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Electromagnetic Wave Scattering of a High-Order Bessel Vortex Beam by a Dielectric Sphere

This study investigates the arbitrary scattering of an unpolarized electromagnetic (EM) high-order Bessel vortex (helicoidal) beam (HOBVB) by a homogeneous water sphere in air. The radial components of the electric and magnetic scattering fields are expressed using partial wave series involving the beam-shape coefficients and the scattering coefficients of the sphere. The magnitude of the 3D electric and magnetic scattering directivity plots in the far-field region are evaluated using a numerical integration procedure for cases where the sphere is centered on the beam's axis and shifted off-axially with particular emphasis on the half-conical angle of the wave number components and the order (or helicity) of the beam. Some properties of the EM scattering of an HOBVB by the water sphere are discussed. The results are of some the scattering of importance in applications involving EM HOBVBs by a spherical object.