Surface Ray Methods for Mutual Coupling in Conformal Arrays on Cylindrical and Conical Surfaces.

摘要

This report describes a stage of development of Surface Ray Methods for mutual coupling in conformal arrays of aperture elements on conducting cylindrical surfaces with a subsequent generalization to conical surfaces. Asymptotic techniques are used to develop expressions for the dyadic Green's function for a circumferential and axial magnetic current sources. These expressions are to lowest order in 1/ka and two orders in 1/kD,where ka is the cylinder circumference in free space wavelengths and kD is the length in radians of the geodesic distance from the source to the observation point on the cylinder surface. The region of validity of these expressions does not include the paraxial region. Rigorous transition functions for this region have not yet been derived,but instead,in this report,approximate transition functions have been developed. These transition functions are employed to obtain numerical results for the mutual admittance or the coupling coefficients between 'single mode'circumferential and axial slots on cylinders with ka approx 10or 20. The numerical results are compared with those obtained via harmonic series and via GTD formulation. (Author)