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Updated: Mar 13, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
Band structure analysis of leaky Bloch waves in 2D phononic crystal plates
Matteo Mazzotti1, Marco Miniaci2, Ivan Bartoli1
1Civil, Architectural & Environmental Engineering Department, Drexel University, 3141 Chestnut St, Philadelphia, PA 19104, USA.
Abstract:
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 water-loaded Tungsten slab with square cylindrical cavities and a phononic crystal plate composed of Aurum cylinders embedded in an epoxy matrix.
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