Electromagnetic Fields Excitation by a Multielement Vibrator-Slot Structures in Coupled Electrodynamics Volumes

A problem of electromagnetic fields excitation by a system of finite-dimensional material bodies in two arbitrary electrodynamic volumes coupled by holes, cut in a common boundary of the volumes, is defined in a rigorous formulation. For the system containing two material bodies and one coupling hole, the problem is reduced to a system of two-dimensional integral equations relative to surface electric currents on the material bodies and equivalent magnetic current in the coupling hole. The resulting integral equations are correctly transformed to a system of one-dimensional equations for currents in a narrow slot and on thin impedance vibrators, which may have irregular electrophysical and geometrical parameters. The resulting equations system for a transverse slot in a broad wall of a rectangular waveguide and impedance vibrators with variable surface impedance is solved by a generalized method of induced electro-magneto-motive forces (EMMF) under assumption that interaction between the vibrators and the slot is absent. Calculated and experimental plots of electrodynamic characteristics for this vibrator-slot structure are presented.