Axial radiation force exerted by general non-diffracting beams

Abstract

The axial radiation force exerted by a general non-diffracting beam on an object of arbitrary shape in lossless medium is analyzed. The object may be on or off the beam’s axis. The analysis is based on the plane-wave representation of the beam using an azimuthal function and conical angle. The analytical expression relates the force to axial projections of the extracted and scattered momentum. Using an extended optical theorem, the extinction is related to the scattering at the forward direction of the beam’s plane wave components. The axial force is expressed using the scattering amplitude and known angular functions.