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Superposition of nondiffracting beams characterized by a caustic of the hyperbolic umbilical type

Julián-Macías, Israel ; Martínez-Niconoff, Gabriel ; Silva-Ortigoza, Gilberto ; Espíndola-Ramos, Ernesto

Physica scripta, 2023-08, Vol.98 (8), p.85012 [Revista revisada por pares]

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Título:
Superposition of nondiffracting beams characterized by a caustic of the hyperbolic umbilical type
Autor: Julián-Macías, Israel ; Martínez-Niconoff, Gabriel ; Silva-Ortigoza, Gilberto ; Espíndola-Ramos, Ernesto
Materias: accelerating beams ; geometrical optics ; nondiffracting beams
Es parte de: Physica scripta, 2023-08, Vol.98 (8), p.85012
Notas: PHYSSCR-122171.R1
Descripción: 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.
Editor: IOP Publishing
Idioma: Inglés

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