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Related Concept Videos

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...
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Doppler Effect - II

The Doppler effect has several practical, real-world applications. For instance, meteorologists use Doppler radars to interpret weather events based on the Doppler effect. Typically, a transmitter emits radio waves at a specific frequency toward the sky from a weather station. The radio waves bounce off the clouds and precipitation and travel back to the weather station. The radio frequency of the waves reflected back to the station appears to decrease if the clouds or precipitation are moving...
Standing Waves in a Cavity01:28

Standing Waves in a Cavity

A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:
Excess Pressure Inside a Drop and a Bubble01:13

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Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
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Upsampling

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Giant frequency down-conversion of the dancing acoustic bubble.

P A Deymier1, M Keswani1, N Jenkins1

  • 1Department of materials Science and Engineering, 1235 E. James E. Rogers Way, University of Arizona, Tucson AZ 85721, USA.

Scientific Reports
|November 19, 2016
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Researchers observed a giant frequency down-conversion in acoustic bubbles, reducing their oscillation frequency by over 1000 times. This phenomenon, driven by ultrasonic standing waves, offers new insights into bubble dynamics.

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Area of Science:

  • Acoustics
  • Fluid Dynamics
  • Nonlinear Dynamics

Background:

  • Submillimeter acoustic bubbles exhibit complex oscillatory behaviors when subjected to ultrasonic standing waves.
  • Understanding bubble dynamics is crucial for applications in sonochemistry, medical imaging, and materials science.

Purpose of the Study:

  • To experimentally demonstrate and theoretically explain giant frequency down-conversion in the translational motion of acoustic bubbles.
  • To investigate the mechanism behind the significant reduction in oscillation frequency.
  • To analyze the oscillatory behavior of bubble chains formed by radiation forces.

Main Methods:

  • Experimental observation of submillimeter acoustic bubbles in water under a 500 kHz ultrasonic standing wave.
  • Development of an analytical model describing bubble translational motion using Mathieu's equation.
  • Analysis of bubble chain oscillations and their spectral band.

Main Results:

  • Observed a giant frequency down-conversion, with bubble oscillation frequencies (~170 Hz) over 1000 times lower than the driving ultrasonic wave (500 kHz).
  • The analytical model, based on Mathieu's equation, explained the frequency reduction as a result of unstable equilibrium.
  • Bubble chains exhibited translational oscillations within a spectral band (130–370 Hz), also significantly lower than the driving frequency.

Conclusions:

  • Giant frequency down-conversion in acoustic bubble oscillations is experimentally verified and theoretically explained.
  • The phenomenon arises from unstable equilibrium within the acoustic field, as described by Mathieu's equation.
  • Bubble chain dynamics also display significantly down-converted frequencies, broadening the understanding of collective bubble behavior.