Related Experiment Video
Updated: Jul 7, 2026

09:10
Fabrication and Testing of Microfluidic Optomechanical Oscillators
Published on: May 29, 2014
Acoustic Bloch oscillations in a two-dimensional phononic crystal
Zhaojian He1, Shasha Peng, Feiyan Cai
1Key Lab of Acoustic and Photonic Materials and Devices of Ministry of Education and Department of Physics, Wuhan University, Wuhan 430072, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
Summary
Researchers observed acoustic Bloch oscillations at megahertz frequencies in a 2D phononic crystal. This demonstrates oscillatory motion using engineered cavities, paving the way for novel acoustic devices.
Area of Science:
- Acoustics
- Condensed Matter Physics
- Materials Science
Background:
- Phononic crystals are engineered materials that control sound wave propagation.
- Acoustic Bloch oscillations are analogous to electronic Bloch oscillations in periodic potentials.
- Observing these oscillations at high frequencies is challenging.
Purpose of the Study:
- To experimentally demonstrate acoustic Bloch oscillations at megahertz frequencies.
- To investigate the creation of acoustic Wannier-Stark ladders in a phononic crystal.
- To explore the oscillatory motion of acoustic pulses in engineered structures.
Main Methods:
- Fabrication of a two-dimensional phononic crystal with periodically arrayed cavities.
- Gradual decrease in cavity width along one direction to create a potential gradient.
- Numerical simulations and experimental measurements of acoustic pulse propagation.
Main Results:
- Observation of acoustic Bloch oscillations at megahertz frequencies.
- Successful creation of acoustic Wannier-Stark ladders in the frequency domain.
- Demonstration of oscillatory motion of an incident Gaussian pulse within the phononic crystal.
Conclusions:
- Acoustic Bloch oscillations are achievable at megahertz frequencies in designed phononic crystals.
- Engineered cavity gradients effectively create acoustic Wannier-Stark ladders.
- The findings validate theoretical predictions and open avenues for acoustic device applications.
More Related Videos
Related Concept Videos
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:
X-ray Crystallography
The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
Diffraction
Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
The de Broglie Wavelength
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
Oscillations In An LC Circuit
An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by
Damped Oscillations
In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Although friction and other non-conservative...
Modes of Standing Waves: II
The starting point for expressing the modes of standing waves is understanding the boundary conditions that the waves must follow. The boundary conditions are derived from the physical understanding of how the standing waves are sustained, that is, how the vibrating particles of the medium behave at the boundaries imposed on them.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.

