Optical forces, helicity, angular momentum and how they are all intertwined

TL;DR

This paper derives analytical expressions for optical forces and torques on micron-sized particles in Laguerre-Gaussian beams, introduces a computational toolbox, and explores how helicity and angular momentum influence trapping stability and resonance detection.

Contribution

It presents a new theoretical framework and software tool for analyzing optical forces and torques, revealing the roles of helicity and angular momentum in optical trapping and resonance identification.

Findings

Helicity and orbital angular momentum significantly affect particle dynamics in LG beams.

The developed toolbox predicts trap stability across various parameters.

LG beams can isolate Mie resonances for spectral analysis.

Abstract

The theoretical description of optical forces and torques on micron_sized particles is a crucial area of research and has formed the foundation for advancements in optical trapping and manipulation technologies. In this study, we derive analytical expressions for optical forces and torques on micron_sized spherical particles illuminated by focused Laguerre_Gaussian (LG) beams, employing the well_defined helicity multipolar decomposition of electromagnetic fields and Mie theory. We developed a multifunctional program, Multipolar Optical Forces Toolbox, based on this theoretical framework. The program, available on GitHub, was used to generate optical trapping stability maps. These maps predict trap stability across a wide range of system parameters and serve as a practical tool for designing advanced optical trapping experiments. Our analysis reveals the important role of helicity p and orbital angular momentum l on the dynamics of particles trapped off_axis in LG beams and demonstrates the unique nature of the tangential torque. Our findings also highlight notable differences in longitudinal optical forces resulting from pure helicity modifications in Gaussian beams. Furthermore, we showcase the ability of LG beams to isolate Mie resonances, offering a novel approach to locate the spectral positions of the resonances of high multipolar modes. These insights deepen the understanding of helicity in LG optical traps and pave the way for the development of more advanced optical manipulation techniques.