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Showing 1 to 7 of 7 for “"Localized waves"”.
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Practical localized waves generation
Since the early works on localized waves (LW), extensive results were published on this important subject, from both the theoretical and the experimental points of view. Nevertheless, those experimental techniques of LW generation suffer from several shortcomings. A major one is that only pulse …
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Sources of localized waves
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 …
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On the Generation and Applications of Localized Waves
… with the generation and applications of localized waves are addressed in this thesis. First, the salient characteristic features of two canonical localized wave solutions to the scalar wave equation are discussed. Second, novel azimuthally polarized focus wave mode-type and X wave-type …
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Numerical Analysis and Theory of Oblique Alfvenic Solitons Observed in the Interplanetary Magnetic Field
… Most of these reports claim that these localized pulses or bumps are solitons. Solitons are weakly nonlinear localized waves that tend to retain their form as they propagate and can be observed in various media which exhibit nonlinear steepening and dispersive effects. This thesis …
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Numerical Reconstruction and Applications of Acoustic and Electromagnetic Ultra-Wideband Localized Pulses Generated by Dynamic Aperture Antennas
… of acoustic and electromagnetic (EM) localized waves (LWs). The latter are carrier-free ultra-wideband pulses characterized by large focusing depths and extended ranges of localization. Special emphasis is placed on finite energy LWs that can be generated by dynamic aperture antennas …
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Existence and Stability of Solitary Waves for NLS with Defects
… the existence and stability of solitary waves to dispersive partial differential equations and, in particular to nonlinear Schr\"odinger equations with defects nonlinearity. First we identify necessary and sufficient conditions for the existence of appropriately localized waves for the …