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Related papers: Dual accelerating Airy-Talbot recurrence effect

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We shortly recall the mathematical and physical aspects of Talbot's self-imaging effect occurring in near-field diffraction. In the rational paraxial approximation, the Talbot images are formed at distances z=p/q, where p and q are…

Optics · Physics 2007-05-23 H. C. Rosu , J. P. Trevino , H. Cabrera , J. S. Murguia

Dispersion management of periodically alternating fiber sections with opposite signs of two leading dispersion terms is applied for the regeneration of self-accelerating truncated Airy pulses. It is demonstrated that for such a dispersion…

Optics · Physics 2015-06-19 R. Driben , T. Meier

The Talbot effect describes periodic revivals of field patterns and is ubiquitous across wave systems. In optics, it is mostly known for its manifestations in space and time, but is also observed in the wavevector and frequency spectra…

Optics · Physics 2024-02-26 Jianqi Hu , Matias Eriksson , Sylvain Gigan , Robert Fickler

All known realizations of optical wave packets that accelerate along their propagation axis, such as Airy wave packets in dispersive media or wave-front-modulated X-waves, exhibit a constant acceleration; that is, the group velocity varies…

Optics · Physics 2022-02-03 Layton A. Hall , Murat Yessenov , Ayman F. Abouraddy

Airy beams, celebrated for their self-acceleration, diffraction-free propagation, and self-healing properties, have garnered significant interest in optics and photonics, with applications spanning ultrafast optics, laser processing,…

Optics · Physics 2025-06-09 Zhaofeng Huang , Xiaolin Su , Qian Cao , Andy Chong , Qiwen Zhan

The Talbot effect, i.e. the self-imaging property of a periodic wave in near-field diffraction, is a remarkable interference phenomenon in paraxial systems with continuous translational invariance. In crystals, i.e. systems with discrete…

Quantum Physics · Physics 2015-06-23 Stefano Longhi

The self-imaging, or Talbot Effect, that occurs with the propagation of periodically structured waves has enabled several unique applications in optical metrology, image processing, data transmission, and matter-wave interferometry. In this…

In next-generation wireless networks, the combination of electrically large radiating apertures and high-frequency transmission extends the radiating near-field region around the transmitter. In this region, unlike in the far field, the…

Signal Processing · Electrical Eng. & Systems 2025-08-20 Donatella Darsena , Francesco Verde , Marco Di Renzo , Vincenzo Galdi

In this work we study the natural focusing of Airy beams symmetric under reflection of the transverse coordinates. Following a recent proposal, their angular spectra depend on the absolute value of the third power of the transverse…

Optics · Physics 2014-07-29 R. Jauregui , P. A. Quinto-Su

We investigate, through simulation, the modifications to Bessel and Airy beams during propagation through atmospheric turbulence. We find that atmospheric turbulence disrupts the quasi-non-diffracting nature of Bessel and Airy beams when…

Optics · Physics 2015-06-18 W. Nelson , J. P. Palastro , C. C. Davis , P. Sprangle

Ultra-broadband hyperbolic Airy beams are experimentally realized and spatio-temporally characterized. Transmissive (refractive) and reflective cubic phase elements were used to impose a cubic phase on the input beam. Nondispersing beams…

Optics · Physics 2018-08-29 Andreas Valdmann , Peeter Piksarv , Heli Valtna-Lukner , Peeter Saari

A well-known phenomenon in both optics and quantum mechanics is the so-called Talbot effect. This near field interference effect arises when infinitely periodic diffracting structures or gratings are illuminated by highly coherent light or…

Quantum Physics · Physics 2007-06-19 A. S. Sanz , S. Miret-Artes

We generalise the concept of radially self-accelerating beams, to the domain of optical pulses. In particular, we show, how radially self-accelerating optical pulses (RSAPs) can be constructed by suitable superpositions of X-waves, which…

Optics · Physics 2019-03-06 Marco Ornigotti , Alexander Szameit

In this letter, we introduce a new class of light beam, the circular symmetric Airy beam (CSAB), which arises from the extensions of the one dimensional (1D) spectrum of Airy beam from rectangular coordinates to cylindrical ones. The CSAB…

Optics · Physics 2020-02-10 Chuangjie Xu

Airy waves, known for their non-diffracting and self-accelerating properties, have been extensively studied in spatial and temporal domains, but their spatiotemporal (ST) counterparts remain largely unexplored. We report the first…

Optics · Physics 2025-04-02 Xiaolin Su , Andy Chong , Qian Cao , Qiwen Zhan

Accelerating beams are wave packets which appear to spontaneously accelerate without external potentials or applied forces. Since their first physical realisation in the form of Airy beams, they have found applications on various platforms,…

Quantum Gases · Physics 2020-07-01 David Colas , Fabrice P. Laussy , Matthew J. Davis

We experimentally demonstrate the Talbot effect resulting from the repeated self-reconstruction of a spatially intensity-modulated probe field under the Fresnel near-field regime. By launching the probe beam into an optically induced atomic…

We report on a simple experimental scheme based on a pair of cylindrical lenses (convex and concave) of same focal length and common optical elements producing high power optical beams in 1D and/or 2D Airy intensity profiles with laser…

Optics · Physics 2018-08-29 Raghwinder S. Grewal , Anirban Ghosh , G. K. Samanta

The temporal Talbot effect refers to the periodic self-imaging of pulse trains in optical fibers. The connection between the linear and nonlinear temporal Talbot effect is still not fully understood. To address this challenge, we use…

Optics · Physics 2024-06-25 Marina Zajnulina , Michael Böhm

Nearly two centuries ago Talbot first observed the fascinating effect whereby light propagating through a periodic structure generates a `carpet' of image revivals in the near field. Here we report the first observation of the spatial…

Atomic Physics · Physics 2018-02-01 Y. Zhai , C. H. Carson , V. A. Henderson , P. F. Griffin , E. Riis , A. S. Arnold