Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions
General Mathematics
2024-05-14 v3 Optics
Abstract
A theoretical description of a class of unidirectional axisymmetric localized pulses, is given. The equivalence of their representations in the form of relatively undistorted quasi-spherical waves, in the form of Fourier-Bessel integrals and in the form of a superposition of plane waves with wave vectors having positive projections on a given direction is established.
Keywords
Cite
@article{arxiv.2403.09694,
title = {Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions},
author = {Alexandr B. Plachenov and Aleksei. P. Kiselev},
journal= {arXiv preprint arXiv:2403.09694},
year = {2024}
}
Comments
12 pages, no figures