Abstract
Radial sonic crystals in two and three dimensions are introduced. These materials have the property of leaving the acoustic wave equation invariant under radial displacements, and then they present a “radial band structure” similar to that of one dimensional sonic crystals. Finite shells of radial sonic crystals can be used as resonant cavities. The radiation pattern of these cavities will be reported. For example, it will be shown that a cavity can be used as a dipolar source by placing a monopole inside the cavity. Finally, physical realization of radial sonic crystals is discussed in two and three dimensions [Work supported by Spanish MICIIN and Consolider Program.]
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