Efficient integral equation formulation for inductive waveguide components with posts touching the waveguide walls

Abstract

[1] In this paper a surface integral equation technique is employed for the analysis of inductive waveguide problems containing metallic or dielectric objects of arbitrary shape, focusing on the case where these objects are connected to the waveguide walls. Using the extinction theorem, the main problem is split into two problems. In the first one the parallel plate waveguide Green's functions are used. Because of the choice of these functions, the side of the object touching the waveguide wall is not considered for discretization in a method of moments analysis. The second problem is applied inside the dielectric object, and uses the free space Green's functions. It is shown that an additional spatial image is needed to impose the proper boundary conditions for the fields on the side touching the waveguide wall in the original problem. Results show the importance of including this additional image in the formulation for the correct behavior of the fields. With the proposed technique, the paper explores some alternatives for designing specific filter responses using dielectric posts inside cavity filters. Comparisons with a commercial finite elements tool demonstrate the accuracy of the proposed integral equation formulation.

Design of manifold multiplexers in all‐inductive dual‐mode rectangular waveguide technology using the coupling matrix formalism

“…One of the advantages of this topology is that it remains completely 2‐D, as shown in Figure , including channel filters and the manifold. Consequently, the complete analysis can be reduced to a two dimensional structure, being very efficient, for instance, following techniques such as those described in Perez Soler et al [].…”

“…Also, full 3‐D manufacturing techniques are required, which could increase the overall cost of the hardware. On the contrary, the analysis of the structures proposed in this work can be analyzed with 2‐D models, which can be made computationally very efficient [ Perez Soler et al , ]. Another advantage of the structure proposed is that it is simpler to manufacture, so it may lead to cost reduction as compared to full 3‐D waveguide structures.…”

Novel Spatial Domain Integral Equation Formulation for the Analysis of Rectangular Waveguide Steps Close to Arbitrarily Shaped Dielectric and/or Conducting Posts

“…An alternative technique to these previous techniques is the integral equation formulated in the spatial domain (Perez Soler et al, 2007;Quesada Pereira et al, 2006, 2011. The advantage of this technique is that it can treat more general structures composed of complex-shaped metallic posts or homogeneous material Radio Science 10.1002/2017RS006429 bodies, once the relevant Green's functions of the problem are efficiently computed in the spatial domain.…”

An efficient integral equation technique for the analysis of arbitrarily shaped capacitive waveguide circuits

“…An interesting example is the study of inductive microwave components in rectangular waveguides [see Esteban et al , 2002]. This problem was also solved by Quesada Pereira et al [2007] and Pérez Soler et al [2007] using a 2‐D integral equation formulation under normal plane wave excitation. In addition, 2‐D integral equation formulations with oblique incident angle have been used in general scattering problems, involving both metallic and dielectric objects as described by Peterson et al [1998] and Rojas [1988].…”