Optical constants

Refractive index of S-LAL14 (OHARA)

S-LAL14: 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
1.69679
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.87911
Permittivity ε2
4.39826e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
55.532
Chromatic dispersion dn/dλ
-0.0648257 µm⁻¹
Group index ng
1.73489
Group velocity dispersion
112.845 fs²/mm
Dispersion parameter D
-615.629 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-LAL14 (OHARA): S-LAL14
ohara_s_lal14 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL14", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal14.range_nm)  # (280, 2400) nm
eps = ohara_s_lal14.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=1.2372097λ2λ2−0.015355132+0.589722623λ2λ2+0.00030789625+1.3192188λ2λ2−93.7202947

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.2372097
C30.015355132
C40.589722623
C5-0.00030789625
C61.3192188
C793.7202947

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.12e-06 1.19e-08 2.67e-12 4.01e-07 8.06e-10 0.216
nd
1.696797
Vd
55.532241
glass code
697555
density
value: 3700
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7.1e-06, temperature range: 293 573
dPgF
-0.0082
resistance
acid: 52.2; climatic: 1.0; phosphate: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.35e-06 K⁻¹ at 633 nm, dn/dT = 1.82e-06 K⁻¹ at 1310 nm, dn/dT = 1.77e-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 430 wavelengths, the same grid as the API and the library
S-LAL14 (OHARA), S-LAL14: n and k versus wavelength
λ (µm)nk
0.281.7677267.813200e-06
0.2815121.7665977.559787e-06
0.2830321.7654857.305006e-06
0.284561.7643897.048849e-06
0.2860961.7633116.791310e-06
0.2876411.7622486.532379e-06
0.2891941.7612016.272051e-06
0.291.7606666.136900e-06
0.2907551.760176.015483e-06
0.2923251.7591545.763073e-06
0.2939031.7581535.509301e-06
0.295491.7571665.254159e-06
0.2970851.7561954.997639e-06
0.2986891.7552374.739735e-06
0.31.7544684.529000e-06
0.3003021.7542934.489767e-06
0.3019231.7533634.279153e-06
0.3035531.7524464.067403e-06
0.3051921.7515423.854509e-06
0.306841.7506523.640465e-06
0.3084971.7497743.425266e-06
0.311.7489923.230000e-06
0.3101621.7489083.214417e-06
0.3118371.7480553.053723e-06
0.3135211.7472142.892162e-06
0.3152131.7463852.729729e-06
0.3169151.7455672.566419e-06
0.3186261.7447612.402226e-06
0.321.7441252.270400e-06
0.3203471.7439662.244487e-06
0.3220761.7431822.115150e-06
0.3238151.7424091.985114e-06
0.3255631.7416461.854376e-06
0.3273211.7408941.722932e-06
0.3290881.7401531.590779e-06
0.331.7397761.522600e-06
0.3308651.7394211.474368e-06
0.3326511.73871.374765e-06
0.3344471.7379881.274625e-06
0.3362531.7372861.173945e-06
0.3380691.7365931.072720e-06
0.3398941.735919.709496e-07
0.341.7358719.650300e-07
0.3417291.7352368.996535e-07
0.3435741.7345718.298878e-07
0.3454291.7339157.597455e-07
0.3472941.7332676.892244e-07
0.3491691.7326296.183226e-07
0.351.7323495.869000e-07
0.3510541.7319985.636362e-07
0.352951.7313765.218092e-07
0.3548551.7307624.797565e-07
0.3567711.7301564.374767e-07
0.3586971.7295593.949686e-07
0.361.729163.662200e-07
0.3606341.7289683.563495e-07
0.3625811.7283863.260314e-07
0.3645391.7278112.955496e-07
0.3665071.7272442.649032e-07
0.3684861.7266842.340914e-07
0.371.7262622.105100e-07
0.3704751.7261312.065240e-07
0.3724751.7255851.897401e-07
0.3744861.7250461.728656e-07
0.3765081.7245141.559001e-07
0.3785411.7239891.388429e-07
0.381.7236181.266000e-07
0.3805851.723471.239781e-07
0.382641.7229581.147641e-07
0.3847051.7224531.055004e-07
0.3867821.7219549.618672e-08
0.3888711.7214618.682272e-08
0.391.7211988.175900e-08
0.390971.7209747.943606e-08
0.3930811.7204947.438241e-08
0.3952031.7200196.930148e-08
0.3973371.7195516.419311e-08
0.3994821.7190885.905716e-08
0.41.7189775.781800e-08
0.4016391.7186315.583230e-08
0.4038081.7181795.320552e-08
0.4059881.7177335.056455e-08
0.408181.7172934.790932e-08
0.4103841.7168584.523976e-08
0.4125991.7164284.255578e-08
0.4148271.7160033.985731e-08
0.4170671.7155843.714428e-08
0.4193181.715173.441659e-08
0.421.7150463.359100e-08
0.4215821.714763.287932e-08
0.4238591.7143563.185562e-08
0.4261471.7139563.082640e-08
0.4284481.7135622.979161e-08
0.4307611.7131722.875124e-08
0.4330871.7127862.770526e-08
0.4354251.7124062.665362e-08
0.4377761.7120292.559631e-08
0.441.7116792.459600e-08
0.4401391.7116582.455245e-08
0.4425161.711292.381020e-08
0.4449051.7109272.306394e-08
0.4473071.7105682.231365e-08
0.4497221.7102142.155931e-08
0.452151.7098632.080090e-08
0.4545911.7095172.003839e-08
0.4570461.7091751.927177e-08
0.4595131.7088361.850101e-08
0.461.708771.834900e-08
0.4619941.7085021.766367e-08
0.4644891.7081711.680649e-08
0.4669961.7078441.594468e-08
0.4695181.7075211.507822e-08
0.4720531.7072021.420708e-08
0.4746011.7068861.333124e-08
0.4771641.7065741.245067e-08
0.479741.7062651.156534e-08
0.481.7062351.147600e-08
0.482331.705961.106702e-08
0.4849341.7056591.060995e-08
0.4875531.705361.015042e-08
0.4901851.7050659.688409e-09
0.4928311.7047749.223901e-09
0.4954921.7044858.756885e-09
0.4981671.70428.287348e-09
0.51.7040077.965700e-09
0.5008571.7039187.979354e-09
0.5035611.7036398.022437e-09
0.506281.7033638.065752e-09
0.5090131.703098.109302e-09
0.5117621.7028218.153086e-09
0.5145251.7025548.197107e-09
0.5173031.702298.241365e-09
0.5200961.7020298.285862e-09
0.5229041.701778.330600e-09
0.5257271.7015158.375579e-09
0.5285651.7012628.420801e-09
0.5314191.7010128.466267e-09
0.5342881.7007648.511979e-09
0.5371731.700528.557937e-09
0.5400731.7002778.604144e-09
0.5429891.7000388.650600e-09
0.5459211.69988.697306e-09
0.5488681.6995668.744265e-09
0.551.6994778.762300e-09
0.5518311.6993348.966784e-09
0.5548111.6991049.299443e-09
0.5578061.6988769.633898e-09
0.5608181.6986519.970160e-09
0.5638461.6984281.030824e-08
0.566891.6982081.064814e-08
0.5699511.697991.098988e-08
0.5730281.6977741.133346e-08
0.5761221.697561.167889e-08
0.5792321.6973481.202620e-08
0.582361.6971381.237537e-08
0.5855041.6969311.272644e-08
0.5886651.6967261.307939e-08
0.5918431.6965221.343426e-08
0.5950391.6963211.379104e-08
0.5982511.6961211.414974e-08
0.61.6960141.434500e-08
0.6014811.6959241.438043e-08
0.6047291.6957281.445811e-08
0.6079941.6955351.453621e-08
0.6112761.6953431.461473e-08
0.6145771.6951531.469367e-08
0.6178951.6949641.477304e-08
0.6212311.6947781.485284e-08
0.6245851.6945931.493307e-08
0.6279571.694411.501373e-08
0.6313471.6942291.509483e-08
0.6347561.694051.517637e-08
0.6381831.6938721.525834e-08
0.6416291.6936951.534076e-08
0.6450931.6935211.542362e-08
0.6485761.6933481.550693e-08
0.651.6932781.554100e-08
0.6520781.6931761.535863e-08
0.6555981.6930061.504959e-08
0.6591381.6928381.473888e-08
0.6626971.6926711.442650e-08
0.6662741.6925051.411243e-08
0.6698721.6923411.379666e-08
0.6734881.6921781.347918e-08
0.6771251.6920171.316000e-08
0.680781.6918571.283909e-08
0.6844561.6916981.251645e-08
0.6881521.6915411.219206e-08
0.6918671.6913851.186593e-08
0.6956021.691231.153803e-08
0.6993581.6910771.120836e-08
0.71.6910511.115200e-08
0.7031341.6909251.120192e-08
0.706931.6907741.126240e-08
0.7107471.6906241.132320e-08
0.7145841.6904751.138433e-08
0.7184421.6903281.144579e-08
0.7223211.6901821.150758e-08
0.7262211.6900371.156970e-08
0.7301421.6898931.163216e-08
0.7340841.689751.169496e-08
0.7380471.6896081.175810e-08
0.7420321.6894671.182157e-08
0.7460391.6893271.188539e-08
0.7500661.6891881.194956e-08
0.7541161.6890511.201407e-08
0.7581881.6889141.207893e-08
0.7622811.6887781.214414e-08
0.7663971.6886431.220970e-08
0.7705351.6885091.227562e-08
0.7746951.6883761.234189e-08
0.7788771.6882441.240852e-08
0.7830831.6881121.247551e-08
0.787311.6879821.254286e-08
0.7915611.6878521.261057e-08
0.7958351.6877231.267865e-08
0.81.6875991.274500e-08
0.8001321.6875951.274710e-08
0.8044521.6874681.281592e-08
0.8087951.6873421.288510e-08
0.8131621.6872161.295467e-08
0.8175521.6870911.302460e-08
0.8219661.6869671.309492e-08
0.8264041.6868431.316561e-08
0.8308661.686721.323669e-08
0.8353521.6865981.330815e-08
0.8398621.6864771.338000e-08
0.8443961.6863561.345223e-08
0.8489551.6862351.352486e-08
0.8535391.6861161.359787e-08
0.8581471.6859971.367128e-08
0.862781.6858781.374509e-08
0.8674381.685761.381929e-08
0.8721221.6856431.389390e-08
0.876831.6855261.396891e-08
0.8815651.685411.404432e-08
0.8863241.6852941.412014e-08
0.8911091.6851781.419637e-08
0.8959211.6850641.427302e-08
0.91.6849671.433800e-08
0.9007581.6849491.435007e-08
0.9056211.6848351.442754e-08
0.9105111.6847221.450543e-08
0.9154261.6846091.458374e-08
0.9203691.6844961.466248e-08
0.9253381.6843841.474164e-08
0.9303341.6842721.482122e-08
0.9353571.684161.490124e-08
0.9404071.6840491.498168e-08
0.9454841.6839381.506257e-08
0.9505891.6838281.514388e-08
0.9557211.6837171.522564e-08
0.9608811.6836071.530784e-08
0.9660691.6834981.539048e-08
0.9712851.6833881.547357e-08
0.9765291.6832791.555711e-08
0.9818011.683171.564110e-08
0.9871021.6830611.572554e-08
0.9924321.6829531.581044e-08
0.997791.6828451.589579e-08
11.68281.593100e-08
1.003181.6827371.598163e-08
1.008591.6826291.606793e-08
1.014041.6825211.615471e-08
1.019511.6824131.624195e-08
1.025021.6823061.632966e-08
1.030551.6821981.641785e-08
1.036121.6820911.650651e-08
1.041711.6819841.659565e-08
1.047331.6818771.668528e-08
1.052991.6817691.677538e-08
1.058671.6816621.686598e-08
1.064391.6815551.695706e-08
1.070141.6814481.704863e-08
1.075911.6813411.714070e-08
1.081721.6812341.723327e-08
1.087561.6811271.732633e-08
1.093441.681021.741990e-08
1.099341.6809131.751397e-08
1.105271.6808061.760855e-08
1.111241.6806991.770364e-08
1.117241.6805921.779925e-08
1.123271.6804841.789537e-08
1.129341.6803771.799201e-08
1.135441.6802691.808917e-08
1.141571.6801611.818686e-08
1.147731.6800541.828507e-08
1.153931.6799451.838382e-08
1.160161.6798371.848309e-08
1.166421.6797291.858291e-08
1.172721.679621.868326e-08
1.179051.6795111.878415e-08
1.185421.6794021.888559e-08
1.191821.6792931.898758e-08
1.198251.6791831.909011e-08
1.21.6791531.911800e-08
1.204721.6790732.104356e-08
1.211221.6789632.369740e-08
1.217761.6788522.636558e-08
1.224341.6787412.904816e-08
1.230951.678633.174522e-08
1.237591.6785193.445685e-08
1.244281.6784073.718311e-08
1.250991.6782953.992410e-08
1.257751.6781824.267988e-08
1.264541.6780694.545054e-08
1.271371.6779554.823616e-08
1.278231.6778425.103682e-08
1.285131.6777275.385260e-08
1.292071.6776125.668359e-08
1.299051.6774975.952986e-08
1.306061.6773816.239149e-08
1.313111.6772656.526858e-08
1.32021.6771486.816120e-08
1.327331.6770317.106944e-08
1.33451.6769137.399337e-08
1.34171.6767957.693310e-08
1.348941.6766767.988870e-08
1.356231.6765568.286025e-08
1.363551.6764368.584785e-08
1.370911.6763158.885158e-08
1.378311.6761939.187153e-08
1.385751.6760719.490778e-08
1.393241.6759489.796042e-08
1.41.6758371.007200e-07
1.400761.6758251.007259e-07
1.408321.6757011.007845e-07
1.415931.6755761.008434e-07
1.423571.675451.009027e-07
1.431261.6753231.009622e-07
1.438981.6751961.010221e-07
1.446751.6750681.010823e-07
1.454561.6749391.011429e-07
1.462421.674811.012037e-07
1.470311.6746791.012649e-07
1.478251.6745481.013264e-07
1.486231.6744161.013883e-07
1.494261.6742831.014505e-07
1.502321.6741491.015130e-07
1.510431.6740141.015759e-07
1.518591.6738781.016391e-07
1.526791.6737411.017026e-07
1.535031.6736031.017665e-07
1.543321.6734641.018307e-07
1.551651.6733241.018953e-07
1.560031.6731841.019602e-07
1.568451.6730421.020255e-07
1.576921.6728991.020911e-07
1.585431.6727541.021571e-07
1.593991.6726091.022235e-07
1.61.6725071.022700e-07
1.60261.6724631.043233e-07
1.611251.6723151.111549e-07
1.619951.6721671.180234e-07
1.62871.6720171.249290e-07
1.637491.6718661.318719e-07
1.646331.6717131.388523e-07
1.655221.671561.458703e-07
1.664161.6714051.529262e-07
1.673141.6712491.600203e-07
1.682181.6710921.671526e-07
1.691261.6709331.743235e-07
1.700391.6707731.815330e-07
1.709571.6706111.887815e-07
1.71881.6704481.960691e-07
1.728081.6702842.033961e-07
1.737411.6701182.107626e-07
1.746791.6699512.181689e-07
1.756221.6697822.256152e-07
1.76571.6696112.331017e-07
1.775241.669442.406286e-07
1.784821.6692662.481961e-07
1.794461.6690912.558045e-07
1.81.668992.601800e-07
1.804151.6689142.703251e-07
1.813891.6687362.941562e-07
1.823681.6685563.181160e-07
1.833531.6683743.422052e-07
1.843431.6681913.664244e-07
1.853381.6680063.907744e-07
1.863391.6678194.152559e-07
1.873451.667634.398695e-07
1.883561.667444.646160e-07
1.893731.6672474.894962e-07
1.903951.6670535.145106e-07
1.914231.6668575.396601e-07
1.924571.6666595.649455e-07
1.934961.6664585.903673e-07
1.945411.6662566.159263e-07
1.955911.6660526.416234e-07
1.966471.6658466.674592e-07
1.977091.6656386.934345e-07
1.987761.6654277.195501e-07
1.998491.6652157.458066e-07
21.6651857.494900e-07
2.009281.6658.372751e-07
2.020131.6647839.398460e-07
2.031041.6645641.042971e-06
2.042011.6643421.146652e-06
2.053031.6641181.250893e-06
2.064111.6638921.355698e-06
2.075261.6636631.461067e-06
2.086461.6634321.567006e-06
2.097731.6631991.673517e-06
2.109051.6629631.780603e-06
2.120441.6627241.888267e-06
2.131891.6624831.996512e-06
2.14341.662242.105342e-06
2.154971.6619932.214759e-06
2.166611.6617442.324767e-06
2.17831.6614932.435369e-06
2.190071.6612382.546568e-06
2.21.6610222.640500e-06
2.201891.6609812.710766e-06
2.213781.6607213.152798e-06
2.225731.6604583.597216e-06
2.237751.6601924.044033e-06
2.249831.6599234.493263e-06
2.261981.6596514.944918e-06
2.274191.6593765.399012e-06
2.286471.6590985.855557e-06
2.298811.6588176.314568e-06
2.311221.6585326.776056e-06
2.32371.6582457.240037e-06
2.336251.6579547.706522e-06
2.348861.6576598.175526e-06
2.361541.6573628.647062e-06
2.374291.6570619.121144e-06
2.387111.6567569.597785e-06
2.41.6564481.007700e-05

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
—