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The problem of determining a current density confined to a volume frommeasurements of the magnetic field it produces exterior to that volume is knownto have non-unique solutions. To uniquely determine the current density, or thenon-silent components of it, additional spatial encoding of the electriccurrent is needed. In biological systems such as the brain and heart, whichgenerate electric current associated with normal function, a reliable means ofgenerating such additional encoding, on a spatial and temporal scale meaningfulto the study of such systems, would be a boon for research. This paper exploresa speculative method by which the required additional encoding might beaccomplished, on the time scale associated with the propagation of sound acrossthe volume of interest, by means of the application of a radially encodingpulsed acoustic spherical wave.

Current Density Imaging through Acoustically Encoded Magnetometry: A Theoretical Exploration