Abstract
Reconstruction of the sound fields by coherent sources has always been a great challenge for the acoustics community because any slight phase shifts among coherent sound waves can cause significant changes in the results. This paper explores the feasibility of using the Helmholtz equation least squares (HELS) and modified HELS based nearfield acoustical holography (NAH) to visualize coherent point sources in a free field. Our goal here is to locate the coherent sources precisely, but not to reconstruct their amplitudes accurately. In particular, we examine the spatial resolution limitations in using HELS and modified HELS to locate coherent sources, and why the guidelines established for the Fourier acoustics based NAH and Shannon–Nyquist sampling rate can by violated. Moreover, the impacts of stand‐off distance, frequency, microphone spacing, source separation distance, and signal to noise ratio on the spatial resolution offered by HELS and modified HELS are studied through numerical simulations. The res...
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