INSTRUCTOR:
Professor Fulvio Melia
OFFICE HOURS: MWF, 2:00 pm - 3:00 pm in
PAS 447
and most other times (but call 621-9651 or e-mail
first to make sure I'm in)
LECTURES: Mondays, Wednesdays, Fridays, 10:00 am - 10:50 am in
PAS 224
HOMEWORK SOLUTIONS:
Homework # 1: Solutions
Homework # 2: Solutions
Homework # 3: Solutions
Homework # 4: Solutions
Homework # 5: Solutions
Extra Problems (A,B,C)
USEFUL RESOURCE:
The
Academic Support Office, in the Physics Department
at the University of Arizona.
TEXTBOOKS:
Jackson, J. D., Classical Electrodynamics
Melia, F., Electrodynamics
TOPICS COVERED DURING THE SEMESTER:
1. INTRODUCTION
- 1.1 The Physical Basis of Maxwell's Equations
- 1.2 Maxwell's Equations in Matter
- 1.3 Subdivision of Electrodynamics---The Mathematical Structure
- 1.3.1 Electrostatic Phenomena
- 1.3.2 Magnetostatic Phenomena
- 1.3.3 Wave Phenomena
- 1.3.4 The General Case
- 1.3.5 The Mathematical Apparatus
2. TIME-INDEPENDENT ELECTRIC AND MAGNETIC FIELDS
- 2.1 Electrostatics
- 2.1.1 Method 1: Guesses and Symmetries
- 2.1.2 Method 2: Green's Function
- 2.1.3 Method 3: Expansions with Orthonormal Functions
- 2.2 Magnetostatics
- 2.2.1 Method 1: The Magnetic Scalar Potential
- 2.2.2 Method 2: The Magnetic Vector Potential
- 2.2.3 Method 3: Hard Ferromagnets
3. GENERAL PROPERTIES OF MAXWELL'S EQUATIONS
- 3.1 Time-Varying Fields
- 3.2 Time-dependent Green's Function
- 3.3 Conservation Laws
- 3.3.1 Field Energy Density and Poynting's Theorem
- 3.3.2 Conservation of Linear Momentum
- 3.3.3 The Maxwell Stress Tensor
- 3.3.4 Conservation of Angular Momentum
4. ELECTROMAGNETIC WAVES AND RADIATION
- 4.1 Electromagnetic Waves
- 4.2 Polarization and Stokes's Parameters
- 4.3 Reflection and Refraction
- 4.4 Time Harmonic Fields in Matter
- 4.5 Wave Guides
- 4.6 Radiation
- 4.6.1 Point Currents and Lienard-Wiechert Potentials
- 4.6.2 The Radiation Fields
- 4.6.3 Simple Radiating Systems
PROBLEM SCHEDULE
- Sections I & II: Electrostatic Problems (due February 23)
- Jackson: 2.2, 2.7, 2.13, 3.2, 3.3, Problem A
- Section II (cont.): Magnetostatic Problems (due March 9)
- Jackson: 5.1, 5.19
- Section III: General Properties of Maxwell's Equations (due
April 1)
- Problem B, Problem C,
Jackson: 6.11, 6.16, 6.20 parts (a) and (b) (But give c a try anyway!).
- Section IV (a): Plane Waves (due April 20)
- Jackson: 7.3, 7.5, 7.16, 7.20, 7.27
- Section IV (b): Radiation (due May 6)
- Problem set with 4 problems
METHOD OF EVALUATION
- Problems (20%)
- First written, hour-long exam on Friday, March 6 (20%)
- Second written, hour-long exam on Monday, April 13 (20%)
- Written Final, 11:00 am - 1:00 pm Wednesday, May 13 (40%)
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