Course

PHYS-751: Advanced concepts in particle accelerators

Lectures in this course (23)

Explores particle accelerator dynamics, transfer maps, Hamiltonian equations, and phase space conservation.

Linear Dynamics: Hamiltonians and Machine Elements

Explores Hamiltonians for machine elements, focusing on drift space, magnets, and linear maps.

Covers the Hamiltonian formalism, linear equations, Courant-Snyder parametrization, and chromatic effects in accelerator physics.

Longitudinal dynamics, non-linear dynamics

Explores longitudinal dynamics, energy gain, resonance conditions, and chaotic behavior in particle accelerators.

Beam Dynamics: Orbits and Emittance

Explores reference, design, and closed orbits, as well as emittance and beam size in particle accelerators.

Synchrotron Radiation

Covers the properties of synchrotron radiation, including its emission by relativistic particles and its effect on the beam through radiation damping.

Recap from classical mechanics and accelerator physics

Covers the recap of classical mechanics and accelerator physics, focusing on beam size, emittance, divergence, and correlation.

Damping of the vertical emittance

Covers the impact of synchrotron radiation on the beam and the exponential decay of the emittance.

Accelerator Technology and Instrumentation

Explores advanced concepts in particle accelerators, including magnets, novel techniques, instrumentation, optimization, diagnostics, safety measures, storage rings, and synchrotron light monitors.

Dielectric Laser Accelerators

Explores dielectric laser accelerators, covering Lawson-Woodward Theorem, accelerating structures, waveguides, laser-driven acceleration, and first experiments at SLAC.

Collective Effects: Basics and Mitigation

Explores collective effects in accelerators, discussing instabilities, mitigation techniques, and impedance reduction.

Luminosity and beam-beam effects

Explores circular accelerators, colliders, luminosity calculation, beam-beam forces, different collisions, and the LHC luminosity reach, emphasizing the effects of beam-beam interactions.

Non-linear dynamics

Explores practical applications in nonlinear dynamics, emphasizing symplectic integration methods and thin lens approximations for accurate computations in accelerator physics.

Non-linear dynamics: phenomenology, tools and methods

Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.

Free electron lasers

Explores free electron lasers, covering light sources, brilliance, X-ray sources, FEL modes, and electron beam requirements.

Plasma accelerators

Explores plasma accelerators, focusing on high accelerating fields using plasma wakes, experimental results, and challenges in achieving high beam quality.

Landau damping

Explores Landau damping in plasma physics and accelerator beam stability, covering historical context, theoretical treatments, and practical applications.

Present Challenges in Accelerator Physics

Covers the current challenges in accelerator physics, main issues, research on applications, modeling, and conferences.

Beam Shaping: Advanced Concepts in Particle Accelerators

Explores advanced beam shaping techniques in particle accelerators, focusing on control and optimization.

Applications of AI

Explores advanced concepts in particle accelerators and their applications of artificial intelligence, including machine learning libraries and anomaly detection.

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