ELECTROMAGNETISM

Second cycle degree in MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA (Ord. 2015) (discontinued)

Language: English

Teaching period: First Semester

Lecturer: ANTONIO DANIELE CAPOBIANCO

Number of ECTS credits allocated: 9

Syllabus
 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 time-harmonic vectors - Properties of time-harmonic 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 electric-current element - Thin linear antennas - Half-wavelength antenna - Characterization of antennas: effective length, directivity, gain, input impedance - Behavior of receiving antennas: reciprocity, effective area - The Friis formula