Maximizing Absorption and Scattering by Dipole Particles
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This is a review and tutorial paper which discusses the fundamental limitations on the maximal power which can be received, absorbed, and scattered by an electrically small electrically polarizable particle and infinite periodical arrays of such particles.
KeywordsDipole Extinction Absorption Scattering Plasmonics
Most of this text was written when the author was visiting the Technical University of Denmark (DTU Fotonik), in January–April 2013. Financial support from the Otto Mønsted Foundation and Aalto School of Electrical Engineering is appreciated. Special thanks to the host, prof. A. Lavrinenko, to Dr. A. Andryieuski for sharing his knowledge of the optical literature, and to prof. O. Breinbjerg for explaining that the reciprocity relation between the antenna gain and effective area can be used to find the maximum received power (Section 1). The last stages of this work got inspirations from discussions with prof. A. Alù (University of Texas at Austin), who kindly shared a preprint  with the author. Useful discussions with prof. C. Simovski (Aalto University) of extinction by particles in regular arrays are also acknowledged.
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