Optical constants

Refractive index of S-LAL13 (OHARA)

S-LAL13: 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
1.6935
Extinction coefficient k
2.12588e-08
Permittivity ε1
2.86794
Permittivity ε2
7.20035e-08
Absorption coefficient α
0.00454639 cm⁻¹
Penetration depth δ = λ/(2πk)
4.39909e+09 nm
Abbe number Vd
53.205
Chromatic dispersion dn/dλ
-0.0672071 µm⁻¹
Group index ng
1.73299
Group velocity dispersion
118.803 fs²/mm
Dispersion parameter D
-648.132 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-LAL13 (OHARA): S-LAL13
ohara_s_lal13 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal13.range_nm)  # (290, 2400) nm
eps = ohara_s_lal13.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=0.980071267λ2λ2−0.00389123698+0.832904776λ2λ2−0.0189164592+1.28111995λ2λ2−98.9052676

Valid from 0.29 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.980071267
C30.00389123698
C40.832904776
C50.0189164592
C61.28111995
C798.9052676

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 5.88e-06 1.5e-08 -4e-11 3.13e-07 5.37e-10 0.292
nd
1.693501
Vd
53.205327
glass code
694532
density
value: 3600
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.0081
resistance
acid: 52.0; climatic: 1.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.78e-06 K⁻¹ at 633 nm, dn/dT = 3.27e-06 K⁻¹ at 1310 nm, dn/dT = 3.22e-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-LAL13 (OHARA), S-LAL13: n and k versus wavelength
λ (µm)nk
0.291.7610071.062800e-05
0.291541.7599241.028045e-05
0.2930881.7588579.931051e-06
0.2946451.7578079.579798e-06
0.296211.7567729.226679e-06
0.2977831.7557538.871685e-06
0.2993641.7547498.514806e-06
0.31.7543518.371300e-06
0.3009541.753768.167107e-06
0.3025521.7527857.824983e-06
0.3041591.7518257.481042e-06
0.3057741.7508797.135275e-06
0.3073981.7499476.787672e-06
0.3090311.7490286.438222e-06
0.311.7484916.230700e-06
0.3106721.7481236.096247e-06
0.3123221.747235.765992e-06
0.313981.7463515.433984e-06
0.3156481.7454845.100213e-06
0.3173241.7446294.764669e-06
0.3190091.7437864.427343e-06
0.321.7432984.229000e-06
0.3207031.7429564.130823e-06
0.3224061.7421373.893064e-06
0.3241191.7413293.654043e-06
0.325841.7405333.413752e-06
0.327571.7397483.172185e-06
0.329311.7389742.929336e-06
0.331.7386712.833000e-06
0.3310591.738212.720379e-06
0.3328171.7374572.533366e-06
0.3345841.7367152.345360e-06
0.3363611.7359822.156355e-06
0.3381481.735261.966346e-06
0.3399431.7345471.775329e-06
0.341.7345251.769300e-06
0.3417491.7338441.647752e-06
0.3435641.7331511.521598e-06
0.3453881.7324671.394774e-06
0.3472221.7317921.267276e-06
0.3490661.7311261.139101e-06
0.351.7307941.074200e-06
0.350921.7304691.034182e-06
0.3527841.7298219.531262e-07
0.3546571.7291818.716397e-07
0.3565411.728557.897204e-07
0.3584341.7279277.073662e-07
0.361.727426.392600e-07
0.3603381.7273126.303844e-07
0.3622511.7267055.800808e-07
0.3641751.7261075.295102e-07
0.3661091.7255164.786709e-07
0.3680531.7249324.275617e-07
0.371.7243593.763900e-07
0.3700081.7243573.762601e-07
0.3719731.7237883.441444e-07
0.3739481.7232273.118582e-07
0.3759341.7226732.794005e-07
0.3779311.7221272.467704e-07
0.3799381.7215872.139670e-07
0.381.721572.129500e-07
0.3819551.7210541.973471e-07
0.3839841.7205281.811623e-07
0.3860231.7200081.648915e-07
0.3880731.7194951.485342e-07
0.391.7190211.331600e-07
0.3901341.7189891.325866e-07
0.3922061.7184891.237269e-07
0.3942891.7179951.148202e-07
0.3963831.7175071.058661e-07
0.3984881.7170259.686448e-08
0.41.7166849.039800e-08
0.4006041.716558.909101e-08
0.4027311.716088.448759e-08
0.404871.7156167.985973e-08
0.407021.7151577.520729e-08
0.4091821.7147057.053014e-08
0.4113551.7142586.582815e-08
0.413541.7138166.110120e-08
0.4157361.713385.634914e-08
0.4179441.7129495.157184e-08
0.421.7125544.712200e-08
0.4201631.7125234.702472e-08
0.4223941.7121024.569350e-08
0.4246381.7116864.435522e-08
0.4268931.7112764.300982e-08
0.429161.710874.165728e-08
0.4314391.7104694.029756e-08
0.433731.7100733.893062e-08
0.4360331.7096823.755642e-08
0.4383491.7092953.617492e-08
0.441.7090243.519000e-08
0.4406771.7089133.486922e-08
0.4430171.7085353.376039e-08
0.445371.7081623.264568e-08
0.4477351.7077933.152505e-08
0.4501131.7074293.039846e-08
0.4525031.7070692.926589e-08
0.4549061.7067132.812731e-08
0.4573221.7063612.698268e-08
0.4597511.7060132.583197e-08
0.461.7059782.571400e-08
0.4621931.7056692.499396e-08
0.4646471.7053292.418788e-08
0.4671151.7049932.337753e-08
0.4695951.7046612.256287e-08
0.4720891.7043332.174389e-08
0.4745961.7040082.092056e-08
0.4771171.7036872.009285e-08
0.4796511.703371.926075e-08
0.481.7033271.914600e-08
0.4821981.7030561.879446e-08
0.4847591.7027461.838486e-08
0.4873331.702441.797309e-08
0.4899211.7021361.755913e-08
0.4925231.7018371.714297e-08
0.4951381.701541.672460e-08
0.4977681.7012471.630401e-08
0.51.7010021.594700e-08
0.5004111.7009571.592398e-08
0.5030691.700671.577532e-08
0.5057411.7003871.562587e-08
0.5084261.7001061.547563e-08
0.5111261.6998291.532459e-08
0.5138411.6995541.517274e-08
0.516571.6992831.502009e-08
0.5193131.6990151.486663e-08
0.5220711.6987491.471235e-08
0.5248431.6984861.455726e-08
0.5276311.6982271.440134e-08
0.5304331.6979691.424459e-08
0.533251.6977151.408701e-08
0.5360821.6974641.392859e-08
0.5389291.6972151.376934e-08
0.5417911.6969681.360923e-08
0.5446681.6967251.344828e-08
0.547561.6964841.328647e-08
0.551.6962831.315000e-08
0.5504681.6962451.325100e-08
0.5533921.6960091.388145e-08
0.5563311.6957751.451525e-08
0.5592851.6955441.515241e-08
0.5622551.6953151.579295e-08
0.5652411.6950891.643690e-08
0.5682431.6948641.708427e-08
0.5712611.6946421.773508e-08
0.5742941.6944231.838934e-08
0.5773441.6942051.904708e-08
0.580411.693991.970830e-08
0.5834931.6937772.037305e-08
0.5865911.6935662.104132e-08
0.5897071.6933572.171314e-08
0.5928381.6931512.238853e-08
0.5959871.6929462.306750e-08
0.5991521.6927432.375008e-08
0.61.692692.393300e-08
0.6023341.6925432.402611e-08
0.6055321.6923442.415375e-08
0.6087481.6921472.428206e-08
0.6119811.6919522.441105e-08
0.6152311.6917592.454072e-08
0.6184981.6915682.467109e-08
0.6217831.6913792.480214e-08
0.6250851.6911912.493390e-08
0.6284051.6910062.506635e-08
0.6317421.6908222.519950e-08
0.6350971.6906392.533337e-08
0.638471.6904592.546794e-08
0.641861.690282.560323e-08
0.6452691.6901032.573924e-08
0.6486961.6899272.587597e-08
0.651.6898612.592800e-08
0.6521411.6897532.577377e-08
0.6556041.6895812.552428e-08
0.6590861.689412.527346e-08
0.6625861.689242.502130e-08
0.6661051.6890722.476781e-08
0.6696421.6889062.451297e-08
0.6731981.6887412.425678e-08
0.6767741.6885782.399923e-08
0.6803681.6884162.374031e-08
0.6839811.6882552.348002e-08
0.6876131.6880962.321834e-08
0.6912651.6879382.295527e-08
0.6949361.6877812.269081e-08
0.6986271.6876262.242494e-08
0.71.6875692.232600e-08
0.7023371.6874722.225125e-08
0.7060671.6873192.213193e-08
0.7098161.6871682.201198e-08
0.7135861.6870182.189139e-08
0.7173751.6868692.177016e-08
0.7211851.6867212.164828e-08
0.7250151.6865742.152576e-08
0.7288651.6864292.140259e-08
0.7327361.6862852.127877e-08
0.7366281.6861412.115429e-08
0.740541.6859992.102914e-08
0.7444721.6858582.090333e-08
0.7484261.6857182.077686e-08
0.7524011.6855792.064971e-08
0.7563961.6854422.052188e-08
0.7604131.6853052.039338e-08
0.7644511.6851692.026420e-08
0.7685111.6850342.013433e-08
0.7725931.68492.000376e-08
0.7766951.6847671.987251e-08
0.780821.6846351.974056e-08
0.7849671.6845041.960791e-08
0.7891361.6843741.947455e-08
0.7933261.6842441.934049e-08
0.797541.6841161.920571e-08
0.81.6840411.912700e-08
0.8017751.6839881.929701e-08
0.8060331.6838611.970483e-08
0.8103131.6837352.011482e-08
0.8146171.683612.052699e-08
0.8189431.6834862.094135e-08
0.8232921.6833622.135791e-08
0.8276641.6832392.177668e-08
0.832061.6831172.219768e-08
0.8364781.6829952.262091e-08
0.8409211.6828742.304639e-08
0.8453871.6827542.347412e-08
0.8498761.6826352.390413e-08
0.8543891.6825162.433643e-08
0.8589271.6823982.477101e-08
0.8634881.682282.520791e-08
0.8680741.6821642.564713e-08
0.8726841.6820472.608868e-08
0.8773191.6819322.653257e-08
0.8819781.6818172.697882e-08
0.8866621.6817022.742744e-08
0.891371.6815882.787845e-08
0.8961041.6814742.833185e-08
0.91.6813822.870500e-08
0.9008631.6813612.880151e-08
0.9056471.6812492.933658e-08
0.9104571.6811372.987448e-08
0.9152921.6810253.041524e-08
0.9201531.6809143.095887e-08
0.9250391.6808043.150539e-08
0.9299521.6806943.205481e-08
0.934891.6805843.260715e-08
0.9398551.6804753.316242e-08
0.9448471.6803663.372064e-08
0.9498641.6802573.428183e-08
0.9549091.6801493.484599e-08
0.959981.6800413.541315e-08
0.9650781.6799333.598333e-08
0.9702031.6798263.655653e-08
0.9753561.6797193.713277e-08
0.9805351.6796133.771208e-08
0.9857431.6795063.829446e-08
0.9909781.67943.887994e-08
0.996241.6792953.946852e-08
11.679223.988900e-08
1.001531.6791893.995007e-08
1.006851.6790844.016220e-08
1.01221.6789794.037547e-08
1.017571.6788744.058987e-08
1.022981.6787694.080541e-08
1.028411.6786654.102209e-08
1.033871.6785614.123992e-08
1.039361.6784574.145891e-08
1.044881.6783534.167906e-08
1.050431.6782494.190039e-08
1.056011.6781454.212288e-08
1.061621.6780424.234656e-08
1.067251.6779384.257143e-08
1.072921.6778354.279749e-08
1.078621.6777314.302475e-08
1.084351.6776284.325322e-08
1.090111.6775254.348290e-08
1.09591.6774224.371380e-08
1.101721.6773184.394593e-08
1.107571.6772154.417929e-08
1.113451.6771124.441389e-08
1.119361.6770094.464973e-08
1.125311.6769064.488683e-08
1.131281.6768024.512519e-08
1.137291.6766994.536481e-08
1.143331.6765964.560571e-08
1.14941.6764924.584788e-08
1.155511.6763894.609134e-08
1.161641.6762854.633610e-08
1.167811.6761814.658215e-08
1.174011.6760774.682951e-08
1.180251.6759734.707818e-08
1.186521.6758694.732818e-08
1.192821.6757654.757950e-08
1.199151.675664.783216e-08
1.21.6756464.786600e-08
1.205521.6755564.963520e-08
1.211921.6754515.168720e-08
1.218361.6753465.375010e-08
1.224831.675245.582395e-08
1.231331.6751355.790882e-08
1.237871.6750296.000476e-08
1.244451.6749236.211182e-08
1.251051.6748166.423008e-08
1.25771.6747096.635959e-08
1.264381.6746026.850041e-08
1.271091.6744957.065259e-08
1.277841.6743877.281621e-08
1.284631.6742797.499131e-08
1.291451.6741717.717797e-08
1.298311.6740627.937624e-08
1.30521.6739538.158618e-08
1.312141.6738448.380786e-08
1.31911.6737348.604134e-08
1.326111.6736238.828668e-08
1.333151.6735139.054395e-08
1.340231.6734019.281320e-08
1.347351.673299.509450e-08
1.35451.6731779.738792e-08
1.36171.6730659.969352e-08
1.368931.6729511.020114e-07
1.37621.6728381.043415e-07
1.383511.6727231.066840e-07
1.390861.6726091.090390e-07
1.398241.6724931.114065e-07
1.41.6724661.119700e-07
1.405671.6723771.124231e-07
1.413131.6722611.130199e-07
1.420641.6721431.136199e-07
1.428181.6720261.142231e-07
1.435771.6719071.148295e-07
1.443391.6717881.154391e-07
1.451061.6716681.160520e-07
1.458761.6715481.166681e-07
1.466511.6714271.172874e-07
1.47431.6713051.179101e-07
1.482131.6711821.185361e-07
1.491.6710591.191653e-07
1.497911.6709351.197980e-07
1.505871.670811.204340e-07
1.513861.6706841.210733e-07
1.52191.6705581.217161e-07
1.529981.670431.223623e-07
1.538111.6703021.230119e-07
1.546281.6701731.236650e-07
1.554491.6700431.243215e-07
1.562751.6699121.249815e-07
1.571041.6697811.256450e-07
1.579391.6696481.263121e-07
1.587781.6695151.269827e-07
1.596211.669381.276568e-07
1.61.669321.279600e-07
1.604681.6692451.313987e-07
1.613211.6691081.376542e-07
1.621771.6689711.439429e-07
1.630391.6688321.502651e-07
1.639041.6686931.566208e-07
1.647751.6685521.630102e-07
1.65651.668411.694336e-07
1.66531.6682671.758911e-07
1.674141.6681231.823829e-07
1.683031.6679781.889092e-07
1.691971.6678321.954702e-07
1.700951.6676852.020659e-07
1.709991.6675362.086967e-07
1.719071.6673862.153628e-07
1.72821.6672352.220642e-07
1.737381.6670832.288012e-07
1.74661.6669292.355740e-07
1.755881.6667742.423827e-07
1.76521.6666182.492276e-07
1.774581.666462.561089e-07
1.7841.6663012.630267e-07
1.793481.6661412.699812e-07
1.81.666032.747700e-07
1.8031.6659792.808934e-07
1.812581.6658163.004324e-07
1.82221.6656513.200751e-07
1.831881.6654853.398221e-07
1.841611.6653183.596741e-07
1.851391.6651493.796314e-07
1.861221.6649783.996947e-07
1.87111.6648064.198646e-07
1.881041.6646324.401416e-07
1.891031.6644574.605263e-07
1.901071.6642794.810192e-07
1.911171.6641015.016210e-07
1.921321.663925.223321e-07
1.931521.6637385.431533e-07
1.941781.6635545.640850e-07
1.952091.6633695.851279e-07
1.962461.6631816.062826e-07
1.972881.6629926.275496e-07
1.983361.6628016.489295e-07
1.993891.6626086.704230e-07
21.6624966.828900e-07
2.004481.6624137.177196e-07
2.015121.6622168.004910e-07
2.025831.6620188.837020e-07
2.036581.6618179.673549e-07
2.04741.6616141.051452e-06
2.058271.661411.135996e-06
2.06921.6612031.220989e-06
2.080191.6609941.306433e-06
2.091241.6607831.392331e-06
2.102351.660571.478685e-06
2.113511.6603541.565497e-06
2.124731.6601361.652771e-06
2.136021.6599171.740508e-06
2.147361.6596941.828711e-06
2.158771.659471.917383e-06
2.170231.6592432.006525e-06
2.181761.6590142.096141e-06
2.193341.6587822.186233e-06
2.21.6586482.238000e-06
2.204991.6585482.380171e-06
2.21671.6583112.713775e-06
2.228471.6580723.049151e-06
2.240311.657833.386309e-06
2.25221.6575863.725256e-06
2.264171.6573394.066004e-06
2.276191.6570894.408561e-06
2.288281.6568374.752937e-06
2.300431.6565825.099143e-06
2.312651.6563245.447186e-06
2.324931.6560635.797079e-06
2.337281.6557996.148829e-06
2.349691.6555336.502447e-06
2.362171.6552636.857943e-06
2.374711.6549917.215328e-06
2.387321.6547157.574610e-06
2.41.6544367.935800e-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
—