The aim of the course is to present the most advanced methodologies in computational electromagnetics for the analysis of propagation phenomena and design of high frequency components. Full numerical and semi-analytical techniques will be described in natural domain and spectral domain with a special focus on Finite methods and Wiener-Hopf technique. Ample space will be given to the detailed description of problems and their implementation. The knowledge provided in the course is applied to electromagnetics but it is a fundamental support for any physics application in the framework of computational science and engineering. PERIOD: March-May

Basic knowledge in Applied mathematics, Numerical Analysis, Electromagnetism, Complex Analysis, Programming

0) Introduction to computational electromagnetics: from analytical to numerical methods [1h] 1) Numerical approach of boundary value problem in electromagnetics (natural domain) [2h] 2) Fundamental theory for computational electromagnetics [2h] 3) Integral and Differential equation formulations [3h] 4) Vector expansion functions for 2D-3D problems (H(curl), H(div)) [4h] 5) Numerical implementation of finite methods (FEM, MoM,...) [4h] 6) Spectral domain representation of em problems (Laplace/Fourier 3D geometry transformation) [1h] 7) Integral equation formulation and spectral domain [2h] 8) Wiener-Hopf equation as particular case with large application: classical method [4h] 9) Mathematical theory of diffraction: the Sommerfeld?s diffraction problem [2h] 10) Extension of Wiener-Hopf technique to novel complex diffractive problems [5h] 15h PROF. GRAGLIA ROBERTO (topics 1,2,3,4,5) 15h PROF. LOMBARDI GUIDO (topics 0,6,7,8,9,10) Material on selected parts of the course available on the web portal. Also available on the web portal: information on course, course handouts.

In presenza

Presentazione report scritto - Presentazione orale

P.D.2-2 - Marzo

15h PROF. GRAGLIA ROBERTO (topics 1,2,3,4,5) 15h PROF. LOMBARDI GUIDO (topics 0,6,7,8,9,10) Material on selected parts of the course available on the web portal. Also available on the web portal: information on course, course handouts.