Optical constants

Refractive index of S-LAL8 (OHARA)

S-LAL8: 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
1.71299
Extinction coefficient k
1.65641e-08
Permittivity ε1
2.93434
Permittivity ε2
5.67483e-08
Absorption coefficient α
0.00354238 cm⁻¹
Penetration depth δ = λ/(2πk)
5.64592e+09 nm
Abbe number Vd
53.867
Chromatic dispersion dn/dλ
-0.0682987 µm⁻¹
Group index ng
1.75312
Group velocity dispersion
120.09 fs²/mm
Dispersion parameter D
-655.155 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-LAL8 (OHARA): S-LAL8
ohara_s_lal8 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal8.range_nm)  # (290, 2400) nm
eps = ohara_s_lal8.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=1.30663291λ2λ2−0.00611862448+0.571377253λ2λ2−0.021272147+1.24303605λ2λ2−90.6285686

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.30663291
C30.00611862448
C40.571377253
C50.021272147
C61.24303605
C790.6285686

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.24e-06 1.31e-08 -3.71e-11 3.81e-07 4.99e-10 0.252
nd
1.712995
Vd
53.867058
glass code
713539
density
value: 3790
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0084
resistance
acid: 52.0; climatic: 3.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.46e-06 K⁻¹ at 633 nm, dn/dT = 1.91e-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-LAL8 (OHARA), S-LAL8: n and k versus wavelength
λ (µm)nk
0.291.7812458.092200e-06
0.291541.7801517.823655e-06
0.2930881.7790747.553683e-06
0.2946451.7780137.282278e-06
0.296211.7769687.009432e-06
0.2977831.7759396.735136e-06
0.2993641.7749256.459384e-06
0.31.7745246.348500e-06
0.3009541.7739276.189341e-06
0.3025521.7729435.922671e-06
0.3041591.7719735.654585e-06
0.3057741.7710185.385075e-06
0.3073981.7700775.114134e-06
0.3090311.769154.841754e-06
0.311.7686074.680000e-06
0.3106721.7682354.583383e-06
0.3123221.7673344.346066e-06
0.313981.7664474.107489e-06
0.3156481.7655713.867644e-06
0.3173241.7647083.626526e-06
0.3190091.7638583.384127e-06
0.321.7633663.241600e-06
0.3207031.7630193.165246e-06
0.3224061.7621932.980336e-06
0.3241191.7613782.794443e-06
0.325841.7605742.607564e-06
0.327571.7597812.419692e-06
0.329311.7592.230822e-06
0.331.7586942.155900e-06
0.3310591.7582292.073973e-06
0.3328171.7574691.937928e-06
0.3345841.7567191.801161e-06
0.3363611.755981.663667e-06
0.3381481.755251.525444e-06
0.3399431.7545311.386486e-06
0.341.7545081.382100e-06
0.3417491.7538211.287068e-06
0.3435641.7531211.188435e-06
0.3453881.752431.089279e-06
0.3472221.7517499.895952e-07
0.3490661.7510768.893825e-07
0.351.7507418.386400e-07
0.350921.7504138.074356e-07
0.3527841.7497587.442311e-07
0.3546571.7491126.806910e-07
0.3565411.7484756.168134e-07
0.3584341.7478455.525966e-07
0.361.7473344.994900e-07
0.3603381.7472244.925487e-07
0.3622511.7466124.532084e-07
0.3641751.7460074.136591e-07
0.3661091.745413.738998e-07
0.3680531.7448213.339293e-07
0.371.7442412.939100e-07
0.3700081.7442392.938149e-07
0.3719731.7436652.703058e-07
0.3739481.7430982.466719e-07
0.3759341.7425382.229125e-07
0.3779311.7419861.990269e-07
0.3799381.741441.750145e-07
0.381.7414231.742700e-07
0.3819551.7409021.618135e-07
0.3839841.740371.488924e-07
0.3860231.7398451.359027e-07
0.3880731.7393261.228440e-07
0.391.7388471.105700e-07
0.3901341.7388141.100805e-07
0.3922061.7383091.025174e-07
0.3942891.7378099.491410e-08
0.3963831.7373168.727042e-08
0.3984881.7368297.958614e-08
0.41.7364857.406600e-08
0.4006041.7363487.304773e-08
0.4027311.7358736.946125e-08
0.404871.7354046.585571e-08
0.407021.7349416.223103e-08
0.4091821.7344835.858710e-08
0.4113551.7340315.492382e-08
0.413541.7335845.124109e-08
0.4157361.7331424.753879e-08
0.4179441.7327064.381684e-08
0.421.7323074.035000e-08
0.4201631.7322764.027911e-08
0.4223941.731853.930904e-08
0.4246381.731433.833381e-08
0.4268931.7310143.735340e-08
0.429161.7306043.636779e-08
0.4314391.7301983.537694e-08
0.433731.7297973.438084e-08
0.4360331.7294013.337944e-08
0.4383491.729013.237272e-08
0.441.7287353.165500e-08
0.4406771.7286233.132918e-08
0.4430171.728243.020292e-08
0.445371.7278632.907067e-08
0.4477351.7274892.793242e-08
0.4501131.727122.678812e-08
0.4525031.7267552.563774e-08
0.4549061.7263952.448126e-08
0.4573221.7260382.331863e-08
0.4597511.7256862.214983e-08
0.461.725652.203000e-08
0.4621931.7253382.129329e-08
0.4646471.7249942.046856e-08
0.4671151.7246531.963946e-08
0.4695951.7243171.880595e-08
0.4720891.7239841.796801e-08
0.4745961.7236551.712563e-08
0.4771171.723331.627877e-08
0.4796511.7230091.542741e-08
0.481.7229651.531000e-08
0.4821981.7226911.494132e-08
0.4847591.7223771.451174e-08
0.4873331.7220661.407989e-08
0.4899211.7217581.364574e-08
0.4925231.7214551.320929e-08
0.4951381.7211541.277052e-08
0.4977681.7208571.232942e-08
0.51.7206081.195500e-08
0.5004111.7205631.192873e-08
0.5030691.7202721.175904e-08
0.5057411.7199841.158844e-08
0.5084261.71971.141694e-08
0.5111261.7194191.124453e-08
0.5138411.719141.107120e-08
0.516571.7188651.089696e-08
0.5193131.7185931.072179e-08
0.5220711.7183231.054568e-08
0.5248431.7180571.036865e-08
0.5276311.7177931.019067e-08
0.5304331.7175321.001175e-08
0.533251.7172749.831872e-09
0.5360821.7170199.651044e-09
0.5389291.7167669.469255e-09
0.5417911.7165169.286501e-09
0.5446681.7162699.102777e-09
0.547561.7160248.918076e-09
0.551.7158218.762300e-09
0.5504681.7157828.859476e-09
0.5533921.7155429.466053e-09
0.5563311.7153051.007585e-08
0.5592851.715071.068889e-08
0.5622551.7148381.130518e-08
0.5652411.7146081.192474e-08
0.5682431.714381.254760e-08
0.5712611.7141551.317376e-08
0.5742941.7139321.380325e-08
0.5773441.7137111.443608e-08
0.580411.7134921.507227e-08
0.5834931.7132761.571184e-08
0.5865911.7130611.635481e-08
0.5897071.7128491.700119e-08
0.5928381.7126391.765101e-08
0.5959871.7124311.830427e-08
0.5991521.7122251.896101e-08
0.61.712171.913700e-08
0.6023341.7120211.896916e-08
0.6055321.7118191.873910e-08
0.6087481.7116191.850783e-08
0.6119811.7114211.827532e-08
0.6152311.7112241.804158e-08
0.6184981.711031.780659e-08
0.6217831.7108371.757036e-08
0.6250851.7106471.733288e-08
0.6284051.7104581.709413e-08
0.6317421.7102711.685412e-08
0.6350971.7100851.661283e-08
0.638471.7099011.637026e-08
0.641861.7097191.612640e-08
0.6452691.7095391.588125e-08
0.6486961.709361.563479e-08
0.651.7092931.554100e-08
0.6521411.7091831.559217e-08
0.6556041.7090071.567494e-08
0.6590861.7088331.575815e-08
0.6625861.7086611.584181e-08
0.6661051.708491.592590e-08
0.6696421.7083211.601045e-08
0.6731981.7081531.609544e-08
0.6767741.7079861.618089e-08
0.6803681.7078211.626679e-08
0.6839811.7076571.635314e-08
0.6876131.7074951.643996e-08
0.6912651.7073341.652723e-08
0.6949361.7071751.661497e-08
0.6986271.7070161.670318e-08
0.71.7069581.673600e-08
0.7023371.7068591.664274e-08
0.7060671.7067041.649388e-08
0.7098161.7065491.634423e-08
0.7135861.7063961.619379e-08
0.7173751.7062441.604254e-08
0.7211851.7060941.589050e-08
0.7250151.7059441.573764e-08
0.7288651.7057961.558398e-08
0.7327361.7056481.542950e-08
0.7366281.7055021.527419e-08
0.740541.7053571.511807e-08
0.7444721.7052131.496111e-08
0.7484261.7050711.480332e-08
0.7524011.7049291.464470e-08
0.7563961.7047881.448523e-08
0.7604131.7046481.432491e-08
0.7644511.7045091.416374e-08
0.7685111.7043721.400172e-08
0.7725931.7042351.383883e-08
0.7766951.7040991.367508e-08
0.780821.7039641.351046e-08
0.7849671.703831.334497e-08
0.7891361.7036971.317860e-08
0.7933261.7035651.301134e-08
0.797541.7034331.284320e-08
0.81.7033571.274500e-08
0.8017751.7033031.290072e-08
0.8060331.7031731.327427e-08
0.8103131.7030441.364980e-08
0.8146171.7029161.402733e-08
0.8189431.7027891.440686e-08
0.8232921.7026621.478841e-08
0.8276641.7025361.517198e-08
0.832061.7024111.555760e-08
0.8364781.7022871.594526e-08
0.8409211.7021631.633497e-08
0.8453871.702041.672676e-08
0.8498761.7019181.712063e-08
0.8543891.7017971.751659e-08
0.8589271.7016761.791465e-08
0.8634881.7015551.831483e-08
0.8680741.7014351.871713e-08
0.8726841.7013161.912157e-08
0.8773191.7011981.952816e-08
0.8819781.701081.993690e-08
0.8866621.7009622.034782e-08
0.891371.7008452.076092e-08
0.8961041.7007292.117621e-08
0.91.7006342.151800e-08
0.9008631.7006132.153863e-08
0.9056471.7004982.165302e-08
0.9104571.7003832.176802e-08
0.9152921.7002682.188363e-08
0.9201531.7001542.199985e-08
0.9250391.7000412.211669e-08
0.9299521.6999282.223415e-08
0.934891.6998152.235223e-08
0.9398551.6997032.247094e-08
0.9448471.6995912.259028e-08
0.9498641.6994792.271026e-08
0.9549091.6993682.283087e-08
0.959981.6992572.295212e-08
0.9650781.6991462.307402e-08
0.9702031.6990362.319656e-08
0.9753561.6989262.331975e-08
0.9805351.6988172.344360e-08
0.9857431.6987072.356811e-08
0.9909781.6985982.369327e-08
0.996241.6984892.381911e-08
11.6984122.390900e-08
1.001531.6983812.394561e-08
1.006851.6982722.407278e-08
1.01221.6981642.420063e-08
1.017571.6980562.432915e-08
1.022981.6979492.445836e-08
1.028411.6978412.458826e-08
1.033871.6977342.471884e-08
1.039361.6976262.485012e-08
1.044881.6975192.498210e-08
1.050431.6974122.511477e-08
1.056011.6973052.524815e-08
1.061621.6971982.538224e-08
1.067251.6970912.551704e-08
1.072921.6969852.565256e-08
1.078621.6968782.578880e-08
1.084351.6967722.592576e-08
1.090111.6966652.606345e-08
1.09591.6965582.620187e-08
1.101721.6964522.634102e-08
1.107571.6963452.648091e-08
1.113451.6962392.662155e-08
1.119361.6961322.676293e-08
1.125311.6960252.690507e-08
1.131281.6959192.704796e-08
1.137291.6958122.719160e-08
1.143331.6957052.733601e-08
1.14941.6955982.748119e-08
1.155511.6954912.762714e-08
1.161641.6953842.777386e-08
1.167811.6952762.792137e-08
1.174011.6951692.806965e-08
1.180251.6950612.821873e-08
1.186521.6949532.836859e-08
1.192821.6948452.851925e-08
1.199151.6947372.867071e-08
1.21.6947222.869100e-08
1.205521.6946283.067893e-08
1.211921.6945193.298461e-08
1.218361.694413.530254e-08
1.224831.6943013.763277e-08
1.231331.6941923.997538e-08
1.237871.6940824.233044e-08
1.244451.6939724.469800e-08
1.251051.6938614.707813e-08
1.25771.6937514.947090e-08
1.264381.693645.187638e-08
1.271091.6935285.429464e-08
1.277841.6934165.672573e-08
1.284631.6933045.916974e-08
1.291451.6931926.162673e-08
1.298311.6930796.409677e-08
1.30521.6929656.657992e-08
1.312141.6928526.907626e-08
1.31911.6927377.158586e-08
1.326111.6926237.410878e-08
1.333151.6925077.664510e-08
1.340231.6923927.919490e-08
1.347351.6922758.175823e-08
1.35451.6921598.433518e-08
1.36171.6920418.692581e-08
1.368931.6919248.953020e-08
1.37621.6918059.214842e-08
1.383511.6916869.478055e-08
1.390861.6915679.742665e-08
1.398241.6914461.000868e-07
1.41.6914181.007200e-07
1.405671.6913261.011278e-07
1.413131.6912041.016649e-07
1.420641.6910821.022048e-07
1.428181.6909591.027477e-07
1.435771.6908361.032934e-07
1.443391.6907121.038420e-07
1.451061.6905871.043935e-07
1.458761.6904611.049480e-07
1.466511.6903351.055054e-07
1.47431.6902081.060657e-07
1.482131.690081.066290e-07
1.491.6899511.071954e-07
1.497911.6898211.077647e-07
1.505871.6896911.083370e-07
1.513861.689561.089124e-07
1.52191.6894281.094909e-07
1.529981.6892951.100724e-07
1.538111.6891611.106570e-07
1.546281.6890261.112447e-07
1.554491.688891.118356e-07
1.562751.6887541.124295e-07
1.571041.6886161.130267e-07
1.579391.6884771.136270e-07
1.587781.6883381.142304e-07
1.596211.6881971.148371e-07
1.61.6881341.151100e-07
1.604681.6880551.188497e-07
1.613211.6879131.256527e-07
1.621771.6877691.324919e-07
1.630391.6876241.393674e-07
1.639041.6874781.462794e-07
1.647751.687331.532281e-07
1.65651.6871821.602137e-07
1.66531.6870331.672365e-07
1.674141.6868821.742965e-07
1.683031.686731.813940e-07
1.691971.6865771.885292e-07
1.700951.6864221.957023e-07
1.709991.6862662.029135e-07
1.719071.6861092.101629e-07
1.72821.6859512.174509e-07
1.737381.6857912.247776e-07
1.74661.685632.321432e-07
1.755881.6854682.395479e-07
1.76521.6853042.469920e-07
1.774581.6851392.544755e-07
1.7841.6849722.619988e-07
1.793481.6848042.695621e-07
1.81.6846882.747700e-07
1.8031.6846342.816424e-07
1.812581.6844633.035713e-07
1.82221.684293.256167e-07
1.831881.6841163.477791e-07
1.841611.683943.700593e-07
1.851391.6837623.924577e-07
1.861221.6835834.149751e-07
1.87111.6834024.376121e-07
1.881041.6832194.603693e-07
1.891031.6830354.832474e-07
1.901071.6828495.062470e-07
1.911171.6826615.293687e-07
1.921321.6824715.526132e-07
1.931521.682285.759811e-07
1.941781.6820875.994732e-07
1.952091.6818916.230900e-07
1.962461.6816946.468322e-07
1.972881.6814956.707005e-07
1.983361.6812946.946956e-07
1.993891.6810917.188181e-07
21.6809737.328100e-07
2.004481.6808867.710032e-07
2.015121.6806798.617680e-07
2.025831.680479.530148e-07
2.036581.6802591.044746e-06
2.04741.6800451.136965e-06
2.058271.679831.229673e-06
2.06921.6796121.322874e-06
2.080191.6793921.416569e-06
2.091241.6791691.510763e-06
2.102351.6789451.605456e-06
2.113511.6787181.700652e-06
2.124731.6784881.796354e-06
2.136021.6782561.892564e-06
2.147361.6780221.989285e-06
2.158771.6777852.086520e-06
2.170231.6775462.184271e-06
2.181761.6773042.282541e-06
2.193341.677062.381334e-06
2.21.6769192.438100e-06
2.204991.6768132.605071e-06
2.21671.6765632.996868e-06
2.228471.6763113.390745e-06
2.240311.6760563.786715e-06
2.25221.6757984.184787e-06
2.264171.6755374.584973e-06
2.276191.6752734.987284e-06
2.288281.6750075.391732e-06
2.300431.6747375.798328e-06
2.312651.6744656.207083e-06
2.324931.6741896.618009e-06
2.337281.673917.031117e-06
2.349691.6736297.446419e-06
2.362171.6733447.863927e-06
2.374711.6730558.283652e-06
2.387321.6727648.705605e-06
2.41.6724699.129800e-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
—