Analysis reveals pattern formation from high-frequency waves with shock fronts, suggesting complex interactions in wave dynamics.
The universal theory of “parametric” sound emitters is presented, taking into account the attenuation and diffraction of interacting waves in the quasi-optical approximation. Expressions are given that describe the structure of the low-frequency field excited by high-frequency waves with arbitrary amplitude and phase distributions on the surface of pump converters. Universal formulas for calculating directional patterns are given. The dynamics of pattern formation is described. The results of calculating the regime of highly distorted pump waves containing shock fronts are presented.
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O. V. Rudenko (2025) studied this question.
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