Multipole expansions, the vector potential, mechanical properties of the electromagnetic field, Maxwell stress-energy tensor, gauge transformations, retarded solutions, Lienard-Wiechert potential, fields of a moving charge. Dipole radiation, arbitrary sources and radiated power.
Prerequisite: PHSI 332
The paper is taught by Terry Scott.
PART I: MECHANICAL PROPERTIES OF EM FIELDS | ||||
---|---|---|---|---|
Topic | Section | Pages | Lecture | Lecture Questions |
Theory of Vector Fields, Helmholtz Theorem | 1.6, Appendix B | 52-54, 582-587 | 1 | |
Electrostatic Multipole Expansion | 3.4 | 151-160 | 1 | 3.27, 3.30 |
Magnetic Vector Potential | 5.4 | 243-251 | 2 | 5.28, 5.26, 5.23 |
Magnetostatic Multipole Expansion | 5.4.3 | 252-255 | 2 | 5.34 |
Conservation Laws | 8.1-8.2.3 | 356-370 | 3,4 | 8.2, 8.3, 8.4, 8.7, 8.6 |
PART II: RADIATION | ||||
Topic | Section | Pages | Lecture | Lecture Questions |
Potentials and Fields | 10.1.1-10.1.3 | 436-442 | 5 | 10.3(a), 10.3(b), 10.4 |
Retarded potentials | 10.2 | 444-451 | 6 | 10.10 |
Lienard-Wiechert potentials | 10.3.1 | 451-456 | 7,8 | 10.15, 10.16 |
E and B fields from L-W potentials | 10.3.2 | 456-462 | 9,10 | 10.20, 10.23 |
Dipole Radiation | 11.1 | 466-477 | 11 | |
Arbitrary source, Point charges | 11.1.4, 11.2 | 477-488 | 12,13 | |
Radiation Reaction | 11.2.2,11.2.3 | 488-496 | 14 | |
Electrodynamics and Relativity | 12.1.1, 12.3 | 502-507, 550-570 | (14),15 |
Questions 3.31, 3.46, 3.47, 5.59, 5.60.
Question 5.60 requires the solutions to Questions 5.29 and 5.36 (in the Third edition) - click the problem number to see the solution to these problems.
Questions 8.17, 8.19, 10.11, 10.12
Questions 11.12, 11.13 (Third Edition Only), 11.14, 11.34