


Politecnico di Torino  
Academic Year 2012/13  
01OIILJ Applied electromagnetics 

1st degree and Bachelorlevel of the Bologna process in Telecommunications Engineering  Torino 





Subject fundamentals
This course deals with the study of the electromagnetic fields and their applications, especially in the domain of telecommunications. It provides the bases to understand and analyze the fundamental phenomena described in terms of the Maxwell equations, as the propagation along different types of transmission lines and the guided propagation of electromagnetic waves. The equivalent transmission lines formalism is also discussed, and the most common types of waveguides are presented. Likewise, aspects related to the radiation and to propagation in the free space of electromagnetic waves are considered.

Expected learning outcomes
After successful completion of the course, the student will be able to analyze simple transmission lines, also in the time domain, to carry out simple calculations on the scattering matrix of a network, to analyze single mode waveguides, also with elementary discontinuities. Moreover, expertise to handle timeharmonic analysis of plane electromagnetic waves, to analyze simple radiation problems and radiating structures described in the course will be acquired. Such skills can find their immediate applications in the design of components and subsystems at radio and microwave frequencies, all of fundamental importance in the modern communication systems.

Prerequisites / Assumed knowledge
All courses of Mathematics, Physics (especially Electromagnetism), Signal analysis and processing, and relevant prerequisites.

Contents
Introduction (3h):
General description of the most significant telecommunication systems: mobile phone, radar, satellite communications, and identification of their most important elements. Selfevaluation test. Transmission lines (24h): Distributed parameters circuits: transmission lines equations in time and frequency domain and their solution. Single frequency and wide band matching. Examples of transmission lines: coaxial line, twin wires, microstrip. Definition of impedances, reflection coefficient, power. The scattering matrix. Smith Chart. Lossy transmission lines. Impedance matching techniques. Transmission line analysis in time domain: dispersive lines on matched load. Group velocity and phase velocity. Distortion analysis of narrow band signals and pulses, nondispersive lines closed on nondispersive mismatched loads. Microwave components (6h): Study and characterization of different microwave components by the scattering matrix: matching networks, power dividers, directional couplers, cavities, filters, generators. Waveguides (12h): General concepts on waveguides: wave equations, modes and their properties, modal lines and impedances, propagation constants, modal eigenfunctions. Examples: the rectangular metallic waveguide. Waveguide discontinuities. Generators and matching. Return loss measurement in waveguide system. Stratified dielectric structures, planar waveguides, general concepts of optical fibers and dielectric waveguides. Propagation in unbounded media (9h): Electromagnetic fields, Maxwell equations and their solution. Wave equation in homogeneous media. Boundary conditions. Plane waves, electromagnetic properties of materials. Radiation and Antennas (21h): Plane and spherical wave propagation, polarization of electromagnetic fields. Solution of nonhomogeneous Maxwell equations: Radiation from sources: dipoles, extended sources. Equivalence theorem. Reciprocity theorem, Antennas and definition of their characteristic parameters: gain, directivity, effective area, EIRP, radiation impedance. Friis transmission equation. Radar equation. Wire antennas, aperture antennas, reflectors. Arrays. Labs (9h) 
Delivery modes
Lectures (50h) and exercises (34h) on the content of the lectures; computational electromagnetics exercises in the Laboratory (Matlab); laboratory trainings: (i) measurements on slotted lines, (ii) measurements with Network Analyzer of different microstrip components, (iii) measurement of the of radiation characteristics of antennas (radiation pattern and gain). Laboratory activity is carried out autonomously by small teams under supervision of a tutor.

Texts, readings, handouts and other learning resources
Lecture notes (texts and slides copies) prepared by the instructor(s).
Moreover, as auxiliary texts (i) R. E. Collin, "Foundations for microwave engineering", McGrawHill, 1992. (ii) D.M. Pozar, "Microwave engineering", Addison Wesley, 1990. (iii) C.R.Paul, "Electromagnetics for engineers", Wiley, 2004. 
Assessment and grading criteria
Written and oral examinations.

