Oscillatory sound pulses, with or without axial angular momentum, localized in space and time
Phys. Rev. E 111, 065505 – Published 20 June, 2025
DOI: https://doi.org/10.1103/gt6g-vqfd
Abstract
Results are given for the exact energy and momentum of a family of oscillatory pulses. The pulses are characterized by a length and a dominant wave number . Pulses with angular momentum about the direction of propagation are also discussed. The total energy, momentum, and angular momentum of all pulses are simply expressed as integrals over a wave-number weight function, and evaluated explicitly for the family. For large the speed of sound times the net momentum tends to the total energy from below.
