Abstract
A theoretical investigation is reported on the scattered (and radiated) sum frequency signals, generated nonlinearly from two finite-amplitude, mutually perpendicular ultrasonic beams intersecting (and interacting) in the presence of turbulence. This article forms a complement to experimental study of such interactions, previously published and referred to as Part I [M. S. Korman and R. T. Beyer, J. Acoust. Soc. Am. 84, 339–349 (1988)]. An investigation of the scattering to lowest order is from the cubic quadrupole source term in the Lighthill wave equation (the Reynolds stress tensor ρuiuj). This theory, combined with results by Kraichnan [J. Acoust. Soc. Am. 25, 1096–1104 (1953)] and Ishimaru [Wave Propagation and Scattering in Random Medium (Academic, New York, 1978), Vol. 2, Chap. 16], explains much of the experimental scattering phenomenon discussed in Part I.
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