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Wavefield focusing is often achieved by Time-Reversal Mirrors, wherewavefields emitted by a source located at the focal point are evaluated at aclosed boundary and sent back, after Time-Reversal, into the medium from thatboundary. Mathematically, Time-Reversal Mirrors are derived fromclosed-boundary integral representations of reciprocity theorems. Inheterogeneous media, Time-Reversal Focusing theoretically involves in- andoutput signals that are infinite in time and the resulting waves propagatethrough the entire medium. Recently, integral representations have been derivedfor single-sided wavefield focusing. Although the required input signals forthis approach are finite in time, the output signals are not and, similar toTime-Reversal Mirroring, the resulting waves propagate through the entiremedium. Here, an alternative solution for double-sided wavefield focusing isderived. This solution is based on an integral representation where in- andoutput signals are finite in time, and where the energy of the wavespropagating in the layer embedding the focal point is smaller than withTime-Reversal Focusing. We explore the potential of the proposed method withnumerical experiments involving a head model consisting of a skull enclosing abrain.

Wavefield Finite Time Focusing with Reduced Spatial Exposure