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• W4384661395 endingPage "085012" @default.
• W4384661395 startingPage "085012" @default.
• W4384661395 abstract "Abstract The aim of the present work is to introduce two monochromatic solutions to the scalar wave equation in free space, characterized by a caustic with a singularity of the hyperbolic umbilical type. The first solution, is a superposition of half-Mathieu beams, and the second one, is a superposition of parabolic beams. Since these solutions are determined by two particular complete integrals of the eikonal equation in free space, we compute their geometrical wavefronts, the caustic regions, and the corresponding Poynting vectors. Finally, we remark that, under certain conditions, these solutions describe three-dimensional accelerating beams in free space, propagating along semielliptical and parabolic paths, respectively." @default.
• W4384661395 created "2023-07-20" @default.
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• W4384661395 date "2023-07-27" @default.
• W4384661395 modified "2023-09-23" @default.
• W4384661395 title "Superposition of nondiffracting beams characterized by a caustic of the hyperbolic umbilical type" @default.
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• W4384661395 doi "https://doi.org/10.1088/1402-4896/ace85b" @default.
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