Course

UNIT 1:Review of Maxwells equations, The Continuity Equation, Poyntings Theorem, Newtons Third Law in electrodynamics, Maxwells Stress Tensor, Conservation of Momentum, Angular momentumUNIT 2:The wave equation, Sinusoidal waves, Boundary conditions: Reflection and Transmission, Polarization, The wave equation for E and B, Monochromatic plane waves, Energy and Momentum in Electromagnetic Waves, Propagation in linear media, Reflection and Transmission at Normal Incidence, Reflection and Transmission at Oblique Incidence. Electromagnetic Waves in Conductors, Reflection at a Conducting Surface, The fre- quency dependence of Permittivity, Wave Guides, The waves in a Rectangular Wave Guide, The Coaxial Transmission Line.UNIT 3:Scalar and Vector Potentials, Gauge transformations, Lorenz and Coulomb Gauge, Retarded Potentials, Jefimenkos equations, Lienard-Wiechert Potentials, The Fields of a Moving Point Charge.UNIT 4:Definition of radiation, Electric dipole radiation, Magnetic dipole radiation, Radiation from an arbitrary source, Power radiated by a point charge, Radiation reaction, The physical basis of radiation reaction.UNIT 5:Einsteins postulates, Geometry of relativity, The Lorentz transformations, The Structure of space time, Proper time and proper velocity, Relativistic energy and momentum, Relativistic kinematics, Relativistic dynamics, Relativistic Electrodynamics: Magnetism as a relativistic phenomenon, How the fields transform, The field tensor, Electrodynamics in tensor notation. Relativistic potentials, Lagrangian and Hamiltonian for a relativistic charged particle in external electromagnetic fields. Applications of electrodynamics in particle accelerators.

Prerequisites: Basics of Electricity and Magnetism, Electricity and Magnetism in MatterCourse Objectives: The aim of the course is to introduce the essential conservation laws in electrodynamics, Connection between electromagnetic phenomena and light. It also describes the physical basis of radiation, Special theory of relativity and its connection to electrodynamics, Applications of electrodynamics in particle accelerators.Course Outcomes:After completing the course, the student should be able toCO1: Understand Maxwells equations and different conservation laws used in electrodynamicsCO2: Describe electromagnetic waves, their propagation in different media, and waveguides CO3: Acquire knowledge on potential formulations, basic theory of radiationCO4: Understand basic aspects of the special theory of relativity, relativistic electrodynamics, and applications of electrodynamics

TEXT BOOKS:1.David J Griffiths, Introduction to electrodynamics, 4th Ed, Pearson Education India Learning Pvt. Ltd., 2015.REFERENCE BOOKS:1.J.D. Jackson, Classical Electrodynamics, 3rd Edition, Wiley, 2007.2.W. Greiner, Classical Electrodynamics, 1st Ed, Springer, 2006.3.The Physics of Particle Accelerators: An Introduction – Klaus Wille, Oxford University Press, 2000.4.Robert Resnick, Introduction to Special Relativity, John Wiley and Sons, Inc., 2013.