Expansion of a zero-order Bessel beam in spheroidal coordinates by generalized Lorenz-Mie theory

- The scattering of zero-order Bessel beam by dielectric spheroid is investigated.
- The analytic solution is constructed within the framework of the GLMT.
- The spheroidal beam shape coefficients of the zero-order Bessel beam are computed by use an intrinsic method.
- Numerical results concerning scattered field are displayed for various parameters.

An analytic solution to the scattering of the zero-order Bessel beam by a spheroidal particle is constructed on the basis of the generalized Lorenz-Mie theory (GLMT). The spheroidal beam shape coefficients (BSCs) of the zero-order Bessel beam are directly expressed in spheroidal coordinates and computed conveniently using an intrinsic method. Utilizing the tangential continuity of the electromagnetic fields, the expression coefficients of scattered and internal fields are determined. Numerical results concerning scattered field in the far zone are displayed for various parameters of the incident electromagnetic beam and of the scatter. These results are expected to provide useful insights into the scattering of a Bessel beam by spheroidal particles and particle manipulation applications using Bessel beams.