Band structure analysis of leaky Bloch waves in 2D phononic crystal plates

A hybrid Finite Element-Plane Wave Expansion method is presented for the
band structure analysis of phononic crystal plates with two dimensional lattice
that are in contact with acoustic half-spaces. The method enables the computation
of both real (propagative) and imaginary (attenuation) components of
the Bloch wavenumber at any given frequency.
Three numerical applications are presented: a benchmark dispersion analysis
for an oil-loaded Titanium isotropic plate, the band structure analysis of a waterloaded
Tungsten slab with square cylindrical cavities and a phononic crystal
plate composed of Aurum cylinders embedded in an epoxy matrix.