Three-dimensional Accelerating Electromagnetic Waves

Abstract

We present a general theory of three-dimensional nonparaxial 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.

16 pages, 6 figures

References in corpus (7)

• Self accelerating electron Airy beams
• Nonparaxial Mathieu and Weber accelerating beams
• Non-Paraxial Accelerating Beams
• Nondiffracting Accelerating Waves: Weber waves and parabolic momentum
• Sending femtosecond pulses in circles: highly non-paraxial accelerating beams
• Spherical fields as nonparaxial accelerating waves
• Sub-Wavelength Nonlinear Accelerating Beams

Cited by in corpus (9)

• Soliton pair generation in the interactions of Airy and nonlinear accelerating beams
• Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media
• Nonparaxial accelerating Bessel-like beams
• Observation of Accelerating Wave Packets in Curved Space
• Three-dimensional nonparaxial accelerating beams from the transverse Whittaker integral
• Coherent and incoherent nonparaxial self-accelerating Weber beams
• Vector Properties of Radially Self-Accelerating Beams
• Radially Self-Accelerating Optical Pulses
• Nonparaxial Near-nondiffracting Accelerating Optical Beams