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28 November 2023 Nonlinear ray tracing to calculate the forces of an optical laser trap on a dielectric sphere
Qin Yu, Bryan M. Hennelly
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Proceedings Volume 12765, Optical Design and Testing XIII; 1276509 (2023) https://doi.org/10.1117/12.2689210
Event: SPIE/COS Photonics Asia, 2023, Beijing, China
Abstract
Nonlinear rays are described by the eikonal function, which bridges the gap between wave and geometrical optics. These nonlinear rays follow a path that is always normal to the phase front as it propagates in space. In this paper, we explore how to augment the classical geometrical ray-optics approach to calculate the forces acting on the sphere in an optical trap developed by Ashkin, such that non-linear rays can replace linear rays in the calculation. The greatest advantage of such an approach would be be the capacity to model the orbital angular momentum imparted on the sphere using a Laguerre-Gaussian spatial mode laser. The non-linear rays associated with any convering wavefield can be traced towards their intersection point on the surface of the sphere and for each one of these ’rays’, the scattering force, gradient force, and torque can be derived using the Equations defined by Ashkin. Integration of these forces reveals the total three-dimensional force acting on the sphere as well as total rotational forces which can be decomposed into a ’vertical torque’ and ’horizontal torque.’ As well as investigating the single beam dielectric trap in the model of Ashkin, we additionally investigate the dual beam trap for all cases, which has the benefit of enhanced trapping forces.
(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Qin Yu and Bryan M. Hennelly "Nonlinear ray tracing to calculate the forces of an optical laser trap on a dielectric sphere", Proc. SPIE 12765, Optical Design and Testing XIII, 1276509 (28 November 2023); https://doi.org/10.1117/12.2689210
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KEYWORDS
Ray tracing
Complex systems
Optical aberrations
Wave propagation
Zernike polynomials
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