The book is devoted to the synthesis problems that arise in the theory and design of radiating systems (antennas). The characteristics of desired amplitude are data placed into a synthesis problem. A synthesis problem belongs to a class of inverse problems and its aim is to determine a distribution of current or fields in an antenna, which produces the amplitude radiation characteristic as close as possible to the desired one. Freedom of choice of phase distribution of the desired radiation pattern (RP) is used as an additional possibility of better approximation to such RPs. This book studies various different types of antennas and arrays as the radiation systems under consideration. A special class of problems related to acoustic and electromagnetic scattering on a set of bodies (particles) of small size is also discussed, while the constructive procedures of creating inhomogeneous materials with specific properties are proposed.
Mykhaylo I. Andriychuk received his MSc in Computational Mathematics from the University of Lviv, Ukraine, and his PhD in Mathematical Modelling from Kyiv National University, Ukraine. He also holds a DSc in Mathematical Modelling. He is currently Head of Department at the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, Ukraine. He is the author of five books and more than 150 papers in scientific journals.