Wavefield Splitting and Extrapolation of the Two Dimensional Plasma Wave Equation
Wave splitting is an important technique in a great variety of studies concerning wave propagation. It is a class of methods of splitting the wave equation under consideration into one way wave equations, or physically splitting the wave field into two components with opposite propagation directions. In this paper, a new approach for wave splitting is presented to get a coupled one way wave system for the two dimensional plasma wave equation by using the theory and techniques of pseudo-differential operators. The coupled system and the original equation are equivalent in the sense that they are the same for the singularities propagating in non-glancing directions. A localized approximation of the nonlocal system is given and energy estimates of some related wavefield extrapolation problems, corresponding to the migration problem and wavefield downward continuation problem in exploration geophysics respectively, are obtained. An application of the system to an inverse potential problem is outlined.
Citable link to this pagehttps://hdl.handle.net/1911/101765
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