Abstract:
Kernels of Fredholm integral equations of the second kind with exceptions are analysed in this article. The equations under consideration have a meaning of magnetic field boundary condition and are used in problems of scattering on scatterers with finite thickness. It is shown that these kernels could be stated in a form of Dirac delta-functions. This mathematical formalization results in interesting physical effect that induced current calculated via physical optics equals the difference of face and back currents of the scatterer, calculated using method of integral equations.
Keywords:
integral equations, scattering problem for electromagnetic fields, Dirac delta function.
Original article submitted 20/XII/2010 revision submitted – 12/II/2011
Citation:
M. A. Buzova, “Some features of second kind Fredholm equations kernels”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 28–33
\Bibitem{Buz11}
\by M.~A.~Buzova
\paper Some features of second kind Fredholm equations kernels
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 28--33
\mathnet{http://mi.mathnet.ru/vsgtu868}
\crossref{https://doi.org/10.14498/vsgtu868}
Linking options:
https://www.mathnet.ru/eng/vsgtu868
https://www.mathnet.ru/eng/vsgtu/v122/p28
This publication is cited in the following 1 articles:
Il'ya Syromyatnikov, Elena Ivanova, Natal'ya Chibich, “IMPROVING METHODS FOR PREPARING MINCED FISH TO PRODUCE FOOD CONCENTRATES”, Bulletin of KSAU, 2024, no. 2, 222
Citation in format AMSBIB
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