Faculty of Engineering Handbook

ELECTROMAGNETIC THEORY


Subject Code:	EMG2016
Objective:	To develop an understanding of various concepts and theorems in electromagnetics and to illustrate some of their applications.
Pre-Requisite:	ECT1026 Field Theory
Credit Hours:	3
Contact Hours:	53 hours (lectures, tutorials and laboratory experiments)
Assesment:	Lab: 10% Test/Quiz: 20% Tutorial/Assignment: 10% Final Examination: 60%
Laboratory:	1. Microwave Frequency and SWR Measurement 2. Impedance Measurements and Matching
References:	Matthew Sadiku, "Elements of Electromagnetics", Oxford, 2001. D. K. Cheng, "Field and Wave Electromagnetics", Addison Wesley, 1989. S. V. Marshall, R. E. DuBroff, G. G. Skitek, "Electromagnetic Concepts and Applications", Prentice Hall, 1996. K. R. Demarest, "Engineering Electromagnetics", Prentice Hall, 1998. Fawwaz T. Ulaby, "Fundamentals of Applied Electromagnetics", Prentice Hall, 1997. J. D. Kraus, D. A. Fleisch, "Electromagnetics with Applications", Mc Graw Hill, 1999.

Course Contents

Review of Vector Calculus
Vector calculus: gradient, curl, divergence operations. Gauss’s, Stokes, Hemholtz and Green’s integral theorems.
Maxwell’s Equations and Uniform Plane Waves
Time Varying fields : Faraday’s Law of Induction, the conservation of charge and the incompleteness of Ampere’s Law. Maxwell’s equations and Lorentz force law. Uniform plane waves and wave equation. Time harmonic fields. Polarization of waves. Poynting’s Theorem and the conservation of energy, the field definitions of impedance, admittance. Phase and group velocities. Waves in media: lossy media, dispersive media.
Wave Propagation and Transmission Theory
Boundary conditions. Reflection and refraction at plane interface (normal and oblique angles), transmission line analogy. Transmission line theory: differential equations for a general transmission line, low loss and lossless lines, impedance characteristics of lines with various terminations, simple mismatch problems and the use of Smith Chart.
Waveguides and Cavity Resonators
Properties of waves in rectangular waveguides, modes of propagation, phase and group velocities in waveguide, wave impedance. Dielectric waveguides. Cavity resonators and field distribution. Applications in microwave oven. Cylindrical waveguide. Modes of propagation in step-index and graded-index optical fibres. Advantages of optical fibre. Loss and dispersion.

Learning Outcome of Subject

At the completion of the subject, students should be able to:

apply the gradient, curl and divergence operators to solve electromagnectic problems

explain Gauss, Helmholtz and Green's integral theorems, Maxwell's Equations, and Lorentz's force Law

apply Faraday's and Lorentz's force laws to calculate induced voltage

apply Maxwell Equations to derive the wave equation and to get the solution of uniform plane wave

describe the concept of wave polarization, propagation of wave in lossless and lossy media, Poynting's theorem, boundary condition and its effect on wave propagation, i.e. refraction and reflection for both normal and oblique incident angles

discuss the transmission line theory and the transmission/reflection parameters

use Smith chart to analyse transmission lines and to perform impedance matching

discuss the operating principles of waveguides and resonators, their characteristics and applications

undertake, under supervision, laboratory experiments to measure SWR, frequency and impedance matching.

Programme Outcomes (% of contribution)

Ability to acquire and apply fundamental principles of science and engineering - 60%

Capability to communicate effectively - 10%

Acquisition of technical competence in specialised areas of engineering discipline - 10%

Ability to identify, formulate and model problems and find engineering solutions based on a systems approach - 10%

Ability to work effectively as an individual, and as a member/leader in a team - 10%