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

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9780128037287: Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution

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

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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 mathematical modelling in diffraction theory. Since 1994 he has been the project manager on grants of the Russian Fund of Basic Researches. He has published 137 articles in international scientific journals. His monograph "Analytical Properties of Wave Fields" was published in 1990.

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Book Description Elsevier Science Publishing Co Inc, United States, 2015. Paperback. Book Condition: New. 229 x 152 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AAU9780128037287

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Book Description Elsevier Science Publishing Co Inc, United States, 2015. Paperback. Book Condition: New. 229 x 152 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AAU9780128037287

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Book Description Elsevier Science Publishing Co Inc. Paperback. Book Condition: new. BRAND NEW, Mathematical Modeling in Diffraction Theory: Based on A Priori Information on the Analytical Properties of the Solution, Alexander Kyurkchan, Nadezhda Smirnova, 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. Bookseller Inventory # B9780128037287

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