Abruptly autofocusing and autodefocusing optical beams with arbitrary caustics

Ioannis D. Chremmos, Zhigang Chen, Demetrios N. Christodoulides, and Nikolaos K. Efremidis
Phys. Rev. A 85, 023828 – Published 22 February 2012

Abstract

We propose a simple yet efficient method for generating abruptly autofocusing optical beams with arbitrary caustics. In addition, we introduce a family of abruptly autodefocusing beams whose maximum intensity suddenly decreases by orders of magnitude right after the target. The method relies on appropriately modulating the phase of a circularly symmetric optical wavefront, such as that of a Gaussian, and subsequently on Fourier-transforming it by means of a lens. If two such beams are superimposed in a Bessel-like standing wave pattern, then a complete mirror-symmetric, with respect to the focal plane, caustic surface of revolution is formed that can be used as an optical bottle. We also show how the same method can be used to produce accelerating 1D or 2D optical beams with arbitrary convex caustics.

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  • Received 10 November 2011

DOI:https://doi.org/10.1103/PhysRevA.85.023828

©2012 American Physical Society

Authors & Affiliations

Ioannis D. Chremmos1,*, Zhigang Chen2, Demetrios N. Christodoulides3, and Nikolaos K. Efremidis1

  • 1Department of Applied Mathematics, University of Crete, Heraklion 71409, Crete, Greece
  • 2Department of Physics and Astronomy, San Francisco State University, San Francisco, California 94132 USA
  • 3CREOL/College of Optics, University of Central Florida, Orlando, Florida 32816 USA

  • *jochremm@central.ntua.gr

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Vol. 85, Iss. 2 — February 2012

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