Layered Media Greens Functions
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Dynamic Green's Functions for Layered Media
| Author | : Randy Jay Apsel |
| Publisher | : |
| Total Pages | : 766 |
| Release | : 1979 |
| Genre | : Boundary value problems |
| ISBN | : |
Layered Media Green's Functions
| Author | : Aytac Alparslan |
| Publisher | : LAP Lambert Academic Publishing |
| Total Pages | : 152 |
| Release | : 2011-09 |
| Genre | : |
| ISBN | : 9783845442693 |
In electromagnetics, Green's functions, i.e. the fields or potentials created by a point source, are the most important building blocks for the numerical methods like Method of Moments, Multiple Multipole Program, FEM-BEM, etc. In these methods, after a magnitude and position deciding process is carried out for the point sources, the field scattered or generated by the objects are obtained as a superposition of the Green's functions. In free-space, the Green's functions are given as analytical functions, but in the case of a layered geometry, which is the case for most of the applications, the field generated by the point source is obtained as a superposition of plane waves that propagate in all the directions. This gives rise to an integral with infinite bounds where the integrands are oscillatory and singular in general. In this book, a detailed analysis is carried out to obtain the layered Green's functions in a fast, robust and efficient way, with a special emphasis on the integrands for all different layer types (lossy, left handed, metal, ...) and geometrical parameters. Several MATLAB codes (incl. plane wave visualizer, GPOF) used in the book are also included as an appendix.
Dyadic Green Functions in Electromagnetic Theory
| Author | : Chen-to Tai |
| Publisher | : Institute of Electrical & Electronics Engineers(IEEE) |
| Total Pages | : 368 |
| Release | : 1994 |
| Genre | : Mathematics |
| ISBN | : |
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.
Static Green's Functions in Anisotropic Media
| Author | : Ernian Pan |
| Publisher | : Cambridge University Press |
| Total Pages | : 357 |
| Release | : 2015-04-30 |
| Genre | : Technology & Engineering |
| ISBN | : 131623987X |
This book presents basic theory on static Green's functions in general anisotropic magnetoelectroelastic media including detailed derivations based on the complex variable method, potential method, and integral transforms. Green's functions corresponding to the reduced cases are also presented including those in anisotropic and transversely isotropic piezoelectric and piezomagnetic media, and in purely anisotropic elastic, transversely isotropic elastic and isotropic elastic media. Problems include those in three-dimensional, (two-dimensional) infinite, half, and biomaterial spaces (planes). While the emphasis is on the Green's functions related to the line and point force, those corresponding to the important line and point dislocation are also provided and discussed. This book provides a comprehensive derivation and collection of the Green's functions in the concerned media, and as such, it is an ideal reference book for researchers and engineers, and a textbook for both students in engineering and applied mathematics.
Theory and Computation of Electromagnetic Fields in Layered Media
| Author | : Vladimir Okhmatovski |
| Publisher | : John Wiley & Sons |
| Total Pages | : 756 |
| Release | : 2024-04-09 |
| Genre | : Science |
| ISBN | : 1119763215 |
Explore the algorithms and numerical methods used to compute electromagnetic fields in multi-layered media In Theory and Computation of Electromagnetic Fields in Layered Media, two distinguished electrical engineering researchers deliver a detailed and up-to-date overview of the theory and numerical methods used to determine electromagnetic fields in layered media. The book begins with an introduction to Maxwell’s equations, the fundamentals of electromagnetic theory, and concepts and definitions relating to Green’s function. It then moves on to solve canonical problems in vertical and horizontal dipole radiation, describe Method of Moments schemes, discuss integral equations governing electromagnetic fields, and explains the Michalski-Zheng theory of mixed-potential Green’s function representation in multi-layered media. Chapters on the evaluation of Sommerfeld integrals, procedures for far field evaluation, and the theory and application of hierarchical matrices are also included, along with: A thorough introduction to free-space Green’s functions, including the delta-function model for point charge and dipole current Comprehensive explorations of the traditional form of layered medium Green’s function in three dimensions Practical discussions of electro-quasi-static and magneto-quasi-static fields in layered media, including electrostatic fields in two and three dimensions In-depth examinations of the rational function fitting method, including direct spectra fitting with VECTFIT algorithms Perfect for scholars and students of electromagnetic analysis in layered media, Theory and Computation of Electromagnetic Fields in Layered Media will also earn a place in the libraries of CAD industry engineers and software developers working in the area of computational electromagnetics.
Heat Conduction Using Green's Functions
| Author | : Kevin Cole |
| Publisher | : Taylor & Francis |
| Total Pages | : 666 |
| Release | : 2010-07-16 |
| Genre | : Science |
| ISBN | : 143989521X |
Since its publication more than 15 years ago, Heat Conduction Using Green's Functions has become the consummate heat conduction treatise from the perspective of Green's functions-and the newly revised Second Edition is poised to take its place. Based on the authors' own research and classroom experience with the material, this book organizes the so
Radiation and Scattering of Waves
| Author | : Leopold B. Felsen |
| Publisher | : John Wiley & Sons |
| Total Pages | : 934 |
| Release | : 1994-01-15 |
| Genre | : Technology & Engineering |
| ISBN | : 9780780310889 |
As relevant today as it was when it was first published 20 years ago, this book is a classic in the field. Nowhere else can you find more complete coverage of radiation and scattering of waves. The chapter: Asympotic Evaluation of Integrals is considered the definitive source for asympotic techniques. This book is essential reading for engineers, physicists and others involved in the fields of electromagnetics and acoustics. It is also an indispensable reference for advanced engineering courses.
