Energy backflow in unidirectional spatiotemporally localized wavepackets
- URL: http://arxiv.org/abs/2208.08251v1
- Date: Wed, 17 Aug 2022 12:11:30 GMT
- Title: Energy backflow in unidirectional spatiotemporally localized wavepackets
- Authors: Ioannis Besieris and Peeter Saari
- Abstract summary: Backflow, or retro-propagation, is a counterintuitive phenomenon where for a forward-propagating wave the energy or probability density locally propagates backward.
In this study the energy backflow has been examined in connection with relatively simple causal unidirectional finite-energy solutions of the wave equation.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Backflow, or retro-propagation, is a counterintuitive phenomenon where for a
forward-propagating wave the energy or probability density locally propagates
backward. In this study the energy backflow has been examined in connection
with relatively simple causal unidirectional finite-energy solutions of the
wave equation which are derived from a factorization of the so-called basic
splash mode. Specific results are given for the energy backflow arising in
known azimuthally symmetric unidirectional wavepackets, as well as in novel
azimuthally asymmetric extensions. Using the Bateman-Whittaker technique, a
novel finite-energy unidirectional null localized wave has been constructed
that is devoid of energy backflow and has some of the topological properties of
the basic Hopfion.
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