Spectral representation of the Green's functions for microstrip antennas on cylindrical substrates

摘要

It is well-known that the angular Fourier series is poorly convergent in a numerical implementation of the Green's functions, especially for electrically large patches and cylinders. Using the theory of characteristic Green's functions, the author represents the components of the Green's dyad as spectral integrals over a continuum of angular and axial wavenumbers, thereby obviating the need for Fourier series. The angular periodicity that is intrinsic to an electric dipole located on a cylindrical microstrip substrate can be recovered from the spectral integrals by applying completeness relations for the angular-domain characteristic Green's function.