MAR analysis of a spherical-circular printed antenna with finite ground excited by an axially symmetric probe

The paper deals with an accurate mathematical and numerical analysis of a spherical-circular antenna printed over a coaxial spherical-circular ground conductor. A coaxial probe simulated by a radial driving current placed between two conductors excites the antenna. Consideration is done in terms of the spherical vector wave function expansions of the field in each partial domain. The problem is cast into a coupled set of the dual-series equations for the expansion coefficients, and then to an infinite-matrix equation having favorable features. This is achieved by following the Method of Analytical Regularization developed earlier for the analysis of spherical reflectors.

[1]  D. Dudley Error Minimization and Covergence in Numerical Methods , 1985 .

[2]  I. M. Glazman,et al.  Theory of linear operators in Hilbert space , 1961 .

[3]  Richard J. Langley,et al.  Patch antenna equivalent to simple monopole , 1997 .

[4]  Horng-Dean Chen,et al.  Full-wave analysis of the annular-ring loaded spherical-circular microstrip antenna , 1997 .

[5]  Ahmed A. Kishk,et al.  Analysis of spherical circular microstrip antennas , 1991 .

[6]  R. Kress,et al.  Integral equation methods in scattering theory , 1983 .

[7]  Alexander I. Nosich,et al.  The method of analytical regularization in wave-scattering and eigenvalue problems: foundations and review of solutions , 1999 .

[8]  A. G. Pino,et al.  An omnidirectional dual‐shaped reflector antenna , 2000 .

[9]  Guy E. Pisane,et al.  Scattering from an open spherical shell having a circular aperture and enclosing a concentric dielectric sphere , 1987 .

[10]  J. Swinburne Electromagnetic Theory , 1894, Nature.

[11]  S. Vinogradov Reflectivity of spherical shield , 1983 .

[12]  Kin-Lu Wong,et al.  Resonance and radiation of a superstrate-loaded spherical-circular microstrip patch antenna , 1993 .

[13]  Y. Cheng,et al.  Full‐wave analysis of a disk‐loaded spherical annular‐ring microstrip antenna , 1996 .

[14]  S. K. Barton,et al.  A circular patch antenna for radio LAN's , 1997 .

[15]  A. Nosich,et al.  A conformal spherical–circular microstrip antenna: Axisymmetric excitation by an electric dipole , 2000 .

[16]  John B. Schneider,et al.  Inaccuracies in numerical calculation of scattering near natural frequencies of penetrable objects , 1993 .

[17]  Constantine A. Balanis,et al.  Antenna Theory: Analysis and Design , 1982 .