Radiation pressure cross section exerted on homogenous dielectric spherical particle by zeroth order Mathieu beams

- We investigate the radiation pressure cross section by a linearly polarized zeroth Mathieu beam.
- The dependence of the radiation pressure cross section on various parameters is analyzed.
- It allows that the x-polarized zeroth order Mathieu beam cannot trap the spherical particle.

In this paper, we present a full calculation of radiation pressure cross section and optical forces exerted by linearly polarized zeroth order Mathieu beams on homogenous dielectric spherical particle in the framework of generalized Lorenz-Mie theory (GLMT). In this theory, the scattered fields are dependent upon the Mie scattering coefficients and the beam shape coefficients. So a new optical property such as force and torque appears by changing the beam profile and the nature of particle. In this way, this work is devoted to the analysis of both transverse and longitudinal optical forces exerted on a simple dielectric spherical particle by zeroth order Mathieu beams and zeroth order Bessel (which is a particular case of the first beam). Thus, through numerical simulations, we show that zeroth order Mathieu beams can׳t trap this particle but Bessel beam presents some dimensional stable equilibrium points.