Method of Moments Solution of a Nonconformal Volume Integral Equation Via the IE-FFT Algorithm for Electromagnetic Scattering from Penetrable Objects

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Publisher :
ISBN 13 : 9780549075820
Total Pages : 128 pages
Book Rating : 4.0/5 (758 download)

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Book Synopsis Method of Moments Solution of a Nonconformal Volume Integral Equation Via the IE-FFT Algorithm for Electromagnetic Scattering from Penetrable Objects by : Nilufer A. Ozdemir

Download or read book Method of Moments Solution of a Nonconformal Volume Integral Equation Via the IE-FFT Algorithm for Electromagnetic Scattering from Penetrable Objects written by Nilufer A. Ozdemir and published by . This book was released on 2007 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is aimed at developing a volume integral equation which (1) is well-posed, i.e., when successively finer meshes are utilized to produce more accurate results by the method of moments, the condition number of the coefficient matrix remains bounded and the eigenvalue distribution preserves itself; (2) leads to a symmetric coefficient matrix when solved by the method of moments provided that the medium that fills the object of interest is reciprocal; (3) is applicable to a nonconformal mesh where the nodes do not match along an interface.

Integral Equations and Iteration Methods in Electromagnetic Scattering

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Publisher : Walter de Gruyter
ISBN 13 : 3110942046
Total Pages : 112 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Integral Equations and Iteration Methods in Electromagnetic Scattering by : A. B. Samokhin

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:

Novel Single Source Integral Equation for Analysis of Electromagnetic Scattering by Penetrable Objects

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (135 download)

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Book Synopsis Novel Single Source Integral Equation for Analysis of Electromagnetic Scattering by Penetrable Objects by : Farhad Sheikh Hosseini Lori

Download or read book Novel Single Source Integral Equation for Analysis of Electromagnetic Scattering by Penetrable Objects written by Farhad Sheikh Hosseini Lori and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a novel single source surface electric field integral equation (EFIE) for the full-wave scattering problems by homogeneous dielectric objects and magneto-quasi-static characterization of the multiconductor transmission lines (MTLs) to determine inductance and resistance. Both the low and higher order method of moments (MoM) schemes are developed for numerical solution of this novel equation. The required theorems and derivations are given in detail. Numerical validations of this equation are conducted for various formulations such as scalar and vector 2D scattering problems, full-wave 3D scattering problems, and the problems of current flow in the 2D conductors of complex cross-sections. Error controllability of the numerically computed fields confirms that the proposed equation is rigorous in nature and may be an advantageous alternative to the other known single and double source surface integral equations (SIEs). The proposed single source integral equation (SSIE) features only electric type Green's functions, which distinguishes it from the previously know SSIE formulations. As such the new equation can be formulated in the form free of derivatives acting on the kernels. The new SSIE also features only one unknown surface function instead of two unknown functions as featured in the traditional SIEs. Unlike previously known single source surface integral equations derived through restricting of the single source field representation with surface equivalence principle, the new equation is obtained by constraining of the such representation with the volume equivalence principle. As a result, the new equation features integral operators that translate the fields from the surface of the scatterer to its volume and then back to its surface, lending it the name of Surface-Volume-Surface Electric Field Integral Equation (SVS-EFIE).

Integral Equation Methods for Electromagnetic and Elastic Waves

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598291483
Total Pages : 259 pages
Book Rating : 4.5/5 (982 download)

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Book Synopsis Integral Equation Methods for Electromagnetic and Elastic Waves by : Weng Cho Chew

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

Integral Equation Methods in Scattering Theory

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Publisher : SIAM
ISBN 13 : 1611973163
Total Pages : 286 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Integral Equation Methods in Scattering Theory by : David Colton

Download or read book Integral Equation Methods in Scattering Theory written by David Colton and published by SIAM. This book was released on 2013-11-15 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and H?lder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1627051465
Total Pages : 131 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects by : Erdogan Alkan

Download or read book Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects written by Erdogan Alkan and published by Morgan & Claypool Publishers. This book was released on 2013-01-01 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the application of the overlapping grids approach to solve chiral material problems using the FDFD method. Due to the two grids being used in the technique, we will name this method as Double-Grid Finite Difference Frequency-Domain (DG-FDFD) method. As a result of this new approach the electric and magnetic field components are defined at every node in the computation space. Thus, there is no need to perform averaging during the calculations as in the aforementioned FDFD technique [16]. We formulate general 3D frequency-domain numerical methods based on double-grid (DG-FDFD) approach for general bianisotropic materials. The validity of the derived formulations for different scattering problems has been shown by comparing the obtained results to exact and other solutions obtained using different numerical methods. Table of Contents: Introduction / Chiral Media / Basics of the Finite-Difference Frequency-Domain (FDFD) Method / The Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Bianisotropic Medium / Scattering FromThree Dimensional Chiral Structures / ImprovingTime and Memory Efficiencies of FDFD Methods / Conclusions / Appendix A: Notations / Appendix B: Near to Far FieldTransformation

Direct Boundary Integral Equation Method for Electromagnetic Scattering at Partly Coaeted Dielectric Objects

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Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (255 download)

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Book Synopsis Direct Boundary Integral Equation Method for Electromagnetic Scattering at Partly Coaeted Dielectric Objects by : B. Cranganu-Cretu

Download or read book Direct Boundary Integral Equation Method for Electromagnetic Scattering at Partly Coaeted Dielectric Objects written by B. Cranganu-Cretu and published by . This book was released on 2004 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Integral Equation Techniques in Transient Electromagnetics

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Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Integral Equation Techniques in Transient Electromagnetics by : Dragan Poljak

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.

Time Domain Boundary Integral Equations Analysis

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Publisher : Sudwestdeutscher Verlag Fur Hochschulschriften AG
ISBN 13 : 9783838123936
Total Pages : 208 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Time Domain Boundary Integral Equations Analysis by : Amir Geranmayeh

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.

Dual Surface Electric Field Integral Equation

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (946 download)

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Book Synopsis Dual Surface Electric Field Integral Equation by :

Download or read book Dual Surface Electric Field Integral Equation written by and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed analysis and solution of the problem of scattering by a perfectly electrically conducting body of revolution using the dual surface electric field integral equation (DSEFIE) is given for the first time. Scattering calculations using the DSEFIE are free from the spurious resonances that can seriously degrade the accuracy of calculations made using the conventional electric field integral equation or magnetic field integral equation. The Galerkin form of the method of moments is used to solve the DSEFIE, and the solution is given by detailed expressions suitable for computer programming. Calculations performed with a computer program of the DSEFIE solution demonstrate the removal of spurious resonances from radar cross section patterns of spheres, spheroids, and finite cylinders obtained with the conventional electric field integral equation. Cone-sphere scattering calculations show the importance of careful placement of the dual surface when the DSEFIE is applied to scatterers with narrow tips.

The Generalized Method of Moments for Electromagnetic Integral Equations

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Publisher :
ISBN 13 : 9781321707571
Total Pages : 193 pages
Book Rating : 4.7/5 (75 download)

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Book Synopsis The Generalized Method of Moments for Electromagnetic Integral Equations by : Daniel Lawrence Dault

Download or read book The Generalized Method of Moments for Electromagnetic Integral Equations written by Daniel Lawrence Dault and published by . This book was released on 2015 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Enhanced Volume Integral Equation Method and Augmented Equivalence Principle Algorithm for Low Frequency Problems

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (774 download)

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Book Synopsis An Enhanced Volume Integral Equation Method and Augmented Equivalence Principle Algorithm for Low Frequency Problems by : Lin Sun

Download or read book An Enhanced Volume Integral Equation Method and Augmented Equivalence Principle Algorithm for Low Frequency Problems written by Lin Sun and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Two techniques based on integral equation methods are addressed. Firstly, a novel volume integral equation method is proposed to characterize the scattering properties of dielectric objects involving inhomogeneous and anisotropic permittivity and permeability. Two algorithms are available: conventional method of moments and reciprocity preserving method. Both of them are applied to both the permittivity and permeability terms. Curl-conforming edge elements are used to model the electric field distributions. Integration by parts is applied to deal with the singularities at the boundary introduced by the discontinuities of the material properties. Duffy's method formulations are derived for all the surface and volume singular integrations. Moreover, the multilevel fast multipole algorithm (MLFMA) is utilized to accelerate the matrix vector product process for large problems. Representative numerical results are shown to be excellent. Secondly, the present equivalence principle algorithm (EPA) is augmented by introducing charge densities as extra unknowns. This helps to separate the vector potential term and scalar potential term and avoid the imbalance at low frequencies. The current continuity constraint is enforced in both the scattering operator and translation operator. These further form a new augmented EPA equation system. With this technique, the low-frequency breakdown of EPA is removed. The augmented system serves not only as a stable low-frequency method, but also as a substitute over the whole frequency band. The new scheme is verified by numerical examples.

Microwave Imaging Methods and Applications

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Publisher : Artech House
ISBN 13 : 1630815268
Total Pages : 295 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis Microwave Imaging Methods and Applications by : Matteo Pastorino

Download or read book Microwave Imaging Methods and Applications written by Matteo Pastorino and published by Artech House. This book was released on 2018-06-30 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microwave Imaging Methods and Applications provides practitioners and researchers with a complete overview of the latest and most important noninvasive and nondestructive techniques for inspecting structures and bodies by using microwaves. Placing emphasis on applications, the book considers many areas, from medical imaging and security… to industrial engineering and subsurface prospection. For each application, readers are presented with the objectives of the inspection and related challenges. Moreover, this groundbreaking resource details computational methods that can be used to solve inverse problems related to specific applications. Including clear examples or the most significant practical results, this forward-looking reference focuses on systems that have been recently developed. Professionals gain the knowledge needed to compare imaging methods used in different applications and develop new uses of imaging apparatuses and systems.

Theory and Computation of Electromagnetic Fields

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Publisher : John Wiley & Sons
ISBN 13 : 111910808X
Total Pages : 744 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Theory and Computation of Electromagnetic Fields by : Jian-Ming Jin

Download or read book Theory and Computation of Electromagnetic Fields written by Jian-Ming Jin and published by John Wiley & Sons. This book was released on 2015-08-10 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews the fundamental concepts behind the theory and computation of electromagnetic fields The book is divided in two parts. The first part covers both fundamental theories (such as vector analysis, Maxwell’s equations, boundary condition, and transmission line theory) and advanced topics (such as wave transformation, addition theorems, and fields in layered media) in order to benefit students at all levels. The second part of the book covers the major computational methods for numerical analysis of electromagnetic fields for engineering applications. These methods include the three fundamental approaches for numerical analysis of electromagnetic fields: the finite difference method (the finite difference time-domain method in particular), the finite element method, and the integral equation-based moment method. The second part also examines fast algorithms for solving integral equations and hybrid techniques that combine different numerical methods to seek more efficient solutions of complicated electromagnetic problems. Theory and Computation of Electromagnetic Fields, Second Edition: Provides the foundation necessary for graduate students to learn and understand more advanced topics Discusses electromagnetic analysis in rectangular, cylindrical and spherical coordinates Covers computational electromagnetics in both frequency and time domains Includes new and updated homework problems and examples Theory and Computation of Electromagnetic Fields, Second Edition is written for advanced undergraduate and graduate level electrical engineering students. This book can also be used as a reference for professional engineers interested in learning about analysis and computation skills.

Iterative Techniques for the Solution of Integral Equations in Transient Electromagnetic Scattering

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Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (654 download)

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Book Synopsis Iterative Techniques for the Solution of Integral Equations in Transient Electromagnetic Scattering by : Anton G. Tijhuis

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:

Modeling and Computations in Electromagnetics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540737782
Total Pages : 239 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Modeling and Computations in Electromagnetics by : Habib Ammari

Download or read book Modeling and Computations in Electromagnetics written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is nothing less than an essential text in what is a new and growing discipline. Electromagnetic modeling and computations is expanding as a result of the steadily increasing demand for designing electrical devices, modeling electromagnetic materials, and simulating electromagnetic fields in nanoscale structures. The aim of this volume is to bring together prominent worldwide experts to review state-of-the-art developments and future trends of modeling and computations in electromagnetics.

Computational Electromagnetics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461443822
Total Pages : 707 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Computational Electromagnetics by : Raj Mittra

Download or read book Computational Electromagnetics written by Raj Mittra and published by Springer Science & Business Media. This book was released on 2013-08-20 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emerging Topics in Computational Electromagnetics in Computational Electromagnetics presents advances in Computational Electromagnetics. This book is designed to fill the existing gap in current CEM literature that only cover the conventional numerical techniques for solving traditional EM problems. The book examines new algorithms, and applications of these algorithms for solving problems of current interest that are not readily amenable to efficient treatment by using the existing techniques. The authors discuss solution techniques for problems arising in nanotechnology, bioEM, metamaterials, as well as multiscale problems. They present techniques that utilize recent advances in computer technology, such as parallel architectures, and the increasing need to solve large and complex problems in a time efficient manner by using highly scalable algorithms.