Acoustic scattering by a small obstacle in the time domain

Acoustic scattering by small obstacles in the frequency domain has an extensive literature, going back to Lord Rayleigh in the 19th century. However, analogous results in the time domain are rare. A typical problem concerns the interaction of a sound pulse with a small obstacle. The beginning of a theory for such problems is outlined, using time domain boundary integral equations. A key question is What does it mean for an obstacle to be 'small'? (c) 2022 Acoustical Society of America.

Automated summary

Acoustic scattering by small obstacles in the frequency domain has been extensively studied, but there is limited research on analogous results in the time domain. This paper outlines a preliminary theory for the interaction of a sound pulse with a small obstacle using time domain boundary integral equations. A key question addressed is the definition of a "small" obstacle.