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.
@article{arxiv.1702.05317,
title = {Subwavelength phononic bandgap opening in bubbly media},
author = {Habib Ammari and Brian Fitzpatrick and Hyundae Lee and Sanghyeon Yu and Hai Zhang},
journal= {arXiv preprint arXiv:1702.05317},
year = {2017}
}