Abstract
A new approach to a rigorous theory of aperture antennas is proposed, which is based on solution of the self-consistent problem of radiation. It is ascertained that this formulation of the problem leads to a system of homogeneous Fredholm integral equations of the second kind—i.e., a problem for eigenfunctions and eigenvalues that provides a basis for solving the problem of field generation in the open space. The passage to Fredholm integral equations of the first kind allows one to solve the task of synthesis of the source function for a given radiation field.
Similar content being viewed by others
References
A. S. Raevskii and S. B. Raevskii, Antenny, No. 2 (201), 3 (2014).
V. A. Neganov, O. V. Osipov, S. B. Raevskii, and G. P. Yarovoi, Electrodynamics and Radio Wave Propagation (Radiotekhnika, Moscow, 2007) [in Russian].
A. N. Agalakov, S. B. Raevskii, and A. A. Titarenko, Comput. Math. Math. Phys. 53, 937 (2013).
M. A. Aleksidze, Fundamental Functions in Approximate Solutions of Boundary Problems (Nauka, Moscow, 1991) [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © G.S. Malyshev, A.S. Raevskii, S.B. Raevskii, 2017, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 43, No. 12, pp. 75–82.
Rights and permissions
About this article
Cite this article
Malyshev, G.S., Raevskii, A.S. & Raevskii, S.B. Source-function synthesis in the self-consistent problem of radiation. Tech. Phys. Lett. 43, 577–580 (2017). https://doi.org/10.1134/S1063785017060220
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785017060220