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Approximation of Components of the Field and the Current Inside a Flat Closed Contour on Their Known Values on the Contour with the Help of the Cauchy Integral

Keywords:

A. V. Ashikhmin, Yu. G. Pasternak, Yu. A. Rembovskiy


The purpose of the present work is the illustration of an opportunity of the description a component of an electromagnetic field and a current in various electrodynamic objects which surface supposes piecewise-plane approximation, with the help of the Cauchy integral. On the example of consideration of the elementary electrodynamic objects, such as a dielectric and metal cube, it is shown that the similar description of a field allows restoring values of a field (current) in internal areas of sides of object (or plane intersecting the object) in a wide band frequencies. It is offered to use a method of the Cauchy integral for decreasing dimension of systems of linear algebraic equations to which the vector boundary equations of electrodynamics, formulated in spatial-frequency area are reduced.
References:
June 24, 2020
May 29, 2020

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