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Airy beams are known for displaying shape invariance and self-acceleration along the transverse direction while they propagate forwards. Although these properties could be associated with the beam coherence, it has been revealed that they…

Quantum Physics · Physics 2022-11-17 R. Martínez-Herrero , A. S. Sanz

An appropriate design of wavefront will enable light fields propagating along arbitrary trajectories thus forming accelerating beams in free space. Previous ways of designing such accelerating beams mainly rely on caustic methods, which…

Optics · Physics 2017-02-22 Yuanhui Wen , Yujie Chen , Yanfeng Zhang , Hui Chen , Siyuan Yu

We show that it is possible to independently control both the trajectory and the maximum amplitude along the trajectory of a paraxial accelerating beam. This is accomplished by carefully engineering both the amplitude and the phase of the…

Optics · Physics 2018-06-18 Michael Goutsoulas , Nikolaos K. Efremidis

We demonstrate both theoretically and experimentally nonparaxial Mathieu and Weber accelerating beams, generalizing the concept of previously found accelerating beams. We show that such beams bend into large angles along circular,…

We present an extremely simple method for designing self-accelerating non-diffracting beams having arbitrary trajectories while their intensity, width and orbital angular momentum are modulated in a prescribed way along their propagation.…

Optics · Physics 2023-07-19 Keren Zhalenchuck , Alon Bahabad

Over the last dozen of years, the area of accelerating waves has made considerable advances not only in terms of fundamentals and experimental demonstrations but also in connection to a wide range of applications. Starting from the…

We report the first experimental generation and observation of Airy beams of free electrons. The electron Airy beams are generated by diffraction of electrons through a nanoscale hologram, that imprints a cubic phase modulation on the…

Optics · Physics 2013-06-06 Noa Voloch-Bloch , Yossi Lereah , Yigal Lilach , Avraham Gover , Ady Arie

Optical beams with certain asymmetric profiles, such as the Airy beam, can depart from rectilinear propagation and instead travel along curved (typically parabolic) trajectories. Here we show that sculpting the spatiotemporal spectrum of…

Optics · Physics 2025-09-03 Layton A. Hall , Ayman F. Abouraddy

We demonstrate the generation of self-accelerating surface plasmon beams along arbitrary caustic curvatures. These plasmonic beams are excited by free-space beams through a two-dimensional binary plasmonic phase mask, which provides the…

Optics · Physics 2015-06-17 Itai Epstein , Ady Arie

We report the observation of arbitrary accelerating beams designed using a non-paraxial description of optical caustics. We use a spatial light modulator-based setup and techniques of Fourier optics to generate circular and Weber beams…

Optics · Physics 2016-04-13 A. Mathis , F. Courvoisier , R. Giust , L. Furfaro , M. Jacquot , L. Froehly , J. M. Dudley

We show that it is possible to generate non-paraxial optical beams with pre-engineered trajectories and designed maximum amplitude along these trajectories. The independent control of these two degrees of freedom is made possible by…

Characterizing the phase space distribution of particle beams in accelerators is a central part of accelerator understanding and performance optimization. However, conventional reconstruction-based techniques either use simplifying…

Phase-space partitioning offers an attractive path for the precise tailoring of complex dynamical systems. In Beam Physics, the proposed approach involves (i) producing beams with cross-plane correlations to control kinematical invariants…

Accelerator Physics · Physics 2021-12-01 Tianzhe Xu , Scott Doran , Wanming Liu , Philippe Piot , John Power , Charles Whiteford , Eric Wisniewski

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

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

We present the first experimental observation of accelerating beams in curved space. More specifically, we demonstrate, experimentally and theoretically, shape-preserving accelerating beams propagating on spherical surfaces: closed-form…

Accelerating Airy beams, known for their non-diffracting nature, self-healing properties, and curved propagation trajectories, are solutions to the paraxial wave equation. In this work, we theoretically and experimentally investigate…

Optics · Physics 2025-01-14 Justas Berškys , Paulius Šlevas , Sergej Orlov

Conventional caustic methods in real or Fourier space produced accelerating optical beams only with convex trajectories. We develop a superposition caustic method capable of winding light beams along non-convex trajectories. We ascertain…

Optics · Physics 2016-08-03 Yuanhui Wen , Yujie Chen , Yanfeng Zhang , Hui Chen , Siyuan Yu

We investigate three-dimensional nonparaxial linear accelerating beams arising from the transverse Whittaker integral. They include different Mathieu, Weber, and Fresnel beams, among other. These beams accelerate along a semicircular…

Airy beams are solutions to the paraxial Helmholtz equation known for exhibiting shape invariance along their self-accelerated propagation in free space. These two properties are associated with the fact that they are not square integrable,…

Optics · Physics 2022-11-09 A. S. Sanz
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