Optimized Sound Field Generation in the Time Domain - Validation for Source Arrays in 2D
* Presenting author
Line Source Arrays (LSAs) are used for sound reinforcement aiming at the synthesis of homogeneous sound fields for the whole audio bandwidth. The deployed loudspeaker cabinets are rigged with different tilt angles and/or electronically controlled. The determination of the optimal geometric arrangement and electronic drive is an ill-posed inverse problem. In a preceding contribution, we introduced an adjoint-based approach for sound reinforcement problems in the time domain. By defining a target sound field within an objective function the method allows the optimization of acoustic sources also considering a base flow or thermal stratification. It is based on the Euler equations and the corresponding adjoint which are solved by means of computational aeroacoustic (CAA) techniques. Both, appropriate driving functions and appropriate positions of the sources for the synthesis of a desired sound field can be determined.We will present new validation examples with several loudspeakers for a typical straight and a typical circular two-dimensional loudspeaker array setup. It will be shown that pre-specified driving functions - amplitudes and phases - can be regained using the adjoint-based method.