Syllabus

(7 hrs) Introduction to Accelerator Physics
Particle accelerator systems, Definitions and formulas, primer on special relativity, principles of particle-beam dynamics, principles of linear accelerators: charged particles in electric field, electric field components, circular accelerators: betatron, acceleration by RF fields.

(8 hrs) Tools to build accelerators
Particle dynamics in Electro-magnetic fields, Beam dynamics: single particle dynamics, particles beams and phase space, longitudinal beam dynamics, periodic focusing systems, Beam Parameters:particle beam parameters, Vlasov and Fokker-Planck equations, Equilibrium particle distribution, beam emittance and lattice design.

(7 hrs) Perturbations in beam dynamics and acceleration
Magnetic field and allignment errors, dipole perturbations, quadrupole perturbations, perturbation methods in beam dynamics, Resonances, Hamiltonian Nonlinear Beam dynamics, Charged particle acceleration, beam-cavity Interaction, dynamics of coupled motion.

( 7 hrs) Coupled Motion and Intense beams
Dynamics of coupled motion, betatron functions for coupled motion, Hamiltonian and coupling, Statistical and collective efforts, collective self fields, beam-current spectrum, weak fields and instabilities, impedence in an accelerator environment.

(7 hrs) Synchroton Radiation
Radiation from moving charges, electromagnetic radiation, radiation sources, theory of Synchrotron Radiation, radiation field, radiation field in the frequency domain, insertion device radiation, free electron lasers.

To impart knowledge on:
Use of charged particle accelerators in the field of research such as High-energy and nuclear physics.

Fundamental physics and technologies of particle acceleration with emphasis on basic relationships, definitions, and applications found in the field of particle accelerator.

Effect of perturbations on beam dynamics.

Equations of motion in coupled systems.

Role of synchrotron radiation in accelerators.

At the end of course, students will be able to develop understanding of
CO1: Various theoretical techniques to accelerate particles and technical details of accelerator technology.

CO2: How particles are accelerated and categorization of accelerator such as linear and cyclic accelerators.

CO3: Physics of accelerators to design, operate, and utilize them efficiently.

CO4: Radiation from moving charges and their dynamics in particle acceleration.

CO5: High-energy accelerators.

Rubin H. Landau, Manuel José Páez , Computational Problems for Physics , CRC Press

Helmut Wiedemann, Particle Accelerator Physics, Fourth Edition, Springer (2015).

- David P. Landau and Kurt Binder, A Guide to Monte Carlo Simulations in Statistical Physics , Cambridge University Press

M.S. Livingston and J.B. Blewett, Particle Accelerators, McGraw-Hill Inc, US (1962)

Arvind Jain, Introduction to Accelerator Physics, MacMillan India Ltd, (2007).

Mario Conte and William M. MacKay., An Introduction to the Physics of Particle Accelerators , second edition (World Scientific 2008)

S. Y. Lee, Accelerator Physics , fourth edition (World Scientific 2019)