Nonparaxial wave beams and packets with general astigmatism

A. P. Kiselev, A. B. Plachenov, P. Chamorro-Posada

Research output

19 Citations (Scopus)

Abstract

We present exact solutions of the wave equation involving an arbitrary wave form with a phase closely similar to the general astigmatic phase of paraxial wave optics. Special choices of the wave form allow general astigmatic beamlike and pulselike waves with a Gaussian-type unrestricted localization in space and time. These solutions are generalizations of the known Bateman-type waves obtained from the connection existing between beamlike solutions of the paraxial parabolic equation and relatively undistorted wave solutions of the wave equation. As a technical tool, we present a full description of parametrizations of 2 × 2 symmetric matrices with positive imaginary part, which arise in the theory of Gaussian beams.
Original languageUndefined
Pages (from-to)043835_1-11
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume85
Issue number4
DOIs
Publication statusPublished - 2012

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