Optical constants

Refractive index of S-LAL18 (OHARA)

S-LAL18: 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
1.72915
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.98997
Permittivity ε2
2.86150e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
54.68
Chromatic dispersion dn/dλ
-0.0688496 µm⁻¹
Group index ng
1.76961
Group velocity dispersion
120.574 fs²/mm
Dispersion parameter D
-657.795 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-LAL18 (OHARA): S-LAL18
ohara_s_lal18 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL18", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal18.range_nm)  # (280, 2400) nm
eps = ohara_s_lal18.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=1.50276318λ2λ2−0.0145462356+0.430224497λ2λ2+0.00332784153+1.3472606λ2λ2−93.3508342

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.50276318
C30.0145462356
C40.430224497
C5-0.00332784153
C61.3472606
C793.3508342

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.46e-06 1.15e-08 -3.23e-12 6.57e-07 8.65e-10 0.0
nd
1.729157
Vd
54.680013
glass code
729547
density
value: 4180
thermal expansion
value: 5.9e-06, temperature range: 243 343; value: 6.9e-06, temperature range: 293 573
dPgF
-0.0086
resistance
acid: 51.2; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.35e-06 K⁻¹ at 633 nm, dn/dT = 1.60e-06 K⁻¹ at 1310 nm, dn/dT = 1.53e-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-LAL18 (OHARA), S-LAL18: n and k versus wavelength
λ (µm)nk
0.281.8046267.172200e-06
0.2815121.8034286.632418e-06
0.2830321.8022476.089722e-06
0.284561.8010855.544096e-06
0.2860961.7999394.995524e-06
0.2876411.7988114.443990e-06
0.2891941.7976993.889479e-06
0.291.7971313.601600e-06
0.2907551.7966043.546679e-06
0.2923251.7955253.432507e-06
0.2939031.7944613.317719e-06
0.295491.7934133.202311e-06
0.2970851.7923813.086279e-06
0.2986891.7913632.969621e-06
0.31.7905462.874300e-06
0.3003021.790362.872385e-06
0.3019231.7893712.862106e-06
0.3035531.7883962.851771e-06
0.3051921.7874362.841380e-06
0.306841.7864892.830933e-06
0.3084971.7855552.820430e-06
0.311.7847242.810900e-06
0.3101621.7846352.789976e-06
0.3118371.7837272.574205e-06
0.3135211.7828332.357269e-06
0.3152131.781952.139162e-06
0.3169151.7810811.919878e-06
0.3186261.7802231.699410e-06
0.321.7795461.522400e-06
0.3203471.7793771.504741e-06
0.3220761.7785431.416602e-06
0.3238151.777721.327987e-06
0.3255631.7769091.238894e-06
0.3273211.7761091.149320e-06
0.3290881.7753191.059262e-06
0.331.7749181.012800e-06
0.3308651.7745419.833409e-07
0.3326511.7737739.225063e-07
0.3344471.7730158.613432e-07
0.3362531.7722687.998499e-07
0.3380691.771537.380246e-07
0.3398941.7708036.758656e-07
0.341.7707616.722500e-07
0.3417291.7700856.286495e-07
0.3435741.7693775.821219e-07
0.3454291.7686785.353430e-07
0.3472941.7679894.883115e-07
0.3491691.7673094.410261e-07
0.351.7670114.200700e-07
0.3510541.7666374.036057e-07
0.352951.7659753.740039e-07
0.3548551.7653213.442422e-07
0.3567711.7646763.143199e-07
0.3586971.7640392.842360e-07
0.361.7636152.638900e-07
0.3606341.7634112.575231e-07
0.3625811.762792.379665e-07
0.3645391.7621782.183044e-07
0.3665071.7615741.985361e-07
0.3684861.7609771.786611e-07
0.371.7605281.634500e-07
0.3704751.7603881.605057e-07
0.3724751.7598071.481083e-07
0.3744861.7592331.356440e-07
0.3765081.7586661.231124e-07
0.3785411.7581071.105132e-07
0.381.7577111.014700e-07
0.3805851.7575549.957376e-08
0.382641.7570099.291003e-08
0.3847051.756478.621032e-08
0.3867821.7559397.947444e-08
0.3888711.7554147.270220e-08
0.391.7551346.904000e-08
0.390971.7548956.732270e-08
0.3930811.7543836.358667e-08
0.3952031.7538785.983045e-08
0.3973371.7533785.605396e-08
0.3994821.7528855.225708e-08
0.41.7527675.134100e-08
0.4016391.7523984.960955e-08
0.4038081.7519174.731909e-08
0.4059881.7514424.501627e-08
0.408181.7509734.270102e-08
0.4103841.7505094.037326e-08
0.4125991.7500513.803294e-08
0.4148271.7495993.567998e-08
0.4170671.7491523.331432e-08
0.4193181.7487113.093589e-08
0.421.7485793.021600e-08
0.4215821.7482752.949254e-08
0.4238591.7478442.845188e-08
0.4261471.7474192.740560e-08
0.4284481.7469982.635368e-08
0.4307611.7465832.529607e-08
0.4330871.7461722.423276e-08
0.4354251.7457672.316371e-08
0.4377761.7453662.208888e-08
0.441.7449932.107200e-08
0.4401391.744972.102738e-08
0.4425161.7445792.026695e-08
0.4449051.7441921.950241e-08
0.4473071.743811.873375e-08
0.4497221.7434321.796094e-08
0.452151.7430591.718395e-08
0.4545911.742691.640277e-08
0.4570461.7423251.561737e-08
0.4595131.7419651.482773e-08
0.461.7418951.467200e-08
0.4619941.7416091.435331e-08
0.4644891.7412571.395472e-08
0.4669961.7409091.355397e-08
0.4695181.7405651.315106e-08
0.4720531.7402251.274597e-08
0.4746011.7398891.233870e-08
0.4771641.7395561.192923e-08
0.479741.7392281.151754e-08
0.481.7391951.147600e-08
0.482331.7389031.106702e-08
0.4849341.7385821.060995e-08
0.4875531.7382641.015042e-08
0.4901851.737959.688409e-09
0.4928311.737649.223901e-09
0.4954921.7373338.756885e-09
0.4981671.7370298.287348e-09
0.51.7368247.965700e-09
0.5008571.7367297.904221e-09
0.5035611.7364327.710240e-09
0.506281.7361397.515213e-09
0.5090131.7358487.319132e-09
0.5117621.7355617.121993e-09
0.5145251.7352776.923789e-09
0.5173031.7349966.724515e-09
0.5200961.7347196.524165e-09
0.5229041.7344446.322734e-09
0.5257271.7341726.120215e-09
0.5285651.7339035.916603e-09
0.5314191.7336375.711891e-09
0.5342881.7333745.506074e-09
0.5371731.7331135.299146e-09
0.5400731.7328565.091101e-09
0.5429891.7326014.881932e-09
0.5459211.7323494.671634e-09
0.5488681.7320994.460201e-09
0.551.7320054.379000e-09
0.5518311.7318524.568730e-09
0.5548111.7316084.877387e-09
0.5578061.7313665.187711e-09
0.5608181.7311275.499711e-09
0.5638461.730895.813395e-09
0.566891.7306566.128772e-09
0.5699511.7304246.445852e-09
0.5730281.7301946.764644e-09
0.5761221.7299677.085158e-09
0.5792321.7297427.407402e-09
0.582361.729527.731385e-09
0.5855041.7292998.057118e-09
0.5886651.7290818.384610e-09
0.5918431.7288658.713869e-09
0.5950391.7286519.044907e-09
0.5982511.7284399.377731e-09
0.61.7283269.558900e-09
0.6014811.728239.429031e-09
0.6047291.7280229.144309e-09
0.6079941.7278178.858049e-09
0.6112761.7276138.570244e-09
0.6145771.7274118.280885e-09
0.6178951.7272127.989963e-09
0.6212311.7270147.697471e-09
0.6245851.7268187.403400e-09
0.6279571.7266247.107741e-09
0.6313471.7264326.810486e-09
0.6347561.7262416.511625e-09
0.6381831.7260536.211152e-09
0.6416291.7258665.909056e-09
0.6450931.725685.605329e-09
0.6485761.7254975.299962e-09
0.651.7254235.175100e-09
0.6520781.7253155.191642e-09
0.6555981.7251355.219673e-09
0.6591381.7249565.247855e-09
0.6626971.7247795.276190e-09
0.6662741.7246045.304678e-09
0.6698721.724435.333319e-09
0.6734881.7242585.362115e-09
0.6771251.7240875.391066e-09
0.680781.7239185.420174e-09
0.6844561.723755.449439e-09
0.6881521.7235835.478862e-09
0.6918671.7234185.508444e-09
0.6956021.7232555.538186e-09
0.6993581.7230925.568088e-09
0.71.7230655.573200e-09
0.7031341.7229315.797950e-09
0.706931.7227726.070211e-09
0.7107471.7226136.343942e-09
0.7145841.7224566.619150e-09
0.7184421.7223016.895845e-09
0.7223211.7221467.174033e-09
0.7262211.7219937.453724e-09
0.7301421.7218417.734924e-09
0.7340841.721698.017643e-09
0.7380471.721548.301888e-09
0.7420321.7213918.587668e-09
0.7460391.7212438.874990e-09
0.7500661.7210979.163864e-09
0.7541161.7209529.454298e-09
0.7581881.7208079.746300e-09
0.7622811.7206641.003988e-08
0.7663971.7205221.033504e-08
0.7705351.720381.063180e-08
0.7746951.720241.093016e-08
0.7788771.7201011.123013e-08
0.7830831.7199621.153172e-08
0.787311.7198251.183493e-08
0.7915611.7196881.213979e-08
0.7958351.7195531.244629e-08
0.81.7194221.274500e-08
0.8001321.7194181.274710e-08
0.8044521.7192841.281592e-08
0.8087951.7191511.288510e-08
0.8131621.7190181.295467e-08
0.8175521.7188871.302460e-08
0.8219661.7187561.309492e-08
0.8264041.7186261.316561e-08
0.8308661.7184971.323669e-08
0.8353521.7183691.330815e-08
0.8398621.7182411.338000e-08
0.8443961.7181141.345223e-08
0.8489551.7179881.352486e-08
0.8535391.7178621.359787e-08
0.8581471.7177371.367128e-08
0.862781.7176131.374509e-08
0.8674381.7174891.381929e-08
0.8721221.7173661.389390e-08
0.876831.7172441.396891e-08
0.8815651.7171221.404432e-08
0.8863241.7171.412014e-08
0.8911091.716881.419637e-08
0.8959211.7167591.427302e-08
0.91.7166581.433800e-08
0.9007581.716641.441053e-08
0.9056211.716521.487599e-08
0.9105111.7164021.534396e-08
0.9154261.7162831.581447e-08
0.9203691.7161651.628751e-08
0.9253381.7160481.676310e-08
0.9303341.7159311.724127e-08
0.9353571.7158141.772201e-08
0.9404071.7156981.820535e-08
0.9454841.7155821.869131e-08
0.9505891.7154671.917988e-08
0.9557211.7153521.967109e-08
0.9608811.7152372.016496e-08
0.9660691.7151232.066149e-08
0.9712851.7150092.116070e-08
0.9765291.7148952.166260e-08
0.9818011.7147812.216722e-08
0.9871021.7146682.267456e-08
0.9924321.7145552.318464e-08
0.997791.7144422.369748e-08
11.7143962.390900e-08
1.003181.714332.413719e-08
1.008591.7142182.452622e-08
1.014041.7141062.491734e-08
1.019511.7139942.531057e-08
1.025021.7138822.570592e-08
1.030551.713772.610341e-08
1.036121.7136592.650305e-08
1.041711.7135472.690484e-08
1.047331.7134362.730881e-08
1.052991.7133252.771495e-08
1.058671.7132142.812329e-08
1.064391.7131032.853383e-08
1.070141.7129922.894659e-08
1.075911.7128812.936157e-08
1.081721.712772.977880e-08
1.087561.7126593.019828e-08
1.093441.7125493.062002e-08
1.099341.7124383.104405e-08
1.105271.7123273.147036e-08
1.111241.7122163.189897e-08
1.117241.7121053.232990e-08
1.123271.7119943.276315e-08
1.129341.7118833.319874e-08
1.135441.7117723.363669e-08
1.141571.711663.407699e-08
1.147731.7115493.451968e-08
1.153931.7114373.496476e-08
1.160161.7113263.541223e-08
1.166421.7112143.586213e-08
1.172721.7111023.631445e-08
1.179051.7109893.676922e-08
1.185421.7108773.722644e-08
1.191821.7107643.768613e-08
1.198251.7106513.814830e-08
1.21.7106213.827400e-08
1.204721.7105383.974754e-08
1.211221.7104254.177839e-08
1.217761.7103114.382022e-08
1.224341.7101974.587306e-08
1.230951.7100834.793699e-08
1.237591.7099685.001207e-08
1.244281.7098535.209834e-08
1.250991.7097385.419588e-08
1.257751.7096225.630475e-08
1.264541.7095065.842500e-08
1.271371.7093896.055670e-08
1.278231.7092726.269991e-08
1.285131.7091556.485468e-08
1.292071.7090376.702110e-08
1.299051.7089196.919921e-08
1.306061.70887.138908e-08
1.313111.7086817.359077e-08
1.32021.7085617.580435e-08
1.327331.7084417.802988e-08
1.33451.7083218.026743e-08
1.34171.7081998.251705e-08
1.348941.7080778.477883e-08
1.356231.7079558.705281e-08
1.363551.7078328.933907e-08
1.370911.7077089.163768e-08
1.378311.7075849.394870e-08
1.385751.7074599.627219e-08
1.393241.7073349.860823e-08
1.41.707221.007200e-07
1.400761.7072071.007746e-07
1.408321.7070811.013187e-07
1.415931.7069531.018658e-07
1.423571.7068251.024158e-07
1.431261.7066961.029688e-07
1.438981.7065661.035248e-07
1.446751.7064351.040838e-07
1.454561.7063041.046458e-07
1.462421.7061711.052109e-07
1.470311.7060381.057790e-07
1.478251.7059051.063501e-07
1.486231.705771.069244e-07
1.494261.7056341.075017e-07
1.502321.7054981.080822e-07
1.510431.705361.086658e-07
1.518591.7052221.092525e-07
1.526791.7050821.098425e-07
1.535031.7049421.104356e-07
1.543321.7048011.110319e-07
1.551651.7046591.116314e-07
1.560031.7045151.122341e-07
1.568451.7043711.128402e-07
1.576921.7042261.134494e-07
1.585431.7040791.140620e-07
1.593991.7039311.146779e-07
1.61.7038281.151100e-07
1.60261.7037831.169963e-07
1.611251.7036331.232725e-07
1.619951.7034821.295825e-07
1.62871.7033291.359266e-07
1.637491.7031761.423049e-07
1.646331.7030211.487177e-07
1.655221.7028651.551651e-07
1.664161.7027081.616473e-07
1.673141.702551.681645e-07
1.682181.702391.747169e-07
1.691261.7022291.813046e-07
1.700391.7020661.879280e-07
1.709571.7019021.945871e-07
1.71881.7017372.012821e-07
1.728081.701572.080133e-07
1.737411.7014022.147808e-07
1.746791.7012332.215849e-07
1.756221.7010622.284257e-07
1.76571.7008892.353035e-07
1.775241.7007152.422183e-07
1.784821.7005392.491706e-07
1.794461.7003622.561603e-07
1.81.7002592.601800e-07
1.804151.7001832.696340e-07
1.813891.7000022.918419e-07
1.823681.699823.141696e-07
1.833531.6996363.366179e-07
1.843431.699453.591874e-07
1.853381.6992633.818788e-07
1.863391.6990734.046927e-07
1.873451.6988824.276297e-07
1.883561.6986894.506906e-07
1.893731.6984954.738760e-07
1.903951.6982984.971866e-07
1.914231.69815.206230e-07
1.924571.6978995.441859e-07
1.934961.6976975.678761e-07
1.945411.6974925.916942e-07
1.955911.6972866.156409e-07
1.966471.6970776.397169e-07
1.977091.6968666.639228e-07
1.987761.6966546.882595e-07
1.998491.6964397.127275e-07
21.6964087.161600e-07
2.009281.6962227.960965e-07
2.020131.6960028.894968e-07
2.031041.6957819.834014e-07
2.042011.6955571.077813e-06
2.053031.695331.172734e-06
2.064111.6951021.268168e-06
2.075261.6948711.364117e-06
2.086461.6946371.460584e-06
2.097731.6944011.557572e-06
2.109051.6941631.655084e-06
2.120441.6939221.753122e-06
2.131891.6936791.851689e-06
2.14341.6934321.950789e-06
2.154971.6931842.050424e-06
2.166611.6929322.150596e-06
2.17831.6926782.251309e-06
2.190071.6924212.352567e-06
2.21.6922032.438100e-06
2.201891.6921612.507247e-06
2.213781.6918992.942234e-06
2.225731.6916333.379571e-06
2.237751.6913653.819268e-06
2.249831.6910934.261339e-06
2.261981.6908194.705798e-06
2.274191.6905415.152655e-06
2.286471.690265.601926e-06
2.298811.6899776.053622e-06
2.311221.6896896.507757e-06
2.32371.6893996.964343e-06
2.336251.6891067.423395e-06
2.348861.6888097.884926e-06
2.361541.6885088.348948e-06
2.374291.6882048.815475e-06
2.387111.6878979.284521e-06
2.41.6875869.756100e-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
—