PHYS 436 :: Physics Illinois :: University of Illinois at UrbanaChampaign
Schedule
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Lecture Videos are available here https://mediaspace.illinois.edu/channel/Physics%2B436%2BFall%2B2023/311881872
Weekly Office Hours
Location. Day and Time. Instructor email address
144 Loomis Wed 515615pm James Eckstein. eckstein@illinois.edu
276 Loomis Fri 35pm. Billy Passias. passias@illinois.edu
Transport 114 or Mon 24pm. Gaurav Tenkila tenkila2@illinois.edu
143 Loomis Mon 46pm. Zijun Wang zijun4@illinois.edu
on 8/28, 11/27 and 12/4 the Monday office hours will be held in the Transportation building. On all other Mondays they will be in 143 Loomis.
Week  Date  Prelectures  Lectures  Readings Sections from Griffiths 4th Ed. 
Homework  Discussions  Exams 

1 
Monday
8/21/2023 

HW1 

Tuesday
8/22/2023 
Discussion 1 

Wednesday
8/23/2023 
Lecture 2 Electric and Magnetic Fields in Matter Boundary conditions using D, E, B and H 
Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 1 Solution 

Thursday
8/24/2023 

Friday
8/25/2023 
Lecture 3 Faraday's Law and the Ampere/Maxwell Law Inductances and Derivation of the Wave Equation Reminder: Study AC Circuit Theory 

2 
Monday
8/28/2023 
Lecture 4 Introduction to Conservation Laws 
9.1 9.2.2 
HW2 

Tuesday
8/29/2023 
Discussion 2 

Wednesday
8/30/2023 
Lecture 5 Energy Flux, Poynting's Vector, Conservation of Energy Discussion of Levi Civita Symbol Also check out Three dimensions definition in this file: https://en.wikipedia.org/wiki/LeviCivita_symbol Also in the product section look at "A special case of this result is (4):" We will use this product again on Friday. 
8.1 8.2.3 9.2.3 
Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 2 Solution 

Thursday
8/31/2023 

Friday
9/1/2023 
Lecture 6 EM Momentum Density, Total Momentum is Field plus Mechanical Conservation of Total Momentum Maxwell Stress Tensor 
8.2.3 9.2.3 

3 
Monday
9/4/2023 
Labor Day Holiday  
Tuesday
9/5/2023 
HW3 
Discussion 3 

Wednesday
9/6/2023 

Lecture 7 Using Maxwell Stress Tensor Microscopic model of dielectric response 
8.2 8.2.2 
Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 3 Solution 

Thursday
9/7/2023 

Friday
9/8/2023 
Lecture 8 Propagation of EM radiation in dielectrics, Polarization current densithy Microscopic model of dielectric response Complex dielectric function EM wave packets, phase velocity, group velocity 
9.3.1  
4 
Monday
9/11/2023 
Lecture 9 Microscopic model of dielectric response Complex dielectric function 
9.4.3 
HW4 

Tuesday
9/12/2023 
Discussion 4 

Wednesday
9/13/2023 
Lecture 10 Phase Velocity, Fourier Transforms, Wave packets, Group Velocity 
9.4.3  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 4 Solution 

Thursday
9/14/2023 

Friday
9/15/2023 
Lecture 11 Birefringence polarization dependent refractive index, quarter wave plate change linearly polarized light to circularly polarized light Faraday Effect and MagnetoOptical behavior Note: This is NOT Faraday's Law. It's a separate discovery. 
Notes  
5 
Monday
9/18/2023 
Lecture 12 Lecture12notes 
9.3.2 9.3.3 
HW5 HW5Solution 

Tuesday
9/19/2023 
Discussion 5 

Wednesday
9/20/2023 
Lecture 13 Brewster's Angle 
9.4.1  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 5 Solution 

Thursday
9/21/2023 

Friday
9/22/2023 
Lecture 14 Propagation of light inside conductors A modified wave equation 
9.4.2  
6 
Monday
9/25/2023 
Lecture 15 Reflection from conductors Power reflection coefficient Loss upon Refflection 
Notes 
HW6 

Tuesday
9/26/2023 
Discussion 6 

Wednesday
9/27/2023 
Lecture 16 Apparent Weight of Photons (Pound Rebka Experiment) 
Notes  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 6 Solution 

Thursday
9/28/2023 

Friday
9/29/2023 
Lecture 17 Waveguides I 
9.5.1  
7 
Monday
10/2/2023 
Lecture 18 Waveguides II, Optical Fiber Modes 
9.5.2 notes 


Tuesday
10/3/2023 
Discussion 7 

Wednesday
10/4/2023 
Lecture 19 Microwave Cavity Resonators, such as used for Superconducting Qubits Other applications of Cavity Resonators: Particle Accelerators 
9.5.3  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 7 Solution 

Thursday
10/5/2023 

Friday
10/6/2023 
This Lecture will be given over Zoom. Lecture 20 Time Dependent Potential Functions, A(r,t) and V(r,t) Gauge transformations including time dependence Lorentz Gauge 
10.1  
8 
Monday
10/9/2023 

We are back in Loomis 144 for this class. Lecture 21 Solution to Lorentz Gauge Potentials Lecture on same topic from physics 505 (from page 277 on) 
10.1  
Tuesday
10/10/2023 
Discussion 8 

Wednesday
10/11/2023 
Lecture 22 Solution to Lorentz Gauge Potential Problems 
10.1  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 8 Solution 
Midterm Exam I 

Thursday
10/12/2023 
HW7 


Friday
10/13/2023 
Lecture 23 Solution for time dependent potential functions 
10.1 10/2/1 

9 
Monday
10/16/2023 
Lecture 24 Electric Dipole Radiation 
11.1  
Tuesday
10/17/2023 

Discussion 9 

Wednesday
10/18/2023 

Lecture 25 Radiation from Accelerated Point Charges Larmor Formula 
11.2 
Homework Office Hour 
Discussion 9 Solution 

Thursday
10/19/2023 

Friday
10/20/2023 
Lecture 26 Radiation from a Polarization Wave NonLinear Optics 
Notes  
10 
Monday
10/23/2023 

Lecture 27 NonLinear Optics The first part of these notes is the same as the notes for Lect 26 
Notes 
HW8 HW8 Solution 

Tuesday
10/24/2023 

Discussion 10 

Wednesday
10/25/2023 
Lecture 28 NonLinear Optics 
Notes  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 10 Solution 

Thursday
10/26/2023 

Friday
10/27/2023 

Lecture 29 Applications of Nonlinear Optics Second Harmonic Generation A bit on Gaussian Optics 
Notes  
11 
Monday
10/30/2023 
Lecture 30 Electrooptics, EO modulators 
Notes 
HW9 HW9Solution 

Tuesday
10/31/2023 

Discussion 11 

Wednesday
11/1/2023 

Lecture 31 Coordinate Transformations in Special Relativity Lorentz Transformations Lorentz transformations of 4 vectors Lambda Matrices and Covariant and Contravariant 4vectors 
12.1  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 11 Solution 

Thursday
11/2/2023 

Friday
11/3/2023 
Lecture 32 Time/Position 4 vector Transformation Wave Vector 4 vector Transformation≈ 
12.1  
12 
Monday
11/6/2023 
This Lecture will be given over Zoom, The link will be emailed to the class on Sunday evening. Lecture 33 Time/Position 4 vector Transformation Energy/Momentum 4 vector 
12.1 
HW10 HW10Solution 

Tuesday
11/7/2023 
Discussion 12 

Wednesday
11/8/2023 
This Lecture will be given over Zoom, The link will be emailed to the class on Tuesday evening. Lecture 34 Relativistic Equations of Particle Motion What happens to F=ma in Special Relativity? 
12.2  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 12 Solution 


Thursday
11/9/2023 

Friday
11/10/2023 
Lecture 35 Covariant Electromagnetism How do Electric and Magnetic Fields transform from one IRF to another 
12.3  
13 
Monday
11/13/2023 
Lecture 36 Electric and Magnetic Fields from a Moving Charge You have to transform coordinates and fields to do this! 
12.3  
Tuesday
11/14/2023 
HW11 HW11 Solution 
Discussion 13 

Wednesday
11/15/2023 
Prelecture 37  Lecture 37 Field Pattern Transformations 
12.3  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 13 Solution 

Thursday
11/16/2023 
Second Midterm 

Friday
11/17/2023 
Lecture 38 Field Pattern Tranformations Maxwell's Equations in Relativistic Form Discussion of Twin Problem 
12.3  
14 
Monday
11/20/2023 to Friday 11/24/2022

Fall break  
15 
Monday
11/28/2022 
Lecture 39 

Tuesday
11/29/2022 

Discussion 14 

Wednesday
11/30/2022 
Lecture 40 Radiation from a Relativisitic Charge Free Electron Lasers 
Notes  Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 14 Solution 

Thursday
12/1/2022 

Friday
12/2/2022 
Lecture 41 Lagrangian for Relativistic Dynamics from Lorentz Force Law Identification of Canonical Momentum. (Important for QM Hamiltonian Dynamics) 
Notes 10.3 

16 
Monday
12/5/2022 
Lecture 42 Lagrangian Formalism 

Tuesday
12/6/2022 
Discussion 15 

Wednesday
12/7/2022 
Lecture 43 Lagrangian Formalism (continued) 
Homework Office Hour 5:15 to 6:15pm Loomis 144 
Discussion 15 Solution 

Thursday
12/8/2022 
Reading Day  

Final Exam 