The book is devoted to the solution of one general problem of the theory of a three-dimensional quasi-stationary sinusoidal and pulse electromagnetic field. These studies, unlike many well-known works, are based on obtained exact analytical solution of the problem for the field, generated by external current sources near the conducting body with plane surface. The solution for the vector and scalar potentials, electric and magnetic intensities in the dielectric and conducting media is found without restrictions on the configuration of current sources,

properties of the media and field frequency. Some general properties of field formation for arbitrary field in the considered system are obtained (in particular, full compensation by the field of the electric charge distributed on the interface between the media, the normal component of the induced external electric field and, accordingly, the equality to zero the components both of the current density and the electric field intensity perpendicular to the interface; the non-uniform electromagnetic field decreases in depth of conducting medium faster than uniform field). It is shown that the exact analytical solution depends on the values of the parameter proportional to the ratio of the field penetration depth to the distance between the external field sources and the body. The concept of strong skin effect is extended to the case of small value of the introduced parameter. A significant simplification of the

expressions was obtained as an asymptotic expansion on this small parameter. In the case of pulsed fields approximate method gives the highest accuracy during important initial period of pulse time. For asymptotic expansion the approximate impedance boundary condition is generalized to the diffusion of non-uniform field into conducting medium. The book is intended for the researchers, postgraduate students and students specialized in theory and calculations of electromagnetic fields.

Develops a method of expansion in asymptotic series for potentials and vector fields Presents analytical expressions for calculating the potentials and intensities of pulsed electromagnetic fields Provides a solution of a general problem of the theory of a three-dimensional quasi-stationary electromagnetic field

Autorentext

Prof. Yuriy Vasetsky is working as Chief Researcher in Electromagnetic Systems Department, Institute of Electrodynamics, National Academy of Sciences of Ukraine. He graduated from the Electric Power Faculty in Moscow Power Engineering Institute (Technical University) (1973) and post-graduated in Institute of Electrodynamics (1979). He obtained his Ph.D. in 1981 and Dr. Sc. in 1995. The title of full professor in applied physics he obtained in 2007. He is laureate of G.F.Proskura Award of NAS of Ukraine. The main profession activity during from 1979 to the present time is associated with the Institute of Electrodynamics, National Academy of Sciences of Ukraine. In additional he worked as professor in Universities in Ukraine: Kyiv Commercial-Economical University (1999-2003, course of lectures in physics), Physic-technical Institute of the Kyiv National Technical University (2001-2003, course of lectures in electromagnetic theory), Chair of Applied Physics and Chair of Electrical Engineering and Lighting Engineering in National Aviation University (2003-2019, course of lectures in Electrodynamics and High Voltage Technology). Prof. Vasetsky has published 3 monographs, textbook in electrodynamics, over 170 articles in international and national journals and at conferences. His current research interests include the theory of three-dimensional electromagnetic fields, analytical and numerical modeling of electromagnetic systems. The results and methods are used for the development of technological equipment, high current pulsed magnetic systems, high voltage equipment.

Dr. Artur Zaporozhets is working as Leading Researcher in the General Energy Institute of the National Academy of Sciences of Ukraine. He graduated from the Applied Physics Department of the National Aviation University in 2013. He obtained his Ph.D. in 2017 and Dr. Sc. (Eng.) in 2022. The title of Senior Researcher in Metrology and Information Measuring Technology he obtained in 2019. He is a laureate of the Medal "For work and achievement" (2022), Award of the NAS of Ukraine for young scientists (2022), Award of the Verkhovna Rada of Ukraine to young scientists (2021), Award of the President of Ukraine for young scientists (2019) and others. His main professional activity is associated with institutions of the NAS of Ukraine: G.V. Kurdyumov Institute of Metal Physics (2009-2011), Institute of Engineering Thermophysics (2013-2021), General Energy Institute (2022-till now). Since 2013 he took part in 20 research projects funded by NAS of Ukraine and Ukrainian Ministry of Education and Science. In 2014-2016 Dr. A Zaporozhets taught undergraduate courses in Advances in Information Systems, Software Engineering and Programming Technologies, Information and Measuring Systems, Metrology, Biomedical Methods, Laboratory workshops for students of the Applied Physics Department of the National Aviation University. Dr. A. Zaporozhets has published more 200 scientific works, among them 14 books in Springer, over 50 articles in international peer-reviewed journals and 60 conference proceedings. His current research interests include Energy Informatics, Power Equipment Diagnostics, Environmental Monitoring, Algorithms and Data Structures, Big Data, Data Processing.

Inhalt

1.Electromagnetic Field of Arbitrary Spatial Current Contour Located near Conducting Body with Flat Surface .- 2.Approximate Mathematical Models for the Analysis of Alternating Electromagnetic Field of Sources near Conducting Body .- 3.Penetration of Non-Uniform Sinusoidal Electromagnetic Field into Conducting Half-Space .- 4.Three-Dimensional Pulsed Electromagnetic Field of Current Flowing Near Conducting Half-Space.