Mathematical Modeling In Diffraction Theory: Based On A Priori Information On The Analytical…

Paperback | September 21, 2015

byAlexander G. Kyurkchan, Nadezhda I. SmirnovaEditorAlexander G. Kyurkchan

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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 that have the potential to push forward progress in this field. It begins with examples illustrating the importance of taking a priori information into account when developing algorithms for solving diffraction problems, with subsequent chapters discussing 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 matrix methods that are widely used to solve problems in radio-physics, radio-astronomy, and biophysics, and the continued boundary condition and pattern equation method. Provides ideas and techniques for obtaining a priori information on analytical properties of wave fields and provides methods for solving diffraction problems Includes numerous concrete examples of localization of singularities of analytical continuation of wave fields Presents a qualitative explanation of the formation of visions of objects Formulates the concept of invisible objects Supplies appropriate computer programs for all presented methods

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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 a...

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 mathematic...
Format:PaperbackDimensions:280 pages, 8.75 × 6.35 × 0.68 inPublished:September 21, 2015Publisher:Elsevier Science & TechLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0128037288

ISBN - 13:9780128037287

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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