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arxiv: 1702.05317 · v1 · pith:O42J2LBQnew · submitted 2017-02-17 · 🧮 math.AP

Subwavelength phononic bandgap opening in bubbly media

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keywords phononicbandgapbubblesubwavelengthanalyticallyarbitrarilybubblycrystals
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The aim of this paper is to show both analytically and numerically the existence of a subwavelength phononic bandgap in bubble phononic crystals. The key is an original formula for the quasi-periodic Minnaert resonance frequencies of an arbitrarily shaped bubble. The main findings in this paper are illustrated with a variety of numerical experiments.

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