Effective Vertical Modes And Horizontal Rays For Wave Propagation In Complex Inhomogeneous Ducts

TL;DRAbstract

: Wave propagation in complex inhomogeneous, quasi-layered, 3D media is addressed using multiresolution analysis (MRA). The complexity is characterized by a fast, finely structured, variation of the system heterogeneity in the vertical (stratification) direction, and a slow horizontal variation of the system heterogeneity and/or the vertical boundaries ("fast" and "slow" here are relative to the wavelength reference scale). The new formulation utilizes previous results (see [B.Z. Steinberg and J. Oz; this issue]) which show that the modal fields in a strictly stratified medium can be described by effective modes obtained via an MRA smoothing of the medium heterogeneity. We therefore use the MRA to derive a 3D effective inhomogeneous wave equation, expressed in terms of the large scale heterogeneities of the medium (the effective measures of the medium). In general this MRA introduces an effective anisotropy. The wave solution is then expressed as a s

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