Mathematical Modeling in Diffraction Theory
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"Mathematical Modeling in Diffraction Theory" by Alexander Kyurkchan, Nadezhda I. Smirnova is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.
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" by Alexander Kyurkchan, Nadezhda I. Smirnova is a mathematics book and learning resource focused on Light & Optics. Best for teachers, students, and readers looking for stronger mathematical understanding.
Topic: Light & Optics
Author: Alexander Kyurkchan, Nadezhda I. Smirnova
Who this is for:
- Teachers and classroom instructors
- Students building subject mastery
- Readers looking for practical learning support
Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.
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
| Author | Alexander Kyurkchan, Nadezhda I. Smirnova |
| Publisher | Elsevier |
| Published | 2015-10-01 |
| ISBN-13 | 9780128037287 |
| Binding | Paperback |
| Pages | 280 |
| Language | English |
| Subjects | Science | Acoustics & Sound ; Science | Physics | Astrophysics ; Science | Life Sciences | Biophysics ; Science | Physics | Mathematical & Computational ; Science | Physics | Optics & Light |
| Topic | Light & Optics |
Format: Paperback
Length: 280 pages
Language: English
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