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PHY 415: Electromagnetic Theory I
Prof. S. Teitel: stte@pas.rochester.edu ---- Fall 2021
Unit 5
Unit 1 • Unit 2 • Unit 3 • Unit 4 • Unit 5 • Unit 6 • Unit 7 • Unit 8
Electromagnetic Waves in Dielectrics and Conductors, Polarization, Interfaces
October 25 to November 12
You should review the notes and videos below by November 12.
Questions on the material of Unit 5 may be posted on the Unit 5 Discussion Board, or on the Unit 5 Slack channel.
Your response to Discussion Question 7.5 is due Tuesday, October 26, at 5pm
Your solutions to Problem Set 8 are due Thursday, November 4, at 5pm
Your response to Discussion Question 9 is due Tuesday, November 16, at 5pm
Your solutions to Problem Set 9 are due Thursday, November 18, at 5pm
In this unit we will discuss the propagation of electromagnetic waves in different types of materials, specifically dielectrics and conductors. We will discuss how the frequency dependent dielectric function and the frequency dependent conductivity give diverse behaviors for such waves as frequency varies. We will consider the polarization of the fields in such waves, discussion linear, circular, and elliptical modes of polarization. We will discuss what happens when an electromagnetic wave hits an interface between two different materials, finding the directions and amplitudes of the reflected and transmitted waves. Finally we discuss the Kramers-Kronig relation.
Below is a llist of links to the course notes for each topic in this unit, follwed by links to recorded video lectures.
Notes and Video Lectures
- Notes 5-1 - Electromagnetic wave propagation in dielectrics, frequency dependent atomic polarizability
Video 5-1.1 - Electromagnetic waves in matter [13 min]
- Video 5-1.2 - Time dependent atomic polarizability [50 min]
- Video 5-1.3 - Dispersion relation, phase velocity, group velocity, index of refraction [44 min]
- Notes 5-2 - Transparent propagation, resonant absorption, total reflection
- Video 5-2.1 - Transparent propagation, resonant absorption, total reflection [66 min]
- Notes 5-3 - Electromagnetic wave propagation in conductors, frequency dependent conductivity
- Video 5-3.1 - Frequency dependent conductivity [29 min]
- Video 5-3.2 - Waves in conductors, low and high frequency limits [29 min]
- Video 5-3.3 - Longitudinal modes in conductors [19 min]
- Notes 5-4 - Linear, circular, and elliptical polarization of electromagnetic waves
- Video 5-4.1 - Polarization of electromagnetic waves [49 min]
- Notes 5-5 - Reflection and transmission of electromagnetic waves at interfaces
- Video 5-5.1 - Snell's law, total internal reflection [32 min]
- Video 5-5.2 - Snell's law for non-transparent media [46 min]
- Video 5-5.3 - Coefficient of reflection [41 min]
- Notes 5-5-supp - Supplemental: Total internal reflection revisited
- Notes 5-6 - The Kramers-Kronig relation
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