This book gives guidance to solve problems in electromagnetics, providing both examples of solving serious research problems as well as the original results to encourage further investigations. The book contains seven chapters on various aspects of resonant wave scattering, each solving one original problem. All of them are unified by the authors' desire to show advantages of rigorous approaches at all stages, from the formulation of a problem and the selection of a method to the interpretation of results.

The book reveals a range of problems associated with wave propagation and scattering in natural and artificial environments or with the design of antennas elements. The authors invoke both theoretical (analytical and numerical) and experimental techniques for handling the problems. Attention is given to mathematical simulations, computational efficiency, and physical interpretation of the experimental results. The book is written for students, graduate students and young researchers.

Autorentext

Yuriy Sirenko

Since 1974, he has held several research and academic positions at A.Ya. Usikov Institute of Radiophysics and Electronics of National Academy of Sciences of Ukraine (IRE NASU), Kharkiv, Ukraine, where he has been a head of the Mathematical Physics Department since 1988. He is also an invited professor at L.N.Gumilyov Eurasian National University, Astana, Kazakhstan since 2013. He also was a professor at V.N.Karazin Kharkiv National University, Kharkiv, Ukraine (1989-1997). He is an author of 8 books and more than 200 research papers.

The Candidate of Science Degree (Ph.D. degree equivalent) in physics and mathematics he got from the Kharkiv National University in 1978.

The Doctor of Science Degree in physics and mathematics he got from the Kharkiv National University in 1988.

He is recognized as an expert in the fields of radio physics and mathematical physics. He has also experience in teaching fundamental andapplied mathematics and modern methods in computational electrodynamics.

Research interests

Wave scattering theory, analytical and numerical techniques for wave motion simulation, resonance phenomena, spectral theory of open structures, operator theory and its applications.

Semi-analytical methods for solving diffraction problems of the resonant theory of gratings and the spectral theory for open periodic and waveguide resonators have been developed. Efficient semi-analytical and numerical methods for the analysis of transient processes under resonance conditions in gratings and waveguides have been elaborated.

Grants, awards

1998 - 1999 Research and Teaching Personal Grant of the International Science Foundation

1996 - 1999 Research Grant of Royal Academy of Science, Sweden.

1993 Research Personal Grant of the International Science Foundation.

1989 State Prize in the Field of Science and Engineering, Ukraine.

Lyudmyla Velychko has more than 30 years of research experience in the areas of radio physics and applied mathematics. Since 1982, she has been with A.Ya.Usikov Institute of Radiophysics and Electronics of the National Academy of Sciences of Ukraine, Kharkiv, Ukraine. Since 2000, she has been a Senior Researcher at the Mathematical Physics Department there.

The Candidate of Science Degree (Ph.D. degree equivalent) in physics and mathematics she got from A.Ya.Usikov Institute of Radiophysics and Electronics of the National Academy of Sciences of Ukraine in 1996 with the thesis title 'Inverse diffraction problems for plane periodic gratings'.

She is an author of more than 50 research journal and conference papers and a book chapter.

Research interests

Electromagnetic theory of gratings; simulation and analysis of resonant wave scattering in the time domain.

Development of methods for solving inverse problems in electrodynamic theory of gratings. Elaboration of algorithms for analysis and model synthesis of plane pattern-forming and efficiently absorbing structures. Simulation and analysis of resonant phenomena in open structures of complex geometry by time domain and frequency domain methods combined.

Inhalt

Preface.- New Analytical Solutions of Selected Electromagnetic Problems.- Dyadic Green's Function of a Biaxial Anisotropic Medium.- Operator Fresnel Formulas in the Scattering Theory of Guided Modes.- Two-Dimensionally Periodic Gratings: Pulsed and Steady-State Waves in Nonregular Rectangular Floquet Channel.- The Exact Absorbing Conditions Method in the Analysis of Open Electrodynamic Structures.- High-Power Short Pulse Compression: Analysis and Modeling.- Diffraction Radiation Phenomena: Physical Analysis and Applications.