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

Mathematical Modeling in Diffraction Theory

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

Paperback Published: 21st September 2015
ISBN: 9780128037287
Number Of Pages: 280

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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

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

ISBN: 9780128037287
ISBN-10: 0128037288
Audience: Professional
Format: Paperback
Language: English
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  x 2.0
Weight (kg): 0.38
Edition Number: 1

Earn 124 Qantas Points
on this Book