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Before choosing courseED2210 Electromagnetic Waves in Dispersive Media 6.0 creditsAdministrate About course

The course describes propagation, absorption and emission of electromagnetic waves in dispersive media, in particular in plasmas.

### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

* Retrieved from Course syllabus ED2210 (Spring 2021–)

## Content and learning outcomes

### Course contents

The course is divided into four modules:

• Basic properties of electromagnetic waves and Fourier analysis: At the beginning of the course, we will study the bases that are needed later in the course, primarily basic electromagnetics, the concept of plane waves, Fourier transforms and Green functions.
• Electromagnetic response of media: Here, we will study how different media react to electromagnetic fields. We will develop a general theory of homogeneous media and compare with traditional models from electrostatics and magnetostatics. Applications are studied for anisotropic media and dispersive media with resonances. Furthermore, a theory of the dielectric response of plasma will be developed and studied.
• Wave equations and the properties of waves: A general theory of waves in homogeneous media will be presented. Here, the wave equation is represented algebraically as an eigenvalue problem. A number of important examples will be studied in detail, including phenomena such as birefringence (with applications to quarter wave plates), Faraday rotation, and so-called cutoff-resonance pairs. The basic theory of plasma waves is presented and a number of important waves are studied, including plasma oscillations, Langmuir waves, ion-acoustic waves, Alfvén waves and compressible waves.
• Emission processes: Here, we focus on emission from individual charged particles. A general theory of wave emission is presented and Larmor formulas are derived with applications to bremsstrahlung, Thomson scattering and cyclotron emission.

### Intended learning outcomes

After passing the course, the student shall be able to

• use Maxwell's equations to formulate and explain electromagnetic wave equations in homogeneous media
• identify and categorise the symmetries of dielectric response tensors and their dispersive, anisotropic and dissipative properties
• derive dielectric response tensors for simple electromechanical media
• derive, analyse and solve wave equations for electromechanical media
• for a given wave-solution, analyse the dispersion relation, calculate group and phase velocities and the energy of the wave
• calculate and analyse how waves propagate in birefringent media and magnetized plasma
• describe how electromagnetic waves can be emitted from free charged particles and describe technical applications for these emission processes.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Completed course in electromagnetic theory equivalent to EI1220/EI1320.

Active participation in a course where the final examination is not yet reported in LADOK is considered equivalent to completion of the course.

Registering for a course is counted as active participation. The term 'final examination' encompasses both the regular examination and the first re-examination.

### Recommended prerequisites

Courses about mathematical methods in physics and functions of complex variables are recommended.

### Equipment

No information inserted

### Literature

No information inserted

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

### Grading scale

A, B, C, D, E, FX, F

### Examination

• TENA - Examination, 4,0 hp, betygsskala: A, B, C, D, E, FX, F
• ÖVNA - Exercises, 2,0 hp, betygsskala: P, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Other requirements for final grade

Passed result in assignments and a written examination. The results of these are weighted to a final grade.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web ED2210

### Offered by

EECS/Electrical Engineering

### Main field of study

Electrical Engineering, Engineering Physics

Second cycle

### Add-on studies

No information inserted

Thomas Jonsson

### Supplementary information

Replaces 2A1145.

In this course, the EECS code of honor applies, see: http://www.kth.se/en/eecs/utbildning/hederskodex.