English

Fresnel diffraction patterns as accelerating beams

Optics 2013-12-13 v1

Abstract

We demonstrate that beams originating from Fresnel diffraction patterns are self-accelerating in free space. In addition to accelerating and self-healing, they also exhibit parabolic deceleration property, which is in stark contrast to other accelerating beams. We find that the trajectory of Fresnel paraxial accelerating beams is similar to that of nonparaxial Weber beams. Decelerating and accelerating regions are separated by a critical propagation distance, at which no acceleration is present. During deceleration, the Fresnel diffraction beams undergo self-smoothing, in which oscillations of the diffracted waves gradually focus and smooth out at the critical distance.

Keywords

Cite

@article{arxiv.1312.3477,
  title  = {Fresnel diffraction patterns as accelerating beams},
  author = {Yiqi Zhang and Milivoj R. Belić and Huaibin Zheng and Zhenkun Wu and Yuanyuan Li and Keqing Lu and Yanpeng Zhang},
  journal= {arXiv preprint arXiv:1312.3477},
  year   = {2013}
}
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