Download or read book Iterative Techniques for the Solution of Integral Equations in Transient Electromagnetic Scattering written by Antonius Gregorius Tijhuis and published by . This book was released on 1989 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Iterative Techniques for the Solution of Integral Equations in Transient Electromagnetic Scattering written by Anton G. Tijhuis and published by . This book was released on 1989 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Integral Equations and Iteration Methods in Electromagnetic Scattering written by A. B. Samokhin and published by Walter de Gruyter. This book was released on 2013-03-12 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Low Frequency Iterative Solution of Integral Equations in Electromagnetic Scattering Theory written by George A. Gray and published by . This book was released on 1978 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report investigates the scattering of electromagnetic waves by a perfectly conducting object. The incident field is assumed to be time harmonic and the scatterer a closed bounded Lyapunov surface with no holes. A boundary integral equation for the total field (incident plus scattered) is derived using an integral representation of the total field analogous to Green's formula. The proof that this boundary integral equation can be solved by iteration rests on showing that the spectral radius of the resulting integral operator is less than one for small perturbations of the corresponding potential operator. (Author).

Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Cho Chew and published by Morgan & Claypool Publishers. This book was released on 2009 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms

Download or read book Surface Integral Equation Formulations for Solving Electromagnetic Scattering Problems with Iterative Methods written by Pasi Ylä-Oijala and published by . This book was released on 2005 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Over relaxation Method for the Iterative Solution of Integral Equations in Scattering Problems written by R.E. Kleinman and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Integral Equation Method for Electromagnetic Scattering Problems written by Arthur K. Jordan and published by . This book was released on 1975 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this memorandum report is to document the analysis which was performed to obtain the matrix equation which represents the electromagnetic fields scattered from axially symmetric targets. Although these results are not new, the analysis is presented in a concise, logical manner which is suitable for computer programming and which provides the foundation for the solution of diverse transient electromagnetic scattering problems by the newer methods of natural mode representations and singularity expansion techniques. The motivation for this study was to formulate in an understandable manner the necessarily complicated and tedious electromagnetic scattering calculations. Even relatively simple targets, e.g., missiles and torpedoes, require lengthy calculations. The integral equation for electromagnetic scattering from axially symmetric targets is derived. The boundary conditions for the case of metallic (perfectly conducting) and for the case of lossy dielectric targets are applied. The integral equation is reduced to matrix form by application of the method of moments. The scattering cross section is derived. A typical target geometry (sphere-cone-sphere) is used as an example. The detailed calculations are documented for reference with future computer calculations.

Download or read book Iterative Methods for Calculating Static Fields and Wave Scattering by Small Bodies written by Alexander G. Ramm and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iterative methods for calculating static fields are presented in this book. Static field boundary value problems are reduced to the boundary integral equations and these equations are solved by means of iterative processes. This is done for interior and exterior problems and for var ious boundary conditions. Most problems treated are three-dimensional, because for two-dimensional problems the specific and often powerful tool of conformal mapping is available. The iterative methods have some ad vantages over grid methods and, to a certain extent, variational methods: (1) they give analytic approximate formulas for the field and for some functionals of the field of practical importance (such as capacitance and polarizability tensor), (2) the formulas for the functionals can be used in a computer program for calculating these functionals for bodies of arbitrary shape, (3) iterative methods are convenient for computers. From a practical point of view the above methods reduce to the cal culation of multiple integrals. Of special interest is the case of inte grands with weak singularities. Some of the central results of the book are some analytic approximate formulas for scattering matrices for small bodies of arbitrary shape. These formulas answer many practical questions such as how does the scattering depend on the shape of the body or on the boundary conditions, how does one calculate the effective field in a medium consisting of many small particles, and many other questions.

Download or read book Time Domain Boundary Integral Equations Analysis written by Amir Geranmayeh and published by Sudwestdeutscher Verlag Fur Hochschulschriften AG. This book was released on 2011-01 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present research study mainly involves a survey of diverse time-domain boundary element methods that can be used to numerically solve the retarded potential integral equations. The aim is to address the late-time stability, accuracy, and computational complexity concerns in time-domain surface integral equation approaches. The study generally targets the transient electromagnetic scattering of three- dimensional perfectly conducting bodies. Efficient algorithms are developed to numerically solve the electric, magnetic, and combined field integral equations for the unknown induced surface current. The algorithms are mainly categorized into three major discretization schemes, namely the marching-on- in-time, the marching-on-in-order, and the convolution quadrature methods or finite difference delay modeling. Possible choices of space-time integration are examined and the results are compared with the finite integration technique's solution. The outcome is applied to the non- dispersive modeling of the field propagation in particle accelerator structures, when travelling bunches of charged particles passes through the beam line elements.

Download or read book A Hybrid Method for Solving Time domain Integral Equations in Transient Scattering written by Anton G. Tijhuis and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation written by Alfredo Berm?dez and published by SIAM. This book was released on 2000-01-01 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.

Download or read book Integral Equation Techniques in Transient Electromagnetics written by Dragan Poljak and published by Computational Mechanics. This book was released on 2003 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transient electromagnetic phenomena can be treated in two ways, either using direct time domain modeling or frequency domain analysis applying the inverse Fourier transform. Both approaches are important since each has distinct advantages depending on the situation or the application.

Download or read book The Method of Conjugate Gradients for the Numerical Solution of Large Body Electromagnetic Scattering Problems written by A. F. Peterson and published by . This book was released on 1985 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades, many techniques have been developed for the numerical solution of integral equations representing electromagnetic scattering problems. However, a majority of these techniques are limited to electrically small scatterers, i.e., below the resonance range. This is primarily because the amount of CPU computer time and storage requirements become prohibitive for large body scatterers. Recent work indicates that a procedure based on the iterative conjugate gradient method can be incorporated into conventional numerical methods in order to extend the range of application of the techniques to larger geometries. In this paper we discuss the conjugate gradient method and illustrate several ways in which it can be applied to electromagnetic scattering problems. The discussion includes mention of the method as compared to conventional approaches as well as some of its limitations. In many practical scattering problems of interest at optical wavelengths, the method can provide a convenient means of treating problems which are electrically more than an order of magnitude larger than can be handied by other techniques. Keywords: Electromagnetic scattering; Method of moments; Conjugate gradient method; Spectral iterative technique; Numerical electromagnetics. (Author).

Download or read book Pulsed EM Field Computation in Planar Circuits written by Martin Stumpf and published by CRC Press. This book was released on 2018-06-01 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The pulsed EM characterization of planar circuits is of high practical importance in many areas of science and engineering such as electromagnetic compatibility and antenna design. This book is hence devoted to the mathematical formulation and numerical analysis of arbitrarily-shaped parallel-plane structures concerning their pulsed EM propagation, radiation and scattering behavior. The key emphasis is on the time-domain reciprocity-based integral-equation formulations and their efficient numerical solution.

Download or read book Application of Geometric Algebra to Electromagnetic Scattering written by Andrew Seagar and published by Springer. This book was released on 2015-11-12 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents the Clifford-Cauchy-Dirac (CCD) technique for solving problems involving the scattering of electromagnetic radiation from materials of all kinds. It allows anyone who is interested to master techniques that lead to simpler and more efficient solutions to problems of electromagnetic scattering than are currently in use. The technique is formulated in terms of the Cauchy kernel, single integrals, Clifford algebra and a whole-field approach. This is in contrast to many conventional techniques that are formulated in terms of Green's functions, double integrals, vector calculus and the combined field integral equation (CFIE). Whereas these conventional techniques lead to an implementation using the method of moments (MoM), the CCD technique is implemented as alternating projections onto convex sets in a Banach space. The ultimate outcome is an integral formulation that lends itself to a more direct and efficient solution than conventionally is the case, and applies without exception to all types of materials. On any particular machine, it results in either a faster solution for a given problem or the ability to solve problems of greater complexity. The Clifford-Cauchy-Dirac technique offers very real and significant advantages in uniformity, complexity, speed, storage, stability, consistency and accuracy.

Download or read book The Linear Sampling Method in Inverse Electromagnetic Scattering written by Fioralba Cakoni and published by SIAM. This book was released on 2011-01-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation's solution as an indicator function for the determination of the support of the scattering object. This book describes the linear sampling method for a variety of electromagnetic scattering problems. It presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave.