SYLLABUS

Physics 8110

Electromagnetic Theory II

Prerequisite: Physics 8100 or equivalent

Maxwell's equations, conservation laws; plane electromagnetic waves and wave propagation; wave guides and resonant cavities; special theory of relativity, relativistic electrodynamics; simple radiating systems, radiation by moving charges.

Textbook: J. D. Jackson, Classical Electrodynamics (Third Edition).

Reference Books:

J. D. Marion, Classical Electrodynamics Radiation;

P. Lorrain & D. Corson, Electromagnetic Fields and Waves;

W. Hauser, Introduction to the Principles of Electromagnetism.

I. Maxwell Equations, Conservation Laws

1. Maxwell's displacement current, Maxwell's equations

2. Vector and scalar potentials

3. Gauge transformations, Lorentz gauge, Coulomb gauge

4. Poynting's theorem and conservation of energy for a system of charged particles and electromagnetic fields

5. Conservation of linear momentum for a system of charged particles and electromagnetic fields

6. Conservation of angular momentum for a system of charged particles and electromagnetic fields

II. Plane Electromagnetic Waves and Wave Propagation

1. Wave equations for electromagnetic waves

2. Plane waves in a non-conducting medium

3. Linear and circular polarization

4. Reflection and refraction of electromagnetic waves at a plane interface between dielectrics.

5. Polarization by reflection and total internal reflection

6. Waves in a conducting medium

7. Superposition of waves in one dimension, group velocity

III. Wave Guides and Resonant Cavities

1. Fields at the surface and within a conductor

2. Cylindrical cavities and wave guides

3. Wave guides

4. Modes in rectangular wave guides

5. Resonant cavities

IV. Special Theory of Relativity

1. The situation before 1900. Einstein's two postulates

2. Lorentz transformations and basic kinematic results of special relativity

3. Addition of velocities, four-velocity

4. Relativistic momentum and energy of a particle

5. Invariance of electric charge, covariance of electrodynamics

6. Transformation of electromagnetic fields

V. Simple radiating systems, Radiation by moving charges

1. Retarded potentials

2. Fields and radiation of a localized oscillating source

3. Electric dipole fields and radiation

4. Radiation from an arbitrary distribution of charges and currents

5. The Lienard-Wiechert potentials

6. The field produced by a moving charged particle

7. The field produced by a charged particle in uniform motion

8. Radiation from an accelerated charged particle at low velocities - Larmor formula.

9. Radiation from a charged particle with co-linear velocity and acceleration

10.Radiation from a charged particle confined to a circular orbit

Schedule

Physics 8110, Spring semester, 2000. Office: 454 Science Annex

MW 4:00 - 5:15 p.m. 226-SC

January 10 12 17 19 24 26 31	Chapter I " Holiday Chapter I " " Chapter II		13 15 20 22 27 29 April 3	Chapter III " " Chapter VI " " "
February 2 7 9 14 16 21 23 28	" " " " " Chapter III " "		5 10 12 17 19 24 26 May 1	" " Chapter V " " " " "
March 1 6 - 11	Midterm Spring Break		8	Final 2:45-4:45 pm
	Home Work 30%	Midterm 30%	Final 40%