Electromagnetic binding and radiation force reversal on a pair of electrically conducting cylinders of arbitrary geometrical cross-section with smooth and corrugated surfaces

TL;DR

This paper presents a semi-analytical method to evaluate electromagnetic radiation forces on pairs of conducting cylinders with various cross-sections, considering surface roughness and incidence angles, relevant for optical and acoustical applications.

Contribution

It introduces a boundary matching approach for calculating radiation forces on arbitrarily shaped conducting cylinders, including rough surfaces, across different frequency regimes.

Findings

Force reversal phenomena observed under certain conditions.

Method validated with convergence plots and adaptable to various regimes.

Potential applications in optical tweezers and fluid dynamics.

Abstract

The electromagnetic (EM) radiation force-per-length exerted on a pair of electrically-conducting cylindrical particles of circular and non-circular cross-sections is examined using a formal semi-analytical method based on boundary matching in cylindrical coordinates. Initially, the scattering coefficients of the particle pair are determined by imposing suitable boundary conditions leading linear systems of equations computed via matrix inversion and numerical integration procedures. Standard cylindrical (Bessel and Hankel) wave functions are used and closed-form expressions for the dimensionless longitudinal and transverse radiation force functions are evaluated assuming either magnetic (TE) or electric (TM) plane wave incidences. Particle pairs with smooth and corrugated surfaces are considered and numerical computations are performed with emphasis on the distance separating their centers of mass, the angle of incidence of the incident illuminating field and the surface roughness. Adequate convergence plots confirm the validity of the method to evaluate the radiation force functions, and the model is adaptable to any frequency range (i.e. Rayleigh, Mie or geometrical optics regimes). The results can find potential applications in optical tweezers and other related applications in fluid dynamics. In addition, the acoustical analogue is discussed.