Optical constants

Refractive index of N-BAF51 (SCHOTT)

N-BAF51: 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
1.65224
Extinction coefficient k
1.57801e-08
Permittivity ε1
2.72989
Permittivity ε2
5.21451e-08
Absorption coefficient α
0.00337473 cm⁻¹
Penetration depth δ = λ/(2πk)
5.92640e+09 nm
Abbe number Vd
44.959
Chromatic dispersion dn/dλ
-0.0741144 µm⁻¹
Group index ng
1.69579
Group velocity dispersion
138.724 fs²/mm
Dispersion parameter D
-756.815 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-BAF51 (SCHOTT): N-BAF51
schott_n_baf51 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-BAF51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_baf51.range_nm)  # (350, 2500) nm
eps = schott_n_baf51.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=1.51503623λ2λ2−0.00942734715+0.153621958λ2λ2−0.04308265+1.15427909λ2λ2−124.889868

Valid from 0.35 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.51503623
C30.00942734715
C40.153621958
C50.04308265
C61.15427909
C7124.889868

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.84e-07 1.04e-08 -1.8e-11 7.01e-07 8.47e-10 0.219
nd
1.65224
Vd
44.96
glass code
652450.333
glass status
standard
density
value: 3333
thermal expansion
value: 8.37e-06, temperature range: 243 343; value: 9.49e-06, temperature range: 293 573
dPgF
-0.0012
resistance
acid: 5.4; stain: 0.0; alkali: 1.3; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.88e-07 K⁻¹ at 633 nm, dn/dT = 6.95e-08 K⁻¹ at 1310 nm, dn/dT = 6.97e-09 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-BAF51 (SCHOTT), N-BAF51: n and k versus wavelength
λ (µm)nk
0.351.6962244.358300e-06
0.3517291.6954564.004425e-06
0.3534661.6946993.648803e-06
0.3552121.6939543.291423e-06
0.3569671.693222.932278e-06
0.358731.6924962.571360e-06
0.3605021.6917832.208658e-06
0.3622831.6910811.844165e-06
0.3640731.6903891.477871e-06
0.3651.6900351.288100e-06
0.3658711.6897071.218595e-06
0.3676791.6890341.074418e-06
0.3694951.6883719.295289e-07
0.371.6881898.892300e-07
0.371321.6877188.310949e-07
0.3731541.6870747.503152e-07
0.3749981.6864396.691366e-07
0.376851.6858135.875570e-07
0.3787121.6851955.055744e-07
0.381.6847754.488300e-07
0.3805821.6845864.370407e-07
0.3824621.6839863.989767e-07
0.3843521.6833933.607246e-07
0.386251.6828093.222835e-07
0.3881581.6822332.836526e-07
0.391.6816862.463600e-07
0.3900761.6816642.456200e-07
0.3920021.6811032.267404e-07
0.3939391.680552.077676e-07
0.3958851.6800041.887010e-07
0.397841.6794651.695403e-07
0.3998061.6789331.502849e-07
0.41.6788811.483800e-07
0.4017811.6784081.388364e-07
0.4037651.677891.281984e-07
0.4051.6775731.215800e-07
0.405761.6773791.196118e-07
0.4077641.6768751.144194e-07
0.4097781.6763771.092012e-07
0.4118031.6758851.039573e-07
0.4138371.67549.868749e-08
0.4158811.674929.339165e-08
0.4179351.6744478.806964e-08
0.421.673988.272134e-08
0.421.673988.272100e-08
0.4220751.6735198.009252e-08
0.424161.6730637.745089e-08
0.4262551.6726147.479622e-08
0.428361.6721697.212843e-08
0.4304761.6717316.944746e-08
0.4326031.6712976.675324e-08
0.434741.6708696.404572e-08
0.4361.6706216.244900e-08
0.4368871.6704476.178909e-08
0.4390451.6700296.018399e-08
0.4412141.6696175.857096e-08
0.4433941.6692095.694996e-08
0.4455841.6688075.532096e-08
0.4477851.6684095.368390e-08
0.4499971.6680165.203877e-08
0.452221.6676285.038550e-08
0.4544541.6672444.872407e-08
0.4566991.6668654.705443e-08
0.4589551.6664914.537654e-08
0.461.6663194.459900e-08
0.4612221.6661214.397151e-08
0.46351.6657554.280130e-08
0.465791.6653934.162532e-08
0.468091.6650364.044352e-08
0.4704031.6646833.925589e-08
0.4727261.6643343.806239e-08
0.4750621.6639893.686300e-08
0.4774081.6636483.565768e-08
0.4797671.6633113.444641e-08
0.4821361.6629783.322915e-08
0.4845181.6626483.200588e-08
0.4869121.6623233.077657e-08
0.4893171.6620012.954118e-08
0.4917341.6616832.829970e-08
0.4941631.6613682.705208e-08
0.4966041.6610572.579829e-08
0.4990571.6607492.453832e-08
0.51.6606322.405400e-08
0.5015221.6604452.377797e-08
0.5041.6601442.332875e-08
0.5064891.6598462.287732e-08
0.5089911.6595522.242365e-08
0.5115061.6592612.196774e-08
0.5140321.6589742.150958e-08
0.5165711.6586892.104916e-08
0.5191231.6584072.058646e-08
0.5216881.6581292.012148e-08
0.5242651.6578541.965420e-08
0.5268541.6575811.918461e-08
0.5294571.6573121.871271e-08
0.5320721.6570451.823847e-08
0.5347011.6567821.776189e-08
0.5373421.6565211.728295e-08
0.5399961.6562631.680165e-08
0.5426641.6560081.631797e-08
0.5453441.6557551.583190e-08
0.5461.6556941.571300e-08
0.5480381.6555051.566001e-08
0.5507451.6552581.558962e-08
0.5534661.6550131.551889e-08
0.55621.6547711.544780e-08
0.5589471.6545321.537637e-08
0.5617081.6542951.530458e-08
0.5644831.654061.523244e-08
0.5672721.6538281.515994e-08
0.5700741.6535981.508708e-08
0.572891.6533711.501387e-08
0.575721.6531461.494029e-08
0.5785641.6529231.486635e-08
0.581.6528121.482900e-08
0.5814221.6527021.500691e-08
0.5842941.6524841.536635e-08
0.587181.6522681.572757e-08
0.590081.6520541.609057e-08
0.5929951.6518431.645536e-08
0.5959251.6516331.682196e-08
0.5988681.6514261.719037e-08
0.6018271.651221.756059e-08
0.6047991.6510171.793265e-08
0.6077871.6508161.830654e-08
0.6107891.6506161.868228e-08
0.6138061.6504191.905988e-08
0.6168391.6502241.943934e-08
0.6198861.650031.982068e-08
0.621.6500231.983500e-08
0.6229481.6498381.992925e-08
0.6260251.6496492.002765e-08
0.6291171.6494612.012652e-08
0.6322251.6492752.022589e-08
0.6353481.649092.032575e-08
0.6384861.6489082.042611e-08
0.641641.6487272.052695e-08
0.644811.6485482.062830e-08
0.6479951.648372.073015e-08
0.6511961.6481942.083250e-08
0.6544131.648022.093535e-08
0.6576461.6478482.103872e-08
0.661.6477242.111400e-08
0.6608941.6476772.099190e-08
0.6641591.6475082.054611e-08
0.667441.647342.009812e-08
0.6707371.6471741.964792e-08
0.674051.6470091.919549e-08
0.677381.6468461.874083e-08
0.6807261.6466841.828392e-08
0.6840881.6465241.782475e-08
0.6874671.6463651.736332e-08
0.6908631.6462081.689960e-08
0.6942761.6460521.643360e-08
0.6977061.6458971.596529e-08
0.71.6457951.565200e-08
0.7011521.6457441.567776e-08
0.7046161.6455921.575521e-08
0.7080961.6454411.583304e-08
0.7115941.6452921.591126e-08
0.7151091.6451441.598986e-08
0.7186421.6449981.606885e-08
0.7221921.6448521.614823e-08
0.7257591.6447081.622800e-08
0.7293441.6445651.630817e-08
0.7329471.6444231.638873e-08
0.7365681.6442831.646969e-08
0.7402061.6441431.655105e-08
0.7438621.6440051.663281e-08
0.7475371.6438681.671498e-08
0.751231.6437321.679755e-08
0.754941.6435971.688053e-08
0.758671.6434631.696392e-08
0.7624171.643331.704772e-08
0.7661841.6431991.713194e-08
0.7699681.6430681.721657e-08
0.7737721.6429381.730162e-08
0.7775941.642811.738709e-08
0.7814351.6426821.747298e-08
0.7852951.6425551.755930e-08
0.7891741.642431.764604e-08
0.7930731.6423051.773321e-08
0.796991.6421811.782081e-08
0.8009271.6420591.790885e-08
0.8048841.6419371.799732e-08
0.808861.6418161.808622e-08
0.8128551.6416951.817557e-08
0.816871.6415761.826535e-08
0.8209061.6414581.835558e-08
0.8249611.641341.844626e-08
0.8290361.6412231.853738e-08
0.8331311.6411081.862896e-08
0.8372471.6409921.872098e-08
0.8413821.6408781.881347e-08
0.8455391.6407641.890640e-08
0.8497151.6406521.899980e-08
0.8539131.640541.909366e-08
0.8581311.6404281.918798e-08
0.862371.6403181.928277e-08
0.866631.6402081.937802e-08
0.8709111.6400991.947375e-08
0.8752131.639991.956995e-08
0.8795361.6398831.966663e-08
0.8838811.6397751.976378e-08
0.8882471.6396691.986141e-08
0.8926351.6395631.995952e-08
0.8970441.6394582.005812e-08
0.9014751.6393542.015721e-08
0.9059281.639252.025679e-08
0.9104031.6391462.035685e-08
0.9149011.6390432.045742e-08
0.919421.6389412.055847e-08
0.9239621.638842.066003e-08
0.9285261.6387392.076209e-08
0.9331131.6386382.086465e-08
0.9377221.6385382.096772e-08
0.9423541.6384392.107130e-08
0.9470091.638342.117540e-08
0.9516871.6382412.128000e-08
0.9563881.6381432.138512e-08
0.9611121.6380462.149076e-08
0.965861.6379492.159693e-08
0.9706311.6378522.170361e-08
0.9754261.6377562.181083e-08
0.9802441.637662.191857e-08
0.9850861.6375652.202685e-08
0.9899531.637472.213566e-08
0.9948431.6373762.224501e-08
0.9997571.6372822.235490e-08
1.00471.6371882.246533e-08
1.009661.6370952.257631e-08
1.014651.6370022.268783e-08
1.019661.6369092.279991e-08
1.024691.6368172.291254e-08
1.029761.6367252.302573e-08
1.034841.6366342.313947e-08
1.039961.6365422.325378e-08
1.045091.6364522.336865e-08
1.050251.6363612.348409e-08
1.055441.6362712.360010e-08
1.061.6361922.370200e-08
1.060661.636182.380634e-08
1.06591.6360912.463893e-08
1.071161.6360012.547564e-08
1.076451.6359122.631648e-08
1.081771.6358232.716148e-08
1.087111.6357342.801064e-08
1.092481.6356452.886401e-08
1.097881.6355572.972159e-08
1.10331.6354693.058340e-08
1.108751.6353813.144947e-08
1.114231.6352933.231982e-08
1.119731.6352053.319447e-08
1.125271.6351183.407344e-08
1.130821.6350313.495675e-08
1.136411.6349443.584443e-08
1.142021.6348573.673649e-08
1.147671.634773.763296e-08
1.153331.6346833.853385e-08
1.159031.6345963.943920e-08
1.164761.634514.034902e-08
1.170511.6344234.126333e-08
1.176291.6343374.218216e-08
1.18211.6342514.310552e-08
1.187941.6341644.403345e-08
1.193811.6340784.496596e-08
1.199711.6339924.590308e-08
1.205631.6339064.684483e-08
1.211591.633824.779123e-08
1.217571.6337344.874230e-08
1.223591.6336484.969808e-08
1.229631.6335625.065857e-08
1.235711.6334765.162381e-08
1.241811.633395.259381e-08
1.247951.6333035.356861e-08
1.254111.6332175.454823e-08
1.260311.6331315.553268e-08
1.266531.6330455.652199e-08
1.272791.6329595.751620e-08
1.279071.6328725.851531e-08
1.285391.6327865.951936e-08
1.291741.6326996.052837e-08
1.298121.6326136.154236e-08
1.304541.6325266.256136e-08
1.310981.6324396.358540e-08
1.317461.6323526.461449e-08
1.323961.6322656.564867e-08
1.33051.6321786.668796e-08
1.337081.6320916.773238e-08
1.343681.6320036.878196e-08
1.350321.6319156.983672e-08
1.356991.6318287.089669e-08
1.363691.6317397.196190e-08
1.370431.6316517.303238e-08
1.37721.6315637.410814e-08
1.3841.6314747.518921e-08
1.390841.6313857.627562e-08
1.397711.6312967.736740e-08
1.404611.6312067.846458e-08
1.411551.6311177.956717e-08
1.418521.6310278.067521e-08
1.425531.6309378.178873e-08
1.432571.6308468.290774e-08
1.439651.6307558.403228e-08
1.446761.6306648.516238e-08
1.453911.6305738.629806e-08
1.461091.6304818.743935e-08
1.468311.6303898.858627e-08
1.475561.6302978.973887e-08
1.482851.6302049.089715e-08
1.490171.6301119.206116e-08
1.497531.6300179.323092e-08
1.504931.6299249.440645e-08
1.512371.6298299.558779e-08
1.519841.6297359.677497e-08
1.527341.629649.796802e-08
1.531.6296069.839000e-08
1.534891.6295441.070004e-07
1.542471.6294481.203530e-07
1.550091.6293521.337715e-07
1.557751.6292551.472563e-07
1.565441.6291581.608077e-07
1.573181.629061.744261e-07
1.580951.6289621.881117e-07
1.588761.6288632.018650e-07
1.59661.6287642.156861e-07
1.604491.6286642.295756e-07
1.612421.6285642.435336e-07
1.620381.6284632.575607e-07
1.628391.6283622.716570e-07
1.636431.628262.858229e-07
1.644511.6281573.000588e-07
1.652641.6280543.143650e-07
1.66081.6279513.287419e-07
1.6691.6278463.431898e-07
1.677251.6277413.577091e-07
1.685531.6276363.723001e-07
1.693861.627533.869632e-07
1.702231.6274234.016987e-07
1.710641.6273154.165071e-07
1.719091.6272074.313885e-07
1.727581.6270994.463435e-07
1.736111.6269894.613723e-07
1.744691.6268794.764754e-07
1.753311.6267684.916531e-07
1.761971.6266565.069058e-07
1.770671.6265445.222338e-07
1.779421.626435.376375e-07
1.788211.6263165.531173e-07
1.797041.6262025.686736e-07
1.805921.6260865.843067e-07
1.814841.625976.000171e-07
1.82381.6258536.158050e-07
1.832811.6257346.316709e-07
1.841871.6256166.476153e-07
1.850961.6254966.636383e-07
1.860111.6253756.797406e-07
1.86931.6252546.959223e-07
1.878531.6251317.121840e-07
1.887811.6250087.285261e-07
1.897141.6248847.449488e-07
1.906511.6247587.614527e-07
1.915921.6246327.780381e-07
1.925391.6245057.947055e-07
1.93491.6243778.114551e-07
1.944461.6242488.282875e-07
1.954061.6241178.452031e-07
1.963721.6239868.622022e-07
1.971.6239018.732700e-07
1.973421.6238548.977678e-07
1.983161.6237219.676838e-07
1.992961.6235861.037945e-06
2.00281.6234511.108554e-06
2.01271.6233141.179511e-06
2.022641.6231761.250819e-06
2.032631.6230371.322479e-06
2.042671.6228971.394493e-06
2.052761.6227561.466862e-06
2.06291.6226131.539590e-06
2.073091.622471.612676e-06
2.083331.6223251.686124e-06
2.093631.6221791.759934e-06
2.103971.6220311.834109e-06
2.114361.6218821.908650e-06
2.12481.6217321.983560e-06
2.13531.6215812.058839e-06
2.145851.6214282.134491e-06
2.156451.6212742.210516e-06
2.16711.6211192.286917e-06
2.177811.6209622.363695e-06
2.188561.6208042.440852e-06
2.199371.6206442.518391e-06
2.210241.6204832.596312e-06
2.221161.6203212.674619e-06
2.232131.6201572.753312e-06
2.243161.6199912.832394e-06
2.254241.6198242.911867e-06
2.265371.6196552.991732e-06
2.276561.6194853.071991e-06
2.287811.6193133.152648e-06
2.299111.619143.233702e-06
2.310471.6189653.315157e-06
2.321881.6187883.397015e-06
2.3251.618743.419400e-06
2.333351.618613.534908e-06
2.344871.618433.694385e-06
2.356461.6182483.854649e-06
2.36811.6180644.015705e-06
2.37981.6178794.177556e-06
2.391551.6176924.340207e-06
2.403371.6175034.503661e-06
2.415241.6173124.667923e-06
2.427171.6171194.832996e-06
2.439161.6169254.998884e-06
2.451211.6167285.165592e-06
2.463311.616535.333124e-06
2.475481.6163295.501483e-06
2.487711.6161275.670674e-06
2.51.6159225.840700e-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
—