# How Acoustic Levitation Works

By: Tracy V. Wilson  |

Unless you travel into the vacuum of space, sound is all around you every day. But most of the time, you probably don't think of it as a physical presence. You hear sounds; you don't touch them. The only exceptions may be loud nightclubs, cars with window-rattling speakers and ultrasound machines that pulverize kidney stones. But even then, you most likely don't think of what you feel as sound itself, but as the vibrations that sound creates in other objects.

The idea that something so intangible can lift objects may seem unbelievable, but it's a real phenomenon. Acoustic levitation takes advantage of the properties of sound to cause solids, liquids and heavy gases to float. The process can take place in normal or reduced gravity. In other words, sound can levitate objects on Earth or in gas-filled enclosures in space.

Contents

## Gravity and Acoustic Levitation

To understand how acoustic levitation works, you first need to know a little about gravity, air and sound. First, gravity is a force that causes objects to attract one another. The simplest way to understand gravity is through Isaac Newton's law of universal gravitation. This law states that every particle in the universe attracts every other particle. The more massive an object is, the more strongly it attracts other objects. The closer objects are, the more strongly they attract each other.

An enormous object, like the Earth, easily attracts objects that are close to it, like apples hanging from trees. Scientists haven't decided exactly what causes this attraction, but they believe it exists everywhere in the universe.

## Air and Acoustic Levitation

Second, air is a fluid that behaves essentially the same way liquids do. Like liquids, air is made of microscopic particles that move in relation to one another. Air also moves like water does — in fact, some aerodynamic tests take place underwater instead of in the air. The particles in gasses, like the ones that make up air, are simply farther apart and move faster than the particles in liquids.

## Sound Waves and Acoustic Levitation

Third, sound is a vibration that travels through a medium, like a gas, a liquid or a solid object. A sound's source is an object that moves or changes shape very rapidly. For example, if you strike a bell, the bell vibrates in the air. As one side of the bell moves out, it pushes the air molecules next to it, increasing the pressure in that region of the air. This area of higher pressure is a compression.

As the side of the bell moves back in, it pulls the molecules apart, creating a lower-pressure region called a rarefaction. The bell then repeats the process, creating a repeating series of compressions and rarefactions. Each repetition is one wavelength of the sound wave.

The sound wave travels as the moving molecules push and pull the molecules around them. Each molecule moves the one next to it in turn. Without this movement of molecules, the sound could not travel, which is why there is no sound in a vacuum. You can watch the animation to learn more about the basics of sound.

Acoustic levitation uses sound traveling through a fluid — usually a gas — to balance the force of gravity. On Earth, this can cause objects and materials to hover unsupported in the air. In space, it can hold objects steady so they don't move or drift. The process relies on the properties of sound waves, especially intense sound waves.

## The Physics of Sound Levitation

A basic acoustic levitator has two main parts — a transducer, which is a vibrating surface that makes sound, and a reflector. Often, the transducer and reflector have concave surfaces to help focus the sound. A sound wave travels away from the transducer and bounces off the reflector. Three basic properties of this traveling, reflecting wave help it to suspend objects in midair.

First, the wave, like all sound, is a longitudinal pressure wave. In a longitudinal wave, the movement of the points in the wave is parallel to the direction the wave travels. It's the kind of motion you'd see if you pushed and pulled one end of a stretched Slinky. Many illustrations, though, depict sound as a transverse wave, which is what you would see if you rapidly moved one end of the Slinky up and down. This is simply because transverse waves are easier to visualize than longitudinal waves.

Second, the wave can bounce off of surfaces. It follows the law of reflection, which states that the angle of incidence — the angle at which something strikes a surface — equals the angle of reflection — the angle at which it leaves the surface. In other words, a sound wave bounces off a surface at the same angle at which it hits the surface.

A sound wave that hits a surface head-on at a 90-degree angle will reflect straight back off at the same angle. The easiest way to understand wave reflection is to imagine a Slinky that is attached to a surface at one end. If you picked up the free end of the Slinky and moved it rapidly up and then down, a wave would travel the length of the spring. Once it reached the fixed end of the spring, it would reflect off of the surface and travel back toward you. The same thing happens if you push and pull one end of the spring, creating a longitudinal wave.

Finally, when a sound wave reflects off of a surface, the interaction between its compressions and rarefactions causes interference. Compressions that meet other compressions amplify one another, and compressions that meet rarefactions balance one another out. Sometimes, the reflection and interference can combine to create a standing wave. Standing waves appear to shift back and forth or vibrate in segments rather than travel from place to place. This illusion of stillness is what gives standing waves their name.

## An Acoustic Levitator Can Create a Standing Wave

Standing sound waves have defined nodes, or areas of minimum pressure, and antinodes, or areas of maximum pressure. A standing wave's nodes are at the heart of acoustic levitation. Imagine a river with rocks and rapids. The water is calm in some parts of the river, and it is turbulent in others. Floating debris and foam collect in calm portions of the river. In order for a floating object to stay still in a fast-moving part of the river, it would need to be anchored or propelled against the flow of the water. This is essentially what an acoustic levitator does, using sound moving through a gas in place of water.

By placing a reflector the right distance away from a transducer, the acoustic levitator creates a standing wave. When the orientation of the wave is parallel to the pull of gravity, portions of the standing wave have a constant downward pressure and others have a constant upward pressure. The nodes have very little pressure.

In space, where there is little gravity, floating particles collect in the standing wave's nodes, which are calm and still. On Earth, objects collect just below the nodes, where the acoustic radiation pressure, or the amount of pressure that a sound wave can exert on a surface, balances the pull of gravity.

It takes more than just ordinary sound waves to supply this amount of pressure. We'll look at what's special about the sound waves in an acoustic levitator in the next section.

## Nonlinear Sound and Acoustic Levitation

Ordinary standing waves can be relatively powerful. For example, a standing wave in an air duct can cause dust to collect in a pattern corresponding to the wave's nodes. A standing wave reverberating through a room can cause objects in its path to vibrate. Low-frequency standing waves can also cause people to feel nervous or disoriented — in some cases, researchers find them in buildings people report to be haunted.

But these feats are small potatoes compared to acoustic levitation. It takes far less effort to influence where dust settles or to shatter a glass than it takes to lift objects from the ground. Ordinary sound waves are limited by their linear nature. Increasing the amplitude of the wave causes the sound to be louder, but it doesn't affect the shape of the waveform or cause it to be much more physically powerful.

However, extremely intense sounds — like sounds that are physically painful to human ears — are usually nonlinear. They can cause disproportionately large responses in the substances they travel through. Some examples include:

• Distorted wave forms
• Shock waves, like sonic booms
• Acoustic streaming, or the constant flow of the fluid the wave travels through
• Acoustic saturation, or the point at which the matter can no longer absorb any more energy from the sound wave

Nonlinear acoustics is a complex field, and the physical phenomena that cause these effects can be difficult to understand. But in general, nonlinear effects can combine to make an intense sound far more powerful than a quieter one. It is because of these effects that a wave's acoustic radiation pressure can become strong enough to balance the pull of gravity. Intense sound is central to acoustic levitation — the transducers in many levitators produce sounds in excess of 150 decibels (dB). Ordinary conversation is about 60 dB, and a loud nightclub is closer to 110 dB.

## Can Sound Really Levitate Objects?

Levitating objects with sound isn't quite as simple as aiming a high-powered transducer at a reflector. Scientists also must use sounds of the correct frequency to create the desired standing wave. Any frequency can produce nonlinear effects at the right volume, but most systems use ultrasonic waves, which are too high-pitched for people to hear. In addition to the frequency and volume of the wave, researchers also must pay attention to a number of other factors:

• The distance between the transducer and the reflector must be a multiple of half of the wavelength of the sound the transducer produces. This produces a wave with stable nodes and antinodes. Some waves can produce several usable nodes, but the ones nearest the transducer and reflector are usually not suitable for levitating objects. This is because the waves create a pressure zone close to the reflective surfaces.
• In a microgravity environment, such as outer space, the stable areas within the nodes must be large enough to support the floating object. On Earth, the high-pressure areas just below the node must be large enough as well. For this reason, the object being levitated should measure between one-third and half of the wavelength of the sound. Objects larger than two-thirds of the sound's wavelength are too large to be levitated — the field isn't big enough to support them. The higher the frequency of the sound, the smaller the diameter of the objects it's possible to levitate.
• Objects that are the right size to levitate must also be of the right mass. In other words, scientists must evaluate the density of the object and determine whether the sound wave can produce enough pressure to counteract the pull of gravity on it.
• Drops of liquid being levitated must have a suitable Bond number, which is a ratio that describes the liquid's surface tension, density and size in the context of gravity and the surrounding fluid. If the Bond number is too low, the drop will burst.
• The intensity of the sound must not overwhelm the surface tension of liquid droplets being levitated. If the sound field is too intense, the drop will flatten into a donut and then burst.

## Practical Uses of Acoustic Levitators

This might sound like a lot of work required to suspend small objects a few centimeters off of a surface. Levitating small objects — or even small animals — a short distance might also sound like a relatively useless practice. However, acoustic levitation has several uses, both on the ground and in outer space. Here are a few:

• Manufacturing very small electronic devices and microchips often involves robots or complex machinery. Acoustic levitators can perform the same task by manipulating sound. For example, levitated molten materials will gradually cool and harden, and in a properly tuned field of sound, the resulting solid object is a perfect sphere. Similarly, a correctly shaped field can force plastics to deposit and harden only on the correct areas of a microchip.
• Some materials are corrosive or otherwise react with ordinary containers used during chemical analysis. Researchers can suspend these materials in an acoustic field to study them without the risk of contamination from or destruction of containers.
• The study of foam physics has a big obstacle — gravity. Gravity pulls the liquid downward from the foam, drying and destroying it. Researchers can contain foam within acoustic fields to study it in space, without the interference of gravity. This can lead to a better understanding of how foam performs tasks like cleaning ocean water.

Researchers continue to develop new setups for levitation systems and new applications for acoustic levitation.

##### Is acoustic levitation possible?
Yes, acoustic levitation is possible.
##### How does acoustic levitation really work?
Acoustic levitation is a phenomenon in which sound waves are used to create a force that can hold an object in the air.

### Sources

• Alan B. Coppens, "Sound", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.637200, last modified: August 26, 2005.
• Anilkumar, A.V. et al. "Stability of an Acoustically Levitated and Flattened Drop: An Experimental Study." Center for Microgravity Research and Applications, Vanderbilt University. 7/16/1993.
• Choi, Charles. "Scientists Levitate Small Animals." LiveScience. 11/29/2006. http://www.livescience.com/technology/061129_acoustic_levitation.html
• Choi, Charles. "Sound Waves Hold Heavy Metal Aloft." Science Now. 8/2/2002.
• Clery, Daniel. "Technology: Suspending Experiments in Thin Air." New Scientist. 4/25/1992. http://www.newscientist.com/article/mg13418183.800-technology- suspending-experiments-in-thin-air-.html
• Danley, et al. U.S. Patent 5,036,944. "Method and Apparatus for Acoustic Levitation." 8/4/2001.
• Daviss, Bennett. "Out of Thin Air." New Scientist. New Scientist. 9/1/2001. http://www.newscientist.com/article/mg17123064.600-out-of-thin-air.html
• Eastern Illinois Department of Physics: Acoustic Levitation http://www.eiu.edu/~physics/acoustic.php
• Fletcher, et al. U.S. Patent 3,882,732. "Material Suspension in an Acoustically Excited Resonant Chamber." 5/13/1975.
• Guigne, et al. U.S. Patent 5,500,493. "Acoustic Beam Levitation." 5/19/1996.
• Henry E. Bass, J. Brian Fowlkes, Veerle M. Keppens, "Ultrasonics", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.719500, last modified: August 8, 2002.
• Kenneth S. Suslick, "Sonochemistry", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.637005, last modified: May 2, 2002.
• Leo L. Beranek, "Wave motion", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.740500, last modified: August 16, 2002.
• Lierke, E.G. "The Ultrasonic Levitator - Space Technology for Terrestrial Applications." European Space Agency. http://esapub.esrin.esa.it/pff/pffv6n3/stiv6n3.htm
• Mark F. Hamilton, "Nonlinear acoustics", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.455450, last modified: April 18, 2003.
• Oran, et. al. U.S. Patent 4,218,921. "Method and Apparatus for Shaping and Enhancing Acoustical Levitation Forces." 8/26/1980. USPTO.
• Rey, Charles A. U.S. Patent 4,284,403. "Acoustic Levitation and Methods for Manipulating Levitated Objects." 8/18/2001.
• Robert E. Apfel, "Acoustic levitation", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.005800, last modified: July 16, 2001.
• Robert E. Apfel, "Acoustic radiation pressure", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.006200, last modified: July 16, 2001.
• Rudolf Tuckermann, Sigurd Bauerecker, "Ultrasonic trapping of gases", in AccessScience@McGraw-Hill, http://www.accessscience.com, DOI 10.1036/1097-8542.YB041145, last modified: March 4, 2004.
• Santesson, Sabina and Staffan Nilsson. "Airborne Chemistry: Acoustic Levitation in Chemical Analysis." Analytical and Bioanalytical Chemistry. 2004.
• Schmidt-Jones, Catherine. "What is a Standing Wave?" Connexions. http://cnx.org/content/m12413/latest/
• Strauss, Stephen. "Look Ma, No Hands." Technology Review. August/September 1988.