华东师范大学学报（自然科学版） >

2022 , Vol. 2022 >Issue 2: 106 - 113

DOI: https://doi.org/10.3969/j.issn.1000-5641.2022.02.012

物理学与电子学

光力场中粒子运动轨迹的计算

  • 谢海磊 ,
  • 杜骏杰
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  • 华东师范大学 物理与电子科学学院, 上海　200241

收稿日期: 2021-03-11

  网络出版日期: 2022-03-28

基金资助

国家自然科学基金 (11474098)

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Calculation of particle motion trajectories in optical force fields

  • Hailei XIE ,
  • Junjie DU
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  • School of Physics and Electronic Science, East China Normal University, Shanghai　200241 China

Received date: 2021-03-11

  Online published: 2022-03-28

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摘要

在采用米氏散射理论严格计算微纳粒子所受光力的基础上, 研究了基于欧拉-理查森算法计算粒子运动轨迹的问题. 相比欧拉算法和欧拉-克罗默算法, 欧拉-理查森算法精度更高且收敛速度更快, 是非常适合描绘粒子运动轨迹的方法. 纳米粒子在周期性保守光力场中的运动轨迹与物理分析完全吻合, 验证了该方法的有效性和稳定性. 给出的计算方法, 可用于更高效地研究光学微操控中胶体粒子和生物大分子的囚禁、输运、分类, 以及宏观粒子的冷却等.

关键词： 欧拉-理查森算法; 光力场; 粒子运动轨迹

本文引用格式

谢海磊 , 杜骏杰 . 光力场中粒子运动轨迹的计算[J]. 华东师范大学学报（自然科学版）, 2022 , 2022(2) : 106 -113 . DOI: 10.3969/j.issn.1000-5641.2022.02.012

Abstract

In this paper, the motion trajectory of micro-nanoparticles is calculated based on the Euler-Richardson algorithm after the optical force exerted on the particles is determined using Mie scattering theory. The Euler-Richardson algorithm has better calculation accuracy and faster convergence speed than the Euler algorithm and the Euler-Kromer algorithm, and thus is an appropriate approach to describe the trajectory of particles. Hence, the motion trajectory of a nanoparticle in a periodic conservative optical force field is calculated based on the Euler-Kromer algorithm; the results confirm consistency with the physical analysis, further verifying the effectiveness and stability of the approach. The calculation method shown in this paper provides a high-efficiency approach to study optical trapping, transport, sorting of colloidal particles, and biological macromolecules as well as the cooling of macroscopic particles in optical micro-manipulation.

Key words： Euler-Richardson algorithm; optical force field; particle motion trajectory

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