Optical constants

Refractive index of L-LAH91 (OHARA)

L-LAH91: 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
1.7645
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.11345
Permittivity ε2
1.65097e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
49.097
Chromatic dispersion dn/dλ
-0.0800562 µm⁻¹
Group index ng
1.81154
Group velocity dispersion
144.669 fs²/mm
Dispersion parameter D
-789.248 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-LAH91 (OHARA): L-LAH91
ohara_l_lah91 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAH91", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lah91.range_nm)  # (280, 2400) nm
eps = ohara_l_lah91.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=1.26144128λ2λ2−0.00572512582+0.782115273λ2λ2−0.0219829752+1.15823645λ2λ2−88.04822

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.26144128
C30.00572512582
C40.782115273
C50.0219829752
C61.15823645
C788.04822

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 7.54e-06 1.03e-08 1.85e-11 6.57e-07 6.38e-10 0.204
nd
1.764500
Vd
49.096913
density
value: 4290
thermal expansion
value: 5.7e-06, temperature range: 243 343
dPgF
-0.0092
resistance
acid: 52.2; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 5.59e-06 K⁻¹ at 633 nm, dn/dT = 4.63e-06 K⁻¹ at 1310 nm, dn/dT = 4.55e-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
L-LAH91 (OHARA), L-LAH91: n and k versus wavelength
λ (µm)nk
0.281.8565154.227100e-06
0.2815121.8549863.985584e-06
0.2830321.8534823.742765e-06
0.284561.8520043.498635e-06
0.2860961.8505493.253186e-06
0.2876411.8491193.006412e-06
0.2891941.8477112.758306e-06
0.291.8469932.629500e-06
0.2907551.8463272.570925e-06
0.2923251.8449652.449155e-06
0.2939031.8436252.326727e-06
0.295491.8423062.203639e-06
0.2970851.8410082.079886e-06
0.2986891.8397311.955465e-06
0.31.8387071.853800e-06
0.3003021.8384741.837122e-06
0.3019231.8372361.747591e-06
0.3035531.8360181.657577e-06
0.3051921.8348191.567076e-06
0.306841.8336381.476087e-06
0.3084971.8324751.384607e-06
0.311.8314411.301600e-06
0.3101621.831331.295808e-06
0.3118371.8302031.236077e-06
0.3135211.8290921.176023e-06
0.3152131.8279991.115646e-06
0.3169151.8269211.054942e-06
0.3186261.825869.939108e-07
0.321.8250249.449100e-07
0.3203471.8248159.347763e-07
0.3220761.8237858.841967e-07
0.3238151.822778.333440e-07
0.3255631.8217717.822167e-07
0.3273211.8207867.308134e-07
0.3290881.8198156.791325e-07
0.331.8193226.524700e-07
0.3308651.8188586.340662e-07
0.3326511.8179155.960613e-07
0.3344471.8169865.578512e-07
0.3362531.816075.194348e-07
0.3380691.8151674.808110e-07
0.3398941.8142784.419787e-07
0.341.8142264.397200e-07
0.3417291.81344.133623e-07
0.3435741.8125353.852350e-07
0.3454291.8116833.569558e-07
0.3472941.8108423.285239e-07
0.3491691.8100132.999386e-07
0.351.8096512.872700e-07
0.3510541.8091952.766385e-07
0.352951.8083892.575237e-07
0.3548551.8075942.383058e-07
0.3567711.8068112.189840e-07
0.3586971.8060371.995580e-07
0.361.8055231.864200e-07
0.3606341.8052751.833918e-07
0.3625811.8045231.740906e-07
0.3645391.8037811.647391e-07
0.3665071.8030491.553372e-07
0.3684861.8023271.458845e-07
0.371.8017831.386500e-07
0.3704751.8016141.359954e-07
0.3724751.8009121.248180e-07
0.3744861.8002181.135802e-07
0.3765081.7995341.022818e-07
0.3785411.7988599.092232e-08
0.381.7983838.276900e-08
0.3805851.7981938.141040e-08
0.382641.7975367.663607e-08
0.3847051.7968887.183596e-08
0.3867821.7962486.700993e-08
0.3888711.7956166.215784e-08
0.391.7952795.953400e-08
0.390971.7949935.811196e-08
0.3930811.7943775.501826e-08
0.3952031.793775.190786e-08
0.3973371.7931714.878066e-08
0.3994821.7925794.563658e-08
0.41.7924384.487800e-08
0.4016391.7919954.367627e-08
0.4038081.7914184.208656e-08
0.4059881.7908494.048827e-08
0.408181.7902873.888134e-08
0.4103841.7897323.726574e-08
0.4125991.7891853.564142e-08
0.4148271.7886443.400833e-08
0.4170671.788113.236642e-08
0.4193181.7875833.071564e-08
0.421.7874253.021600e-08
0.4215821.7870622.977135e-08
0.4238591.7865482.913175e-08
0.4261471.786042.848870e-08
0.4284481.7855392.784218e-08
0.4307611.7850442.719216e-08
0.4330871.7845552.653864e-08
0.4354251.7840722.588158e-08
0.4377761.7835952.522098e-08
0.441.7831512.459600e-08
0.4401391.7831242.452681e-08
0.4425161.7826582.334767e-08
0.4449051.7821982.216216e-08
0.4473071.7817442.097025e-08
0.4497221.7812961.977191e-08
0.452151.7808531.856709e-08
0.4545911.7804151.735578e-08
0.4570461.7799821.613792e-08
0.4595131.7795551.491348e-08
0.461.7794721.467200e-08
0.4619941.7791331.435331e-08
0.4644891.7787161.395472e-08
0.4669961.7783031.355397e-08
0.4695181.7778961.315106e-08
0.4720531.7774941.274597e-08
0.4746011.7770961.233870e-08
0.4771641.7767031.192923e-08
0.479741.7763151.151754e-08
0.481.7762761.147600e-08
0.482331.7759311.106702e-08
0.4849341.7755521.060995e-08
0.4875531.7751771.015042e-08
0.4901851.7748069.688409e-09
0.4928311.774449.223901e-09
0.4954921.7740788.756885e-09
0.4981671.773728.287348e-09
0.51.7734797.965700e-09
0.5008571.7733677.904221e-09
0.5035611.7730177.710240e-09
0.506281.7726717.515213e-09
0.5090131.772337.319132e-09
0.5117621.7719927.121993e-09
0.5145251.7716586.923789e-09
0.5173031.7713286.724515e-09
0.5200961.7710026.524165e-09
0.5229041.7706796.322734e-09
0.5257271.770366.120215e-09
0.5285651.7700445.916603e-09
0.5314191.7697325.711891e-09
0.5342881.7694245.506074e-09
0.5371731.7691195.299146e-09
0.5400731.7688175.091101e-09
0.5429891.7685184.881932e-09
0.5459211.7682234.671634e-09
0.5488681.7679314.460201e-09
0.551.7678214.379000e-09
0.5518311.7676434.393578e-09
0.5548111.7673574.417294e-09
0.5578061.7670754.441138e-09
0.5608181.7667954.465110e-09
0.5638461.7665194.489212e-09
0.566891.7662454.513445e-09
0.5699511.7659754.537808e-09
0.5730281.7657074.562302e-09
0.5761221.7654434.586929e-09
0.5792321.7651814.611689e-09
0.582361.7649224.636582e-09
0.5855041.7646654.661610e-09
0.5886651.7644114.686773e-09
0.5918431.764164.712072e-09
0.5950391.7639124.737507e-09
0.5982511.7636664.763080e-09
0.61.7635344.777000e-09
0.6014811.7634234.788794e-09
0.6047291.7631824.814650e-09
0.6079941.7629434.840645e-09
0.6112761.7627084.866781e-09
0.6145771.7624744.893059e-09
0.6178951.7622434.919478e-09
0.6212311.7620144.946039e-09
0.6245851.7617884.972744e-09
0.6279571.7615634.999594e-09
0.6313471.7613415.026588e-09
0.6347561.7611225.053728e-09
0.6381831.7609045.081014e-09
0.6416291.7606885.108448e-09
0.6450931.7604755.136030e-09
0.6485761.7602645.163761e-09
0.651.7601785.175100e-09
0.6520781.7600555.191642e-09
0.6555981.7598475.219673e-09
0.6591381.7596425.247855e-09
0.6626971.7594395.276190e-09
0.6662741.7592375.304678e-09
0.6698721.7590385.333319e-09
0.6734881.758845.362115e-09
0.6771251.7586455.391066e-09
0.680781.7584515.420174e-09
0.6844561.7582595.449439e-09
0.6881521.7580695.478862e-09
0.6918671.757885.508444e-09
0.6956021.7576935.538186e-09
0.6993581.7575085.568088e-09
0.71.7574775.573200e-09
0.7031341.7573245.598151e-09
0.706931.7571435.628377e-09
0.7107471.7569625.658766e-09
0.7145841.7567845.689319e-09
0.7184421.7566075.720038e-09
0.7223211.7564315.750922e-09
0.7262211.7562575.781972e-09
0.7301421.7560855.813191e-09
0.7340841.7559135.844578e-09
0.7380471.7557445.876134e-09
0.7420321.7555765.907861e-09
0.7460391.7554095.939759e-09
0.7500661.7552445.971829e-09
0.7541161.7550796.004072e-09
0.7581881.7549176.036490e-09
0.7622811.7547556.069082e-09
0.7663971.7545956.101851e-09
0.7705351.7544366.134796e-09
0.7746951.7542796.167919e-09
0.7788771.7541236.201222e-09
0.7830831.7539676.234704e-09
0.787311.7538136.268366e-09
0.7915611.7536616.302211e-09
0.7958351.7535096.336238e-09
0.81.7533636.369400e-09
0.8001321.7533586.370449e-09
0.8044521.7532096.404844e-09
0.8087951.7530616.439426e-09
0.8131621.7529146.474193e-09
0.8175521.7527676.509149e-09
0.8219661.7526226.544294e-09
0.8264041.7524786.579628e-09
0.8308661.7523356.615153e-09
0.8353521.7521936.650870e-09
0.8398621.7520516.686779e-09
0.8443961.7519116.722883e-09
0.8489551.7517726.759181e-09
0.8535391.7516336.795675e-09
0.8581471.7514966.832367e-09
0.862781.7513596.869256e-09
0.8674381.7512236.906345e-09
0.8721221.7510886.943634e-09
0.876831.7509546.981124e-09
0.8815651.750827.018817e-09
0.8863241.7506887.056713e-09
0.8911091.7505567.094814e-09
0.8959211.7504247.133120e-09
0.91.7503147.165600e-09
0.9007581.7502947.171633e-09
0.9056211.7501647.210349e-09
0.9105111.7500357.249274e-09
0.9154261.7499077.288410e-09
0.9203691.7497797.327757e-09
0.9253381.7496527.367316e-09
0.9303341.7495267.407089e-09
0.9353571.74947.447077e-09
0.9404071.7492757.487280e-09
0.9454841.749157.527701e-09
0.9505891.7490267.568340e-09
0.9557211.7489027.609198e-09
0.9608811.7487797.650277e-09
0.9660691.7486577.691577e-09
0.9712851.7485357.733101e-09
0.9765291.7484137.774849e-09
0.9818011.7482927.816822e-09
0.9871021.7481727.859022e-09
0.9924321.7480527.901449e-09
0.997791.7479327.944106e-09
11.7478837.961700e-09
1.003181.7478127.986996e-09
1.008591.7476948.030120e-09
1.014041.7475758.073477e-09
1.019511.7474578.117068e-09
1.025021.7473398.160894e-09
1.030551.7472228.204957e-09
1.036121.7471048.249258e-09
1.041711.7469888.293797e-09
1.047331.7468718.338578e-09
1.052991.7467558.383600e-09
1.058671.7466398.428865e-09
1.064391.7465238.474375e-09
1.070141.7464078.520130e-09
1.075911.7462928.566133e-09
1.081721.7461778.612384e-09
1.087561.7460628.658884e-09
1.093441.7459478.705636e-09
1.099341.7458338.752640e-09
1.105271.7457188.799897e-09
1.111241.7456048.847410e-09
1.117241.745498.895180e-09
1.123271.7453758.943207e-09
1.129341.7452618.991493e-09
1.135441.7451489.040041e-09
1.141571.7450349.088850e-09
1.147731.744929.137923e-09
1.153931.7448069.187261e-09
1.160161.7446929.236865e-09
1.166421.7445789.286737e-09
1.172721.7444659.336879e-09
1.179051.7443519.387291e-09
1.185421.7442379.437975e-09
1.191821.7441239.488933e-09
1.198251.7440099.540166e-09
1.21.7439789.554100e-09
1.204721.7438951.011851e-08
1.211221.7437811.089640e-08
1.217761.7436661.167849e-08
1.224341.7435521.246479e-08
1.230951.7434371.325535e-08
1.237591.7433231.405017e-08
1.244281.7432081.484928e-08
1.250991.7430931.565271e-08
1.257751.7429771.646048e-08
1.264541.7428621.727260e-08
1.271371.7427461.808912e-08
1.278231.742631.891004e-08
1.285131.7425141.973539e-08
1.292071.7423972.056520e-08
1.299051.742282.139949e-08
1.306061.7421632.223828e-08
1.313111.7420462.308160e-08
1.32021.7419282.392948e-08
1.327331.741812.478193e-08
1.33451.7416922.563898e-08
1.34171.7415732.650066e-08
1.348941.7414532.736700e-08
1.356231.7413342.823801e-08
1.363551.7412142.911373e-08
1.370911.7410932.999417e-08
1.378311.7409723.087937e-08
1.385751.7408513.176934e-08
1.393241.7407293.266412e-08
1.41.7406193.347300e-08
1.400761.7406063.353961e-08
1.408321.7404833.420358e-08
1.415931.740363.487114e-08
1.423571.7402363.554231e-08
1.431261.7401113.621710e-08
1.438981.7399863.689553e-08
1.446751.739863.757762e-08
1.454561.7397343.826340e-08
1.462421.7396073.895288e-08
1.470311.7394793.964608e-08
1.478251.7393514.034303e-08
1.486231.7392224.104373e-08
1.494261.7390924.174822e-08
1.502321.7389614.245652e-08
1.510431.738834.316864e-08
1.518591.7386984.388460e-08
1.526791.7385654.460443e-08
1.535031.7384324.532814e-08
1.543321.7382984.605577e-08
1.551651.7381624.678732e-08
1.560031.7380264.752282e-08
1.568451.737894.826229e-08
1.576921.7377524.900576e-08
1.585431.7376134.975323e-08
1.593991.7374745.050475e-08
1.61.7373765.103200e-08
1.60261.7373335.261704e-08
1.611251.7371925.789068e-08
1.619951.7370496.319280e-08
1.62871.7369066.852354e-08
1.637491.7367617.388307e-08
1.646331.7366167.927153e-08
1.655221.736478.468908e-08
1.664161.7363229.013589e-08
1.673141.7361739.561210e-08
1.682181.7360241.011179e-07
1.691261.7358731.066534e-07
1.700391.7357211.122188e-07
1.709571.7355671.178142e-07
1.71881.7354131.234399e-07
1.728081.7352571.290959e-07
1.737411.73511.347824e-07
1.746791.7349421.404997e-07
1.756221.7347831.462478e-07
1.76571.7346221.520270e-07
1.775241.734461.578374e-07
1.784821.7342961.636791e-07
1.794461.7341321.695524e-07
1.81.7340371.729300e-07
1.804151.7339651.817854e-07
1.813891.7337982.025872e-07
1.823681.7336292.235013e-07
1.833531.7334582.445283e-07
1.843431.7332862.656689e-07
1.853381.7331132.869235e-07
1.863391.7329383.082930e-07
1.873451.7327613.297778e-07
1.883561.7325833.513786e-07
1.893731.7324033.730960e-07
1.903951.7322213.949307e-07
1.914231.7320384.168833e-07
1.924571.7318534.389543e-07
1.934961.7316664.611446e-07
1.945411.7314784.834547e-07
1.955911.7312885.058852e-07
1.966471.7310965.284368e-07
1.977091.7309025.511102e-07
1.987761.7307065.739060e-07
1.998491.7305095.968248e-07
21.7304816.000400e-07
2.009281.7303096.533124e-07
2.020131.7301087.155576e-07
2.031041.7299047.781389e-07
2.042011.7296998.410580e-07
2.053031.7294919.043169e-07
2.064111.7292819.679172e-07
2.075261.729071.031861e-06
2.086461.7288561.096150e-06
2.097731.728641.160786e-06
2.109051.7284211.225771e-06
2.120441.7282011.291107e-06
2.131891.7279781.356796e-06
2.14341.7277531.422839e-06
2.154971.7275251.489239e-06
2.166611.7272951.555997e-06
2.17831.7270631.623116e-06
2.190071.7268281.690598e-06
2.21.7266291.747600e-06
2.201891.7265911.803358e-06
2.213781.7263512.154118e-06
2.225731.7261092.506772e-06
2.237751.7258642.861330e-06
2.249831.7256163.217802e-06
2.261981.7253663.576198e-06
2.274191.7251123.936530e-06
2.286471.7248564.298807e-06
2.298811.7245984.663041e-06
2.311221.7243365.029240e-06
2.32371.7240725.397417e-06
2.336251.7238045.767582e-06
2.348861.7235346.139745e-06
2.361541.723266.513918e-06
2.374291.7229846.890110e-06
2.387111.7227047.268334e-06
2.41.7224217.648600e-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
—