English

Asymmetric conical diffraction in dislocated edge-centered square lattices

Optics 2019-05-31 v3

Abstract

We investigate linear and nonlinear evolution dynamics of light beams propagating along a dislocated edge-centered square lattice. The band structure and Brillouin zones of this novel lattice are analyzed analytically and numerically. Asymmetric Dirac cones as well as the corresponding Bloch modes of the lattice are obtained. By adopting the tight-binding approximation, we give an explanation of the asymmetry of Dirac cones. By utilizing the appropriate Bloch modes, linear and nonlinear asymmetric conical diffraction is demonstrated. We find that both the focusing and defocusing nonlinearities can enhance the asymmetry of the conical diffraction.

Keywords

Cite

@article{arxiv.1902.01051,
  title  = {Asymmetric conical diffraction in dislocated edge-centered square lattices},
  author = {Hua Zhong and Rong Wang and Milivoj R. Belic and Yanpeng Zhang and Yiqi Zhang},
  journal= {arXiv preprint arXiv:1902.01051},
  year   = {2019}
}

Comments

10 pages, 7 figures

R2 v1 2026-06-23T07:31:05.618Z