Optical constants

Refractive index of S-LAL10 (OHARA)

S-LAL10: n,k 0.31–2.4 µm

Data
formula 2 + tabulated k
Range
0.31–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.31–2.4 µm
Refractive index n
1.71999
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.95837
Permittivity ε2
4.45839e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
50.231
Chromatic dispersion dn/dλ
-0.0737319 µm⁻¹
Group index ng
1.76332
Group velocity dispersion
132.553 fs²/mm
Dispersion parameter D
-723.146 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-LAL10 (OHARA): S-LAL10
ohara_s_lal10 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal10.range_nm)  # (310, 2400) nm
eps = ohara_s_lal10.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=1.52812575λ2λ2−0.00776817644+0.367965267λ2λ2−0.0272026548+1.11751784λ2λ2−88.86974

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.52812575
C30.00776817644
C40.367965267
C50.0272026548
C61.11751784
C788.86974

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 4.83e-06 1.07e-08 -3.51e-11 5.85e-07 6.98e-10 0.196
nd
1.719995
Vd
50.230564
glass code
720502
density
value: 3860
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
-0.0081
resistance
acid: 52.2; climatic: 2.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.66e-06 K⁻¹ at 633 nm, dn/dT = 2.88e-06 K⁻¹ at 1310 nm, dn/dT = 2.81e-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 427 wavelengths, the same grid as the API and the library
S-LAL10 (OHARA), S-LAL10: n and k versus wavelength
λ (µm)nk
0.311.7817276.560100e-06
0.3115941.7807276.128960e-06
0.3131971.7797425.695603e-06
0.3148071.7787715.260018e-06
0.3164261.7778144.822192e-06
0.3180531.7768724.382115e-06
0.3196891.7759433.939775e-06
0.321.7757693.855700e-06
0.3213331.7750283.662458e-06
0.3229861.7741263.422929e-06
0.3246471.7732373.182167e-06
0.3263161.772362.940168e-06
0.3279941.7714972.696924e-06
0.3296811.7706452.452429e-06
0.331.7704862.406200e-06
0.3313761.7698052.277855e-06
0.3330811.7689782.118961e-06
0.3347941.7681611.959249e-06
0.3365151.7673561.798716e-06
0.3382461.7665631.637357e-06
0.3399851.765781.475168e-06
0.341.7657731.473800e-06
0.3417341.7650081.376910e-06
0.3434911.7642471.278697e-06
0.3452581.7634961.179979e-06
0.3470331.7627551.080753e-06
0.3488181.7620249.810174e-07
0.351.7615479.149500e-07
0.3506121.7613038.916368e-07
0.3524151.7605928.229111e-07
0.3542271.759897.538320e-07
0.3560491.7591986.843977e-07
0.357881.7585156.146062e-07
0.359721.7578415.444559e-07
0.361.7577395.337900e-07
0.361571.7571755.038533e-07
0.363431.7565194.683997e-07
0.3652981.7558714.327638e-07
0.3671771.7552323.969446e-07
0.3690651.7546013.609412e-07
0.371.7542923.431200e-07
0.3709631.7539783.290220e-07
0.3728711.7533633.011024e-07
0.3747891.7527562.730393e-07
0.3767161.7521572.448318e-07
0.3786531.7515652.164792e-07
0.381.751161.967700e-07
0.3806011.7509811.927559e-07
0.3825581.7504051.796734e-07
0.3845251.7498351.665236e-07
0.3865031.7492731.533062e-07
0.388491.7487181.400208e-07
0.391.7483031.299300e-07
0.3904881.748171.280002e-07
0.3924961.7476291.200616e-07
0.3945151.7470951.120822e-07
0.3965441.7465671.040618e-07
0.3985831.7460469.600010e-08
0.41.7456899.039800e-08
0.4006331.7455318.935123e-08
0.4026931.7450228.594236e-08
0.4047641.744528.251595e-08
0.4068451.7440247.907192e-08
0.4089381.7435347.561017e-08
0.4110411.743057.213063e-08
0.4131551.7425726.863319e-08
0.4152791.7420996.511777e-08
0.4174151.7416326.158426e-08
0.4195611.7411715.803259e-08
0.421.7410785.730700e-08
0.4217191.7407165.601457e-08
0.4238881.7402665.438411e-08
0.4260681.7398215.274526e-08
0.4282591.7393815.109799e-08
0.4304611.7389474.944224e-08
0.4326751.7385184.777798e-08
0.43491.7380944.610516e-08
0.4371371.7376754.442373e-08
0.4393851.7372614.273366e-08
0.441.7371494.227100e-08
0.4416441.7368514.151657e-08
0.4439151.7364474.047442e-08
0.4461981.7360473.942691e-08
0.4484931.7356523.837402e-08
0.4507991.7352613.731571e-08
0.4531181.7348753.625196e-08
0.4554481.7344943.518274e-08
0.457791.7341163.410803e-08
0.461.7337663.309400e-08
0.4601441.7337433.302107e-08
0.4625111.7333753.182523e-08
0.4648891.733013.062325e-08
0.467281.732652.941508e-08
0.4696831.7322942.820070e-08
0.4720981.7319412.698007e-08
0.4745261.7315932.575317e-08
0.4769671.7312492.451996e-08
0.4794191.7309082.328040e-08
0.481.7308282.298700e-08
0.4818851.7305722.232352e-08
0.4843631.7302392.145121e-08
0.4868541.7299092.057441e-08
0.4893581.7295841.969311e-08
0.4918741.7292621.880727e-08
0.4944041.7289431.791688e-08
0.4969461.7286281.702190e-08
0.4995021.7283171.612233e-08
0.51.7282571.594700e-08
0.5020711.7280091.564946e-08
0.5046531.7277041.527845e-08
0.5072481.7274031.490552e-08
0.5098561.7271041.453069e-08
0.5124781.726811.415392e-08
0.5151141.7265181.377522e-08
0.5177631.7262291.339456e-08
0.5204261.7259441.301196e-08
0.5231021.7256611.262738e-08
0.5257921.7253821.224083e-08
0.5284961.7251051.185228e-08
0.5312141.7248321.146174e-08
0.5339461.7245611.106919e-08
0.5366921.7242931.067463e-08
0.5394521.7240281.027803e-08
0.5422261.7237669.879394e-09
0.5450141.7235079.478708e-09
0.5478171.723259.075962e-09
0.551.7230538.762300e-09
0.5506341.7229968.833131e-09
0.5534661.7227449.149302e-09
0.5563121.7224959.467100e-09
0.5591731.7222499.786532e-09
0.5620491.7220051.010761e-08
0.5649391.7217641.043033e-08
0.5678451.7215251.075472e-08
0.5707651.7212881.108077e-08
0.57371.7210541.140850e-08
0.576651.7208231.173792e-08
0.5796161.7205931.206903e-08
0.5825971.7203661.240184e-08
0.5855931.7201411.273636e-08
0.5886041.7199191.307261e-08
0.5916311.7196981.341058e-08
0.5946741.719481.375030e-08
0.5977321.7192641.409175e-08
0.61.7191061.434500e-08
0.6008061.719051.428070e-08
0.6038961.7188381.403414e-08
0.6070011.7186281.378631e-08
0.6101231.718421.353721e-08
0.613261.7182151.328683e-08
0.6164141.7180111.303515e-08
0.6195841.7178091.278219e-08
0.622771.7176091.252792e-08
0.6259731.7174111.227235e-08
0.6291921.7172151.201546e-08
0.6324281.717021.175725e-08
0.635681.7168281.149771e-08
0.6389491.7166371.123684e-08
0.6422351.7164481.097463e-08
0.6455381.7162611.071107e-08
0.6488581.7160751.044615e-08
0.651.7160121.035500e-08
0.6521951.7158911.038998e-08
0.6555491.7157091.044344e-08
0.658921.7155291.049718e-08
0.6623081.715351.055120e-08
0.6657141.7151731.060549e-08
0.6691381.7149971.066006e-08
0.6725791.7148231.071491e-08
0.6760381.714651.077004e-08
0.6795151.7144791.082546e-08
0.6830091.7143091.088116e-08
0.6865211.7141411.093715e-08
0.6900521.7139751.099343e-08
0.6936011.7138091.104999e-08
0.6971681.7136451.110685e-08
0.71.7135171.115200e-08
0.7007531.7134831.116399e-08
0.7043571.7133221.122140e-08
0.7079791.7131621.127910e-08
0.711621.7130041.133710e-08
0.7152791.7128461.139540e-08
0.7189581.7126911.145400e-08
0.7226551.7125361.151290e-08
0.7263711.7123831.157210e-08
0.7301071.7122311.163160e-08
0.7338621.712081.169141e-08
0.7376361.711931.175153e-08
0.7414291.7117821.181196e-08
0.7452421.7116341.187270e-08
0.7490741.7114881.193375e-08
0.7529271.7113431.199512e-08
0.7567991.7111991.205680e-08
0.760691.7110561.211880e-08
0.7646021.7109141.218112e-08
0.7685351.7107731.224375e-08
0.7724871.7106331.230671e-08
0.7764591.7104951.237000e-08
0.7804521.7103571.243361e-08
0.7844661.710221.249754e-08
0.78851.7100841.256181e-08
0.7925551.709951.262640e-08
0.7966311.7098161.269133e-08
0.81.7097061.274500e-08
0.8007281.7096831.275659e-08
0.8048461.7095511.282219e-08
0.8089851.7094191.288813e-08
0.8131451.7092891.295440e-08
0.8173271.709161.302101e-08
0.821531.7090311.308797e-08
0.8257551.7089031.315527e-08
0.8300011.7087761.322292e-08
0.834271.708651.329092e-08
0.838561.7085241.335926e-08
0.8428721.70841.342796e-08
0.8472071.7082761.349701e-08
0.8515641.7081531.356641e-08
0.8559431.708031.363617e-08
0.8603451.7079091.370630e-08
0.8647691.7077871.377678e-08
0.8692171.7076671.384762e-08
0.8736871.7075471.391883e-08
0.878181.7074281.399040e-08
0.8826961.707311.406234e-08
0.8872351.7071921.413466e-08
0.8917981.7070751.420734e-08
0.8963841.7069581.428040e-08
0.91.7068671.433800e-08
0.9009941.7068421.435383e-08
0.9056271.7067271.442764e-08
0.9102851.7066121.450184e-08
0.9149661.7064981.457641e-08
0.9196711.7063841.465136e-08
0.9244011.7062711.472671e-08
0.9291551.7061581.480243e-08
0.9339331.7060461.487855e-08
0.9387361.7059341.495506e-08
0.9435631.7058221.503197e-08
0.9484161.7057111.510926e-08
0.9532931.7056011.518696e-08
0.9581961.7054911.526506e-08
0.9631231.7053811.534355e-08
0.9680761.7052721.542245e-08
0.9730551.7051631.550176e-08
0.9780591.7050551.558148e-08
0.9830891.7049471.566160e-08
0.9881441.7048391.574214e-08
0.9932261.7047321.582309e-08
0.9983341.7046251.590446e-08
11.704591.593100e-08
1.003471.7045181.598626e-08
1.008631.7044111.606849e-08
1.013821.7043051.615115e-08
1.019031.7041991.623423e-08
1.024271.7040941.631773e-08
1.029541.7039881.640167e-08
1.034831.7038831.648604e-08
1.040151.7037781.657084e-08
1.04551.7036731.665608e-08
1.050881.7035691.674175e-08
1.056281.7034651.682787e-08
1.061721.7033611.691443e-08
1.067181.7032571.700144e-08
1.072661.7031531.708889e-08
1.078181.7030491.717679e-08
1.083721.7029461.726515e-08
1.08931.7028421.735396e-08
1.09491.7027391.744322e-08
1.100531.7026361.753295e-08
1.106191.7025331.762313e-08
1.111881.702431.771378e-08
1.11761.7023271.780490e-08
1.123341.7022241.789648e-08
1.129121.7021211.798854e-08
1.134931.7020181.808107e-08
1.140761.7019161.817407e-08
1.146631.7018131.826755e-08
1.152531.701711.836152e-08
1.158451.7016071.845597e-08
1.164411.7015041.855090e-08
1.17041.7014011.864632e-08
1.176421.7012981.874223e-08
1.182471.7011951.883864e-08
1.188551.7010921.893554e-08
1.194661.7009891.903294e-08
1.21.7008991.911800e-08
1.200811.7008861.917582e-08
1.206981.7007821.961905e-08
1.213191.7006792.006456e-08
1.219431.7005752.051236e-08
1.22571.7004712.096247e-08
1.2321.7003672.141489e-08
1.238341.7002632.186963e-08
1.244711.7001592.232672e-08
1.251111.7000542.278616e-08
1.257541.699952.324795e-08
1.264011.6998452.371213e-08
1.270511.6997392.417869e-08
1.277041.6996342.464765e-08
1.283611.6995282.511902e-08
1.290211.6994222.559282e-08
1.296841.6993162.606905e-08
1.303511.699212.654773e-08
1.310221.6991032.702887e-08
1.316961.6989962.751249e-08
1.323731.6988882.799860e-08
1.330541.698782.848720e-08
1.337381.6986722.897832e-08
1.344261.6985642.947196e-08
1.351171.6984552.996814e-08
1.358121.6983453.046688e-08
1.36511.6982353.096817e-08
1.372121.6981253.147205e-08
1.379181.6980153.197852e-08
1.386271.6979043.248759e-08
1.39341.6977923.299928e-08
1.41.6976893.347300e-08
1.400571.697683.352266e-08
1.407771.6975683.415501e-08
1.415011.6974553.479062e-08
1.422281.6973413.542949e-08
1.42961.6972273.607164e-08
1.436951.6971133.671711e-08
1.444341.6969983.736588e-08
1.451771.6968823.801800e-08
1.459231.6967663.867347e-08
1.466741.6966493.933231e-08
1.474281.6965323.999454e-08
1.481861.6964134.066017e-08
1.489481.6962954.132923e-08
1.497141.6961754.200173e-08
1.504841.6960554.267768e-08
1.512581.6959354.335712e-08
1.520361.6958134.404004e-08
1.528181.6956914.472648e-08
1.536041.6955684.541645e-08
1.543941.6954454.610997e-08
1.551881.6953214.680705e-08
1.559861.6951964.750772e-08
1.567881.695074.821199e-08
1.575941.6949434.891988e-08
1.584051.6948164.963142e-08
1.592191.6946875.034661e-08
1.61.6945645.103200e-08
1.600381.6945585.120920e-08
1.608611.6944285.503327e-08
1.616881.6942975.887700e-08
1.62521.6941666.274050e-08
1.633561.6940336.662387e-08
1.641961.6938997.052720e-08
1.65041.6937657.445062e-08
1.658891.6936297.839420e-08
1.667421.6934938.235807e-08
1.6761.6933558.634233e-08
1.684611.6932179.034707e-08
1.693281.6930779.437241e-08
1.701991.6929379.841845e-08
1.710741.6927951.024853e-07
1.719541.6926521.065731e-07
1.728381.6925091.106818e-07
1.737271.6923641.148118e-07
1.74621.6922181.189629e-07
1.755181.692071.231354e-07
1.764211.6919221.273294e-07
1.773281.6917731.315449e-07
1.78241.6916221.357821e-07
1.791571.691471.400411e-07
1.81.6913291.439600e-07
1.800781.6913161.452236e-07
1.810041.6911621.602450e-07
1.819351.6910061.753437e-07
1.82871.6908491.905200e-07
1.838111.6906912.057743e-07
1.847561.6905312.211071e-07
1.857061.690372.365187e-07
1.866611.6902072.520096e-07
1.876211.6900432.675801e-07
1.885861.6898782.832307e-07
1.895561.6897112.989618e-07
1.905311.6895423.147739e-07
1.915111.6893723.306672e-07
1.924951.6892013.466422e-07
1.934851.6890283.626994e-07
1.94481.6888543.788392e-07
1.954811.6886773.950620e-07
1.964861.68854.113682e-07
1.974961.688324.277583e-07
1.985121.6881394.442327e-07
1.995331.6879574.607917e-07
21.6878734.683700e-07
2.005591.6877724.950118e-07
2.01591.6875865.441750e-07
2.026271.6873985.935911e-07
2.036691.6872086.432613e-07
2.047161.6870176.931870e-07
2.057691.6868237.433694e-07
2.068271.6866287.938098e-07
2.078911.6864318.445097e-07
2.08961.6862328.954703e-07
2.100351.6860319.466930e-07
2.111151.6858289.981790e-07
2.122011.6856221.049930e-06
2.132921.6854151.101947e-06
2.143891.6852061.154231e-06
2.154911.6849951.206785e-06
2.165991.6847811.259608e-06
2.177131.6845661.312704e-06
2.188331.6843481.366072e-06
2.199581.6841281.419715e-06
2.21.684121.421700e-06
2.21091.6839061.700584e-06
2.222261.6836811.991617e-06
2.233691.6834542.284147e-06
2.245181.6832252.578181e-06
2.256731.6829942.873728e-06
2.268331.682763.170794e-06
2.281.6825233.469388e-06
2.291721.6822843.769517e-06
2.303511.6820434.071190e-06
2.315351.6817984.374415e-06
2.327261.6815524.679199e-06
2.339231.6813024.985550e-06
2.351261.681055.293476e-06
2.363351.6807965.602987e-06
2.37551.6805385.914088e-06
2.387721.6802786.226790e-06
2.41.6800156.541100e-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
—