title: On the existence of guided acoustic waves at rectangular anisotropic edges.
abstract: The existence of acoustic waves with displacements localized at the tip of an isotropic elastic wedge was rigorously proven by Kamotskii, Zavorokhin and Nazarov. This proof, which is based on a variational approach, is extended to rectangular anisotropic wedges. For two high-symmetry configurations of rectangular edges in elastic media with tetragonal symmetry, a criterion is derived that allows identifying the boundary between the regions of existence for wedge modes of even and odd symmetry in regions of parameter space, where even- and odd-symmetry modes do not exist simultaneously. Furthermore, rectangular edges with non-equivalent surfaces are analyzed, and it is shown that at rectangular edges of cubic elastic media with one (110) surface and one (001) surface, a tip-localized guided wave always exists, apart from special cases that are characterized.
authors.affiliation: General Physics Institute, RAS, Moscow, Russian Federation; HS Offenburg - University of Applied Sciences, 77723 Gengenbach, Germany.
authors.forename: Pavel D
authors.initials: PD
authors.lastname: Pupyrev
authors.affiliation: General Physics Institute, RAS, Moscow, Russian Federation; HS Offenburg - University of Applied Sciences, 77723 Gengenbach, Germany.
authors.forename: Alexey M
authors.initials: AM
authors.lastname: Lomonosov
authors.affiliation: HS Offenburg - University of Applied Sciences, 77723 Gengenbach, Germany.
authors.forename: Aleksandar
authors.initials: A
authors.lastname: Nikodijevic
authors.affiliation: HS Offenburg - University of Applied Sciences, 77723 Gengenbach, Germany. Electronic address: andreas.mayer@hs-offenburg.de.
authors.forename: Andreas P
authors.initials: AP
authors.lastname: Mayer
keywords: Anisotropy; Surface acoustic waves; Wedge modes; Wedge waves