Dyadic Green Functions in Electromagnetic Theory


Book Description

In this comprehensive, new edition, Chen-To Tai gives extensive attention to recent research surrounding the techniques of dyadic Green functions. Additional formulations are introduced, including the classifications and the different methods of finding the eigenfunction expansions. Important new features in this edition include Maxwell's equations, which has been cast in a dyadic form to make the introduction of the electric and magnetic dyadic Green functions easier to understand; the integral solutions to Maxwell's equations, now derived with the aid of the vector-dyadic Green's theorem, allowing several intermediate steps to be omitted; a detailed discussion of complementary reciprocal theorems and transient radiation in moving media; and the derivation of various dyadic Green functions for problems involving plain layered media, and a two-dimensional Fourier-integral representation of these functions. This in-depth textbook will be of particular interest to antenna and microwave engineers, research scientists, and professors.




A General Procedure To Set Up The Dyadic Green's Function Of Multilayer Conformal Structures And Its Application To Microstrip Antennas


Book Description

This paper presents a generalized approach to derive the dyadic Green's function of arbitrary multilayer structures in planar, cylindrical and spherical coordinate systems. It is based on a full-wave equivalent-circuit representation that makes it possible to apply simple network analysis techniques. The planar stratified structures may be laterally bounded or open, the cylinders or spheres circumferentially closed or limited sectors. The procedure can be extended to other coordinate systems and anisotropic materials by means of a generalized transmission-line approach. For a demonstration of the applicability of this method, the derivation of the dyadic Green's functions in spectral domain of some commonly used cylindrical and spherical microstrip structures is presented.




Conference Proceedings


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Proceedings


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Foundations of Antenna Engineering: A Unified Approach for Line-of-Sight and Multipath


Book Description

This is the first textbook that contains a holistic treatment of antennas both for traditional antennas mounted on masts (Line-of-Sight antenna systems) and for small antennas used on modern wireless devices such as smart phones being subject to signal variations (fading) due to multipath propagation. The focus is on characterization, as well as describing classical antennas by modern complex vector theory - thereby linking together many disciplines such as electromagnetic theory, classical antenna theory, wave propagation, and antenna system performance. Overall, this book represents a rethinking of the way basic antenna theory is presented. The book contains many references to important old and new papers and books on the analysis and design of the most useful antenna types, for the most interested readers.




Efficient Asymptotic Closed Form Approximation for Dyadic Green's Function for Anisotropic Substrates


Book Description

An efficient closed form asymptotic representation for a grounded double-layered anisotropic uniaxial geometry is developed. The large parameter of this asymptotic development is directly proportional to the lateral separation between the source and observation point. However the asymptotic solution remains accurate even for very small (a few tenths of a wavelength) lateral separation of the source and field points. the asymptotic closed form dyadic Green's function has been cast in such a form that the physical behavior of the electromagnetic fields due to anisotropy of the medium reveals itself through a simple mathematical parameters. Thus, the physical understanding of the interaction of the spatially confined source with an anisotropic (uniaxial) double-layered grounded slab is greatly enhanced through the newly developed asymptotic closed form representation of the dyadic Green's function. Also, this efficient representation is very useful in the moment method (MM) solution of the current excited on the microstrip antennas and arrays in a grounded double- layered uniaxial geometry, as well as the volumetric current excited within a dielectric scatterer buried in a grounded double layered anisotropic uniaxial slab. The MM analysis, especially for microstrip arrays and guided wave structures, requires a very large number of computations where the lateral distance between the source and the field points in the dyadic Green's function can range from extremely small to very large values.