Distributed Wave Field Synthesis

Many problems in geophysics, acoustics,
elasticity theory, cancer treatment, food process
control and electrodynamics involve study of methods
for wave field reproduction in some form or another.
In the present work, wave field reproduction
problems are analysed as static problems, using
finite element methods and treating time as an
additional spatial dimension. It is shown that a
fully finite element-based scheme is a very natural
and effective way to solve such problems.

As a result, distributed wave field synthesis
(DWFS) is introduced as a wave field reproduction
method in the context of two-dimensional problems.
Incorporation of any geometric or material non-
linearities is shown to be straightforward. This
has significant implications for problems in
geophysics or biological media, where material
inhomogeneities are quite prevalent. Numerical
results are presented for several problems referring
to media with material inhomogeneities and
predefined absorption profiles. DWFS can be extended
to three-dimensional problems involving media with
anisotropic properties in a relatively
straightforward manner.

Autorentext

Georgios Nektarios Lilis received his B.S. degree in Electrical Engineering from National Technical University of Athens (N.T.U.A) in 2002 and M.S. and Ph.D. degree in Electrical Engineering from Cornell University in 2006 and 2008, respectively. His research interests lie in the general area of wave propagation phenomena in various media.

Klappentext

Many problems in geophysics, acoustics, elasticity theory, cancer treatment, food process control and electrodynamics involve study of methods for wave field reproduction in some form or another. In the present work, wave field reproduction problems are analysed as static problems, using finite element methods and treating time as an additional spatial dimension. It is shown that a fully finite element-based scheme is a very natural and effective way to solve such problems. As a result, distributed wave field synthesis(DWFS) is introduced as a wave field reproductionmethod in the context of two-dimensional problems.Incorporation of any geometric or material non-linearities is shown to be straightforward. Thishas significant implications for problems in geophysics or biological media, where material inhomogeneities are quite prevalent. Numerical results are presented for several problems referring to media with material inhomogeneities and predefined absorption profiles. DWFS can be extended to three-dimensional problems involving media with anisotropic properties in a relatively straightforward manner.