Quasimonochromatic exact solutions to Maxwell's equations with finite total energy and arbitrary frequencies in the vacuum

Xiaolu Ma (马晓路) and Richard S. Thompson
Phys. Rev. E 96, 062114 – Published 11 December 2017

Abstract

We analyze a family of exact finite energy solutions to Maxwell's equations. These solutions are a subset of the modified-power-spectrum solutions found by Ziolkowski [Phys. Rev. A 39, 2005 (1989)]. There are three characteristic parameters in the solutions: q1,q2, and k0. q1 and q2 are related to the frequency bandwidth of the solution. In the parameter space of k0q11 and k0q21, they represent quasimonochromatic continuous wave fields with the main angular frequency k0c and energy localized in the transverse directions. Under the restriction of q1q2, the beam propagates mainly in the +z direction with velocity c and limited diffraction.

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  • Received 10 July 2016
  • Revised 27 September 2017

DOI:https://doi.org/10.1103/PhysRevE.96.062114

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
General Physics

Authors & Affiliations

Xiaolu Ma (马晓路) and Richard S. Thompson*

  • Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484, USA

  • *rsthom@usc.edu

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Issue

Vol. 96, Iss. 6 — December 2017

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