Evolution of Wigner-distribution-function oblique Airy-Airy vortex wavepackets in a dispersive chiral medium

Abstract

This paper introduces a distinctive perspective to describe and construct a new type of spatiotemporal optical field. Being different from the previous traditional wave packet obtained from the (3+1) D Schrödinger equation in the real space, the newly proposed nonclassical oblique Airy-Airy vortex (OAAV) wave packet located in the phase and momentum space is constructed based on the Wigner-distribution-function (Wdf) method. The spatiotemporal dynamics of the Wigner-distribution-function oblique Airy-Airy vortex (WdfOAAV) wave packet propagating in a dispersive chiral medium (DCM) are investigated from various aspects, including the targeted wave packet's nonclassicality, propagation properties, angular momentum density, and lateral optical force. It is found that the medium's chirality would remove the degeneracy of the propagation velocities in momentum space, which would result in the accelerated and decelerated wave packets propagating without diffusion within several Rayleigh lengths. The WdfOAAV wave packet associates the time-space optical field in the phase and momentum space with that in the real space, and offers the essential information about the joint spatial position and phase/momentum distribution in arbitrary real-space coordinates. Results obtained here might open a new perspective for the construction of a nonclassical spatiotemporal optical field and be applied in particle manipulation and versatile light bullets.