“…The geometric and physical properties of these crystals, such as the periodicities, the shape of the inclusions and the nature of the material, were chosen in several studies to have wide bands gap used in guiding (Wang et al, 2013), (Mohammadi et al, 2008), filtering and confining elastic waves to localize phononic modes in defects (cavities (Zhang et al, 2012), (He et al, 2013), for the purpose of manipulating the resonance frequencies of phononic modes that may participate in an interaction with an electromagnetic mode (Akimov et al, 2008), (Eichenfield et al, 2009b), (Sadat-Saleh et al, 2009), (Eichenfield et al, 2009a).…”