Optical constants

Refractive index of L-LAH87 (OHARA)

L-LAH87: 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
1.7703
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.13395
Permittivity ε2
1.65639e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
47.402
Chromatic dispersion dn/dλ
-0.0833983 µm⁻¹
Group index ng
1.8193
Group velocity dispersion
152.906 fs²/mm
Dispersion parameter D
-834.184 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-LAH87 (OHARA): L-LAH87
ohara_l_lah87 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAH87", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lah87.range_nm)  # (365, 2325) nm
eps = ohara_l_lah87.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=1.44196269λ2λ2−0.00731826717+0.617507311λ2λ2−0.0245370775+1.21890079λ2λ2−105.976009

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.44196269
C30.00731826717
C40.617507311
C50.0245370775
C61.21890079
C7105.976009

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 6.1e-06 9.05e-09 -1.35e-11 7.87e-07 7.19e-10 0.19
nd
1.770300
Vd
47.401904
glass status
preferred
density
value: 4340
thermal expansion
value: 7.1e-06, temperature range: 243 343
dPgF
-0.0086
resistance
acid: 51.2; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.96e-06 K⁻¹ at 633 nm, dn/dT = 3.86e-06 K⁻¹ at 1310 nm, dn/dT = 3.77e-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 422 wavelengths, the same grid as the API and the library
L-LAH87 (OHARA), L-LAH87: n and k versus wavelength
λ (µm)nk
0.3651.8113962.404450e-07
0.3666981.8107312.195985e-07
0.3684031.8100741.986550e-07
0.371.8094691.790500e-07
0.3701171.8094251.782527e-07
0.3718381.8087831.665153e-07
0.3735681.8081491.547233e-07
0.3753061.8075221.428764e-07
0.3770511.8069021.309744e-07
0.3788051.806291.190171e-07
0.381.8058791.108700e-07
0.3805671.8056851.086782e-07
0.3823371.8050871.018357e-07
0.3841161.8044959.496142e-08
0.3859021.8039118.805514e-08
0.3876971.8033338.111672e-08
0.38951.8027617.414604e-08
0.391.8026057.221500e-08
0.3913121.8021976.947604e-08
0.3931321.8016386.567672e-08
0.3949611.8010866.185973e-08
0.3967981.800545.802498e-08
0.3986441.8000015.417239e-08
0.41.799615.134100e-08
0.4004981.7994675.081520e-08
0.4023611.798944.884756e-08
0.4042321.7984184.687078e-08
0.4061121.7979024.488480e-08
0.4080011.7973924.288958e-08
0.4098991.7968874.088508e-08
0.4118061.7963883.887126e-08
0.4137211.7958953.684808e-08
0.4156451.7954073.481548e-08
0.4175791.7949243.277342e-08
0.4195211.7944473.072187e-08
0.421.7943313.021600e-08
0.4214721.7939752.954282e-08
0.4234331.7935082.864652e-08
0.4254021.7930462.774605e-08
0.4273811.792592.684140e-08
0.4293691.7921382.593254e-08
0.4313661.7916912.501944e-08
0.4333721.7912492.410211e-08
0.4353881.7908112.318050e-08
0.4374131.7903782.225461e-08
0.4394481.789952.132441e-08
0.441.7898352.107200e-08
0.4414921.7895272.059458e-08
0.4435451.7891081.993745e-08
0.4456091.7886931.927727e-08
0.4476811.7882831.861401e-08
0.4497641.7878781.794767e-08
0.4518561.7874761.727823e-08
0.4539571.7870791.660568e-08
0.4560691.7866861.593000e-08
0.458191.7862971.525117e-08
0.461.785971.467200e-08
0.4603211.7859121.455915e-08
0.4624621.7855311.380710e-08
0.4646131.7851541.305155e-08
0.4667751.7847811.229249e-08
0.4689461.7844121.152989e-08
0.4711271.7840471.076375e-08
0.4733181.7836859.994040e-09
0.475521.7833289.220753e-09
0.4777321.7829748.443869e-09
0.4799541.7826237.663372e-09
0.481.7826167.647100e-09
0.4821861.7822767.246367e-09
0.4844291.7819336.835238e-09
0.4866821.7815936.422197e-09
0.4889461.7812576.007234e-09
0.491221.7809245.590342e-09
0.4935051.7805955.171510e-09
0.49581.7802684.750730e-09
0.4981071.7799454.327993e-09
0.51.7796843.980900e-09
0.5004231.7796263.984271e-09
0.5027511.7793094.002804e-09
0.5050891.7789964.021422e-09
0.5074391.7786864.040128e-09
0.5097991.7783794.058920e-09
0.512171.7780754.077800e-09
0.5145531.7777744.096768e-09
0.5169461.7774764.115824e-09
0.519351.7771814.134968e-09
0.5217661.7768894.154202e-09
0.5241931.7765994.173525e-09
0.5266311.7763134.192938e-09
0.5290811.7760294.212441e-09
0.5315421.7757484.232035e-09
0.5340141.775474.251720e-09
0.5364981.7751954.271496e-09
0.5389931.7749224.291365e-09
0.54151.7746524.311326e-09
0.5440191.7743854.331380e-09
0.5465491.774124.351527e-09
0.5490921.7738574.371768e-09
0.551.7737654.379000e-09
0.5516461.7735984.392100e-09
0.5542121.773344.412524e-09
0.5567891.7730854.433044e-09
0.5593791.7728334.453658e-09
0.5619811.7725834.474369e-09
0.5645951.7723354.495176e-09
0.5672211.772094.516080e-09
0.5698591.7718474.537081e-09
0.572511.7716064.558180e-09
0.5751731.7713674.579377e-09
0.5778481.7711314.600673e-09
0.5805361.7708974.622067e-09
0.5832361.7706654.643561e-09
0.5859491.7704354.665156e-09
0.5886751.7702084.686850e-09
0.5914131.7699824.708645e-09
0.5941641.7697594.730542e-09
0.5969271.7695374.752541e-09
0.5997041.7693184.774642e-09
0.61.7692954.777000e-09
0.6024931.76914.796851e-09
0.6052961.7688854.819163e-09
0.6081111.7686724.841580e-09
0.610941.768464.864101e-09
0.6137811.768254.886726e-09
0.6166361.7680434.909457e-09
0.6195041.7678374.932293e-09
0.6223861.7676334.955236e-09
0.6252811.7674314.978285e-09
0.6281891.767235.001442e-09
0.6311111.7670315.024706e-09
0.6340471.7668355.048079e-09
0.6369961.7666395.071560e-09
0.6399591.7664465.095150e-09
0.6429351.7662545.118850e-09
0.6459261.7660645.142661e-09
0.648931.7658765.166582e-09
0.651.7658095.175100e-09
0.6519491.7656895.190614e-09
0.6549811.7655035.214758e-09
0.6580281.765325.239015e-09
0.6610881.7651385.263384e-09
0.6641631.7649575.287867e-09
0.6672521.7647785.312464e-09
0.6703561.7646015.337174e-09
0.6734741.7644255.362000e-09
0.6766071.764255.386942e-09
0.6797541.7640775.411999e-09
0.6829151.7639065.437173e-09
0.6860921.7637355.462464e-09
0.6892831.7635675.487873e-09
0.6924891.7633995.513400e-09
0.695711.7632335.539045e-09
0.6989461.7630685.564810e-09
0.71.7630155.573200e-09
0.7021971.7629055.590695e-09
0.7054631.7627435.616700e-09
0.7087451.7625825.642826e-09
0.7120411.7624235.669073e-09
0.7153531.7622655.695443e-09
0.7186811.7621085.721935e-09
0.7220231.7619525.748551e-09
0.7253821.7617985.775290e-09
0.7287561.7616445.802154e-09
0.7321461.7614925.829143e-09
0.7355511.7613415.856257e-09
0.7389721.7611915.883497e-09
0.7424091.7610435.910864e-09
0.7458631.7608955.938358e-09
0.7493321.7607495.965981e-09
0.7528171.7606045.993731e-09
0.7563191.760466.021611e-09
0.7598371.7603166.049621e-09
0.7633711.7601746.077760e-09
0.7669221.7600336.106031e-09
0.7704891.7598936.134433e-09
0.7740731.7597546.162967e-09
0.7776731.7596166.191634e-09
0.781291.7594796.220434e-09
0.7849241.7593436.249369e-09
0.7885751.7592086.278437e-09
0.7922431.7590746.307641e-09
0.7959281.7589416.336981e-09
0.799631.7588096.366458e-09
0.81.7587966.369400e-09
0.803351.7586776.396071e-09
0.8070861.7585476.425822e-09
0.810841.7584176.455712e-09
0.8146121.7582896.485740e-09
0.8184011.7581616.515909e-09
0.8222081.7580346.546217e-09
0.8260321.7579086.576667e-09
0.8298741.7577826.607258e-09
0.8337341.7576586.637991e-09
0.8376121.7575346.668868e-09
0.8415081.7574116.699888e-09
0.8454221.7572896.731052e-09
0.8493551.7571676.762361e-09
0.8533051.7570466.793816e-09
0.8572741.7569266.825418e-09
0.8612621.7568076.857166e-09
0.8652681.7566896.889062e-09
0.8692921.7565716.921106e-09
0.8733361.7564546.953299e-09
0.8773981.7563376.985642e-09
0.8814791.7562217.018136e-09
0.8855791.7561067.050780e-09
0.8896981.7559927.083577e-09
0.8938361.7558787.116526e-09
0.8979941.7557657.149628e-09
0.91.755717.165600e-09
0.9021711.7556527.182882e-09
0.9063671.755547.216289e-09
0.9105831.7554297.249851e-09
0.9148181.7553187.283569e-09
0.9190731.7552077.317444e-09
0.9233481.7550987.351476e-09
0.9276431.7549887.385667e-09
0.9319581.754887.420017e-09
0.9362931.7547727.454527e-09
0.9406481.7546647.489197e-09
0.9450231.7545577.524029e-09
0.9494191.754457.559022e-09
0.9538351.7543447.594178e-09
0.9582711.7542397.629498e-09
0.9627291.7541337.664982e-09
0.9672071.7540297.700631e-09
0.9717051.7539247.736446e-09
0.9762251.7538217.772428e-09
0.9807661.7537177.808577e-09
0.9853281.7536147.844894e-09
0.9899111.7535127.881380e-09
0.9945151.753417.918035e-09
0.9991411.7533087.954861e-09
11.7532897.961700e-09
1.003791.7532067.991863e-09
1.008461.7531058.029037e-09
1.013151.7530058.066384e-09
1.017861.7529048.103905e-09
1.022591.7528048.141600e-09
1.027351.7527058.179471e-09
1.032131.7526058.217518e-09
1.036931.7525068.255741e-09
1.041751.7524088.294143e-09
1.04661.7523098.332723e-09
1.051471.7522118.371483e-09
1.056361.7521138.410423e-09
1.061271.7520168.449544e-09
1.066211.7519198.488847e-09
1.071171.7518218.528333e-09
1.076151.7517258.568002e-09
1.081151.7516288.607856e-09
1.086181.7515328.647895e-09
1.091241.7514368.688121e-09
1.096311.751348.728534e-09
1.101411.7512448.769134e-09
1.106531.7511488.809924e-09
1.111681.7510538.850903e-09
1.116851.7509588.892073e-09
1.122051.7508638.933434e-09
1.127271.7507688.974988e-09
1.132511.7506739.016735e-09
1.137781.7505799.058676e-09
1.143071.7504849.100813e-09
1.148391.750399.143145e-09
1.153731.7502959.185674e-09
1.159091.7502019.228401e-09
1.164481.7501079.271327e-09
1.16991.7500139.314452e-09
1.175341.7499199.357778e-09
1.180811.7498259.401306e-09
1.18631.7497329.445036e-09
1.191821.7496389.488969e-09
1.197361.7495449.533107e-09
1.21.74959.554100e-09
1.202931.7494519.577443e-09
1.208531.7493579.621978e-09
1.214151.7492639.666720e-09
1.21981.749179.711671e-09
1.225471.7490769.756831e-09
1.231171.7489829.802200e-09
1.23691.7488899.847781e-09
1.242651.7487959.893574e-09
1.248431.7487019.939579e-09
1.254241.7486079.985799e-09
1.260071.7485141.003223e-08
1.265931.748421.007888e-08
1.271821.7483261.012575e-08
1.277741.7482321.017284e-08
1.283681.7481371.022014e-08
1.289651.7480431.026767e-08
1.295651.7479491.031541e-08
1.301671.7478541.036338e-08
1.307731.747761.041157e-08
1.313811.7476651.045999e-08
1.319921.747571.050863e-08
1.326061.7474751.055749e-08
1.332231.747381.060659e-08
1.338431.7472841.065591e-08
1.344651.7471891.070546e-08
1.350911.7470931.075524e-08
1.357191.7469971.080526e-08
1.36351.7469011.085550e-08
1.369851.7468041.090598e-08
1.376221.7467081.095670e-08
1.382621.7466111.100765e-08
1.389051.7465141.105884e-08
1.395511.7464161.111026e-08
1.41.7463491.114600e-08
1.4021.7463191.116194e-08
1.408521.7462211.121388e-08
1.415071.7461231.126606e-08
1.421661.7460241.131849e-08
1.428271.7459261.137116e-08
1.434911.7458271.142407e-08
1.441591.7457271.147723e-08
1.448291.7456271.153064e-08
1.455031.7455271.158429e-08
1.46181.7454271.163820e-08
1.468591.7453261.169236e-08
1.475431.7452251.174677e-08
1.482291.7451241.180143e-08
1.489181.7450221.185634e-08
1.496111.7449191.191151e-08
1.503071.7448171.196694e-08
1.510061.7447141.202263e-08
1.517081.744611.207857e-08
1.524141.7445061.213478e-08
1.531231.7444021.219124e-08
1.538351.7442971.224797e-08
1.545511.7441921.230496e-08
1.55271.7440861.236222e-08
1.559921.743981.241974e-08
1.567171.7438731.247754e-08
1.574461.7437651.253560e-08
1.581791.7436581.259393e-08
1.589141.7435491.265253e-08
1.596541.743441.271140e-08
1.61.7433891.273900e-08
1.603961.7433311.362378e-08
1.611421.7432211.529017e-08
1.618921.7431111.696431e-08
1.626451.7429991.864624e-08
1.634011.7428882.033599e-08
1.641611.7427752.203360e-08
1.649251.7426622.373910e-08
1.656921.7425492.545254e-08
1.664631.7424352.717395e-08
1.672371.742322.890337e-08
1.680151.7422043.064083e-08
1.687961.7420883.238637e-08
1.695811.7419713.414003e-08
1.70371.7418543.590184e-08
1.711631.7417353.767186e-08
1.719591.7416173.945010e-08
1.727591.7414974.123662e-08
1.735621.7413764.303144e-08
1.743691.7412554.483462e-08
1.751811.7411334.664618e-08
1.759951.741014.846616e-08
1.768141.7408875.029462e-08
1.776361.7407635.213157e-08
1.784631.7406375.397708e-08
1.792931.7405115.583116e-08
1.81.7404045.741100e-08
1.801271.7403855.908351e-08
1.809641.7402577.014825e-08
1.818061.7401288.126446e-08
1.826521.7399999.243237e-08
1.835011.7398691.036522e-07
1.843551.7397381.149243e-07
1.852121.7396051.262487e-07
1.860741.7394721.376259e-07
1.869391.7393381.490560e-07
1.878091.7392031.605392e-07
1.886821.7390671.720758e-07
1.89561.738931.836661e-07
1.904421.7387921.953104e-07
1.913281.7386532.070087e-07
1.922181.7385132.187615e-07
1.931121.7383722.305690e-07
1.94011.738232.424314e-07
1.949121.7380872.543489e-07
1.958191.7379432.663219e-07
1.96731.7377972.783506e-07
1.976451.7376512.904352e-07
1.985641.7375033.025760e-07
1.994881.7373543.147733e-07
21.7372723.215400e-07
2.004161.7372053.335159e-07
2.013481.7370533.603842e-07
2.022841.7369013.873775e-07
2.032251.7367474.144963e-07
2.04171.7365934.417413e-07
2.05121.7364374.691130e-07
2.060741.7362794.966120e-07
2.070331.7361215.242389e-07
2.079961.7359615.519943e-07
2.089631.7357995.798788e-07
2.099351.7356376.078930e-07
2.109121.7354736.360376e-07
2.118931.7353076.643130e-07
2.128781.7351416.927199e-07
2.138681.7349737.212590e-07
2.148631.7348037.499308e-07
2.158621.7346327.787360e-07
2.168671.734468.076752e-07
2.178751.7342868.367489e-07
2.188891.734118.659579e-07
2.199071.7339338.953028e-07
2.21.7339178.979900e-07
2.20931.7337551.032419e-06
2.219571.7335751.181018e-06
2.22991.7333931.330308e-06
2.240271.733211.480293e-06
2.250691.7330251.630975e-06
2.261161.7328381.782358e-06
2.271671.732651.934445e-06
2.282241.732462.087240e-06
2.292861.7322682.240745e-06
2.303521.7320752.394965e-06
2.314241.731882.549901e-06
2.3251.7316832.705559e-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
—