Fast coupled-integral-equations-based analysis of azimuthally corrugated cavities

An approach is developed for fast analysis of a wide class of azimuthally corrugated coaxial and circular structures employed in various microwave devices. In line with it, the eigenvalues of a geometrical parameter (GP) are calculated instead of the eigenfrequencies resulting in substantial acceleration of the analysis and improvement of the design efficiency. To formulate the eigenvalue problem, the accelerated coupled-integral-equations technique and the Galerkin method with weighted Gegenbauer polynomials as basis functions are applied.