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Related Concept Videos

Characteristics of Simple Harmonic Motion01:17

Characteristics of Simple Harmonic Motion

The key characteristic of the simple harmonic motion is that the acceleration of the system and, therefore, the net force are proportional to the displacement and act in the opposite direction to the displacement. Additionally, the period and frequency of a simple harmonic oscillator are independent of its amplitude. For example, diving boards move faster or slower based on their thickness. A stiff, thick diving board has a large force constant, which causes it to have a smaller period, while a...
Simple Harmonic Motion01:21

Simple Harmonic Motion

Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...
Simple Harmonic Motion and Uniform Circular Motion01:42

Simple Harmonic Motion and Uniform Circular Motion

While simple harmonic motion and uniform circular motion may be two separate concepts, they correlate and interlink with each other. Simple harmonic motion is an oscillatory motion in a system where the net force can be described by Hooke's law, while uniform circular motion is the motion of an object in a circular path at constant speed.
There is an easy way to produce simple harmonic motion by using uniform circular motion. For instance, consider a ball attached to a uniformly rotating...
Standing Waves01:17

Standing Waves

Sometimes waves do not seem to move; rather, they just vibrate in place. Unmoving waves can be seen on the surface of a glass of milk kept in a refrigerator, which is one example of standing waves. Vibrations from the refrigerator motor create waves on the milk that oscillate up and down but do not seem to move across the surface. These waves are formed or created by the superposition of two or more identical moving waves in opposite directions. The waves move through each other, with their...
Energy in Simple Harmonic Motion01:23

Energy in Simple Harmonic Motion

To determine the energy of a simple harmonic oscillator, consider all the forms of energy it can have during its simple harmonic motion. According to Hooke's Law, the energy stored during the compression/stretching of a string in a simple harmonic oscillator is potential energy. As the simple harmonic oscillator has no dissipative forces, it also possesses kinetic energy. In the presence of conservative forces, both energies can interconvert during oscillation, but the total energy remains...
Problem Solving: Energy in Simple Harmonic Motion01:17

Problem Solving: Energy in Simple Harmonic Motion

Simple harmonic motion (SHM) is a type of periodic motion in time and position, in which an object oscillates back and forth around an equilibrium position with a constant amplitude and frequency. In SHM, there is a continuous exchange between the potential and kinetic energy, which results in the oscillation of the object.
Consider the spring in a shock absorber of a car. The spring attached to the wheel executes simple harmonic motion while the car is moving on a bumpy road. The force on the...

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Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
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Published on: January 3, 2016

Harmonic motion detection in a vibrating scattering medium.

Matthew W Urban1, Shigao Chen, James Greenleaf

  • 1Department of Physiology and Biomedical Engineering, Ultrasound Research Laboratory, Mayo Clinic College of Medicine, Rochester, MN, USA. urban.matthew@mayo.edu

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|November 7, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces a new model for elasticity imaging, enabling precise measurement of tissue stiffness using ultrasound. The method accurately detects multifrequency vibrations in tissue, advancing medical imaging capabilities.

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Area of Science:

  • Medical Imaging
  • Biophysics
  • Acoustics

Background:

  • Elasticity imaging maps tissue stiffness, crucial for diagnosing diseases.
  • Ultrasound radiation force and pulse-echo methods are key techniques.
  • Vibrometry uses dynamic radiation force for accurate vibration measurement.

Purpose of the Study:

  • To present a model simulating harmonic motion detection in vibrating media.
  • To optimize motion detection for tissue vibrometry applications.
  • To introduce an experimental method for multifrequency radiation force.

Main Methods:

  • Simulated harmonic motion detection with 3-D beam shapes for radiation force and motion tracking.
  • Parameterized analysis for optimizing motion detection.
  • Experimental multifrequency radiation force generation and detection.

Main Results:

  • The model provides a platform for optimizing motion detection.
  • Experimental demonstration of simultaneous multifrequency vibration detection.
  • Accurate motion detection (100-200 nm displacement) and phase measurement (≤10 degrees) in bovine muscle.

Conclusions:

  • The developed model accurately predicts experimental observations.
  • Simultaneous multifrequency vibration induction and measurement are feasible.
  • This technique enhances the capabilities of ultrasound-based elasticity imaging.