Combined Vibrator-Slot Structures in Electrodynamic Volumes

Abstract

Abstract-The problem of excitation of electromagnetic fields by a material body of finite dimensions in presence of coupling hole between two arbitrary electrodynamic volumes is formulated. The problem is reduced to two-dimensional integral equations for the surface electric current on a material body and the equivalent magnetic current on a coupling hole. A physically correct transition from the initial integral equations to one-dimensional equations for the currents in a thin impedance vibrator which, in general case, may have irregular geometric parameters, and a narrow slot is justified. A solution of resulting equations system for the transverse slot in the broad wall of rectangular waveguide and a vibrator with variable surface impedance in it was found by a generalized method of induced electro-magneto-motive forces. The calculated and experimental plots of electrodynamic characteristics of a vibrator-slot structure in a rectangular waveguide are presented.

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

“…In the Gaussian CGS system of units, the electromagnetic fields can be represented by the well-known Kirchhoff-Kotler integral equations [12]:…”

“…However, if the cross-sectional perimeter of the impedance cylinder is small as compared to its length and to the wavelength in the ambient medium (thin vibrator approximation) and if the slot width satisfy analogues conditions (narrow slot approximation), the solution of Equations (3) may be simplified [12]. The approach used in [12] for the analysis of vibratorslot system can be generalized for multielement systems. In addition, the boundary condition (2) can be extended to cylindrical vibrators with arbitrary distribution of the complex impedance, regardless of the exciting field structure and the electrical characteristics of the vibrator material [4].…”

“…The equations system (11) was solved by the generalized method of induced EMMF [12,13], using approximate expressions for the currents J 1(2) (s 1(2) ) = J 0 1(2) f 1(2) (s 1(2) ) and J 3 (s 3 ) = J 0 3 f 3 (s 3 ). Here J 0 1 (2) and J 0 3 are unknown current amplitudes, f 1(2) (s 1 (2) ) and f 3 (s 3 ) are distribution functions, obtained by solving equations for currents in a single vibrator and a slot by averaging method [21,22].…”

“…The vibrators can be located either in a half-space over an infinite perfectly conducting plane in which a hole is cut for coupling with another electrodynamic volume (a half-space over an infinite perfectly conducting plane, a waveguide, a resonator etc.) [5][6][7][8] or in waveguide transmission lines [9][10][11][12][13]. A special place among the combined vibrator-slot structures occupies multielement systems [14][15][16][17][18][19][20].…”

“…However, if the cross-sectional perimeter of the impedance cylinder is small as compared to its length and to the wavelength in the ambient medium (thin vibrator approximation) and if the slot width satisfy analogues conditions (narrow slot approximation), the solution of Equations (3) may be simplified [12]. The approach used in [12] for the analysis of vibratorslot system can be generalized for multielement systems.…”