Optical constants

Refractive index of N-LAF34 (SCHOTT)

N-LAF34: 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
1.7725
Extinction coefficient k
9.37538e-09
Permittivity ε1
3.14175
Permittivity ε2
3.32357e-08
Absorption coefficient α
0.00200501 cm⁻¹
Penetration depth δ = λ/(2πk)
9.97501e+09 nm
Abbe number Vd
49.62
Chromatic dispersion dn/dλ
-0.0800923 µm⁻¹
Group index ng
1.81956
Group velocity dispersion
143.92 fs²/mm
Dispersion parameter D
-785.161 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-LAF34 (SCHOTT): N-LAF34
schott_n_laf34 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAF34", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_laf34.range_nm)  # (310, 2500) nm
eps = schott_n_laf34.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=1.75836958λ2λ2−0.00872810026+0.313537785λ2λ2−0.0293020832+1.18925231λ2λ2−85.1780644

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.75836958
C30.00872810026
C40.313537785
C50.0293020832
C61.18925231
C785.1780644

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.89e-06 1.02e-08 -1.91e-11 5.88e-07 7.57e-10 0.181
nd
1.7725
Vd
49.62
glass code
773496.424
glass status
standard
density
value: 4240
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.0085
resistance
acid: 51.3; stain: 1.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.30e-06 K⁻¹ at 633 nm, dn/dT = 2.50e-06 K⁻¹ at 1310 nm, dn/dT = 2.43e-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-LAF34 (SCHOTT), N-LAF34: n and k versus wavelength
λ (µm)nk
0.311.8394993.564100e-06
0.3116261.8383923.339926e-06
0.3132611.8373013.114577e-06
0.3149041.8362272.888045e-06
0.3165561.8351692.660325e-06
0.3182161.8341272.431411e-06
0.3198851.83312.201296e-06
0.321.8330312.185500e-06
0.3215631.8320892.072356e-06
0.323251.8310931.950284e-06
0.3249461.8301111.827571e-06
0.326651.8291441.704214e-06
0.3283641.828191.580210e-06
0.3300861.8272511.455556e-06
0.3318181.8263251.330248e-06
0.3335581.8254121.204283e-06
0.3341.8251831.172300e-06
0.3353081.8245121.122998e-06
0.3370671.8236261.056689e-06
0.3388351.8227519.900331e-07
0.3406121.8218899.230270e-07
0.3423991.8210398.556695e-07
0.3441951.8202017.879587e-07
0.3461.8193757.198927e-07
0.3478151.818566.514697e-07
0.349641.8177565.826877e-07
0.351.8175995.691000e-07
0.3514741.8169645.408215e-07
0.3533171.8161825.054419e-07
0.3551711.8154114.698768e-07
0.3570341.814654.341251e-07
0.3589061.81393.981858e-07
0.3607891.8131593.620581e-07
0.3626821.8124293.257408e-07
0.3645841.8117092.892331e-07
0.3651.8115532.812500e-07
0.3664961.8109982.636043e-07
0.3684191.8102962.409348e-07
0.371.8097292.222900e-07
0.3703511.8096042.193843e-07
0.3722941.8089212.033204e-07
0.3742471.8082461.871722e-07
0.376211.8075811.709393e-07
0.3781831.8069241.546213e-07
0.381.806331.396000e-07
0.3801671.8062761.387947e-07
0.3821611.8056371.291878e-07
0.3841661.8050051.195306e-07
0.3861811.8043821.098227e-07
0.3882071.8037661.000638e-07
0.391.8032319.142500e-08
0.3902431.8031599.079010e-08
0.392291.8025598.544413e-08
0.3943481.8019678.007011e-08
0.3964161.8013827.466791e-08
0.3984961.8008056.923737e-08
0.41.8003946.530900e-08
0.4005861.8002356.413739e-08
0.4026871.7996725.993697e-08
0.40481.7991165.571451e-08
0.4051.7990645.531400e-08
0.4069231.7985685.326650e-08
0.4090581.7980255.099383e-08
0.4112031.797494.870923e-08
0.413361.7969614.641265e-08
0.4155281.7964394.410402e-08
0.4177081.7959234.178328e-08
0.4198991.7954143.945037e-08
0.421.7953913.934300e-08
0.4221021.7949113.823040e-08
0.4243161.7944143.705829e-08
0.4265421.7939223.588004e-08
0.4287791.7934373.469561e-08
0.4310281.7929583.350497e-08
0.4332891.7924843.230808e-08
0.4355621.7920173.110492e-08
0.4361.7919273.087300e-08
0.4378471.7915543.008595e-08
0.4401431.7910982.910707e-08
0.4424521.7906462.812306e-08
0.4447731.79022.713388e-08
0.4471061.789762.613952e-08
0.4494511.7893242.513994e-08
0.4518091.7888942.413512e-08
0.4541791.7884692.312503e-08
0.4565611.7880492.210963e-08
0.4589561.7876332.108892e-08
0.461.7874542.064400e-08
0.4613641.7872232.032138e-08
0.4637841.7868171.974880e-08
0.4662161.7864161.917320e-08
0.4686621.7860191.859459e-08
0.471121.7856271.801295e-08
0.4735921.785241.742825e-08
0.4760761.7848571.684048e-08
0.4785731.7844791.624964e-08
0.4810831.7841041.565569e-08
0.4836071.7837341.505863e-08
0.4861441.7833681.445843e-08
0.4886941.7830071.385509e-08
0.4912571.7826491.324858e-08
0.4938341.7822961.263889e-08
0.4964241.7819461.202601e-08
0.4990281.78161.140991e-08
0.51.7814731.118000e-08
0.5016461.7812581.102921e-08
0.5042771.780921.078814e-08
0.5069221.7805861.054581e-08
0.5095821.7802551.030221e-08
0.5122551.7799281.005733e-08
0.5149421.7796059.811160e-09
0.5176431.7792859.563703e-09
0.5203581.7789699.314948e-09
0.5230871.7786569.064888e-09
0.5258311.7783468.813516e-09
0.528591.778048.560826e-09
0.5313621.7777378.306810e-09
0.5341491.7774388.051462e-09
0.5369511.7771417.794775e-09
0.5397681.7768487.536741e-09
0.5425991.7765587.277353e-09
0.5454451.7762717.016605e-09
0.5461.7762156.965800e-09
0.5483071.7759877.121038e-09
0.5511831.7757067.314610e-09
0.5540741.7754287.509197e-09
0.556981.7751537.704805e-09
0.5599021.774887.901439e-09
0.5628391.7746118.099104e-09
0.5657911.7743448.297807e-09
0.5687591.7740818.497551e-09
0.5717421.773828.698343e-09
0.5747421.7735618.900189e-09
0.5777561.7733059.103093e-09
0.581.7731179.254100e-09
0.5807871.7730529.266657e-09
0.5838331.7728029.315272e-09
0.5868961.7725539.364141e-09
0.5899741.7723089.413267e-09
0.5930691.7720659.462651e-09
0.596181.7718249.512294e-09
0.5993071.7715869.562197e-09
0.6024511.771359.612361e-09
0.6056111.7711179.662789e-09
0.6087881.7708859.713482e-09
0.6119811.7706569.764440e-09
0.6151911.770439.815666e-09
0.6184181.7702059.867160e-09
0.621.7700969.892400e-09
0.6216621.7699839.831222e-09
0.6249231.7697639.711205e-09
0.6282011.7695459.590557e-09
0.6314961.7693299.469277e-09
0.6348091.7691159.347360e-09
0.6381391.7689039.224804e-09
0.6414861.7686939.101606e-09
0.6448511.7684858.977761e-09
0.6482341.7682798.853266e-09
0.6516341.7680758.728118e-09
0.6550521.7678738.602314e-09
0.6584881.7676738.475850e-09
0.661.7675868.420200e-09
0.6619421.7674758.444976e-09
0.6654141.7672788.489272e-09
0.6689051.7670838.533801e-09
0.6724131.766898.578564e-09
0.6759411.7666998.623561e-09
0.6794861.7665098.668795e-09
0.683051.7663218.714265e-09
0.6866331.7661358.759974e-09
0.6902351.765958.805923e-09
0.6938561.7657678.852113e-09
0.6974951.7655868.898545e-09
0.71.7654628.930500e-09
0.7011541.7654068.923526e-09
0.7048321.7652288.901300e-09
0.7085291.7650518.878957e-09
0.7122461.7648758.856496e-09
0.7159821.7647028.833918e-09
0.7197371.7645298.811221e-09
0.7235131.7643588.788405e-09
0.7273081.7641898.765470e-09
0.7311231.7640218.742414e-09
0.7349581.7638548.719237e-09
0.7388131.7636888.695939e-09
0.7426891.7635248.672519e-09
0.7465841.7633618.648975e-09
0.7505011.76328.625308e-09
0.7544371.763048.601517e-09
0.7583951.7628818.577602e-09
0.7623731.7627238.553560e-09
0.7663721.7625668.529393e-09
0.7703921.7624118.505099e-09
0.7744331.7622568.480678e-09
0.7784951.7621038.456128e-09
0.7825791.7619518.431449e-09
0.7866841.76188.406642e-09
0.790811.761658.381704e-09
0.7949581.7615028.356635e-09
0.7991281.7613548.331435e-09
0.803321.7612078.306102e-09
0.8075341.7610628.280637e-09
0.811771.7609178.255038e-09
0.8160281.7607738.229305e-09
0.8203081.760638.203436e-09
0.8246111.7604898.177432e-09
0.8289371.7603488.151292e-09
0.8332851.7602088.125015e-09
0.8376561.7600698.098599e-09
0.842051.759938.072046e-09
0.8464671.7597938.045353e-09
0.8509071.7596568.018519e-09
0.855371.7595217.991546e-09
0.8598571.7593867.964430e-09
0.8643671.7592527.937173e-09
0.8689011.7591187.909772e-09
0.8734591.7589867.882228e-09
0.8780411.7588547.854539e-09
0.8826471.7587237.826705e-09
0.8872771.7585927.798725e-09
0.8919311.7584637.770598e-09
0.8966091.7583347.742324e-09
0.9013131.7582057.713901e-09
0.906041.7580787.685329e-09
0.9107931.757957.656608e-09
0.9155711.7578247.627736e-09
0.9203731.7576987.598712e-09
0.9252011.7575737.569536e-09
0.9300541.7574487.540207e-09
0.9349331.7573247.510724e-09
0.9398371.75727.481087e-09
0.9447671.7570777.451294e-09
0.9497221.7569547.421344e-09
0.9547041.7568327.391238e-09
0.9597121.7567117.360974e-09
0.9647461.7565897.330551e-09
0.9698071.7564697.299968e-09
0.9748941.7563487.269225e-09
0.9800081.7562287.238321e-09
0.9851481.7561097.207254e-09
0.9903161.755997.176025e-09
0.995511.7558717.144632e-09
1.000731.7557537.113074e-09
1.005981.7556357.081351e-09
1.011261.7555177.049461e-09
1.016561.75547.017404e-09
1.02191.7552836.985179e-09
1.027261.7551666.952785e-09
1.032641.755056.920220e-09
1.038061.7549346.887485e-09
1.043511.7548186.854579e-09
1.048981.7547026.821499e-09
1.054481.7545876.788247e-09
1.061.7544726.754900e-09
1.060011.7544726.758490e-09
1.065571.7543578.255565e-09
1.071161.7542429.760492e-09
1.076781.7541271.127331e-08
1.082431.7540131.279407e-08
1.088111.7538981.432281e-08
1.093821.7537841.585956e-08
1.099551.753671.740437e-08
1.105321.7535561.895729e-08
1.111121.7534422.051835e-08
1.116951.7533282.208760e-08
1.122811.7532142.366509e-08
1.12871.7531012.525085e-08
1.134621.7529872.684492e-08
1.140571.7528732.844736e-08
1.146551.752763.005820e-08
1.152561.7526463.167750e-08
1.158611.7525323.330528e-08
1.164691.7524193.494161e-08
1.17081.7523053.658652e-08
1.176941.7521913.824005e-08
1.183111.7520773.990226e-08
1.189321.7519634.157319e-08
1.195561.7518494.325289e-08
1.201831.7517354.494139e-08
1.208131.7516214.663875e-08
1.214471.7515064.834502e-08
1.220841.7513925.006024e-08
1.227241.7512775.178445e-08
1.233681.7511625.351771e-08
1.240151.7510475.526005e-08
1.246661.7509315.701154e-08
1.25321.7508165.877222e-08
1.259771.75076.054213e-08
1.266381.7505846.232133e-08
1.273021.7504686.410985e-08
1.27971.7503516.590776e-08
1.286411.7502346.771510e-08
1.293161.7501176.953192e-08
1.299941.7499997.135828e-08
1.306761.7498827.319421e-08
1.313621.7497637.503977e-08
1.320511.7496457.689501e-08
1.327431.7495267.875999e-08
1.33441.7494078.063474e-08
1.34141.7492878.251933e-08
1.348431.7491678.441381e-08
1.355511.7490468.631822e-08
1.362621.7489258.823263e-08
1.369761.7488039.015707e-08
1.376951.7486819.209161e-08
1.384171.7485599.403630e-08
1.391431.7484369.599119e-08
1.398731.7483129.795633e-08
1.406071.7481889.993178e-08
1.413441.7480641.019176e-07
1.420861.7479391.039138e-07
1.428311.7478131.059205e-07
1.43581.7476861.079377e-07
1.443331.7475591.099656e-07
1.45091.7474321.120040e-07
1.458521.7473031.140531e-07
1.466171.7471741.161130e-07
1.473861.7470451.181837e-07
1.481591.7469141.202653e-07
1.489361.7467831.223577e-07
1.497171.7466521.244612e-07
1.505031.7465191.265757e-07
1.512921.7463861.287012e-07
1.520861.7462521.308380e-07
1.528831.7461171.329859e-07
1.531.7460971.333000e-07
1.536851.7459811.450495e-07
1.544911.7458451.588713e-07
1.553021.7457071.727657e-07
1.561161.7455691.867329e-07
1.569351.745432.007734e-07
1.577591.745292.148875e-07
1.585861.7451492.290757e-07
1.594181.7450072.433383e-07
1.602541.7448642.576757e-07
1.610951.7447212.720884e-07
1.61941.7445762.865766e-07
1.627891.744433.011408e-07
1.636431.7442833.157814e-07
1.645021.7441353.304988e-07
1.653641.7439863.452934e-07
1.662321.7438363.601657e-07
1.671041.7436853.751159e-07
1.67981.7435333.901445e-07
1.688611.7433794.052520e-07
1.697471.7432254.204387e-07
1.706381.7430694.357051e-07
1.715331.7429124.510516e-07
1.724321.7427544.664786e-07
1.733371.7425944.819865e-07
1.742461.7424334.975757e-07
1.75161.7422715.132467e-07
1.760791.7421085.289999e-07
1.770031.7419435.448358e-07
1.779311.7417775.607547e-07
1.788641.741615.767571e-07
1.798031.7414415.928434e-07
1.807461.7412716.090142e-07
1.816941.7410996.252697e-07
1.826471.7409266.416106e-07
1.836051.7407516.580371e-07
1.845681.7405756.745498e-07
1.855361.7403976.911491e-07
1.865091.7402187.078355e-07
1.874881.7400377.246095e-07
1.884711.7398547.414714e-07
1.89461.739677.584217e-07
1.904541.7394847.754610e-07
1.914531.7392977.925896e-07
1.924571.7391088.098081e-07
1.934671.7389178.271170e-07
1.944811.7387248.445166e-07
1.955011.7385298.620074e-07
1.965271.7383338.795901e-07
1.971.7382428.877000e-07
1.975581.7381349.668750e-07
1.985941.7379341.113949e-06
1.996361.7377321.261794e-06
2.006831.7375281.410414e-06
2.017361.7373221.559814e-06
2.027941.7371141.709998e-06
2.038581.7369041.860970e-06
2.049271.7366922.012733e-06
2.060021.7364782.165293e-06
2.070831.7362612.318653e-06
2.081691.7360432.472817e-06
2.092611.7358222.627790e-06
2.103581.7355992.783576e-06
2.114621.7353742.940179e-06
2.125711.7351473.097604e-06
2.136861.7349173.255854e-06
2.148071.7346853.414934e-06
2.159341.734453.574849e-06
2.170661.7342133.735603e-06
2.182051.7339743.897200e-06
2.19351.7337324.059644e-06
2.2051.7334874.222941e-06
2.216571.733244.387094e-06
2.22821.732994.552108e-06
2.239881.7327384.717988e-06
2.251631.7324834.884738e-06
2.263441.7322255.052363e-06
2.275321.7319655.220866e-06
2.287251.7317015.390254e-06
2.299251.7314355.560531e-06
2.311311.7311665.731700e-06
2.323431.7308945.903767e-06
2.3251.7308595.926000e-06
2.335621.7306196.519379e-06
2.347871.7303417.203850e-06
2.360191.730067.891910e-06
2.372571.7297768.583580e-06
2.385011.7294889.278878e-06
2.397521.7291989.977824e-06
2.41011.7289041.068044e-05
2.422741.7286071.138673e-05
2.435451.7283061.209673e-05
2.448231.7280021.281046e-05
2.461071.7276951.352793e-05
2.473981.7273841.424916e-05
2.486951.727071.497418e-05
2.51.7267521.570300e-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
—