Advanced Electromagnetism
Code
11512
Academic unit
Faculdade de Ciências e Tecnologia
Department
Departamento de Física
Credits
3.0
Teacher in charge
António Carlos Simões Paiva
Weekly hours
3
Total hours
42
Teaching language
Português
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.
Prerequisites
Electromagnetism
Analysis I, II e III
Subject matter
Vector Analysis
Basic Laws of Vector Algebra
Orthogonal Coordinate Systems
Differential Calculus
The Dirac Delta Function
Maxwell’s Equations
Magnetic Charge
Maxwell’s Equations in Matter
Boundary Conditions
Conservation Laws
Charge and Energy
The Continuity Equation
Poynting’s Theorem
Momentum
Newton’s Third Law in Electrodynamics
Maxwell’s Stress Tensor
Conservation of Momentum
Angular Momentum
Magnetic Forces Do No Work
Electromagnetic Waves
Waves in One Dimension
The Wave Equation
Sinusoidal Waves
Boundary Conditions: Reflection and Transmission
Polarization
Electromagnetic Waves in Vacuum
The Wave Equation for E and B
Monochromatic Plane Waves
Energy and Momentum in Electromagnetic Waves
Electromagnetic Waves in Matter
Propagation in Linear Media
Reflection and Transmission at Normal Incidence
Reflection and Transmission at Oblique Incidence
Absorption and Dispersion
Electromagnetic Waves in Conductors
Reflection at a Conducting Surface
The Frequency Dependence of Permittivity
Guided Waves
Wave Guides
TE Waves in a Rectangular Wave Guide
The Coaxial Transmission Line
Potentials and Fields
The Potential Formulation
Scalar and Vector Potentials
Gauge Transformations
Coulomb Gauge and Lorenz Gauge
Lorentz Force Law in Potential Form
Continuous Distributions
Retarded Potentials
Jefimenko’s Equations
Point Charges
Liénard-Wiechert Potentials
The Fields of a Moving Point Charge
Radiation
Dipole Radiation
What is Radiation?
Electric Dipole Radiation
Magnetic Dipole Radiation
Radiation from an Arbitrary Source
Point Charges
Power Radiated by a Point Charge
Radiation Reaction
The Mechanism Responsible for the Radiation
Reaction
Bibliography
D. J. Griffiths,Introduction to Electrodynamics, 4/E, Cambridge Press, 2013
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 of Students
Test 1, MCQ (30%)
Take home TP1 (20%)
Test 2, MCQ (30%)
Take home TP2 (20%)