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Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions
Plachenov A.B.
1, Kiselev A.P.
2,3
1MIREA - Russian Technological University, Moscow, Russia
2St. Petersburg Department of V.A. Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia
3Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia
2St. Petersburg Department of V.A. Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia
3Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, St. Petersburg, Russia
Email: a_plachenov@mail.ru, kiselev@pdmi.ras.ru
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.
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