Cylindrical Waveguide Problems
In this chapter we consider various problems associated with scattering within a cylindrical waveguide environment. We first discuss some general concepts relating to magnetic potential and electric Green’s dyadics of the first and second kinds. Then, a variety of integral equations are formulated for waveguide scattering problems, including the problem of an infinite waveguide containing perfectly conducting obstacles, an infinite waveguide with apertures that couple energy to the region outside the waveguide, semi-infinite waveguides coupled through apertures in a common ground plane, and semi-infinite waveguides containing perfectly conducting obstacles and coupled through apertures in a common ground plane. In these sections the background waveguide (i.e., the waveguide with all apertures and obstacles removed) contains a homogeneous medium, and all formulations utilize the corresponding dyadic Green’s function for the background waveguide. These Green’s dyadics are developed via a scalar partial eigenfunction expansion method, and explicit forms are provided for the special case of rectangular waveguides.
KeywordsGround Plane Rectangular Waveguide Magnetic Current Cylindrical Waveguide Integral Equation Formulation
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