title: Localized pulses exhibiting a missilelike slow decay.
abstract: We investigate the quasi-missile behavior of known localized wave solutions, such as the modified power spectrum and splash pulses. We demonstrate that source-free localized waves can exhibit slow decay rates analogous to Wu's missile solutions, which are characterized by an amplitude decay rate slower than 1/R over an unlimited range. When excited from a finite aperture, the missilelike decay is not exhibited by all localized waves showing such behavior in the source-free situation. On the other hand, localized wave missiles generated from a finite aperture have peaks that exhibit quasi-missile decay. In an extended intermediate range between the near- and the far-field regions, these pulses decay at a rate slower than 1/R before switching to the usual 1/R decay.
authors.affiliation: Physics Department, American University in Cairo, Egypt. shaarawi@aucegypt.edu
authors.forename: Amr M
authors.initials: AM
authors.lastname: Shaarawi
authors.forename: Maha A
authors.initials: MA
authors.lastname: Maged
authors.forename: Ioannis M
authors.initials: IM
authors.lastname: Besieris
authors.forename: Essam
authors.initials: E
authors.lastname: Hashish