Electromagnetic modeling via integral equations
keywords COMPUTATIONAL ELECTROMAGNETICS, ALGORITHMS, ELECTROMAGNETISM, MODELLING, SIMULATION, SOFTWARE DEVELOPMENT
Reference persons FRANCESCA VIPIANA
External reference persons Prof. D. R. Wilton, University of Houston, US
Research Groups Applied Electromagnetics
Thesis type MASTER THESIS, SIMULATION
Description Surface integral equations have emerged as the dominant technology for electromagnetic modeling of large and complex structures such as naval, aerospace, satellite, and antenna structures with unknowns confined to body surfaces. For such problems, the accurate evaluation of singular integrals is critical. Even more crucial, however, are periodic and/or layered media problems, where the Green’s function calculation costs per sample point are often hundreds of times that for homogeneous media, and efficient methods with good accuracy are essential.
In this Thesis the application of the surface divergence theorem will be investigated to obtain a novel formula for the 4-D reaction integrals in the moment method solution of surface integral equations . The approach, to be developed within the proposed Thesis, is clearly novel and it is expected to become the “gold standard” in such evaluations, since it can achieve close to machine epsilon precision with a reasonable number of kernel evaluations.
The Thesis will be in collaboration with Prof. D. R. Wilton, University of Houston, US (http://ethw.org/Donald_R._Wilton).
Main reference: J. Rivero, F. Vipiana, D. R. Wilton, W. A. Johnson, “Evaluation of 4-D Reaction Integrals Via Double Application of the Divergence Theorem”, IEEE Transactions on Antennas and Propagation, Vol. 67, No. 2, Feb. 2019, pp. 1131-1142 [DOI 10.1109/TAP.2018.2882589].
Notes Experience with main programming languages (Matlab /Fortran/C/C++)
Deadline 03/12/2023 PROPONI LA TUA CANDIDATURA