2D and 3D models for the cross-talk modeling in acoustic devices: a fast-MoM approach

Scattering of transverse-electric or magnetic plane waves on infinitely long and ideally conductive strips and bends has been treated thoroughly quite long ago. Also, scattering of electromagnetic waves on rectangular bent plates has been the subject of research. Furthermore, wires in the vicinity of plates or bends, and wires attached to these structures have been investigated. The analyses have been performed by applying Harrington's method of moments (MoM). However, the design of even “canonical structures” can become quite challenging both in terms of computational resources and the accuracy: The calculations have to be repeated when any of problems' parameters e.g. frequency, bent angle, dimensions of the strips or plates or wires changes. In this paper we reconsider these problems for two reasons. First, they well may serve as models for 2D and 3D cross-talk modeling in acoustic devices, and there have great practical significance. Second, we treat these problems to point out the shortcomings of the conventional MoM, and to sketch how the newly proposed Fast-MoM technique eliminates them. In previous works we had applied the Fast-MoM to vector fields in flat surface problems, and to scalar fields in geometries with perpendicular boundaries. The present discussion shows how these geometric restrictions can be removed by introducing a local coordinate system.