A plane wave generation method by wave number domain point focusing

Jiho Chang, Jung-Woo Choi, Yang-Hann Kim

Research output: Contribution to journalJournal articleResearchpeer-review


A method for generation of a wave-field that is a plane wave is described. This method uses an array of loudspeakers phased so that the field in the wave-number domain is nearly concentrated at a point, this point being at the wave-number vector of the desired plane wave. The method described here for such a wave-number concentration makes use of an expansion in spherical harmonics, and requires a relatively small number of measurement points for a good approximate achievement of a plane wave. The measurement points are on a spherical surface surrounding the array of loudspeakers. The input signals for the individual loudspeakers can be derived without a matrix inversion or without explicit assumptions about the loudspeakers. The mathematical development involves spherical harmonics and three-dimensional Fourier transforms. Some numerical examples are given, with various assumptions concerning the nature of the loudspeakers, that support the premise that the method described in the present paper may be useful in applications. © 2010 Acoustical Society of America.
Keyword: Fourier transforms,Acoustic focusing,Acoustic intensity,Acoustic field,Loudspeakers
Original languageEnglish
JournalJournal of the Acoustical Society of America
Issue number5
Pages (from-to)2758-2767
Publication statusPublished - 2010
Externally publishedYes


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