John J. McCoy
School of Eng., Catholic Univ. of America, Washington, DC 20064
Ben Zion Steinberg
Tel-Aviv Univ., Tel-Aviv 69978, Israel
The theory of multiresolution decomposition, using orthogonal wavelets, has received considerable attention as a tool for signal processing and more recently for developing efficient numerical algorithms for the solution of a class of integral equations. Relatively few studies have been reported of its use to investigate fundamental physics of the across-length-scale coupling that is a critical component for understanding the response of complex dynamical systems. In the context of the scattering of acoustic signals by a complex subscale heterogeneity in an elastic plate, the accommodation of the subscale heterogeneity in prediction models for the full-scale response, via a precisely defined operator, is demonstrated. This operator is seen to be invariant under changes in either the problem forcing or in the full-scale geometry of the plate system.