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Recent studies have highlighted the sensitivity of active matter to boundaries and their geometries. Here we develop a general theory for the dynamics and statistics of active particles on curved surfaces and illustrate it on two examples.…

Soft Condensed Matter · Physics 2016-01-15 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

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

A generalized coordinate-independent expression for the evolution of light beam on curved space is derived.

Optics · Physics 2020-11-20 Ziqui Shao , Zhaoying Wang

Electron acceleration by relativistically intense laser beam propagating along a curved surface allows to split softly the accelerated electron bunch and the laser beam. The presence of a curved surface allows to switch an adiabatic…

Self-propelled particles can navigate complex environments, including viscous fluid interfaces with curved geometries. In this work, we study the emergent dynamics of a suspension of self-propelled particles confined to a stationary curved…

Fluid Dynamics · Physics 2026-04-17 Yuzhu Chen , Vishal P. Patil , David Saintillan

Elastic wave propagation is a century-old problem. Unlike on a flat manifold, analytical solution is not well established for a curved manifold. In this study we take a step towards building an analytical framework for solving the elastic…

Classical Physics · Physics 2019-11-26 Puskar Mondal , Subhajyoti Chaudhuri

The relativistic quantum-mechanical description of a charged Laguerre-Gauss beam accelerated in a uniform electric field has been fulfilled. Stationary wave eigenfunctions are rigorously derived. The evolution of the beam parameters during…

Accelerator Physics · Physics 2025-06-24 Qi Meng , Ziqiang Huang , Xuan Liu , Wei Ma , Zhen Yang , Liang Lu , Alexander J. Silenko , Pengming Zhang , Liping Zou

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

Space-time wave packets are diffraction-free, dispersion-free pulsed beams whose propagation-invariance stems from correlations introduced into their spatio-temporal spectrum. We demonstrate here experimentally and computationally that…

Optics · Physics 2018-12-31 H. Esat Kondakci , Ayman F. Abouraddy

We report a new form of compensating accelerating beam generated by amplitude modulation of the symmetric Airy beam (SAB) caustics with an exponential apodization mask. Our numerical study manifests that the compensating beam is with one…

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 employed caustic theory to analyze the propagation dynamics of partially coherent self-accelerating beams such as self-healing of partially coherent Airy beams. Our findings revealed that as the spatial coherence decreases, the…

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,…

Accelerating electrons are known to radiate electromagnetic waves, a property that is central to the concept of many devices, from antennas to synchrotrons. While the electrodynamics of accelerating charged particles is well understood, the…

We demonstrate that beams originating from Fresnel diffraction patterns are self-accelerating in free space. In addition to accelerating and self-healing, they also exhibit parabolic deceleration property, which is in stark contrast to…

We introduce the concept of spatial spectral phase gradient, and demonstrate, both theoretically and experimentally, how this concept could be employed for generating single- and multi-path self-accelerating beams. In particular, we show…

Optics · Physics 2015-06-16 Yi Hu , Domenico Bongiovanni , Zhigang Chen , Roberto Morandotti

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

Relativistic electromagnetic plasma waves are described by a dynamical equation that can be solved not only in terms of plane waves, but for several different accelerating wavepacket solutions. Depending on the spatial and temporal…

Plasma Physics · Physics 2024-05-22 Felipe A. Asenjo

It is well known that the trajectory of a light beam can curve if the medium in which the beam propagates is inhomogeneous or if the local spacetime is curved. In this paper we present a third possibility and show that a properly-prepared…

Optics · Physics 2021-11-02 J. M. Nichols , D. V. Nickel , F. Bucholtz

We developed an exact analytical treatment for space-charge waves within a relativistic electron beam in terms of (self-reproducing) propagating eigenmodes. This result is of obvious theoretical relevance as it constitutes one of the few…

Accelerator Physics · Physics 2009-11-10 Gianluca Geloni , Evgeni Saldin , Evgeni Schneidmiller , Mikhail Yurkov