Maxwell Equation: Inverse Scattering In Electromagnetism (Electromagnetism Optics) - Image 1

£84.63

World Scientific Publishing Company Maxwell Equation: Inverse Scattering In Electromagnetism (Electromagnetism Optics)

Name: Maxwell Equation: Inverse Scattering In Electromagnetism (Electromagnetism Optics)
Brand: World Scientific Publishing Company
Price: 84.63 GBP
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Electromagnetic Theory

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Description

Review This handbook provides a self-contained resource, very helpful guidance and excellent teaching supplement in the field of inverse scattering in electromagnetism for use by professional researchers and graduate students. It will take pride of place among lots of excellent books concerning the mathematical theory of the Maxwell equation and scattering theory… It is written in an accessible language. The first three chapters can be used as a textbook for undergraduate students. The next two chapters are a good introduction for graduate students. --zbMATH"In this book, the author certainly succeeded in presenting a useful collection of basics in electromagnetic scattering theory. Graduate students as well as researchers, who like to understand the challenging uniqueness results in inverse scattering theory based on complex geometric optics solutions, will find the necessary material developed in the text or cited by valuable references. Additionally, the book may also serve as a useful source for courses or seminars on the mathematics of electromagnetic waves. The book introduces many mathematical aspects of electromagnetic waves and leads to a deep understanding of uniqueness questions in inverse scattering theory." --Jahresbericht der Deutschen Mathematiker-Vereinigung Product Description How can one determine the physical properties of the medium or the geometrical properties of the domain by observing electromagnetic waves? To answer this fundamental problem in mathematics and physics, this book leads the reader to the frontier of inverse scattering theory for electromagnetism.The first three chapters, written comprehensively, can be used as a textbook for undergraduate students. Beginning with elementary vector calculus, this book provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory. It also explains the cohomology theory in an easy and straightforward way, which is an essential part of electromagnetism related to geometry. It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner. Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation.The chapters for the potential theory and elementary cohomology theory are good introduction to graduate students. The results in the last chapter on the inverse scattering for the medium and the determination of Betti numbers are new, and will give a current scope for the inverse spectral problem on non-compact manifolds. It will be useful for young researchers who are interested in this field and trying to find new problems.

Product Specifications

Brand: World Scientific Publishing Company
Format: hardcover
ASIN: 9813232692
Category: Books > Subjects > Science, Nature & Maths > Engineering & Technology > Electrical > Electromagnetic Theory
Domain: Amazon UK
Release Date: 14 September 2018
Listed Since: 09 October 2017

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World Scientific Publishing Company Maxwell Equation: Inverse Scattering In Electromagnetism (Electromagnetism Optics)

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