Abstract
The propagation of acoustic waves in a medium with a periodic array of small inclusions of arbitrary shape is considered. The inclusion size a is much smaller than the array period. We show that global gaps do not exist if a is small enough. We introduce and study the concept of local gaps, which depends on the choice of the wave vector k . We analytically determine the location of local gaps for the Dirichlet and transmission problems.
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Schedule a callMore From: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
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