Asymptotic Methods in ElectromagneticsNumerically 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. |
Contents
Ray Optics | 1 |
Search for Solutions in the Form of Asymptotic Expansions | 91 |
The Boundary Layer Method | 121 |
Copyright | |
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Other editions - View all
Asymptotic Methods in Electromagnetics Daniel Bouche,Frederic Molinet,Raj Mittra Limited preview - 2012 |
Asymptotic Methods in Electromagnetics Daniel Bouche,Frederic Molinet,Raj Mittra No preview available - 2011 |
Common terms and phrases
Airy function amplitude angle Ansatz apply approximation asymptotic expansion boundary condition boundary layer boundary layer method calculate canonical problem caustic Chap cone contour contribution coordinate system creeping ray creeping waves curved faces defined derived diffracted field diffracted rays diffraction coefficient diffraction problem discontinuity edge eikonal equation electric creeping ray expression field diffracted Fock functions geodesic geometrical optics half-plane impedance condition incident field incident wave integral representation located magnetic creeping ray Maxwell's equations neighborhood normal object observation point obtain orthogonal P₁ parameter perfect conductor perfectly conducting Physical Optics plane wave polarization propagation radiation radius of curvature reflected field result satisfies scatterer shadow boundary shadow zone surface field surface impedance surface ray tangent Theory of Diffraction total field uniform solution valid vector vicinity w₁ wavefront whispering gallery modes zero ди