A comparison of two types of macro basis functions defined on LEGO electromagnetic bricks

Author

Lancellotti, V. ; Maaskant, R.

Author_Institution

Eindhoven Univ. of Technol., Eindhoven, Netherlands

fYear

2015

Firstpage

1

Lastpage

5

Abstract

Linear embedding via Green´s operators (LEGO) is a domain decomposition method that uses electromagnetic “bricks” to solve wave scattering problems. The algebraic form of the relevant functional equations (which are derived by invoking the surface equivalence principle) is a linear system characterized by a full and possibly large matrix. The size of the system can be effectively reduced by adopting macro basis functions defined on the surface of a brick through 1) the eigencurrents expansion method (EEM) and 2) the Adaptive Cross Approximation (ACA). The two methods lead to the same results, though the ACA macro basis functions are faster to compute.

Keywords

Green´s function methods; electromagnetic wave scattering; functional equations; matrix algebra; ACA; EEM; LEGO electromagnetic bricks; adaptive cross approximation; algebraic form; domain decomposition method; eigencurrents expansion method; functional equations; linear embedding via Green´s operators; linear system; macro basis functions; surface equivalence principle; wave scattering problems; Dielectrics; Eigenvalues and eigenfunctions; Electromagnetics; Indexes; Scattering; Surface impedance; Surface waves;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation (EuCAP), 2015 9th European Conference on

Type

conf

Filename

7228158