Optical constants

Refractive index of S-LAL59 (OHARA)

S-LAL59: 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
1.73399
Extinction coefficient k
8.27428e-09
Permittivity ε1
3.00674
Permittivity ε2
2.86951e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
51.471
Chromatic dispersion dn/dλ
-0.0734755 µm⁻¹
Group index ng
1.77717
Group velocity dispersion
130.598 fs²/mm
Dispersion parameter D
-712.48 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-LAL59 (OHARA): S-LAL59
ohara_s_lal59 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL59", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal59.range_nm)  # (280, 2400) nm
eps = ohara_s_lal59.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=1.13962742λ2λ2−0.00493294862+0.805227838λ2λ2−0.020247996+1.29488061λ2λ2−93.4746507

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.13962742
C30.00493294862
C40.805227838
C50.020247996
C61.29488061
C793.4746507

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.63e-06 2.04e-08 -5.33e-12 5.86e-07 7.5e-10 0.176
nd
1.733997
Vd
51.470570
glass code
734515
density
value: 4040
thermal expansion
value: 5.5e-06, temperature range: 243 343; value: 6.8e-06, temperature range: 293 573
dPgF
-0.0096
resistance
acid: 52.0; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.16e-06 K⁻¹ at 633 nm, dn/dT = 3.37e-06 K⁻¹ at 1310 nm, dn/dT = 3.30e-06 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-LAL59 (OHARA), S-LAL59: n and k versus wavelength
λ (µm)nk
0.281.8167728.716600e-06
0.2815121.8154188.168927e-06
0.2830321.8140857.618297e-06
0.284561.8127747.064694e-06
0.2860961.8114846.508102e-06
0.2876411.8102145.948505e-06
0.2891941.8089655.385887e-06
0.291.8083265.093800e-06
0.2907551.8077354.999288e-06
0.2923251.8065244.802811e-06
0.2939031.8053334.605273e-06
0.295491.8041594.406669e-06
0.2970851.8030044.206992e-06
0.2986891.8018674.006237e-06
0.31.8009553.842200e-06
0.3003021.8007473.806534e-06
0.3019231.7996443.615068e-06
0.3035531.7985583.422569e-06
0.3051921.7974883.229031e-06
0.306841.7964353.034447e-06
0.3084971.7953972.838813e-06
0.311.7944732.661300e-06
0.3101621.7943752.648434e-06
0.3118371.7933672.515756e-06
0.3135211.7923752.382362e-06
0.3152131.7913982.248248e-06
0.3169151.7904342.113410e-06
0.3186261.7894851.977843e-06
0.321.7887361.869000e-06
0.3203471.7885491.847734e-06
0.3220761.7876281.741590e-06
0.3238151.7867191.634873e-06
0.3255631.7858231.527580e-06
0.3273211.7849411.419707e-06
0.3290881.7840711.311253e-06
0.331.7836281.255300e-06
0.3308651.7832131.217184e-06
0.3326511.7823671.138474e-06
0.3344471.7815341.059338e-06
0.3362531.7807129.797750e-07
0.3380691.7799018.997824e-07
0.3398941.7791028.193580e-07
0.341.7790568.146800e-07
0.3417291.7783147.635534e-07
0.3435741.7775377.089944e-07
0.3454291.7767716.541408e-07
0.3472941.7760155.989910e-07
0.3491691.7752695.435435e-07
0.351.7749445.189700e-07
0.3510541.7745344.994538e-07
0.352951.7738094.643649e-07
0.3548551.7730944.290865e-07
0.3567711.7723883.936177e-07
0.3586971.7716923.579574e-07
0.361.7712283.338400e-07
0.3606341.7710053.254217e-07
0.3625811.7703272.995644e-07
0.3645391.7696592.735675e-07
0.3665071.7689992.474302e-07
0.3684861.7683482.211518e-07
0.371.7678592.010400e-07
0.3704751.7677061.975038e-07
0.3724751.7670731.826142e-07
0.3744861.7664471.676441e-07
0.3765081.765831.525933e-07
0.3785411.7652211.374612e-07
0.381.764791.266000e-07
0.3805851.764621.241645e-07
0.382641.7640261.156056e-07
0.3847051.7634411.070005e-07
0.3867821.7628629.834897e-08
0.3888711.7622928.965072e-08
0.391.7619888.494700e-08
0.390971.7617298.231473e-08
0.3930811.7611727.658814e-08
0.3952031.7606237.083062e-08
0.3973371.7600816.504202e-08
0.3994821.7595465.922217e-08
0.41.7594195.781800e-08
0.4016391.7590185.583230e-08
0.4038081.7584965.320552e-08
0.4059881.7579815.056455e-08
0.408181.7574734.790932e-08
0.4103841.7569714.523976e-08
0.4125991.7564754.255578e-08
0.4148271.7559853.985731e-08
0.4170671.7555013.714428e-08
0.4193181.7550233.441659e-08
0.421.7548813.359100e-08
0.4215821.7545523.287932e-08
0.4238591.7540863.185562e-08
0.4261471.7536263.082640e-08
0.4284481.7531712.979161e-08
0.4307611.7527222.875124e-08
0.4330871.7522782.770526e-08
0.4354251.751842.665362e-08
0.4377761.7514072.559631e-08
0.441.7510052.459600e-08
0.4401391.750982.455245e-08
0.4425161.7505572.381020e-08
0.4449051.750142.306394e-08
0.4473071.7497282.231365e-08
0.4497221.749322.155931e-08
0.452151.7489182.080090e-08
0.4545911.748522.003839e-08
0.4570461.7481271.927177e-08
0.4595131.7477381.850101e-08
0.461.7476631.834900e-08
0.4619941.7473551.766367e-08
0.4644891.7469751.680649e-08
0.4669961.7466011.594468e-08
0.4695181.746231.507822e-08
0.4720531.7458641.420708e-08
0.4746011.7455021.333124e-08
0.4771641.7451451.245067e-08
0.479741.7447911.156534e-08
0.481.7447561.147600e-08
0.482331.7444421.106702e-08
0.4849341.7440961.060995e-08
0.4875531.7437551.015042e-08
0.4901851.7434179.688409e-09
0.4928311.7430849.223901e-09
0.4954921.7427548.756885e-09
0.4981671.7424288.287348e-09
0.51.7422077.965700e-09
0.5008571.7421057.904221e-09
0.5035611.7417877.710240e-09
0.506281.7414717.515213e-09
0.5090131.741167.319132e-09
0.5117621.7408527.121993e-09
0.5145251.7405476.923789e-09
0.5173031.7402466.724515e-09
0.5200961.7399486.524165e-09
0.5229041.7396536.322734e-09
0.5257271.7393616.120215e-09
0.5285651.7390735.916603e-09
0.5314191.7387885.711891e-09
0.5342881.7385065.506074e-09
0.5371731.7382275.299146e-09
0.5400731.7379515.091101e-09
0.5429891.7376794.881932e-09
0.5459211.7374094.671634e-09
0.5488681.7371424.460201e-09
0.551.737044.379000e-09
0.5518311.7368774.568730e-09
0.5548111.7366164.877387e-09
0.5578061.7363575.187711e-09
0.5608181.7361025.499711e-09
0.5638461.7358485.813395e-09
0.566891.7355986.128772e-09
0.5699511.735356.445852e-09
0.5730281.7351056.764644e-09
0.5761221.7348627.085158e-09
0.5792321.7346227.407402e-09
0.582361.7343847.731385e-09
0.5855041.7341498.057118e-09
0.5886651.7339168.384610e-09
0.5918431.7336868.713869e-09
0.5950391.7334579.044907e-09
0.5982511.7332329.377731e-09
0.61.733119.558900e-09
0.6014811.7330089.582484e-09
0.6047291.7327879.634190e-09
0.6079941.7325689.686175e-09
0.6112761.7323519.738440e-09
0.6145771.7321369.790988e-09
0.6178951.7319239.843820e-09
0.6212311.7317139.896936e-09
0.6245851.7315049.950340e-09
0.6279571.7312981.000403e-08
0.6313471.7310931.005801e-08
0.6347561.7308911.011229e-08
0.6381831.730691.016685e-08
0.6416291.7304911.022171e-08
0.6450931.7302941.027687e-08
0.6485761.73011.033233e-08
0.651.7300211.035500e-08
0.6520781.7299061.038812e-08
0.6555981.7297151.044424e-08
0.6591381.7295261.050066e-08
0.6626971.7293381.055738e-08
0.6662741.7291521.061442e-08
0.6698721.7289671.067176e-08
0.6734881.7287851.072941e-08
0.6771251.7286041.078737e-08
0.680781.7284241.084564e-08
0.6844561.7282461.090423e-08
0.6881521.728071.096313e-08
0.6918671.7278951.102236e-08
0.6956021.7277221.108190e-08
0.6993581.727551.114177e-08
0.71.7275211.115200e-08
0.7031341.727381.100212e-08
0.706931.7272111.082056e-08
0.7107471.7270441.063802e-08
0.7145841.7268781.045450e-08
0.7184421.7267131.026998e-08
0.7223211.726551.008447e-08
0.7262211.7263889.897950e-09
0.7301421.7262289.710429e-09
0.7340841.7260699.521894e-09
0.7380471.7259119.332342e-09
0.7420321.7257549.141766e-09
0.7460391.7255988.950162e-09
0.7500661.7254448.757523e-09
0.7541161.7252918.563844e-09
0.7581881.7251398.369119e-09
0.7622811.7249888.173343e-09
0.7663971.7248397.976510e-09
0.7705351.724697.778614e-09
0.7746951.7245437.579650e-09
0.7788771.7243967.379611e-09
0.7830831.7242517.178493e-09
0.787311.7241076.976288e-09
0.7915611.7239646.772992e-09
0.7958351.7238216.568598e-09
0.81.7236846.369400e-09
0.8001321.723686.379895e-09
0.8044521.723546.724136e-09
0.8087951.7234017.070236e-09
0.8131621.7232627.418204e-09
0.8175521.7231257.768050e-09
0.8219661.7229888.119786e-09
0.8264041.7228528.473421e-09
0.8308661.7227178.828965e-09
0.8353521.7225839.186428e-09
0.8398621.722459.545822e-09
0.8443961.7223179.907156e-09
0.8489551.7221861.027044e-08
0.8535391.7220551.063569e-08
0.8581471.7219251.100291e-08
0.862781.7217951.137211e-08
0.8674381.7216661.174330e-08
0.8721221.7215381.211650e-08
0.876831.7214111.249171e-08
0.8815651.7212841.286895e-08
0.8863241.7211581.324823e-08
0.8911091.7210331.362955e-08
0.8959211.7209081.401293e-08
0.91.7208031.433800e-08
0.9007581.7207841.441053e-08
0.9056211.720661.487599e-08
0.9105111.7205371.534396e-08
0.9154261.7204151.581447e-08
0.9203691.7202931.628751e-08
0.9253381.7201721.676310e-08
0.9303341.7200511.724127e-08
0.9353571.719931.772201e-08
0.9404071.719811.820535e-08
0.9454841.7196911.869131e-08
0.9505891.7195721.917988e-08
0.9557211.7194531.967109e-08
0.9608811.7193352.016496e-08
0.9660691.7192182.066149e-08
0.9712851.71912.116070e-08
0.9765291.7189832.166260e-08
0.9818011.7188672.216722e-08
0.9871021.718752.267456e-08
0.9924321.7186342.318464e-08
0.997791.7185192.369748e-08
11.7184712.390900e-08
1.003181.7184032.398496e-08
1.008591.7182882.411447e-08
1.014041.7181742.424467e-08
1.019511.7180592.437557e-08
1.025021.7179452.450718e-08
1.030551.7178312.463950e-08
1.036121.7177172.477254e-08
1.041711.7176032.490629e-08
1.047331.717492.504077e-08
1.052991.7173772.517597e-08
1.058671.7172632.531190e-08
1.064391.717152.544857e-08
1.070141.7170382.558597e-08
1.075911.7169252.572412e-08
1.081721.7168122.586301e-08
1.087561.71672.600265e-08
1.093441.7165872.614305e-08
1.099341.7164752.628420e-08
1.105271.7163622.642612e-08
1.111241.716252.656880e-08
1.117241.7161382.671225e-08
1.123271.7160252.685648e-08
1.129341.7159132.700148e-08
1.135441.7158012.714727e-08
1.141571.7156882.729385e-08
1.147731.7155762.744122e-08
1.153931.7154632.758938e-08
1.160161.7153512.773834e-08
1.166421.7152382.788811e-08
1.172721.7151252.803868e-08
1.179051.7150122.819007e-08
1.185421.7148992.834228e-08
1.191821.7147862.849530e-08
1.198251.7146732.864916e-08
1.21.7146422.869100e-08
1.204721.7145592.959606e-08
1.211221.7144453.084344e-08
1.217761.7143313.209755e-08
1.224341.7142173.335843e-08
1.230951.7141033.462611e-08
1.237591.7139883.590065e-08
1.244281.7138733.718206e-08
1.250991.7137583.847039e-08
1.257751.7136423.976568e-08
1.264541.7135264.106796e-08
1.271371.713414.237727e-08
1.278231.7132934.369365e-08
1.285131.7131764.501714e-08
1.292071.7130594.634777e-08
1.299051.7129424.768559e-08
1.306061.7128234.903063e-08
1.313111.7127055.038294e-08
1.32021.7125865.174254e-08
1.327331.7124675.310949e-08
1.33451.7123475.448381e-08
1.34171.7122275.586556e-08
1.348941.7121065.725476e-08
1.356231.7119855.865147e-08
1.363551.7118636.005571e-08
1.370911.711746.146754e-08
1.378311.7116176.288699e-08
1.385751.7114946.431411e-08
1.393241.711376.574893e-08
1.41.7112586.704600e-08
1.400761.7112456.708233e-08
1.408321.711126.744451e-08
1.415931.7109946.780865e-08
1.423571.7108676.817476e-08
1.431261.710746.854284e-08
1.438981.7106126.891290e-08
1.446751.7104846.928497e-08
1.454561.7103546.965904e-08
1.462421.7102247.003514e-08
1.470311.7100937.041326e-08
1.478251.7099627.079343e-08
1.486231.7098297.117565e-08
1.494261.7096967.155993e-08
1.502321.7095627.194629e-08
1.510431.7094277.233473e-08
1.518591.7092917.272527e-08
1.526791.7091557.311792e-08
1.535031.7090177.351269e-08
1.543321.7088797.390959e-08
1.551651.7087397.430863e-08
1.560031.7085997.470983e-08
1.568451.7084587.511319e-08
1.576921.7083167.551873e-08
1.585431.7081727.592646e-08
1.593991.7080287.633640e-08
1.61.7079277.662400e-08
1.60261.7078837.825361e-08
1.611251.7077368.367556e-08
1.619951.7075898.912678e-08
1.62871.707449.460744e-08
1.637491.7072911.001177e-07
1.646331.707141.056577e-07
1.655221.7069881.112276e-07
1.664161.7068341.168276e-07
1.673141.706681.224578e-07
1.682181.7065241.281184e-07
1.691261.7063681.338096e-07
1.700391.7062091.395315e-07
1.709571.706051.452842e-07
1.71881.7058891.510681e-07
1.728081.7057271.568832e-07
1.737411.7055641.627297e-07
1.746791.7053991.686077e-07
1.756221.7052321.745175e-07
1.76571.7050651.804592e-07
1.775241.7048961.864329e-07
1.784821.7047251.924389e-07
1.794461.7045531.984774e-07
1.81.7044542.019500e-07
1.804151.7043792.098614e-07
1.813891.7042042.284458e-07
1.823681.7040272.471304e-07
1.833531.7038492.659159e-07
1.843431.7036692.848029e-07
1.853381.7034873.037918e-07
1.863391.7033043.228832e-07
1.873451.7031193.420778e-07
1.883561.7029323.613759e-07
1.893731.7027443.807783e-07
1.903951.7025534.002854e-07
1.914231.7023614.198978e-07
1.924571.7021674.396161e-07
1.934961.7019724.594409e-07
1.945411.7017744.793727e-07
1.955911.7015744.994121e-07
1.966471.7013735.195597e-07
1.977091.7011695.398161e-07
1.987761.7009635.601819e-07
1.998491.7007565.806576e-07
21.7007275.835300e-07
2.009281.7005466.375689e-07
2.020131.7003347.007096e-07
2.031041.700127.641912e-07
2.042011.6999048.280155e-07
2.053031.6996868.921845e-07
2.064111.6994659.566999e-07
2.075261.6992421.021564e-06
2.086461.6990171.086778e-06
2.097731.698791.152344e-06
2.109051.698561.218264e-06
2.120441.6983281.284540e-06
2.131891.6980931.351173e-06
2.14341.6978561.418167e-06
2.154971.6976161.485522e-06
2.166611.6973741.553241e-06
2.17831.6971291.621325e-06
2.190071.6968811.689777e-06
2.21.6966711.747600e-06
2.201891.6966311.808826e-06
2.213781.6963782.193984e-06
2.225731.6961222.581222e-06
2.237751.6958642.970551e-06
2.249831.6956023.361982e-06
2.261981.6953383.755526e-06
2.274191.6950714.151194e-06
2.286471.6948014.549000e-06
2.298811.6945284.948952e-06
2.311221.6942525.351065e-06
2.32371.6939735.755348e-06
2.336251.693696.161814e-06
2.348861.6934056.570474e-06
2.361541.6931166.981341e-06
2.374291.6928247.394427e-06
2.387111.6925287.809742e-06
2.41.692238.227300e-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
—