Symmetric form-invariant dual Pearcey beams.

We introduce another type of Pearcey beam, namely, dual Pearcey (DP) beams, based on the Pearcey function of catastrophe theory. DP beams are experimentally generated by applying Fresnel diffraction of bright elliptic rings. Form-invariant Bessel distribution beams can be regarded as a special case of DP beams. Subsequently, the basic propagation characteristics of DP beams are identified. DP beams are the result of the interference of two half DP beams instead of two classical Pearcey beams. Moreover, we also verified that half DP beams (including special-case parabolic-like beams) generated by half elliptical rings (circular rings) are a new member of the family of form-invariant beams.

[1]  K. Rothschild.  Natural Focusing And Fine Structure Of Light Caustics And Wave Dislocations , 2016 .

[2]  Ren Zhijun,et al.  Generation of a family of Pearcey beams based on Fresnel diffraction catastrophes , 2015 .

[3]  S. G. Zaskanov,et al.  Half Pearcey laser beams , 2015 .

[4]  M. D. Iturbe Castillo,et al.  New asymmetric propagation invariant beams obtained by amplitude and phase modulation in frequency space , 2014, Journal of modern optics.

[5]  D. Deng,et al.  Virtual source of a Pearcey beam. , 2014, Optics letters.

[6]  David D Sampson,et al.  Energy-efficient low-Fresnel-number Bessel beams and their application in optical coherence tomography. , 2014, Optics letters.

[7]  Liangwei Dong,et al.  Generation of optical accelerating regular triple-cusp beams and their topological structures. , 2012, Optics express.

[8]  Mark R. Dennis,et al.  Auto-focusing and self-healing of Pearcey beams. , 2012, Optics express.

[9]  Mordechai Segev,et al.  Nondiffracting accelerating wave packets of Maxwell's equations. , 2012, Physical review letters.

[10]  Wiktor Walasik,et al.  Accelerating light beams along arbitrary convex trajectories. , 2011, Physical review letters.

[11]  Jeffrey A. Davis,et al.  Direct generation of accelerating Airy beams using a 3/2 phase-only pattern. , 2009, Optics letters.

[12]  J. Nye.  Diffraction in lips and beak-to-beak caustics , 2009 .

[13]  A Dogariu,et al.  Observation of accelerating Airy beams. , 2007, Physical review letters.

[14]  M. Bandres,et al.  Observation of parabolic nondiffracting optical fields. , 2005, Optics express.

[15]  Sabino Chávez-Cerda,et al.  Parabolic nondiffracting optical wave fields. , 2004, Optics letters.

[16]  John F Nye,et al.  Evolution from a Fraunhofer to a Pearcey diffraction pattern , 2003 .

[17]  G. Pierattini,et al.  Axially symmetric hollow beams using refractive conical lenses , 2003 .

[18]  M. D. Angelisa,et al.  Axially symmetric hollow beams using refractive conical lenses , 2002 .

[19]  Ari T. Friberg,et al.  NONDIFFRACTING BULK-ACOUSTIC X WAVES IN CRYSTALS , 1999 .

[20]  Michael V Berry,et al.  Rays, wavefronts and phase: a picture book of cusps , 1992 .

[21]  Miceli,et al.  Diffraction-free beams. , 1987, Physical review letters.

[22]  Herwig Kogelnik,et al.  Laser beams and resonators , 1966 .

[23]  T. Pearcey,et al.  XXXI. The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic , 1946 .