Optical constants

Refractive index of N-BAF4 (SCHOTT)

N-BAF4: n,k 0.365–2.5 µm

Data
formula 2 + tabulated k
Range
0.365–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.5 µm
Refractive index n
1.60568
Extinction coefficient k
1.57801e-08
Permittivity ε1
2.57821
Permittivity ε2
5.06757e-08
Absorption coefficient α
0.00337473 cm⁻¹
Penetration depth δ = λ/(2πk)
5.92640e+09 nm
Abbe number Vd
43.721
Chromatic dispersion dn/dλ
-0.0706226 µm⁻¹
Group index ng
1.64718
Group velocity dispersion
132.43 fs²/mm
Dispersion parameter D
-722.477 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-BAF4 (SCHOTT): N-BAF4
schott_n_baf4 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-BAF4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_baf4.range_nm)  # (365, 2500) nm
eps = schott_n_baf4.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=1.42056328λ2λ2−0.00942015382+0.102721269λ2λ2−0.0531087291+1.14380976λ2λ2−110.278856

Valid from 0.365 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.42056328
C30.00942015382
C40.102721269
C50.0531087291
C61.14380976
C7110.278856

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.39e-07 1.24e-08 -9e-12 6.17e-07 8.42e-10 0.242
nd
1.60568
Vd
43.72
glass code
606437.289
glass status
standard
density
value: 2889
thermal expansion
value: 7.24e-06, temperature range: 243 343; value: 8.29e-06, temperature range: 293 573
dPgF
0.003
resistance
acid: 1.0; stain: 0.0; alkali: 1.2; climatic: 1.0; phosphate: 1.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.34e-06 K⁻¹ at 633 nm, dn/dT = 6.27e-07 K⁻¹ at 1310 nm, dn/dT = 5.72e-07 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 418 wavelengths, the same grid as the API and the library
N-BAF4 (SCHOTT), N-BAF4: n and k versus wavelength
λ (µm)nk
0.3651.6425842.370400e-06
0.3667641.6419122.062964e-06
0.3685371.641251.754043e-06
0.371.6407141.499200e-06
0.3703191.6405981.472399e-06
0.3721091.6399571.321971e-06
0.3739081.6393261.170816e-06
0.3757151.6387041.018930e-06
0.3775321.6380928.663098e-07
0.3793571.6374897.129519e-07
0.381.6372796.588900e-07
0.381191.6368956.190767e-07
0.3830331.636315.574512e-07
0.3848851.6357344.955278e-07
0.3867451.6351664.333050e-07
0.3886151.6346063.707814e-07
0.391.6341983.244600e-07
0.3904941.6340553.171980e-07
0.3923811.6335112.894209e-07
0.3942781.6329752.615095e-07
0.3961841.6324472.334632e-07
0.3980991.6319262.052813e-07
0.41.6314191.773100e-07
0.4000241.6314131.771144e-07
0.4019571.6309071.610721e-07
0.40391.6304081.449522e-07
0.4051.6301291.358300e-07
0.4058531.6299151.328102e-07
0.4078151.629431.258639e-07
0.4097861.6289511.188839e-07
0.4117671.6284781.118702e-07
0.4137581.6280121.048226e-07
0.4157581.6275529.774090e-08
0.4177681.6270999.062499e-08
0.4197871.6266518.347468e-08
0.421.6266048.272100e-08
0.4218161.6262097.992588e-08
0.4238561.6257737.678810e-08
0.4259041.6253437.363515e-08
0.4279631.6249187.046696e-08
0.4300321.6244996.728345e-08
0.4321111.6240856.408456e-08
0.43421.6236766.087020e-08
0.4361.623335.810000e-08
0.4362991.6232735.791317e-08
0.4384081.6228745.659410e-08
0.4405271.6224815.526866e-08
0.4426571.6220935.393681e-08
0.4447971.6217095.259852e-08
0.4469471.6213315.125376e-08
0.4491071.6209574.990250e-08
0.4512781.6205874.854471e-08
0.453461.6202224.718036e-08
0.4556521.6198624.580941e-08
0.4578551.6195064.443183e-08
0.461.6191654.309000e-08
0.4600681.6191544.305773e-08
0.4622921.6188074.199933e-08
0.4645271.6184634.093581e-08
0.4667721.6181243.986715e-08
0.4690291.6177893.879332e-08
0.4712961.6174583.771431e-08
0.4735741.617133.663007e-08
0.4758631.6168073.554060e-08
0.4781641.6164873.444586e-08
0.4804751.6161713.334583e-08
0.4827981.6158593.224047e-08
0.4851321.615553.112978e-08
0.4874771.6152453.001372e-08
0.4898331.6149432.889226e-08
0.4922011.6146452.776538e-08
0.4945811.6143512.663305e-08
0.4969721.6140592.549525e-08
0.4993741.6137712.435195e-08
0.51.6136972.405400e-08
0.5017881.6134862.366167e-08
0.5042141.6132042.312939e-08
0.5066511.6129262.259454e-08
0.50911.612652.205710e-08
0.5115611.6123782.151706e-08
0.5140341.6121092.097442e-08
0.5165191.6118422.042915e-08
0.5190161.6115791.988124e-08
0.5215251.6113181.933069e-08
0.5240461.611061.877748e-08
0.5265791.6108051.822159e-08
0.5291251.6105531.766301e-08
0.5316831.6103041.710173e-08
0.5342531.6100571.653774e-08
0.5368351.6098131.597103e-08
0.5394311.6095711.540157e-08
0.5420381.6093321.482936e-08
0.5446581.6090961.425439e-08
0.5461.6089761.396000e-08
0.5472911.6088621.399301e-08
0.5499371.608631.406062e-08
0.5525951.6084011.412857e-08
0.5552671.6081741.419685e-08
0.5579511.607951.426545e-08
0.5606481.6077281.433439e-08
0.5633581.6075081.440366e-08
0.5660821.607291.447326e-08
0.5688181.6070751.454320e-08
0.5715681.6068621.461348e-08
0.5743311.6066511.468410e-08
0.5771071.6064421.475506e-08
0.5798971.6062351.482637e-08
0.581.6062281.482900e-08
0.58271.6060311.516693e-08
0.5855171.6058281.551946e-08
0.5883471.6056281.587369e-08
0.5911921.6054291.622963e-08
0.5940491.6052321.658729e-08
0.5969211.6050381.694668e-08
0.5998071.6048451.730781e-08
0.6027061.6046541.767068e-08
0.605621.6044651.803531e-08
0.6085471.6042781.840170e-08
0.6114891.6040921.876986e-08
0.6144451.6039081.913980e-08
0.6174151.6037261.951153e-08
0.621.603571.983500e-08
0.62041.6035461.982658e-08
0.6233991.6033681.976345e-08
0.6264131.6031911.970001e-08
0.6294411.6030161.963627e-08
0.6324831.6028421.957222e-08
0.6355411.6026711.950786e-08
0.6386131.60251.944319e-08
0.64171.6023321.937821e-08
0.6448021.6021641.931291e-08
0.6479191.6019991.924730e-08
0.6510511.6018351.918137e-08
0.6541991.6016721.911512e-08
0.6573611.6015111.904855e-08
0.661.6013781.899300e-08
0.6605391.6013511.891777e-08
0.6637321.6011931.847202e-08
0.666941.6010361.802411e-08
0.6701651.600881.757403e-08
0.6734041.6007261.712178e-08
0.6766591.6005731.666734e-08
0.679931.6004221.621071e-08
0.6832171.6002711.575187e-08
0.686521.6001231.529081e-08
0.6898391.5999751.482752e-08
0.6931731.5998291.436199e-08
0.6965241.5996831.389421e-08
0.6998911.5995391.342417e-08
0.71.5995351.340900e-08
0.7032751.5993971.347173e-08
0.7066741.5992551.353685e-08
0.710091.5991151.360229e-08
0.7135231.5989761.366804e-08
0.7169721.5988381.373411e-08
0.7204381.5987011.380051e-08
0.7239211.5985651.386722e-08
0.727421.598431.393425e-08
0.7309371.5982961.400161e-08
0.734471.5981641.406930e-08
0.7380211.5980321.413731e-08
0.7415881.5979011.420565e-08
0.7451731.5977721.427432e-08
0.7487751.5976431.434332e-08
0.7523951.5975161.441266e-08
0.7560321.5973891.448233e-08
0.7596871.5972631.455234e-08
0.7633591.5971381.462268e-08
0.7670491.5970151.469337e-08
0.7707571.5968921.476440e-08
0.7744831.596771.483577e-08
0.7782271.5966481.490749e-08
0.7819891.5965281.497955e-08
0.7857691.5964091.505196e-08
0.7895681.596291.512472e-08
0.7933851.5961721.519784e-08
0.797221.5960551.527130e-08
0.8010741.5959391.534512e-08
0.8049461.5958241.541930e-08
0.8088371.5957091.549384e-08
0.8127471.5955951.556874e-08
0.8166761.5954821.564400e-08
0.8206241.595371.571962e-08
0.8245911.5952581.579561e-08
0.8285771.5951471.587197e-08
0.8325831.5950371.594869e-08
0.8366071.5949271.602579e-08
0.8406521.5948191.610326e-08
0.8447151.594711.618110e-08
0.8487991.5946031.625932e-08
0.8529021.5944961.633792e-08
0.8570251.5943891.641690e-08
0.8611681.5942841.649626e-08
0.8653311.5941791.657600e-08
0.8695141.5940741.665613e-08
0.8737171.593971.673665e-08
0.8779411.5938671.681756e-08
0.8821851.5937641.689885e-08
0.8864491.5936621.698054e-08
0.8907351.593561.706263e-08
0.895041.5934591.714511e-08
0.8993671.5933581.722799e-08
0.9037151.5932581.731127e-08
0.9080831.5931581.739495e-08
0.9124731.5930591.747904e-08
0.9168841.5929611.756353e-08
0.9213161.5928621.764844e-08
0.925771.5927651.773375e-08
0.9302451.5926671.781948e-08
0.9347421.592571.790562e-08
0.9392611.5924741.799217e-08
0.9438011.5923781.807915e-08
0.9483641.5922821.816654e-08
0.9529481.5921871.825436e-08
0.9575551.5920921.834260e-08
0.9621841.5919971.843127e-08
0.9668351.5919031.852037e-08
0.9715091.5918091.860990e-08
0.9762051.5917161.869986e-08
0.9809241.5916231.879026e-08
0.9856661.591531.888109e-08
0.9904311.5914371.897236e-08
0.9952191.5913451.906407e-08
1.000031.5912531.915623e-08
1.004861.5911611.924883e-08
1.009721.591071.934188e-08
1.01461.5909791.943538e-08
1.019511.5908881.952933e-08
1.024441.5907981.962374e-08
1.029391.5907071.971860e-08
1.034361.5906171.981392e-08
1.039361.5905271.990970e-08
1.044391.5904372.000595e-08
1.049441.5903482.010266e-08
1.054511.5902592.019984e-08
1.059611.590172.029748e-08
1.061.5901632.030500e-08
1.064731.5900812.124104e-08
1.069881.5899922.225965e-08
1.075051.5899032.328318e-08
1.080251.5898152.431167e-08
1.085471.5897262.534512e-08
1.090711.5896382.638357e-08
1.095991.589552.742704e-08
1.101291.5894622.847555e-08
1.106611.5893742.952913e-08
1.111961.5892863.058781e-08
1.117331.5891993.165160e-08
1.122741.5891113.272054e-08
1.128161.5890233.379464e-08
1.133621.5889363.487393e-08
1.13911.5888483.595845e-08
1.14461.5887613.704820e-08
1.150141.5886733.814322e-08
1.15571.5885863.924354e-08
1.161281.5884994.034918e-08
1.16691.5884114.146016e-08
1.172541.5883244.257651e-08
1.17821.5882364.369825e-08
1.18391.5881494.482542e-08
1.189621.5880624.595804e-08
1.195371.5879744.709613e-08
1.201151.5878874.823973e-08
1.206961.5877994.938885e-08
1.212791.5877115.054353e-08
1.218661.5876235.170379e-08
1.224551.5875365.286966e-08
1.230471.5874485.404117e-08
1.236421.587365.521833e-08
1.242391.5872725.640119e-08
1.24841.5871835.758977e-08
1.254431.5870955.878409e-08
1.26051.5870065.998419e-08
1.266591.5869186.119008e-08
1.272711.5868296.240181e-08
1.278871.586746.361939e-08
1.285051.5866516.484286e-08
1.291261.5865616.607225e-08
1.29751.5864726.730758e-08
1.303771.5863826.854887e-08
1.310081.5862926.979617e-08
1.316411.5862027.104950e-08
1.322771.5861117.230889e-08
1.329171.586027.357437e-08
1.335591.585937.484596e-08
1.342051.5858387.612370e-08
1.348541.5857477.740762e-08
1.355061.5856557.869774e-08
1.361611.5855637.999410e-08
1.368191.5854718.129673e-08
1.37481.5853788.260565e-08
1.381451.5852858.392090e-08
1.388131.5851928.524251e-08
1.394841.5850988.657051e-08
1.401581.5850058.790492e-08
1.408351.584918.924579e-08
1.415161.5848169.059314e-08
1.4221.5847219.194700e-08
1.428881.5846259.330741e-08
1.435781.5845299.467440e-08
1.442731.5844339.604799e-08
1.44971.5843379.742822e-08
1.456711.5842399.881512e-08
1.463751.5841421.002087e-07
1.470831.5840441.016091e-07
1.477941.5839461.030162e-07
1.485081.5838471.044301e-07
1.492261.5837481.058509e-07
1.499471.5836481.072785e-07
1.506721.5835481.087130e-07
1.5141.5834471.101545e-07
1.521321.5833451.116029e-07
1.528681.5832441.130583e-07
1.531.5832251.133200e-07
1.536071.5831411.218341e-07
1.543491.5830381.322539e-07
1.550951.5829351.427241e-07
1.558451.5828311.532448e-07
1.565991.5827261.638164e-07
1.573561.5826211.744392e-07
1.581161.5825151.851133e-07
1.588811.5824091.958389e-07
1.596491.5823022.066165e-07
1.60421.5821942.174461e-07
1.611961.5820862.283281e-07
1.619751.5819772.392626e-07
1.627581.5818672.502501e-07
1.635451.5817572.612906e-07
1.643351.5816462.723846e-07
1.65131.5815342.835321e-07
1.659281.5814222.947336e-07
1.66731.5813093.059892e-07
1.675361.5811953.172992e-07
1.683461.581083.286638e-07
1.69161.5809653.400834e-07
1.699781.5808483.515583e-07
1.707991.5807313.630885e-07
1.716251.5806143.746746e-07
1.724551.5804953.863166e-07
1.732881.5803753.980149e-07
1.741261.5802554.097698e-07
1.749681.5801344.215815e-07
1.758131.5800124.334502e-07
1.766631.5798894.453764e-07
1.775171.5797654.573602e-07
1.783761.5796414.694020e-07
1.792381.5795154.815019e-07
1.801041.5793894.936603e-07
1.809751.5792615.058776e-07
1.81851.5791335.181538e-07
1.827291.5790035.304895e-07
1.836121.5788735.428847e-07
1.8451.5787415.553399e-07
1.853921.5786095.678553e-07
1.862881.5784755.804312e-07
1.871881.5783415.930678e-07
1.880931.5782056.057656e-07
1.890021.5780686.185247e-07
1.899161.5779316.313456e-07
1.908341.5777926.442284e-07
1.917571.5776526.571734e-07
1.926841.577516.701811e-07
1.936151.5773686.832516e-07
1.945511.5772256.963853e-07
1.954921.577087.095825e-07
1.964371.5769347.228435e-07
1.971.5768477.307500e-07
1.973861.5767877.587273e-07
1.98341.5766388.278597e-07
1.992991.5764898.973262e-07
2.002631.5763389.671285e-07
2.012311.5761861.037268e-06
2.022031.5760321.107747e-06
2.031811.5758771.178566e-06
2.041631.5757211.249728e-06
2.05151.5755631.321234e-06
2.061421.5754041.393086e-06
2.071381.5752441.465285e-06
2.08141.5750821.537832e-06
2.091461.5749191.610731e-06
2.101571.5747541.683982e-06
2.111731.5745881.757587e-06
2.121931.5744211.831548e-06
2.132191.5742511.905866e-06
2.14251.5740811.980544e-06
2.152861.5739082.055583e-06
2.163261.5737342.130984e-06
2.173721.5735592.206750e-06
2.184231.5733822.282882e-06
2.194791.5732032.359382e-06
2.20541.5730232.436252e-06
2.216061.5728412.513494e-06
2.226771.5726572.591109e-06
2.237541.5724712.669099e-06
2.248351.5722842.747466e-06
2.259221.5720952.826212e-06
2.270141.5719042.905339e-06
2.281121.5717112.984848e-06
2.292141.5715173.064742e-06
2.303221.5713213.145021e-06
2.314361.5711223.225689e-06
2.3251.5709323.302800e-06
2.325541.5709223.314008e-06
2.336791.570723.545308e-06
2.348081.5705163.777726e-06
2.359431.570314.011267e-06
2.370841.5701014.245937e-06
2.38231.5698914.481742e-06
2.393821.5696794.718686e-06
2.405391.5694644.956776e-06
2.417021.5692485.196017e-06
2.42871.5690295.436414e-06
2.440441.5688085.677974e-06
2.452241.5685855.920701e-06
2.464091.568366.164601e-06
2.4761.5681326.409681e-06
2.487971.5679026.655945e-06
2.51.567676.903400e-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
—