J. Assaad et Jm. Rouvaen, SOME CONSIDERATIONS CONCERNING REPLICATED SPECTRA, The Journal of the Acoustical Society of America, 104(1), 1998, pp. 580-582
The aim of this paper is to clarify the effect replicated sources in t
wo-dimensional radiation problems. In fact, it will be shown that the
discrete pressure computed by using the angular spectrum approach is e
qual to the analytical pressure plus error terms arising from the conv
olutions of replicated spectra of the original spectrum and the Green'
s function. A similar result is obtained for the far-field discrete pr
essure. For the later case, it will be shown that errors can be elimin
ated by choosing a sampling step smaller to that given by the Nyquist
criterion. (C) 1998 Acoustical Society of America.