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- W1996742439 abstract "High-frequency sound reflected from curved surfaces or refracted by inhomogeneities may produce cusped caustics that open up roughly transverse to the direction of propagation. Though the better-known longitudinal cusp or arête is produced by a concave cylindrical wave front, transverse cusps are produced by distinctly noncylindrical wave fronts of the form W(x,y) = − (a1x2 + a2y2x + a3y2), where a2≠0 and the distance z to the observation plane ≠ (−2a1)−1 [Marston, J. Acoust. Soc. Am. 81, 226–232 (1987)]. The wave front propagates in the z direction and in the orthogonal (u,v) observation plane the caustic has the form D(u − uc)3 = v2. The present research is concerned with the caustic surface generated by considering the z dependence of the caustic parameters D and uc. Reflection and transmission problems that lead to this W(x,y) in the paraxial approximation are discussed as well as a novel property of merging rays. Sound radiated by a point source so as to reflect from a surface whose height relative to the xy plane is of the form h1x2 + h2 y2x + h3 y2 produces a transverse cusp. The reflected wavefield is described by the Pearcey function. Transverse cusps were simulated by reflecting light from a surface of this form. [Work supported by ONR.]" @default.
- W1996742439 created "2016-06-24" @default.
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- W1996742439 date "1987-11-01" @default.
- W1996742439 modified "2023-09-24" @default.
- W1996742439 title "Transverse cusp caustics produced by reflection and transmission: The caustic surface and optical simulations" @default.
- W1996742439 doi "https://doi.org/10.1121/1.2024530" @default.
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