Optical constants

Refractive index of N-LAF32 (SCHOTT)

N-LAF32: n,k 0.35–2.5 µm

Data
formula 2 + tabulated k
Range
0.35–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.35–2.5 µm
Refractive index n
1.79457
Extinction coefficient k
1.31389e-08
Permittivity ε1
3.22047
Permittivity ε2
4.71571e-08
Absorption coefficient α
0.00280987 cm⁻¹
Penetration depth δ = λ/(2πk)
7.11777e+09 nm
Abbe number Vd
45.527
Chromatic dispersion dn/dλ
-0.0894649 µm⁻¹
Group index ng
1.84714
Group velocity dispersion
163.977 fs²/mm
Dispersion parameter D
-894.581 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

# N-LAF32 (SCHOTT): N-LAF32
schott_n_laf32 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAF32", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_laf32.range_nm)  # (350, 2500) nm
eps = schott_n_laf32.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=1.91731106λ2λ2−0.00978600358+0.224019825λ2λ2−0.0386141473+1.22087075λ2λ2−84.6431265

Valid from 0.35 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.91731106
C30.00978600358
C40.224019825
C50.0386141473
C61.22087075
C784.6431265

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.8e-06 1.1e-08 -1.83e-11 6.37e-07 8.03e-10 0.196
nd
1.79457E+00
Vd
4.55300E+01
glass code
795455.433
glass status
preferred
density
value: 4325
thermal expansion
value: 5.89e-06, temperature range: 243 343; value: 6.98e-06, temperature range: 293 573
dPgF
-0.0075
resistance
acid: 51.2; stain: 1.0; alkali: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.43e-06 K⁻¹ at 633 nm, dn/dT = 2.52e-06 K⁻¹ at 1310 nm, dn/dT = 2.44e-06 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT 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 419 wavelengths, the same grid as the API and the library
N-LAF32 (SCHOTT), N-LAF32: n and k versus wavelength
λ (µm)nk
0.351.8463872.813900e-06
0.3517291.8455042.622716e-06
0.3534661.8446332.430588e-06
0.3552121.8437752.237511e-06
0.3569671.8429292.043481e-06
0.358731.8420941.848491e-06
0.3605021.8412711.652539e-06
0.3622831.8404591.455618e-06
0.3640731.8396581.257725e-06
0.3651.8392491.155200e-06
0.3658711.8388681.104532e-06
0.3676791.8380899.994291e-07
0.3694951.8373218.938073e-07
0.371.8371098.644300e-07
0.371321.8365628.142653e-07
0.3731541.8358147.445608e-07
0.3749981.8350766.745120e-07
0.376851.8343486.041171e-07
0.3787121.8336295.333746e-07
0.381.8331394.844100e-07
0.3805821.832924.732432e-07
0.3824621.832224.371888e-07
0.3843521.8315294.009564e-07
0.386251.8308473.645449e-07
0.3881581.8301733.279536e-07
0.391.8295352.926300e-07
0.3900761.8295092.918702e-07
0.3920021.8288532.724858e-07
0.3939391.8282052.530056e-07
0.3958851.8275662.334292e-07
0.397841.8269342.137561e-07
0.3998061.8263111.939858e-07
0.41.826251.920300e-07
0.4017811.8256961.823333e-07
0.4037651.8250881.715246e-07
0.4051.8247151.648000e-07
0.405761.8244871.616588e-07
0.4077641.8238951.533714e-07
0.4097781.8233091.450431e-07
0.4118031.8227311.366737e-07
0.4138371.822161.282629e-07
0.4158811.8215951.198106e-07
0.4179351.8210381.113166e-07
0.421.8204881.027805e-07
0.421.8204871.027800e-07
0.4220751.8199449.887307e-08
0.424161.8194069.494659e-08
0.4262551.8188759.100072e-08
0.428361.8183518.703535e-08
0.4304761.8178338.305040e-08
0.4326031.8173217.904576e-08
0.434741.8168157.502134e-08
0.4361.816527.264800e-08
0.4368871.8163157.166686e-08
0.4390451.8158216.928043e-08
0.4412141.8153326.688221e-08
0.4433941.814856.447215e-08
0.4455841.8143736.205018e-08
0.4477851.8139025.961624e-08
0.4499971.8134365.717029e-08
0.452221.8129755.471225e-08
0.4544541.812525.224206e-08
0.4566991.812074.975968e-08
0.4589551.8116254.726503e-08
0.461.8114224.610900e-08
0.4612221.8111854.528757e-08
0.46351.8107514.375568e-08
0.465791.8103214.221622e-08
0.468091.8098964.066916e-08
0.4704031.8094763.911446e-08
0.4727261.8090613.755207e-08
0.4750621.808653.598197e-08
0.4774081.8082443.440412e-08
0.4797671.8078423.281847e-08
0.4821361.8074453.122498e-08
0.4845181.8070522.962363e-08
0.4869121.8066642.801436e-08
0.4893171.806282.639715e-08
0.4917341.80592.477195e-08
0.4941631.8055242.313872e-08
0.4966041.8051532.149742e-08
0.4990571.8047851.984801e-08
0.51.8046451.921400e-08
0.5015221.8044221.892427e-08
0.5041.8040621.845276e-08
0.5064891.8037061.797891e-08
0.5089911.8033541.750273e-08
0.5115061.8030061.702419e-08
0.5140321.8026621.654329e-08
0.5165711.8023211.606002e-08
0.5191231.8019841.557436e-08
0.5216881.801651.508629e-08
0.5242651.801321.459582e-08
0.5268541.8009941.410293e-08
0.5294571.8006711.360759e-08
0.5320721.8003511.310982e-08
0.5347011.8000351.260958e-08
0.5373421.7997221.210687e-08
0.5399961.7994121.160168e-08
0.5426641.7991051.109400e-08
0.5453441.7988021.058381e-08
0.5461.7987281.045900e-08
0.5480381.7985021.060946e-08
0.5507451.7982051.080932e-08
0.5534661.797911.101016e-08
0.55621.7976191.121199e-08
0.5589471.7973311.141482e-08
0.5617081.7970461.161865e-08
0.5644831.7967631.182349e-08
0.5672721.7964841.202934e-08
0.5700741.7962071.223621e-08
0.572891.7959331.244410e-08
0.575721.7956621.265301e-08
0.5785641.7953931.286296e-08
0.581.7952591.296900e-08
0.5814221.7951271.300077e-08
0.5842941.7948641.306496e-08
0.587181.7946031.312947e-08
0.590081.7943451.319430e-08
0.5929951.7940891.325945e-08
0.5959251.7938361.332491e-08
0.5988681.7935861.339071e-08
0.6018271.7933371.345682e-08
0.6047991.7930921.352327e-08
0.6077871.7928481.359004e-08
0.6107891.7926071.365714e-08
0.6138061.7923681.372457e-08
0.6168391.7921311.379234e-08
0.6198861.7918971.386044e-08
0.621.7918881.386300e-08
0.6229481.7916651.377310e-08
0.6260251.7914351.367924e-08
0.6291171.7912071.358492e-08
0.6322251.7909811.349014e-08
0.6353481.7907581.339489e-08
0.6384861.7905361.329916e-08
0.641641.7903161.320297e-08
0.644811.7900991.310630e-08
0.6479951.7898831.300915e-08
0.6511961.789671.291152e-08
0.6544131.7894581.281341e-08
0.6576461.7892481.271481e-08
0.661.7890971.264300e-08
0.6608941.789041.261005e-08
0.6641591.7888341.248975e-08
0.667441.788631.236885e-08
0.6707371.7884281.224736e-08
0.674051.7882271.212526e-08
0.677381.7880281.200256e-08
0.6807261.7878311.187926e-08
0.6840881.7876351.175535e-08
0.6874671.7874421.163082e-08
0.6908631.7872491.150568e-08
0.6942761.7870591.137993e-08
0.6977061.786871.125355e-08
0.71.7867451.116900e-08
0.7011521.7866831.120911e-08
0.7046161.7864971.132969e-08
0.7080961.7863131.145086e-08
0.7115941.786131.157264e-08
0.7151091.7859491.169501e-08
0.7186421.7857691.181799e-08
0.7221921.7855911.194158e-08
0.7257591.7854141.206577e-08
0.7293441.7852391.219058e-08
0.7329471.7850651.231601e-08
0.7365681.7848921.244206e-08
0.7402061.7847211.256873e-08
0.7438621.7845511.269602e-08
0.7475371.7843821.282395e-08
0.751231.7842151.295250e-08
0.754941.7840491.308169e-08
0.758671.7838841.321152e-08
0.7624171.7837211.334199e-08
0.7661841.7835591.347311e-08
0.7699681.7833981.360487e-08
0.7737721.7832381.373728e-08
0.7775941.7830791.387035e-08
0.7814351.7829211.400407e-08
0.7852951.7827651.413846e-08
0.7891741.7826091.427351e-08
0.7930731.7824551.440922e-08
0.796991.7823021.454561e-08
0.8009271.782151.468267e-08
0.8048841.7819991.482041e-08
0.808861.7818491.495883e-08
0.8128551.78171.509793e-08
0.816871.7815521.523772e-08
0.8209061.7814051.537820e-08
0.8249611.7812591.551937e-08
0.8290361.7811131.566124e-08
0.8331311.7809691.580381e-08
0.8372471.7808261.594709e-08
0.8413821.7806831.609107e-08
0.8455391.7805421.623576e-08
0.8497151.7804011.638117e-08
0.8539131.7802611.652730e-08
0.8581311.7801221.667415e-08
0.862371.7799841.682172e-08
0.866631.7798471.697003e-08
0.8709111.779711.711906e-08
0.8752131.7795751.726884e-08
0.8795361.7794391.741935e-08
0.8838811.7793051.757060e-08
0.8882471.7791721.772261e-08
0.8926351.7790391.787536e-08
0.8970441.7789071.802887e-08
0.9014751.7787751.818314e-08
0.9059281.7786441.833817e-08
0.9104031.7785141.849396e-08
0.9149011.7783851.865052e-08
0.919421.7782561.880786e-08
0.9239621.7781281.896598e-08
0.9285261.7781.912487e-08
0.9331131.7778731.928455e-08
0.9377221.7777461.944502e-08
0.9423541.777621.960628e-08
0.9470091.7774951.976834e-08
0.9516871.777371.993120e-08
0.9563881.7772462.009487e-08
0.9611121.7771222.025934e-08
0.965861.7769992.042462e-08
0.9706311.7768762.059072e-08
0.9754261.7767532.075765e-08
0.9802441.7766312.092539e-08
0.9850861.776512.109397e-08
0.9899531.7763892.126338e-08
0.9948431.7762682.143362e-08
0.9997571.7761482.160471e-08
1.00471.7760282.177664e-08
1.009661.7759092.194942e-08
1.014651.775792.212305e-08
1.019661.7756712.229754e-08
1.024691.7755522.247289e-08
1.029761.7754342.264911e-08
1.034841.7753162.282620e-08
1.039961.7751992.300417e-08
1.045091.7750822.318301e-08
1.050251.7749652.336274e-08
1.055441.7748482.354335e-08
1.061.7747462.370200e-08
1.060661.7747322.390424e-08
1.06591.7746162.551806e-08
1.071161.77452.713985e-08
1.076451.7743842.876966e-08
1.081771.7742683.040751e-08
1.087111.7741533.205346e-08
1.092481.7740383.370754e-08
1.097881.7739233.536978e-08
1.10331.7738083.704024e-08
1.108751.7736933.871895e-08
1.114231.7735794.040596e-08
1.119731.7734644.210129e-08
1.125271.773354.380500e-08
1.130821.7732364.551713e-08
1.136411.7731214.723771e-08
1.142021.7730074.896680e-08
1.147671.7728935.070442e-08
1.153331.7727795.245063e-08
1.159031.7726655.420546e-08
1.164761.7725515.596897e-08
1.170511.7724375.774118e-08
1.176291.7723235.952215e-08
1.18211.7722096.131191e-08
1.187941.7720956.311052e-08
1.193811.7719816.491801e-08
1.199711.7718676.673443e-08
1.205631.7717536.855982e-08
1.211591.7716397.039423e-08
1.217571.7715247.223770e-08
1.223591.771417.409028e-08
1.229631.7712957.595201e-08
1.235711.7711817.782293e-08
1.241811.7710667.970310e-08
1.247951.7709518.159256e-08
1.254111.7708368.349134e-08
1.260311.770728.539951e-08
1.266531.7706058.731711e-08
1.272791.7704898.924417e-08
1.279071.7703739.118076e-08
1.285391.7702579.312691e-08
1.291741.7701419.508267e-08
1.298121.7700249.704810e-08
1.304541.7699079.902323e-08
1.310981.769791.010081e-07
1.317461.7696721.030028e-07
1.323961.7695551.050074e-07
1.33051.7694361.070218e-07
1.337081.7693181.090462e-07
1.343681.7691991.110806e-07
1.350321.769081.131251e-07
1.356991.7689611.151796e-07
1.363691.7688411.172443e-07
1.370431.7687211.193192e-07
1.37721.76861.214044e-07
1.3841.7684791.234998e-07
1.390841.7683571.256056e-07
1.397711.7682361.277218e-07
1.404611.7681131.298485e-07
1.411551.767991.319856e-07
1.418521.7678671.341334e-07
1.425531.7677431.362917e-07
1.432571.7676191.384607e-07
1.439651.7674941.406404e-07
1.446761.7673681.428309e-07
1.453911.7672431.450321e-07
1.461091.7671161.472443e-07
1.468311.7669891.494674e-07
1.475561.7668611.517015e-07
1.482851.7667331.539466e-07
1.490171.7666041.562028e-07
1.497531.7664741.584701e-07
1.504931.7663441.607487e-07
1.512371.7662131.630385e-07
1.519841.7660821.653396e-07
1.527341.7659491.676521e-07
1.531.7659031.684700e-07
1.534891.7658161.771073e-07
1.542471.7656831.905015e-07
1.550091.7655482.039620e-07
1.557751.7654132.174889e-07
1.565441.7652772.310827e-07
1.573181.765142.447435e-07
1.580951.7650032.584719e-07
1.588761.7648642.722681e-07
1.59661.7647252.861325e-07
1.604491.7645853.000653e-07
1.612421.7644443.140669e-07
1.620381.7643033.281378e-07
1.628391.764163.422781e-07
1.636431.7640163.564883e-07
1.644511.7638723.707686e-07
1.652641.7637263.851195e-07
1.66081.763583.995413e-07
1.6691.7634324.140344e-07
1.677251.7632844.285990e-07
1.685531.7631354.432356e-07
1.693861.7629844.579445e-07
1.702231.7628334.727260e-07
1.710641.762684.875806e-07
1.719091.7625265.025085e-07
1.727581.7623715.175102e-07
1.736111.7622165.325859e-07
1.744691.7620595.477362e-07
1.753311.76195.629613e-07
1.761971.7617415.782616e-07
1.770671.761585.936375e-07
1.779421.7614196.090893e-07
1.788211.7612566.246174e-07
1.797041.7610916.402223e-07
1.805921.7609266.559043e-07
1.814841.7607596.716637e-07
1.82381.7605916.875009e-07
1.832811.7604217.034164e-07
1.841871.760257.194105e-07
1.850961.7600787.354836e-07
1.860111.7599057.516362e-07
1.86931.759737.678685e-07
1.878531.7595537.841810e-07
1.887811.7593758.005740e-07
1.897141.7591968.170481e-07
1.906511.7590158.336035e-07
1.915921.7588328.502407e-07
1.925391.7586488.669601e-07
1.93491.7584638.837621e-07
1.944461.7582769.006470e-07
1.954061.7580879.176154e-07
1.963721.7578969.346676e-07
1.971.7577729.457700e-07
1.973421.7577049.951289e-07
1.983161.757511.135998e-06
1.992961.7573151.277563e-06
2.00281.7571181.419828e-06
2.01271.7569191.562795e-06
2.022641.7567181.706468e-06
2.032631.7565151.850851e-06
2.042671.7563111.995947e-06
2.052761.7561042.141760e-06
2.06291.7558962.288294e-06
2.073091.7556862.435551e-06
2.083331.7554742.583536e-06
2.093631.755262.732251e-06
2.103971.7550432.881701e-06
2.114361.7548253.031890e-06
2.12481.7546053.182820e-06
2.13531.7543833.334496e-06
2.145851.7541583.486921e-06
2.156451.7539323.640099e-06
2.16711.7537033.794034e-06
2.177811.7534723.948729e-06
2.188561.7532394.104188e-06
2.199371.7530034.260416e-06
2.210241.7527654.417415e-06
2.221161.7525254.575189e-06
2.232131.7522834.733743e-06
2.243161.7520384.893080e-06
2.254241.751795.053204e-06
2.265371.751545.214119e-06
2.276561.7512885.375829e-06
2.287811.7510335.538338e-06
2.299111.7507755.701650e-06
2.310471.7505155.865768e-06
2.321881.7502536.030697e-06
2.3251.750186.075800e-06
2.333351.7499876.590882e-06
2.344871.7497197.302028e-06
2.356461.7494488.016686e-06
2.36811.7491748.734875e-06
2.37981.7488979.456612e-06
2.391551.7486181.018191e-05
2.403371.7483351.091080e-05
2.415241.748051.164328e-05
2.427171.7477621.237939e-05
2.439161.747471.311913e-05
2.451211.7471751.386252e-05
2.463311.7468781.460959e-05
2.475481.7465771.536034e-05
2.487711.7462731.611481e-05
2.51.7459651.687300e-05

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
—