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PHY 415: Electromagnetic Theory I
Prof. S. Teitel: stte@pas.rochester.edu ---- Fall 2021
Unit 6
Unit 1 • Unit 2 • Unit 3 • Unit 4 • Unit 5 • Unit 6 • Unit 7 • Unit 8
Radiation and Fields from Moving Charges
November 15 to November 29
You should review the notes and videos below by November 29.
Questions on the material of Unit 6 may be posted on the Unit 6 Discussion Board, or on the Unit 6 Slack channel.
Your response to Discussion Question 9.5 is due Tuesday, November 23, at 5pm
Your response to Discussion Question 10 is due Tuesday, November 30, at 5pm
You solutions to Problem Set 10 are due Thursday, December 2, at 5pm
In the previous unit we discussed the propagation of electromagnetic waves, which are solutions to Maxwell's equations in the absence of any source charges or currents. In this unit we add back the sources to discuss what electromagnetic fields are produced by charges in motion. In particular we want to see that accelerated charges radiate electromagnetic waves. In this unit we will be dealing with the microscopic Maxwell's equations.
Below is a list of links to the course notes for each topic in this unit, followed by links to recorded video lectures.
Notes and Video Lectures
- Notes 6-1 - Green's function for the wave equation, the Liénard-Wiechert potentials
- Video 6-1.1 - The Green's function for the wave equation [54 min]
- Video 6-1.2 - The Liénard-Wiechert potentials for a moving point charge [25 min]
- Video 6-1.3 - The potentials and fields from a charge moving with constant velocity [33 min]
- Notes 6-2 - Radiation by a localized harmonically oscillating source
- Video 6-2.1 - Electric dipole contribution to the vector potential, AE1 [35 min]
- Video 6-2.2 - Magnetic dipole and electric quadrupole contributions to the vector potential, AM1 and AE2 [39 min]
- Notes 6-3 - Radiation in the electric dipole approximation
- Video 6-3.1 - Fields within the electric dipole approximation [41 min]
- Notes 6-3-supp - Radiation in the electric dipole approximation - Beyond the Radiation Zone Approximation
- Notes 6-4 - Radiation in the magnetic dipole and electric quadrupole approximations
- Video 6-4.1 - Fields within the magnetic dipole approximation [20 min]
- Video 6-4.2 - Fields within the electric quadrupole approximation [26 min]
- Notes 6-5 - Radiation from arbitrarily time varying sources and Larmor's formula
- Video 6-5.1 - Radiation from arbitrarily time varying sources and Larmor's formula [29 min]
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