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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
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
ISBN: 9780128037287 ISBN-10: 0128037288 Audience:
Number Of Pages: 280 Published: 21st September 2015 Publisher: Elsevier Science Publishing Co Inc Country of Publication: US Dimensions (cm): 22.9 x 15.2
Weight (kg): 0.38
Edition Number: 1