On the degrees of freedom in the interaction between sets of elementary scatterers

Author

Heldring, A. ; Tamayo, J.M. ; Rius, J.M.

Author_Institution

Dept. of Signal Theor.&Comm, Polytech. Univ. of Catalonia, Barcelona

fYear

2009

fDate

23-27 March 2009

Firstpage

2511

Lastpage

2514

Abstract

A series of numerical experiments has been executed to investigate the number of degrees of freedom in the interaction between large scattering bodies. The relation between degrees of freedom and operating frequency establishes the computational complexity for integral equation methods fast solvers based on matrix block compression. In 2D the theoretical asymptotic relation for large frequency soon becomes clear. On the other hand, in 3D even a tendency towards the asymptotic value fails to appear for bodies of hundreds of wavelengths in diameter.

Keywords

communication complexity; electromagnetic wave scattering; integral equations; matrix algebra; computational complexity; degrees-of-freedom; elementary scatterer; integral equation method; matrix block compression; operating frequency; theoretical asymptotic relation; Acceleration; Computational complexity; Electromagnetic measurements; Electromagnetic radiation; Electromagnetic scattering; Frequency; Integral equations; Iterative methods; Kernel; Moment methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation, 2009. EuCAP 2009. 3rd European Conference on

Conference_Location

Berlin

Print_ISBN

978-1-4244-4753-4

Electronic_ISBN

978-3-00-024573-2

Type

conf

Filename

5068125