Geometro-topological Approaches to the EM Problems

  • Guennadi A. Kouzaev
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 169)


In this Chapter, several geometro-topological theories of the EM field and boundary value problems are considered. The main attention is paid to the topological approach based on the representation of fields by their skeletons or topological charts of field-force line maps. These charts are associated with the main features of components, and these skeletons and their bifurcations schemes are applicable for the qualitative analysis of the EM effects in microwave elements. Additionally, an approach is proposed allowing simplified semi-analytical or numerical solutions of 2-D and 3-D boundary value problems, which is promising for the development of fast EM models. In the end of this Chapter, the results of other authors on the topological theory of the EM field and its visualization and computing are considered. References -111. Figures -35, Pages -67.


Equilibrium Point Maxwell Equation Differential Form Microstrip Antenna Ridge Waveguide 
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Authors and Affiliations

  1. 1.Department of Electronics and Telecommunications Norwegian University of Science and TechnologyTrondheimNorway

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