Reconstruction of acoustic source with high-curvature part

In this paper, we are concerned with the reconstruction of acoustic sources which contain high-curvature components. We consider the Fourier method developed by Wang X et. al. in [35], and take high-curvature boundary into consideration when choosing Fourier coefficients. We investigate the sophisticated relationship between high frequency Fourier coefficients and high-curvature boundary of the acoustic source, and propose a better cutoff procedure which can greatly enhance the effects in reconstruction of high-curvature boundary. The stability of the proposed method is also derived. Numerical experiments are presented to show the effectiveness of our method. The results may be a new perspective for super-resolution reconstruction of acoustic sources.