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Related Concept Videos

Echo01:06

Echo

The human ear cannot distinguish between two sources of sound if they happen to reach within a specific time interval, typically 0.1 seconds apart. More than this, and they are perceived as separate sources.
Imagine the sound is reflected back to the ears. Assuming that the source is very close to the human, the difference between hearing the two sounds—the emitted sound and the reflected sound—may be more than the minimum time for perceiving distinct sounds. If this is the case, then the...
Ultrasonography01:17

Ultrasonography

Ultrasonography is an imaging technique that uses high-frequency sound waves to visualize the body's internal structures. It is a non-invasive and safe procedure that does not involve the use of ionizing radiation, making it widely used in various medical fields. Ultrasonography is used to study heart function, blood flow in the neck or extremities, certain conditions such as gallbladder disease, and fetal growth and development.
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Sound Waves: Interference00:53

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
Interference and Superposition of Waves01:07

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
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Updated: Jun 8, 2026

Evaluating Targeting Accuracy in the Focal Plane for an Ultrasound-guided High-intensity Focused Ultrasound Phased-array System
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A matching pursuit method for approximating overlapping ultrasonic echoes.

Etai Mor1, Amnon Azoulay, Mayer Aladjem

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IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|September 30, 2010
PubMed
Summary

Ultrasonic pulse-echo methods struggle with thin layers due to overlapping echoes. A new Support Matching Pursuit (SMP) method accurately resolves individual echoes for improved thickness measurements.

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Area of Science:

  • Materials Science
  • Acoustics
  • Signal Processing

Background:

  • Ultrasonic pulse-echo techniques are vital for measuring layered structures and adhesive interfaces.
  • Conventional methods face limitations in resolving thin layers due to overlapping echoes from successive interfaces.
  • Accurate thickness measurement of thin adhesive layers is crucial for structural integrity.

Purpose of the Study:

  • To introduce a novel signal processing method, Support Matching Pursuit (SMP), for resolving individual ultrasonic echoes.
  • To overcome the limitations of conventional pulse-echo techniques in measuring thin layered structures.
  • To enable accurate characterization of thin adhesive interface layers.

Main Methods:

  • Developed Support Matching Pursuit (SMP), a sparse signal approximation method using an overcomplete dictionary of Gabor atoms.
  • Implemented an atom selection criterion that leverages the time-localization of ultrasonic echoes.
  • Compared the performance of SMP against traditional sparse approximation methods like Matching Pursuit (MP) and Basis Pursuit (BP).

Main Results:

  • SMP accurately resolves individual ultrasonic echoes, even when they overlap in time.
  • The method provides physically interpretable approximations, with each echo represented by a single atom.
  • Simulations and experiments on adhesively bonded structures demonstrated SMP's superior performance over MP and BP.

Conclusions:

  • Support Matching Pursuit (SMP) significantly enhances the capability of ultrasonic pulse-echo methods for measuring thin layers.
  • SMP offers a robust solution for resolving overlapping echoes, improving accuracy in thickness measurements of adhesive interfaces.
  • This method holds promise for non-destructive evaluation of layered materials and structures.