TFYY67, Electrodynamics   PAGE CONTINUOUSLY UPDATED


Electric Field lines from a charged particle that is accelerated from zero velocity to a finite velocity and then continues with this constant velocity




Elektromagnetisk fältteori och vågutbredning



The course is for 40 hours. Approximately 32 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 2014

Seminarium: Lecture
Lektion:   Problem solving session 


Tid Kurs Lokal Undervisningstyp Lärare








13:15 - 15:00 TFYY67 E330 Seminarium Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


13:15 - 15:00 TFYY67 E328 Seminarium Bo Sernelius

15:15 - 17:00 TFYY67 E328 Lektion Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


13:15 - 15:00 TFYY67 E330 Seminarium Bo Sernelius

15:15 - 17:00 TFYY67 E330 Lektion Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


13:15 - 15:00 TFYY67 E328 Seminarium Bo Sernelius

15:15 - 17:00 TFYY67 E328 Lektion Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


13:15 - 15:00 TFYY67 E330 Seminarium Bo Sernelius

15:15 - 17:00 TFYY67 E330 Lektion Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


13:15 - 15:00 TFYY67 E328 Seminarium Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


08:15 - 10:00 TFYY67 E328 Seminarium Bo Sernelius


13:15 - 15:00 TFYY67 E328 Seminarium Bo Sernelius


10:15 - 12:00 TFYY67 E328 Seminarium Bo Sernelius


 




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 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 12-03-07   Solution

EXAM 12-05-23        Solution

EXAM 13-03-13        Solution

EXAM 13-06-04        Solution

EXAM 13-08-27        Solution


EXAM 14-03-19        Solution



EXAM 14-06-10        Solution



 

Homework problems (pdf-format)

Deadline for handing in solutions

HW1

2014-02-04

HW2

2014-02-18

HW3

2014-02-25

HW4

2014-03-12





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 was out of print 2012. It is now available again in paper back. Because of this I 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, 2013:



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) (LN7,8,   Selfstudy:LN6).

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).

P. 4

Problem solving. Problems  5.1a 5.1b, 6.1, 6.2a, 6.3.

Le. 11

Potentials and fields from moving point particles (Book chapter 8) (LN16 Selfstudy: LN 17)

Le. 12

Relativistic Electrodynamics (Book chapter 14)(LN18).

Le. 13

Relativistic Electrodynamics continued (Book chapter 14) (LN19)
Classical electron theory (Book chapter 10) (LN10)

Le. 14

Electromagnetic normal modes between two atoms and the van der Waals force (LN20)

Le. 15

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

Le. 16

Van der Waals interaction in graphene systems (LN21)

Last update: 2014-03-19 by Bo E. Sernelius