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A Low Order Singularity Electric Field Integral Equation Solvable With Pulse Basis Functions And Point Matching
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Book Synopsis A Low Order-singularity Electric-field Integral Equation Solvable with Pulse Basis Functions and Point Matching by : Robert A. Shore
Download or read book A Low Order-singularity Electric-field Integral Equation Solvable with Pulse Basis Functions and Point Matching written by Robert A. Shore and published by . This book was released on 2005 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Combination of Rao-Wilton-Glisson and Asymptotic Phase Basis Functions to Solve the Electric and Magnetic Field Integral Equations by : John Robert Gulick
Download or read book A Combination of Rao-Wilton-Glisson and Asymptotic Phase Basis Functions to Solve the Electric and Magnetic Field Integral Equations written by John Robert Gulick and published by . This book was released on 2001 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the method of moments to solve the electric and magnetic field integral equations for the currents on a PEC surface requires a large number of unknowns to capture the current's rapid spatial variation across the surface. Rao-Wilton-Glisson (RWG) vector basis functions 1 have been successfully used for the past twenty years 1, 2, 3,.... Unfortunately, the required number of unknowns is on the order of 100 per square wavelength making electrically large problems impractical. For large smooth objects, the rapid spatial variation in the current is due to phase variations rather than magnitude variations. Thus, using asymptotic phase (AP) basis functions can drastically reduce the number of unknowns 3 for large, smooth metallic bodies. The A') basis flinction incorporates the anticipated phase, hence represents a more efficient basis function for a large class of problems. However, using RWG basis functions for monostatic calculations is more efficient since the matrix entries need not be recomputed for each new incidence angle, as is the case for an AP expansion. One can combine the methods; selecting RWG or AP basis functions for a given geometry based on an element's location within the geometry. This allows the relaxation of mesh density in smooth flat regions not near the discontinuities resulting in a significant reduction of unknowns. This research shows that combining functions is highly efficient and the effectiveness of this method depends on the geometry of application.
Book Synopsis The Singularity Expansion Method for Integrated Electronics by : George Warren Hanson
Download or read book The Singularity Expansion Method for Integrated Electronics written by George Warren Hanson and published by . This book was released on 1991 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On The Formulation and Solution of the E-Field Integral Equation by : J.L. Volakis, J.M.Jin
Download or read book On The Formulation and Solution of the E-Field Integral Equation written by J.L. Volakis, J.M.Jin and published by . This book was released on 1991 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book JJAP written by and published by . This book was released on 1988 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singular Integral Equations by : Ricardo Estrada
Download or read book Singular Integral Equations written by Ricardo Estrada and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0
Book Synopsis Japanese Journal of Applied Physics by :
Download or read book Japanese Journal of Applied Physics written by and published by . This book was released on 1988 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
Book Synopsis A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients by : L. G. Mikhailov
Download or read book A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients written by L. G. Mikhailov and published by Walter de Gruyter GmbH & Co KG. This book was released on 1970-12-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients".
Book Synopsis A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients by : Leonid Grigorʹevich Mikhaĭlov
Download or read book A New Class of Singular Integral Equations and Its Application to Differential Equations with Singular Coefficients written by Leonid Grigorʹevich Mikhaĭlov and published by . This book was released on 1970 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral Equation Methods for Electromagnetic and Elastic Waves by : Weng Chew
Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Chew and published by Springer Nature. This book was released on 2022-05-31 with total page 241 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
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.
Book Synopsis Evaluation of Singular Electric Field Integral Equation (EFIE) Matrix Elements by :
Download or read book Evaluation of Singular Electric Field Integral Equation (EFIE) Matrix Elements written by and published by . This book was released on 2001 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: The electric field integral equation (EFIE) solution for scattering from an arbitrary three-dimensional geometry was published by Rao, Wilton, and Glisson (RWG) in 1982. For electrically large problems, with large systems of equations, the physical fidelity of the solution can be improved with increased numerical accuracy of the Galerkin inner products which populate the method of moments (MoM) impedance matrix. A new treatment of these inner products is presented here which improves the accuracy of the singular surface integrals that result from the Galerkin formulation.
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).
Book Synopsis Methods of Singular Integral Equations by : Abduhamid Dzhuraev
Download or read book Methods of Singular Integral Equations written by Abduhamid Dzhuraev and published by Chapman and Hall/CRC. This book was released on 1992-07-19 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers the class of singular integral equations on bounded two-dimensional multiply connected domains on the plane, and their applications to the theory of general elliptic systems of partial differential equations.
Book Synopsis Fast and Well-Conditioned Integral Equation Solvers for Low-Frequency Electromagnetic Problems by : Qin Liu
Download or read book Fast and Well-Conditioned Integral Equation Solvers for Low-Frequency Electromagnetic Problems written by Qin Liu and published by . This book was released on 2017-01-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Fast and Well-conditioned Integral Equation Solvers for Low-frequency Electromagnetic Problems" by Qin, Liu, 刘{274b4d}, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Inspired by the important low frequency applications, such as the integrate circuits, the nano electromagnetic compatibility and quantum optics, several aspects of the computational electromagnetic low-frequency problems in surface integral equation (SIE) are carefully investigated in this dissertation. Firstly a capacitive model is studied that the convergence of the matrix system is co-determined by both the condition of the matrix and the righthand-side excitation. In a current solution, the weighted contributions from different singular vectors are not only decided by the corresponding singular values but also the right-hand side. The convergence of the capacitive problems is guaranteed by the fact that the singular vectors corresponding to the small singular values are not excited under the delta-gap source. The dominant charge currents are enough to capture the capacitive physics. Detailed spectral analysis with right-hand side effect validates the proposed theory. Secondly, in order to overcome the low-frequency inaccuracy problem for open capacitive structures in CMP-EFIE, a perturbed CMP-EFIE is proposed to extract accurate high-order current at low frequencies. Further study of the capacitive problems in CMP-EFIE utilizes a simplified two-term system by removing the contribution from the hypersingular preconditioned term, which captures the correct physics without doing the perturbation steps. The afore-built right-hand side analysis theory is applied here to explain the stability and accuracy of the simplified CMP-EFIE system. Thirdly, a point testing system is constructed to eliminate the nontrivial nullspaces of the static MFIE systems by enforcing extra zero magnetic flux conditions at the testing points locations. The projection of the current solution onto the magnetostatic nullspaces is truncated accordingly, thus the system convergence can be much improved without losing any accuracy. Finally, the electromagnetic solution is obtained from a potential-based integral equation solver, capturing electrostatic physics from the scalar potential formulation and magnetostatic physics from the vector potential formulation. The combination of the two formulations reveals the correct solution and physics at low frequencies. And the equations, formulated with the potential quantities, make it possible to couple with quantum effects theories. The resulting system appears to be a symmetric saddle point problem, where the efficiency of the iterative solver can be well-solved by a typical appropriate constraint preconditioner. The stability and capability of the new system in solving different kinds of electromagnetic problems are validated over a wide range of frequency range. The research topics in this dissertation cover different aspects of low frequency integral equation solvers, aiming at fast, stable, wide-band and accurate integral algorithms. Subjects: Integral equations Electromagnetic fields - Mathematical models
Book Synopsis Integral Equations for Real-Life Multiscale Electromagnetic Problems by : Francesca Vipiana
Download or read book Integral Equations for Real-Life Multiscale Electromagnetic Problems written by Francesca Vipiana and published by IET. This book was released on 2024-01-09 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compiled by two editors with substantial experience in developing algorithms to numerically solve integral equations in the case of discretized real-life structures, this book explains the main available approaches for the numerical solution of surface integral equations for analysing real-world multi-scale electromagnetic problems.
