Plenary Lecture

Topological Electromagnetics
and its Applications  

 

Professor Guennadi A. Kouzaev
Norwegian University of Science and Technology
NORWAY

E-mail: Guennadi.kouzaev@iet.ntnu.no
 

Abstract: Topological electromagnetics is the theory which studies the global spatiotemporal features of the electromagnetic field. It is dealing with the topological analysis of the electromagnetic field and with the qualitative solutions of boundary electromagnetic problems.

In this lecture, the basics of topological electromagnetism are introduced. The definition of the electromagnetic field topological schemes which are composed of the equilibrium points and separatrices of the field-force line portraits is given, and the Maxwell-like equations are introduced for topologies of the electric and magnetic fields.

The treatment of the boundary problems of the electromagnetism is considered. It consists of analytical or semi-analytical composition of the topological field schemes according to the field boundary graphs. The developed field computing approach is fast and, and it is for the effective initial solutions of boundary electromagnetic problems.

This theory is applied to the electromagnetic signaling and computing. The carrier of digital information is the spatio-time topology of electromagnetic impulses, and the digital processing of them can be realized even by passive circuits. This approach is applied to the modeling of the Boolean, predicate, reconfigurable, and pseudo-quantum logics. The brain pattern activity is proposed to be modeled by these signals, and a quasi-neural gate of the OR/AND type is modeled. The gates of one of the types are integrated into a topological processor for predicates, and its design and work are considered shortly in this lecture.



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 Electronics, 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 for topological electromagnetism, topologically modulated signals and computing, microwave and high-speed three-dimensional and planar integrated circuits, physics of cold matter, and micro -and millimeter-wave biomonitoring.

Prof. G. Kouzaev was awarded with the Russian Government Prize (1997) and the Soviet Union Prize for Young Scientists (1990) for his achievements in three-dimensional integration and space-time signal processing hardware for airspace applications.

He is a Member of the IEEE, WSEAS, IMAPS, and Trans Black Sea Region Science Union for Applied Electromagnetics. Dr. G.A. Kouzaev is a Chair of several WSEAS conferences and a track-chair of the IEEE supported conferences. He was a Co-chair of a SPIE symposium on terahertz electronics and a Program Committee Member of several international meetings on applied electromagnetics, wave physics and computer engineering.