Integral Equations and Iteration Methods in Electromagnetic Scattering

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Release : 2013-03-12
Genre : Mathematics
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Book Rating : 046/5 ( reviews)

Integral Equations and Iteration Methods in Electromagnetic Scattering - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Equations and Iteration Methods in Electromagnetic Scattering write by A. B. Samokhin. This book was released on 2013-03-12. Integral Equations and Iteration Methods in Electromagnetic Scattering available in PDF, EPUB and Kindle.

Surface Integral Equation Formulations for Solving Electromagnetic Scattering Problems with Iterative Methods

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Release : 2005
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Book Rating : 892/5 ( reviews)

Surface Integral Equation Formulations for Solving Electromagnetic Scattering Problems with Iterative Methods - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Surface Integral Equation Formulations for Solving Electromagnetic Scattering Problems with Iterative Methods write by Pasi Ylä-Oijala. This book was released on 2005. Surface Integral Equation Formulations for Solving Electromagnetic Scattering Problems with Iterative Methods available in PDF, EPUB and Kindle.

Integral Equation Methods for Electromagnetic and Elastic Waves

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Release : 2022-05-31
Genre : Technology & Engineering
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Book Rating : 072/5 ( reviews)

Integral Equation Methods for Electromagnetic and Elastic Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Equation Methods for Electromagnetic and Elastic Waves write by Weng Chew. This book was released on 2022-05-31. Integral Equation Methods for Electromagnetic and Elastic Waves available in PDF, EPUB and Kindle. 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

Low Frequency Iterative Solution of Integral Equations in Electromagnetic Scattering Theory

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Release : 1978
Genre : Electromagnetic waves
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Book Rating : /5 ( reviews)

Low Frequency Iterative Solution of Integral Equations in Electromagnetic Scattering Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Low Frequency Iterative Solution of Integral Equations in Electromagnetic Scattering Theory write by George A. Gray. This book was released on 1978. Low Frequency Iterative Solution of Integral Equations in Electromagnetic Scattering Theory available in PDF, EPUB and Kindle. This report investigates the scattering of electromagnetic waves by a perfectly conducting object. The incident field is assumed to be time harmonic and the scatterer a closed bounded Lyapunov surface with no holes. A boundary integral equation for the total field (incident plus scattered) is derived using an integral representation of the total field analogous to Green's formula. The proof that this boundary integral equation can be solved by iteration rests on showing that the spectral radius of the resulting integral operator is less than one for small perturbations of the corresponding potential operator. (Author).

Integral Equation Methods in Scattering Theory

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Release : 2013-11-15
Genre : Mathematics
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Book Rating : 163/5 ( reviews)

Integral Equation Methods in Scattering Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Equation Methods in Scattering Theory write by David Colton. This book was released on 2013-11-15. Integral Equation Methods in Scattering Theory available in PDF, EPUB and Kindle. 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.