Electromagnetic Wave Propagation and Scattering, EI2420

Litterature: Jonsson + Ström Electromagnetic wave propagation and scattering, 2016. (Available at Student office at Borggården, Lindstedts väg 3 floor 4, for 150SEK).

2020 Lectures: References are to chapters in Jonsson + Ström.

16/1 Green’s functions and introduction to integral equations §1
17/1 Integral representation, bounded domain and exterior domain §2. Cherenkov radiation, (external material)

Please read the corresponding material before the class. The associated homework for Chapter 1 and as far as we come on Chapter 2 (in the book) will be for hand in next week.

Welcome,

Lars

### Choose semester and course offering

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

## Content and learning outcomes

### Course contents

• integral representations of electromagnetic fields by means of Green's functions to finite and unbounded regions of arbitrary geometry
• assumptions, estimates and approximations that are used in integral representations of electromagnetic fields
• to explicitly connect the field to the sources
• methods to solve integral equations in some typical cases
• equivalence principle for currents to represent electromagnetic fields
• design of and explanation of the approximations to determine the field from a reflector antenna
• numerical calculation of current distribution, scattering and/or reflection and transmission for typical cases as: wire antenna, reflector, stratified sphere and dipole over a horizontal surface
• vector spherical harmonics
• geometrical optics and physical optics
• the differential cross-section for different objects
• dipole above a conducting surface
• the null field method and properties of its T-matrix
• derivations of the integral equations in time domain from a given time harmonic integral equation to represent transient processes
• numerical labs with laboratory report.

### Intended learning outcomes

On successful completion of the course, the student should be able to solve and treat problems in parts of the field of wave propagation and scattering, as described in course content below.
For higher grades, the student should furthermore be able to, with progression in both completeness and width, solve problems from the whole course content analytically and numerically and be able to justify calculations in writing and explain simulation results.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

• Completed bachelor's thesis work.
• Electromagnetic Field Theory equivalent to EI1320 or both of EI1220 and EI1222.

### Recommended prerequisites

Mathematical Methods in Physics
Theory of Functions
EI2410 Field Theory for Guided Waves, is recommended
Some acquaintance with numerical softwares, like Matlab

### 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.

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

### Examination

• TEN1 - Examination, 7,5 hp, betygsskala: A, B, C, D, E, FX, 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.

### 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 EI2420

### Offered by

EECS/Electrical Engineering

### Main field of study

Electrical Engineering

### Education cycle

Second cycle

Ph.D. courses EI3200, EI3300 etc

Lars Jonsson

### Supplementary information

Written exam.

The class schedule is preliminary, and will be adjusted in such a way that as many as possible can attend the classes. This adjustment will happen at the third lectrue.

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