{ "id": "1702.05317", "version": "v1", "published": "2017-02-17T12:21:15.000Z", "updated": "2017-02-17T12:21:15.000Z", "title": "Subwavelength phononic bandgap opening in bubbly media", "authors": [ "Habib Ammari", "Brian Fitzpatrick", "Hyundae Lee", "Sanghyeon Yu", "Hai Zhang" ], "comment": "4 figures", "categories": [ "math.AP" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-02-17T12:21:15.000Z" } ], "analyses": { "subjects": [ "35R30", "35C20" ], "keywords": [ "subwavelength phononic bandgap opening", "bubbly media", "quasi-periodic minnaert resonance frequencies", "main findings", "original formula" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }