Download or read book Iterative Methods for Solving Large Linear Systems in the Moment Method Analysis of Electromagnetic Scattering written by James Michael Sturm and published by . This book was released on 1993 with total page 186 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 VSP. This book was released on 2001 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of scattering of electromagnetic waves in inhomogeneous three-dimensional bounded media is extremely important from both theoretical and practical viewpoints, and constitutes the core family of problems in electromagnetics. In this monograph the following fundamental topics relating to these problems are considered: mathematical problems and methods related to the scattering of electromagnetic waves by inhomogeneous three-dimensional anisotropic bodies and their reduction to volume singular integral equations; iteration techniques for solving linear operator equations; and efficient methods for solving volume integral equations that employ iteration procedures. Nowadays, volume singular integral equations are widely used as an efficient tool of numerical solution to the problems of complicated three-dimensional structures. Analysis of integral equations and corresponding scattering problems, including nonclassical ones, is performed in the general formulation. The necessary and sufficient conditions that provide fulfilment of the Noether property of operators and sufficient conditions for the Fredholm property are obtained. Existence and uniqueness theorems for scattering problems considered in both classical and nonclassical settings are proved. Much attention is given to iteration techniques and development of corresponding computational algorithms. This monograph will be of interest to researchers in electromagnetics, integral equations, iteration methods and numerical analysis both in academia and industry.

Download or read book Preconditioned Iterative Methods for Solving Dense Linear Systems from Electromagnetic Scattering Applications written by Jeonghwa Lee and published by . This book was released on 2004 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Electromagnetic Scattering by Numerical Methods Applicable for Large Structures written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Iterative Solution of Large Linear Systems written by David M. Young and published by Courier Corporation. This book was released on 2003-01-01 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores the convergence properties of the SOR method and related techniques in terms of the spectral radii of the associated matrices as well as in terms of certain matrix norms. Contents include a review of matrix theory and general properties of iterative methods; SOR method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of SOR theory and variants of method; second-degree methods, alternating direction-implicit methods, and a comparison of methods. 1971 edition.

Download or read book Electromagnetic Scattering by Numerical Methods Applicable for Large Structures written by and published by . This book was released on 2000 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this research is to develop numerical methods for general and efficient solutions to the linear systems obtained using the integral equations arising from electromagnetic scattering problems involving electrically large structures. In the process, the prior art in this area is reviewed. Then, the integral equations and their solutions by the method of moments (MoM) are derived. The progressive numerical method (PNM) and the projection iterative method (PIM) are analysed, including formulations, operation counts, stopping criteria, and their connection. In practice, the PNM is successful in calculation of two-dimensional scattering problems. The iterative PNM and a special case of the PNM, the modified spatial decomposition technique (SDT), are applied to the problems and compared with the PNM. Examples show that the PNM can depress internal resonances. The PIM is implemented in the two-dimensional TE case and convergent solutions are obtained. In order to overcome the difficulties with three-dimensional scattering problems, the PIM is implemented to solve the matrix equation obtained by MoM. Convergent results are observed in all examples being calculated for two- and three-dimensional objects. The PIM's iteration process can be accelerated by appropriate relaxation factors. The dependence of optimum relaxation factors on various parameters are investigated. Approximate results of large objects are obtained by the PIM with much less computation effort than the direct method. By allowing certain smaller elements in a coefficient matrix to be zero, the PIM can be further sped up, while still getting good far field results. This technique was found to be object dependent, providing better results for spheres than other objects.

Download or read book Application of an Iterative Method for the Solution of Electromagnetic Scattering From Wire Antennas written by and published by . This book was released on 2004 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we apply vector epsilon-algorithm to solve a system of linear equations arising in the method of moments solution of electromagnetic scattering from wire antennas. The method does not require the inversion of a matrix. Hence, it avoids the problems associated with matrix inversion of singular or ill-conditioned matrices.

Download or read book Numerical Methods to Solve the Problem of Scattering from Electrically Large Bodies written by A. Chang and published by . This book was released on 1988 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: An alternative to directly inverting the large MoM matrix is to recast the problem in a form that is suitable for solution via iterative schemes. Although the use of iterative methods may enable one to treat scatterers that are an order of magnitude larger electrically, a close examination of them shows that most of them are not well-suited for handling multiple excitations in an efficient manner. In this report some variational-iteration schemes based on the use of prechosen entire domain basis functions that are suitable not only for treating larger bodies but for handling multiple incident angles as well are suggested. It is shown that, for this type of variational iteration schemes, the choice of an initial guess plays an important role in achieving a rapid convergence. Also, in an effort to further improve the convergence, a hybrid technique, where the method of moments is utilized to generate better gradient vectors in the iterative procedure, is developed. A simple case of scattering from a perfectly conducting or resistively-loaded strip is use to demonstrate the effectiveness of the methods. Keywords: Electromagnetic scattering, Iterative methods, Radar cross sections, and Resistive strips. (KR).

Download or read book written by and published by IOS Press. This book was released on with total page 7289 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Analysis of the Spectral Iterative Technique for Electromagnetic Scattering from Individual and Periodic Structures written by A. F. Peterson and published by . This book was released on 1986 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is shown that the discrete system solved by the Spectral Iterative Technique (SIT) is of Toeplitz or block Toeplitz form, and thus may be more amenable to direct solution in certain cases. In addition, the discrete system associated with the SIT is shown to be equivalent to a moment method matrix equation, with basis and testing functions chosen implicitly in the process. Thus, there is no additional generality in the SIT type of approach compared to the conventional method of moments. These statements concern the discretization procedure used within the SIT, and apply whether the SIT is implemented in its original form or in connection with the conjugate gradient method. Simple examples of scattering from a single strip and from a periodic array of strips are used to illustrate the concepts. Keywords: Electromagnetic scattering; Method of moments; Frequency selective surface. (JHD).

Download or read book Theory and Phenomena of Metamaterials written by Filippo Capolino and published by CRC Press. This book was released on 2017-12-19 with total page 1304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Phenomena of Metamaterials offers an in-depth look at the theoretical background and basic properties of electromagnetic artificial materials, often called metamaterials. A volume in the Metamaterials Handbook, this book provides a comprehensive guide to working with metamaterials using topics presented in a concise review format along with numerous references. With contributions from leading researchers, this text covers all areas where artificial materials have been developed. Each chapter in the text features a concluding summary as well as various cross references to address a wide range of disciplines in a single volume.

Download or read book Modern Electromagnetic Scattering Theory with Applications written by Andrey V. Osipov and published by John Wiley & Sons. This book was released on 2017-01-31 with total page 1482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. The book is a tutorial for advanced students learning the mathematics and physics of electromagnetic scattering and curious to know how engineering concepts and techniques relate to the foundations of electromagnetics

Download or read book Large Scale Structures in Acoustics and Electromagnetics written by National Research Council and published by National Academies Press. This book was released on 1996-05-05 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on computational methods to determine the dynamics of large-scale electromagnetic, acoustic, and mechanical systems, including those with many substructures and characterized by an extended range of scales. Examples include large naval and maritime vessels, aerospace vehicles, and densely packed microelectronic and optical integrated circuits (VLSI). The interplay of time and frequency-domain computational and experimental procedures was addressed, emphasizing their relationship and synergy, and indicating mathematics research opportunities.

Download or read book Acoustic and Electromagnetic Scattering Analysis Using Discrete Sources written by Adrian Doicu and published by Academic Press. This book was released on 2000-07-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discrete sources method is an efficient and powerful tool for solving a large class of boundary-value problems in scattering theory. A variety of numerical methods for discrete sources now exist. In this book, the authors unify these formulations in the context of the so-called discrete sources method. Comprehensive presentation of the discrete sources method Original theory - an extension of the conventional null-field method using discrete sources Practical examples that demonstrate the efficiency and flexibility of elaborated methods (scattering by particles with high aspect ratio, rough particles, nonaxisymmetric particles, multiple scattering) List of discrete sources programmes available via the Internet

Download or read book Analysis and Numerical Solution of an Integral Equation Method for Electromagnetic Scattering from a Cavity in a Ground Plane written by Eric T. Howe and published by . This book was released on 2001-09-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this research the electromagnetic scattering of a plane wave from a two-dimensional cavity embedded in an infinite, perfectly conducting ground plane is investigated. The plane wave is assumed to be under transverse electric (TE) polarization with respect to the x-axis. The cavity may be empty or filled with an arbitrary homogeneous, lossy material. A coupled set of scalar integral equations that govern the electromagnetic scattering is implemented. An approximate solution to the scalar integral equations is found via a Method of Moments (MoM) algorithm. The algorithm is implemented in a computer code, and approximations to the total magnetic field on the cavity surface and aperture as well as the normal derivative of the total magnetic field on the cavity aperture are obtained. These fields are then used to calculate the two-dimensional monostatic RCS signatures of various test cavities. The numerical results from the algorithm are shown to agree well with the RCS signatures calculated by other well-known methods and published results. In addition to being accurate, the algorithm is very computationally efficient. The process results in simply solving a relatively small, well-conditioned matrix system for each incident angle to produce the unknown fields.

Download or read book Understanding Electromagnetic Scattering Using the Moment Method written by Randy Bancroft and published by Artech House Publishers. This book was released on 1996 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn how to quickly solve electromagnetic scattering problems using the Moment Method with this valuable self-study package. The clearly written book provides examples of Moment Method problems, reviews the numerical techniques required to solve them, and demonstrates the use of the moment method in solving scattering from basic shapes, including: wires, two-dimensional strips and contours, and flat plates.

Download or read book Electromagnetic Scattering written by Piergiorgio Uslenghi and published by Elsevier. This book was released on 2012-12-02 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetic Scattering is a collection of studies that aims to discuss methods, state of the art, applications, and future research in electromagnetic scattering. The book covers topics related to the subject, which includes low-frequency electromagnetic scattering; the uniform asymptomatic theory of electromagnetic edge diffraction; analyses of problems involving high frequency diffraction and imperfect half planes; and multiple scattering of waves by periodic and random distribution. Also covered in this book are topics such as theories of scattering from wire grid and mesh structures; the electromagnetic inverse problem; computational methods for transmission of waves; and developments in the use of complex singularities in the electromagnetic theory. Engineers and physicists who are interested in the study, developments, and applications of electromagnetic scattering will find the text informative and helpful.