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

Schedule

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Solution

Week Date Lecture Reading Homework Discussion Exam
1 Monday
8/27/2018

Lecture 1

Review Maxwell's Equations, Electrostatic Potential,

Magnetic Vector Potential

pdf

 

Griffiths Chapters 2, 3, 5

 

 

 

Griffiths Chapter 4, 6

 

 

 

Griffiths Chapter 7

 

Homework 1
(Due 5 PM on 9/04/2018.)

CartSepVar

Solution

Discussion-1

Solution

 
Wednesday
8/29/2018

Lecture 2

Electric and Magnetic Fields in Matter

Boundary conditions on D, E, B and H
pdf

 
Friday
8/31/2018

Lecture 3

Faraday's Law and the Ampere/Maxwell Law

Inductances and derivation of the Wave Equation
pdf

 
2 Monday
9/03/2018

No Lecture

Labor Day

 

Griffiths 9.1 and 9.2

 

 

 

 

 

 

Griffiths 8.1 and 8.2

Homework 2

Assigned 9/03, due

5 pm on 9/11

Solution

AC circuits

 

Discussion-2

Solution discussion-2

 
Wednesday
9/05/2018

Lecture 4

Wave Equation, Plane Waves and Polarization
pdf

 
Friday
9/07/2018

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 

 
3 Monday
9/10/2018

Lecture 6

EM Momentum Density, Total Momentum is Field plus Mechanical

Conservation of Total Momentum
pdf

Griffiths 9.3

Homework 3

 

Discussion 3

Solution 3

 
Wednesday
9/12/2018

Lecture 7

Maxwell Stress Tensor
pdf

 
Friday
9/14/2018

Lecture 8

Propagation of EM radiation in dielectrics, Polarization current densithy 
pdf

 
4 Monday
98/17/2018

Lecture 9

Microscopic model of dielectric response

Complex dielectric function

pdf

 

Griffiths 9.4.3 . Notes

 

 

 

Notes 

 

 

 

Notes

 

Homework 4

 

 
Wednesday
9/19/2018

Lecture 10

Phase Velocity, Fourier Transforms, Wave packets, Group Velocity
pdf

 
Friday
9/21/2018

Lecture 11

Review HW4

pdf

 
5 Monday
9/24/2018

Lecture 12

Birefringence 

pdf

Griffiths 9.3.2 and 9.3.3

Notes for useful formula

 

Notes

 

 

Griffiths 9.3 and notes

Homework 5

HW5hints

 

 

 
Wednesday
9/26/2018

Lecture 13

Faraday Effect and Magneto-Optical behavior

Note:  This is NOT Faraday's Law.  It's a separate discovery.
pdf

 

Wednesday
9/26/2018

530 - 620

Lecture 14

Reflection and Refraction at Dielectric Interfaces

Polarization in the Plane of Incidence

Brewster's Angle
pdf

 
6 Monday
10/01/2018

Lecture 15

Review of Hints for HW5

Finish Reflection at Dielectric Interfaces

Polarization out of Plane of Incidence

pdf of homework discussion

pdf of lecture

Griffiths 9.4 and notes

Homework 6

 

 
Wednesday
10/03/2018

Lecture 16

Propagation of EM waves in conductors and plasmas
pdf

 
Friday
10/05/2018

Lecture 17

Reflection of EM waves from conductors
pdf

 
7 Monday
10/08/2018

Lecture 18

Waveguides I

pdf

Griffiths 9.5 and notes

No Homework

Midterm next Monday

Discussion 7

Solution 7

 
Wednesday
10/10/2018

Lecture 19

Waveguides II
pdf

 
Friday
10/12/2018

Lecture 20

Waveguides III
pdf

 
8 Monday
10/15/2018

Lecture 21

Time dependent Potential Theory

pdf

Griffiths 10.1 and 10.2.1

Homework-7

 

Discussion 8

 

Exam, 7-830 pm

Loomis 144
 

Wednesday
10/17/2018

Lecture 22

Solution for time dependent potential functions
pdf

Lecture on same topic from physics 505 (from page 277 on)

pdf

 
Friday
10/19/2018

Lecture 23

Electric Dipole Radiation
pdf

 
9 Monday
10/22/2018

Lecture 24

Magnetic Dipole Radiation
pdf

Griffiths §

Notes

Homework 8

 

Discussion 9

Solution Discussion

 
Wednesday
10/24/2018

Lecture 25

Radiation from a Polarization Wave
pdf

 
Friday
10/26/2018

Lecture 26

Non-Linear Optics
pdf

 
10 Monday
10/29/2018

Lecture 27

Non-Linear Optics

The first part of these notes is the same as the notes for Lect 26
pdf
 

Notes

Homework 9

 

 
Wednesday
10/31/2018

Lecture 28

Applications of Nonlinear Optics

Second Harmonic Generation, Sum and Difference Freq Generation

A bit on Gaussian Optics
pdf

 
Friday
11/2/2018

Lecture 29

Electro-optic Effect,  EO modulators
pdf

 
11 Monday
11/05/2018

Lecture 30

Coordinate Transformations in Special Relativity

Lorentz Transformations
pdf

Griffiths §

Homework 10

 

Discussion 11

Discussion 11 Solution

 

 
Wednesday
11/07/2018

Lecture 31

Lorentz transformations of 4 vectors

Lambda Matrices and Covariant and Contravariant 4-vectors

pdf

Friday
11/09/2018

Lecture 32

Time/Position 4 vector Transformation

Wave Vector 4 vector Transformation≈

pdf

12 Monday
11/12/2018

Lecture 33

Time/Position 4 vector Transformation

Energy/Momentum 4 vector Transformationpdf

Griffiths §  

 

Discussion 12

Solution Discussion 12

 

Wednesday
11/14/2018

Lecture 34

Relativistic Equations of Particle Motion

What happens to F=ma in Special Relativity?
pdf

 
Friday
11/16/2018

Lecture 35

Covariant Electromagnetism

    How do Electric and Magnetic Fields transform from one IRF to another    
pdf

 
13 Monday
11/19/2018

No Lecture

 

 

 

 
Wednesday
11/21/2018

No Lecture

 
Friday
11/23/2018

No Lecture

 
14 Monday
11/26/2018

Lecture 36

Electric and Magnetic Fields from a Moving Charge

You have to transform coordinates and fields to do this!
pdf

Griffiths §

Homework 11

 


 

 

Wednesday
11/28/2018

Lecture 37

Field Pattern Transformations
pdf

Exam, 7-830 pm
Friday
11/30/2018

Lecture 38

Maxwell's Equations in Covariant Form

This means in terms of Lorentz Scalars, 4-vectors and 4-tensors.
pdf

 
15 Monday
12/03/2018

Lecture 39

Radiation from a Relativisitic Charge

Two ways to do this:  Field Transformations
pdf

Griffiths §

Homework 12

 

Discussion 14&15

Discussion 14&15 Solution

 
Wednesday
12/05/2018

Lecture 40

Radiation from a Relativisitic Charge

Two ways to do this:  Retarded Potentials

pdf

 
Friday
12/07/2018

Lecture 41

Finish Radiation from a Relativisitic Charge

pdf

 
16 Monday
12/10/2018

Lecture 42

Review I
pdf

    Same as discussion 14  
Wednesday
12/12/2018

Lecture 43

Review II

pdf

 

Tuesday

12/18/2018

130-430 pm

Loomis 144

Loomis 143

Final: 3 hours