KUK - LMS

Syllabus

MODULE NO / UNIT	COURSE SYLLABUS CONTENTS OF MODULE	NOTES
Course Code: PHY 301 Course Name: Electrodynamics and Plasma Physics
1	Electrostatics and Method of Images (12 hrs.) Electric Field, Gauss’s Law, Differential Form of Gauss Law, Poisson’s and Laplace’s equations, Solution of Laplace’s equation in various coordinates, Green’s Theorem, Dirichlet and Neumann boundary conditions, Formal solution of boundary value problem with Green Function, Method of Images, Point charge near an infinite Grounded Conducting Plane, Point charge in the presence of Grounded Conducting Sphere, Point charge in the presence of Charged, Insulated Conducting sphere, Point charge near a Conducting Sphere held at Fixed Potential, Conducting sphere in a Uniform Electric Field.
2	Magnetostatics, Maxwell Equations and Special Theory of Relativity (12 hrs.) Magnetostatics: Biot-Savart Law: Steady Currents, The magnetic field of a Steady Current, Ampere’s Law, Comparison of Magnetostatics and Electrostatics, Maxwell’s Displacement Current; Maxwell’s Equations, Scalar and Vector potentials, Maxwell’s equations in terms of scalar and vector potentials, Non uniqueness of Electromagnetic potentials, Gauge Transformation, Lorentz gauge and Coulomb gauge. Minkowski Space and Four vectors, Mathematical Properties of the Space-Time of Special Relativity, Electromagnetic field strength tensors, Covariance of Maxwell's and Lorentz force equations.
3	Electromagnetic Waves and Radiation by Moving Charges (14 hrs.) Electromagnetic Waves in Vacuum: The Wave Equation for E and B, Monochromatic Plane Waves, Energy and Momentum in Electromagnetic Waves. Electromagnetic Waves in Matter: 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. Wave Guides, TE and TM Waves in a Rectangular Wave Guide, Retarded Time, Lienard-Wiechert Potentials for a point charge, Total power radiated by a point charge: Larmor’s formula and its relativistic generalization.
4	Plasma Physics (12 hrs.) Occurrence of Plasmas in Nature, Quasineutrality of plasma, Debye Shielding, The Plasma Parameter, Criteria for Plasmas, Representation of Waves in Plasma, Group Velocity, Plasma Oscillations, Electron Plasma Waves, Sound Waves, Ion Waves, Validity of the Plasma Approximation, Comparison of Ion and Electron Waves, Electrostatic Electron Oscillations Perpendicular to B. Introduction to plasma Instabilities: Streaming instabilities, Rayleigh–Taylor instabilities, Universal instabilities, Kinetic instabilities. Velocity Distribution Function in Plasma, Derivation of the Fluid Equations as moments of the Boltzmann equation.