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3D field shaping is a canonical problem in wave physics that could impact next generation of therapeutic systems. In this framework, we present an innovative and effective strategy that relies on the convex relaxation of the original NP hard problem by taking inspiration from the optimal constrained power focusing method. The formulation presented in this paper in terms of convex programming allows...
The capability of controlling the spatial distribution of a field into a given scenario is relevant to many applications as different as hyperthermia treatment planning and wireless network optimization. In this respect, many strategies to focus the field into a target point have been presented, whereas the possibility of arbitrarily shaping a field still remains an open challenge. In this communication,...
In this communication, two novel focusing methods are introduced and assessed in designing a pre-clinic applicator for hyperthermia treatment. The first method is an optimized version of the well known Time Reversal approach, which preserves the method's original simplicity and effectiveness. The second one pursues the focusing task in highly controlled way, by exploiting the convexity of the problem...
In this communication, we report the comparison of two different methods to perform the beamforming task underlying microwave hyperthermia treatments. The first method belongs to the class of Time Reversal approaches, widely adopted in this applicative framework. The second method, rather new in this context and borrowed from antennas synthesis, pursues the focusing task within a constrained framework,...
This letter deals with the problem of focusing a time-harmonic wave into a target point embedded into a known complex scenario. In particular, we compare the performances of the Time Reversal approach and the Optimal Constrained Focusing technique, which relies on the formulation of the focusing problem in terms of convex programming. Both techniques guarantee a fast and adaptive design of effective...
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