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Related Concept Videos

Three-Dimensional Force System01:30

Three-Dimensional Force System

In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
Two-Dimensional Force System01:20

Two-Dimensional Force System

A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
Focusing of Light in the Eye01:16

Focusing of Light in the Eye

Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...
Two-Dimensional Force System: Problem Solving01:29

Two-Dimensional Force System: Problem Solving

Solving problems related to two-dimensional force systems is an essential aspect of mechanics and engineering. By applying the principles of vector analysis and force equilibrium, one can determine the effect of multiple forces acting on an object in a two-dimensional space.
The first step to solving a two-dimensional force system problem is to draw a free-body diagram of the object under consideration. This diagram helps identify all the external forces acting on the object, including their...

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Related Experiment Video

Updated: Jun 24, 2026

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers
09:56

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers

Published on: August 31, 2021

Optical force model based on sequential ray tracing.

Eric Aspnes1, Tom D Milster, Koen Visscher

  • 1Prism Solar Technologies, Inc., 3450 South Broadmont Drive, Suite 128, Tucson, Arizona 85713, USA.

Applied Optics
|March 24, 2009
PubMed
Summary
This summary is machine-generated.

Ray-tracing calculations accurately predict optical forces and torques on particles, enabling precise optical trapping. This method was validated experimentally for various particle shapes and non-uniform illumination conditions.

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Analyzing the Movement of the Nauplius 'Artemia salina' by Optical Tracking of Plasmonic Nanoparticles
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Related Experiment Videos

Last Updated: Jun 24, 2026

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers
09:56

Direct Force Measurements of Subcellular Mechanics in Confinement using Optical Tweezers

Published on: August 31, 2021

Analyzing the Movement of the Nauplius 'Artemia salina' by Optical Tracking of Plasmonic Nanoparticles
05:52

Analyzing the Movement of the Nauplius 'Artemia salina' by Optical Tracking of Plasmonic Nanoparticles

Published on: July 15, 2014

Area of Science:

  • Optics
  • Computational Physics
  • Nanotechnology

Background:

  • Optical forces and torques are crucial for manipulating microscopic particles.
  • Ray-tracing methods offer a potential avenue for calculating these optical interactions.
  • Accurate prediction is essential for advancing optical trapping applications.

Purpose of the Study:

  • To demonstrate the utility of ray-tracing techniques for calculating optical forces and torques.
  • To validate the augmented ray-tracing code against experimental results.
  • To explore the application of this method to complex trapping scenarios.

Main Methods:

  • Augmenting a general ray-trace computer code with illumination polarization, irradiance distributions, and Fresnel surface coefficients.
  • Calculating optical forces and torques on particles, particularly large ones off-axis.
  • Comparing computational predictions of trapping location under non-uniform illumination with experimental data.

Main Results:

  • The augmented ray-tracing code provides reasonably accurate predictions of particle interaction.
  • Experimental validation confirmed the accuracy of the computational method for trapping location.
  • Successful calculations were performed for trapping a hemispherical lens and a two-particle system.

Conclusions:

  • Ray-tracing is a viable and accurate method for calculating optical forces and torques.
  • The developed computational approach enhances the prediction of optical trapping.
  • This technique has broad applicability in optical manipulation research.