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Virginia Tech

Sources of localized waves

Abstract

dc:description.abstract

The synthesis of two types of Localized Wave (L W) pulses is considered; these are the 'Focus Wave Model (FWM) pulse and the X Wave pulse. First, we introduce the modified bidirectional representation where one can select new basis functions resulting in different representations for a solution to the scalar wave equation. Through this new representation, we find a new class of focused X Waves which can be extremely localized. The modified bidirectional decomposition is applied to the nonhomogeneous scalar wave equation, resulting in moving sources generating L W pulses. In this work, we also address the possibility of exciting L W pulses from dynamic apertures, or apertures the effective radius of which is varied with time. Ideal L W pulses cannot be realized because they require infinite time excitation. However, in the case of finite L W pulses, the aperture of excitation is finite and is varied from a time - T to T. We show that the resulting L W pulses are more resistant to decay than classical monochromatic Gaussian pulses occupying the same beam waist. Both types of finite L W pulses, such as the FWM and X Wave pulse, can propagate without significant decay to much greater distances than classical monochromatic pulses. This desirable behavior is attributed to the superior aperture efficiency of the L W pulses, which in turn is attributed to their unique spectral structure.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Electrical Engineering
Department dc:contributor.department
Electrical Engineering
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
1994

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Chatzipetros, Argyrios Alexandros
Chair dc:contributor.committeechair
  • Besieris, Ioannis M.
Committee members dc:contributor.committeemember
  • Brown, Gary S.
  • de Wolf, David A.
  • Stutzman, Warren L.
  • Kohler, Werner E.

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-06062008-171252
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/38460

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
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citation

Chatzipetros, Argyrios Alexandros. Sources of localized waves. doctoral thesis, Virginia Tech, 1994. http://hdl.handle.net/10919/38460