
ELECTROMAGNETISM
Prerequisites:

None. 
Examination methods:

Final examination based on homeworks and oral examination. 
Course unit contents:

The specific subjects covered will be:
Basic equations for electromagnetic fields
 Maxwell's equations
 Charge continuity equation
 Constitutive relations
 Continuity conditions
 The Helmholtz equation
 Magnetic vector potential
Polarization
 Steinmetz representation of timeharmonic vectors
 Properties of timeharmonic vectors
 Properties of the complex vectors
General theorems
 Poynting's theorem
 Uniqueness theorem
 Reciprocity theorem
 Spatial symmetries: the image theorem
Plane waves in isotropic media
 Solution of the homogeneous Helmholtz equation
 Plane waves: terminology and classification
 Traveling waves. Phase velocity
 Poynting vector and wave impedance
 Refection and refraction of plane waves
 Fresnel formulas
 Total reflection
 Refection on the surface of a good conductor
Numerical methods for electromagnetics
 The Finite Element Method
 The Beam Propagation Method
 The Finite Difference in the Time Domain method
Waveguides with conducting walls
 Homogeneously filled cylindrical structures
 Waveguides with ideal conducting walls
 Rectangular waveguides
 Circular waveguides and coaxial cables
Fundamentals of antenna theory
 Equivalent dipole moment of an extended source
 Far field approximations
 Short electriccurrent element
 Thin linear antennas
 Halfwavelength antenna
 Characterization of antennas: effective length, directivity, gain, input impedance
 Behavior of receiving antennas: reciprocity, effective area
 The Friis formula 

