High-Frequency Electromagnetic Field Coupling to Small Antennae in a Rectangular Resonator

Abstract

The integral-differential equation for the current of an electrically small antenna, inside a resonator, which is induced by given sources, is approximately solved by the so-called “Method of Small Antenna,” both for dipole and loop antennas. The current induced in the antenna is evaluated using the scattering characteristics of small antennas in free space and regularized Green’s function of resonator. As example of application of the theory, a transfer function (“external field→induced voltage”) for the coupling through aperture is calculated.

Energy conserving coupling through small apertures in an infinite perfect conducting screen

“…In earlier works, Tkachenko et al (2012) and Rambousky et al (2013) used the method of small antenna (MSA) to analytically calculate the current induced in small near resonance antennas by external fields in various environments (Tkachenko et al, 2012;Rambousky et al, 2013). The MSA uses the formalism of Green's functions which describe the scatterer and the boundary conditions imposed by the environment.…”

Electromagnetic field coupling to an electrically small axial dipole antenna in a cylindrical cavity

“…In our papers [5][6][7] we propose a method to analyze the coupling to an electrically small dipole (monopole) antenna in a rectangular resonator (Method of Small Antenna, MSA) by consequently using the scattering theory. This approach gives a possibility to analytically express the solution for the scattered current inside the resonator from the free space solution and the regularized cavity Green's function.…”