Author(s)

L. Fishman

Abstract

The wave field splitting/invariant imbedding/phase space approach to direct and inverse wave propagation in the frequency domain is outlined. The properties of the scattering and Dirichlet-to-Neumann operator symbols are briefly discussed with reference to an exact solution limiting case. 1. THEORY OUTLINE Due to the extremely large size of realistic three-dimensional ocean/atmospheric propagation problems, there is an understandable desire to incorporate marching (one-way) methods into the solution algorithm for the inherently elliptic, frequency-domain, scalar Helmholtz formulation. This has provided the impetus for the development of the so-called "marching elliptic methods" (Fishman [1]). While not quite an oxymoron, "marching elliptic meth

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