The Generalized Multipole Technique for Computational Electromagnetics PDF Download

Author: Christian HAFNER
Publisher:
ISBN: 9780608024981
Category :
Languages : en
Pages : 311

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Author: Christian Hafner
Publisher: Artech House Publishers
ISBN:
Category : Science
Languages : en
Pages : 328

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Book Description
Beginning with a detailed comparison of traditional methods of EM field analysis, this text leads up to a step-by-step explication of the Generalized Multiple Technique (GMT).

Author: T. Wriedt
Publisher: Elsevier
ISBN: 0080532373
Category : Technology & Engineering
Languages : en
Pages : 273

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Book Description
This book is an edited volume of nine papers covering the different variants of the generalized multipole techniques (GMT). The papers were presented at the recent 3rd Workshop on Electromagnetics and Light Scattering - Theory and Applications, which focused on current GMT methods. These include the multiple multipole method (MMP), the discrete sources method (DSM), Yasuura's method, method of auxiliary sources and null-field method with discrete sources. Each paper presents a full theoretical description as well as some applications of the method in electrical engineering and optics. It also includes both 2D and 3D methods and other applications developed in the former Soviet Union and Japan.

Author: Christian V. Hafner
Publisher:
ISBN:
Category :
Languages : en
Pages : 122

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A hybrid technique combining the Complex Multipole Beam Approach (CMBA) with the Method of Moments (MoM) for the solution of the problems of electromagnetic scattering is presented in this paper. In this technique the CMBA provides for a substantial reduction in the matrix size by taking advantage of the essentially band-limited spatial spectrum of the scattered field in the vicinity of smooth surfaces, while the MoM is employed for the modeling of non-smooth or inhomogeneous regions within the problem geometry. The key step in the CMBA is to represent the scattered field in terms of a series of beams produced by multipole sources located in a complex space. The CMBA not only reduces the number of unknowns, but also generates a generalized impedance matrix with a banded structure and a low condition number. In the present hybrid technique, the scattering properties of each complex region, requiring a relatively large number of unknowns per unit volume, are described in terms of a Beam-matrix, which is constructed numerically to relate the amplitudes of outgoing beams to those of incoming ones. The proposed direct solution scheme takes into account the interactions between all of the complex regions and the smooth portions of the scatterer geometry using an algorithm similar to the recursive T-matrix approach. This hybrid technique, that combines the CMBA with other conventional methods, is a versatile tool, and is expected to enhance the scope of application of the CMBA to a much wider class of problems.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 119

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Author: Thomas Wriedt
Publisher: Springer
ISBN: 3319748904
Category : Science
Languages : en
Pages : 258

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Book Description
This book presents the Generalized Multipole Technique as a fast and powerful theoretical and computation tool to simulate light scattering by nonspherical particles. It also demonstrates the considerable potential of the method. In recent years, the concept has been applied in new fields, such as simulation of electron energy loss spectroscopy and has been used to extend other methods, like the null-field method, making it more widely applicable. The authors discuss particular implementations of the GMT methods, such as the Discrete Sources Method (DSM), Multiple Multipole Program (MMP), the Method of Auxiliary Sources (MAS), the Filamentary Current Method (FCM), the Method of Fictitious Sources (MFS) and the Null-Field Method with Discrete Sources (NFM-DS). The Generalized Multipole Technique is a surface-based method to find the solution of a boundary-value problem for a given differential equation by expanding the fields in terms of fundamental or other singular solutions of this equation. The amplitudes of these fundamental solutions are determined from the boundary condition at the particle surface. Electromagnetic and light scattering by particles or systems of particles has been the subject of intense research in various scientific and engineering fields, including astronomy, optics, meteorology, remote sensing, optical particle sizing and electromagnetics, which has led to the development of a large number of modelling methods based on the Generalized Multipole Technique for quantitative evaluation of electromagnetic scattering by particles of various shapes and compositions. The book describes these methods in detail.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 7

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Book Description
The Generalized Multipole Technique, due to its flexibility, is used in a variety of cases for the analysis of electromagnetic structures. This method is generally based on a multiple multipole expansion and a point matching technique. The numerical conditioning of the matrices involved in this analysis is strongly dependent on the matching point and the multipole distribution. In this contribution, we use the well-known Singular Value Decomposition to investigate systematically the numerical conditioning of these matrices. We suggest a method to improve the conditioning of the procedure in case of an ill-conditioned system and we validate it by evaluating the error in field matching and the far field radiation pattern in case of a radiating elliptical aperture.

Author: Matthew N.O. Sadiku
Publisher: CRC Press
ISBN: 1351365096
Category : Technology & Engineering
Languages : en
Pages : 687

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Book Description
This fourth edition of the text reflects the continuing increase in awareness and use of computational electromagnetics and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite-difference time-domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. It teaches the readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism. Includes new homework problems in each chapter. Each chapter is updated with the current trends in CEM. Adds a new appendix on CEM codes, which covers commercial and free codes. Provides updated MATLAB code.

Author: Walton C. Gibson
Publisher: CRC Press
ISBN: 1000412482
Category : Mathematics
Languages : en
Pages : 510

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Book Description
The Method of Moments in Electromagnetics, Third Edition details the numerical solution of electromagnetic integral equations via the Method of Moments (MoM). Previous editions focused on the solution of radiation and scattering problems involving conducting, dielectric, and composite objects. This new edition adds a significant amount of material on new, state-of-the art compressive techniques. Included are new chapters on the Adaptive Cross Approximation (ACA) and Multi-Level Adaptive Cross Approximation (MLACA), advanced algorithms that permit a direct solution of the MoM linear system via LU decomposition in compressed form. Significant attention is paid to parallel software implementation of these methods on traditional central processing units (CPUs) as well as new, high performance graphics processing units (GPUs). Existing material on the Fast Multipole Method (FMM) and Multi-Level Fast Multipole Algorithm (MLFMA) is also updated, blending in elements of the ACA algorithm to further reduce their memory demands. The Method of Moments in Electromagnetics is intended for students, researchers, and industry experts working in the area of computational electromagnetics (CEM) and the MoM. Providing a bridge between theory and software implementation, the book incorporates significant background material, while presenting practical, nuts-and-bolts implementation details. It first derives a generalized set of surface integral equations used to treat electromagnetic radiation and scattering problems, for objects comprising conducting and dielectric regions. Subsequent chapters apply these integral equations for progressively more difficult problems such as thin wires, bodies of revolution, and two- and three-dimensional bodies. Radiation and scattering problems of many different types are considered, with numerical results compared against analytical theory as well as measurements.

Author: Stefan Berghofer
Publisher: Springer
ISBN: 3642033598
Category : Computers
Languages : en
Pages : 517

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Book Description
This book constitutes the refereed proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics, TPHOLs 200, held in Munich, Germany, in August 2009. The 26 revised full papers presented together with 1 proof pearl, 4 tool presentations, and 3 invited papers were carefully reviewed and selected from 55 submissions. The papers cover all aspects of theorem proving in higher order logics as well as related topics in theorem proving and verification such as formal semantics of specification, modeling, and programming languages, specification and verification of hardware and software, formalization of mathematical theories, advances in theorem prover technology, as well as industrial application of theorem provers.