Electromagnetic Radiation Force of Vortex Electromagnetic wave exerted on a perfect electromagnetic conductor (PEMC) Sphere

In this manuscript, the electromagnetic (EM) radiation force (RF) exerted on a perfect electromagnetic conductor (PEMC) sphere by a vortex electromagnetic (VEM) wave with spiral phase distribution had been investigated. The analytical formulation of EM fields is being done in the framework of Mie theory, while the field expressions are being modeled considering the features of VEM wave for PEMC sphere. Initially, the incident field coefficients are evaluated using definite integrals. The scattering coefficients are then determined by imposing boundary conditions at the surface of PEMC sphere i.e., at 𝑟=𝑎, leading to a linear system of equations computed via solving matrix. So, a lengthy calculation yields undetermined scattered field coefficients relative to incident field coefficients. The cross-section (𝑄) factors i.e., scattering (𝑄𝑠𝑐𝑎) and extinction (𝑄𝑒𝑥𝑡) have been computed. The influence of sphere size parameter (𝜌) and beam waist radius (𝑤0) versus scattering angle (𝛼°) for the RF along with 𝑄𝑠𝑐𝑎 has been numerically analyzed. As no loss of energy occurs inside PEMC sphere so absorption ((𝑄𝑎𝑏𝑠)=0), by virtue of the energy conservation principle then, 𝑄𝑒𝑥𝑡=𝑄𝑠𝑐𝑎. Under specific condition, we implemented present results on 𝑄𝑠𝑐𝑎 towards light without orbital angular momentum (OAM) i.e., (𝑙=0) and plane wave for the PEMC sphere. The research work has potential applications towards particle manipulation, optical technology, and optical tweezers.