Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional wave propagation in layered periodic media   We study two-dimensional wave propagation in materials whose properties vary
periodically in one direction only. High order homogenization is carried out to
derive a dispersive effective medium approximation. One-dimensional materials
with constant impedance exhibit no effective dispersion. We show that a new
kind of effective dispersion may arise in two dimensions, even in materials
with constant impedance. This dispersion is a macroscopic effect of microscopic
diffraction caused by spatial variation in the sound speed. We analyze this
dispersive effect by using high-order homogenization to derive an anisotropic,
dispersive effective medium. We generalize to two dimensions a homogenization
approach that has been used previously for one-dimensional problems.
Pseudospectral solutions of the effective medium equations agree to high
accuracy with finite volume direct numerical simulations of the
variable-coefficient equations.

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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess