TFYY67, Electrodynamics   PAGE CONTINUOUSLY UPDATED 

Let us try having a problem solving session tomorrow Feb 8.

Then I do not have to talk so much.




Elektromagnetisk fältteori och vågutbredning



The course is for 34 hours. Approximately 26 hours are lectures and the remaining time will be spent on problem solving. The lectures and problem solving sessions are given by Bo E. Sernelius.

An extra mini-course in complex analysis for those who want to refresh their knowledge in the matter, is available in the form of self-studies. 

The lectures will be presented in traditional style but questions and discussions are highly appreciated. During the problem solving sessions, you are encouraged to work in small groups where you can discuss different solution methods etc. You will also be given four homework problems (see examination below). These problems are intended to stimulate you to work hard on problem solving during the course. It is by solving problems you really learn the material.

The main goal of the course is to make you familiar with Maxwell's equations and how they are applied to problems of technological interest (antennas, wave guides, diffraction etc.). Maxwell's theory is very beautiful and appealing, not least because of its close relation to today's technology, more than hundred years after it was founded. Furthermore, Maxwell's equations are special in that they look the same in classical mechanics, non-relativistic quantum mechanics, relativistic mechanics and in relativistic quantum mechanics.

A new topic will be touched upon from 2008 and onwards: Electromagnetic normal modes and dispersion forces. The normal modes, solutions to Maxwell's equations in absence of external sources, give rise to many phenomena like surface tension and forces between objects. An extra chapter in the lecture notes is devoted to this new topic.


Before the reduction in hours Each chapter of the lecture note covered one lecture.  Now, some of the chapters are lefts for self study, some are only summarized at the lecture and some come in a different order; one chapter is new. See the plan for the lectures and problem solving sessions further down the page.



Schedule 2012

Le: Lecture
P:   Problem solving session  

Vecka 3, 2012

Kurs

Lokal

Moment

Studentgrp

Lärare

Anmärkning

 

Tis

17 jan

13:15-15:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 Le

 

Ons

18 jan

10:15-12:00

TFYY67

E330

Seminarium

 

Bo Sernelius

 Le

 

Vecka 4, 2012

 

Tis

24 jan

13:15-15:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 Le

 

 

 

15:15-17:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 P

 

Ons

25 jan

10:15-12:00

TFYY67

E330

Seminarium

 

Bo Sernelius

 Le

 

Vecka 6, 2012

 

Tis

7 feb

13:15-15:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 Le

 

 

 

15:15-17:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 P

 

Ons

8 feb

10:15-12:00

TFYY67

E330

Seminarium

 

Bo Sernelius

 Le

 

Vecka 7, 2012

 

Tis

14 feb

13:15-15:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 Le

 

 

 

15:15-17:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 P

 

Ons

15 feb

10:15-12:00

TFYY67

E330

Seminarium

 

Bo Sernelius

 Le

 

Vecka 8, 2012

 

Tis

21 feb

13:15-15:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 Le

 

 

 

15:15-17:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 P

 

Ons

22 feb

10:15-12:00

TFYY67

E330

Seminarium

 

Bo Sernelius

 Le

 

Vecka 9, 2012

 

Mån

27 feb

08:15-10:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 Le

 

Tis

28 feb

13:15-15:00

TFYY67

E328

Seminarium

 

Bo Sernelius

 Le

 

Ons

29 feb

10:15-12:00

TFYY67

E330                                                               Le

 






































Lecture notes



1.  Introduction, Fund. of static electromagn.

15.  Retarded potentials

2.  Fund. of static electromagn. contin.

16.  Potentials from moving particles

3.  Multipole expansions

17.  Antennas

4.  Laplace's and Poisson's equations

18.  Relativistic electrodynamics.

5.  Conformal mapping

19.  Continued

6.  Application of conformal mapping

 20. Electromagnetic normal modes and dispersion forces

7.  Method of images

 21. Graphene

8.  Dynamic electromagnetism

 

9.  Electromagnetic waves

 

10. Classical electron theory 


11. Plane waves in conducting media


12. Reflection and refraction


13. Reflection from a metallic surface


14. Wave guides and applications




 


 













EXAM 07-03-16,  Solution


EXAM 07-08-22,  Solution


EXAM 08-03-11,  Solution


EXAM 08-06-03,   Solution


EXAM 09-03-11,   Solution


EXAM 09-06-10    Solution


EXAM 10-03-12    Solution


EXAM 10-06-09   Solution

EXAM 10-08-24   Solution

EXAM 11-03-16   Solution

EXAM 11-06-08   Solution



HandoutMaterial at Examination


(Not needed year 2012)





 

Homework problems (pdf-format)

Deadline for handing in solutions

HW1

2012-02-08 Note New deadline

HW2

2012-02-15 Note New deadline

HW3

2012-02-22

HW4

2012-02-29





For students that want to fresh up on complex analysis

KKKA4

KKKA1

KKKA5

KKKA2

KKKA6

KKKA3






Literature

I will follow the book Classical Electromagnetic Radiation, 3rd edition by Heald & Marion (Saunders College Publ., 1995). This book is available at Bokakademin and at Akademibokhandeln.
Note: The textbook seems to be out of print this spring. It is scheduled to be available again in paper back in the fall of 2012. Because of this I have let Bokakademin print my lecture notes. These are allowed to bring to the exam this year.

A complement for those who like to study the subject in more detail is Electrodynamics, 3rd edition by J. D. Jackson (Wiley & Sons), ISBN: 047130932X. This book can be bought from Heffers Booksellers (http://www.heffers.co.uk/) at a very good price. But please note that only the main text book will be allowed to bring to the examination (and the version of my lecture notes sold by Bokakademin).
Collection of problems in electrodynamics by Bo E. Sernelius (Bokakademin).
Some additional material will be  be published on this web page during the course.
I keep the exams and solutions for the last three years available on this web-page.



Content

The content of the course is defined by the book Classical Electromagnetic Radiation, 3rd edition, chapters 1-14. Texts concerning a few additional topics not covered in this book will be distributed during the lectures. The course starts with a short overview of static fields and Maxwell's equations. In relation to electrostatics we will discuss a number of methods to solve the Laplace's equation, e.g., variable separation, image charges, multipole expansion, conformal mapping.

Turning to electrodynamics, you will notice that this subject can be divided into different parts; generation of waves; wave propagation; how the electromagnetic fields are affected by matter; and how matter is affected by electromagnetic waves. The first part contains charged particles in motion and antenna theory; the second how the fields propagate in vacuum, in different type of materials or in wave guides; the third contains phenomena like refraction, reflection, interference and diffraction, etc.; the forth surface energy, surface tension, dispersion forces etc.

Examination

The examination contains 4 problems and each correctly solved problem gives 4 points. In addition, four homework problems will be handed out during the course.
Each correctly solved homework problem gives 1 point. For deadlines to hand in the solutions to the homework problems, see above. 

Allowed to bring to the examination :

The text book Classical Electromagnetic Radiation, 3rd edition by Heald & Marion
The Lecture notes: Classical Electrodynamics by Bo E. Sernelius
Physics handbook
English Dictionary
Electronic Calculator

The preliminary requirements for grade 3 to 5 are the following:
                                                                                                            
8-11 points (homework+written exam)  grade 3                                                      
12-15 points  grade 4                                                                                             
16-20 points  grade 5                                                                                              

The course gives 6 hp.

All the best,

Bo E. Sernelius, examiner
Room: G312
Phone: (+46) (0)13 28724
Fax: (+46) (0)13 137568
Email:  bos@ifm.liu.se 



Preliminary plan for the lectures in Classical Electrodynamics, 2012:



Le. 1 

Introduction, unit system, and Fundamentals of static electromagnetism (Book chapter 1) (LN1).

Le. 2 

Fundamentals continued. Boundary conditions (Book chapter 1) (LN2).

Le. 3 

Multipole expansion (chapter 2) (LN3). 

P. 1

Problem solving.  Problems 1.1, 1.3, 1.4, 1.11  Try to solve the following before the lecture: 1.2, 1.8, 1.9

Le. 4 

Laplace's and Poisson's equations short version (Book chapter 3 ), Conformal mapping (LN4,5) .

Le. 5

Method of Images (very brief), Dynamic electromagnetism. Maxwell's equations (Book chapter 4) (LN8,   Selfstudy:LN6,7)).

P. 2

Problem Solving.  Problems 2.1, 2.2, 2.3, 2.4

Le. 6

Electromagnetic fields in dielectric and in conducting media, complex representation, Poynting's theorem (Book chapter 5) (LN9).

Le. 7 

Plane Waves in Conducting Media. (LN11).

Le. 8

Fresnel equations (Book chapter 6) (LN12).

P. 3

Problem solving.  Problems3.1, 4.1, 3.2, 3.3, 4.2, 4.3.

Le. 9

Total internal reflection and multilayers (LN13). 

Le. 10

Retarded potentials (Book chapter 8) (LN15  Selfstudy: LN14, 16, 17, 18).

P. 4

Problem solving. Problems  6.1, 6.2a, 6.3, 6.4.

Le. 11

Classical electron theory (Book chapter 10), Electromagnetic normal modes between two atoms and the van der Waals force (LN10,20)

Le. 12

Retardation effects and the Casimir force. Modes in bulk and between half spaces (LN20).

Le. 13

Van der Waals interaction in graphene systems (LN20)







Last update: 2012-01-24, by Bo E. Sernelius