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Synthesis of radiating systems with flat aperture by a given power directivity pattern. II. Finding of solutions at bifurcation points - MaRDI portal

Synthesis of radiating systems with flat aperture by a given power directivity pattern. II. Finding of solutions at bifurcation points (Q2808405)

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scientific article; zbMATH DE number 6584002
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English
Synthesis of radiating systems with flat aperture by a given power directivity pattern. II. Finding of solutions at bifurcation points
scientific article; zbMATH DE number 6584002

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    23 May 2016
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    bifurcation of solutions
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    optimal solutions
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    Synthesis of radiating systems with flat aperture by a given power directivity pattern. II. Finding of solutions at bifurcation points (English)
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    The paper proceeds with the investigation of the synthesis problem for radiating system with a flat aperture according to the prescribed power directivity pattern started in [the author, Mat. Metody Fiz.-Mekh. Polya 56, No. 4, 83--95 (2013; Zbl 1313.78039)]. This class of problems is characterized by non-uniqueness and bifurcation of solutions. In terms of branching theory, a technique for finding (in the first approximation) nonzero solutions is presented. The technique provides a possibility of determining basic properties of solutions. This simplifies to a great extent the investigation of optimal solutions to synthesis problems by numerical methods.
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