Optical constants

Refractive index of L-LAL13 (OHARA)

L-LAL13: 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
1.6935
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.86793
Permittivity ε2
4.38971e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
53.186
Chromatic dispersion dn/dλ
-0.0671935 µm⁻¹
Group index ng
1.73298
Group velocity dispersion
119.456 fs²/mm
Dispersion parameter D
-651.698 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

# L-LAL13 (OHARA): L-LAL13
ohara_l_lal13 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAL13", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lal13.range_nm)  # (280, 2400) nm
eps = ohara_l_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=1.17776146λ2λ2−0.00557618243+0.634591345λ2λ2−0.0206821469+1.20435649λ2λ2−99.6322776

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.17776146
C30.00557618243
C40.634591345
C50.0206821469
C61.20435649
C799.6322776

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.27e-06 9.45e-09 -3.49e-11 5.82e-07 6.14e-10 0.192
nd
1.693500
Vd
53.185799
glass code
694532
density
value: 3690
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
-0.0072
resistance
acid: 53.2; climatic: 2.0; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.58e-06 K⁻¹ at 633 nm, dn/dT = 8.70e-07 K⁻¹ at 1310 nm, dn/dT = 8.13e-07 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
L-LAL13 (OHARA), L-LAL13: n and k versus wavelength
λ (µm)nk
0.281.7688931.026100e-05
0.2815121.7676649.691316e-06
0.2830321.7664559.118556e-06
0.284561.7652658.542704e-06
0.2860961.7640957.963743e-06
0.2876411.7629427.381656e-06
0.2891941.7618086.796426e-06
0.291.7612296.492600e-06
0.2907551.7606926.344323e-06
0.2923251.7595936.036075e-06
0.2939031.7585115.726164e-06
0.295491.7574465.414579e-06
0.2970851.7563975.101312e-06
0.2986891.7553644.786353e-06
0.31.7545364.529000e-06
0.3003021.7543474.487058e-06
0.3019231.7533454.261901e-06
0.3035531.7523584.035528e-06
0.3051921.7513873.807933e-06
0.306841.7504293.579109e-06
0.3084971.7494863.349050e-06
0.311.7486473.140300e-06
0.3101621.7485573.122325e-06
0.3118371.7476422.936965e-06
0.3135211.746742.750604e-06
0.3152131.7458512.563237e-06
0.3169151.7449752.374858e-06
0.3186261.7441122.185462e-06
0.321.7434312.033400e-06
0.3203471.7432612.007920e-06
0.3220761.7424231.880745e-06
0.3238151.7415961.752883e-06
0.3255631.7407821.624330e-06
0.3273211.7399791.495084e-06
0.3290881.7391871.365139e-06
0.331.7387851.298100e-06
0.3308651.7384071.256282e-06
0.3326511.7376371.169926e-06
0.3344471.7368791.083103e-06
0.3362531.7361319.958116e-07
0.3380691.7353939.080489e-07
0.3398941.7346658.198124e-07
0.341.7346248.146800e-07
0.3417291.7339487.577857e-07
0.3435741.7332416.970717e-07
0.3454291.7325436.360298e-07
0.3472941.7318555.746584e-07
0.3491691.7311765.129557e-07
0.351.7308794.856100e-07
0.3510541.7305064.619055e-07
0.352951.7298464.192863e-07
0.3548551.7291943.764370e-07
0.3567711.7285513.333564e-07
0.3586971.7279172.900431e-07
0.361.7274952.607500e-07
0.3606341.7272912.539913e-07
0.3625811.7266742.332315e-07
0.3645391.7260652.123595e-07
0.3665071.7254631.913749e-07
0.3684861.724871.702770e-07
0.371.7244241.541300e-07
0.3704751.7242851.513318e-07
0.3724751.7237071.395497e-07
0.3744861.7231371.277040e-07
0.3765081.7225741.157944e-07
0.3785411.7220191.038204e-07
0.381.7216279.522600e-08
0.3805851.7214719.350938e-08
0.382641.720938.747689e-08
0.3847051.7203968.141183e-08
0.3867821.7198687.531402e-08
0.3888711.7193486.918329e-08
0.391.719076.586800e-08
0.390971.7188346.445848e-08
0.3930811.7183276.139201e-08
0.3952031.7178265.830898e-08
0.3973371.7173325.520931e-08
0.3994821.7168435.209290e-08
0.41.7167275.134100e-08
0.4016391.7163615.016296e-08
0.4038081.7158854.860458e-08
0.4059881.7154154.703779e-08
0.408181.7149514.546254e-08
0.4103841.7144934.387879e-08
0.4125991.714044.228648e-08
0.4148271.7135934.068558e-08
0.4170671.7131523.907603e-08
0.4193181.7127153.745779e-08
0.421.7125853.696800e-08
0.4215821.7122853.654764e-08
0.4238591.7118593.594298e-08
0.4261471.7114393.533506e-08
0.4284481.7110243.472385e-08
0.4307611.7106143.410934e-08
0.4330871.7102093.349152e-08
0.4354251.7098093.287036e-08
0.4377761.7094143.224584e-08
0.441.7090463.165500e-08
0.4401391.7090233.161358e-08
0.4425161.7086373.090769e-08
0.4449051.7082563.019798e-08
0.4473071.7078792.948445e-08
0.4497221.7075072.876706e-08
0.452151.7071392.804580e-08
0.4545911.7067762.732064e-08
0.4570461.7064172.659157e-08
0.4595131.7060622.585856e-08
0.461.7059932.571400e-08
0.4619941.7057122.505908e-08
0.4644891.7053652.423994e-08
0.4669961.7050222.341637e-08
0.4695181.7046842.258836e-08
0.4720531.7043492.175588e-08
0.4746011.7040192.091891e-08
0.4771641.7036922.007741e-08
0.479741.7033691.923138e-08
0.481.7033371.914600e-08
0.482331.7030491.830819e-08
0.4849341.7027341.737187e-08
0.4875531.7024221.643050e-08
0.4901851.7021131.548404e-08
0.4928311.7018081.453248e-08
0.4954921.7015071.357578e-08
0.4981671.7012091.261391e-08
0.51.7010071.195500e-08
0.5008571.7009141.190027e-08
0.5035611.7006231.172760e-08
0.506281.7003341.155400e-08
0.5090131.7000491.137946e-08
0.5117621.6997681.120397e-08
0.5145251.6994891.102754e-08
0.5173031.6992141.085016e-08
0.5200961.6989411.067182e-08
0.5229041.6986721.049251e-08
0.5257271.6984051.031224e-08
0.5285651.6981421.013100e-08
0.5314191.6978819.948773e-09
0.5342881.6976239.765565e-09
0.5371731.6973689.581368e-09
0.5400731.6971169.396176e-09
0.5429891.6968669.209985e-09
0.5459211.696629.022788e-09
0.5488681.6963758.834581e-09
0.551.6962838.762300e-09
0.5518311.6961348.966784e-09
0.5548111.6958959.299443e-09
0.5578061.6956589.633898e-09
0.5608181.6954249.970160e-09
0.5638461.6951931.030824e-08
0.566891.6949641.064814e-08
0.5699511.6947371.098988e-08
0.5730281.6945131.133346e-08
0.5761221.6942911.167889e-08
0.5792321.6940711.202620e-08
0.582361.6938541.237537e-08
0.5855041.6936391.272644e-08
0.5886651.6934261.307939e-08
0.5918431.6932151.343426e-08
0.5950391.6930061.379104e-08
0.5982511.69281.414974e-08
0.61.6926891.434500e-08
0.6014811.6925951.438043e-08
0.6047291.6923931.445811e-08
0.6079941.6921931.453621e-08
0.6112761.6919941.461473e-08
0.6145771.6917981.469367e-08
0.6178951.6916031.477304e-08
0.6212311.6914111.485284e-08
0.6245851.691221.493307e-08
0.6279571.6910311.501373e-08
0.6313471.6908441.509483e-08
0.6347561.6906591.517637e-08
0.6381831.6904761.525834e-08
0.6416291.6902941.534076e-08
0.6450931.6901141.542362e-08
0.6485761.6899361.550693e-08
0.651.6898641.554100e-08
0.6520781.6897591.535863e-08
0.6555981.6895841.504959e-08
0.6591381.6894111.473888e-08
0.6626971.6892391.442650e-08
0.6662741.6890691.411243e-08
0.6698721.6889011.379666e-08
0.6734881.6887341.347918e-08
0.6771251.6885681.316000e-08
0.680781.6884041.283909e-08
0.6844561.6882421.251645e-08
0.6881521.6880811.219206e-08
0.6918671.6879211.186593e-08
0.6956021.6877631.153803e-08
0.6993581.6876061.120836e-08
0.71.6875791.115200e-08
0.7031341.687451.100212e-08
0.706931.6872961.082056e-08
0.7107471.6871431.063802e-08
0.7145841.6869911.045450e-08
0.7184421.6868411.026998e-08
0.7223211.6866921.008447e-08
0.7262211.6865449.897950e-09
0.7301421.6863979.710429e-09
0.7340841.6862529.521894e-09
0.7380471.6861089.332342e-09
0.7420321.6859659.141766e-09
0.7460391.6858238.950162e-09
0.7500661.6856828.757523e-09
0.7541161.6855428.563844e-09
0.7581881.6854038.369119e-09
0.7622811.6852668.173343e-09
0.7663971.6851297.976510e-09
0.7705351.6849937.778614e-09
0.7746951.6848597.579650e-09
0.7788771.6847257.379611e-09
0.7830831.6845937.178493e-09
0.787311.6844616.976288e-09
0.7915611.684336.772992e-09
0.7958351.6842016.568598e-09
0.81.6840766.369400e-09
0.8001321.6840726.370449e-09
0.8044521.6839446.404844e-09
0.8087951.6838166.439426e-09
0.8131621.683696.474193e-09
0.8175521.6835656.509149e-09
0.8219661.683446.544294e-09
0.8264041.6833166.579628e-09
0.8308661.6831936.615153e-09
0.8353521.6830716.650870e-09
0.8398621.682956.686779e-09
0.8443961.6828296.722883e-09
0.8489551.6827096.759181e-09
0.8535391.6825896.795675e-09
0.8581471.6824716.832367e-09
0.862781.6823536.869256e-09
0.8674381.6822366.906345e-09
0.8721221.6821196.943634e-09
0.876831.6820036.981124e-09
0.8815651.6818887.018817e-09
0.8863241.6817737.056713e-09
0.8911091.6816597.094814e-09
0.8959211.6815457.133120e-09
0.91.681457.165600e-09
0.9007581.6814327.171633e-09
0.9056211.681327.210349e-09
0.9105111.6812087.249274e-09
0.9154261.6810967.288410e-09
0.9203691.6809857.327757e-09
0.9253381.6808757.367316e-09
0.9303341.6807657.407089e-09
0.9353571.6806557.447077e-09
0.9404071.6805467.487280e-09
0.9454841.6804387.527701e-09
0.9505891.680337.568340e-09
0.9557211.6802227.609198e-09
0.9608811.6801147.650277e-09
0.9660691.6800077.691577e-09
0.9712851.6799017.733101e-09
0.9765291.6797957.774849e-09
0.9818011.6796897.816822e-09
0.9871021.6795837.859022e-09
0.9924321.6794787.901449e-09
0.997791.6793737.944106e-09
11.679337.961700e-09
1.003181.6792687.986996e-09
1.008591.6791648.030120e-09
1.014041.679068.073477e-09
1.019511.6789568.117068e-09
1.025021.6788528.160894e-09
1.030551.6787488.204957e-09
1.036121.6786458.249258e-09
1.041711.6785428.293797e-09
1.047331.6784398.338578e-09
1.052991.6783378.383600e-09
1.058671.6782348.428865e-09
1.064391.6781328.474375e-09
1.070141.678038.520130e-09
1.075911.6779278.566133e-09
1.081721.6778258.612384e-09
1.087561.6777238.658884e-09
1.093441.6776228.705636e-09
1.099341.677528.752640e-09
1.105271.6774188.799897e-09
1.111241.6773168.847410e-09
1.117241.6772158.895180e-09
1.123271.6771138.943207e-09
1.129341.6770128.991493e-09
1.135441.676919.040041e-09
1.141571.6768089.088850e-09
1.147731.6767079.137923e-09
1.153931.6766059.187261e-09
1.160161.6765039.236865e-09
1.166421.6764019.286737e-09
1.172721.6762999.336879e-09
1.179051.6761979.387291e-09
1.185421.6760959.437975e-09
1.191821.6759939.488933e-09
1.198251.6758919.540166e-09
1.21.6758639.554100e-09
1.204721.6757881.038233e-08
1.211221.6756851.152381e-08
1.217761.6755831.267145e-08
1.224341.675481.382529e-08
1.230951.6753761.498536e-08
1.237591.6752731.615169e-08
1.244281.6751691.732432e-08
1.250991.6750651.850328e-08
1.257751.6749611.968861e-08
1.264541.6748572.088033e-08
1.271371.6747522.207849e-08
1.278231.6746472.328312e-08
1.285131.6745422.449425e-08
1.292071.6744362.571192e-08
1.299051.674332.693617e-08
1.306061.6742242.816703e-08
1.313111.6741172.940453e-08
1.32021.674013.064871e-08
1.327331.6739033.189961e-08
1.33451.6737953.315726e-08
1.34171.6736873.442171e-08
1.348941.6735783.569298e-08
1.356231.6734693.697111e-08
1.363551.6733593.825615e-08
1.370911.6732493.954812e-08
1.378311.6731394.084707e-08
1.385751.6730284.215303e-08
1.393241.6729174.346604e-08
1.41.6728164.465300e-08
1.400761.6728054.472571e-08
1.408321.6726924.545057e-08
1.415931.6725794.617934e-08
1.423571.6724654.691204e-08
1.431261.6723514.764870e-08
1.438981.6722364.838934e-08
1.446751.6721214.913398e-08
1.454561.6720054.988263e-08
1.462421.6718885.063533e-08
1.470311.6717715.139210e-08
1.478251.6716525.215294e-08
1.486231.6715345.291790e-08
1.494261.6714145.368699e-08
1.502321.6712945.446023e-08
1.510431.6711735.523764e-08
1.518591.6710525.601925e-08
1.526791.6709295.680508e-08
1.535031.6708065.759515e-08
1.543321.6706825.838949e-08
1.551651.6705575.918812e-08
1.560031.6704325.999106e-08
1.568451.6703056.079833e-08
1.576921.6701786.160997e-08
1.585431.6700496.242598e-08
1.593991.669926.324640e-08
1.61.669836.382200e-08
1.60261.669796.524073e-08
1.611251.6696596.996104e-08
1.619951.6695277.470684e-08
1.62871.6693947.947826e-08
1.637491.6692618.427545e-08
1.646331.6691268.909853e-08
1.655221.668999.394765e-08
1.664161.6688539.882296e-08
1.673141.6687151.037246e-07
1.682181.6685761.086527e-07
1.691261.6684361.136074e-07
1.700391.6682941.185888e-07
1.709571.6681521.235972e-07
1.71881.6680081.286326e-07
1.728081.6678631.336951e-07
1.737411.6677171.387850e-07
1.746791.667571.439024e-07
1.756221.6674221.490474e-07
1.76571.6672721.542202e-07
1.775241.6671211.594209e-07
1.784821.6669691.646497e-07
1.794461.6668151.699068e-07
1.81.6667271.729300e-07
1.804151.6666611.797359e-07
1.813891.6665041.957234e-07
1.823681.6663472.117971e-07
1.833531.6661882.279577e-07
1.843431.6660272.442055e-07
1.853381.6658652.605410e-07
1.863391.6657022.769647e-07
1.873451.6655372.934770e-07
1.883561.665373.100786e-07
1.893731.6652023.267697e-07
1.903951.6650333.435510e-07
1.914231.6648623.604229e-07
1.924571.6646893.773859e-07
1.934961.6645153.944404e-07
1.945411.6643394.115871e-07
1.955911.6641614.288263e-07
1.966471.6639814.461586e-07
1.977091.66384.635845e-07
1.987761.6636174.811044e-07
1.998491.6634324.987190e-07
21.6634065.011900e-07
2.009281.6632465.474596e-07
2.020131.6630576.015225e-07
2.031041.6628676.558773e-07
2.042011.6626757.105255e-07
2.053031.662487.654688e-07
2.064111.6622848.207087e-07
2.075261.6620868.762469e-07
2.086461.6618869.320849e-07
2.097731.6616849.882244e-07
2.109051.6614791.044667e-06
2.120441.6612731.101414e-06
2.131891.6610641.158468e-06
2.14341.6608541.215830e-06
2.154971.6606411.273501e-06
2.166611.6604251.331484e-06
2.17831.6602081.389780e-06
2.190071.6599881.448391e-06
2.21.6598021.497900e-06
2.201891.6597661.543029e-06
2.213781.6595411.826924e-06
2.225731.6593152.112352e-06
2.237751.6590852.399321e-06
2.249831.6588532.687839e-06
2.261981.6586192.977915e-06
2.274191.6583823.269557e-06
2.286471.6581423.562774e-06
2.298811.65793.857574e-06
2.311221.6576554.153965e-06
2.32371.6574084.451957e-06
2.336251.6571574.751558e-06
2.348861.6569045.052776e-06
2.361541.6566485.355621e-06
2.374291.6563895.660100e-06
2.387111.6561285.966224e-06
2.41.6558636.274000e-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
—