A. B. Plachenov, A. P. Kiselev, “Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier–Bessel integrals, and plane-waves decompositions”, Optics and Spectroscopy, 2024, Volume 132, Issue 4,Pages <nobr>429

This article is cited in 1 paper

Physical optics

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

A. B. Plachenov^a, A. P. Kiselev^bc

^a MIREA — Russian Technological University, Moscow, 119454 Russia
^b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, 191023 Russia
^c Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178 Russia

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: localized wave packets, unidirectional pulses, closed-form solutions.

Received: 08.02.2024
Revised: 06.04.2024
Accepted: 06.04.2024

DOI: 10.61011/OS.2024.04.58222.6006-24