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Subwavelength phononic bandgap opening in bubbly media

by H. Ammari and B. Fitzpatrick and H. Lee and S. Yu and H. Zhang

(Report number 2017-10)

Abstract
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.

Keywords: Minnaert resonance, bubble, phononic band gap, layer potentials, acoustic waves.

@Techreport{AFLYZ17_706,
  author = {H. Ammari and B. Fitzpatrick and H. Lee and S. Yu and H. Zhang},
  title = {Subwavelength phononic bandgap opening in bubbly media},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2017-10},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2017/2017-10.pdf },
  year = {2017}
}

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