Unit 1

Conservation Laws
Learning Objectives
Recognize Maxwell’s equations and electrodynamic boundary conditions
Describe various conservation laws in electrodynamics

Review of Maxwell’s equations, The Continuity Equation, Poynting’s Theorem, Newton’s Third Law in electrodynamics, Maxwell’s Stress Tensor, Conservation of Momentum, Angular momentum

Unit 2

Electromagnetic Waves and Wave Guides:
Learning Objectives
Describe electromagnetic wave propagation in free space and different media.
Discuss reflection and transmission of em wave at interfaces, energy and momentum associated with em waves.
Understand the theory of wave guides.

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 frequency dependence of Permittivity, Wave Guides, The waves in a Rectangular Wave Guide, The Coaxial Transmission Line.

Unit 3

Potentials and Fields:
Learning Objectives
Understand potential formulations and Gauge transformations.
Discuss retarded potential, Jefimenko’s equation and the field of a moving point charge.

Scalar and Vector Potentials, Gauge transformations, Lorenz and Coulomb Gauge, Retarded Potentials, Jefimenko’s equations, Lienard-Wiechert Potentials, The Fields of a Moving Point Charge

Unit 4

Radiation
Learning Objectives
Understand electric dipole and magnetic dipole radiation.
Discuss power radiated by a point charge and physical basis of radiation reaction.

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

Electrodynamics and Special Theory of Relativity
Learning Objectives
Recognize postulates of special theory of relativity, relativistic kinematics and dynamics.
Understand magnetism as a relativistic phenomenon.
Discuss applications of electrodynamics.

Einstein’s 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 Matter

Course Objectives: Having successfully completed this module, the student will be able to demonstrate knowledge and understanding of: Conservation laws in electrodynamics, Connection between electromagnetic phenomena and light, Wave equations for electromagnetic waves, Reflection and transmission in dielectric media, Reflection, and transmission in conducting media, Waveguides, Radiation, Power radiated by a point charge, The physical basis of radiation reaction. Special theory of relativity and its connection to electrodynamics, Applications of electrodynamics in particle accelerators.

Course Outcomes
CO1. Understand Maxwell’s equations and different conservation laws used in electrodynamics
CO2. Describe electromagnetic waves, their propagation in different media and wave guides
CO3. Acquire knowledge on potential formulations, basic theory of radiation
CO4. Understand basic aspects of special theory of relativity, relativistic electrodynamics and applications of electrodynamics

Skills: Through assignments and quizzes, the problem solving capability of students related to electrodynamics is enhanced.

Text books
1. David J Griffiths, Introduction to electrodynamics, 4th Ed, Pearson Education India Learning Pvt. Ltd., 2015.

Reference
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.

*CA – Can be Quizzes, Assignments, Projects, and Reports.

Justification for CO-PO Mapping