Mathematical Modeling in Diffraction Theory

Based on A Priori Information on the Analytical Properties of the Solution

Nonfiction, Science & Nature, Science, Physics, Acoustics & Sound, Mathematical Physics, Technology
Cover of the book Mathematical Modeling in Diffraction Theory by Alexander G. Kyurkchan, Nadezhda I. Smirnova, Elsevier Science
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Author: Alexander G. Kyurkchan, Nadezhda I. Smirnova ISBN: 9780128037485
Publisher: Elsevier Science Publication: September 19, 2015
Imprint: Elsevier Language: English
Author: Alexander G. Kyurkchan, Nadezhda I. Smirnova
ISBN: 9780128037485
Publisher: Elsevier Science
Publication: September 19, 2015
Imprint: Elsevier
Language: English

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
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

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