Derivation of Green's function representations for the analysis of sectoral waveguides embedded in cylindrically stratified media

Abstract

The design and analysis of dielectric-covered slotted waveguide arrays are of great interest in many military and civil applications, because of their low-profile, high efficiency and high power handling capabilities. Regarding the efficient and accurate analysis of such antennas, integral equation (IE) based methods that utilize the method of moments (MoM) or a hybrid combination of MoM with an appropriate Green's function (referred to as MoM/Green's function technique) are widely used. For the hybrid MoM/Green's function technique, appropriate dyadic Green's function representations for the waveguide interior and the exterior stratified media are required. However, in the case of a cylindrically conformal dielectric-covered slotted waveguide array, which may be desired due to aerodynamic and/or radar cross section (RCS) concerns, the abovementioned IE-based analysis that utilize a hybrid MoM/Green's function technique becomes a greater challenge due to the difficulties in the evaluation of the entries of MoM impedance/admittance matrices, especially for the terms related to cylindrically stratified media. © 2013 IEEE.