Electromagnetic Fields – Restrictions and Approximation

Katsenelenbaum, retired from the Moscow Institute of Physics and Technology, investigates the properties of fields scattered by metallic bodies and examines their significance for antenna synthesis, body shape reconstruction, and other diffraction problems. The material covered lies at the interface of antenna theory, high-frequency electrodynamics, mathematical physics, and inverse scattering problems, and will be of interest to researchers working in electromagnetic waves and diffraction theory. The mathematical technique, according to the author, "is not more difficult than that used in diffraction theory problems. The book was first published in Russian (Nauka, Moscow, 1996) under the title The Approximation Problem of Electromagnetic Fields. This English edition is extended with new results and contains a new chapter on long narrow beam of electromagnetic waves, and a new appendix on antenna synthesis by the amplitude radiation pattern and the modified phase problem. The fields scattered by metallic bodies or radiated by some types of antennas are created by the surfaces currents and therefore they are subject to some restrictions. The book is the first one where the properties of these fields are investigated in details. The properties have the important significance for the antenna synthesis, body shape reconstruction and other diffraction problems. The material of the book lies in the meetingpoint of the antenna theory, highfrequency electrodynamics and inverse scattering problems. The author is an internationally renowned investigator in the field of electromagnetic waves and diffraction theory. Provides an introduction to the problem of approximation in computing electromagnetic fields. This monographs covers an inverse problem that plays an important role in the theory of antennas and the scattering of electromagnetic waves. 1. In the following examples we briefly illustrate the problems considered in the book and the results obtained.