Abstract

AbstractA modified formulation of Floquet propagator is proposed to analyze free wave motion in homogeneous and periodic waveguides both in the Cartesian and in the polar coordinates. For homogeneous waveguides, it substantiates the application of a Wave Finite Element Method in polar coordinates. For radially periodic waveguides, it facilitates the application of conventional (i.e., used in Cartesian coordinates) criterion to identify frequency-wise positions of pass- and stop-bands. The application of the proposed methodology is illustrated by a simple example of a wave propagation problem governed by the Helmholtz equation (a dilatation wave in a membrane).KeywordsFloquet propagatorPolar coordinatesWFEMPeriodic structures

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