In the area of sound field synthesis, reproduced sound fields are commonly visualized using simulations. In such simulations, the loudspeakers are often modeled as simplified acoustic sources that are analytically tractable, such as point sources. This simplification limits the accuracy of the simulation, particularly at high frequencies. Considering that sound field synthesis methods also suffer from artifacts at high frequencies, it is desirable to simulate the reproduced sound fields more accurately. The aim of this paper is to simulate the sound fields using the impulse responses of a real loudspeaker. The spatio-temporal impulse responses were sampled at discrete positions, and were used to obtain the impulse responses for other positions. This extrapolation method was based on the Kirchhoff-Helmholtz integral equation. The proposed method can be used to visualize the detailed structure of the reproduced sound fields. As evidence of this, some exemplary simulation results are presented herein.
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