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 minicourse in complex analysis for those who want to refresh their knowledge in the matter, is available in the form of selfstudies.
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, nonrelativistic 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.
Seminarium: Lecture
Lektion: Problem solving session
Homework problems (pdfformat) 
Deadline for handing in solutions 
20140204 

20140218 

20140225 

20140312 
For students that want to fresh up on complex analysis 


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 webpage.
The content of the course is defined by the book Classical Electromagnetic Radiation, 3rd edition, chapters 114. 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.
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:
811 points (homework+written exam) grade
3
1215 points grade
4
1620 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
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) 
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: 20140319 by Bo E. Sernelius