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An Analytical Approach for Optimizing the Curving of Line Source Arrays

Line source arrays (LSAs) are used for large-scale sound reinforcement to synthesize a homogeneous field over the full audio bandwidth. Sound reinforcement in different venues requires adapted curving of LSAs. A purely analytical approach for finding appropriate LSA cabinet tilt angles is presented in this article. Polygonal audience line curving (PALC) is based on the geometry of the receiver area and the intended coverage. In comparison with typical standard LSA curving schemes, PALC appears to be superior due to its flexible adaptability with respect to the receiver geometry. The deployed loudspeaker cabinets are rigged with different tilt angles and/or electronically controlled. This provides the intended coverage of the audience zones and avoids radiation toward the ceiling, reflective walls, or residential areas. PALC can be applied in advance of a numerical optimization of the loudspeakers’ driving functions. The method can be used with different objectives, such as a constant interaction between adjacent cabinets with respect to the receiver geometry. The advantages of the presented approach regarding sound field homogeneity and target-oriented radiation are evaluated based on technical quality measures.


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