Light scattering of non-diffracting Tricomi beams by a homogeneous spherical particle

Non-diffracting beams have attracted enormous research interest for their unique properties and potential applications. As a type of non-diffracting beam described by the Tricomi functions and characterized by multiple parameters, the Tricomi beam exhibits good versatility and adjustability, which may be used as an advantage to enhance or suppress the scattering of particles. In this work, within the framework of the generalized Lorenz-Mie theory, the light scattering of non-diffracting Tricomi beams by spherical particles is investigated. The so-called beam shape coefficients of non-diffracting Tricomi beams are derived by using the angular spectrum decomposition method. The scattering characteristics of non-diffracting Tricomi beams by a homogeneous spherical particle are numerically simulated and analyzed, with special attention paid to the scattering intensity, scattering efficiency, and Stokes parameters in the far-field region. The results show that the scattering characteristics are strongly affected by the asymmetric constant, topological charge, and half-cone angle of the non-diffracting Tricomi beams. This research could provide useful insights into the scattering mechanisms of Tricomi beams and find potential applications in atmosphere remote sensing, particle measurement, and optical manipulation.