Acoustic bullet waves are a class of solutions of the scalar wave equation which have the property of maintaining their shape upon propagation, without spreading in space and in time. This is a very interesting issue that suggests the use of acoustic bullets in many fields, among which there is acoustical imaging. In this work, a necessary and sufficient condition for the generation of acoustic bullets is presented and an impulse response for the case of axial symmetry is obtained. These aspects shed light onto the peculiarities of acoustic bullets and give also hints for the practical realization of this kind of fields. Numerical simulations are also presented in order to analyze the departures from the ideal case when using a finite- dimensional aperture. In particular, the performances of 2D transducer arrays, sparse and not, are considered in the simulations.
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