Period-reversal accelerating self-imaging and multi-beams interference based on accelerating beams in parabolic optical potentials

Optics Express
Kaiyun ZhanBing Liu

Abstract

Linear dynamics of an accelerating wave packet, which is produced by adding shifted copies of the fundamental Airy beam, due to parabolic optical potentials are investigated. A new type of self-imaging phenomenon, referred to as period-reversal accelerating self-imaging, is demonstrated theoretically and numerically. Unlike ordinary Talbot effects, where optical field pattern reappears at constant intervals and follows a straight line, here, the field pattern of this new self-imaging effect propagating along a periodic oscillating trajectory, can self-reproduces itself at nonconstant intervals, and begins to invert after the phase transition points, where the superposition of fundamental Airy beams forms multi-beams interference fringes. A completely spatially reversal replica of the initial field distribution is observed at odd multiplies of the period halves. Moreover, the properties of the multi-beams interference fringes are discussed in detail and can be used for the measurement of the system parameter. The above results can be generalized in the case of two transverse dimensions, where it can be treated as a product of two independent one-dimensional cases. The theoretical calculations and numerical simulations verify eac...Continue Reading

References

Aug 11, 2005·Physical Review Letters·Robert IwanowWolfgang Sohler
Mar 22, 2007·Optics Letters·Georgios A Siviloglou, Demetrios N Christodoulides
Feb 1, 2008·Physical Review Letters·G A SiviloglouD N Christodoulides
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May 21, 2010·Physical Review Letters·Yong ZhangMin Xiao
Aug 3, 2011·Optics Letters·Nikolaos K Efremidis
Aug 16, 2011·Physical Review Letters·Xin-Bing SongLing-An Wu
Jul 17, 2015·Physical Review Letters·Yaakov LumerMordechai Segev
Dec 17, 2015·Optics Letters·Yiqi ZhangMin Xiao
May 4, 2016·Optics Express·Hua ZhongYanpeng Zhang

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