@article {2330,
	title = {Green{\textquoteright}s function formalism for phononic crystals},
	journal = {Physical Review B},
	volume = {69},
	year = {2004},
	pages = {064301 (17 pages)},
	abstract = {<p>We develop a Green{\textquoteright}s function multiple-scattering formalism for the calculation of the density of states and the local density of states of the elastic field in periodic and nonperiodic structures consisting of nonoverlapping scatterers in a homogeneous host medium. The formalism is based on concepts and techniques developed in relation to the similar problem of electrons in solids. We apply the method to a specific example which demonstrates the existence of virtual bound states of the elastic field localized about a plane of nonoverlapping steel spheres in polyester. These states are manifested as dips in the transmission spectrum of the monolayer. They develop into narrow frequency bands in a phononic crystal built by a succession of such planes.</p>},
	author = {R. Sainidou and N. Stefanou and A. Modinos}
}
