Plenary Lecture

Topological Theory of Electromagnetic Boundary Problems

Professor Guennadi A. Kouzaev
Norwegian University of Science and Technology
Norway
E-mail: guennadi.kouzaev@iet.ntnu.no
 

Abstract: Spatio-temporal shapes of the electromagnetic field are defined by the boundary and initial conditions, and the most of them are derived by numerical methods due to the complexity of the solutions.
In this lecture, the treatment of the boundary problems of the electromagnetism by topological methods is considered. The field is described by topological schemes. They are composed of the equilibrium points and separatrices of the field-force lines and derived qualitatively on the given boundary conditions using semi-analytical techniques. The developed approach is fast and for effective initial solutions of boundary electromagnetic problems.
Additionally, the developed approach has been applied for the electromagnetic signal area. The digital information is carried by topologically different schemes of space-time field impulses composed of 3-D vector manifolds, and the signals have increased noise immunity. The prospective digital circuitry distinguishes the topologically modulated 4-D field shapes and compares them according to the Boolean and predicate logic. The developed approach is for advanced signaling and computing.

Brief Biography of the Speaker:
The speaker is a Professor at the Norwegian University of Science and Technology- NTNU, Trondheim, Norway. He received the Dr. Sciences (Habil.) degree from the Moscow State Institute of Electronics and Mathematics (Techn. University) in computer engineering and microwave techniques, in 1998. He was with the Russia Research Institute of Space Instrument Design, Moscow State Institute of Electronics and Mathematics, Gennum Corp. and McMaster University (Canada).
He has published more than 100 publications and 14 inventions in electromagnetism, three-dimensional microwave and high-speed integrated circuits, topological electromagnetics and signals, mm-wave biomonitoring, and physics of cold matter. Dr. G.A. Kouzaev was awarded with the Russian Government Prize (1997) and Soviet Union Prize for Young Scientists (1990) for his achievements in the 3D integration and space-time signal processing.
He is a member of the IEEE, WSEAS, IMAPS and Trans Black Sea Region Science Union of Applied Electromagnetism (Greece). Dr. G.A. Kouzaev is a chair of the WSEAS’08 conferences in Trondheim. He serves on the Editorial Board of the Journal of Wave Physics and Radio Engineering Systems. He was a Program Committee member of several WSEAS conferences, the international conferences on the Applied Wave Physics and a Co-Chair of a SPIE Symposium.