Title :
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
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;
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
