Related Experiment Video
Updated: Aug 14, 2025

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers
Published on: August 31, 2021
Interrogating imaginary optical force by the complex Maxwell stress tensor theorem
Jinwei Zeng1,2, Jian Wang3,4
1Wuhan National Laboratory for Optoelectronics and School of Optical and Electronic Information, Huazhong University of Science and Technology, Wuhan, 430074, Hubei, China.
A new theorem for the Maxwell stress tensor relates imaginary optical force and canonical momentum. This is key for achieving perfect optical force efficiency in nanoparticles.
Area of Science:
- Optics
- Nanotechnology
- Theoretical Physics
Background:
- Optical forces are crucial for manipulating nanoparticles.
- Understanding the efficiency of optical forces requires detailed theoretical frameworks.
Purpose of the Study:
- To develop a complex Maxwell stress tensor theorem.
- To establish relationships between optical force components and momentum.
- To enable the optimization of optical force efficiency.
Main Methods:
- Formulation of the complex Maxwell stress tensor theorem.
- Analysis of the reactive strength of canonical momentum.
- Derivation of relationships for total optical force.
Main Results:
- The theorem successfully relates imaginary optical force to canonical momentum.
- Quantification of the reactive strength of canonical momentum.
- Identification of parameters essential for perfect optical force efficiency.
Conclusions:
- The developed theorem provides a fundamental link between optical forces and momentum.
- This framework is essential for designing systems with maximum optical force efficiency.
- Advances in nanoparticle manipulation and optical trapping are anticipated.
More Related Videos
Related Concept Videos
General State of Stress
Specifically, consider a tetrahedral element where one face, labeled XYZ, is perpendicular to the line OA, and the remaining faces align with the coordinate axes with point O as the origin. At any point, such as point O, the stress tensor can be used to determine the stress...
Transformation of Plane Stress
Components of Stress
Interestingly, the hidden cube faces also experience these stresses, equal and...
Stress: General Loading Conditions
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
Moment of a Force: Scalar Formulation
Consider a simple example of a flywheel being rotated about a point, O, by applying a force to it. In this case, the moment arm is the perpendicular distance between the point O and the line of action of the force. The...
Symmetry in Maxwell's Equations

