Optical constants

Refractive index of L-LAL15 (OHARA)

L-LAL15: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.69304
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.86637
Permittivity ε2
1.58411e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
52.931
Chromatic dispersion dn/dλ
-0.0675344 µm⁻¹
Group index ng
1.73272
Group velocity dispersion
118.974 fs²/mm
Dispersion parameter D
-649.069 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-LAL15 (OHARA): L-LAL15
ohara_l_lal15 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAL15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lal15.range_nm)  # (365.015, 2325.42) nm
eps = ohara_l_lal15.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=1.07959634λ2λ2−0.00470047543+0.731872134λ2λ2−0.0198615758+1.17111107λ2λ2−87.03599

Valid from 0.365015 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C21.07959634
C30.00470047543
C40.731872134
C50.0198615758
C61.17111107
C787.03599

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 9.24e-06 1.32e-08 -3.57e-11 5.77e-07 5.66e-10 0.206
nd
1.693040
Vd
52.930600
density
value: 3660
thermal expansion
value: 5.4e-06, temperature range: 243 343
dPgF
-0.0091
resistance
acid: 53.0; climatic: 3.0; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 5.96e-06 K⁻¹ at 633 nm, dn/dT = 5.15e-06 K⁻¹ at 1310 nm, dn/dT = 5.08e-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 422 wavelengths, the same grid as the API and the library
L-LAL15 (OHARA), L-LAL15: n and k versus wavelength
λ (µm)nk
0.3650151.7255057.627747e-08
0.3667131.7249887.055747e-08
0.3684191.7244766.481086e-08
0.371.724015.948400e-08
0.3701331.7239715.922006e-08
0.3718541.7234715.579122e-08
0.3735841.7229775.234643e-08
0.3753221.7224884.888561e-08
0.3770681.7220054.540870e-08
0.3788221.7215284.191561e-08
0.381.7212113.956900e-08
0.3805841.7210553.889693e-08
0.3823541.7205883.685908e-08
0.3841331.7201273.481174e-08
0.385921.719673.275488e-08
0.3877151.7192183.068846e-08
0.3895181.7187722.861242e-08
0.391.7186532.805800e-08
0.391331.718332.730001e-08
0.3931511.7178932.626278e-08
0.3949791.7174612.522072e-08
0.3968171.7170332.417382e-08
0.3986631.7166112.312204e-08
0.41.7163092.236000e-08
0.4005171.7161932.221504e-08
0.402381.7157792.169273e-08
0.4042521.715372.116798e-08
0.4061321.7149652.064080e-08
0.4080221.7145652.011116e-08
0.409921.7141691.957906e-08
0.4118261.7137771.904449e-08
0.4137421.713391.850742e-08
0.4156671.7130061.796786e-08
0.41761.7126271.742579e-08
0.4195431.7122511.688120e-08
0.421.7121641.675300e-08
0.4214941.711881.628731e-08
0.4234551.7115131.567627e-08
0.4254251.7111491.506239e-08
0.4274041.7107891.444565e-08
0.4293921.7104331.382604e-08
0.4313891.7100811.320356e-08
0.4333961.7097331.257817e-08
0.4354121.7093881.194988e-08
0.4374371.7090461.131866e-08
0.4394721.7087091.068451e-08
0.441.7086221.052000e-08
0.4415161.7083741.055624e-08
0.443571.7080441.060533e-08
0.4456341.7077161.065464e-08
0.4477061.7073921.070419e-08
0.4497891.7070711.075396e-08
0.4518811.7067541.080396e-08
0.4539831.706441.085420e-08
0.4560951.7061291.090467e-08
0.4582171.7058211.095538e-08
0.461.7055651.099800e-08
0.4603481.7055161.093965e-08
0.462491.7052141.058087e-08
0.4646411.7049161.022043e-08
0.4668021.704629.858300e-09
0.4689741.7043279.494490e-09
0.4711551.7040389.128988e-09
0.4733471.7037518.761786e-09
0.4755491.7034678.392875e-09
0.4777611.7031868.022249e-09
0.4799831.7029077.649898e-09
0.481.7029057.647100e-09
0.4822161.7026327.240880e-09
0.4844591.7023596.829694e-09
0.4867131.7020896.416596e-09
0.4889771.7018216.001576e-09
0.4912511.7015565.584626e-09
0.4935361.7012945.165736e-09
0.4958321.7010344.744898e-09
0.4981391.7007774.322102e-09
0.51.7005723.980900e-09
0.5004561.7005223.984529e-09
0.5027841.700274.003065e-09
0.5051231.700024.021686e-09
0.5074721.6997724.040394e-09
0.5098331.6995274.059189e-09
0.5122041.6992854.078072e-09
0.5145871.6990444.097042e-09
0.5169811.6988064.116101e-09
0.5193861.698574.135248e-09
0.5218021.6983364.154484e-09
0.5242291.6981054.173810e-09
0.5266671.6978764.193226e-09
0.5291171.6976494.212732e-09
0.5315791.6974244.232329e-09
0.5340511.6972014.252017e-09
0.5365361.696984.271796e-09
0.5390311.6967614.291668e-09
0.5415391.6965444.311631e-09
0.5440581.6963294.331688e-09
0.5465891.6961174.351838e-09
0.5491311.6959064.372082e-09
0.551.6958344.379000e-09
0.5516861.6956974.392417e-09
0.5542521.695494.412844e-09
0.556831.6952854.433367e-09
0.559421.6950814.453985e-09
0.5620221.694884.474699e-09
0.5646371.694684.495509e-09
0.5672631.6944834.516416e-09
0.5699021.6942864.537420e-09
0.5725531.6940924.558522e-09
0.5752161.69394.579722e-09
0.5778921.6937094.601021e-09
0.580581.6935194.622419e-09
0.5832811.6933324.643916e-09
0.5859941.6931464.665514e-09
0.588721.6929624.687211e-09
0.5914591.6927794.709010e-09
0.594211.6925984.730910e-09
0.5969741.6924184.752912e-09
0.5997511.692244.775017e-09
0.61.6922244.777000e-09
0.6025411.6920644.797229e-09
0.6053441.6918894.819545e-09
0.6081591.6917154.841965e-09
0.6109881.6915434.864489e-09
0.613831.6913724.887118e-09
0.6166861.6912034.909853e-09
0.6195541.6910354.932693e-09
0.6224361.6908694.955639e-09
0.6253321.6907044.978692e-09
0.6282411.690545.001852e-09
0.6311631.6903785.025120e-09
0.6340991.6902175.048496e-09
0.6370491.6900585.071981e-09
0.6400121.6898995.095575e-09
0.6429891.6897425.119279e-09
0.645981.6895865.143093e-09
0.6489851.6894325.167018e-09
0.651.689385.175100e-09
0.6520041.6892785.191055e-09
0.6550371.6891265.215203e-09
0.6580841.6889755.239463e-09
0.6611451.6888255.263836e-09
0.664221.6886775.288323e-09
0.667311.6885295.312923e-09
0.6704141.6883835.337638e-09
0.6735331.6882385.362468e-09
0.6766661.6880935.387414e-09
0.6798141.687955.412475e-09
0.6829761.6878085.437653e-09
0.6861531.6876675.462948e-09
0.6893451.6875285.488361e-09
0.6925511.6873895.513892e-09
0.6957731.6872515.539542e-09
0.6990091.6871145.565311e-09
0.71.6870725.573200e-09
0.7022611.6869785.591200e-09
0.7055271.6868435.617210e-09
0.7088091.6867095.643340e-09
0.7121061.6865765.669592e-09
0.7154191.6864445.695966e-09
0.7187471.6863135.722463e-09
0.722091.6861835.749083e-09
0.7254491.6860545.775827e-09
0.7288241.6859255.802695e-09
0.7322141.6857985.829688e-09
0.735621.6856715.856807e-09
0.7390421.6855455.884052e-09
0.742481.685425.911423e-09
0.7459331.6852965.938922e-09
0.7494031.6851735.966549e-09
0.7528891.685055.994305e-09
0.7563921.6849286.022189e-09
0.759911.6848076.050203e-09
0.7634451.6846876.078348e-09
0.7669961.6845676.106623e-09
0.7705641.6844496.135030e-09
0.7741481.6843316.163570e-09
0.777751.6842136.192242e-09
0.7813671.6840976.221047e-09
0.7850021.6839816.249986e-09
0.7886541.6838656.279060e-09
0.7923221.6837516.308269e-09
0.7960081.6836376.337614e-09
0.7997111.6835236.367096e-09
0.81.6835156.369400e-09
0.8034311.6834116.396714e-09
0.8071681.6832996.426471e-09
0.8109231.6831876.456365e-09
0.8146951.6830766.486399e-09
0.8184841.6829666.516573e-09
0.8222921.6828566.546887e-09
0.8261171.6827476.577342e-09
0.829961.6826396.607938e-09
0.833821.6825316.638677e-09
0.8376991.6824236.669559e-09
0.8415961.6823166.700585e-09
0.8455111.682216.731755e-09
0.8494441.6821046.763070e-09
0.8533951.6819986.794530e-09
0.8573651.6818936.826137e-09
0.8613531.6817896.857891e-09
0.865361.6816856.889793e-09
0.8693851.6815816.921843e-09
0.8734291.6814786.954042e-09
0.8774921.6813766.986391e-09
0.8815741.6812747.018890e-09
0.8856751.6811727.051541e-09
0.8897941.681077.084343e-09
0.8939331.6809697.117298e-09
0.8980921.6808697.150407e-09
0.91.6808237.165600e-09
0.9022691.6807697.183667e-09
0.9064661.6806697.217080e-09
0.9106831.6805697.250648e-09
0.9149191.680477.284372e-09
0.9191751.6803717.318254e-09
0.9234511.6802737.352293e-09
0.9277471.6801757.386490e-09
0.9320621.6800777.420846e-09
0.9363981.6799797.455362e-09
0.9407541.6798827.490039e-09
0.945131.6797857.524877e-09
0.9495261.6796897.559877e-09
0.9539431.6795927.595040e-09
0.958381.6794967.630367e-09
0.9628391.67947.665857e-09
0.9673171.6793057.701513e-09
0.9718171.6792097.737335e-09
0.9763381.6791147.773323e-09
0.9808791.6790197.809479e-09
0.9854421.6789247.845803e-09
0.9900261.678837.882296e-09
0.9946311.6787357.918959e-09
0.9992581.6786417.955792e-09
11.6786267.961700e-09
1.003911.6785477.992800e-09
1.008581.6784538.029982e-09
1.013271.678368.067336e-09
1.017981.6782668.104864e-09
1.022721.6781738.142567e-09
1.027471.6780798.180445e-09
1.032251.6779868.218499e-09
1.037051.6778938.256730e-09
1.041881.67788.295139e-09
1.046731.6777078.333727e-09
1.051591.6776158.372494e-09
1.056491.6775228.411442e-09
1.06141.6774298.450571e-09
1.066341.6773378.489881e-09
1.07131.6772448.529375e-09
1.076281.6771528.569052e-09
1.081291.6770598.608914e-09
1.086321.6769678.648962e-09
1.091371.6768748.689195e-09
1.096451.6767828.729616e-09
1.101551.676698.770225e-09
1.106671.6765978.811022e-09
1.111821.6765058.852010e-09
1.116991.6764128.893188e-09
1.122191.676328.934558e-09
1.127411.6762278.976120e-09
1.132651.6761359.017875e-09
1.137921.6760429.059825e-09
1.143211.6759499.101970e-09
1.148531.6758569.144311e-09
1.153871.6757639.186848e-09
1.159241.675679.229584e-09
1.164631.6755779.272519e-09
1.170051.6754849.315653e-09
1.175491.6753919.358988e-09
1.180961.6752979.402524e-09
1.186461.6752049.446263e-09
1.191981.675119.490205e-09
1.197521.6750169.534352e-09
1.21.6749749.554100e-09
1.203091.6749221.113654e-08
1.208691.6748281.400234e-08
1.214311.6747331.688147e-08
1.219961.6746381.977399e-08
1.225631.6745442.267997e-08
1.231331.6744482.559946e-08
1.237061.6743532.853254e-08
1.242821.6742583.147926e-08
1.24861.6741623.443968e-08
1.254411.6740663.741388e-08
1.260241.673974.040191e-08
1.26611.6738734.340384e-08
1.271991.6737764.641974e-08
1.277911.6736794.944966e-08
1.283851.6735825.249368e-08
1.289831.6734845.555186e-08
1.295831.6733865.862426e-08
1.301851.6732886.171096e-08
1.307911.6731896.481201e-08
1.313991.673096.792749e-08
1.320111.6729917.105746e-08
1.326251.6728917.420199e-08
1.332421.6727917.736115e-08
1.338611.6726918.053500e-08
1.344841.672598.372362e-08
1.35111.6724888.692707e-08
1.357381.6723879.014542e-08
1.363691.6722859.337875e-08
1.370041.6721829.662711e-08
1.376411.6720799.989058e-08
1.382811.6719761.031692e-07
1.389251.6718721.064631e-07
1.395711.6717681.097724e-07
1.41.6716981.119700e-07
1.40221.6716631.120046e-07
1.408721.6715581.121070e-07
1.415281.6714521.122098e-07
1.421861.6713461.123132e-07
1.428471.6712391.124170e-07
1.435121.6711321.125214e-07
1.441791.6710241.126262e-07
1.44851.6709151.127315e-07
1.455241.6708061.128373e-07
1.462011.6706971.129435e-07
1.468811.6705871.130503e-07
1.475641.6704761.131576e-07
1.482511.6703651.132653e-07
1.48941.6702531.133736e-07
1.496331.670141.134824e-07
1.503291.6700271.135917e-07
1.510281.6699131.137014e-07
1.517311.6697981.138117e-07
1.524371.6696831.139226e-07
1.531461.6695671.140339e-07
1.538581.6694511.141457e-07
1.545741.6693341.142581e-07
1.552931.6692161.143710e-07
1.560151.6690971.144844e-07
1.567411.6689771.145983e-07
1.57471.6688571.147128e-07
1.582031.6687361.148278e-07
1.589391.6686151.149433e-07
1.596781.6684921.150594e-07
1.61.6684391.151100e-07
1.604211.6683691.190827e-07
1.611671.6682441.261308e-07
1.619171.668121.332116e-07
1.62671.6679941.403255e-07
1.634261.6678671.474724e-07
1.641871.6677391.546525e-07
1.64951.6676111.618661e-07
1.657181.6674821.691132e-07
1.664891.6673521.763940e-07
1.672631.667221.837087e-07
1.680411.6670881.910575e-07
1.688231.6669551.984404e-07
1.696081.6668212.058576e-07
1.703971.6666862.133094e-07
1.71191.666552.207958e-07
1.719861.6664142.283170e-07
1.727861.6662762.358732e-07
1.73591.6661372.434646e-07
1.743971.6659972.510913e-07
1.752081.6658552.587535e-07
1.760231.6657132.664513e-07
1.768421.665572.741849e-07
1.776651.6654262.819545e-07
1.784911.665282.897602e-07
1.793221.6651342.976022e-07
1.81.6650133.040100e-07
1.801561.6649863.081296e-07
1.809941.6648373.303000e-07
1.818361.6646873.525736e-07
1.826821.6645353.749507e-07
1.835311.6643833.974320e-07
1.843851.6642294.200178e-07
1.852431.6640744.427087e-07
1.861041.6639184.655052e-07
1.86971.663764.884076e-07
1.87841.6636015.114167e-07
1.887141.6634415.345327e-07
1.895911.663285.577563e-07
1.904731.6631175.810879e-07
1.913591.6629536.045280e-07
1.92251.6627876.280772e-07
1.931441.662626.517359e-07
1.940421.6624526.755047e-07
1.949451.6622826.993840e-07
1.958521.662117.233745e-07
1.967631.6619377.474765e-07
1.976781.6617637.716906e-07
1.985981.6615877.960174e-07
1.995211.661418.204573e-07
21.6613188.331200e-07
2.004491.6612318.783382e-07
2.013821.661059.721441e-07
2.023191.6608681.066386e-06
2.03261.6606841.161067e-06
2.042051.6604991.256188e-06
2.051551.6603121.351752e-06
2.061091.6601231.447760e-06
2.070681.6599331.544214e-06
2.080311.659741.641118e-06
2.089991.6595461.738472e-06
2.099711.6593511.836279e-06
2.109481.6591531.934541e-06
2.119291.6589542.033260e-06
2.129151.6587532.132438e-06
2.139061.658552.232077e-06
2.149011.6583452.332181e-06
2.1591.6581382.432749e-06
2.169051.6579292.533786e-06
2.179141.6577182.635292e-06
2.189271.6575052.737271e-06
2.199461.6572912.839724e-06
2.21.6572792.845200e-06
2.209691.6570743.195467e-06
2.219971.6568553.567137e-06
2.230291.6566343.940535e-06
2.240671.6564114.315671e-06
2.251091.6561864.692551e-06
2.261561.6559585.071185e-06
2.272081.6557295.451580e-06
2.282651.6554975.833744e-06
2.293271.6552636.217686e-06
2.303941.6550266.603414e-06
2.314651.6547886.990937e-06
2.325421.6545467.380262e-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
—