Solving problems of electrodynamics on the basis singular integral presentations of the electromagnetic field: antennas theory, the diffraction of electromagnetic waves, metastructures

Abstract

The problems concerning the use of the singular integral representations of the electromagnetic field for the construction of self-sufficient mathematical models and re-radiating structures. The foundations of a correct analysis of the electrodynamic antenna elements and chiral metamaterials. The mechanism accounting interelemental interaction, which is realized through the process of generalized Gauss-Seidel method. The results of the numerical solution of internal and external problems for some antenna models reemitting elements and metastructures.

Keywords

• singular representation of the electromagnetic field
• method of vector potential
• quasi-one- dimensional structure
• thin wire approach
• radio frequency identification
• physical regularization
• the fractal antenna s
• surface of revolution
• chirality
• metamaterial
• gauss-seidel method