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Prof. Reinhold Pregla University of Hagen, Germany “This rigorous and, at the same time, easy-to-understand explanation of non-stationary electromagnetic phenomena will be of great interest to researchers from the physical science community.” Prof. Elena Romanova Saratov State University, Russia “This magnificent work guides readers through the mysterious world of non-stationary electromagnetics. Its very first sentence catches them and sets free their imagination to expect and see the newly discovered sides of our nature.” Dr. Mariana Nikolova Georgieva-Grosse Polikraishte, Bulgaria Prof. Georgi Nikolov Georgiev St. Cyril and St. Methodius University of Veliko Tarnovo, Bulgaria This book is devoted to investigations of non-stationary electromagnetic processes. It offers a good opportunity to introduce the Volterra integral equation method more widely to the electromagnetic community. The explicit mathematical theory is combined with examples of its application in electromagnetic devices, optoelectronics, and photonics, where time-domain methods become a powerful tool for modelling. Many of the electromagnetic phenomena that are studied in the book may lead to numerous new ideas for experimentalists and engineers developing new classes of photonic devices. Alexander Nerukh is head of the Department of Higher Mathematics, Kharkov National University of Radioelectronics, Ukraine. He has published 3 books and over 250 scientific papers. Prof. Nerukh’s scientific interests lie in nonstationary and nonlinear electrodynamics, and he has collaborated with the University of Nottingham and Aston University in these fields. Nataliya Sakhnenko is associate professor at the Department of Higher Mathematics, Kharkov National University of Radioelectronics. She has held joint research with the University of Nottingham and the University of Jena. Her current research interests are in time-domain problems of photonics, plasmonics, and metamaterials. Phillip Sewell is professor of electromagnetics in the Faculty of Engineering, University of Nottingham. His research interests involve analytical and numerical modelling of electromagnetic problems, with application to optoelectronics, electromagnetic compatibility, and electrical machines. He has published approximately 500 papers. V250 ISBN-13 978-981-4316-44-6 Nerukh | Sakhnenko Benson | Sewell Trevor Benson is director of the George Green Institute for Electromagnetics Research, University of Nottingham. His research interests include experimental and numerical studies of electromagnetic fields and waves, lasers and amplifiers, nanoscale photonic circuits, and electromagnetic compatibility. He is author or co-author of more than 600 journal and conference papers. NON-STAT IONA RY ELECTROM AGNETICS “This is the first comprehensive book on this topic. Scientists working on the electromagnetic field theory in general, too, will find a lot of interesting material here.” NON-STAT IONA RY ELECTROM AGNETICS Alexander Nerukh Nataliya Sakhnenko Trevor Benson Phillip Sewell This page intentionally left blank CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2012 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Version Date: 20120829 International Standard Book Number-13: 978-9-81436-424-9 (eBook - PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holde