Optical constants

Refractive index of L-LAL12 (OHARA)

L-LAL12: n,k 0.3–2.4 µm

Data
formula 2 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.6779
Extinction coefficient k
1.65641e-08
Permittivity ε1
2.81534
Permittivity ε2
5.55856e-08
Absorption coefficient α
0.00354238 cm⁻¹
Penetration depth δ = λ/(2πk)
5.64592e+09 nm
Abbe number Vd
54.887
Chromatic dispersion dn/dλ
-0.0637264 µm⁻¹
Group index ng
1.71534
Group velocity dispersion
112.255 fs²/mm
Dispersion parameter D
-612.413 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-LAL12 (OHARA): L-LAL12
ohara_l_lal12 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAL12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lal12.range_nm)  # (300, 2400) nm
eps = ohara_l_lal12.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=1.28516283λ2λ2−0.00641062082+0.478333797λ2λ2−0.0214815099+1.21605301λ2λ2−100.243378

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.28516283
C30.00641062082
C40.478333797
C50.0214815099
C61.21605301
C7100.243378

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.27e-07 8.14e-09 -3.58e-11 5.41e-07 7.88e-10 0.181
nd
1.677900
Vd
54.887440
glass code
678549
glass status
special
density
value: 3480
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0069
resistance
acid: 53.2; climatic: 3.0; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 9.69e-07 K⁻¹ at 633 nm, dn/dT = 3.43e-07 K⁻¹ at 1310 nm, dn/dT = 2.92e-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 427 wavelengths, the same grid as the API and the library
L-LAL12 (OHARA), L-LAL12: n and k versus wavelength
λ (µm)nk
0.31.7352035.497000e-06
0.3015681.7342965.238821e-06
0.3031431.7334024.979293e-06
0.3047271.7325214.718409e-06
0.306321.7316534.456162e-06
0.307921.7307974.192544e-06
0.3095291.7299533.927549e-06
0.311.7297093.850000e-06
0.3111471.7291213.698867e-06
0.3127721.7283013.484552e-06
0.3144071.7274923.269117e-06
0.3160491.7266943.052557e-06
0.3177011.7259082.834865e-06
0.3193611.7251332.616035e-06
0.321.7248382.531800e-06
0.321031.7243682.432762e-06
0.3227071.7236142.271424e-06
0.3243931.722872.109243e-06
0.3260881.7221361.946215e-06
0.3277921.7214121.782335e-06
0.3295051.7206981.617598e-06
0.331.7204951.570000e-06
0.3312271.7199941.495779e-06
0.3329581.7192991.391074e-06
0.3346971.7186141.285823e-06
0.3364461.7179381.180021e-06
0.3382041.717271.073667e-06
0.3399711.7166129.667567e-07
0.341.7166019.650300e-07
0.3417481.7159628.989371e-07
0.3435341.7153218.314139e-07
0.3453291.7146887.635379e-07
0.3471331.7140646.953072e-07
0.3489471.7134486.267200e-07
0.351.7130955.869000e-07
0.350771.7128395.674079e-07
0.3526031.7122395.210256e-07
0.3544461.7116474.744010e-07
0.3562981.7110624.275327e-07
0.3581591.7104843.804195e-07
0.361.7099233.338400e-07
0.3600311.7099143.333920e-07
0.3619121.7093513.060424e-07
0.3638031.7087962.785500e-07
0.3657041.7082472.509138e-07
0.3676151.7077062.231333e-07
0.3695361.7071711.952076e-07
0.371.7070431.884600e-07
0.3714671.7066431.780004e-07
0.3734081.7061221.641591e-07
0.3753591.7056071.502455e-07
0.377321.7050991.362592e-07
0.3792921.7045971.221998e-07
0.381.7044181.171500e-07
0.3812741.7041011.122364e-07
0.3832661.7036111.045511e-07
0.3852691.7031289.682570e-08
0.3872821.702658.905988e-08
0.3893051.7021788.125350e-08
0.391.7020187.857400e-08
0.391341.7017127.579350e-08
0.3933841.7012527.154923e-08
0.395441.7007976.728278e-08
0.3975061.7003486.299403e-08
0.3995831.6999045.868288e-08
0.41.6998165.781800e-08
0.4016711.6994665.664112e-08
0.403771.6990325.516313e-08
0.405881.6986045.367741e-08
0.4080011.6981825.218393e-08
0.4101331.6977645.068264e-08
0.4122761.6973514.917351e-08
0.414431.6969434.765650e-08
0.4165951.696544.613156e-08
0.4187721.6961424.459865e-08
0.421.695924.373400e-08
0.420961.6957494.332374e-08
0.423161.695364.238407e-08
0.4253711.6949754.143948e-08
0.4275941.6945964.048996e-08
0.4298281.694223.953547e-08
0.4320741.6938493.857600e-08
0.4343321.6934823.761152e-08
0.4366011.693123.664199e-08
0.4388821.6927623.566740e-08
0.441.6925883.519000e-08
0.4411761.6924083.484974e-08
0.4434811.6920573.418260e-08
0.4457981.6917113.351198e-08
0.4481281.6913693.283785e-08
0.4504691.6910313.216020e-08
0.4528231.6906973.147900e-08
0.4551891.6903663.079425e-08
0.4575681.690043.010592e-08
0.4599591.6897162.941400e-08
0.461.6897112.940200e-08
0.4623621.6893972.819080e-08
0.4647781.6890812.695190e-08
0.4672061.6887692.570652e-08
0.4696481.688462.445464e-08
0.4721021.6881552.319622e-08
0.4745691.6878532.193122e-08
0.4770481.6875542.065962e-08
0.4795411.6872591.938136e-08
0.481.6872051.914600e-08
0.4820471.6869671.841010e-08
0.4845661.6866781.750446e-08
0.4870981.6863921.659409e-08
0.4896431.686111.567896e-08
0.4922011.685831.475905e-08
0.4947731.6855541.383434e-08
0.4973581.685281.290479e-08
0.4999571.685011.197039e-08
0.51.6850051.195500e-08
0.502571.6847421.179092e-08
0.5051961.6844781.162324e-08
0.5078351.6842161.145468e-08
0.5104891.6839571.128524e-08
0.5131561.6837011.111491e-08
0.5158381.6834471.094370e-08
0.5185331.6831961.077159e-08
0.5212431.6829481.059858e-08
0.5239661.6827031.042466e-08
0.5267041.682461.024984e-08
0.5294561.6822191.007410e-08
0.5322231.6819819.897449e-09
0.5350041.6817469.719871e-09
0.5377991.6815139.541366e-09
0.5406091.6812829.361928e-09
0.5434341.6810549.181553e-09
0.5462741.6808289.000235e-09
0.5491281.6806058.817969e-09
0.551.6805378.762300e-09
0.5519981.6803849.176771e-09
0.5548821.6801659.775249e-09
0.5577811.6799481.037686e-08
0.5606961.6797331.098160e-08
0.5636261.6795211.158951e-08
0.5665711.6793111.220060e-08
0.5695311.6791031.281488e-08
0.5725071.6788961.343237e-08
0.5754981.6786921.405308e-08
0.5785061.678491.467704e-08
0.5815281.678291.530426e-08
0.5845671.6780921.593476e-08
0.5876221.6778961.656855e-08
0.5906921.6777021.720565e-08
0.5937791.677511.784608e-08
0.5968811.6773191.848986e-08
0.61.6771311.913700e-08
0.6031351.6769441.891152e-08
0.6062871.6767591.868486e-08
0.6094551.6765761.845702e-08
0.6126391.6763941.822799e-08
0.615841.6762141.799776e-08
0.6190581.6760361.776633e-08
0.6222931.675861.753369e-08
0.6255451.6756851.729983e-08
0.6288131.6755121.706475e-08
0.6320991.675341.682844e-08
0.6354021.675171.659090e-08
0.6387221.6750021.635212e-08
0.6420591.6748351.611209e-08
0.6454141.6746691.587080e-08
0.6487871.6745051.562825e-08
0.651.6744471.554100e-08
0.6521771.6743431.534992e-08
0.6555851.6741821.505078e-08
0.659011.6740221.475008e-08
0.6624541.6738641.444781e-08
0.6659151.6737071.414396e-08
0.6693951.6735521.383853e-08
0.6728921.6733981.353150e-08
0.6764091.6732451.322286e-08
0.6799431.6730931.291261e-08
0.6834961.6729431.260074e-08
0.6870671.6727941.228724e-08
0.6906571.6726471.197210e-08
0.6942661.67251.165532e-08
0.6978941.6723551.133688e-08
0.71.6722711.115200e-08
0.7015411.6722111.107832e-08
0.7052061.6720681.090301e-08
0.7088911.6719261.072677e-08
0.7125951.6717851.054962e-08
0.7163191.6716461.037154e-08
0.7200621.6715071.019253e-08
0.7238241.671371.001259e-08
0.7276061.6712349.831702e-09
0.7314081.6710999.649872e-09
0.735231.6709659.467091e-09
0.7390721.6708319.283356e-09
0.7429341.6706999.098660e-09
0.7468161.6705688.912999e-09
0.7507181.6704388.726368e-09
0.7546411.6703098.538762e-09
0.7585841.670188.350176e-09
0.7625471.6700538.160604e-09
0.7665321.6699267.970042e-09
0.7705371.6698017.778484e-09
0.7745641.6696767.585925e-09
0.7786111.6695527.392360e-09
0.7826791.6694297.197783e-09
0.7867691.6693077.002190e-09
0.790881.6691866.805575e-09
0.7950121.6690656.607932e-09
0.7991671.6689456.409257e-09
0.81.6689216.369400e-09
0.8033421.6688266.635747e-09
0.807541.6687086.970242e-09
0.811761.6685917.306484e-09
0.8160011.6684747.644483e-09
0.8202651.6683587.984248e-09
0.8245511.6682428.325789e-09
0.828861.6681288.669114e-09
0.8331911.6680149.014233e-09
0.8375441.66799.361155e-09
0.8419211.6677879.709891e-09
0.846321.6676751.006045e-08
0.8507421.6675641.041284e-08
0.8551871.6674531.076707e-08
0.8596561.6673431.112315e-08
0.8641481.6672331.148109e-08
0.8686631.6671241.184090e-08
0.8732021.6670151.220260e-08
0.8777651.6669071.256618e-08
0.8823511.66681.293166e-08
0.8869621.6666931.329905e-08
0.8915971.6665861.366836e-08
0.8962551.666481.403961e-08
0.91.6663961.433800e-08
0.9009391.6663741.435295e-08
0.9056461.6662691.442794e-08
0.9103781.6661651.450333e-08
0.9151351.666061.457911e-08
0.9199171.6659571.465528e-08
0.9247241.6658531.473185e-08
0.9295561.665751.480882e-08
0.9344131.6656481.488620e-08
0.9392951.6655461.496398e-08
0.9442041.6654441.504216e-08
0.9491371.6653421.512076e-08
0.9540971.6652411.519976e-08
0.9590821.665141.527918e-08
0.9640931.665041.535901e-08
0.9691311.664941.543926e-08
0.9741951.664841.551993e-08
0.9792851.664741.560102e-08
0.9844021.6646411.568253e-08
0.9895461.6645421.576447e-08
0.9947171.6644431.584684e-08
0.9999141.6643441.592964e-08
11.6643431.593100e-08
1.005141.6642461.576714e-08
1.010391.6641481.559968e-08
1.015671.664051.543134e-08
1.020981.6639521.526213e-08
1.026311.6638541.509203e-08
1.031681.6637571.492104e-08
1.037071.663661.474916e-08
1.042491.6635621.457638e-08
1.047931.6634651.440270e-08
1.053411.6633681.422811e-08
1.058911.6632721.405261e-08
1.064451.6631751.387619e-08
1.070011.6630781.369885e-08
1.07561.6629821.352058e-08
1.081221.6628851.334138e-08
1.086871.6627891.316124e-08
1.092551.6626931.298017e-08
1.098261.6625961.279815e-08
1.1041.66251.261517e-08
1.109761.6624041.243124e-08
1.115561.6623081.224635e-08
1.121391.6622111.206049e-08
1.127251.6621151.187366e-08
1.133141.6620181.168586e-08
1.139061.6619221.149707e-08
1.145011.6618261.130730e-08
1.1511.6617291.111654e-08
1.157011.6616321.092478e-08
1.163061.6615361.073201e-08
1.169131.6614391.053824e-08
1.175241.6613421.034346e-08
1.181381.6612451.014766e-08
1.187561.6611489.950838e-09
1.193761.661059.752986e-09
1.21.6609539.554100e-09
1.21.6609539.554100e-09
1.206271.6608551.030399e-08
1.212571.6607571.105780e-08
1.218911.6606591.181555e-08
1.225281.6605611.257726e-08
1.231681.6604621.334295e-08
1.238121.6603641.411264e-08
1.244591.6602651.488635e-08
1.251091.6601651.566410e-08
1.257631.6600661.644592e-08
1.26421.6599661.723182e-08
1.27081.6598661.802183e-08
1.277441.6597661.881597e-08
1.284121.6596651.961426e-08
1.290831.6595642.041671e-08
1.297571.6594632.122336e-08
1.304351.6593612.203423e-08
1.311171.6592592.284933e-08
1.318021.6591572.366870e-08
1.324911.6590542.449234e-08
1.331831.6589512.532029e-08
1.338791.6588472.615256e-08
1.345781.6587432.698918e-08
1.352821.6586382.783018e-08
1.359891.6585342.867557e-08
1.366991.6584282.952537e-08
1.374131.6583223.037962e-08
1.381311.6582163.123833e-08
1.388531.6581093.210152e-08
1.395791.6580023.296923e-08
1.41.657943.347300e-08
1.403081.6578943.374350e-08
1.410411.6577863.438716e-08
1.417781.6576773.503419e-08
1.425191.6575673.568459e-08
1.432641.6574573.633840e-08
1.440121.6573463.699562e-08
1.447651.6572353.765628e-08
1.455211.6571233.832039e-08
1.462821.6570113.898796e-08
1.470461.6568983.965903e-08
1.478141.6567844.033360e-08
1.485871.6566694.101170e-08
1.493631.6565544.169334e-08
1.501441.6564384.237855e-08
1.509281.6563224.306733e-08
1.517171.6562044.375971e-08
1.525091.6560864.445571e-08
1.533061.6559674.515535e-08
1.541071.6558484.585864e-08
1.549131.6557274.656561e-08
1.557221.6556064.727627e-08
1.565361.6554844.799064e-08
1.573541.6553614.870875e-08
1.581761.6552384.943061e-08
1.590021.6551135.015624e-08
1.598331.6549885.088567e-08
1.61.6549635.103200e-08
1.606681.6548625.462207e-08
1.615081.6547345.913069e-08
1.623521.6546066.366286e-08
1.6321.6544776.821872e-08
1.640531.6543477.279838e-08
1.64911.6542167.740198e-08
1.657721.6540848.202962e-08
1.666381.6539518.668145e-08
1.675091.6538179.135759e-08
1.683841.6536829.605816e-08
1.692641.6535461.007833e-07
1.701481.6534091.055331e-07
1.710371.653271.103077e-07
1.719311.6531311.151073e-07
1.72831.652991.199320e-07
1.737331.6528491.247819e-07
1.74641.6527061.296571e-07
1.755531.6525621.345578e-07
1.76471.6524171.394841e-07
1.773921.652271.444361e-07
1.783191.6521221.494140e-07
1.792511.6519741.544180e-07
1.81.6518531.584400e-07
1.801881.6518231.611950e-07
1.811291.6516721.750142e-07
1.820761.6515191.889057e-07
1.830271.6513652.028697e-07
1.839831.6512092.169066e-07
1.849451.6510522.310170e-07
1.859111.6508942.452010e-07
1.868831.6507342.594592e-07
1.878591.6505732.737918e-07
1.888411.650412.881994e-07
1.898271.6502463.026822e-07
1.908191.650083.172407e-07
1.918161.6499133.318753e-07
1.928191.6497453.465864e-07
1.938261.6495743.613743e-07
1.948391.6494023.762395e-07
1.958571.6492293.911824e-07
1.96881.6490544.062033e-07
1.979091.6488774.213028e-07
1.989431.6486984.364811e-07
1.999831.6485184.517387e-07
21.6485154.519900e-07
2.010281.6483365.018253e-07
2.020781.6481525.527554e-07
2.031341.6479676.039515e-07
2.041961.6477796.554152e-07
2.052631.647597.071478e-07
2.063351.6473997.591507e-07
2.074131.6472068.114253e-07
2.084971.6470118.639731e-07
2.095861.6468149.167955e-07
2.106821.6466159.698938e-07
2.117821.6464141.023270e-06
2.128891.6462111.076924e-06
2.140011.6460061.130859e-06
2.15121.6457991.185076e-06
2.162441.645591.239577e-06
2.173741.6453791.294362e-06
2.18511.6451651.349433e-06
2.196511.6449491.404792e-06
2.21.6448831.421700e-06
2.207991.6447311.598779e-06
2.219531.6445111.854474e-06
2.231121.6442882.111505e-06
2.242781.6440632.369878e-06
2.25451.6438362.629602e-06
2.266281.6436062.890683e-06
2.278121.6433743.153129e-06
2.290031.6431393.416945e-06
2.301991.6429023.682140e-06
2.314021.6426633.948721e-06
2.326111.642424.216695e-06
2.338271.6421754.486069e-06
2.350491.6419284.756851e-06
2.362771.6416775.029047e-06
2.375111.6414245.302666e-06
2.387521.6411685.577714e-06
2.41.640915.854200e-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
—