Manipulation and control of 3-D caustic beams over an arbitrary trajectory

Gabriel Lasry, Timor Melamed, Yaniv Brick

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We present an algorithm for manipulating and controlling 3-D field patterns, with energy confined to the narrow vicinity of predefined 3-D trajectories in free-space, which are of arbitrary curvature and torsion. This is done by setting the aperture field's phase to form smooth caustic surfaces that include the desired trajectory. The aperture amplitude distribution is constructed to manipulate both the on-axis intensity profile and the off-axis beam-width, and is updated iteratively. Once the aperture distribution is calculated, the radiation from a finite sampled aperture is computed numerically using a Fast Fourier Transform-based scheme. This allows for both verification of the design and examination of its sensitivity to parameters of realistic discrete implementation. The algorithm is demonstrated for the cases of an Airy beam of a planar trajectory, as well as for helical and conical-helical trajectory beams.

Original languageEnglish
Pages (from-to)20645-20659
Number of pages15
JournalOptics Express
Issue number14
StatePublished - 6 Jul 2020

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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