title: Short wavelength approximation of a boundary integral operator for homogeneous and isotropic elastic bodies.
abstract: A short wavelength approximation of a boundary integral operator for two-dimensional isotropic and homogeneous elastic bodies is derived from first principles starting from the Navier-Cauchy equation. Trace formulas for elastodynamics are deduced connecting the eigenfrequency spectrum of an elastic body to the set of periodic rays where mode conversion enters as a dynamical feature.
authors.affiliation: School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
authors.forename: Gregor
authors.initials: G
authors.lastname: Tanner
authors.forename: Niels
authors.initials: N
authors.lastname: Søndergaard