Asymptotic Methods in Electromagnetics
By: by Daniel Bouche, Frédéric Molinet, Raj Mittra
Contributors: Molinet, Frédéric; Mittra, Raj
Publisher: Springer Berlin Heidelberg
Published: 1997
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 526
ISBN-13: 9783642644405; 9783642605178
Subjects: Global analysis (Mathematics); Physics; Telecommunication
Description: Numerically rigorous techniques for the computation of electromagnetic fields diffracted by an object become computationally intensive, if not impractical to handle, at high frequencies and one must typically resort to aymptotic methods to solve the scattering problem at short wavelengths. The asymptotic methods not only provide closed form expansions for the diffracted fields, but they are also useful for eliciting physical interpretations of the various diffraction phenomena. One of the principal objectives of this book is to discuss the different asymptotic methods in a unified manner. Although, for the sake of convenience, the book contains explicit formulas for computing the field diffracted by conducting or dielectric-coated objects, it also provides the mathematical foundations of the different methods and explains how they are interrelated. The book will, therefore, help the reader acquire both a working knowledge and a theoretical understanding of the different methods for solving electromagnetic scattering problems at high frequencies.
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Table of contents: title: Contents: Ray Optics; title: Search for Solutions in the Form of Asymptotic Expansions; title: The Boundary Layer Method; title: Spectral Theory of Diffraction; title: Uniform Solutions; title: Integral Methods; title: Surface Field and Physical Theory of Diffraction; title: Calculation of the Surface Impedance, Generalization of the Notion of Surface Impedance; title: App. 1. Canonical Problems; title: App. 2. Differential Geometry; title: App. 3. Complex Rays; title: App. 4. Asymptotic Expansion of Integrals; title: App. 5. Fock Functions; title: App. 6. Reciprocity Principle; title: Subject Index.