English

Three-dimensional Accelerating Electromagnetic Waves

Optics 2014-02-14 v1 Mesoscale and Nanoscale Physics Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1303.6320,
  title  = {Three-dimensional Accelerating Electromagnetic Waves},
  author = {Miguel A. Bandres and Miguel A. Alonso and Ido Kaminer and Mordechai Segev},
  journal= {arXiv preprint arXiv:1303.6320},
  year   = {2014}
}

Comments

16 pages, 6 figures

R2 v1 2026-06-21T23:48:05.514Z