title: Three-dimensional accelerating electromagnetic waves.
abstract: We present a general theory of three-dimensional non-paraxial spatially-accelerating waves of the Maxwell equations. These waves constitute a two-dimensional structure exhibiting shape-invariant propagation along semicircular trajectories. We provide classification and characterization of possible shapes of such beams, expressed through the angular spectra of parabolic, oblate and prolate spheroidal fields. Our results facilitate the design of accelerating beams with novel structures, broadening scope and potential applications of accelerating beams.
authors.affiliation: Instituto Nacional de Astrofísica, Óptica y Electrónica Calle Luis Enrique Erro No. 1, Sta. Ma. Tonantzintla, Pue. CP 72840, Mexico. bandres@gmail.com
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Bandres
authors.forename: Miguel A
authors.initials: MA
authors.lastname: Alonso
authors.forename: Ido
authors.initials: I
authors.lastname: Kaminer
authors.forename: Mordechai
authors.initials: M
authors.lastname: Segev
mesh_terms: D000054:Acceleration; D003198:Computer Simulation; D004574:Electromagnetic Fields; D008962:Models, Theoretical; D012542:Scattering, Radiation