%0 Journal Article
%A Mospan, L. P.
%A Kirilenko, A. A.
%A Kulik, D. Yu.
%A Prikolotin, S. A.
%D 2014
%I Begell House
%K reflection resonance; rectangular waveguide; proper oscillation
%N 1
%P 1-17
%R 10.1615/TelecomRadEng.v73.i1.10
%T SPECTRAL PROPERTIES OF A RECTANGULAR WAVE GUIDING UNIT INVOLVING A PAIR OF RECTANGULAR POSTS OF EQUAL HEIGHTS
%U http://dl.begellhouse.com/journals/0632a9d54950b268,09870dcb0f7c12d6,5bec10023e0785e8.html
%V 73
%X The ability to identify the physical phenomena responsible for various resonance effects is essential for the success in developing resonance-based frequency-selective devices. The present paper suggests an analysis of the resonant total reflection effect existing in a waveguide unit with a pair of rectangular posts, disposed symmetrically along the wider wall of a rectangular cross-section guide. The analysis is performed within the framework of spectral theory of open waveguide-based resonators. The wave guiding unit is regarded as a single-channel, multiple mode resonance cavity. The resonant total reflection effect is interpreted as a result of excitation in the cavity of proper oscillations of complex frequency. The behavior of the eigen-oscillation frequencies has been studied within the complex plane in dependence on variations of two major geometrical parameters, namely separation between the posts and their height. The diffractive and spectral properties of the structure are compared, and the contribution of the proper oscillations into the structure's frequency response is analyzed. As has been found, the position and Q-factor of the resonance can be estimated to a good accuracy, using the complex frequency value of a single eigen-oscillation. Specifically, this latter is identified as the first higher-order mode of the resonant section, characterized by the same symmetry as the fundamental mode of the lead-in section. From the practical point of view, the results obtained shall enable modeling various band-pass filters with complex response functions in the frequency domain.
%8 2014-01-29