Optical sorting by trajectory tracking with high sensitivity near the exceptional points

Exceptional points (EPs) in non-Hermitian systems embody abundant new physics and trigger various novel applications. In the optical force system, the motion of a particle near its equilibrium position is determined by the optical force stiffness matrix (OFSM), which is inherently non-Hermitian when...

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Main Authors: LiYong Cui, Song Liu, Neng Wang
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/acf6da
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author LiYong Cui
Song Liu
Neng Wang
author_facet LiYong Cui
Song Liu
Neng Wang
author_sort LiYong Cui
collection DOAJ
description Exceptional points (EPs) in non-Hermitian systems embody abundant new physics and trigger various novel applications. In the optical force system, the motion of a particle near its equilibrium position is determined by the optical force stiffness matrix (OFSM), which is inherently non-Hermitian when the particle is illuminated by vortex beams. In this study, by exploiting the rapid variations in eigenvalues and the characteristics of particle motion near EPs of the OFSM, we propose a method to sort particles with subtle differences in their radii or refractive indices based on their trajectories in air. We demonstrate that the trajectory of a particle with parameters slightly larger than those corresponding to certain EPs closely resembles an ellipse. The increase in the major axis of the ellipse can be several orders of magnitude larger than the increase in particle radius. Furthermore, even a slight change in the refractive index can not only significantly alter the size of the ellipse but also rotate its orientation angle. Hence, particles with subtle differences can be distinguished by observing the significant disparities in their trajectories. This approach holds promise as a technique for the precise separation of micro and nanoscale particles.
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spelling doaj.art-a2aec03b85bf41bbb3fe125f712ada462023-09-27T11:16:32ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125909304810.1088/1367-2630/acf6daOptical sorting by trajectory tracking with high sensitivity near the exceptional pointsLiYong Cui0https://orcid.org/0000-0002-9365-7284Song Liu1Neng Wang2https://orcid.org/0000-0002-4185-9626Hunan Provincial Key Laboratory of Flexible Electronic Materials Genome Engineering, Changsha University of Science and Technology , Changsha 410014, People’s Republic of China; School of Physics and Electronic Science, Changsha University of Science and Technology , Changsha 410004, People’s Republic of ChinaHunan Provincial Key Laboratory of Flexible Electronic Materials Genome Engineering, Changsha University of Science and Technology , Changsha 410014, People’s Republic of China; School of Physics and Electronic Science, Changsha University of Science and Technology , Changsha 410004, People’s Republic of ChinaChina State Key Laboratory of Radio Frequency Heterogeneous lntegration, College of Electronics and Information Engineering, Shenzhen University , Shenzhen 518060, People’s Republic of ChinaExceptional points (EPs) in non-Hermitian systems embody abundant new physics and trigger various novel applications. In the optical force system, the motion of a particle near its equilibrium position is determined by the optical force stiffness matrix (OFSM), which is inherently non-Hermitian when the particle is illuminated by vortex beams. In this study, by exploiting the rapid variations in eigenvalues and the characteristics of particle motion near EPs of the OFSM, we propose a method to sort particles with subtle differences in their radii or refractive indices based on their trajectories in air. We demonstrate that the trajectory of a particle with parameters slightly larger than those corresponding to certain EPs closely resembles an ellipse. The increase in the major axis of the ellipse can be several orders of magnitude larger than the increase in particle radius. Furthermore, even a slight change in the refractive index can not only significantly alter the size of the ellipse but also rotate its orientation angle. Hence, particles with subtle differences can be distinguished by observing the significant disparities in their trajectories. This approach holds promise as a technique for the precise separation of micro and nanoscale particles.https://doi.org/10.1088/1367-2630/acf6daexceptional pointoptical sortingtrajectory tracking
spellingShingle LiYong Cui
Song Liu
Neng Wang
Optical sorting by trajectory tracking with high sensitivity near the exceptional points
New Journal of Physics
exceptional point
optical sorting
trajectory tracking
title Optical sorting by trajectory tracking with high sensitivity near the exceptional points
title_full Optical sorting by trajectory tracking with high sensitivity near the exceptional points
title_fullStr Optical sorting by trajectory tracking with high sensitivity near the exceptional points
title_full_unstemmed Optical sorting by trajectory tracking with high sensitivity near the exceptional points
title_short Optical sorting by trajectory tracking with high sensitivity near the exceptional points
title_sort optical sorting by trajectory tracking with high sensitivity near the exceptional points
topic exceptional point
optical sorting
trajectory tracking
url https://doi.org/10.1088/1367-2630/acf6da
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AT nengwang opticalsortingbytrajectorytrackingwithhighsensitivityneartheexceptionalpoints