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Localized pulses exhibiting a missilelike slow decay.
Amr M Shaarawi1, Maha A Maged, Ioannis M Besieris
1Physics Department, American University in Cairo, Egypt. shaarawi@aucegypt.edu
Summary
Localized waves can act like missiles, maintaining their shape and showing slow amplitude decay. This quasi-missile behavior is observed in specific wave pulses, particularly when generated from a finite aperture.
Area of Science:
- Physics
- Wave Phenomena
Background:
- Localized waves are known for their ability to maintain their shape over distance.
- Some theoretical models predict 'missile' solutions with exceptionally slow amplitude decay.
Purpose of the Study:
- To investigate the quasi-missile behavior of specific localized wave solutions.
- To compare source-free localized waves with those excited from a finite aperture.
Main Methods:
- Analysis of modified power spectrum and splash pulses.
- Mathematical modeling of wave propagation and decay rates.
Main Results:
- Source-free localized waves can exhibit slow decay rates similar to missile solutions.
- Localized waves from finite apertures show quasi-missile decay in their peaks.
- Pulses decay slower than 1/R in an intermediate range before transitioning to 1/R decay.
Conclusions:
- Quasi-missile behavior is a notable characteristic of certain localized waves.
- The excitation method (source-free vs. finite aperture) influences the manifestation of missile-like decay.