Mathematical Modeling in Diffraction Theory Based on A Priori Information on the Analytical Properties of the Solution
Auteurs : Kyurkchan Alexander G., Smirnova Nadezhda I.
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
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
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.
- 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
Date de parution : 09-2015
Ouvrage de 280 p.
15.2x22.8 cm
Disponible chez l'éditeur (délai d'approvisionnement : 14 jours).
Prix indicatif 103,74 €
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