High-order Bessel non-vortex beam of fractional type α: II. Vector wave analysis for standing and quasi-standing laser wave tweezers

Abstract

Based on the vector Maxwell’s equations and Lorenz’ gauge condition, full vector-wave derivations for the electric and magnetic fields components of a high-order Bessel non-vortex beam of fractional type α (HOBNVB-Fα) are presented. The field corresponds to the most generalized case of quasi-standing waves that reduce to perfect (i.e. equi-amplitude) standing waves or progressive waves with appropriate choice of the quasi-standing wave coefficient Υ. Particular emphasis is given on the polarization states of the vector potentials used to derive the field’s components and the transition from the progressive to perfect standing wave behavior. The results are of particular importance in the study of the optical/electromagnetic wave scattering, radiation force and torque in dual-beam optical laser-wave tweezers operating with this fractional type of non-diffracting non-vortex beams.