Multiple-scattering theory for two-dimensional arbitrarily shaped acoustic composites

2016 ◽  
Author(s):  
Alejo Alberti ◽  
Ignacio Spiousas ◽  
Pablo Riera ◽  
Manuel Eguía
Keyword(s):  
Multiple Scattering ◽  
Scattering Theory ◽  
Two Dimensional ◽  
Multiple Scattering Theory

scholarly journals Multiple Scattering Theory for Space Filling Potentials

1990 ◽  
Vol 193 ◽  
Author(s):  
W. H. Butler ◽  
R. G. Brown ◽  
R. K. Nesbet
Keyword(s):  
Wave Equation ◽  
Multiple Scattering ◽  
Scattering Theory ◽  
Efficient Technique ◽  
Two Dimensional ◽  
Space Filling ◽  
Simple Modification ◽  
Multiple Scattering Theory ◽  
Partial Waves ◽  
Special Case

ABSTRACTMultiple scattering theory (MST) provides an efficient technique for solving the wave equation for the special case of muffin-tin potentials. Here MST is extended to treat space filling non- muffin tin potentials and its validity, accuracy and efficiency are tested by application of the two dimensional empty lattice test. For this test it is found that the traditional formulation of MST does not converge as the number of partial waves is increased. A simple modification of MST, however, allows this problem to be solved exactly and efficiently.

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