Optical constants

Refractive index of L-LAH84P (OHARA)

L-LAH84P: 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
1.81225
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.28424
Permittivity ε2
3.39301e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
40.294
Chromatic dispersion dn/dλ
-0.102824 µm⁻¹
Group index ng
1.87267
Group velocity dispersion
194.519 fs²/mm
Dispersion parameter D
-1061.21 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-LAH84P (OHARA): L-LAH84P
ohara_l_lah84p = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-LAH84P", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_lah84p.range_nm)  # (365.015, 2325.42) nm
eps = ohara_l_lah84p.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=1.83485816λ2λ2−0.009788482+0.355717498λ2λ2−0.03837087+1.37757002λ2λ2−109.71692

Valid from 0.365015 to 2.32542 µm.

Coefficients as stored
CiValue
C10.0
C21.83485816
C30.009788482
C40.355717498
C50.03837087
C61.37757002
C7109.71692

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 8.14e-06 9.68e-09 -3.1e-12 8.24e-07 8.84e-10 0.23
nd
1.812250
Vd
40.294279
density
value: 4620
thermal expansion
value: 6.4e-06, temperature range: 243 343
dPgF
-0.0066
resistance
acid: 51.3; climatic: 2.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 6.59e-06 K⁻¹ at 633 nm, dn/dT = 5.29e-06 K⁻¹ at 1310 nm, dn/dT = 5.18e-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-LAH84P (OHARA), L-LAH84P: n and k versus wavelength
λ (µm)nk
0.3650151.8650125.975558e-07
0.3667131.8641215.336863e-07
0.3684191.8632414.695197e-07
0.371.862444.100400e-07
0.3701331.8623734.078602e-07
0.3718541.8615163.795428e-07
0.3735841.8606713.510936e-07
0.3753221.8598373.225122e-07
0.3770681.8590142.937977e-07
0.3788221.8582022.649497e-07
0.381.8576642.455700e-07
0.3805841.85742.405267e-07
0.3823541.8566082.252344e-07
0.3841331.8558272.098709e-07
0.385921.8550561.944360e-07
0.3877151.8542941.789293e-07
0.3895181.8535421.633504e-07
0.391.8533441.591900e-07
0.391331.85281.530987e-07
0.3931511.8520671.447633e-07
0.3949791.8513441.363892e-07
0.3968171.8506291.279761e-07
0.3986631.8499231.195239e-07
0.41.8494191.134000e-07
0.4005171.8492261.123021e-07
0.402381.8485381.083464e-07
0.4042521.8478581.043722e-07
0.4061321.8471861.003795e-07
0.4080221.8465239.636828e-08
0.409921.8458679.233838e-08
0.4118261.845228.828973e-08
0.4137421.8445818.422226e-08
0.4156671.8439498.013586e-08
0.41761.8433247.603045e-08
0.4195431.8427087.190594e-08
0.421.8425647.093500e-08
0.4214941.8420986.958895e-08
0.4234551.8414966.782279e-08
0.4254251.8409016.604841e-08
0.4274041.8403136.426578e-08
0.4293921.8397326.247486e-08
0.4313891.8391586.067561e-08
0.4333961.838595.886798e-08
0.4354121.8380295.705195e-08
0.4374371.8374745.522748e-08
0.4394721.8369265.339451e-08
0.441.8367865.291900e-08
0.4415161.8363855.169609e-08
0.443571.8358495.003981e-08
0.4456341.835324.837582e-08
0.4477061.8347964.670410e-08
0.4497891.8342794.502459e-08
0.4518811.8337674.333728e-08
0.4539831.8332624.164211e-08
0.4560951.8327623.993906e-08
0.4582171.8322673.822809e-08
0.461.8318583.679000e-08
0.4603481.8317783.661661e-08
0.462491.8312953.555041e-08
0.4646411.8308173.447925e-08
0.4668021.8303443.340311e-08
0.4689741.8298773.232196e-08
0.4711551.8294153.123578e-08
0.4733471.8289573.014455e-08
0.4755491.8285052.904825e-08
0.4777611.8280582.794684e-08
0.4799831.8276162.684031e-08
0.481.8276132.683200e-08
0.4822161.8271782.562593e-08
0.4844591.8267462.440511e-08
0.4867131.8263182.317862e-08
0.4889771.8258942.194642e-08
0.4912511.8254752.070848e-08
0.4935361.8250611.946479e-08
0.4958321.8246511.821532e-08
0.4981391.8242461.696003e-08
0.51.8239231.594700e-08
0.5004561.8238441.588150e-08
0.5027841.8234481.554698e-08
0.5051231.8230551.521091e-08
0.5074721.8226661.487328e-08
0.5098331.8222821.453408e-08
0.5122041.8219011.419329e-08
0.5145871.8215251.385093e-08
0.5169811.8211521.350697e-08
0.5193861.8207841.316141e-08
0.5218021.8204191.281424e-08
0.5242291.8200581.246546e-08
0.5266671.8197011.211505e-08
0.5291171.8193471.176302e-08
0.5315791.8189971.140935e-08
0.5340511.8186511.105403e-08
0.5365361.8183081.069706e-08
0.5390311.8179691.033843e-08
0.5415391.8176339.978132e-09
0.5440581.8173019.616158e-09
0.5465891.8169729.252499e-09
0.5491311.8166468.887149e-09
0.551.8165368.762300e-09
0.5516861.8163248.789154e-09
0.5542521.8160048.830040e-09
0.556831.8156888.871116e-09
0.559421.8153758.912383e-09
0.5620221.8150668.953841e-09
0.5646371.8147598.995493e-09
0.5672631.8144559.037339e-09
0.5699021.8141559.079379e-09
0.5725531.8138579.121615e-09
0.5752161.8135629.164047e-09
0.5778921.8132719.206677e-09
0.580581.8129829.249505e-09
0.5832811.8126959.292532e-09
0.5859941.8124129.335759e-09
0.588721.8121319.379187e-09
0.5914591.8118549.422818e-09
0.594211.8115789.466651e-09
0.5969741.8113069.510688e-09
0.5997511.8110369.554931e-09
0.61.8110129.558900e-09
0.6025411.8107689.599353e-09
0.6053441.8105039.643980e-09
0.6081591.8102419.688814e-09
0.6109881.8099819.733857e-09
0.613831.8097249.779109e-09
0.6166861.8094699.824572e-09
0.6195541.8092169.870246e-09
0.6224361.8089669.916133e-09
0.6253321.8087189.962233e-09
0.6282411.8084721.000855e-08
0.6311631.8082291.005508e-08
0.6340991.8079881.010182e-08
0.6370491.8077491.014879e-08
0.6400121.8075121.019597e-08
0.6429891.8072781.024337e-08
0.645981.8070451.029099e-08
0.6489851.8068151.033884e-08
0.651.8067381.035500e-08
0.6520041.8065871.016336e-08
0.6550371.806369.873305e-09
0.6580841.8061369.581900e-09
0.6611451.8059149.289140e-09
0.664221.8056948.995017e-09
0.667311.8054768.699527e-09
0.6704141.805268.402662e-09
0.6735331.8050458.104416e-09
0.6766661.8048337.804782e-09
0.6798141.8046227.503755e-09
0.6829761.8044137.201328e-09
0.6861531.8042066.897493e-09
0.6893451.8040016.592246e-09
0.6925511.8037986.285578e-09
0.6957731.8035965.977484e-09
0.6990091.8033965.667957e-09
0.71.8033365.573200e-09
0.7022611.8031985.591200e-09
0.7055271.8030015.617210e-09
0.7088091.8028075.643340e-09
0.7121061.8026135.669592e-09
0.7154191.8024225.695966e-09
0.7187471.8022325.722463e-09
0.722091.8020435.749083e-09
0.7254491.8018565.775827e-09
0.7288241.8016715.802695e-09
0.7322141.8014875.829688e-09
0.735621.8013045.856807e-09
0.7390421.8011235.884052e-09
0.742481.8009445.911423e-09
0.7459331.8007665.938922e-09
0.7494031.8005895.966549e-09
0.7528891.8004145.994305e-09
0.7563921.800246.022189e-09
0.759911.8000686.050203e-09
0.7634451.7998976.078348e-09
0.7669961.7997276.106623e-09
0.7705641.7995586.135030e-09
0.7741481.7993916.163570e-09
0.777751.7992256.192242e-09
0.7813671.7990616.221047e-09
0.7850021.7988976.249986e-09
0.7886541.7987356.279060e-09
0.7923221.7985746.308269e-09
0.7960081.7984146.337614e-09
0.7997111.7982566.367096e-09
0.81.7982436.369400e-09
0.8034311.7980986.396714e-09
0.8071681.7979426.426471e-09
0.8109231.7977876.456365e-09
0.8146951.7976336.486399e-09
0.8184841.797486.516573e-09
0.8222921.7973286.546887e-09
0.8261171.7971776.577342e-09
0.829961.7970276.607938e-09
0.833821.7968786.638677e-09
0.8376991.796736.669559e-09
0.8415961.7965846.700585e-09
0.8455111.7964386.731755e-09
0.8494441.7962936.763070e-09
0.8533951.7961496.794530e-09
0.8573651.7960066.826137e-09
0.8613531.7958646.857891e-09
0.865361.7957236.889793e-09
0.8693851.7955836.921843e-09
0.8734291.7954446.954042e-09
0.8774921.7953056.986391e-09
0.8815741.7951687.018890e-09
0.8856751.7950317.051541e-09
0.8897941.7948957.084343e-09
0.8939331.794767.117298e-09
0.8980921.7946267.150407e-09
0.91.7945657.165600e-09
0.9022691.7944937.183667e-09
0.9064661.794367.217080e-09
0.9106831.7942287.250648e-09
0.9149191.7940977.284372e-09
0.9191751.7939677.318254e-09
0.9234511.7938377.352293e-09
0.9277471.7937087.386490e-09
0.9320621.793587.420846e-09
0.9363981.7934527.455362e-09
0.9407541.7933257.490039e-09
0.945131.7931997.524877e-09
0.9495261.7930747.559877e-09
0.9539431.7929497.595040e-09
0.958381.7928247.630367e-09
0.9628391.7927017.665857e-09
0.9673171.7925787.701513e-09
0.9718171.7924557.737335e-09
0.9763381.7923337.773323e-09
0.9808791.7922127.809479e-09
0.9854421.7920917.845803e-09
0.9900261.7919717.882296e-09
0.9946311.7918517.918959e-09
0.9992581.7917327.955792e-09
11.7917137.961700e-09
1.003911.7916147.992800e-09
1.008581.7914958.029982e-09
1.013271.7913788.067336e-09
1.017981.7912618.104864e-09
1.022721.7911448.142567e-09
1.027471.7910288.180445e-09
1.032251.7909128.218499e-09
1.037051.7907978.256730e-09
1.041881.7906828.295139e-09
1.046731.7905678.333727e-09
1.051591.7904538.372494e-09
1.056491.7903398.411442e-09
1.06141.7902268.450571e-09
1.066341.7901138.489881e-09
1.07131.798.529375e-09
1.076281.7898888.569052e-09
1.081291.7897768.608914e-09
1.086321.7896658.648962e-09
1.091371.7895538.689195e-09
1.096451.7894428.729616e-09
1.101551.7893328.770225e-09
1.106671.7892218.811022e-09
1.111821.7891118.852010e-09
1.116991.7890018.893188e-09
1.122191.7888928.934558e-09
1.127411.7887828.976120e-09
1.132651.7886739.017875e-09
1.137921.7885649.059825e-09
1.143211.7884569.101970e-09
1.148531.7883479.144311e-09
1.153871.7882399.186848e-09
1.159241.7881319.229584e-09
1.164631.7880239.272519e-09
1.170051.7879159.315653e-09
1.175491.7878089.358988e-09
1.180961.78779.402524e-09
1.186461.7875939.446263e-09
1.191981.7874869.490205e-09
1.197521.7873789.534352e-09
1.21.7873319.554100e-09
1.203091.7872719.751101e-09
1.208691.7871641.010787e-08
1.214311.7870581.046629e-08
1.219961.7869511.082639e-08
1.225631.7868441.118816e-08
1.231331.7867381.155161e-08
1.237061.7866311.191675e-08
1.242821.7865241.228359e-08
1.24861.7864181.265214e-08
1.254411.7863111.302240e-08
1.260241.7862051.339439e-08
1.26611.7860981.376810e-08
1.271991.7859921.414356e-08
1.277911.7858851.452075e-08
1.283851.7857781.489971e-08
1.289831.7856721.528043e-08
1.295831.7855651.566291e-08
1.301851.7854581.604718e-08
1.307911.7853511.643324e-08
1.313991.7852441.682109e-08
1.320111.7851371.721074e-08
1.326251.785031.760221e-08
1.332421.7849231.799550e-08
1.338611.7848151.839061e-08
1.344841.7847081.878757e-08
1.35111.78461.918637e-08
1.357381.7844921.958703e-08
1.363691.7843841.998955e-08
1.370041.7842762.039394e-08
1.376411.7841682.080022e-08
1.382811.7840592.120838e-08
1.389251.783952.161844e-08
1.395711.7838412.203041e-08
1.41.7837692.230400e-08
1.40221.7837322.247953e-08
1.408721.7836222.299973e-08
1.415281.7835132.352236e-08
1.421861.7834032.404742e-08
1.428471.7832922.457493e-08
1.435121.7831822.510488e-08
1.441791.7830712.563730e-08
1.44851.782962.617220e-08
1.455241.7828482.670959e-08
1.462011.7827362.724948e-08
1.468811.7826242.779187e-08
1.475641.7825122.833679e-08
1.482511.7823992.888425e-08
1.48941.7822862.943425e-08
1.496331.7821722.998681e-08
1.503291.7820583.054194e-08
1.510281.7819443.109966e-08
1.517311.7818293.165996e-08
1.524371.7817143.222288e-08
1.531461.7815983.278841e-08
1.538581.7814823.335657e-08
1.545741.7813653.392738e-08
1.552931.7812483.450084e-08
1.560151.7811313.507697e-08
1.567411.7810133.565578e-08
1.57471.7808943.623728e-08
1.582031.7807753.682148e-08
1.589391.7806563.740841e-08
1.596781.7805363.799806e-08
1.61.7804833.825500e-08
1.604211.7804153.987004e-08
1.611671.7802944.273535e-08
1.619171.7801724.561400e-08
1.62671.780054.850604e-08
1.634261.7799275.141153e-08
1.641871.7798035.433054e-08
1.64951.7796795.726313e-08
1.657181.7795546.020935e-08
1.664891.7794296.316928e-08
1.672631.7793036.614299e-08
1.680411.7791766.913052e-08
1.688231.7790497.213195e-08
1.696081.778927.514734e-08
1.703971.7787927.817676e-08
1.71191.7786628.122027e-08
1.719861.7785328.427794e-08
1.727861.7784018.734983e-08
1.73591.7782699.043601e-08
1.743971.7781369.353655e-08
1.752081.7780039.665151e-08
1.760231.7778699.978095e-08
1.768421.7777341.029250e-07
1.776651.7775981.060836e-07
1.784911.7774611.092569e-07
1.793221.7773241.124450e-07
1.81.7772121.150500e-07
1.801561.7771861.172916e-07
1.809941.7770461.293550e-07
1.818361.7769061.414745e-07
1.826821.7767651.536504e-07
1.835311.7766231.658829e-07
1.843851.776481.781723e-07
1.852431.7763371.905189e-07
1.861041.7761922.029229e-07
1.86971.7760462.153847e-07
1.87841.7758992.279044e-07
1.887141.7757512.404823e-07
1.895911.7756032.531187e-07
1.904731.7754532.658140e-07
1.913591.7753022.785683e-07
1.92251.775152.913819e-07
1.931441.7749973.042551e-07
1.940421.7748423.171882e-07
1.949451.7746873.301814e-07
1.958521.7745313.432351e-07
1.967631.7743733.563495e-07
1.976781.7742143.695250e-07
1.985981.7740543.827617e-07
1.995211.7738933.960599e-07
21.7738094.029500e-07
2.004491.7737314.174015e-07
2.013821.7735674.473814e-07
2.023191.7734024.775007e-07
2.03261.7732365.077601e-07
2.042051.7730685.381603e-07
2.051551.7728995.687019e-07
2.061091.7727295.993855e-07
2.070681.7725586.302119e-07
2.080311.7723856.611817e-07
2.089991.7722116.922956e-07
2.099711.7720357.235542e-07
2.109481.7718587.549582e-07
2.119291.771687.865082e-07
2.129151.77158.182050e-07
2.139061.7713188.500493e-07
2.149011.7711358.820417e-07
2.1591.7709519.141829e-07
2.169051.7707659.464737e-07
2.179141.7705779.789146e-07
2.189271.7703881.011506e-06
2.199461.7701971.044250e-06
2.21.7701871.046000e-06
2.209691.7700051.213389e-06
2.219971.7698111.391006e-06
2.230291.7696151.569449e-06
2.240671.7694181.748722e-06
2.251091.7692191.928829e-06
2.261561.7690182.109774e-06
2.272081.7688152.291561e-06
2.282651.7686112.474193e-06
2.293271.7684052.657675e-06
2.303941.7681972.842011e-06
2.314651.7679873.027203e-06
2.325421.7677753.213258e-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
—