Active manipulation of EM fields in open waveguides

Abstract

The central question addressed in this paper is whether we can introduce an antenna array into a circular cylindrical waveguide to accurately control or determine the local field around the array with vanishingly small reflection from the boundary of the waveguide. We ask this question since we perceive the answer to be important to the applied community through its relevance for applications to electromagnetic shielding or slot antennas. We make use of the results presented in [44] for the scalar Helmholtz equation and show, by using the Debye representation in waveguides, how they apply to the current EM waveguide model. We prove the existence of a class of solutions and include a feasibility discussion for the antenna synthesis problem together with relevant simulations.