A field expansions method for scattering by periodic multilayered media
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paper18_malcolm_fieldexpand_2010.pdf
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Author(s)
Malcolm, Alison E.
Date Issued
2010
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;2010-18
Abstract
The interaction of acoustic and electromagnetic waves with periodic structures plays an important role
in a wide range of problems of scientific and technological interest. This contribution focuses upon the
robust and high-order numerical simulation of a model for the interaction of pressure waves generated
within the earth incident upon layers of sediment near the surface. Herein is described a Boundary
Perturbation Method for the numerical simulation of scattering returns from irregularly shaped periodic
layered media. The method requires only the discretization of the layer interfaces (so that the number of
unknowns is an order of magnitude smaller than Finite Difference and Finite Element simulations), while
it avoids not only the need for specialized quadrature rules but also the dense linear systems characteristic
of Boundary Integral/Element Methods. The approach is a generalization to multiple layers of Bruno &
Reitich's "Method of Field Expansions" for dielectric structures with two layers. By simply considering
the entire structure simultaneously, rather than solving in individual layers separately, the full field can
be recovered in time proportional to the number of interfaces. As with the original Field Expansions
method, this approach is extremely efficient and spectrally accurate.
Subjects
Scattering
Modeling
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