O'Reilly logo

Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition by Tim Mellow, Leo Beranek

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4.10. Radiation from a pulsating sphere

The pulsating sphere may be one of the most difficult sound sources to realize in practice, but it is the easiest three-dimensional source to analyze. Because of rotational symmetry, it can be treated as a one-dimensional problem with just a single radial ordinate r. Many practical sources behave in a similar way at low frequencies where they become virtually omnidirectional, as we shall see. Also, ultrasonic hydrosounders are often in the form of a sphere coated with a piezoelectric transducer. Essentially, the pulsating sphere is a sphere whose radius oscillates harmonically. In the limiting case, it will lead us to the point source, which forms a fundamental building block in acoustics.
Pressure ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required