Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution

by Alexander G. Kyurkchan, Nadezhda I. Smirnova

Overview

"Mathematical Modeling in Diffraction Theory Based on A Priori Information on the Analytical Properties of the Solution" provides the fundamental physical concepts behind the theory of wave diffraction and scattered wave fields as well as its application in radio physics, acoustics, optics, radio astronomy, biophysics, geophysics, and astrophysics. This book provides a coherent discussion of several advanced topics, which has the potential to push forward the progress in this field. The book begins with examples illustrating the importance of taking a priori information into account when developing algorithms for solving diffraction problems. The subsequent chapters discuss the basic analytical representations of wave fields; the auxiliary current and source methods for solving the problems of diffraction at compact scatterers; the null field and "T"-matrix methods widely used to solve problems in radio-physics, radio-astronomy, and biophysics; the continued boundary condition method, and the pattern equation method.

Product Details

ISBN-13:	9780128037287
Publisher:	Elsevier Science
Publication date:	10/05/2015
Pages:	280
Product dimensions:	6.00(w) x 9.00(h) x 0.59(d)

About the Author

Professor A.G. Kyurkchan is the head of the Department of Probability Theory and Applied Mathematics of the Moscow Technical University of Communication and Informatics, and he is a leading researcher at the Institute of Radio Engineering and Electronics, the Russian Academy of Sciences, Fryazino Branch. His research area is mathematical modelling in diffraction theory. Since 1994 he has been the project manager on grants of the Russian Fund of Basic Researches. He has published 137 articles in international scientific journals. His monograph "Analytical Properties of Wave Fields" was published in 1990.

N.I. Smirnova is an associate professor in the Department of Probability Theory and Applied Mathematics at the Moscow Technical University of Communication and Informatics. Her research area is mathematical modeling in diffraction theory. She has published 10 articles in international scientific journals.

Table of Contents

Introduction 1. Analytic properties of wave fields 2. Method of auxiliary currents and method of discrete sources 3. Null field and T-matrix methods 4. Method of continued boundary conditions 5. Pattern equation method References