Constrained power focusing of vector fields: an innovative globally optimal strategy

References

• Fenn AJ. Adaptive phased array thermotherapy for cancer. London: Artech House; 2008.
   Google Scholar
• Yavuz ME, Teixeira FL. Ultrawideband microwave sensing and imaging using time-reversal techniques: a review. Remote Sens. 2009;1:466–495.
   Web of Science ®Google Scholar
• Compton RG, Coles BA, Marken F. Microwave activation of electrochemical processes at microelectrodes. Chem. Commun. 1998;23:2595–2596.
   Web of Science ®Google Scholar
• O’ Callaghan JP. Sriram K. Focused microwave irradiation of the brain preserves in vivo protein phosphorylation: comparison with other methods of sacrifice and analysis of multiple phosphoproteins. J. Neurosci. Methods. 2004;135:159–68.
   PubMed Web of Science ®Google Scholar
• Wong TW. Use of microwave in processing of drug delivery systems. Curr. Drug Delivery. 2008;5:77–84.
   PubMedGoogle Scholar
• Fink M. Time reversal of ultrasonic fields. i. basic principles. IEEE Trans. Ultrason. Ferroelectr. Freq. Control. 1992;39:555–566.
   PubMed Web of Science ®Google Scholar
• Zastrow E, Hagness SC, VanVeen BD. 3D computational study of non-invasive patient-specific microwave hyperthermia treatment of breast cancer. Phys. Med. Biol. 2010;55:3611–3629.
   PubMed Web of Science ®Google Scholar
• Converse M, Bond EJ, VanVeen BD, Hagness SC. A computational study of ultra-wideband versus narrowband microwave hyperthermia for breast cancer treatment. IEEE Trans. Microw. Theory Technol. 2006;54:2169–2180.
   Web of Science ®Google Scholar
• Zastrow E, Hagness SC, Van Veen BD, Medow JE. Time-multiplexed beamforming for noninvasive microwave hyperthermia treatment. IEEE Trans. Biomed. Eng. 2011;58:1574–1584.
   PubMed Web of Science ®Google Scholar
• Isernia T, Panariello G. Optimal focusing of scalar fields with arbitrary upper bounds. Proc. Atti XI Riunione Nazionale di Elettromagnetismo (Italian), (XI RiNEm); 1996 October, Florence.
   Google Scholar
• Isernia T, Panariello G. Optimal focusing of scalar fields subject to arbitrary upper bounds. Electron. Lett. 1998;34:162.
   Web of Science ®Google Scholar
• Iero DAM, Isernia T, Morabito AF. Optimal constrained field focusing for hyperthermia cancer therapy: a feasibility assessment on realistic phantoms. Prog. Electromag. Res. 2010;102:125–141.
   Web of Science ®Google Scholar
• Iero DAM, Isernia T, Crocco L. Focusing time harmonic scalar fields in complex scenarios: a comparison. IEEE Antennas Wireless Propag. Lett. 2013;12:1029–1032.
   Web of Science ®Google Scholar
• Iero DAM, Isernia T, Crocco L. Focusing time harmonic scalar fields in non-homogenous lossy media: inverse filter vs. constrained power focusing optimization. Appl. Phys. Lett. 2013;103:093702-4.
   Web of Science ®Google Scholar
• Luenberger DG, Ye Y. Linear and nonlinear programming. 3rd ed. International series in operations research & management science. Springer; 2008.
   Google Scholar
• Hartmann AK, Rieger H. Optimization algorithm in physics. Berlin: Wiley-VCH Verlag; 2002.
   Google Scholar
• Lin J. Multiple-objective problems: pareto-optimal solutions by method of proper equality constraints. IEEE Trans. Autom. Control. 1976;21:641–650.
   Web of Science ®Google Scholar
• Caccavale L, Isernia T, Soldovieri F. Methods for optimal focusing of microstrip array antennas including mutual coupling. IEE Proc. Microw. Antennas Propag. 2000;147:199–202.
   Google Scholar
• Fuchs B, Fuchs JJ. Optimal polarization synthesis of arbitrary arrays with focused power pattern. IEEE Trans. Antennas Propag. 2011;59:4512–4519.
   Web of Science ®Google Scholar
• MATLAB. 2009. Users guide. Available from: http://www.mathworks.it.
   Google Scholar
• Bucci OM, Gennarelli C, Savarese C. Optimal interpolation of radiated fields over a sphere. IEEE Trans. Antennas Propag. 1991;39:1633–1643.
   Web of Science ®Google Scholar
• Bucci O, Isernia T. Electromagnetic inverse scattering: retrievable information and measurement strategies. Radio Sci. 1997;32:2123–2137.
   Web of Science ®Google Scholar
• Bucci O, Crocco L, Isernia T. Improving the reconstruction capabilities in inverse scattering problems by exploitation of close-proximity setups. J. Opt. Soc. Am. A. 1999;16:1788–1798.
   Google Scholar
• Richmond J. TE-wave scattering by a dielectric cylinder of arbitrary cross-section shape. IEEE Trans. Antennas Propag. 1966;14:460–464.
   Web of Science ®Google Scholar
• Wolpert DH, Macready WG. No free lunch theorems for optimization. IEEE Trans. Evol. Comput. 1997;1:67–82.
   Google Scholar
• Togni P, Rijnen Z, Numan WCM, et al. Electromagnetic redesign of the HYPERcollar applicator: toward improved deep local head-and-neck hyperthermia. Phys. Med. Biol. 2013;58:5997–6009.
   PubMed Web of Science ®Google Scholar