Field Intensity Shaping for Biomedical Applications: Preliminary Results with Linear Superposition of Focused Patterns

In this contribution, the aim is to design the complex excitations feeding a biomedical array applicator such to ensure uniform and maximum field intensity distribution inside a given region of interest, while keeping it under control in some other regions. This issue is relevant in several applications, including hyperthermia treatment planning and magnetic resonance radiofrequency shimming. To this end, the idea of superimposing single focused patterns for field intensity shaping is further developed and discussed. In particular, a smart procedure based on the minimization of the nuclear norm is introduced and discussed for the determination of linear superposition coefficients. Note that this procedure is also relevant in satellite and radio communications, as well as in antenna array synthesis theory.