634921.615151e-08
0.452151.6631821.580199e-08
0.4545911.6628751.545058e-08
0.4570461.6625721.509727e-08
0.4595131.6622721.474206e-08
0.461.6622141.467200e-08
0.4619941.6619761.435331e-08
0.4644891.6616831.395472e-08
0.4669961.6613941.355397e-08
0.4695181.6611081.315106e-08
0.4720531.6608251.274597e-08
0.4746011.6605451.233870e-08
0.4771641.6602681.192923e-08
0.479741.6599951.151754e-08
0.481.6599671.147600e-08
0.482331.6597241.106702e-08
0.4849341.6594571.060995e-08
0.4875531.6591921.015042e-08
0.4901851.6589319.688409e-09
0.4928311.6586729.223901e-09
0.4954921.6584178.756885e-09
0.4981671.6581648.287348e-09
0.51.6579937.965700e-09
0.5008571.6579147.904221e-09
0.5035611.6576667.710240e-09
0.506281.6574227.515213e-09
0.5090131.657187.319132e-09
0.5117621.6569417.121993e-09
0.5145251.6567046.923789e-09
0.5173031.656476.724515e-09
0.5200961.6562386.524165e-09
0.5229041.6560096.322734e-09
0.5257271.6557826.120215e-09
0.5285651.6555585.916603e-09
0.5314191.6553365.711891e-09
0.5342881.6551175.506074e-09
0.5371731.65495.299146e-09
0.5400731.6546855.091101e-09
0.5429891.6544724.881932e-09
0.5459211.6542624.671634e-09
0.5488681.6540534.460201e-09
0.551.6539744.379000e-09
0.5518311.6538474.568730e-09
0.5548111.6536444.877387e-09
0.5578061.6534425.187711e-09
0.5608181.6532425.499711e-09
0.5638461.6530445.813395e-09
0.566891.6528496.128772e-09
0.5699511.6526556.445852e-09
0.5730281.6524636.764644e-09
0.5761221.6522747.085158e-09
0.5792321.6520867.407402e-09
0.582361.65197.731385e-09
0.5855041.6517168.057118e-09
0.5886651.6515348.384610e-09
0.5918431.6513538.713869e-09
0.5950391.6511749.044907e-09
0.5982511.6509989.377731e-09
0.61.6509029.558900e-09
0.6014811.6508229.582484e-09
0.6047291.6506499.634190e-09
0.6079941.6504779.686175e-09
0.6112761.6503079.738440e-09
0.6145771.6501389.790988e-09
0.6178951.6499719.843820e-09
0.6212311.6498069.896936e-09
0.6245851.6496429.950340e-09
0.6279571.649481.000403e-08
0.6313471.6493191.005801e-08
0.6347561.649161.011229e-08
0.6381831.6490021.016685e-08
0.6416291.6488461.022171e-08
0.6450931.6486911.027687e-08
0.6485761.6485381.033233e-08
0.651.6484761.035500e-08
0.6520781.6483861.038812e-08
0.6555981.6482351.044424e-08
0.6591381.6480861.050066e-08
0.6626971.6479381.055738e-08
0.6662741.6477911.061442e-08
0.6698721.6476461.067176e-08
0.6734881.6475011.072941e-08
0.6771251.6473591.078737e-08
0.680781.6472171.084564e-08
0.6844561.6470761.090423e-08
0.6881521.6469371.096313e-08
0.6918671.6467991.102236e-08
0.6956021.6466621.108190e-08
0.6993581.6465261.114177e-08
0.71.6465031.115200e-08
0.7031341.6463921.100212e-08
0.706931.6462581.082056e-08
0.7107471.6461251.063802e-08
0.7145841.6459941.045450e-08
0.7184421.6458641.026998e-08
0.7223211.6457341.008447e-08
0.7262211.6456069.897950e-09
0.7301421.6454789.710429e-09
0.7340841.6453529.521894e-09
0.7380471.6452279.332342e-09
0.7420321.6451029.141766e-09
0.7460391.6449798.950162e-09
0.7500661.6448568.757523e-09
0.7541161.6447348.563844e-09
0.7581881.6446138.369119e-09
0.7622811.6444938.173343e-09
0.7663971.6443747.976510e-09
0.7705351.6442567.778614e-09
0.7746951.6441387.579650e-09
0.7788771.6440227.379611e-09
0.7830831.6439067.178493e-09
0.787311.6437916.976288e-09
0.7915611.6436766.772992e-09
0.7958351.6435636.568598e-09
0.81.6434536.369400e-09
0.8001321.643456.379895e-09
0.8044521.6433386.724136e-09
0.8087951.6432267.070236e-09
0.8131621.6431157.418204e-09
0.8175521.6430057.768050e-09
0.8219661.6428968.119786e-09
0.8264041.6427878.473421e-09
0.8308661.6426798.828965e-09
0.8353521.6425719.186428e-09
0.8398621.6424649.545822e-09
0.8443961.6423589.907156e-09
0.8489551.6422521.027044e-08
0.8535391.6421471.063569e-08
0.8581471.6420421.100291e-08
0.862781.6419381.137211e-08
0.8674381.6418351.174330e-08
0.8721221.6417321.211650e-08
0.876831.6416291.249171e-08
0.8815651.6415271.286895e-08
0.8863241.6414251.324823e-08
0.8911091.6413241.362955e-08
0.8959211.6412231.401293e-08
0.91.6411391.433800e-08
0.9007581.6411231.435007e-08
0.9056211.6410231.442754e-08
0.9105111.6409241.450543e-08
0.9154261.6408251.458374e-08
0.9203691.6407261.466248e-08
0.9253381.6406281.474164e-08
0.9303341.640531.482122e-08
0.9353571.6404321.490124e-08
0.9404071.6403351.498168e-08
0.9454841.6402381.506257e-08
0.9505891.6401411.514388e-08
0.9557211.6400451.522564e-08
0.9608811.6399491.530784e-08
0.9660691.6398531.539048e-08
0.9712851.6397581.547357e-08
0.9765291.6396631.555711e-08
0.9818011.6395681.564110e-08
0.9871021.6394731.572554e-08
0.9924321.6393781.581044e-08
0.997791.6392841.589579e-08
11.6392451.593100e-08
1.003181.639191.613370e-08
1.008591.6390961.647925e-08
1.014041.6390021.682667e-08
1.019511.6389081.717597e-08
1.025021.6388151.752715e-08
1.030551.6387211.788023e-08
1.036121.6386281.823522e-08
1.041711.6385351.859212e-08
1.047331.6384421.895095e-08
1.052991.6383491.931171e-08
1.058671.6382561.967442e-08
1.064391.6381632.003910e-08
1.070141.638072.040574e-08
1.075911.6379782.077436e-08
1.081721.6378852.114497e-08
1.087561.6377922.151758e-08
1.093441.63772.189220e-08
1.099341.6376072.226885e-08
1.105271.6375142.264753e-08
1.111241.6374212.302825e-08
1.117241.6373292.341103e-08
1.123271.6372362.379588e-08
1.129341.6371432.418280e-08
1.135441.637052.457181e-08
1.141571.6369572.496292e-08
1.147731.6368642.535615e-08
1.153931.6367712.575150e-08
1.160161.6366772.614898e-08
1.166421.6365842.654861e-08
1.172721.636492.695039e-08
1.179051.6363962.735435e-08
1.185421.6363022.776048e-08
1.191821.6362082.816881e-08
1.198251.6361142.857935e-08
1.21.6360882.869100e-08
1.204721.636023.039067e-08
1.211221.6359253.273318e-08
1.217761.635833.508834e-08
1.224341.6357353.745622e-08
1.230951.6356393.983688e-08
1.237591.6355444.223040e-08
1.244281.6354484.463683e-08
1.250991.6353514.705626e-08
1.257751.6352554.948876e-08
1.264541.6351585.193438e-08
1.271371.6350615.439321e-08
1.278231.6349635.686532e-08
1.285131.6348655.935077e-08
1.292071.6347676.184964e-08
1.299051.6346696.436201e-08
1.306061.634576.688794e-08
1.313111.634476.942750e-08
1.32021.634377.198078e-08
1.327331.634277.454784e-08
1.33451.634177.712876e-08
1.34171.6340697.972362e-08
1.348941.6339678.233249e-08
1.356231.6338658.495544e-08
1.363551.6337638.759255e-08
1.370911.633669.024390e-08
1.378311.6335569.290957e-08
1.385751.6334529.558963e-08
1.393241.6333489.828416e-08
1.41.6332531.007200e-07
1.400761.6332421.006772e-07
1.408321.6331371.002507e-07
1.415931.6330319.982182e-08
1.423571.6329249.939066e-08
1.431261.6328169.895718e-08
1.438981.6327089.852135e-08
1.446751.63269.808317e-08
1.454561.632499.764262e-08
1.462421.632389.719970e-08
1.470311.632279.675438e-08
1.478251.6321589.630666e-08
1.486231.6320469.585652e-08
1.494261.6319339.540395e-08
1.502321.631829.494894e-08
1.510431.6317069.449147e-08
1.518591.6315919.403153e-08
1.526791.6314759.356911e-08
1.535031.6313589.310419e-08
1.543321.6312419.263676e-08
1.551651.6311239.216681e-08
1.560031.6310049.169432e-08
1.568451.6308849.121928e-08
1.576921.6307639.074167e-08
1.585431.6306419.026149e-08
1.593991.6305198.977871e-08
1.61.6304338.944000e-08
1.60261.6303959.128122e-08
1.611251.6302719.740723e-08
1.619951.6301461.035663e-07
1.62871.6300191.097586e-07
1.637491.6298921.159844e-07
1.646331.6297641.222438e-07
1.655221.6296341.285370e-07
1.664161.6295041.348641e-07
1.673141.6293731.412254e-07
1.682181.629241.476211e-07
1.691261.6291071.540513e-07
1.700391.6289721.605162e-07
1.709571.6288361.670160e-07
1.71881.6286991.735509e-07
1.728081.6285611.801211e-07
1.737411.6284221.867268e-07
1.746791.6282821.933681e-07
1.756221.628142.000453e-07
1.76571.6279972.067585e-07
1.775241.6278532.135080e-07
1.784821.6277072.202939e-07
1.794461.6275612.271165e-07
1.81.6274762.310400e-07
1.804151.6274132.369818e-07
1.813891.6272632.509392e-07
1.823681.6271122.649721e-07
1.833531.626962.790807e-07
1.843431.6268072.932654e-07
1.853381.6266523.075268e-07
1.863391.6264953.218651e-07
1.873451.6263383.362809e-07
1.883561.6261783.507745e-07
1.893731.6260173.653463e-07
1.903951.6258553.799968e-07
1.914231.6256913.947265e-07
1.924571.6255264.095356e-07
1.934961.6253594.244247e-07
1.945411.625194.393942e-07
1.955911.6250194.544445e-07
1.966471.6248474.695761e-07
1.977091.6246744.847893e-07
1.987761.6244985.000847e-07
1.998491.6243215.154627e-07
21.6242965.176200e-07
2.009281.6241425.765151e-07
2.020131.6239616.453300e-07
2.031041.6237797.145164e-07
2.042011.6235947.840764e-07
2.053031.6234088.540120e-07
2.064111.623229.243251e-07
2.075261.6230299.950178e-07
2.086461.6228371.066092e-06
2.097731.6226431.137550e-06
2.109051.6224471.209394e-06
2.120441.6222491.281626e-06
2.131891.6220491.354248e-06
2.14341.6218461.427262e-06
2.154971.6216421.500670e-06
2.166611.6214351.574475e-06
2.17831.6212261.648678e-06
2.190071.6210151.723281e-06
2.21.6208361.786300e-06
2.201891.6208021.823759e-06
2.213781.6205862.059406e-06
2.225731.6203682.296325e-06
2.237751.6201482.534524e-06
2.249831.6199252.774008e-06
2.261981.61973.014786e-06
2.274191.6194723.256863e-06
2.286471.6192423.500248e-06
2.298811.6190093.744946e-06
2.311221.6187743.990966e-06
2.32371.6185364.238314e-06
2.336251.6182964.486998e-06
2.348861.6180534.737024e-06
2.361541.6178074.988400e-06
2.374291.6175585.241133e-06
2.387111.6173075.495230e-06
2.41.6170525.750700e-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
—