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...
Main Authors: | , , |
---|---|
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 |
_version_ | 1797672439969218560 |
---|---|
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. |
first_indexed | 2024-03-11T21:30:05Z |
format | Article |
id | doaj.art-a2aec03b85bf41bbb3fe125f712ada46 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-11T21:30:05Z |
publishDate | 2023-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
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 |
work_keys_str_mv | AT liyongcui opticalsortingbytrajectorytrackingwithhighsensitivityneartheexceptionalpoints AT songliu opticalsortingbytrajectorytrackingwithhighsensitivityneartheexceptionalpoints AT nengwang opticalsortingbytrajectorytrackingwithhighsensitivityneartheexceptionalpoints |