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

Alexandr B. Plachenov; Aleksei. P. Kiselev

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arXiv · 2403.09694

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

Alexandr B. Plachenov·Aleksei. P. Kiselev

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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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Alexandr B. Plachenov, Aleksei. P. Kiselev. 2024-02-18. Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions. https://arxiv.org/abs/2403.09694

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