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Sound field simulation and analysis using wave equation and finite differences method

This paper presents a sound field analysis method which uses numerical solving of the wave equation. The wave equation is described, its analytical and numerical solutions, and its application in sound field analysis. Finite difference method is used for solving the equation. Comparison of analytical and numerical solutions is shown, together with a discussion on convergence and stability of the numerical solution. Finally, the sound field simulator based on numerical solving of wave equation is presented. Applicability of sound field simulator for developing object detection algorithms is also analyzed.