Home eBooks Download › mapped vector basis functions for electromagnetic integral equations

Mapped Vector Basis Functions For Electromagnetic Integral Equations

Download Mapped Vector Basis Functions For Electromagnetic Integral Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Mapped Vector Basis Functions For Electromagnetic Integral Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Mapped Vector Basis Functions For Electromagnetic Integral Equations

DOWNLOAD

Author : Andrew F. Peterson
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2006

Mapped Vector Basis Functions For Electromagnetic Integral Equations written by Andrew F. Peterson and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Boundary element methods categories.

The method-of-moments solution of the electric field and magnetic field integral equations (EFIE and MFIE) is extended to conducting objects modeled with curved cells. These techniques are important for electromagnetic scattering, antenna, radar signature, and wireless communication applications. Vector basis functions of the divergence-conforming and curl-conforming types are explained, and specific interpolatory and hierarchical basis functions are reviewed. Procedures for mapping these basis functions from a reference domain to a curved cell, while preserving the desired continuity properties on curved cells, are discussed in detail. For illustration, results are presented for examples that employ divergence-conforming basis functions with the EFIE and curl-conforming basis functions with the MFIE. The intended audience includes electromagnetic engineers with some previous familiarity with numerical techniques.

Mapped Vector Basis Functions For Electromagnetic Integral Equations

DOWNLOAD

Author : Andrew Peterson
language : en
Publisher: Springer Nature
Release Date : 2022-06-01

Mapped Vector Basis Functions For Electromagnetic Integral Equations written by Andrew Peterson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Technology & Engineering categories.

Synthesis Series In Computational Electromagnetics Volume 1

DOWNLOAD

Author : Andrew Peterson
language : en
Publisher: Morgan & Claypool
Release Date : 2010-10-15

Synthesis Series In Computational Electromagnetics Volume 1 written by Andrew Peterson and has been published by Morgan & Claypool this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-15 with Electromagnetic fields categories.

This is the first volume in a series of hardcovers combining Synthesis Lectures. This volume contains the following Synthesis books: Mapped Vector Basis Function for Electromagnetic Integral Equations; MRTD (Multi Resolution Time Domain) Method in Electromagnetics; and Higher Order FDTD Schemes for Waveguide and Antenna Structures.

Numerical Analysis For Electromagnetic Integral Equations

DOWNLOAD

Author : Karl F. Warnick
language : en
Publisher: Artech House
Release Date : 2008

Numerical Analysis For Electromagnetic Integral Equations written by Karl F. Warnick and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

Introduction -- Surface integral equation formulations and the method of moments -- Error analysis of the EFIE / with W.C. Chew -- Error analysis of the MFIE and CFIE / with C.P. Davis -- Geometrical singularities and the flat strip -- Resonant structures -- Error analysis for 3D problems -- Higher-order basis functions / with A.F. Peterson -- Operator spectra and iterative solution methods.

Integral Equation Methods For Electromagnetic And Elastic Waves

DOWNLOAD

Author : Weng Cho Chew
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2009

Integral Equation Methods For Electromagnetic And Elastic Waves written by Weng Cho Chew and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Elastic waves categories.

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

Green S Function Integral Equation Methods In Nano Optics

DOWNLOAD

Author : Thomas M. Søndergaard
language : en
Publisher: CRC Press
Release Date : 2019-01-30

Green S Function Integral Equation Methods In Nano Optics written by Thomas M. Søndergaard and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Technology & Engineering categories.

This book gives a comprehensive introduction to Green’s function integral equation methods (GFIEMs) for scattering problems in the field of nano-optics. First, a brief review is given of the most important theoretical foundations from electromagnetics, optics, and scattering theory, including theory of waveguides, Fresnel reflection, and scattering, extinction, and absorption cross sections. This is followed by a presentation of different types of GFIEMs of increasing complexity for one-, two-, and three-dimensional scattering problems. In GFIEMs, the electromagnetic field at any position is directly related to the field at either the inside or the surface of a scattering object placed in a reference structure. The properties of the reference structure, and radiating or periodic boundary conditions, are automatically taken care of via the choice of Green’s function. This book discusses in detail how to solve the integral equations using either simple or higher-order finite-element-based methods; how to calculate the relevant Green’s function for different reference structures and choices of boundary conditions; and how to calculate near-fields, optical cross sections, and the power emitted by a local source. Solution strategies for large structures are discussed based on either transfer-matrix-approaches or the conjugate gradient algorithm combined with the Fast Fourier Transform. Special attention is given to reducing the computational problem for three-dimensional structures with cylindrical symmetry by using cylindrical harmonic expansions. Each presented method is accompanied by examples from nano-optics, including: resonant metal nano-particles placed in a homogeneous medium or on a surface or waveguide; a microstructured gradient-index-lens; the Purcell effect for an emitter in a photonic crystal; the excitation of surface plasmon polaritons by second-harmonic generation in a polymer fiber placed on a thin metal film; and anti-reflective, broadband absorbing or resonant surface microstructures. Each presented method is also accompanied by guidelines for software implementation and exercises. Features Comprehensive introduction to Green’s function integral equation methods for scattering problems in the field of nano-optics Detailed explanation of how to discretize and solve integral equations using simple and higher-order finite-element approaches Solution strategies for large structures Guidelines for software implementation and exercises Broad selection of examples of scattering problems in nano-optics

Analysis And Implementation Of Isogeometric Boundary Elements For Electromagnetism

DOWNLOAD

Author : Felix Wolf
language : en
Publisher: Springer Nature
Release Date : 2020-11-30

Analysis And Implementation Of Isogeometric Boundary Elements For Electromagnetism written by Felix Wolf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-30 with Technology & Engineering categories.

This book presents a comprehensive mathematical and computational approach for solving electromagnetic problems of practical relevance, such as electromagnetic scattering and the cavity problems. After an in-depth introduction to the mathematical foundations of isogeometric analysis, which discusses how to conduct higher-order simulations efficiently and without the introduction of geometrical errors, the book proves quasi-optimal approximation properties for all trace spaces of the de Rham sequence, and demonstrates inf-sup stability of the isogeometric discretisation of the electric field integral equation (EFIE). Theoretical properties and algorithms are described in detail. The algorithmic approach is, in turn, validated through a series of numerical experiments aimed at solving a set of electromagnetic scattering problems. In the last part of the book, the boundary element method is combined with a novel eigenvalue solver, a so-called contour integral method. An algorithm is presented, together with a set of successful numerical experiments, showing that the eigenvalue solver benefits from the high orders of convergence offered by the boundary element approach. Last, the resulting software, called BEMBEL (Boundary Element Method Based Engineering Library), is reviewed: the user interface is presented, while the underlying design considerations are explained in detail. Given its scope, this book bridges an important gap between numerical analysis and engineering design of electromagnetic devices.

A Combination Of Rao Wilton Glisson And Asymptotic Phase Basis Functions To Solve The Electric And Magnetic Field Integral Equations

DOWNLOAD

Author : John Robert Gulick
language : en
Publisher:
Release Date : 2001

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 has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.

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.

Integral Equations And Iteration Methods In Electromagnetic Scattering

DOWNLOAD

Author : A. B. Samokhin
language : en
Publisher: Walter de Gruyter
Release Date : 2013-03-12

Integral Equations And Iteration Methods In Electromagnetic Scattering written by A. B. Samokhin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Mathematics categories.

Generalized Moment Methods In Electromagnetics

DOWNLOAD

Author : Johnson J. H. Wang
language : en
Publisher: Wiley-Interscience
Release Date : 1991-01-22

Generalized Moment Methods In Electromagnetics written by Johnson J. H. Wang and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-22 with Mathematics categories.

Now available for the first time in print are the new concepts and insights developed over the last three decades in the broad class of computational techniques called the methods of moment. Designed to serve as both a professional reference and graduate-level textbook, it will be useful in calculations for electromagnetic problems related to, among others, antennas, scattering microwaves, radars and imaging. Also included are problems for students, with the solutions available.

Mapped Vector Basis Functions For Electromagnetic Integral Equations

Recent Posts