Abstract
Radiation characteristics of an axially slotted elliptic antenna coated by conventional dielectric or metamaterial material and embedded partly in infinite ground plane are investigated analytically for TM case. The field in each region is written in terms of appropriate radial and angular Mathieu functions with expansion field coefficients. The boundary conditions at the conducting, dielectric coating and ground plane surfaces are enforced exactly to obtain the unknown field expansion coefficients. Results are obtained and plotted for the radiation pattern to show the effect of the presence of the infinite ground plane and parameters of the material dielectric coating.
Highlights
Studies on finding the radiation characteristics analytically by dielectric coated slotted cylindrical antennas are reported by many authors using separation of variables method where the boundary conditions are satisfied exactly at various surfaces [1,2,3,4,5,6]
To the best of our knowledge, the radiation characteristics from axially slotted elliptic antenna coated by dielectric material and embedded partly in infinite ground plane has not been investigated analytically in the literature as the presence of the infinite ground plane adds two boundary conditions to the solution compared to the one without ground plane
The analysis presented in this paper, enables one to obtain exact solutions to radiation problems involving objects composed of other of types of materials [19,20,21,22,23]
Summary
Studies on finding the radiation characteristics analytically by dielectric coated slotted cylindrical antennas are reported by many authors using separation of variables method where the boundary conditions are satisfied exactly at various surfaces [1,2,3,4,5,6]. An exact series solution is presented in this paper to the radiation problem of dielectric coated slotted elliptic antenna embedded partially in ground plane for TM case. The exact solution presented in this paper is useful to the electromagnetics community for the following reasons It can be applied as a benchmark for validating solutions for similar problems derived using numerical or approximate procedures. Section three presents the far fields and antenna gain as well as the numerical results showing the effect of ground plane on the radiation pattern, gain and conductance of the slotted elliptic antenna while section four contains the conclusions
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