The article The Synthesis of Sound Figures published by Karim Helwani, Sascha Spors and Herbert Buchner in the Journal Multidimensional Systems and Signal Processing discusses the synthesis of sound fields within a predefined region in space. The problem is formulated by separating the sound field into regions with high acoustic level, so-called bright regions, and zones with low acoustic level (zones of quiet) by time independent virtual boundaries. An analytic solution to the problem is developed and its application using established sound field synthesis techniques is shown including an analysis of practical limitations.
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