Analytical solutions of the scattering properties of h‐plane junctions in rectangular waveguides

Abstract

The scattering properties of the H‐plane waveguide discontinuities such as the cross junction, T‐junction, and right‐angle bend are analyzed taking their symmetry into account. the solutions are synthesized in two new and simple expressions. These solutions are treated rigorously by the mode‐matching method in which each junction section is divided by a circular region and the electro magnetic fields are matched with the scattered waves into waveguide regions at the boundaries. By means of the accurate numerical results obtained in a wide frequency range, the scattering properties of the H‐plane junctions in a standard waveguide and an oversized waveguide are examined in detail. the latter is believed to be useful for an approximnte estimation of the scattering properties of crossing roads in underground shopping centers.

A switching function of a quantum dot surrounded by four tunnel junctions

“…Actually, however, due to the existence of portions with infinite curvature at the corners of the crossing, the convergence in terms of the number of modes is not good [10]. Also, Widarta and colleagues have used the mode matching method for an electromagnetic rectangular waveguide by expansion of the wave functions in the crossing region in terms of cylindrical functions as the basis functions [11,12]. They have pointed out that convergence of the numerical analysis becomes worse as the shape becomes more complex, such as a three-port T junction crossing rather than a two-port rightangle bend.…”

Eliminating Reflections in Waveguide Bends Using a Metagrating-Inspired Semianalytical Methodology

“…As in [37], [38], we use Cartesian coordinate systems in regions (1) and (2) to conveniently express the fields in rectangular WG eigenmode spectra. These coordinate systems are denoted by (x 1 , y 1 , z 1 ) and (x 2 , y 2 , z 2 ) and have their origins at points A and B respectively (see Fig.…”

“…As mentioned in the previous subsection, we treat the junction region (j) as a section of a radial WG [37], [38]. In particular, since the scatterer is situated in the junction, the field E j there should satisfy the inhomogeneous Helmholtz equation…”

“…1). To this end, we extend the formalism developed by Widarta, Kuwano, et al [37], [38], treating the bend in the frame of modal analysis with the boundary contour mode-matching (BCMM) method, to enable rigorous inclusion of the scatterer in the bend for calculation of the system scattering parameters. As will be shown, these scattering coefficients depend on the scatterer location in the bend and on the current induced on it.…”

A Precise Mode-Matching Technique for Characterizing an H-Plane Waveguide Y-Junction With an Arbitrary Angle

“…Using the orthogonality of the triangular functions, the above equations can be summarized as Refer to Appendix A for the matrix elements. When ' 0 = º , (18) is reduced to that of the T 2 junction in [13]. Using (18), the amplitude coe¯cients of electromagnetic elds for each rectangular waveguide region are given by…”