Optical constants

Refractive index of S-LAH64 (OHARA)

S-LAH64: n,k 0.32–2.4 µm

Data
formula 2 + tabulated k
Range
0.32–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.4 µm
Refractive index n
1.788
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.19694
Permittivity ε2
3.34761e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
47.369
Chromatic dispersion dn/dλ
-0.0854212 µm⁻¹
Group index ng
1.83819
Group velocity dispersion
155.117 fs²/mm
Dispersion parameter D
-846.246 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

# S-LAH64 (OHARA): S-LAH64
ohara_s_lah64 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAH64", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lah64.range_nm)  # (320, 2400) nm
eps = ohara_s_lah64.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=1.83021453λ2λ2−0.0090482329+0.29156359λ2λ2−0.0330756689+1.28544024λ2λ2−89.3675501

Valid from 0.32 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.83021453
C30.0090482329
C40.29156359
C50.0330756689
C61.28544024
C789.3675501

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.03e-06 1.2e-08 -3.49e-11 4.09e-07 4.61e-10 0.277
nd
1.788001
Vd
47.368522
glass code
788474
density
value: 4300
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0089
resistance
acid: 4.0; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.63e-06 K⁻¹ at 633 nm, dn/dT = 1.96e-06 K⁻¹ at 1310 nm, dn/dT = 1.91e-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 426 wavelengths, the same grid as the API and the library
S-LAH64 (OHARA), S-LAH64: n and k versus wavelength
λ (µm)nk
0.321.8538635.195400e-06
0.321621.8527784.743536e-06
0.3232481.8517094.289384e-06
0.3248851.8506563.832933e-06
0.326531.8496183.374171e-06
0.3281831.8485962.913087e-06
0.3298441.847592.449668e-06
0.331.8474962.406200e-06
0.3315141.8465982.231161e-06
0.3331921.845622.037128e-06
0.3348791.8446571.842113e-06
0.3365751.8437071.646110e-06
0.3382791.8427721.449116e-06
0.3399911.8418491.251123e-06
0.341.8418441.250100e-06
0.3417121.840941.160688e-06
0.3434421.8400441.070360e-06
0.3451811.839169.795736e-07
0.3469291.8382898.883280e-07
0.3486851.8374297.966203e-07
0.351.8367977.279600e-07
0.350451.8365827.161452e-07
0.3522251.8357476.695935e-07
0.3540081.8349236.228062e-07
0.35581.834115.757820e-07
0.3576011.8333085.285197e-07
0.3594121.8325184.810181e-07
0.361.8322644.655800e-07
0.3612311.8317384.416506e-07
0.363061.8309684.061062e-07
0.3648981.8302093.703820e-07
0.3667451.829463.344768e-07
0.3686021.8287212.983899e-07
0.371.8281732.712200e-07
0.3704681.8279912.668307e-07
0.3723441.8272722.492474e-07
0.3742291.8265622.315751e-07
0.3761231.8258612.138133e-07
0.3780281.8251691.959616e-07
0.3799411.8244861.780195e-07
0.381.8244651.774700e-07
0.3818651.8238121.673977e-07
0.3837981.8231471.569562e-07
0.3857411.822491.464619e-07
0.3876941.8218421.359144e-07
0.3896571.8212021.253135e-07
0.391.8210911.234600e-07
0.391631.820571.180725e-07
0.3936121.8199461.115173e-07
0.3956051.819331.049290e-07
0.3976081.8187229.830730e-08
0.3996211.8181219.165208e-08
0.41.8180099.039800e-08
0.4016441.8175288.823768e-08
0.4036771.8169428.556541e-08
0.4057211.8163648.287961e-08
0.4077751.8157938.018021e-08
0.4098391.8152287.746714e-08
0.4119141.8146717.474034e-08
0.4141.814127.199973e-08
0.4160961.8135776.924525e-08
0.4182021.8130396.647683e-08
0.421.8125886.411400e-08
0.4203191.8125096.387856e-08
0.4224471.8119846.230942e-08
0.4245861.8114676.073234e-08
0.4267351.8109555.914727e-08
0.4288961.8104495.755418e-08
0.4310671.809955.595303e-08
0.433251.8094565.434377e-08
0.4354431.8089685.272636e-08
0.4376471.8084865.110076e-08
0.4398631.808014.946694e-08
0.441.8079814.936600e-08
0.442091.807544.805181e-08
0.4443281.8070744.664447e-08
0.4465781.8066154.522999e-08
0.4488381.806164.380836e-08
0.4511111.8057114.237953e-08
0.4533951.8052674.094346e-08
0.455691.8048293.950013e-08
0.4579971.8043953.804949e-08
0.461.8040243.679000e-08
0.4603161.8039663.663282e-08
0.4626461.8035433.547251e-08
0.4649881.8031243.430632e-08
0.4673421.802713.313422e-08
0.4697081.80233.195619e-08
0.4720861.8018953.077220e-08
0.4744761.8014952.958222e-08
0.4768781.8010992.838621e-08
0.4792931.8007082.718414e-08
0.481.8005952.683200e-08
0.4817191.8003212.589630e-08
0.4841581.7999392.456900e-08
0.4866091.7995612.323497e-08
0.4890731.7991862.189419e-08
0.4915491.7988162.054663e-08
0.4940371.7984511.919224e-08
0.4965381.7980891.783099e-08
0.4990521.7977311.646286e-08
0.51.7975971.594700e-08
0.5015791.7973771.572015e-08
0.5041181.7970271.535527e-08
0.506671.7966811.498853e-08
0.5092351.7963381.461994e-08
0.5118131.7959991.424949e-08
0.5144051.7956641.387716e-08
0.5170091.7953331.350294e-08
0.5196261.7950051.312683e-08
0.5222571.794681.274882e-08
0.5249011.7943591.236889e-08
0.5275581.7940421.198704e-08
0.5302291.7937281.160326e-08
0.5329131.7934171.121753e-08
0.5356111.7931091.082985e-08
0.5383231.7928051.044021e-08
0.5410481.7925041.004859e-08
0.5437881.7922059.654992e-09
0.5465411.7919119.259401e-09
0.5493081.7916198.861808e-09
0.551.7915468.762300e-09
0.5520881.791338.795573e-09
0.5548831.7910448.840104e-09
0.5576931.7907618.884860e-09
0.5605161.7904818.929842e-09
0.5633541.7902048.975052e-09
0.5662061.789939.020491e-09
0.5690721.7896589.066161e-09
0.5719531.7893899.112061e-09
0.5748491.7891239.158194e-09
0.5777591.788869.204560e-09
0.5806841.7885999.251161e-09
0.5836241.7883419.297998e-09
0.5865791.7880859.345072e-09
0.5895481.7878329.392384e-09
0.5925331.7875819.439936e-09
0.5955331.7873339.487729e-09
0.5985481.7870889.535764e-09
0.61.7869719.558900e-09
0.6015781.7868449.584026e-09
0.6046241.7866039.632517e-09
0.6076851.7863659.681255e-09
0.6107611.7861299.730239e-09
0.6138531.7858959.779471e-09
0.6169611.7856639.828952e-09
0.6200841.7854339.878684e-09
0.6232241.7852069.928667e-09
0.6263791.7849819.978904e-09
0.629551.7847581.002939e-08
0.6327371.7845371.008014e-08
0.635941.7843181.013114e-08
0.639161.7841011.018241e-08
0.6423961.7838861.023393e-08
0.6456481.7836731.028571e-08
0.6489171.7834621.033775e-08
0.651.7833931.035500e-08
0.6522021.7832531.039010e-08
0.6555041.7830461.044273e-08
0.6588231.7828411.049563e-08
0.6621581.7826371.054880e-08
0.665511.7824361.060223e-08
0.6688791.7822361.065594e-08
0.6722661.7820381.070992e-08
0.6756691.7818421.076417e-08
0.679091.7816471.081869e-08
0.6825281.7814541.087349e-08
0.6859831.7812631.092857e-08
0.6894561.7810741.098393e-08
0.6929471.7808861.103957e-08
0.6964551.7806991.109549e-08
0.6999811.7805151.115169e-08
0.71.7805141.115200e-08
0.7035241.7803321.098344e-08
0.7070861.780151.081310e-08
0.7106661.779971.064189e-08
0.7142641.7797911.046982e-08
0.717881.7796141.029688e-08
0.7215141.7794391.012306e-08
0.7251671.7792649.948365e-09
0.7288381.7790919.772783e-09
0.7325281.778929.596312e-09
0.7362371.778759.418947e-09
0.7399641.7785819.240685e-09
0.743711.7784149.061520e-09
0.7474751.7782488.881448e-09
0.7512591.7780838.700464e-09
0.7550631.7779198.518565e-09
0.7588851.7777578.335744e-09
0.7627271.7775968.151998e-09
0.7665891.7774367.967321e-09
0.770471.7772777.781710e-09
0.774371.777127.595158e-09
0.7782911.7769647.407663e-09
0.7822311.7768087.219218e-09
0.7861911.7766547.029819e-09
0.7901711.7765016.839461e-09
0.7941721.7763496.648140e-09
0.7981921.7761986.455850e-09
0.81.7761316.369400e-09
0.8022331.7760496.547369e-09
0.8062951.77596.871008e-09
0.8103771.7757527.196286e-09
0.8144791.7756057.523210e-09
0.8186031.7754597.851790e-09
0.8227471.7753148.182033e-09
0.8269121.7751718.513948e-09
0.8310991.7750288.847543e-09
0.8353061.7748859.182827e-09
0.8395351.7747449.519809e-09
0.8437861.7746049.858496e-09
0.8480571.7744641.019890e-08
0.8523511.7743261.054102e-08
0.8566661.7741881.088488e-08
0.8610031.7740511.123048e-08
0.8653621.7739151.157783e-08
0.8697431.7737791.192693e-08
0.8741461.7736451.227781e-08
0.8785721.7735111.263046e-08
0.883021.7733781.298490e-08
0.887491.7732451.334113e-08
0.8919831.7731131.369916e-08
0.8964991.7729821.405900e-08
0.91.7728821.433800e-08
0.9010371.7728521.443730e-08
0.9055991.7727221.487389e-08
0.9101841.7725931.531270e-08
0.9147921.7724651.575372e-08
0.9194231.7723371.619698e-08
0.9240781.7722091.664249e-08
0.9287561.7720831.709025e-08
0.9334581.7719571.754027e-08
0.9381841.7718311.799257e-08
0.9429341.7717061.844717e-08
0.9477071.7715821.890406e-08
0.9525051.7714581.936327e-08
0.9573271.7713341.982481e-08
0.9621741.7712112.028868e-08
0.9670451.7710892.075489e-08
0.9719411.7709672.122347e-08
0.9768621.7708452.169442e-08
0.9818071.7707242.216776e-08
0.9867781.7706032.264349e-08
0.9917731.7704832.312163e-08
0.9967941.7703632.360219e-08
11.7702872.390900e-08
1.001841.7702442.404122e-08
1.006911.7701242.440551e-08
1.012011.7700062.477165e-08
1.017131.7698872.513964e-08
1.022281.7697692.550950e-08
1.027461.7696512.588122e-08
1.032661.7695342.625483e-08
1.037891.7694162.663034e-08
1.043141.7692992.700774e-08
1.048421.7691832.738705e-08
1.053731.7690662.776828e-08
1.059071.768952.815145e-08
1.064431.7688342.853655e-08
1.069821.7687182.892360e-08
1.075231.7686022.931262e-08
1.080681.7684872.970360e-08
1.086151.7683723.009656e-08
1.091651.7682573.049151e-08
1.097171.7681423.088846e-08
1.102731.7680273.128742e-08
1.108311.7679123.168840e-08
1.113921.7677983.209141e-08
1.119561.7676833.249646e-08
1.125231.7675693.290356e-08
1.130931.7674543.331272e-08
1.136651.767343.372395e-08
1.142411.7672263.413727e-08
1.148191.7671123.455268e-08
1.1541.7669973.497019e-08
1.159841.7668833.538981e-08
1.165721.7667693.581156e-08
1.171621.7666553.623544e-08
1.177551.766543.666147e-08
1.183511.7664263.708966e-08
1.18951.7663123.752001e-08
1.195521.7661973.795255e-08
1.21.7661133.827400e-08
1.201581.7660833.841254e-08
1.207661.7659683.894695e-08
1.213771.7658533.948406e-08
1.219921.7657394.002389e-08
1.22611.7656244.056645e-08
1.23231.7655084.111176e-08
1.238541.7653934.165984e-08
1.244811.7652784.221068e-08
1.251111.7651624.276432e-08
1.257451.7650464.332076e-08
1.263811.764934.388001e-08
1.270211.7648144.444210e-08
1.276641.7646974.500703e-08
1.283111.7645814.557482e-08
1.28961.7644644.614549e-08
1.296131.7643464.671904e-08
1.302691.7642294.729550e-08
1.309291.7641114.787488e-08
1.315921.7639934.845719e-08
1.322581.7638744.904245e-08
1.329271.7637554.963067e-08
1.3361.7636365.022187e-08
1.342771.7635165.081607e-08
1.349561.7633965.141327e-08
1.35641.7632765.201349e-08
1.363261.7631555.261675e-08
1.370171.7630345.322307e-08
1.37711.7629125.383246e-08
1.384071.762795.444493e-08
1.391081.7626675.506050e-08
1.398121.7625445.567919e-08
1.41.7625115.584400e-08
1.40521.7624215.671787e-08
1.412321.7622975.791289e-08
1.419471.7621725.911396e-08
1.426651.7620476.032110e-08
1.433881.7619216.153437e-08
1.441131.7617956.275377e-08
1.448431.7616686.397934e-08
1.455761.7615416.521113e-08
1.463131.7614136.644914e-08
1.470541.7612846.769343e-08
1.477991.7611556.894401e-08
1.485471.7610257.020093e-08
1.492991.7608947.146421e-08
1.500551.7607637.273388e-08
1.508141.7606317.400998e-08
1.515781.7604987.529254e-08
1.523451.7603647.658160e-08
1.531171.760237.787718e-08
1.538921.7600957.917932e-08
1.546711.759968.048806e-08
1.554541.7598238.180342e-08
1.562411.7596868.312543e-08
1.570321.7595478.445414e-08
1.578271.7594088.578958e-08
1.586261.7592698.713178e-08
1.594291.7591288.848077e-08
1.61.7590288.944000e-08
1.602361.7589869.059676e-08
1.610471.7588449.457134e-08
1.618631.75879.856603e-08
1.626821.7585561.025809e-07
1.635061.758411.066162e-07
1.643331.7582641.106719e-07
1.651651.7581161.147481e-07
1.660021.7579681.188449e-07
1.668421.7578191.229625e-07
1.676871.7576681.271009e-07
1.685361.7575171.312603e-07
1.693891.7573641.354407e-07
1.702461.757211.396423e-07
1.711081.7570561.438652e-07
1.719751.75691.481095e-07
1.728451.7567421.523752e-07
1.73721.7565841.566625e-07
1.7461.7564251.609716e-07
1.754841.7562641.653024e-07
1.763721.7561021.696552e-07
1.772651.7559391.740300e-07
1.781621.7557741.784270e-07
1.790641.7556081.828462e-07
1.799711.7554411.872878e-07
1.81.7554361.874300e-07
1.808821.7552722.034452e-07
1.817981.7551032.200710e-07
1.827181.7549312.367810e-07
1.836431.7547592.535755e-07
1.845731.7545852.704551e-07
1.855071.7544092.874201e-07
1.864471.7542323.044710e-07
1.873911.7540543.216083e-07
1.883391.7538743.388323e-07
1.892931.7536923.561435e-07
1.902511.7535093.735423e-07
1.912141.7533243.910293e-07
1.921821.7531384.086047e-07
1.931551.752954.262691e-07
1.941331.752764.440230e-07
1.951161.7525694.618668e-07
1.961041.7523764.798008e-07
1.970971.7521814.978257e-07
1.980941.7519855.159418e-07
1.990971.7517865.341497e-07
21.7516075.505400e-07
2.001051.7515865.558238e-07
2.011181.7513846.067131e-07
2.021361.751186.578599e-07
2.03161.7509757.092657e-07
2.041881.7507677.609317e-07
2.052221.7505588.128593e-07
2.062611.7503468.650498e-07
2.073051.7501329.175046e-07
2.083551.7499179.702248e-07
2.09411.7496991.023212e-06
2.10471.7494791.076467e-06
2.115351.7492581.129993e-06
2.126061.7490331.183789e-06
2.136831.7488071.237857e-06
2.147641.7485791.292199e-06
2.158521.7483481.346816e-06
2.169441.7481151.401710e-06
2.180431.747881.456882e-06
2.191471.7476421.512333e-06
2.21.7474581.555200e-06
2.202561.7474021.629600e-06
2.213711.747161.953553e-06
2.224921.7469152.279146e-06
2.236181.7466682.606388e-06
2.24751.7464182.935286e-06
2.258881.7461653.265850e-06
2.270321.745913.598087e-06
2.281811.7456533.932006e-06
2.293361.7453934.267615e-06
2.304971.745134.604924e-06
2.316641.7448644.943940e-06
2.328371.7445955.284672e-06
2.340161.7443245.627130e-06
2.352011.744055.971321e-06
2.363911.7437736.317255e-06
2.375881.7434936.664940e-06
2.387911.743217.014386e-06
2.41.7429247.365600e-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
—