PHYS 436 :: Physics Illinois :: University of Illinois at Urbana-Champaign

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   515-615pm                  James Eckstein.            eckstein@illinois.edu

276 Loomis               Fri 3-5pm.                         Billy Passias.                 passias@illinois.edu

Transport 114 or       Mon 2-4pm.                           Gaurav Tenkila               tenkila2@illinois.edu
143 Loomis              Mon 4-6pm.                           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

 


435 REVIEW

Lecture 1
Review Maxwell's Equations, Electrostatic Potential,
Magnetic Vector Potential
Helmholtz Theorem
pdf

 

HW-1
pdf

 435 separation of variables

HW1Solution 

   
Tuesday
8/22/2023
       

Discussion 1
pdf

 
Wednesday
8/23/2023
  Lecture 2
Electric and Magnetic Fields in Matter Boundary conditions using D, E, B and H
pdf
  Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 1
Solution
pdf
 
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
pdf
       
2
Monday
8/28/2023
  Lecture 4
Introduction to Conservation Laws
pdf
9.1
9.2.2

HW-2
pdf

435 AC Circuit Theory

HW2Solution

   
Tuesday
8/29/2023
        Discussion 2
pdf
 
Wednesday
8/30/2023
  Lecture 5
Energy Flux, Poynting's Vector, Conservation of Energy
pdf
Discussion of Levi Civita Symbol
pdf
Also check out Three dimensions definition in this file: https://en.wikipedia.org/wiki/Levi-Civita_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
pdf
 
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
pdf
8.2.3
9.2.3
     
3
Monday
9/4/2023
Labor Day Holiday
Tuesday
9/5/2023
     

HW-3
pdf

HW3Solution

Discussion 3
pdf
 
Wednesday
9/6/2023

 

Lecture 7
Using Maxwell Stress Tensor
Microscopic model of dielectric response
pdf
8.2
8.2.2
Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 3
Solution
pdf
 
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
pdf
9.3.1      
4
Monday
9/11/2023
  Lecture 9
Microscopic model of dielectric response
Complex dielectric function
pdf
9.4.3

HW-4
pdf

HW4Solution

   
Tuesday
9/12/2023
        Discussion 4
pdf
 
Wednesday
9/13/2023
  Lecture 10
Phase Velocity, Fourier Transforms, Wave packets, Group Velocity
pdf
9.4.3 Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 4
Solution
pdf
 
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 Magneto-Optical behavior
Note:  This is NOT Faraday's Law.  It's a separate discovery.
pdf
Notes      
5
Monday
9/18/2023
 

Lecture 12
Reflection and Refraction at Dielectric Interfaces
pdf

Lecture12notes
pdf

9.3.2
9.3.3

HW-5
pdf

HW5Solution

   
Tuesday
9/19/2023
        Discussion 5
pdf
 
Wednesday
9/20/2023
  Lecture 13
Brewster's Angle
pdf
9.4.1 Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 5
Solution
pdf
 
Thursday
9/21/2023
           
Friday
9/22/2023
  Lecture 14
Propagation of light inside conductors
A modified wave equation
pdf
9.4.2      
6
Monday
9/25/2023
  Lecture 15
Reflection from conductors
Power reflection coefficient
Loss upon Refflection

pdf
Notes

HW-6
pdf

HW6Solution

   
Tuesday
9/26/2023
        Discussion 6
pdf
 
Wednesday
9/27/2023
 

Lecture 16
Propagatino of light in a rare plasma
Total internal reflection of radio waves a the stratosphere/ionosphere interface
pdf

Apparent Weight of Photons (Pound Rebka Experiment)
pdf

Notes Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 6
Solution
pdf
 
Thursday
9/28/2023
           
Friday
9/29/2023
  Lecture 17
Waveguides I
pdf
9.5.1      
7
Monday
10/2/2023
  Lecture 18
Waveguides II, Optical Fiber Modes
pdf
9.5.2
notes

 

   
Tuesday
10/3/2023
        Discussion 7
pdf
 
Wednesday
10/4/2023
  Lecture 19
Microwave Cavity Resonators, such as used for Superconducting Qubits
Other applications of Cavity Resonators:  Particle Accelerators
pdf
9.5.3 Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 7
Solution
pdf
 
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 
pdf
10.1      
8
Monday
10/9/2023

 

 

We are back in Loomis 144 for this class.
Lecture 21
Solution to Lorentz Gauge Potentials
pdf
Lecture on same topic from physics 505 (from page 277 on)
pdf
10.1      
Tuesday
10/10/2023
        Discussion 8
pdf
 
Wednesday
10/11/2023
  Lecture 22
Solution to Lorentz Gauge Potential Problems
pdf
10.1 Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 8
Solution
pdf

Midterm Exam I
Covering Lectures 1 - 16
7-9 pm via Zoom
Honor Code Signature Required

MT1Solution

Thursday
10/12/2023
     

HW-7
pdf

HW7Solution

 

 

Friday
10/13/2023
  Lecture 23
Solution for time dependent potential functions
pdf
10.1
10/2/1
     
9
Monday
10/16/2023
  Lecture 24
Electric Dipole Radiation
pdf
11.1      
Tuesday
10/17/2023
     

 

Discussion 9
pdf
 
Wednesday
10/18/2023

 

 

Lecture 25
Radiation from Accelerated Point Charges
Larmor Formula
pdf
11.2

Homework Office Hour
5:15 to 6:15pm
Loomis 144

Discussion 9
Solution
pdf
 
Thursday
10/19/2023
           
Friday
10/20/2023
  Lecture 26
Radiation from a Polarization Wave
Non-Linear Optics
pdf
Notes      
10
Monday
10/23/2023

 

 

Lecture 27
Non-Linear Optics
The first part of these notes is the same as the notes for Lect 26
pdf
Notes

HW8
pdf

HW8 Solution
pdf

   
Tuesday
10/24/2023
     

 

Discussion 10
pdf
 
Wednesday
10/25/2023
  Lecture 28
Non-Linear Optics
pdf
Notes Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 10
Solution
pdf
 
Thursday
10/26/2023
           
Friday
10/27/2023

 

 

Lecture 29
Applications of Nonlinear Optics
Second Harmonic Generation A bit on Gaussian Optics
pdf
Notes      
11
Monday
10/30/2023
  Lecture 30
Electro-optics, EO modulators
pdf
Notes

HW9
pdf

HW9Solution
pdf

   
Tuesday
10/31/2023
     

 

Discussion 11
pdf
 
Wednesday
11/1/2023

 

 

Lecture 31
Coordinate Transformations in Special Relativity Lorentz Transformations
Lorentz transformations of 4 vectors Lambda Matrices and Covariant and Contravariant 4-vectors
pdf
12.1 Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 11
Solution
pdf
 
Thursday
11/2/2023
           
Friday
11/3/2023
  Lecture 32
Time/Position 4 vector Transformation Wave Vector 4 vector
Transformation≈
pdf
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
pdf
12.1

HW10
pdf

HW10Solution
pdf

   
Tuesday
11/7/2023
        Discussion 12
pdf
 
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?
pdf
12.2 Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 12
Solution
pdf

 

Thursday
11/9/2023
           
Friday
11/10/2023
  Lecture 35
Covariant Electromagnetism    
How do Electric and Magnetic Fields transform from one IRF to another    
pdf
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!
pdf
12.3      
Tuesday
11/14/2023
     

HW11
pdf

HW11 Solution
pdf

Discussion 13
pdf
 
Wednesday
11/15/2023
Prelecture 37 Lecture 37
Field Pattern Transformations
pdf
12.3 Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 13
Solution
pdf
 
Thursday
11/16/2023
         

Second Midterm
7 pm on Zoom
Link will be mailed
Honor Code Signature Required

MT2Solution

Friday
11/17/2023
  Lecture 38
Field Pattern Tranformations
Maxwell's Equations in Relativistic Form
Discussion of Twin Problem
pdf
12.3      
14
Monday
11/20/2023
to
Friday
11/24/2022
Fall break
15
Monday
11/28/2022
 

Lecture 39
Radiation from a Relativisitic Charge Two ways to do this: 
Retarded Potentials Leinard Wiechart Potentials
pdf

       
Tuesday
11/29/2022
     

 

Discussion 14
pdf
 
Wednesday
11/30/2022
  Lecture 40
Radiation from a Relativisitic Charge
Free Electron Lasers
pdf
Notes Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 14
Solution
pdf
 
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)
pdf
Notes
10.3
     
16
Monday
12/5/2022
  Lecture 42
Lagrangian Formalism
pdf
       
Tuesday
12/6/2022
        Discussion 15
pdf
 
Wednesday
12/7/2022
  Lecture 43
Lagrangian Formalism (continued)
pdf
  Homework Office Hour
5:15 to 6:15pm
Loomis 144
Discussion 15
Solution
pdf
 
Thursday
12/8/2022
Reading Day

 
  Final Exam