Optical constants

Refractive index of S-LAL61 (OHARA)

S-LAL61: n,k 0.29–2.4 µm

Data
formula 2 + tabulated k
Range
0.29–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.29–2.4 µm
Refractive index n
1.741
Extinction coefficient k
1.40486e-08
Permittivity ε1
3.03107
Permittivity ε2
4.89173e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
52.637
Chromatic dispersion dn/dλ
-0.0726062 µm⁻¹
Group index ng
1.78366
Group velocity dispersion
128.108 fs²/mm
Dispersion parameter D
-698.896 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-LAL61 (OHARA): S-LAL61
ohara_s_lal61 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL61", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal61.range_nm)  # (290, 2400) nm
eps = ohara_s_lal61.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=1.11073292λ2λ2−0.00464181248+0.859347773λ2λ2−0.0192989261+1.26707433λ2λ2−87.3917698

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.11073292
C30.00464181248
C40.859347773
C50.0192989261
C61.26707433
C787.3917698

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.12e-06 1.34e-08 -3.54e-11 4.23e-07 4.31e-10 0.226
nd
1.740999
Vd
52.636502
glass code
741527
density
value: 4040
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.0096
resistance
acid: 51.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.52e-06 K⁻¹ at 633 nm, dn/dT = 1.92e-06 K⁻¹ at 1310 nm, dn/dT = 1.87e-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 429 wavelengths, the same grid as the API and the library
S-LAL61 (OHARA), S-LAL61: n and k versus wavelength
λ (µm)nk
0.291.8137479.028000e-06
0.291541.8125818.615333e-06
0.2930881.8114348.200475e-06
0.2946451.8103047.783413e-06
0.296211.809197.364137e-06
0.2977831.8080946.942634e-06
0.2993641.8070136.518893e-06
0.31.8065856.348500e-06
0.3009541.8059496.189341e-06
0.3025521.80495.922671e-06
0.3041591.8038675.654585e-06
0.3057741.8028485.385075e-06
0.3073981.8018455.114134e-06
0.3090311.8008564.841754e-06
0.311.8002784.680000e-06
0.3106721.7998814.589603e-06
0.3123221.7989214.367564e-06
0.313981.7979744.144345e-06
0.3156481.797043.919941e-06
0.3173241.796123.694346e-06
0.3190091.7952133.467552e-06
0.321.7946883.334200e-06
0.3207031.7943193.255581e-06
0.3224061.7934373.065187e-06
0.3241191.7925682.873781e-06
0.325841.791712.681359e-06
0.327571.7908652.487916e-06
0.329311.7900312.293444e-06
0.331.7897052.216300e-06
0.3310591.7892092.132795e-06
0.3328171.7883991.994131e-06
0.3345841.7875991.854730e-06
0.3363611.786811.714589e-06
0.3381481.7860321.573704e-06
0.3399431.7852651.432070e-06
0.341.7852411.427600e-06
0.3417491.7845071.337956e-06
0.3435641.783761.244915e-06
0.3453881.7830241.151379e-06
0.3472221.7822971.057347e-06
0.3490661.7815799.628158e-07
0.351.7812219.149500e-07
0.350921.7808728.830758e-07
0.3527841.7801738.185146e-07
0.3546571.7794847.536106e-07
0.3565411.7788046.883618e-07
0.3584341.7781336.227666e-07
0.361.7775875.685200e-07
0.3603381.777475.609095e-07
0.3622511.7768175.177763e-07
0.3641751.7761724.744141e-07
0.3661091.7755354.308216e-07
0.3680531.7749063.869976e-07
0.371.7742883.431200e-07
0.3700081.7742863.430088e-07
0.3719731.7736733.155226e-07
0.3739481.7730692.878905e-07
0.3759341.7724722.601116e-07
0.3779311.7718832.321852e-07
0.3799381.7713012.041104e-07
0.381.7712832.032400e-07
0.3819551.7707261.895359e-07
0.3839841.7701591.753207e-07
0.3860231.7695991.610299e-07
0.3880731.7690461.466633e-07
0.391.7685361.331600e-07
0.3901341.76851.326306e-07
0.3922061.7679611.244498e-07
0.3942891.7674291.162256e-07
0.3963831.7669031.079577e-07
0.3984881.7663849.964593e-08
0.41.7660169.367500e-08
0.4006041.7658719.267938e-08
0.4027311.7653648.917268e-08
0.404871.7648648.564735e-08
0.407021.764378.210330e-08
0.4091821.7638827.854043e-08
0.4113551.76347.495863e-08
0.413541.7629237.135782e-08
0.4157361.7624536.773788e-08
0.4179441.7619886.409872e-08
0.421.7615626.070900e-08
0.4201631.7615296.055868e-08
0.4223941.7610755.850161e-08
0.4246381.7606275.643361e-08
0.4268931.7601845.435463e-08
0.429161.7597475.226461e-08
0.4314391.7593145.016349e-08
0.433731.7588874.805122e-08
0.4360331.7584654.592772e-08
0.4383491.7580484.379295e-08
0.441.7577554.227100e-08
0.4406771.7576364.196034e-08
0.4430171.7572284.088650e-08
0.445371.7568263.980696e-08
0.4477351.7564283.872169e-08
0.4501131.7560343.763065e-08
0.4525031.7556463.653382e-08
0.4549061.7552623.543116e-08
0.4573221.7548823.432265e-08
0.4597511.7545073.320825e-08
0.461.7544693.309400e-08
0.4621931.7541363.198598e-08
0.4646471.7537693.074557e-08
0.4671151.7534062.949858e-08
0.4695951.7530482.824497e-08
0.4720891.7526942.698470e-08
0.4745961.7523442.571773e-08
0.4771171.7519972.444404e-08
0.4796511.7516552.316359e-08
0.481.7516082.298700e-08
0.4821981.7513162.221337e-08
0.4847591.7509822.131197e-08
0.4873331.7506512.040579e-08
0.4899211.7503231.949479e-08
0.4925231.751.857896e-08
0.4951381.749681.765826e-08
0.4977681.7493631.673267e-08
0.51.7490991.594700e-08
0.5004111.749051.592398e-08
0.5030691.7487411.577532e-08
0.5057411.7484351.562587e-08
0.5084261.7481321.547563e-08
0.5111261.7478321.532459e-08
0.5138411.7475361.517274e-08
0.516571.7472431.502009e-08
0.5193131.7469531.486663e-08
0.5220711.7466671.471235e-08
0.5248431.7463831.455726e-08
0.5276311.7461031.440134e-08
0.5304331.7458251.424459e-08
0.533251.7455511.408701e-08
0.5360821.7452791.392859e-08
0.5389291.745011.376934e-08
0.5417911.7447441.360923e-08
0.5446681.7444811.344828e-08
0.547561.744221.328647e-08
0.551.7440041.315000e-08
0.5504681.7439631.316119e-08
0.5533921.7437081.323106e-08
0.5563311.7434551.330130e-08
0.5592851.7432061.337191e-08
0.5622551.7429581.344290e-08
0.5652411.7427141.351426e-08
0.5682431.7424721.358601e-08
0.5712611.7422321.365813e-08
0.5742941.7419951.373064e-08
0.5773441.741761.380353e-08
0.580411.7415271.387681e-08
0.5834931.7412971.395048e-08
0.5865911.741071.402454e-08
0.5897071.7408441.409899e-08
0.5928381.7406211.417384e-08
0.5959871.7403991.424908e-08
0.5991521.740181.432473e-08
0.61.7401221.434500e-08
0.6023341.7399641.440082e-08
0.6055321.7397491.447734e-08
0.6087481.7395361.455426e-08
0.6119811.7393261.463159e-08
0.6152311.7391171.470933e-08
0.6184981.7389111.478748e-08
0.6217831.7387061.486605e-08
0.6250851.7385031.494504e-08
0.6284051.7383031.502444e-08
0.6317421.7381041.510427e-08
0.6350971.7379071.518452e-08
0.638471.7377121.526520e-08
0.641861.7375181.534630e-08
0.6452691.7373271.542784e-08
0.6486961.7371371.550981e-08
0.651.7370651.554100e-08
0.6521411.7369491.535307e-08
0.6556041.7367621.504907e-08
0.6590861.7365781.474344e-08
0.6625861.7363941.443620e-08
0.6661051.7362131.412732e-08
0.6696421.7360331.381680e-08
0.6731981.7358551.350464e-08
0.6767741.7356781.319081e-08
0.6803681.7355031.287532e-08
0.6839811.7353291.255816e-08
0.6876131.7351571.223931e-08
0.6912651.7349861.191876e-08
0.6949361.7348171.159652e-08
0.6986271.7346491.127256e-08
0.71.7345871.115200e-08
0.7023371.7344831.118922e-08
0.7060671.7343171.124864e-08
0.7098161.7341541.130837e-08
0.7135861.7339911.136842e-08
0.7173751.733831.142879e-08
0.7211851.733671.148948e-08
0.7250151.7335121.155049e-08
0.7288651.7333541.161183e-08
0.7327361.7331981.167349e-08
0.7366281.7330431.173548e-08
0.740541.7328891.179779e-08
0.7444721.7327371.186044e-08
0.7484261.7325861.192342e-08
0.7524011.7324351.198674e-08
0.7563961.7322861.205039e-08
0.7604131.7321381.211438e-08
0.7644511.7319911.217871e-08
0.7685111.7318451.224338e-08
0.7725931.73171.230840e-08
0.7766951.7315561.237376e-08
0.780821.7314131.243947e-08
0.7849671.7312711.250552e-08
0.7891361.731131.257193e-08
0.7933261.730991.263869e-08
0.797541.7308511.270580e-08
0.81.7307711.274500e-08
0.8017751.7307131.277328e-08
0.8060331.7305761.284110e-08
0.8103131.7304391.290929e-08
0.8146171.7303031.297785e-08
0.8189431.7301691.304676e-08
0.8232921.7300351.311604e-08
0.8276641.7299021.318569e-08
0.832061.7297691.325571e-08
0.8364781.7296381.332610e-08
0.8409211.7295071.339687e-08
0.8453871.7293771.346801e-08
0.8498761.7292471.353953e-08
0.8543891.7291191.361142e-08
0.8589271.7289911.368370e-08
0.8634881.7288641.375637e-08
0.8680741.7287371.382942e-08
0.8726841.7286111.390286e-08
0.8773191.7284861.397668e-08
0.8819781.7283611.405090e-08
0.8866621.7282371.412552e-08
0.891371.7281131.420053e-08
0.8961041.727991.427594e-08
0.91.727891.433800e-08
0.9008631.7278681.435175e-08
0.9056471.7277461.442796e-08
0.9104571.7276241.450458e-08
0.9152921.7275031.458160e-08
0.9201531.7273831.465903e-08
0.9250391.7272631.473688e-08
0.9299521.7271441.481513e-08
0.934891.7270251.489380e-08
0.9398551.7269061.497290e-08
0.9448471.7267881.505241e-08
0.9498641.726671.513234e-08
0.9549091.7265531.521270e-08
0.959981.7264361.529348e-08
0.9650781.7263191.537469e-08
0.9702031.7262031.545634e-08
0.9753561.7260871.553842e-08
0.9805351.7259711.562093e-08
0.9857431.7258561.570388e-08
0.9909781.7257411.578727e-08
0.996241.7256261.587111e-08
11.7255451.593100e-08
1.001531.7255121.595540e-08
1.006851.7253971.604015e-08
1.01221.7252831.612536e-08
1.017571.725171.621101e-08
1.022981.7250561.629713e-08
1.028411.7249431.638370e-08
1.033871.7248291.647073e-08
1.039361.7247161.655822e-08
1.044881.7246041.664617e-08
1.050431.7244911.673460e-08
1.056011.7243781.682349e-08
1.061621.7242661.691285e-08
1.067251.7241531.700269e-08
1.072921.7240411.709301e-08
1.078621.7239291.718381e-08
1.084351.7238161.727508e-08
1.090111.7237041.736685e-08
1.09591.7235921.745910e-08
1.101721.723481.755184e-08
1.107571.7233681.764507e-08
1.113451.7232561.773880e-08
1.119361.7231431.783303e-08
1.125311.7230311.792775e-08
1.131281.7229191.802298e-08
1.137291.7228071.811872e-08
1.143331.7226941.821496e-08
1.14941.7225821.831171e-08
1.155511.7224691.840898e-08
1.161641.7223561.850677e-08
1.167811.7222441.860507e-08
1.174011.722131.870390e-08
1.180251.7220171.880325e-08
1.186521.7219041.890313e-08
1.192821.721791.900354e-08
1.199151.7216771.910448e-08
1.21.7216611.911800e-08
1.205521.7215632.044076e-08
1.211921.7214482.197496e-08
1.218361.7213342.351731e-08
1.224831.7212192.506784e-08
1.231331.7211042.662661e-08
1.237871.7209892.819366e-08
1.244451.7208732.976903e-08
1.251051.7207583.135277e-08
1.25771.7206413.294492e-08
1.264381.7205253.454552e-08
1.271091.7204083.615463e-08
1.277841.7202913.777227e-08
1.284631.7201733.939851e-08
1.291451.7200554.103339e-08
1.298311.7199364.267695e-08
1.30521.7198174.432924e-08
1.312141.7196984.599030e-08
1.31911.7195784.766018e-08
1.326111.7194584.933893e-08
1.333151.7193375.102660e-08
1.340231.7192165.272322e-08
1.347351.7190945.442886e-08
1.35451.7189715.614356e-08
1.36171.7188485.786736e-08
1.368931.7187255.960032e-08
1.37621.7186016.134248e-08
1.383511.7184766.309390e-08
1.390861.7183516.485461e-08
1.398241.7182256.662467e-08
1.41.7181956.704600e-08
1.405671.7180986.731741e-08
1.413131.7179716.767491e-08
1.420641.7178436.803431e-08
1.428181.7177146.839562e-08
1.435771.7175856.875884e-08
1.443391.7174556.912400e-08
1.451061.7173246.949109e-08
1.458761.7171936.986013e-08
1.466511.717067.023113e-08
1.47431.7169277.060411e-08
1.482131.7167937.097906e-08
1.491.7166587.135601e-08
1.497911.7165237.173495e-08
1.505871.7163867.211591e-08
1.513861.7162497.249889e-08
1.52191.7161117.288391e-08
1.529981.7159717.327097e-08
1.538111.7158317.366009e-08
1.546281.715697.405127e-08
1.554491.7155487.444453e-08
1.562751.7154057.483988e-08
1.571041.7152617.523733e-08
1.579391.7151167.563689e-08
1.587781.714977.603857e-08
1.596211.7148237.644238e-08
1.61.7147567.662400e-08
1.604681.7146747.990005e-08
1.613211.7145258.585968e-08
1.621771.7143749.185096e-08
1.630391.7142239.787407e-08
1.639041.714071.039292e-07
1.647751.7139161.100164e-07
1.65651.7137611.161360e-07
1.66531.7136041.222880e-07
1.674141.7134461.284728e-07
1.683031.7132871.346904e-07
1.691971.7131271.409410e-07
1.700951.7129661.472248e-07
1.709991.7128031.535419e-07
1.719071.7126381.598927e-07
1.72821.7124731.662771e-07
1.737381.7123061.726955e-07
1.74661.7121371.791479e-07
1.755881.7119671.856346e-07
1.76521.7117961.921558e-07
1.774581.7116231.987115e-07
1.7841.7114492.053022e-07
1.793481.7112732.119278e-07
1.81.7111512.164900e-07
1.8031.7110952.232388e-07
1.812581.7109162.447732e-07
1.82221.7107362.664220e-07
1.831881.7105532.881857e-07
1.841611.7103693.100650e-07
1.851391.7101833.320606e-07
1.861221.7099963.541729e-07
1.87111.7098073.764027e-07
1.881041.7096163.987505e-07
1.891031.7094234.212170e-07
1.901071.7092294.438028e-07
1.911171.7090324.665085e-07
1.921321.7088344.893349e-07
1.931521.7086345.122824e-07
1.941781.7084315.353519e-07
1.952091.7082275.585438e-07
1.962461.7080215.818589e-07
1.972881.7078136.052978e-07
1.983361.7076036.288612e-07
1.993891.7073916.525498e-07
21.7072676.662900e-07
2.004481.7071767.014914e-07
2.015121.706967.851464e-07
2.025831.7067418.692456e-07
2.036581.706529.537915e-07
2.04741.7062971.038786e-06
2.058271.7060711.124233e-06
2.06921.7058431.210133e-06
2.080191.7056131.296489e-06
2.091241.705381.383304e-06
2.102351.7051451.470579e-06
2.113511.7049081.558319e-06
2.124731.7046681.646524e-06
2.136021.7044261.735198e-06
2.147361.7041811.824342e-06
2.158771.7039331.913960e-06
2.170231.7036832.004054e-06
2.181761.703432.094627e-06
2.193341.7031742.185680e-06
2.21.7030262.238000e-06
2.204991.7029152.409964e-06
2.21671.7026542.813476e-06
2.228471.702393.219132e-06
2.240311.7021233.626942e-06
2.25221.7018534.036917e-06
2.264171.701584.449070e-06
2.276191.7013044.863412e-06
2.288281.7010265.279954e-06
2.300431.7007435.698708e-06
2.312651.7004586.119686e-06
2.324931.700176.542900e-06
2.337281.6998786.968361e-06
2.349691.6995837.396082e-06
2.362171.6992857.826074e-06
2.374711.6989838.258349e-06
2.387321.6986788.692921e-06
2.41.698379.129800e-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
—