Lecture

Linear Beam Dynamics

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In course

PHYS-751: Advanced concepts in particle accelerators

Accelerator physics covers a wide range of very exciting topics. This course presents basic physics ideas and the technologies underlying the workings of modern accelerators. An overview of the new ideas and challenges of the possible paths towards the nex ...

Description

This lecture covers the Hamiltonian formalism for particles in phase space, the paraxial approximation, linear equations, Courant-Snyder parametrization, optical functions, and the concept of phase space ellipse. It also discusses the solutions of the Hill equation, the Courant-Snyder parameters, and the dispersion function. The instructor explains the impact of off-momentum particles, dipole magnet Hamiltonian, chromaticity, and the correction of chromatic effects using sextupole magnets. The lecture emphasizes the importance of understanding the phase space, beam optics, and the role of different elements in accelerator physics.

Instructors (3)

Tatiana Pieloni

Expertise Beam dynamics in accelerators.Colliders luminosity and beam-beam interactions.Collective effects. Teaching & PhD PhD Students Yi Wu, Lode Vanhecke Past EPFL PhD Students as codirector Xavier Buffat, Claudia Tambasco Courses Advanced concepts in particle accelerators PHYS-751 Accelerator physics covers a wide range of very exciting topics. This course presents basic physics ideas and the technologies underlying the workings of modern accelerators. An overview of the new ideas and

Rasmus Ischebeck

Teaching & PhD PhD Students Maria Paula Rey Barrera, Raziyeh Dadashi Motlagh, Evan James Ericson Past EPFL PhD Students as codirector Bennie Smit, Ishkhan Gorgisyan

Werner Friedrich Herr

Teaching & PhD Courses Advanced concepts in particle accelerators PHYS-751 Accelerator physics covers a wide range of very exciting topics. This course presents basic physics ideas and the technologies underlying the workings of modern accelerators. An overview of the new ideas and challenges of the possible paths towards the next generation of accelerators will be given.

Official source

Related concepts (29)

Accelerator physics

Accelerator physics is a branch of applied physics, concerned with designing, building and operating particle accelerators. As such, it can be described as the study of motion, manipulation and observation of relativistic charged particle beams and their interaction with accelerator structures by electromagnetic fields. It is also related to other fields: Microwave engineering (for acceleration/deflection structures in the radio frequency range). Optics with an emphasis on geometrical optics (beam focusing and bending) and laser physics (laser-particle interaction).

Particle accelerator

A particle accelerator is a machine that uses electromagnetic fields to propel charged particles to very high speeds and energies, and to contain them in well-defined beams. Large accelerators are used for fundamental research in particle physics. The largest accelerator currently active is the Large Hadron Collider (LHC) near Geneva, Switzerland, operated by the CERN. It is a collider accelerator, which can accelerate two beams of protons to an energy of 6.5 TeV and cause them to collide head-on, creating center-of-mass energies of 13 TeV.

Storage ring

A storage ring is a type of circular particle accelerator in which a continuous or pulsed particle beam may be kept circulating typically for many hours. Storage of a particular particle depends upon the mass, momentum and usually the charge of the particle to be stored. Storage rings most commonly store electrons, positrons, or protons. Storage rings are most often used to store electrons that radiate synchrotron radiation. Over 50 facilities based on electron storage rings exist and are used for a variety of studies in chemistry and biology.

Linear particle accelerator

A linear particle accelerator (often shortened to linac) is a type of particle accelerator that accelerates charged subatomic particles or ions to a high speed by subjecting them to a series of oscillating electric potentials along a linear beamline. The principles for such machines were proposed by Gustav Ising in 1924, while the first machine that worked was constructed by Rolf Widerøe in 1928 at the RWTH Aachen University.

Phase-space formulation

The phase-space formulation of quantum mechanics places the position and momentum variables on equal footing in phase space. In contrast, the Schrödinger picture uses the position or momentum representations (see also position and momentum space). The two key features of the phase-space formulation are that the quantum state is described by a quasiprobability distribution (instead of a wave function, state vector, or density matrix) and operator multiplication is replaced by a star product.

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