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We present a general theory of three-dimensional nonparaxial spatially-accelerating waves of the Maxwell equations. These waves constitute a two-dimensional structure exhibiting shape-invariant propagation along semicircular trajectories.…

Optics · Physics 2014-02-14 Miguel A. Bandres , Miguel A. Alonso , Ido Kaminer , Mordechai Segev

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 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 present the spatially accelerating solutions of the Maxwell equations. Such non-paraxial beams accelerate in a circular trajectory, thus generalizing the concept of Airy beams. For both TE and TM polarizations, the beams exhibit…

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

Spatially accelerating beams that are solutions to the Maxwell equations may propagate along incomplete circular trajectories, after which diffraction broadening takes over and the beams spread out. Taking these truncated Bessel wave fields…

Optics · Physics 2015-06-18 Carlos J. Zapata-Rodriguez , Mahin Naserpour

We use caustic beam shaping on 100 fs pulses to experimentally generate non-paraxial accelerating beams along a 60 degree circular arc, moving laterally by 14 \mum over a 28 \mum propagation length. This is the highest degree of transverse…

A new class of nonparaxial accelerating optical waves is introduced. These are beams with a Bessel-like profile that are capable of shifting laterally along fairly arbitrary trajectories as the wave propagates in free space. The concept…

Optics · Physics 2015-06-17 Ioannis D. Chremmos , Nikolaos K. Efremidis

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…

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 present several closed-form expressions of useful mass distributions. These include the potentials and accelerations of circular rings and arcs, the potentials of uniform density rings and arcs at arbitrary eccentricities, and the…

Earth and Planetary Astrophysics · Physics 2025-12-19 Zachary Murray

We predict and experimentally observe three-dimensional microscale nonparaxial optical bottle beams based on the generation of a caustic surface under revolution. Such bottle beams exhibit high contrast between the surrounding surface and…

We show that new families of accelerating and almost nondiffracting beams (solutions) for Maxwell's equations can be constructed. These are complex geometrical optics (CGO) solutions to Maxwell's equations with nonlinear limiting Carleman…

Analysis of PDEs · Mathematics 2017-03-08 Ru-Yu Lai , Ting Zhou

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 present a general concept to accelerate non-relativistic charged particles. Our concept employs an adiabatically-tapered dielectric-lined waveguide which supports accelerating phase velocities for synchronous acceleration. We propose an…

Accelerator Physics · Physics 2018-05-30 Francois Lemery , Klaus Floettmann , Philippe Piot , Franz X. Kaertner , Ralph Assmann

Exact closed-form solutions to Maxwell's equations are used to investigate electron acceleration driven by radially polarized laser beams in the nonparaxial and ultrashort pulse regime. Besides allowing for higher energy gains, such beams…

Accelerator Physics · Physics 2015-06-12 Vincent Marceau , Alexandre April , Michel Piché

We propose and demonstrate the effectual generation and control of nonparaxial self-accelerating beams by using UV-resin pendant droplets. We show that the geometrical shape of the hanging droplets formed as a result of the interplay…

Optics · Physics 2022-11-24 Qiyue Zhang , Peng Zhang , Huizhong Xu , Weining Man , Zhigang Chen

We introduce nonparaxial spatially accelerating waves whose two-dimensional transverse profiles propagate along semicircular trajectories while approximately preserving their shape. We derive these waves by considering imaginary…

Optics · Physics 2015-03-13 Miguel A. Alonso , Miguel A. Bandres

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 present shape-preserving spatially accelerating electromagnetic wavepackets in curved space: wavepackets propagating along non-geodesic trajectories while recovering their structure periodically. These wavepackets are solutions to the…

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