Optical constants

Refractive index of N-BK10 (SCHOTT)

N-BK10: n,k 0.29–2.5 µm

Data
formula 2 + tabulated k
Range
0.29–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.29–2.5 µm
Refractive index n
1.49782
Extinction coefficient k
1.35168e-08
Permittivity ε1
2.24346
Permittivity ε2
4.04914e-08
Absorption coefficient α
0.00289069 cm⁻¹
Penetration depth δ = λ/(2πk)
6.91877e+09 nm
Abbe number Vd
66.954
Chromatic dispersion dn/dλ
-0.0386722 µm⁻¹
Group index ng
1.52054
Group velocity dispersion
63.8861 fs²/mm
Dispersion parameter D
-348.533 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-BK10 (SCHOTT): N-BK10
schott_n_bk10 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-BK10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_bk10.range_nm)  # (290, 2500) nm
eps = schott_n_bk10.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=0.888308131λ2λ2−0.00516900822+0.328964475λ2λ2−0.0161190045+0.984610769λ2λ2−99.7575331

Valid from 0.29 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C20.888308131
C30.00516900822
C40.328964475
C50.0161190045
C60.984610769
C799.7575331

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.32e-06 1.72e-08 -2.05e-11 3.57e-07 3.9e-10 0.169
nd
1.49782
Vd
66.95
glass code
498670.239
glass status
standard
density
value: 2390
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 6.6e-06, temperature range: 293 573
dPgF
-0.0008
resistance
acid: 1.0; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.77e-06 K⁻¹ at 633 nm, dn/dT = 1.43e-06 K⁻¹ at 1310 nm, dn/dT = 1.40e-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 424 wavelengths, the same grid as the API and the library
N-BK10 (SCHOTT), N-BK10: n and k versus wavelength
λ (µm)nk
0.291.5338242.037500e-06
0.291571.5332671.847681e-06
0.2931481.5327181.656835e-06
0.2947351.5321761.464955e-06
0.2963311.5316421.272037e-06
0.2979351.5311151.078074e-06
0.2995481.5305968.830618e-07
0.31.5304528.284000e-07
0.301171.5300837.710421e-07
0.30281.5295776.910815e-07
0.3044391.5290796.106881e-07
0.3060871.5285875.298594e-07
0.3077441.5281014.485932e-07
0.309411.5276223.668871e-07
0.311.5274553.379600e-07
0.3110851.5271493.179569e-07
0.3127691.5266832.869146e-07
0.3144621.5262232.557042e-07
0.3161651.5257692.243249e-07
0.3178761.5253211.927757e-07
0.3195971.5248791.610557e-07
0.321.5247761.536300e-07
0.3213271.5244421.445537e-07
0.3230671.5240111.326585e-07
0.3248161.5235861.206990e-07
0.3265741.5231671.086747e-07
0.3283421.5227539.658538e-08
0.330121.5223448.443057e-08
0.3319071.521947.220996e-08
0.3337031.5215425.992320e-08
0.3341.5214775.789500e-08
0.335511.5211495.477024e-08
0.3373261.520765.101144e-08
0.3391521.5203774.723228e-08
0.3409881.5199994.343267e-08
0.3428341.5196253.961249e-08
0.344691.5192563.577163e-08
0.3465561.5188923.190998e-08
0.3484321.5185322.802742e-08
0.351.5182362.478300e-08
0.3503191.5181772.460459e-08
0.3522151.5178262.354232e-08
0.3541221.517482.247431e-08
0.3560391.5171382.140051e-08
0.3579661.51682.032090e-08
0.3599041.5164661.923544e-08
0.3618521.5161371.814411e-08
0.3638111.5158111.704687e-08
0.3651.5156161.638100e-08
0.3657811.515491.641598e-08
0.3677611.5151721.650469e-08
0.3697521.5148581.659388e-08
0.371.514821.660500e-08
0.3717531.5145481.689887e-08
0.3737661.5142421.723617e-08
0.3757891.513941.757529e-08
0.3778241.5136411.791624e-08
0.3798691.5133461.825904e-08
0.381.5133271.828100e-08
0.3819251.5130551.740494e-08
0.3839931.5127661.646420e-08
0.3860721.5124821.551837e-08
0.3881621.5122011.456742e-08
0.391.5119571.373100e-08
0.3902631.5119231.370641e-08
0.3923761.5116481.350887e-08
0.39451.5113771.331026e-08
0.3966351.5111091.311058e-08
0.3987831.5108441.290982e-08
0.41.5106951.279600e-08
0.4009411.5105821.282613e-08
0.4031121.5103231.289558e-08
0.4051.5101021.295600e-08
0.4052941.5100671.299192e-08
0.4074881.5098151.325974e-08
0.4096941.5095651.352901e-08
0.4119121.5093181.379974e-08
0.4141421.5090741.407194e-08
0.4163841.5088321.434561e-08
0.4186381.5085941.462076e-08
0.421.5084521.478700e-08
0.4209041.5083581.481888e-08
0.4231831.5081251.489920e-08
0.4254741.5078951.497995e-08
0.4277771.5076671.506115e-08
0.4300931.5074421.514278e-08
0.4324211.5072191.522485e-08
0.4347621.5069991.530737e-08
0.4361.5068851.535100e-08
0.4371161.5067821.532148e-08
0.4394821.5065671.525887e-08
0.4418611.5063541.519592e-08
0.4442531.5061441.513263e-08
0.4466581.5059361.506900e-08
0.4490761.505731.500502e-08
0.4515071.5055271.494070e-08
0.4539521.5053251.487603e-08
0.4564091.5051271.481101e-08
0.458881.504931.474564e-08
0.461.5048421.471600e-08
0.4613641.5047351.470485e-08
0.4638621.5045431.468443e-08
0.4663731.5043531.466390e-08
0.4688971.5041641.464326e-08
0.4714361.5039781.462251e-08
0.4739881.5037941.460165e-08
0.4765541.5036121.458067e-08
0.4791341.5034311.455958e-08
0.4817271.5032531.453838e-08
0.4843351.5030771.451706e-08
0.4869571.5029021.449562e-08
0.4895931.5027291.447407e-08
0.4922441.5025581.445241e-08
0.4949091.5023891.443062e-08
0.4975881.5022221.440872e-08
0.51.5020741.438900e-08
0.5002811.5020571.437566e-08
0.502991.5018931.424731e-08
0.5057131.5017311.411827e-08
0.508451.501571.398853e-08
0.5112031.5014111.385808e-08
0.513971.5012541.372693e-08
0.5167531.5010991.359507e-08
0.519551.5009451.346250e-08
0.5223631.5007921.332920e-08
0.525191.5006421.319519e-08
0.5280341.5004921.306045e-08
0.5308921.5003441.292498e-08
0.5337661.5001981.278878e-08
0.5366561.5000531.265184e-08
0.5395611.499911.251416e-08
0.5424821.4997681.237573e-08
0.5454191.4996271.223656e-08
0.5461.49961.220900e-08
0.5483711.4994881.226200e-08
0.551341.499351.232836e-08
0.5543241.4992141.239508e-08
0.5573251.4990781.246215e-08
0.5603421.4989441.252959e-08
0.5633761.4988121.259740e-08
0.5664261.498681.266557e-08
0.5694921.498551.273411e-08
0.5725751.4984211.280303e-08
0.5756751.4982941.287231e-08
0.5787911.4981671.294197e-08
0.581.4981191.296900e-08
0.5819241.4980421.310769e-08
0.5850751.4979181.333475e-08
0.5882421.4977951.356303e-08
0.5914261.4976731.379255e-08
0.5946281.4975521.402331e-08
0.5978471.4974321.425532e-08
0.6010831.4973141.448859e-08
0.6043371.4971961.472312e-08
0.6076091.497081.495892e-08
0.6108981.4969641.519600e-08
0.6142051.496851.543435e-08
0.617531.4967361.567400e-08
0.621.4966531.585200e-08
0.6208731.4966241.582811e-08
0.6242351.4965121.573619e-08
0.6276141.4964021.564376e-08
0.6310111.4962921.555084e-08
0.6344271.4961831.545741e-08
0.6378621.4960751.536348e-08
0.6413151.4959681.526904e-08
0.6447871.4958621.517408e-08
0.6482771.4957571.507862e-08
0.6517871.4956531.498263e-08
0.6553151.4955491.488613e-08
0.6588631.4954471.478910e-08
0.661.4954141.475800e-08
0.662431.4953451.454001e-08
0.6660161.4952441.421825e-08
0.6696211.4951431.389475e-08
0.6732461.4950441.356950e-08
0.6768911.4949451.324248e-08
0.6805551.4948471.291370e-08
0.6842391.494751.258313e-08
0.6879431.4946531.225078e-08
0.6916681.4945571.191663e-08
0.6954121.4944621.158067e-08
0.6991771.4943671.124289e-08
0.71.4943471.116900e-08
0.7029621.4942741.118837e-08
0.7067671.494181.121325e-08
0.7105931.4940881.123827e-08
0.714441.4939961.126342e-08
0.7183081.4939051.128871e-08
0.7221961.4938141.131414e-08
0.7261061.4937241.133970e-08
0.7300361.4936341.136541e-08
0.7339891.4935451.139125e-08
0.7379621.4934571.141723e-08
0.7419571.4933691.144335e-08
0.7459741.4932821.146962e-08
0.7500121.4931951.149602e-08
0.7540721.4931091.152257e-08
0.7581541.4930231.154926e-08
0.7622591.4929381.157610e-08
0.7663851.4928531.160308e-08
0.7705341.4927691.163021e-08
0.7747051.4926851.165749e-08
0.7788991.4926021.168491e-08
0.7831161.4925191.171248e-08
0.7873551.4924361.174020e-08
0.7916171.4923541.176808e-08
0.7959031.4922731.179610e-08
0.8002111.4921911.182427e-08
0.8045431.4921111.185260e-08
0.8088991.492031.188108e-08
0.8132781.491951.190971e-08
0.817681.491871.193850e-08
0.8221071.4917911.196744e-08
0.8265571.4917121.199655e-08
0.8310321.4916331.202580e-08
0.8355311.4915551.205522e-08
0.8400541.4914761.208480e-08
0.8446021.4913991.211453e-08
0.8491741.4913211.214443e-08
0.8537711.4912441.217449e-08
0.8583931.4911671.220471e-08
0.863041.491091.223510e-08
0.8677121.4910141.226565e-08
0.8724091.4909381.229636e-08
0.8771321.4908621.232725e-08
0.881881.4907861.235830e-08
0.8866541.490711.238951e-08
0.8914541.4906351.242090e-08
0.896281.490561.245245e-08
0.9011321.4904851.248418e-08
0.9060111.490411.251608e-08
0.9109151.4903351.254815e-08
0.9158461.4902611.258040e-08
0.9208041.4901871.261282e-08
0.9257891.4901121.264541e-08
0.9308011.4900381.267818e-08
0.935841.4899641.271113e-08
0.9409061.4898911.274426e-08
0.9461.4898171.277756e-08
0.9511211.4897431.281105e-08
0.956271.489671.284472e-08
0.9614471.4895961.287857e-08
0.9666511.4895231.291260e-08
0.9718841.489451.294682e-08
0.9771461.4893761.298122e-08
0.9824351.4893031.301581e-08
0.9877541.489231.305059e-08
0.9931011.4891571.308556e-08
0.9984771.4890831.312071e-08
1.003881.489011.315605e-08
1.009321.4889371.319159e-08
1.014781.4888641.322732e-08
1.020271.488791.326324e-08
1.02581.4887171.329936e-08
1.031351.4886441.333567e-08
1.036931.488571.337217e-08
1.042551.4884971.340888e-08
1.048191.4884241.344579e-08
1.053871.488351.348289e-08
1.059571.4882761.352019e-08
1.061.4882711.352300e-08
1.065311.4882021.448126e-08
1.071071.4881291.552261e-08
1.076871.4880551.656959e-08
1.08271.487981.762224e-08
1.088561.4879061.868059e-08
1.094461.4878321.974467e-08
1.100381.4877572.081451e-08
1.106341.4876822.189014e-08
1.112331.4876082.297159e-08
1.118351.4875322.405890e-08
1.12441.4874572.515209e-08
1.130491.4873822.625120e-08
1.136611.4873062.735626e-08
1.142761.487232.846731e-08
1.148951.4871542.958437e-08
1.155171.4870783.070747e-08
1.161421.4870013.183666e-08
1.167711.4869243.297196e-08
1.174031.4868473.411340e-08
1.180391.486773.526103e-08
1.186781.4866923.641486e-08
1.19321.4866143.757495e-08
1.199661.4865363.874131e-08
1.206161.4864573.991399e-08
1.212681.4863784.109301e-08
1.219251.4862994.227842e-08
1.225851.4862194.347025e-08
1.232491.4861394.466852e-08
1.239161.4860594.587329e-08
1.245871.4859784.708457e-08
1.252611.4858974.830242e-08
1.259391.4858154.952685e-08
1.266211.4857335.075792e-08
1.273061.4856515.199565e-08
1.279961.4855685.324008e-08
1.286891.4854855.449124e-08
1.293851.4854015.574918e-08
1.300861.4853175.701393e-08
1.30791.4852335.828553e-08
1.314981.4851485.956401e-08
1.32211.4850626.084941e-08
1.329251.4849766.214177e-08
1.336451.4848896.344113e-08
1.343691.4848026.474752e-08
1.350961.4847156.606098e-08
1.358271.4846266.738155e-08
1.365631.4845386.870927e-08
1.373021.4844487.004418e-08
1.380451.4843587.138632e-08
1.387921.4842687.273572e-08
1.395441.4841777.409242e-08
1.402991.4840857.545648e-08
1.410591.4839937.682791e-08
1.418221.48397.820677e-08
1.42591.4838067.959309e-08
1.433621.4837128.098692e-08
1.441381.4836178.238830e-08
1.449181.4835218.379726e-08
1.457031.4834258.521385e-08
1.464921.4833288.663810e-08
1.472851.483238.807007e-08
1.480821.4831318.950979e-08
1.488841.4830329.095730e-08
1.49691.4829329.241265e-08
1.5051.4828319.387588e-08
1.513151.4827299.534703e-08
1.521341.4826279.682614e-08
1.529581.4825239.831326e-08
1.531.4825189.839000e-08
1.537861.4824191.023759e-07
1.546181.4823141.066002e-07
1.554551.4822081.108473e-07
1.562971.4821021.151175e-07
1.571431.4819941.194107e-07
1.579931.4818851.237272e-07
1.588491.4817761.280671e-07
1.597091.4816651.324304e-07
1.605731.4815541.368174e-07
1.614431.4814421.412281e-07
1.623161.4813291.456628e-07
1.631951.4812141.501214e-07
1.640791.4810991.546041e-07
1.649671.4809831.591111e-07
1.65861.4808651.636426e-07
1.667581.4807471.681985e-07
1.676611.4806271.727791e-07
1.685681.4805071.773845e-07
1.694811.4803851.820149e-07
1.703981.4802621.866703e-07
1.713211.4801381.913509e-07
1.722481.4800131.960568e-07
1.731811.4798872.007882e-07
1.741181.4797592.055453e-07
1.750611.479632.103281e-07
1.760081.47952.151368e-07
1.769611.4793692.199715e-07
1.779191.4792372.248324e-07
1.788821.4791032.297196e-07
1.798511.4789682.346332e-07
1.808241.4788322.395735e-07
1.818031.4786942.445405e-07
1.827871.4785552.495344e-07
1.837771.4784142.545553e-07
1.847721.4782722.596034e-07
1.857721.4781292.646788e-07
1.867781.4779842.697817e-07
1.877891.4778382.749123e-07
1.888061.477692.800706e-07
1.898281.4775412.852568e-07
1.908551.477392.904711e-07
1.918881.4772382.957136e-07
1.929271.4770843.009846e-07
1.939721.4769293.062840e-07
1.950221.4767723.116121e-07
1.960771.4766133.169691e-07
1.971.4764743.216500e-07
1.971391.4764533.303129e-07
1.982061.476293.968424e-07
1.992791.4761274.637321e-07
2.003581.4759615.309839e-07
2.014431.4757945.985997e-07
2.025331.4756256.665816e-07
2.03631.4754547.349315e-07
2.047321.4752818.036514e-07
2.05841.4751078.727433e-07
2.069551.474939.422093e-07
2.080751.4747521.012051e-06
2.092011.4745711.082271e-06
2.103341.4743891.152872e-06
2.114721.4742051.223854e-06
2.126171.4740181.295221e-06
2.137681.473831.366974e-06
2.149251.4736391.439115e-06
2.160891.4734471.511647e-06
2.172591.4732521.584572e-06
2.184351.4730551.657891e-06
2.196171.4728561.731608e-06
2.208061.4726551.805723e-06
2.220021.4724511.880240e-06
2.232031.4722451.955160e-06
2.244121.4720372.030486e-06
2.256271.4718262.106219e-06
2.268481.4716132.182362e-06
2.280761.4713982.258918e-06
2.293111.471182.335888e-06
2.305521.4709592.413275e-06
2.3181.4707362.491080e-06
2.3251.4706112.534700e-06
2.330551.4705112.644891e-06
2.343171.4702832.895317e-06
2.355851.4700523.147099e-06
2.368611.4698183.400243e-06
2.381431.4695823.654759e-06
2.394321.4693433.910651e-06
2.407281.4691014.167930e-06
2.420311.4688574.426601e-06
2.433421.4686094.686672e-06
2.446591.4683594.948151e-06
2.459831.4681055.211046e-06
2.473151.4678495.475364e-06
2.486541.4675895.741113e-06
2.51.4673276.008300e-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
—