Rapid Simulation of Linear PBG Microstrip Structures Using the Rayleigh Multipole Method

An efficient technique is developed for the simulation of scattering parameters and band structure of linear microstrip structures possessing periodically modulated substrate permittivity. By assuming perfect magnetic conductor boundaries on the microstrip edges, analysis may be performed in two dimensions where the problem is readily modeled as a stack of diffraction gratings. This formulation permits the application of fast diffraction grating algorithms such as the Rayleigh multipole method. The advantageous speed of this approach over conventional simulation methods has been exploited to obtain device parameters that maximize the bandwidth of the stopband. The design was constructed to confirm the simulated performance.