Lecture Plan

The references have been abbreviated as follows:

EW - Edward Wilson, KW - Klaus Wille, DE/MS - Edwards and Syphers, HW - Helmut Wiedemann, TW - Thomas Wangler, HB/VS - Beyer and Shevelko, SH - Stanley Humphries, Jr., EC - Chao et al., CAS - CERN Accelerator School proceedings and notes

A copy of the entire lecture plan is available here.

Module 1: Introduction

1. Need for particle accelerators, scope of ‘Accelerator and Beam Physics’ as a subject [EW, EC]
2. Classification of accelerators, historical review of accelerators [EW, EC, KW]

Tutorials:

• Simple illustrative calculations in accelerators - 1
• Simple illustrative calculations in accelerators - 2

Module 2: Accelerator Facilities

1. Typical accelerator components [CAS]
2. Peripheral systems for accelerators – 1 (Power, vacuum, cooling) [CAS]
3. Peripheral systems for accelerators – 2 (Beam diagnostics) [CAS]
4. Mega accelerator facilities and science [respective websites]

Tutorials:

• Case study – Pelletron at TIFR

Module 3: Transverse Dynamics

1. Magnetic rigidity, working principle of a betatron, concept of betatron oscillations [DE/MS, KW]
2. Accelerator coordinates, transverse equations of motion in co-moving coordinates [DE/MS, KW]
3. Hill’s equation, solutions for dipole and quadrupole magnets, betatron envelopes [EW, DE/MS]
4. Matrix formulation and Twiss parameters, transfer matrix for a combination of elements [EW, DE/MS, SH]
5. Phase space, Liouville’s theorem and emittance [DE/MS, EW]
6. Betatron tune, operating point and resonances [EW, KW]

Tutorials:

• Transverse dynamics
• Beam line design - 1
• Beam line design - 2

Module 4: Longitudinal Dynamics

1. Principle of phase stability, concept of synchrotron oscillations, phase space buckets [EW, DE/MS, HW]
2. Longitudinal differential equations of motion, concept of gamma-transition, dispersion [DE/MS, EW]

Tutorials:

• Longitudinal dynamics

Module 5: Beam Acceleration

1. Electromagnetic fields in waveguides, dispersion relation [KW, DE/MS]
2. Cylindrical ‘pillbox’ cavity, Q-factor, transit time factor and shunt impedance [DE/MS, TW]
3. Cavity design considerations, comparison of NC and SC cavities [DE/MS, TW]
4. Accelerating structures, iris-loaded structure, modes of operation, RFQ [KW, EW]
5. Beam cooling, beam diagnostics: betatron / synchrotron tune, optical measurements [EW, KW, HB/VS]

Tutorials:

• Beam acceleration - 1
• Beam acceleration - 2

Module 6: Synchrotron Radiation

1. Theoretical treatment of synchrotron radiation [KW]
2. Synchrotron radiation – angular distribution, energy and time dependence [KW]
3. Equation of motion in a wiggler/undulator, synchrotron radiation, undulator radiation [KW]
4. Free electron laser (FEL) [KW]

Tutorials:

• Synchrotron radiation
• Wiggler/undulator radiation

Module 7: Applications of Accelerators

1. Plasma-based accelerators – basic concepts, types, prospects and limitations [EW, EC, CAS]
2. Applications of accelerators – 1 [EW, EC, CAS]
3. Applications of accelerators – 2 [EW, EC, CAS]
4. Specific accelerators as case studies, review of the course [EW, EC, CAS]

Lab Visits

1. Visit to TIFR
2. Visit to BARC
3. Visit to SAMEER

Students Seminars

• Accelerator-based experiments - 1 (student seminars)
• Accelerator-based experiments - 2 (student seminars)
• Accelerator-based experiments - 3 (student seminars)
• Accelerator-based experiments - 4 (student seminars)