Optical constants

Refractive index of N-LAF35 (SCHOTT)

N-LAF35: n,k 0.31–2.5 µm

Data
formula 2 + tabulated k
Range
0.31–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.31–2.5 µm
Refractive index n
1.7433
Extinction coefficient k
1.12565e-08
Permittivity ε1
3.03908
Permittivity ε2
3.92470e-08
Absorption coefficient α
0.00240732 cm⁻¹
Penetration depth δ = λ/(2πk)
8.30801e+09 nm
Abbe number Vd
49.399
Chromatic dispersion dn/dλ
-0.0773905 µm⁻¹
Group index ng
1.78877
Group velocity dispersion
139.225 fs²/mm
Dispersion parameter D
-759.546 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-LAF35 (SCHOTT): N-LAF35
schott_n_laf35 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAF35", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_laf35.range_nm)  # (310, 2500) nm
eps = schott_n_laf35.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=1.51697436λ2λ2−0.00750943203+0.455875464λ2λ2−0.0260046715+1.07469242λ2λ2−80.5945159

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.51697436
C30.00750943203
C40.455875464
C50.0260046715
C61.07469242
C780.5945159

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.98e-06 1.26e-08 -1.23e-11 6.24e-07 6.86e-10 0.194
nd
1.7433
Vd
49.4
glass code
743494.412
glass status
standard
density
value: 4115
thermal expansion
value: 5.27e-06, temperature range: 243 343; value: 6.38e-06, temperature range: 293 573
dPgF
-0.0084
resistance
acid: 52.3; stain: 1.0; alkali: 1.0; climatic: 2.0; phosphate: 3.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.23e-06 K⁻¹ at 633 nm, dn/dT = 5.33e-06 K⁻¹ at 1310 nm, dn/dT = 5.25e-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 422 wavelengths, the same grid as the API and the library
N-LAF35 (SCHOTT), N-LAF35: n and k versus wavelength
λ (µm)nk
0.311.8081152.492300e-06
0.3116261.8070452.353610e-06
0.3132611.8059912.214193e-06
0.3149041.8049532.074044e-06
0.3165561.803931.933161e-06
0.3182161.8029231.791538e-06
0.3198851.8019311.649172e-06
0.321.8018631.639400e-06
0.3215631.8009531.611773e-06
0.323251.7999891.581966e-06
0.3249461.799041.552002e-06
0.326651.7981041.521881e-06
0.3283641.7971821.491602e-06
0.3300861.7962731.461165e-06
0.3318181.7953781.430567e-06
0.3335581.7944951.399809e-06
0.3341.7942731.392000e-06
0.3353081.7936241.332664e-06
0.3370671.7927661.252861e-06
0.3388351.791921.172639e-06
0.3406121.7910861.091996e-06
0.3423991.7902641.010931e-06
0.3441951.7894539.294396e-07
0.3461.7886538.475212e-07
0.3478151.7878647.651731e-07
0.349641.7870866.823930e-07
0.351.7869346.660400e-07
0.3514741.7863196.319319e-07
0.3533171.7855625.892588e-07
0.3551711.7848165.463620e-07
0.3570341.784085.032401e-07
0.3589061.7833534.598920e-07
0.3607891.7826374.163166e-07
0.3626821.781933.725126e-07
0.3645841.7812323.284788e-07
0.3651.7810813.188500e-07
0.3664961.7805442.976997e-07
0.3684191.7798652.705278e-07
0.371.7793152.481800e-07
0.3703511.7791942.448924e-07
0.3722941.7785332.267168e-07
0.3742471.7778812.084458e-07
0.376211.7772361.900790e-07
0.3781831.7766011.716159e-07
0.381.7760261.546200e-07
0.3801671.7759731.537656e-07
0.3821611.7753541.435735e-07
0.3841661.7747431.333279e-07
0.3861811.7741391.230285e-07
0.3882071.7735441.126751e-07
0.391.7730251.035100e-07
0.3902431.7729561.029088e-07
0.392291.7723759.784700e-08
0.3943481.7718029.275860e-08
0.3964161.7712368.764351e-08
0.3984961.7706778.250159e-08
0.41.7702797.878200e-08
0.4005861.7701257.729835e-08
0.4026871.7695817.197921e-08
0.40481.7690436.663217e-08
0.4051.7689926.612500e-08
0.4069231.7685116.339907e-08
0.4090581.7679876.037334e-08
0.4112031.7674695.733173e-08
0.413361.7669575.427418e-08
0.4155281.7664525.120058e-08
0.4177081.7659524.811087e-08
0.4198991.7654594.500494e-08
0.421.7654374.486200e-08
0.4221021.7649724.339762e-08
0.4243161.7644914.185493e-08
0.4265421.7640164.030415e-08
0.4287791.7635463.874523e-08
0.4310281.7630833.717813e-08
0.4332891.7626243.560282e-08
0.4355621.7621723.401924e-08
0.4361.7620853.371400e-08
0.4378471.7617243.282269e-08
0.4401431.7612833.171414e-08
0.4424521.7608463.059978e-08
0.4447731.7604142.947958e-08
0.4471061.7599882.835349e-08
0.4494511.7595672.722150e-08
0.4518091.7591512.608358e-08
0.4541791.7587392.493968e-08
0.4565611.7583332.378978e-08
0.4589561.7579312.263385e-08
0.461.7577582.213000e-08
0.4613641.7575342.181141e-08
0.4637841.7571412.124596e-08
0.4662161.7567532.067754e-08
0.4686621.756372.010615e-08
0.471121.7559911.953175e-08
0.4735921.7556161.895434e-08
0.4760761.7552461.837391e-08
0.4785731.7548791.779043e-08
0.4810831.7545171.720389e-08
0.4836071.754161.661427e-08
0.4861441.7538061.602156e-08
0.4886941.7534561.542574e-08
0.4912571.753111.482679e-08
0.4938341.7527681.422470e-08
0.4964241.752431.361946e-08
0.4990281.7520961.301104e-08
0.51.7519731.278400e-08
0.5016461.7517651.263829e-08
0.5042771.7514391.240534e-08
0.5069221.7511151.217117e-08
0.5095821.7507961.193576e-08
0.5122551.7504791.169913e-08
0.5149421.7501671.146125e-08
0.5176431.7498581.122213e-08
0.5203581.7495521.098175e-08
0.5230871.7492491.074011e-08
0.5258311.748951.049720e-08
0.528591.7486541.025302e-08
0.5313621.7483611.000756e-08
0.5341491.7480729.760806e-09
0.5369511.7477859.512762e-09
0.5397681.7475029.263416e-09
0.5425991.7472219.012763e-09
0.5454451.7469448.760795e-09
0.5461.746898.711700e-09
0.5483071.7466698.874468e-09
0.5511831.7463989.077430e-09
0.5540741.7461299.281456e-09
0.556981.7458639.486552e-09
0.5599021.74569.692725e-09
0.5628391.745349.899978e-09
0.5657911.7450821.010832e-08
0.5687591.7448271.031775e-08
0.5717421.7445751.052829e-08
0.5747421.7443251.073992e-08
0.5777561.7440781.095267e-08
0.581.7438961.111100e-08
0.5807871.7438331.112607e-08
0.5838331.7435911.118441e-08
0.5868961.7433511.124306e-08
0.5899741.7431141.130201e-08
0.5930691.7428791.136127e-08
0.596181.7426471.142085e-08
0.5993071.7424171.148074e-08
0.6024511.7421891.154094e-08
0.6056111.7419631.160145e-08
0.6087881.741741.166229e-08
0.6119811.7415181.172344e-08
0.6151911.7412991.178491e-08
0.6184181.7410831.184671e-08
0.621.7409771.187700e-08
0.6216621.7408681.173335e-08
0.6249231.7406551.145154e-08
0.6282011.7404441.116826e-08
0.6314961.7402361.088349e-08
0.6348091.7400291.059722e-08
0.6381391.7398241.030945e-08
0.6414861.7396221.002017e-08
0.6448511.7394219.729380e-09
0.6482341.7392229.437061e-09
0.6516341.7390259.143207e-09
0.6550521.738838.847813e-09
0.6584881.7386368.550869e-09
0.661.7385528.420200e-09
0.6619421.7384458.444976e-09
0.6654141.7382558.489272e-09
0.6689051.7380668.533801e-09
0.6724131.737888.578564e-09
0.6759411.7376958.623561e-09
0.6794861.7375128.668795e-09
0.683051.737338.714265e-09
0.6866331.7371518.759974e-09
0.6902351.7369728.805923e-09
0.6938561.7367958.852113e-09
0.6974951.736628.898545e-09
0.71.7365018.930500e-09
0.7011541.7364468.956087e-09
0.7048321.7362749.037639e-09
0.7085291.7361039.119618e-09
0.7122461.7359349.202028e-09
0.7159821.7357669.284870e-09
0.7197371.73569.368147e-09
0.7235131.7354359.451860e-09
0.7273081.7352719.536013e-09
0.7311231.7351089.620607e-09
0.7349581.7349479.705644e-09
0.7388131.7347879.791128e-09
0.7426891.7346299.877060e-09
0.7465841.7344729.963443e-09
0.7505011.7343161.005028e-08
0.7544371.7341611.013757e-08
0.7583951.7340071.022532e-08
0.7623731.7338551.031353e-08
0.7663721.7337031.040220e-08
0.7703921.7335531.049134e-08
0.7744331.7334041.058094e-08
0.7784951.7332561.067102e-08
0.7825791.7331091.076157e-08
0.7866841.7329641.085259e-08
0.790811.7328191.094409e-08
0.7949581.7326751.103607e-08
0.7991281.7325321.112853e-08
0.803321.7323911.122148e-08
0.8075341.732251.131492e-08
0.811771.732111.140884e-08
0.8160281.7319711.150326e-08
0.8203081.7318331.159817e-08
0.8246111.7316961.169358e-08
0.8289371.731561.178949e-08
0.8332851.7314251.188591e-08
0.8376561.7312911.198283e-08
0.842051.7311571.208026e-08
0.8464671.7310241.217820e-08
0.8509071.7308931.227665e-08
0.855371.7307611.237562e-08
0.8598571.7306311.247511e-08
0.8643671.7305011.257512e-08
0.8689011.7303731.267566e-08
0.8734591.7302441.277672e-08
0.8780411.7301171.287831e-08
0.8826471.729991.298044e-08
0.8872771.7298641.308310e-08
0.8919311.7297391.318630e-08
0.8966091.7296141.329004e-08
0.9013131.729491.339433e-08
0.906041.7293671.349916e-08
0.9107931.7292441.360454e-08
0.9155711.7291221.371048e-08
0.9203731.7291.381697e-08
0.9252011.7288791.392402e-08
0.9300541.7287581.403163e-08
0.9349331.7286381.413980e-08
0.9398371.7285191.424855e-08
0.9447671.72841.435786e-08
0.9497221.7282811.446775e-08
0.9547041.7281631.457821e-08
0.9597121.7280451.468925e-08
0.9647461.7279281.480088e-08
0.9698071.7278121.491309e-08
0.9748941.7276951.502589e-08
0.9800081.7275791.513928e-08
0.9851481.7274641.525327e-08
0.9903161.7273491.536785e-08
0.995511.7272341.548303e-08
1.000731.7271191.559882e-08
1.005981.7270051.571522e-08
1.011261.7268921.583223e-08
1.016561.7267781.594985e-08
1.02191.7266651.606808e-08
1.027261.7265521.618694e-08
1.032641.726441.630642e-08
1.038061.7263271.642653e-08
1.043511.7262151.654727e-08
1.048981.7261031.666864e-08
1.054481.7259911.679065e-08
1.061.725881.691300e-08
1.060011.725881.691673e-08
1.065571.7257691.847156e-08
1.071161.7256582.003454e-08
1.076781.7255472.160573e-08
1.082431.7254362.318515e-08
1.088111.7253252.477286e-08
1.093821.7252152.636890e-08
1.099551.7251042.797331e-08
1.105321.7249942.958614e-08
1.111121.7248843.120742e-08
1.116951.7247733.283722e-08
1.122811.7246633.447556e-08
1.12871.7245533.612249e-08
1.134621.7244433.777806e-08
1.140571.7243333.944232e-08
1.146551.7242234.111531e-08
1.152561.7241134.279707e-08
1.158611.7240034.448765e-08
1.164691.7238934.618710e-08
1.17081.7237834.789547e-08
1.176941.7236724.961280e-08
1.183111.7235625.133913e-08
1.189321.7234525.307452e-08
1.195561.7233415.481902e-08
1.201831.7232315.657266e-08
1.208131.723125.833551e-08
1.214471.7230096.010760e-08
1.220841.7228986.188898e-08
1.227241.7227876.367971e-08
1.233681.7226756.547984e-08
1.240151.7225646.728940e-08
1.246661.7224526.910846e-08
1.25321.722347.093706e-08
1.259771.7222287.277525e-08
1.266381.7221157.462309e-08
1.273021.7220037.648061e-08
1.27971.721897.834788e-08
1.286411.7217768.022495e-08
1.293161.7216638.211186e-08
1.299941.7215498.400867e-08
1.306761.7214348.591543e-08
1.313621.721328.783219e-08
1.320511.7212058.975900e-08
1.327431.721099.169592e-08
1.33441.7209749.364300e-08
1.34141.7208589.560030e-08
1.348431.7207419.756786e-08
1.355511.7206249.954574e-08
1.362621.7205071.015340e-07
1.369761.7203891.035327e-07
1.376951.720271.055419e-07
1.384171.7201521.075616e-07
1.391431.7200321.095919e-07
1.398731.7199121.116328e-07
1.406071.7197921.136845e-07
1.413441.7196711.157469e-07
1.420861.7195491.178202e-07
1.428311.7194271.199043e-07
1.43581.7193051.219993e-07
1.443331.7191811.241054e-07
1.45091.7190571.262224e-07
1.458521.7189331.283506e-07
1.466171.7188081.304900e-07
1.473861.7186821.326406e-07
1.481591.7185551.348024e-07
1.489361.7184281.369756e-07
1.497171.71831.391602e-07
1.505031.7181711.413563e-07
1.512921.7180421.435638e-07
1.520861.7179121.457830e-07
1.528831.7177811.480138e-07
1.531.7177611.483400e-07
1.536851.7176491.619018e-07
1.544911.7175161.778555e-07
1.553021.7173831.938929e-07
1.561161.7172482.100145e-07
1.569351.7171132.262206e-07
1.577591.7169772.425117e-07
1.585861.716842.588883e-07
1.594181.7167022.753508e-07
1.602541.7165632.918997e-07
1.610951.7164243.085353e-07
1.61941.7162833.252582e-07
1.627891.7161413.420689e-07
1.636431.7159983.589677e-07
1.645021.7158543.759551e-07
1.653641.715713.930317e-07
1.662321.7155644.101978e-07
1.671041.7154174.274540e-07
1.67981.7152694.448007e-07
1.688611.7151194.622384e-07
1.697471.7149694.797675e-07
1.706381.7148174.973886e-07
1.715331.7146655.151022e-07
1.724321.7145115.329086e-07
1.733371.7143555.508085e-07
1.742461.7141995.688022e-07
1.75161.7140415.868904e-07
1.760791.7138826.050734e-07
1.770031.7137226.233518e-07
1.779311.713566.417261e-07
1.788641.7133976.601967e-07
1.798031.7132336.787642e-07
1.807461.7130676.974292e-07
1.816941.71297.161920e-07
1.826471.7127317.350533e-07
1.836051.7125617.540135e-07
1.845681.712397.730731e-07
1.855361.7122177.922328e-07
1.865091.7120428.114929e-07
1.874881.7118668.308541e-07
1.884711.7116888.503168e-07
1.89461.7115088.698816e-07
1.904541.7113278.895490e-07
1.914531.7111459.093196e-07
1.924571.710969.291940e-07
1.934671.7107749.491725e-07
1.944811.7105869.692559e-07
1.955011.7103969.894446e-07
1.965271.7102051.009739e-06
1.971.7101161.019100e-06
1.975581.7100121.101239e-06
1.985941.7098161.253818e-06
1.996361.7096191.407197e-06
2.006831.709421.561381e-06
2.017361.709221.716374e-06
2.027941.7090171.872180e-06
2.038581.7088122.028803e-06
2.049271.7086052.186247e-06
2.060021.7083962.344517e-06
2.070831.7081852.503618e-06
2.081691.7079722.663553e-06
2.092611.7077562.824327e-06
2.103581.7075392.985945e-06
2.114621.7073193.148410e-06
2.125711.7070973.311727e-06
2.136861.7068733.475902e-06
2.148071.7066463.640937e-06
2.159341.7064173.806838e-06
2.170661.7061863.973609e-06
2.182051.7059524.141255e-06
2.19351.7057164.309780e-06
2.2051.7054774.479190e-06
2.216571.7052364.649488e-06
2.22821.7049924.820679e-06
2.239881.7047464.992768e-06
2.251631.7044965.165760e-06
2.263441.7042455.339659e-06
2.275321.703995.514471e-06
2.287251.7037335.690199e-06
2.299251.7034735.866850e-06
2.311311.703216.044427e-06
2.323431.7029446.222935e-06
2.3251.7029096.246000e-06
2.335621.7026756.978970e-06
2.347871.7024037.824459e-06
2.360191.7021288.674383e-06
2.372571.701859.528765e-06
2.385011.7015691.038763e-05
2.397521.7012851.125100e-05
2.41011.7009981.211890e-05
2.422741.7007071.299135e-05
2.435451.7004131.386837e-05
2.448231.7001161.475000e-05
2.461071.6998151.563625e-05
2.473981.6995111.652715e-05
2.486951.6992031.742273e-05
2.51.6988911.832300e-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
—