光力场中粒子运动轨迹的计算

doi:10.3969/j.issn.1000-5641.2022.02.012

摘要/Abstract

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

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

中图分类号:

O436.2

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.

Hailei XIE, Junjie DU. Calculation of particle motion trajectories in optical force fields[J]. Journal of East China Normal University(Natural Science), 2022, 2022(2): 106-113.

图/表 3

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