The Method of Moments in Electromagnetics

The Method of Moments in Electromagnetics, Third Edition, is a comprehensive guide to solving electromagnetic integral equations using the Method of Moments (MoM). It includes new chapters on advanced compressive techniques,such as the Adaptive Cross Approximation (ACA) and Multi-Level Adaptive Cross Approximation (MLACA),and updates existing material on the Fast Multipole Method (FMM) and Multi-Level Fast Multipole Algorithm (MLFMA). The book is intended for students,researchers,and industry experts in computational electromagnetics (CEM) and provides practical implementation details.

Format: Paperback / softback
Length: 480 pages
Publication date: 29 January 2024
Publisher: Taylor & Francis Ltd

The Method of Moments in Electromagnetics, Third Edition, delves into the numerical solution of electromagnetic integral equations through the renowned Method of Moments (MoM). This comprehensive text has been revised to encompass a wide range of topics, including the solution of radiation and scattering problems involving conducting, dielectric, and composite objects. In addition to its core focus, this new edition introduces substantial material on cutting-edge compressive techniques. It includes dedicated chapters on the Adaptive Cross Approximation (ACA) and Multi-Level Adaptive Cross Approximation (MLACA), advanced algorithms that enable direct solution of the MoM linear system through LU decomposition in compressed form. Extensive attention is given to parallel software implementation of these methods on traditional central processing units (CPUs) and new, high-performance graphics processing units (GPUs). Furthermore, the existing chapters on the Fast Multipole Method (FMM) and Multi-Level Fast Multipole Algorithm (MLFMA) are updated, incorporating elements of the ACA algorithm to significantly reduce their memory demands.

The Method of Moments in Electromagnetics serves as a valuable resource for students, researchers, and industry professionals engaged in computational electromagnetics (CEM) and the MoM. It offers a comprehensive foundation, while providing practical implementation details to assist in solving complex electromagnetic problems. By presenting a balanced blend of theory and software implementation, this book caters to a diverse audience, including those with backgrounds in mathematics, physics, and computer science.

The text begins by deriving a generalized set of surface integral equations that are employed to address electromagnetic radiation and scattering problems for objects composed of conducting and dielectric regions. Subsequent chapters delve into the application of these integral equations to progressively more intricate problems, such as thin wires, bodies of revolution, and two- and three-dimensional bodies. Throughout the book, attention is paid to the development of efficient numerical algorithms and their implementation on modern computing platforms.

One of the key features of this edition is its emphasis on compressive techniques. The ACA and MLACA algorithms, in particular, offer significant advantages in terms of computational efficiency and memory requirements. By leveraging LU decomposition in compressed form, these algorithms enable the direct solution of the MoM linear system, resulting in faster computation times and reduced memory usage. This is particularly valuable for solving large-scale electromagnetic problems that require extensive computational resources.

Parallel software implementation is another notable aspect of this book. The authors discuss the benefits of distributing the computational workload across multiple processors, leveraging the power of parallel computing to accelerate the solution process. They provide detailed instructions on how to implement these algorithms on traditional CPUs and GPUs, highlighting the advantages and challenges associated with each approach. This knowledge is essential for researchers and practitioners who aim to optimize the performance of their electromagnetic simulations.

In addition to the theoretical and computational aspects, The Method of Moments in Electromagnetics also includes a comprehensive discussion of background material. The book provides a thorough introduction to the principles of electromagnetics, including Maxwell's equations, boundary conditions, and Green's functions. It also covers various numerical methods, such as finite difference and finite element methods, and their application to electromagnetic problems. This background information is essential for readers who wish to gain a deeper understanding of the underlying principles and methodologies employed in the field.

Furthermore, the book emphasizes practical considerations and real-world applications. It discusses the importance of choosing appropriate numerical methods and parameters for specific electromagnetic problems, as well as the significance of accurate modeling and validation of results. Case studies and examples are provided throughout the text to illustrate the practical implications of the discussed concepts and algorithms. These examples help readers connect the theoretical knowledge to real-world scenarios and gain a deeper appreciation of the challenges and opportunities in the field of computational electromagnetics.

In conclusion, The Method of Moments in Electromagnetics, Third Edition, is a comprehensive and authoritative text that provides a thorough understanding of the numerical solution of electromagnetic integral equations through the MoM. With its emphasis on compressive techniques, parallel software implementation, and background material, this book serves as a valuable resource for students, researchers, and industry professionals working in the area of computational electromagnetics. By presenting a balanced blend of theory and practice, it equips readers with the skills and knowledge necessary to solve complex electromagnetic problems and contribute to the advancement of this field.

Weight: 726g
Dimension: 228 x 151 x 28 (mm)
ISBN-13: 9781032042329
Edition number: 3 ed