Self-adaptive multi-point sweep for the broadband finite-element analysis of waveguide modes

This paper presents a self-adaptive frequency sweep technique for the modal analysis of inhomogeneous electromagnetic waveguides over wide frequency bands. It rests on a multi-point order-reduction approach for the finite-element method and employs an adaptive scheme based on successive bisection to control the error in the propagation constants of the considered modes. The suggested approach is highly accurate and significantly faster than full finite-element computations. Numerical examples are presented to validate the new method.