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

Schedule

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                                    Weekly Office Hours

   Location.                    Day and Time.                       Instructor      

Loomis Room 151.     Thursday.                 530-630pm              Jim Eckstein.        eckstein@illinois.edu. (The meeting room is 151 for 9/30 and 10/7.  It reverts to 144 starting on 10/14 for the rest of the semester.)

Loomis Room 35.       Friday.                      2-4pm                      Simon Hu             xiyehu2@illinois.edu

ONLINE.             .       Saturday.                 2-4pm.                     Billy Passais.        passias2@illinois.edu

ONLINE.                     Sunday.                    2-4pm.                    Zihan Li.               zihanli6@illinois.edu

The ONLINE link for Saturday and Sunday office hours is:

Join Zoom Meeting
https://illinois.zoom.us/j/82539809595?pwd=bnpPYTRNTW5ZT0xDTGRja29VVHFTQT09
Meeting ID: 825 3980 9595
Password: P436

https://illinois.zoom.us/j/82539809595?pwd=bnpPYTRNTW5ZT0xDTGRja29VVHFTQT09
 

 

Week Date Prelectures Lectures Readings
Sections
from
Griffiths
4th Ed.
Homework Discussions Exams
1
Monday
8/23/2021

 

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

 

HW-1
pdf

 435 separation of variables

HW1Solution 

   
Tuesday
8/24/2021
       

Discussion 1
pdf

 
Wednesday
8/25/2021
  Lecture 2
Electric and Magnetic Fields in Matter Boundary conditions using D, E, B and H
pdf
    Discussion 1
Solution
pdf
 
Thursday
8/26/2021
           
Friday
8/27/2021
  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
8/30/2021
Prelecture 4
link
Lecture 4
Wave Equation, Plane Waves and Polarization
pdf
9.1
9.2.2

HW-2
pdf

435 AC Circuit Theory

HW2Solution

   
Tuesday
8/31/2021
        Discussion 2
pdf
 
Wednesday
9/1/2021
Prelecture 5
link
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 Monday 
8.1
8.2.3
9.2.3
  Discussion 2
Solution
pdf
 
Thursday
9/2/2021
           
Friday
9/3/2021
Prelecture 6
link
Lecture 6
EM Momentum Density, Total Momentum is Field plus Mechanical
Conservation of Total Momentum
pdf
8.2.3
9.2.3
     
3
Monday
9/6/2021
Labor Day Holiday
Tuesday
9/7/2021
     

HW-3
pdf

HW3Solution

Discussion 3
pdf
 
Wednesday
9/8/2021

Prelecture 7
link

Lecture 7
Maxwell Stress Tensor
pdf
8.2
8.2.2
  Discussion 3
Solution
pdf
 
Thursday
9/9/2021
           
Friday
9/10/2021
Prelecture 8
link
Lecture 8
Propagation of EM radiation in dielectrics, Polarization current densithy
Microscopic model of dielectric response
Complex dielectric function 
pdf
9.3.1      
4
Monday
9/13/2021
Prelecture 9
link
Lecture 9
Microscopic model of dielectric response
Complex dielectric function
pdf
9.4.3

HW-4
pdf

HW4Solution

   
Tuesday
9/14/2021
        Discussion 4
pdf
 
Wednesday
9/15/2021
Prelecture 10
link
Lecture 10
Phase Velocity, Fourier Transforms, Wave packets, Group Velocity
pdf
9.4.3   Discussion 4
Solution
pdf
 
Thursday
9/16/2021
           
Friday
9/17/2021
Prelecture 11
link
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
9/20/2020
Prelecture 12
link

Lecture 12
Reflection and Refraction at Dielectric Interfaces
pdf

Lecture12notes
pdf

9.3.2
9.3.3

HW-5
pdf

HW5Solution

   
Tuesday
9/21/2021
        Discussion 5
pdf
 
Wednesday
9/22/2021
Prelecture 13
link
Lecture 13
Propagation of light inside conductors
A modified wave equatio
pdf
9.4.1   Discussion 5
Solution
pdf
 
Thursday
9/23/2021
           
Friday
9/24/2021
Prelecture 14
link
Lecture 14
Reflection from conductors
Power reflection coefficient
pdf
9.4.2      
6
Monday
9/27/2021
Prelecture 15 Lecture 15
Propagation of coupled light/plasma waves
Transverse EM waves in a Weak Plasma
pdf
Notes

HW-6
pdf

HW6Solution

   
Tuesday
9/28/2021
        Discussion 6
pdf
 
Wednesday
9/29/2021
Prelecture 16

Lecture 16
Review of propagation of EM waves in matter
pdf

Apparent Weight of Photons (Pound Rebka Experiment)
pdf

Notes   Discussion 6
Solution
pdf
 
Thursday
9/30/2021
           
Friday
10/1/2021
Prelecture 17 Lecture 17
Waveguides I
pdf
9.5.1      
7
Monday
10/4/2021
Prelecture 18 Lecture 18
Waveguides II, Optical Fiber Modes
pdf
9.5.2
notes

HW-7
pdf

HW7Solution

   
Tuesday
10/5/2021
        Discussion 7
pdf
 
Wednesday
10/6/2021
Prelecture 19 Lecture 19
Microwave Cavity Resonators
pdf
9.5.3   Discussion 7
Solution
pdf
 
Thursday
10/7/2021
           
Friday
10/8/2021
Prelecture 20 Lecture 20
Time Dependent Potential Functions,  A(r,t) and V(r,t) 
pdf
10.1      
8
Monday
10/11/2021
Prelecture 21 Lecture 21
Gauge transformations including time dependence
Lorentz Gauge
Solution to Lorentz Gauge Potentials
pdf
Lecture on same topic from physics 505 (from page 277 on)
pdf
10.1      
Tuesday
10/12/2021
        Discussion 8
pdf
 
Wednesday
10/13/2021
Prelecture 22 Lecture 22
Solution to Lorentz Gauge Potential Problems
pdf
10.1   Discussion 8
Solution
pdf
Midterm Exam I
7-9 pm

Format:
Short Answer  
Topics in Lectures 1 - 16
Thursday
10/14/2021
         

 

Friday
10/15/2021
Prelecture 23 Lecture 23
Solution for time dependent potential functions
pdf
10.1
10/2/1
     
9
Monday
10/18/2021
Prelecture 24 Lecture 24
Electric Dipole Radiation
pdf
11.1      
Tuesday
10/19/2021
     

HW8
pdf

HW8 Solution
pdf

Discussion 9
pdf
 
Wednesday
10/20/2021
Prelecture 25 Lecture 25
Radiation from Accelerated Point Charges
Larmor Formula
pdf
11.2   Discussion 9
Solution
pdf
 
Thursday
10/21/2021
           
Friday
10/22/2021
Prelecture 26 Lecture 26
Radiation from a Polarization Wave
Non-Linear Optics
pdf
Notes      
10
Monday
10/25/2021
Prelecture 27 Lecture 27
Non-Linear Optics
The first part of these notes is the same as the notes for Lect 26
pdf
Notes      
Tuesday
10/26/2021
     

HW9
pdf

HW9Solution
pdf

Discussion 10
pdf
 
Wednesday
10/27/2021
Prelecture 28 Lecture 28
Non-Linear Optics
The first part of these notes is the same as the notes for Lect 26
pdf
Notes   Discussion 10
Solution
pdf
 
Thursday
10/28/2021
           
Friday
10/29/2021
Prelecture 29 Lecture 29
Applications of Nonlinear Optics
Second Harmonic Generation A bit on Gaussian Optics
pdf
Notes      
11
Monday
11/1/2021
Prelecture 30 Lecture 30
Electro-optics, EO modulators
pdf
Notes      
Tuesday
11/2/2021
     

HW10
pdf

HW10Solution
pdf

Discussion 11
pdf
 
Wednesday
11/3/2021
Prelecture 31 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   Discussion 11
Solution
pdf
 
Thursday
11/4/2021
           
Friday
11/5/2021
Prelecture 32 Lecture 32
Time/Position 4 vector Transformation Wave Vector 4 vector
Transformation≈
pdf
12.1      
12
Monday
11/8/2021
Prelecture 33 Lecture 33
Time/Position 4 vector
Transformation Energy/Momentum 4 vector
Transformation
pdf
12.1      
Tuesday
11/9/2021
        Discussion 12
pdf
 
Wednesday
11/10/2021
Prelecture 34 Lecture 34
Relativistic Equations of Particle Motion
What happens to F=ma in Special Relativity?
pdf
12.2   Discussion 12
Solution
pdf

Midterm Exam II
7-9 pm

Topics in Lectures 1 - 30

Thursday
11/11/2021
           
Friday
11/12/2021
Prelecture 35 Lecture 35
Covariant Electromagnetism    
How do Electric and Magnetic Fields transform from one IRF to another    
pdf
12.3      
13
Monday
11/15/2021
Prelecture 36 Lecture 36
Electric and Magnetic Fields from a Moving Charge
You have to transform coordinates and fields to do this!
pdf
12.3      
Tuesday
11/16/2021
     

HW11
pdf

HW11 Solution
pdf

Discussion 13
pdf
 
Wednesday
11/17/2021
Prelecture 37 Lecture 37
Field Pattern Transformations
pdf
12.3   Discussion 13
Solution
pdf
 
Thursday
11/18/2021
           
Friday
11/19/2021
Prelecture 38 Lecture 38
Field Pattern Tranformations
Maxwell's Equations in Relativistic Form
Discussion of Twin Problem
pdf
12.3      
14
Monday
11/22/2021
to
Friday
11/23/2021
Fall break
15
Monday
11/29/2021
Prelecture 39

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

       
Tuesday
11/30/2021
     

HW12
pdf

HW12 Solution
pdf

Discussion 14
pdf
 
Wednesday
12/1/2021
Prelecture 40 Lecture 40
Radiation from a Relativisitic Charge
Free Electron Lasers
pdf
Notes   Discussion 14
Solution
pdf
 
Thursday
12/2/2021
           
Friday
12/3/2021
Prelecture 41 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
12/6/2021
  Lecture 42
Lagrangian Formalism
pdf
       
Tuesday
12/7/2021
        Discussion 15
pdf
 
Wednesday
12/8/2021
  Lecture 43
Lagrangian Formalism (continued)
pdf
    Discussion 15
Solution
pdf
 
Thursday
12/9/2021
Reading Day
Xday
12/Y/2021
  Final Exam
Time TBD