“…Thus, in a homogeneous atmosphere, the resulting long-time behavior shape at far field does not depend on the source characteristics (Carlson & Maglieri, 1972;Smoller, 2012). However, the durations, amplitudes, and times of arrival of the resulting N-waves at far distances do depend on the source characteristics (Howes, 1967;T.-P. Liu, 1977). In general, however, the shape of N-waves may be distorted by atmospheric stratification, winds, and turbulence (Crow, 1969;Marchiano et al, 2005;Pierce & Maglieri, 1972;Sabatini, Snively, et al, 2019), as well as nonlinear effects and wave focusing (Inoue & Yano, 1997;Sabatini, Marsden, et al, 2019).…”