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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

Beam instabilities and resonances affect the transverse dynamics in particle accelerators and, when encountered, can trigger emittance growth and beam loss. Resonance lines originate from non linear elements and effects in the lattice,…

Accelerator Physics · Physics 2025-09-10 Onur Gilanliogullari , Brahim Mustapha , Pavel Snopok

In this paper, we present an analytical modeling technique for circularly symmetric piezoelectric transducers, also called as Fresnel Lens. We also present the design of a flat/piston transducer that can generate unique acoustic wave…

Applied Physics · Physics 2019-07-23 Kapil Dev , Vibhu Vivek , Babur Hadimioglu , Yehia Massoud

The consideration of transverse dynamics of relativistic space-charge dominated beams and halo growth due to bunch oscillations is based on variational approach to rational (in dynamical variables) approximation for rms envelope equations.…

Accelerator Physics · Physics 2007-05-23 Antonina N. Fedorova , Michael G. Zeitlin

This paper describes the partial wave expansion and integral representation of Bessel beams in free space and in the presence of dispersion. The expansion of the Bessel beam wavepacket with constant spectrum is obtained as well.…

Mathematical Physics · Physics 2011-04-06 Amer Hodzic

The present work introduces a family of beam models derived from a three-dimensional higher-order elasticity framework. By incorporating three kinematic fields - the macroscopic displacement u, the micro-distortion tensor P, and the…

Analysis of PDEs · Mathematics 2025-07-18 Mewen Crespo , Casale Guy , Loïc Le Marrec , Patrizio Neff

Metasurfaces with linear phase gradients can redirect light beams. We propose controlling both phase and amplitude of a metasurface to extend Snell's law to the realm of complex angles, enabling a non-decaying transmission through opaque…

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…

Flying-focus wakefields, which can propagate with a tunable velocity along the optical axis, are promising solutions to electron dephasing in laser-wakefield accelerators. This is accomplished by a combination of spatio-temporal couplings…

Plasma Physics · Physics 2025-10-21 Aaron Liberman , Anton Golovanov , Sheroy Tata , Anda-Maria Talposi , Victor Malka

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

New forms of electron beams have been intensively investigated recently, including vortex beams carrying orbital angular momentum, as well as Airy beams propagating along a parabolic trajectory. Their traits may be harnessed for…

Boussinesq systems of nonlinear partial differential equations are fundamental equations in geophysical fluid dynamics. In this paper, we use asymmetric ideas and moving frames to solve the two-dimensional Boussinesq equations with partial…

Fluid Dynamics · Physics 2008-07-01 Xiaoping Xu

We have considered the paraxial vector erf-Gaussian beams with field distribution in the form of the error function that are shaped by the cone of plane waves with a fractional step of the azimuthal phase distribution modulated by the…

Optics · Physics 2015-06-03 T. Fadeyeva , C. Alexeyev , A. Rubass , A. Volyar

The Fresnel-Fizeau effect of transverse drag, in which the trajectory of a light beam changes due to transverse motion of the optical medium, is usually extremely small and hard to detect. We observe transverse drag in a moving hot-vapor…

We extend earlier work on traveling waves in premixed flames in a gravitationally stratified medium, subject to the Boussinesq approximation. For three-dimensional channels not aligned with the gravity direction and under the Dirichlet…

Analysis of PDEs · Mathematics 2015-05-13 Marta Lewicka , Piotr B. Mucha

We investigate the dynamics of spatiotemporal optical waves with one transverse dimension that are obtained as the intersections of the dispersion cone with a plane. We show that, by appropriate spectral excitations, the three different…

Optics · Physics 2018-02-14 Nikolaos K. Efremidis

We consider an inverse scattering problem to identify the locations or shapes of unknown anomalies from scattering parameter data collected by a small number of dipole antennas. Most of researches does not considered the influence of dipole…

Numerical Analysis · Mathematics 2018-09-18 Won-Kwang Park

A recent large deflection cantilever model is considered. The principal nonlinear effects come through the beam's inextensibility---local arc length preservation---rather than traditional extensible effects attributed to fully restricted…

Analysis of PDEs · Mathematics 2019-10-16 Maria Deliyianni , Varun Gudibanda , Jason Howell , Justin T. Webster

A non-relativistic, charged-particle beam is placed into a crossed magnetic field. For such a system, the nonlinear electrostatic oscillations generation in the different degrees of the beam freedom may be triggered by the energy/momentum…

Plasma Physics · Physics 2019-07-03 A. R. Karimov , A. M. Bulygin , P. A. Murad

A three-dimensional, steady, laminar shear-layer flow spatially developing under a boundary-layer approximation with mixing, chemical reaction, and imposed normal strain is analyzed. The imposed strain creates a counterflow that stretches…

Fluid Dynamics · Physics 2022-12-14 Jonathan L. Palafoutas , William A. Sirignano
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