Determination of Power of Groove fields under Dirichlet conditions associated with axisymmetric Electromagnetic fields

TL;DR

This paper analyzes the power of groove fields in axisymmetric electromagnetic scenarios with Dirichlet boundary conditions, using Fourier-Bessel series to model wave interactions with triangular obstacles for designing electromagnetic structures.

Contribution

It introduces a method to determine groove field powers under Dirichlet conditions for axisymmetric EM fields, aiding the design of triangular corrugated structures.

Findings

Groove fields depend on physical parameters like conductivity, permittivity, permeability.

The model distinguishes between antenna acting as sensor or transmitter based on wavelength restrictions.

Maxwell's equations are solved using Fourier-Bessel series with Dirichlet boundary conditions.

Abstract

The present paper gives an interaction of electromagnetic waves with a smooth convex tri-angular obstacle and its adjacent wedge regions. We attempt to find the power of groove fields under Dirichlet conditions associated with axisymmetric electromagnetic field. A field intensity may be expressed in terms of a damped wave with a space attenuation depending on the physical parameters like conductivity, permittivity and permeability associated with an obstacle placed across the lines of force due to a given EM field. Groove field and their associated powers based on Dirichlet conditions on the groove surfaces have been determined. Knowledge of groove field is essential for precise designing of triangular corrugated structures for studying the blazing effect of propagating EM wave. We find that an echellete model or an antenna may act as a Sensor for receiving wide range of frequencies subject to the restriction lambda>2pi/xi_i whereas the said antenna would act as a Transmitter for radiating wide range of frequencies subject to the restriction lambda<2pi/xi_i. The governing Maxwell's equation is solved subject to the Dirichlet condition of the field intensity on the boundaries of the said groove regions. Theory of Fourier-Bessel series has been applied for the present purpose.