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    A Bidirectional Traveling Plane-Wave Representation Of Exact-Solutions Of The Scalar Wave-Equation

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    Downloads: 1175
    Date
    1989-06-01
    Author
    Besieris, Ioannis M.
    Shaarawi, Amr M.
    Ziolkowski, R. W.
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    Abstract
    A new decomposition of exact solutions to the scalar wave equation into bidirectional, forward and backward, traveling plane wave solutions is described. The resulting representation is a natural basis for synthesizing pulse solutions that can be tailored to give directed energy transfer in space. The development of known free_space solutions, such as the focus wave modes, the electromagnetic directed energy pulse trains, the spinor splash pulses, and the Bessel beams, in terms of this decomposition will be given. The efficacy of this representation in geometries with boundaries, such as a propagation in a circular waveguide, will also be demonstrated.
    URI
    http://hdl.handle.net/10919/47018
    Collections
    • Scholarly Works, Electrical and Computer Engineering [539]

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