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Frequency Domain Techniques for Antenna Analysis
The course aims to give the student an appreciation of the uses and limitations of frequency domain computational techniques applied to scattering and antenna problems. The module gives the student a thorough background in the methodology of these techniques from a fundamental standpoint, while giving a grasp of the practical applications. Emphasis will be given to the practical problems encountered in the implementation of the integral equation techniques (Method of Moments, linear systems, integration techniques, Green's functions, stratified media, convergence, singularities, periodic problems). Simple problems are considered to give an understanding of how the choices made in designing the algorithms translate into the real strengths and limitations of the software.

Course Topics

- Introduction to Frequency Domain Techniques  – A. Freni (UNIFI)

An overview on frequency domain methods. Mathematical aspects common to any frequency domain method. Review of basics of linear system solvers

- Introduction to the Method of Moments – Z. Sipus (UNIZAG)

Construction of Moment Method programs. Examples of development of Moment Method codes (thin wire antennas, slot antennas). Scattering from metallic objects. Body of Revolution problems. Analysis of lenses and focalizing structures.

- Mixed Potential formulations of some integral equations in Electromagnetics – J. Mosig (EPFL)

Integral equations for electrostatics problems in free space. Mixed potentials for electrodynamics (full-wave) problems: vector and scalar potential. The Mixed Potential Integral Equation (MPIE) and its associated Green's functions. Method of Moments (MoM) implementations of the MPIE. Multilayered media: The spectral domain. Associated Green's functions as Sommerfeld integrals.

- Periodic stuctures – A. Skrivervik (EPFL)

Definition of a periodic structure and examples of applications, eg. arrays, frequency selective surfaces and metamaterials. Periodic Green's functions in space and spectral domains. Grating lobes and blind spots. Convergence issues.

Course schedule: 25 hours

Basic electromagnetic theory,  Basic antenna theory

20 students

Student grant information:
A grant provided by COST VISTA will soon be available. Please check
Altair Engineering, Inc., IDS Ingegneria Dei Sistemi S.p.A, and CST Computer Simulation Technology AG will offer three course registration fees to students from non-profit institutions. For further information see 2015-Grant_Rules.pdf file at the end of this page.

Additional Info
The course gives 2 ECTS credits

How to reach
Please click <here> for details on how to get to the course location

Accommodation is not included in the course fee.

Further Information
To receive further information you can e-mail to

Prof. Angelo Freni, University of Florence, Florence, Italy.
Prof. Juan R. Mosig, Ecole Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland.
Location: Osservatorio Ximeniano, Borgo San Lorenzo 26, Florence, Italy
Date: 07/09/2015 - 11/09/2015
Contact Person:    Angelo Freni      E-mail:
Items in this section:
ATTENTION: the students may enter this folder and pay only after completing the registration procedure starting from the button "REGISTER TO THIS COURSE" below
File 2015-How_to_reach_the_Osservatorio_Ximeniano.pdf   (811 kB)
File 2015-Florence-Registration form.rtf   (683 kB)
File Syllabus-ESoA-course-Florence-2015_v8.pdf   (139 kB)
File 2015-Grant_Rules_Additional.pdf   (143 kB)
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