Optical constants

Refractive index of N-BAK1 (SCHOTT)

N-BAK1: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.5725
Extinction coefficient k
9.37538e-09
Permittivity ε1
2.47275
Permittivity ε2
2.94855e-08
Absorption coefficient α
0.00200501 cm⁻¹
Penetration depth δ = λ/(2πk)
9.97501e+09 nm
Abbe number Vd
57.549
Chromatic dispersion dn/dλ
-0.0512867 µm⁻¹
Group index ng
1.60263
Group velocity dispersion
91.1317 fs²/mm
Dispersion parameter D
-497.172 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-BAK1 (SCHOTT): N-BAK1
schott_n_bak1 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-BAK1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_bak1.range_nm)  # (300, 2500) nm
eps = schott_n_bak1.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=1.12365662λ2λ2−0.00644742752+0.309276848λ2λ2−0.0222284402+0.881511957λ2λ2−107.297751

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.12365662
C30.00644742752
C40.309276848
C50.0222284402
C60.881511957
C7107.297751

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.86e-07 1.29e-08 -1.87e-11 5.25e-07 5.46e-10 0.182
nd
1.5725
Vd
57.55
glass code
573576.319
glass status
standard
density
value: 3190
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
0.0002
resistance
acid: 3.3; stain: 1.0; alkali: 1.2; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 7.54e-07 K⁻¹ at 633 nm, dn/dT = 2.28e-07 K⁻¹ at 1310 nm, dn/dT = 1.86e-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 423 wavelengths, the same grid as the API and the library
N-BAK1 (SCHOTT), N-BAK1: n and k versus wavelength
λ (µm)nk
0.31.6187472.539400e-06
0.3015981.6180012.328743e-06
0.3032051.6172662.116964e-06
0.3048211.6165421.904057e-06
0.3064451.6158291.690015e-06
0.3080781.6151261.474833e-06
0.3097191.6144331.258504e-06
0.311.6143161.221500e-06
0.3113691.613751.132634e-06
0.3130281.6130771.024976e-06
0.3146961.6124139.167446e-07
0.3163731.6117598.079366e-07
0.3180591.6111146.985489e-07
0.3197531.6104785.885783e-07
0.321.6103865.725700e-07
0.3214571.6098515.349392e-07
0.323171.6092334.907025e-07
0.3248921.6086234.462301e-07
0.3266231.6080224.015208e-07
0.3283631.6074293.565732e-07
0.3301121.6068453.113862e-07
0.3318711.6062682.659584e-07
0.333641.6056992.202885e-07
0.3341.6055852.109800e-07
0.3354171.6051391.994533e-07
0.3372041.6045851.849183e-07
0.3390011.6040391.703059e-07
0.3408071.6035011.556156e-07
0.3426231.602971.408471e-07
0.3444491.6024451.259999e-07
0.3462841.6019281.110735e-07
0.3481291.6014189.606765e-08
0.3499841.6009148.098183e-08
0.351.600918.085000e-08
0.3518491.6004187.539522e-08
0.3537231.5999276.986329e-08
0.3556081.5994436.430188e-08
0.3575031.5989665.871085e-08
0.3594071.5984955.309002e-08
0.3613221.5980294.743925e-08
0.3632481.597574.175836e-08
0.3651.597163.658700e-08
0.3651831.5971173.625108e-08
0.3671291.596673.267794e-08
0.3690851.5962282.908577e-08
0.371.5960242.740500e-08
0.3710511.5957922.670433e-08
0.3730281.5953622.538667e-08
0.3750161.5949372.406198e-08
0.3770141.5945182.273024e-08
0.3790231.5941042.139140e-08
0.381.5939052.074000e-08
0.3810421.5936952.014046e-08
0.3830721.5932911.897247e-08
0.3851131.5928921.779826e-08
0.3871651.5924991.661779e-08
0.3892281.592111.543104e-08
0.391.5919661.498700e-08
0.3913021.5917261.470173e-08
0.3933871.5913471.424493e-08
0.3954831.5909731.378570e-08
0.397591.5906031.332402e-08
0.3997081.5902381.285988e-08
0.41.5901881.279600e-08
0.4018381.5898771.285482e-08
0.4039791.5895211.292333e-08
0.4051.5893531.295600e-08
0.4061321.5891691.299221e-08
0.4082961.5888211.306146e-08
0.4104711.5884781.313107e-08
0.4126581.5881381.320106e-08
0.4148571.5878031.327141e-08
0.4170671.5874721.334215e-08
0.4192891.5871451.341325e-08
0.421.5870421.343600e-08
0.4215231.5868221.361831e-08
0.4237691.5865031.388712e-08
0.4260271.5861871.415736e-08
0.4282971.5858761.442904e-08
0.4305791.5855681.470217e-08
0.4328731.5852631.497675e-08
0.4351791.5849631.525279e-08
0.4361.5848571.535100e-08
0.4374981.5846651.531136e-08
0.4398291.5843721.524969e-08
0.4421731.5840821.518768e-08
0.4445291.5837951.512535e-08
0.4468971.5835111.506268e-08
0.4492781.5832311.499968e-08
0.4516721.5829541.493635e-08
0.4540781.5826811.487267e-08
0.4564981.582411.480866e-08
0.458931.5821431.474431e-08
0.461.5820271.471600e-08
0.4613751.5818791.464957e-08
0.4638341.5816171.453084e-08
0.4663051.5813591.441147e-08
0.4687891.5811041.429147e-08
0.4712871.5808511.417083e-08
0.4737981.5806021.404954e-08
0.4763231.5803551.392761e-08
0.4788611.5801111.380503e-08
0.4814121.579871.368180e-08
0.4839771.5796321.355791e-08
0.4865561.5793961.343336e-08
0.4891481.5791631.330815e-08
0.4917541.5789331.318227e-08
0.4943741.5787051.305572e-08
0.4970081.5784791.292849e-08
0.4996571.5782571.280059e-08
0.51.5782281.278400e-08
0.5023191.5780361.257872e-08
0.5049951.5778181.234178e-08
0.5076861.5776031.210358e-08
0.5103911.5773891.186411e-08
0.513111.5771791.162337e-08
0.5158441.576971.138134e-08
0.5185931.5767641.113803e-08
0.5213561.576561.089341e-08
0.5241341.5763581.064750e-08
0.5269261.5761581.040027e-08
0.5297341.5759611.015173e-08
0.5325561.5757659.901858e-09
0.5353941.5755729.650659e-09
0.5382461.5753819.398121e-09
0.5411141.5751929.144237e-09
0.5439971.5750048.889001e-09
0.5461.5748768.711700e-09
0.5468961.5748198.725989e-09
0.549811.5746368.772474e-09
0.5527391.5744558.819208e-09
0.5556841.5742758.866190e-09
0.5586451.5740988.913422e-09
0.5616211.5739228.960906e-09
0.5646141.5737489.008643e-09
0.5676221.5735769.056635e-09
0.5706461.5734069.104882e-09
0.5736871.5732379.153386e-09
0.5767431.573079.202149e-09
0.5798161.5729059.251171e-09
0.581.5728959.254100e-09
0.5829061.5727429.300468e-09
0.5860111.572589.350028e-09
0.5891341.572429.399853e-09
0.5922731.5722619.449943e-09
0.5954281.5721049.500299e-09
0.5986011.5719499.550924e-09
0.601791.5717959.601819e-09
0.6049971.5716439.652985e-09
0.608221.5714929.704424e-09
0.6114611.5713439.756137e-09
0.6147191.5711959.808125e-09
0.6179941.5710489.860390e-09
0.621.570969.892400e-09
0.6212871.5709039.912943e-09
0.6245971.570769.965792e-09
0.6279251.5706171.001892e-08
0.6312711.5704771.007233e-08
0.6346341.5703371.012603e-08
0.6380151.5701991.018002e-08
0.6414151.5700621.023429e-08
0.6448321.5699261.028885e-08
0.6482681.5697921.034370e-08
0.6517221.5696591.039884e-08
0.6551951.5695271.045428e-08
0.6586851.5693961.051001e-08
0.661.5693481.053100e-08
0.6621951.5692671.032048e-08
0.6657231.5691399.982084e-09
0.669271.5690129.641888e-09
0.6728361.5688869.299880e-09
0.6764211.5687618.956049e-09
0.6800251.5686378.610386e-09
0.6836481.5685158.262882e-09
0.6872911.5683937.913526e-09
0.6909531.5682737.562309e-09
0.6946341.5681537.209220e-09
0.6983351.5680356.854250e-09
0.71.5679826.694600e-09
0.7020561.5679186.733602e-09
0.7057971.5678016.804553e-09
0.7095571.5676866.875882e-09
0.7133381.5675726.947591e-09
0.7171391.5674587.019683e-09
0.720961.5673467.092158e-09
0.7248011.5672347.165020e-09
0.7286631.5671237.238270e-09
0.7325451.5670147.311910e-09
0.7364481.5669057.385942e-09
0.7403721.5667977.460369e-09
0.7443171.566697.535193e-09
0.7482831.5665847.610415e-09
0.752271.5664787.686038e-09
0.7562781.5663747.762064e-09
0.7603071.566277.838494e-09
0.7643581.5661677.915333e-09
0.7684311.5660647.992580e-09
0.7725251.5659638.070239e-09
0.7766411.5658628.148312e-09
0.7807791.5657628.226801e-09
0.7849391.5656638.305708e-09
0.7891211.5655648.385036e-09
0.7933261.5654678.464786e-09
0.7975531.5653698.544961e-09
0.8018021.5652738.625563e-09
0.8060741.5651778.706595e-09
0.8103691.5650828.788058e-09
0.8146871.5649888.869956e-09
0.8190281.5648948.952290e-09
0.8233911.56489.035062e-09
0.8277791.5647089.118276e-09
0.8321891.5646169.201933e-09
0.8366231.5645249.286036e-09
0.8410811.5644339.370586e-09
0.8455621.5643439.455588e-09
0.8500671.5642539.541042e-09
0.8545961.5641649.626951e-09
0.859151.5640759.713319e-09
0.8637271.5639879.800146e-09
0.8683291.5638999.887436e-09
0.8729561.5638129.975191e-09
0.8776071.5637251.006341e-08
0.8822831.5636391.015211e-08
0.8869841.5635531.024127e-08
0.891711.5634681.033091e-08
0.8964611.5633831.042103e-08
0.9012381.5632991.051163e-08
0.9060391.5632151.060271e-08
0.9108671.5631311.069428e-08
0.915721.5630481.078633e-08
0.9205991.5629651.087887e-08
0.9255041.5628821.097191e-08
0.9304351.56281.106544e-08
0.9353931.5627191.115948e-08
0.9403771.5626371.125401e-08
0.9453871.5625561.134905e-08
0.9504241.5624761.144459e-08
0.9554881.5623951.154064e-08
0.9605791.5623151.163720e-08
0.9656971.5622351.173428e-08
0.9708421.5621561.183188e-08
0.9760151.5620771.192999e-08
0.9812151.5619981.202863e-08
0.9864431.5619191.212779e-08
0.9916991.5618411.222749e-08
0.9969831.5617621.232771e-08
1.00231.5616841.242847e-08
1.007641.5616071.252976e-08
1.0131.5615291.263159e-08
1.01841.5614521.273397e-08
1.023831.5613751.283689e-08
1.029281.5612981.294036e-08
1.034771.5612211.304438e-08
1.040281.5611451.314896e-08
1.045821.5610681.325409e-08
1.05141.5609921.335978e-08
1.0571.5609161.346604e-08
1.061.5608751.352300e-08
1.062631.560841.383141e-08
1.068291.5607641.449566e-08
1.073981.5606881.516344e-08
1.07971.5606131.583479e-08
1.085461.5605371.650971e-08
1.091241.5604621.718823e-08
1.097061.5603861.787036e-08
1.10291.5603111.855613e-08
1.108781.5602361.924555e-08
1.114681.560161.993864e-08
1.120621.5600852.063543e-08
1.126591.560012.133593e-08
1.13261.5599352.204016e-08
1.138631.559862.274814e-08
1.14471.5597852.345990e-08
1.15081.559712.417545e-08
1.156931.5596352.489481e-08
1.163091.5595592.561800e-08
1.169291.5594842.634505e-08
1.175521.5594092.707597e-08
1.181781.5593342.781079e-08
1.188081.5592582.854952e-08
1.194411.5591832.929218e-08
1.200771.5591073.003881e-08
1.207171.5590323.078941e-08
1.21361.5589563.154401e-08
1.220071.558883.230263e-08
1.226571.5588053.306529e-08
1.233111.5587293.383202e-08
1.239681.5586523.460283e-08
1.246281.5585763.537775e-08
1.252921.55853.615680e-08
1.25961.5584233.694000e-08
1.266311.5583463.772737e-08
1.273061.5582693.851894e-08
1.279841.5581923.931472e-08
1.286661.5581154.011475e-08
1.293511.5580374.091903e-08
1.30041.557964.172761e-08
1.307331.5578824.254049e-08
1.31431.5578034.335770e-08
1.32131.5577254.417926e-08
1.328341.5576464.500521e-08
1.335421.5575674.583555e-08
1.342531.5574884.667032e-08
1.349691.5574084.750954e-08
1.356881.5573284.835322e-08
1.364111.5572484.920141e-08
1.371381.5571685.005411e-08
1.378681.5570875.091135e-08
1.386031.5570065.177316e-08
1.393411.5569245.263957e-08
1.400841.5568435.351059e-08
1.40831.556765.438625e-08
1.415811.5566785.526658e-08
1.423351.5565955.615159e-08
1.430931.5565115.704133e-08
1.438561.5564285.793580e-08
1.446221.5563445.883504e-08
1.453931.5562595.973907e-08
1.461671.5561746.064792e-08
1.469461.5560886.156161e-08
1.477291.5560026.248016e-08
1.485161.5559166.340362e-08
1.493081.5558296.433199e-08
1.501031.5557426.526531e-08
1.509031.5556546.620360e-08
1.517071.5555656.714689e-08
1.525151.5554766.809521e-08
1.531.5554236.866400e-08
1.533281.5553877.291908e-08
1.541451.5552978.352368e-08
1.549661.5552069.418479e-08
1.557921.5551151.049027e-07
1.566221.5550241.156777e-07
1.574561.5549311.265101e-07
1.582951.5548381.374003e-07
1.591391.5547451.483484e-07
1.599871.5546511.593549e-07
1.608391.5545561.704201e-07
1.616961.554461.815442e-07
1.625571.5543641.927275e-07
1.634241.5542672.039705e-07
1.642941.554172.152733e-07
1.65171.5540722.266364e-07
1.66051.5539732.380600e-07
1.669341.5538732.495445e-07
1.678241.5537732.610902e-07
1.687181.5536712.726974e-07
1.696171.5535692.843664e-07
1.705211.5534672.960976e-07
1.714291.5533633.078913e-07
1.723431.5532593.197479e-07
1.732611.5531543.316676e-07
1.741841.5530483.436509e-07
1.751121.5529413.556979e-07
1.760451.5528333.678092e-07
1.769831.5527253.799850e-07
1.779261.5526153.922257e-07
1.788741.5525054.045316e-07
1.798271.5523944.169030e-07
1.807851.5522814.293404e-07
1.817491.5521684.418441e-07
1.827171.5520544.544143e-07
1.83691.5519394.670516e-07
1.846691.5518234.797562e-07
1.856531.5517064.925284e-07
1.866421.5515875.053687e-07
1.876371.5514685.182775e-07
1.886371.5513485.312550e-07
1.896421.5512275.443016e-07
1.906521.5511045.574178e-07
1.916681.5509815.706038e-07
1.926891.5508565.838602e-07
1.937161.550735.971871e-07
1.947481.5506036.105850e-07
1.957851.5504756.240544e-07
1.968291.5503456.375955e-07
1.971.5503246.398200e-07
1.978771.5502156.838378e-07
1.989321.5500837.367337e-07
1.999921.549957.899115e-07
2.010571.5498158.433727e-07
2.021281.549688.971186e-07
2.032051.5495439.511510e-07
2.042881.5494041.005471e-06
2.053771.5492651.060081e-06
2.064711.5491241.114981e-06
2.075711.5489811.170175e-06
2.086771.5488371.225662e-06
2.097891.5486921.281445e-06
2.109061.5485461.337525e-06
2.12031.5483971.393904e-06
2.13161.5482481.450583e-06
2.142961.5480961.507564e-06
2.154371.5479441.564849e-06
2.165851.5477891.622439e-06
2.177391.5476341.680336e-06
2.188991.5474761.738541e-06
2.200661.5473171.797057e-06
2.212381.5471561.855884e-06
2.224171.5469941.915025e-06
2.236021.546831.974481e-06
2.247931.5466642.034253e-06
2.259911.5464962.094344e-06
2.271951.5463272.154756e-06
2.284061.5461562.215489e-06
2.296231.5459832.276546e-06
2.308461.5458082.337928e-06
2.320761.5456312.399637e-06
2.3251.545572.420900e-06
2.333131.5454522.507242e-06
2.345561.5452722.639310e-06
2.358061.5450892.772082e-06
2.370621.5449052.905561e-06
2.383251.5447183.039751e-06
2.395951.5445293.174657e-06
2.408711.5443393.310281e-06
2.421551.5441463.446628e-06
2.434451.5439513.583701e-06
2.447421.5437543.721504e-06
2.460461.5435553.860042e-06
2.473571.5433533.999318e-06
2.486751.5431494.139336e-06
2.51.5429434.280100e-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
—