Optical constants

Refractive index of N-BALF5 (SCHOTT)

N-BALF5: 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
1.54739
Extinction coefficient k
1.01298e-08
Permittivity ε1
2.39441
Permittivity ε2
3.13494e-08
Absorption coefficient α
0.00216635 cm⁻¹
Penetration depth δ = λ/(2πk)
9.23212e+09 nm
Abbe number Vd
53.631
Chromatic dispersion dn/dλ
-0.052512 µm⁻¹
Group index ng
1.57824
Group velocity dispersion
93.3871 fs²/mm
Dispersion parameter D
-509.476 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-BALF5 (SCHOTT): N-BALF5
schott_n_balf5 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-BALF5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_balf5.range_nm)  # (350, 2500) nm
eps = schott_n_balf5.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=1.28385965λ2λ2−0.00825815975+0.0719300942λ2λ2−0.0441920027+1.05048927λ2λ2−107.097324

Valid from 0.35 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.28385965
C30.00825815975
C40.0719300942
C50.0441920027
C61.05048927
C7107.097324

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.14e-06 1.29e-08 -1.46e-11 5.02e-07 5.87e-10 0.219
nd
1.54739
Vd
53.63
glass code
547536.261
glass status
standard
density
value: 2614
thermal expansion
value: 7.34e-06, temperature range: 243 343; value: 8.43e-06, temperature range: 293 573
dPgF
-0.0004
resistance
acid: 1.0; stain: 0.0; alkali: 2.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.15e-06 K⁻¹ at 633 nm, dn/dT = 6.33e-07 K⁻¹ at 1310 nm, dn/dT = 5.92e-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 419 wavelengths, the same grid as the API and the library
N-BALF5 (SCHOTT), N-BALF5: n and k versus wavelength
λ (µm)nk
0.351.5773352.290300e-06
0.3517291.5768262.094724e-06
0.3534661.5763241.898182e-06
0.3552121.5758291.700668e-06
0.3569671.5753411.502179e-06
0.358731.574861.302710e-06
0.3605021.5743861.102256e-06
0.3622831.5739189.008107e-07
0.3640731.5734576.983707e-07
0.3651.5732215.934900e-07
0.3658711.5730025.603606e-07
0.3676791.5725534.916392e-07
0.3694951.5721114.225783e-07
0.371.5719894.033700e-07
0.371321.5716743.760726e-07
0.3731541.5712443.381425e-07
0.3749981.5708193.000251e-07
0.376851.5703992.617193e-07
0.3787121.5699862.232243e-07
0.381.5697041.965800e-07
0.3805821.5695771.911608e-07
0.3824621.5691751.736638e-07
0.3843521.5687771.560803e-07
0.386251.5683841.384100e-07
0.3881581.5679971.206524e-07
0.391.5676291.035100e-07
0.3900761.5676141.031509e-07
0.3920021.5672379.398875e-08
0.3939391.5668648.478137e-08
0.3958851.5664967.552851e-08
0.397841.5661336.622994e-08
0.3998061.5657745.688544e-08
0.41.5657395.596100e-08
0.4017811.5654195.238855e-08
0.4037651.5650694.840645e-08
0.4051.5648554.592900e-08
0.405761.5647244.510905e-08
0.4077641.5643824.294581e-08
0.4097781.5640454.077189e-08
0.4118031.5637123.858723e-08
0.4138371.5633833.639178e-08
0.4158811.5630583.418548e-08
0.4179351.5627373.196829e-08
0.421.562422.974014e-08
0.421.562422.974000e-08
0.4220751.5621072.878635e-08
0.424161.5617972.782792e-08
0.4262551.5614912.686476e-08
0.428361.5611892.589685e-08
0.4304761.560892.492415e-08
0.4326031.5605952.394665e-08
0.434741.5603032.296432e-08
0.4361.5601332.238500e-08
0.4368871.5600142.221095e-08
0.4390451.5597292.178760e-08
0.4412141.5594482.136215e-08
0.4433941.5591692.093461e-08
0.4455841.5588942.050495e-08
0.4477851.5586222.007318e-08
0.4499971.5583531.963926e-08
0.452221.5580871.920321e-08
0.4544541.5578241.876500e-08
0.4566991.5575641.832463e-08
0.4589551.5573071.788208e-08
0.461.5571891.767700e-08
0.4612221.5570531.752756e-08
0.46351.5568021.724886e-08
0.465791.5565531.696879e-08
0.468091.5563071.668733e-08
0.4704031.5560641.640448e-08
0.4727261.5558241.612024e-08
0.4750621.5555861.583459e-08
0.4774081.5553511.554753e-08
0.4797671.5551191.525906e-08
0.4821361.5548891.496916e-08
0.4845181.5546611.467782e-08
0.4869121.5544361.438505e-08
0.4893171.5542141.409083e-08
0.4917341.5539941.379516e-08
0.4941631.5537761.349802e-08
0.4966041.553561.319942e-08
0.4990571.5533471.289935e-08
0.51.5532661.278400e-08
0.5015221.5531361.264923e-08
0.5041.5529271.242992e-08
0.5064891.5527211.220951e-08
0.5089911.5525161.198802e-08
0.5115061.5523141.176543e-08
0.5140321.5521141.154175e-08
0.5165711.5519161.131696e-08
0.5191231.551721.109106e-08
0.5216881.5515261.086404e-08
0.5242651.5513341.063590e-08
0.5268541.5511441.040664e-08
0.5294571.5509561.017624e-08
0.5320721.550779.944701e-09
0.5347011.5505859.712021e-09
0.5373421.5504039.478192e-09
0.5399961.5502229.243208e-09
0.5426641.5500449.007063e-09
0.5453441.5498678.769752e-09
0.5461.5498248.711700e-09
0.5480381.5496918.744214e-09
0.5507451.5495188.787402e-09
0.5534661.5493468.830802e-09
0.55621.5491768.874418e-09
0.5589471.5490088.918248e-09
0.5617081.5488418.962295e-09
0.5644831.5486769.006560e-09
0.5672721.5485129.051043e-09
0.5700741.548359.095746e-09
0.572891.548199.140670e-09
0.575721.5480319.185816e-09
0.5785641.5478739.231185e-09
0.581.5477959.254100e-09
0.5814221.5477179.417896e-09
0.5842941.5475639.748825e-09
0.587181.547411.008139e-08
0.590081.5472581.041559e-08
0.5929951.5471081.075145e-08
0.5959251.546961.108897e-08
0.5988681.5468121.142815e-08
0.6018271.5466661.176901e-08
0.6047991.5465221.211155e-08
0.6077871.5463781.245579e-08
0.6107891.5462361.280172e-08
0.6138061.5460951.314937e-08
0.6168391.5459561.349873e-08
0.6198861.5458181.384981e-08
0.621.5458121.386300e-08
0.6229481.5456811.392895e-08
0.6260251.5455451.399781e-08
0.6291171.545411.406700e-08
0.6322251.5452771.413653e-08
0.6353481.5451451.420641e-08
0.6384861.5450131.427663e-08
0.641641.5448831.434720e-08
0.644811.5447551.441812e-08
0.6479951.5446271.448939e-08
0.6511961.54451.456101e-08
0.6544131.5443741.463299e-08
0.6576461.544251.470532e-08
0.661.544161.475800e-08
0.6608941.5441261.467777e-08
0.6641591.5440041.438485e-08
0.667441.5438821.409048e-08
0.6707371.5437621.379466e-08
0.674051.5436421.349737e-08
0.677381.5435241.319862e-08
0.6807261.5434061.289839e-08
0.6840881.543291.259668e-08
0.6874671.5431741.229348e-08
0.6908631.5430591.198878e-08
0.6942761.5429451.168258e-08
0.6977061.5428321.137486e-08
0.71.5427571.116900e-08
0.7011521.542721.123088e-08
0.7046161.5426091.141690e-08
0.7080961.5424981.160384e-08
0.7115941.5423891.179170e-08
0.7151091.542281.198049e-08
0.7186421.5421721.217022e-08
0.7221921.5420641.236088e-08
0.7257591.5419581.255248e-08
0.7293441.5418521.274503e-08
0.7329471.5417471.293853e-08
0.7365681.5416431.313298e-08
0.7402061.541541.332840e-08
0.7438621.5414371.352478e-08
0.7475371.5413351.372213e-08
0.751231.5412341.392046e-08
0.754941.5411331.411976e-08
0.758671.5410331.432005e-08
0.7624171.5409341.452133e-08
0.7661841.5408351.472361e-08
0.7699681.5407381.492688e-08
0.7737721.540641.513116e-08
0.7775941.5405431.533644e-08
0.7814351.5404471.554275e-08
0.7852951.5403521.575006e-08
0.7891741.5402571.595841e-08
0.7930731.5401631.616778e-08
0.796991.5400691.637819e-08
0.8009271.5399761.658964e-08
0.8048841.5398831.680213e-08
0.808861.5397911.701567e-08
0.8128551.5396991.723026e-08
0.816871.5396081.744592e-08
0.8209061.5395181.766264e-08
0.8249611.5394271.788043e-08
0.8290361.5393381.809930e-08
0.8331311.5392491.831925e-08
0.8372471.539161.854028e-08
0.8413821.5390721.876241e-08
0.8455391.5389841.898563e-08
0.8497151.5388971.920996e-08
0.8539131.538811.943539e-08
0.8581311.5387231.966194e-08
0.862371.5386371.988961e-08
0.866631.5385522.011840e-08
0.8709111.5384672.034833e-08
0.8752131.5383822.057938e-08
0.8795361.5382972.081158e-08
0.8838811.5382132.104493e-08
0.8882471.5381292.127943e-08
0.8926351.5380462.151509e-08
0.8970441.5379632.175191e-08
0.9014751.537882.198990e-08
0.9059281.5377972.222907e-08
0.9104031.5377152.246941e-08
0.9149011.5376332.271095e-08
0.919421.5375522.295368e-08
0.9239621.5374712.319761e-08
0.9285261.537392.344274e-08
0.9331131.5373092.368908e-08
0.9377221.5372282.393665e-08
0.9423541.5371482.418543e-08
0.9470091.5370682.443544e-08
0.9516871.5369882.468669e-08
0.9563881.5369092.493918e-08
0.9611121.536832.519291e-08
0.965861.5367512.544790e-08
0.9706311.5366722.570415e-08
0.9754261.5365932.596167e-08
0.9802441.5365142.622045e-08
0.9850861.5364362.648052e-08
0.9899531.5363582.674187e-08
0.9948431.536282.700451e-08
0.9997571.5362022.726845e-08
1.00471.5361242.753369e-08
1.009661.5360472.780024e-08
1.014651.5359692.806811e-08
1.019661.5358922.833730e-08
1.024691.5358152.860782e-08
1.029761.5357372.887968e-08
1.034841.535662.915288e-08
1.039961.5355832.942743e-08
1.045091.5355072.970334e-08
1.050251.535432.998061e-08
1.055441.5353533.025925e-08
1.061.5352863.050400e-08
1.060661.5352763.064760e-08
1.06591.53523.179354e-08
1.071161.5351233.294513e-08
1.076451.5350463.410241e-08
1.081771.534973.526541e-08
1.087111.5348933.643415e-08
1.092481.5348173.760867e-08
1.097881.534743.878899e-08
1.10331.5346633.997514e-08
1.108751.5345874.116715e-08
1.114231.534514.236505e-08
1.119731.5344334.356886e-08
1.125271.5343574.477862e-08
1.130821.534284.599436e-08
1.136411.5342034.721610e-08
1.142021.5341264.844388e-08
1.147671.5340494.967772e-08
1.153331.5339725.091766e-08
1.159031.5338955.216372e-08
1.164761.5338185.341593e-08
1.170511.533745.467434e-08
1.176291.5336635.593896e-08
1.18211.5335855.720982e-08
1.187941.5335075.848697e-08
1.193811.533435.977042e-08
1.199711.5333526.106021e-08
1.205631.5332736.235638e-08
1.211591.5331956.365894e-08
1.217571.5331166.496794e-08
1.223591.5330386.628341e-08
1.229631.5329596.760538e-08
1.235711.532886.893387e-08
1.241811.53287.026893e-08
1.247951.5327217.161058e-08
1.254111.5326417.295886e-08
1.260311.5325617.431380e-08
1.266531.5324817.567544e-08
1.272791.53247.704379e-08
1.279071.532327.841891e-08
1.285391.5322397.980083e-08
1.291741.5321578.118956e-08
1.298121.5320768.258516e-08
1.304541.5319948.398765e-08
1.310981.5319128.539707e-08
1.317461.5318298.681346e-08
1.323961.5317478.823683e-08
1.33051.5316638.966724e-08
1.337081.531589.110472e-08
1.343681.5314969.254930e-08
1.350321.5314129.400101e-08
1.356991.5313289.545989e-08
1.363691.5312439.692598e-08
1.370431.5311579.839931e-08
1.37721.5310729.987992e-08
1.3841.5309861.013678e-07
1.390841.5308991.028631e-07
1.397711.5308121.043658e-07
1.404611.5307251.058759e-07
1.411551.5306371.073934e-07
1.418521.5305491.089184e-07
1.425531.530461.104510e-07
1.432571.5303711.119912e-07
1.439651.5302821.135389e-07
1.446761.5301921.150943e-07
1.453911.5301011.166574e-07
1.461091.530011.182282e-07
1.468311.5299181.198067e-07
1.475561.5298261.213931e-07
1.482851.5297341.229873e-07
1.490171.529641.245894e-07
1.497531.5295471.261994e-07
1.504931.5294521.278173e-07
1.512371.5293581.294432e-07
1.519841.5292621.310772e-07
1.527341.5291661.327192e-07
1.531.5291321.333000e-07
1.534891.5290691.465020e-07
1.542471.5289721.669751e-07
1.550091.5288741.875494e-07
1.557751.5287762.082252e-07
1.565441.5286762.290032e-07
1.573181.5285762.498838e-07
1.580951.5284762.708676e-07
1.588761.5283752.919550e-07
1.59661.5282733.131466e-07
1.604491.528173.344429e-07
1.612421.5280673.558443e-07
1.620381.5279633.773515e-07
1.628391.5278583.989650e-07
1.636431.5277524.206852e-07
1.644511.5276464.425126e-07
1.652641.5275394.644480e-07
1.66081.5274314.864916e-07
1.6691.5273235.086442e-07
1.677251.5272135.309062e-07
1.685531.5271035.532781e-07
1.693861.5269925.757606e-07
1.702231.526885.983541e-07
1.710641.5267676.210592e-07
1.719091.5266536.438765e-07
1.727581.5265386.668065e-07
1.736111.5264236.898498e-07
1.744691.5263067.130069e-07
1.753311.5261897.362784e-07
1.761971.5260717.596648e-07
1.770671.5259527.831668e-07
1.779421.5258318.067848e-07
1.788211.525718.305196e-07
1.797041.5255888.543715e-07
1.805921.5254658.783413e-07
1.814841.525349.024295e-07
1.82381.5252159.266367e-07
1.832811.5250899.509635e-07
1.841871.5249619.754104e-07
1.850961.5248339.999781e-07
1.860111.5247031.024667e-06
1.86931.5245731.049478e-06
1.878531.5244411.074412e-06
1.887811.5243081.099469e-06
1.897141.5241741.124649e-06
1.906511.5240391.149954e-06
1.915921.5239021.175384e-06
1.925391.5237641.200939e-06
1.93491.5236251.226621e-06
1.944461.5234851.252430e-06
1.954061.5233441.278366e-06
1.963721.5232011.304430e-06
1.971.5231081.321400e-06
1.973421.5230571.358043e-06
1.983161.5229121.462620e-06
1.992961.5227651.567715e-06
2.00281.5226171.673328e-06
2.01271.5224681.779463e-06
2.022641.5223171.886122e-06
2.032631.5221651.993309e-06
2.042671.5220122.101024e-06
2.052761.5218572.209272e-06
2.06291.52172.318055e-06
2.073091.5215422.427374e-06
2.083331.5213832.537234e-06
2.093631.5212222.647637e-06
2.103971.521062.758585e-06
2.114361.5208962.870081e-06
2.12481.520732.982127e-06
2.13531.5205633.094728e-06
2.145851.5203943.207884e-06
2.156451.5202243.321599e-06
2.16711.5200523.435877e-06
2.177811.5198783.550718e-06
2.188561.5197023.666127e-06
2.199371.5195253.782106e-06
2.210241.5193463.898658e-06
2.221161.5191664.015786e-06
2.232131.5189834.133492e-06
2.243161.5187994.251780e-06
2.254241.5186124.370652e-06
2.265371.5184244.490111e-06
2.276561.5182354.610160e-06
2.287811.5180434.730802e-06
2.299111.5178494.852041e-06
2.310471.5176534.973878e-06
2.321881.5174555.096317e-06
2.3251.5174015.129800e-06
2.333351.5172565.342140e-06
2.344871.5170545.635307e-06
2.356461.516855.929922e-06
2.36811.5166446.225993e-06
2.37981.5164366.523525e-06
2.391551.5162266.822528e-06
2.403371.5160137.123008e-06
2.415241.5157987.424972e-06
2.427171.5155827.728427e-06
2.439161.5153628.033382e-06
2.451211.5151418.339843e-06
2.463311.5149178.647818e-06
2.475481.5146918.957314e-06
2.487711.5144629.268339e-06
2.51.5142319.580900e-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
—