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The interaction of the two beams in a collider leads to a variety of effects that may limit the performance of the machine. This lecture introduces the basic aspects necessary to understand the design of modern colliders.

Accelerator Physics · Physics 2025-10-17 Xavier Buffat

A beam of light, reflected at a planar interface, does not follow perfectly the ray optics prediction. Diffractive corrections lead to beam shifts; either the reflected beam is displaced (spatial shift) and/or travels in a different…

Optics · Physics 2012-11-26 W. Löffler , Andrea Aiello , J. P. Woerdman

We demonstrate theoretically and experimentally coherence-induced polarization changes in generic and higher-order vector vortex beams with polarization singularity. The prominent depolarization on decreasing transverse correlation-width in…

Optics · Physics 2020-07-22 Stuti Joshi , Saba N Khan , Manisha , P Senthilkumaran , Bhaskar Kanseri

We theoretically investigate collision of optical beams travelling in opposite directions through a centrosymmetric photorefractive crystal biased by a spatially non-uniform voltage. We analytically predict the fusion of counterpropagating…

Optics · Physics 2015-05-13 A. Ciattoni , A. Marini , C. Rizza , E. DelRe

Nonlinear coherent modes are the collective states of trapped Bose atoms, corresponding to different energy levels. These modes can be created starting from the ground state condensate that can be excited by means of a resonant alternating…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

A self-focusing of a coasting relativistic beam in a plasma channel that is confined by an external magnetic field is studied as a means of reconditioning the beam emerging from a beam injector [a radio frequency quadrupole (RFQ)] for a…

Materials Science · Physics 2009-01-18 S. J. Han

The dynamics of the domains is studied in a two-dimensional model of the microphase separation of diblock copolymers in the vicinity of the transition. A criterion for the validity of the mean field theory is derived. It is shown that at…

Condensed Matter · Physics 2009-10-28 C. B. Muratov

The hierarchy of unstable modes when two counter-streaming pair plasmas interact over a flow-aligned magnetic field has been recently investigated [PoP \textbf{23}, 062122 (2016)]. The analysis is here extended to the case of an arbitrarily…

Plasma Physics · Physics 2017-06-28 Antoine Bret , Mark Eric Dieckmann

A BCS (Bardeen-Cooper-Schrieffer) superconductor, which is placed out of equilibrium, can develop quantum instabilities, which manifest themselves in oscillations of the superconductor's order parameter (pairing amplitude $\Delta$). These…

Superconductivity · Physics 2010-07-09 Eldad Bettelheim

We describe the resonant interaction of an atom with a strongly focused light beam by expanding the field in multipole waves. For a classical field, or when the field is described by a coherent state, we find that both intensity pattern and…

Quantum Physics · Physics 2009-11-10 S. J. van Enk

Longitudinal oscillations of bunched beams in synchrotrons have been analyzed by accelerator physicists for decades, and a closed theory is well-known [1]. The first modes of oscillation are the coherent dipole mode, quadrupole mode, and…

Accelerator Physics · Physics 2010-11-18 Harald Klingbeil , Dieter Lens , Monika Mehler , Bernhard Zipfel

Imposing defined spinning to a particle beam increases its stability against perturbations from space charge~[Y.-L.~Cheon et al., Effects of beam spinning on the fourth-order particle resonance of 3D bunched beams in high-intensity linear…

Accelerator Physics · Physics 2023-09-21 Chen Xiao , Lars Groening

Transverse beam stability is strongly affected by the beam space charge. Usually it is analyzed with the rigid-beam model. However this model is only valid when a bare (not affected by the space charge) tune spread is small compared to the…

Accelerator Physics · Physics 2009-04-08 Alexey Burov , Valeri Lebedev

The normal modes for three to seven particle two-dimensional (2D) dust clusters in a complex plasma are investigated using an N-body simulation. The ion wakefield downstream of each particle is shown to induce coupling between horizontal…

Plasma Physics · Physics 2014-06-25 Ke Qiao , Jie Kong , Eric Van Oeveren , Lorin S. Matthews , Truell W. Hyde

Electron beams in two-dimensional systems can provide a useful tool to study energy-momentum relaxation of electrons and to generate microwave radiation stemming from plasma-beam instabilities. Naturally, these two applications cannot…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Dmitry Svintsov

A possible alternative way of producing muons (or other unstable particles) for colliders is proposed. It consists in colliding beams in a "chasing beam" configuration, i.e. collisions of two beams having the same direction but with…

Accelerator Physics · Physics 2014-12-23 G. Mambriani , R. Coisson

A future Linear Collider is well suited for discovering physics beyond the Standard Model, for revealing the structure of the underlying physics as well as for performing high precision tests of the Standard Model. The use of polarised…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gudrid Moortgat-Pick

We consider a mixture of single-component bosonic and fermionic atoms in an array of coupled one-dimensional "tubes". For an attractive Bose-Fermi interaction, we show that the system exhibits phase separation instead of the usual collapse.…

Other Condensed Matter · Physics 2009-09-05 F. M. Marchetti , Th. Jolicoeur , M. M. Parish

Two-photon optical transitions combined with long-range dipole-dipole interactions can be used for the coherent manipulation of collective metastable states composed of different atoms. We show that it is possible to induce optical…

Quantum Physics · Physics 2007-05-23 M. D. Lukin , P. R. Hemmer

Spatio-spectral properties of twin beams at their transition from low to high intensities are analyzed in parametric and paraxial approximations using the decomposition into paired spatial and spectral modes. Intensity auto- and…

Quantum Physics · Physics 2016-01-05 Jan Perina