## Objectives

The aim of this course is to provide an advanced knowledge of the theory of classical electromagnetism. At the end of this course the student will have acquired knowledge, skills and competencies in:

• Physical processes related to dynamic electromagnetic systems;
• Physical processes related to the propagation of electromagnetic waves in space;
• Physical processes related to the propagation of electromagnetic waves in matter.

## General characterization

11512

3.0

##### Responsible teacher

António Carlos Simões Paiva

Weekly - 2

Total - 42

Português

### Prerequisites

Electromagnetism

Analysis I, II e III

### Bibliography

Recommended

F. T. Ulaby, Fundamentals of Applied Electromagnetics, 7/Ed, Prentice-Hall, 2017.

Secondary

John F. Cochran and Bretislav Heinrich,  Applications of Maxwell’s Equations Open Education Resource (OER) LibreTexts Project.

R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics II

Jorge Loureiro, Eletromagnetismo e Ótica, IST Press, 2019

D. J. Griffiths, Introduction to Electrodynamics, 4/Ed, Cambridge Press, 2017

P. Lorrain, D. Corson and F. Lorrain, Electromagnetic Fields and Waves, 2/E, Freeman, 1988

### Teaching method

The course is divided in lectures and problem solving sessions. The lectures will be held in two sessions each week, lasting 45 min and include four assessment tests.

The problem solving sessions will be delivered twice a week, lasting 45 min each. These sessions aim the discussions of the physical phenomena introduced in the lectures.

### Evaluation method

Evaluation

Test or Final Exam.

## Subject matter

1 MATHEMATICAL PRELIMINARIES
1.1 The gradient of a scalar field
1.2 The divergence and the divergence theorem
1.3 Curl and Stokes’ theorem
2 MAXWELLS EQUATIONS
2.1 The Equation of Continuity
2.3 Maxwell''''s Equations
2.5 The Microscopic Field Equations
3 ELECTROMAGNETIC WAVES
3.1 Electromagnetic Waves in Free Space
3.2 Plane Waves and Polarization
3.3 Energy in Electromagnetic Waves
4 ELECTROMAGNETIC WAVES IN DIELECTRICS: REFLECTION AND REFRACTION
4.1 Plane Waves in Isotropic Insulating Media
4.2 The Reflection and Transmission of Electromagnetic Waves
4.2.1 Boundary Conditions on Electric and Magnetic Fields
4.2.2 Reflection and Transmission at Dielectric Boundaries
4.2.3 Polarization by Reflection
5 ELECTROMAGNETIC WAVES IN DIELECTRICS: DISPERSION AND ABSORPTION
5.1 Dispersion
5.2 The Absorption of Plane Waves
6 ELECTROMAGNETIC WAVES IN CONDUCTORS: ABSORPTION AND REFLECTION
6.1 The Absorption of Plane Waves in Conductors
6.2 The Skin Effect
6.3 Reflection at Metallic Boundaries
7 GUIDED WAVES
7.1 The Propagation of Waves Between Conducting Plates
7.2 Rectangular Waveguides
7.2.1 TE Modes in a Rectangular Waveguide
7.3 Transmission Lines
7.3.1 Propagation of Signals in a Lossless Transmission Line
7.3.2 Practical Types of Transmission Line
7.3.3 The Parallel Wire Transmission Line
7.3.4 The Coaxial Cable
7.3.5 Reflections
7.3.6 The Input Impedance of a Mismatched Line
7.3.7 Lossy Lines
8 THE GENERATION OF ELECTROMAGNETIC WAVES
8.1 The Retarded Potentials
8.2 The Hertzian Dipole
8.3 Antennas

## Programs

Programs where the course is taught: