Circuit and Multipolar Approaches to Investigate the Balance of Powers in 2d Scattering Problems

Liberal, Iñigo; Ederra, I.; Gonzalo, R.; Ziolkowski, Richard W.

doi:10.2528/pier13081408

Cited by 2 publications

(2 citation statements)

References 31 publications

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“…It is worth noting that the same formulation can be applied to 2D structures [25]. In such a case, the series would simply run over all cylindrical harmonics…”

Section: Multi-mode Particlesmentioning

confidence: 99%

Least Upper Bounds of the Powers Extracted and Scattered by Bi-anisotropic Particles

Liberal

Ra’di

Gonzalo

et al. 2014

IEEE Trans. Antennas Propagat.

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Abstract-The least upper bounds of the powers extracted and scattered by bi-anisotropic particles are investigated analytically. A rigorous derivation for particles having invertible polarizability tensors is presented, and the particles with singular polarizability tensors that have been reported in the literature are treated explicitly. The analysis concludes that previous upper bounds presented for isotropic particles can be extrapolated to bianisotropic particles. In particular, it is shown that neither nonreciprocal nor magnetoelectric coupling phenomena can further increase those upper bounds on the extracted and scattered powers. The outcomes are illustrated further with approximate circuit model examples of two dipole antennas connected via a generic lossless network.

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“…It is worth noting that the same formulation can be applied to 2D structures [25]. In such a case, the series would simply run over all cylindrical harmonics…”

Section: Multi-mode Particlesmentioning

confidence: 99%

Least Upper Bounds of the Powers Extracted and Scattered by Bi-anisotropic Particles

Liberal

Ra’di

Gonzalo

et al. 2014

IEEE Trans. Antennas Propagat.

Self Cite

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“…where E 0 is the amplitude of the incident field. Similarly, the far-field scattering directivity is defined as follows [14], [28]…”

Section: Geometry and Notationsmentioning

confidence: 99%

Superbackscattering Antenna Arrays

Liberal

Ederra

Gonzalo

et al. 2015

IEEE Trans. Antennas Propagat.

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This article discusses the theory, design and practical implementation of superbackscattering antenna arrays. In analogy with Uzkov's maximal directivity theorem, it is demonstrated that the maximal backscattering cross-section, normalized to the wavelength squared, of a linear array of N isotropic scatterers whose separation tends to zero is N 2 (N + 1) 2 /(4π). This analytical result is validated via numerical optimization of the excitation coefficients, and the same procedure is utilized to assess the maximal backscattering of arrays of electric Hertzian dipoles (EHDs). It is found that electrically small arrays of two and three EHDs can enhance the backscattering by factors of 6.22 and 22.01, respectively, with respect to the maximum value generated by a single element. In addition, physical realizations of arrays featuring comparable enhancement factors can be straightforwardly designed by using a simple procedure inspired by Yagi-Uda antenna concepts. The practical implementations of such arrays based on copper wires and printed circuit technologies is also addressed.

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Circuit and Multipolar Approaches to Investigate the Balance of Powers in 2d Scattering Problems

Cited by 2 publications

References 31 publications

Least Upper Bounds of the Powers Extracted and Scattered by Bi-anisotropic Particles

Least Upper Bounds of the Powers Extracted and Scattered by Bi-anisotropic Particles

Superbackscattering Antenna Arrays

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