English

Effective pair-interaction of phase singularities in random waves

Optics 2021-06-04 v1 Computational Physics

Abstract

In two-dimensional random waves, phase singularities are point-like dislocations with a behavior reminiscent of interacting particles. This -- qualitative -- consideration, stems from the spatial arrangement of these entities, which finds its hallmark in a pair correlation reminiscent of liquid-like system. Starting from their pair correlation function, we derive an effective pair-interaction for phase singularities in random waves by using a reverse Monte Carlo method. This study initiates a new approach for the treatment of singularities in random waves and can be generalized to topological defects in any system.

Keywords

Cite

@article{arxiv.2106.01705,
  title  = {Effective pair-interaction of phase singularities in random waves},
  author = {L. De Angelis and L. Kuipers},
  journal= {arXiv preprint arXiv:2106.01705},
  year   = {2021}
}
R2 v1 2026-06-24T02:47:14.471Z