The Fourier rework process has been regularly occurring in electric engineer­ ing, which covers sign processing, verbal exchange, procedure keep an eye on, electro­ magnetics, and optics. The Fourier transform-technique is especially worthwhile in electromagnetics and optics because it presents a handy mathematical illustration for wave scattering, diffraction, and propagation. therefore the Fourier rework process has been lengthy utilized to the wave scattering difficulties which are usually encountered in microwave antenna, radiation, diffrac­ tion, and electromagnetic interference. which will u~derstand wave scattering normally, it is vital to resolve the wave equation topic to the prescribed boundary stipulations. the aim of this monograph is to provide rigorous so­ lutions to the boundary-value difficulties through fixing the wave equation in keeping with the Fourier rework. during this monograph the means of separation of vari­ ables is used to resolve the wave equation for canonical scattering geometries corresponding to undertaking waveguide buildings and rectangular/circular apertures. The Fourier rework, mode-matching, and residue calculus options are utilized to acquire uncomplicated, analytic, and rapidly-convergent sequence strategies. The residue calculus strategy is especially instrumental in changing the recommendations into sequence representations which are effective and amenable to nu­ merical research. We subsequent summarize the stairs of research approach for the scattering difficulties thought of during this e-book. 1. Divide the scattering area into closed and open areas. 2. symbolize the scattered fields within the closed and open areas by way of the Fourier sequence and remodel, respectively. three.

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