Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions

2024/02/18 by A. B. Plachenov, Plachenov, Alexandr B., A. P. Kiselev +1 · 1 citation
Engineering · Physics and Astronomy · #78A10 #FOS: Mathematics #FOS: Physical sciences #General Mathematics (math.GM) #Laser-Plasma Interactions and Diagnostics #Optics (physics.optics) #Pulsed Power Technology Applications #Ultra-Wideband Communications Technology

paper · pdf · doi:10.48550/arxiv.2403.09694

openalex publication_date 2024/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Asymptotics of a finite-energy unidirectional solution of the wave equation with non-spherical-wave behavior at infinity

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