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Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics)
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Wave Scattering Theory - A Series Approach Based on the Fourier Transformation (Paperback, Softcover reprint of the original 1st ed. 2001)
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Wave Scattering Theory - A Series Approach Based on the Fourier Transformation (Paperback, Softcover reprint of the original 1st ed. 2001)
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The Fourier transform technique has been widely used in electrical
engineer ing, which covers signal processing, communication, system
control, electro magnetics, and optics. The Fourier
transform-technique is particularly useful in electromagnetics and
optics since it provides a convenient mathematical representation
for wave scattering, diffraction, and propagation. Thus the Fourier
transform technique has been long applied to the wave scattering
problems that are often encountered in microwave antenna,
radiation, diffrac tion, and electromagnetic interference. In order
to u derstand wave scattering in general, it is necessary to solve
the wave equation subject to the prescribed boundary conditions.
The purpose of this monograph is to present rigorous so lutions to
the boundary-value problems by solving the wave equation based on
the Fourier transform. In this monograph the technique of
separation of vari ables is used to solve the wave equation for
canonical scattering geometries such as conducting waveguide
structures and rectangular/circular apertures. The Fourier
transform, mode-matching, and residue calculus techniques are
applied to obtain simple, analytic, and rapidly-convergent series
solutions. The residue calculus technique is particularly
instrumental in converting the solutions into series
representations that are efficient and amenable to nu merical
analysis. We next summarize the steps of analysis method for the
scattering problems considered in this book. 1. Divide the
scattering domain into closed and open regions. 2. Represent the
scattered fields in the closed and open regions in terms of the
Fourier series and transform, respectively. 3."
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