Scattering of a focused Laguerre–Gaussian beam by a spheroidal particle

A focused Laguerre–Gaussian beam scattered by a homogeneous prolate spheroidal particle is studied for on-axis incidence. An approach to expanding a focused Laguerre–Gaussian beam in terms of the spheroidal wavefunctions in spheroidal coordinates is presented. By using the localized approximations method, the beam-shape coefficients are evaluated and the results agree with the cases of on-axis incidence. Calculations of the far-field scattering intensity are performed to study the shaped beam scattered by a spheroid, which has different size parameters and eccentricities.