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When a beam is subjected to different loads, such as weight, pressure, or other external forces, internal forces are generated within the beam. These forces can have a significant impact on the overall stability and strength of the structure. Engineers use various methods to analyze and determine the magnitude and direction of these internal forces. One common technique used to determine internal forces in beams is the method of sections. This method involves considering an imaginary point or...

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Axial radiation force exerted by general non-diffracting beams.

Likun Zhang¹, Philip L Marston

¹Department of Physics and Astronomy, Washington State University, Pullman, Washington 99164-2814, USA. zhanglikun@wsu.edu

The Journal of the Acoustical Society of America

|April 17, 2012

Summary

This study analyzes the axial radiation force from non-diffracting beams on various objects. The findings provide a new method to calculate optical forces using scattering properties.

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Area of Science:

Optics and Photonics
Acoustics and Ultrasonics
Classical Mechanics

Background:

Non-diffracting beams offer unique propagation characteristics.
Understanding radiation forces is crucial for optical manipulation and acoustic trapping.
Previous models often simplified object shapes or beam types.

Purpose of the Study:

To analyze the axial radiation force exerted by general non-diffracting beams.
To develop a method applicable to objects of arbitrary shape, on or off-axis.
To establish a relationship between force, momentum, and scattering properties.

Main Methods:

Utilizing the plane-wave representation of non-diffracting beams.
Employing an azimuthal function and conical angle for beam description.
Applying an extended optical theorem to link extinction and forward scattering.
Deriving analytical expressions for axial force based on scattering amplitude.

Main Results:

An analytical expression for axial radiation force was derived.
The force is related to the axial projections of extracted and scattered momentum.
Extinction was successfully linked to forward scattering of plane wave components.
The axial force is expressed through scattering amplitude and angular functions.

Conclusions:

A generalized method for calculating axial radiation force from non-diffracting beams is presented.
The approach accommodates arbitrary object shapes and positions relative to the beam axis.
This work advances the understanding of light-matter and sound-matter interactions for complex scenarios.