Abstract

Acoustic holography has been shown to be a useful tool for studying single frequency acoustic wavefields [Acoustical Holography (Plenum Press;, New York, 1969), Vol. II, Chap. 25; T. S. Graham, PhD thesis, The Pennsylvania State University (Mar., 1969) (unpublished)] allowing visual observation of the wavefield to be studied. To obtain greater insight into holographic reconstruction of acoustic wavefields the process of holographic reconstruction of a monopole and a dipole has been analyzed revealing interesting features of the holographic process. It is shown that the monopole reconstructs in the focal plane of an infinite hologram as J1(Kr)/r while the dipole reconstruction produces a sin(Kr)/r pattern. The results of this analysis may be extended to more general cases of acoustic wavefield reconstruction because the dipole and monopole are the building blocks of the Helmholtz formulation of acoustic boundary value problems.

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