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On the degrees of freedom in the interaction between sets of elementary scatterers
Heldring, Alexander; Tamayo Palau, José María; Rius Casals, Juan Manuel
Universitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions; Universitat Politècnica de Catalunya. ANTENNALAB - Grup d´Antenes i Sistemes Radio
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.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal
Electromagnetic waves -- Scattering
Communication complexity
Ones electromagnètiques -- Dispersió
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