Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems
- 114 pages
- English
- PDF
- Available on iOS & Android
Electromagnetic Wave Diffraction by Conducting Screens pseudodifferential operators in diffraction problems
About This Book
This book covers the latest problems of modern mathematical methods for three-dimensional problems of diffraction by arbitrary conducting screens. This comprehensive study provides an introduction to methods of constructing generalized solutions, elements of potential theory, and other underlying mathematical tools. The problem settings, which turn out to be extremely effective, differ significantly from the known approaches and are based on the original concept of vector spaces 'produced' by Maxwell equations. The formalism of pseudodifferential operators enables to prove uniqueness theorems and the Fredholm property for all problems studied. Readers will gain essential insight into the state-of-the-art technique of investigating three-dimensional problems for closed and unclosed screens based on systems of pseudodifferential equations. A detailed treatment of the properties of their kernels, in particular degenerated, is included. Special attention is given to the study of smoothness of generalized solutions and properties of traces.
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Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Table of Contents
- Introduction
- 1: Diffraction by Cylindrical Screens
- 2: Diffraction by a Bounded Planar Screen
- 3: Diffraction by a System of Arbitrary Bounded Screens
- 4: The Problems of Diffraction in Domains Connected Through a Hole in a Screen
- References