Scattering properties of a 
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 dipole

Staliūnas, Kęstutis; Markoš, Peter; Kuzmiak, Vladimír

doi:10.1103/physreva.96.043852

Cited by 9 publications

(6 citation statements)

References 26 publications

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“…1 -which is PT-symmetric along the x-axis. In fact, the structure along the ΓM direction consists of lin- ear chains of PT dipoles which have been shown to give rise to asymmetric scattering [33]. This behavior will be discussed in more detail in the Sec.…”

Section: Resonances In a Finite 2d Honeycomb Latticementioning

confidence: 92%

“…Recently, PT dipole was proposed as a building block for construction of finite periodic structures mimicking the macroscopic PT-materials and its electromagnetic response has been studied in detail in [33]. Owing to their spatial asymmetry and the presence of both the gain/loss elements, PT combination of dipole promises to exhibit an unusual EM response, not observable in dielectric structures.…”

Section: Introductionmentioning

confidence: 99%

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Resonant scattering of two-dimensional honeycomb PT dipole structure

Markos,

Kuzmiak

2018

Preprint

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We studied numerically electromagnetic response of the finite periodic structure consisting of the PT dipoles represented by two infinitely long, parallel cylinders with the opposite sign of the imaginary part of a refractive index which are centered at the positions of two-dimensional honeycomb lattice. We observed that the total scattered energy reveals series of sharp resonances at which the energy increases by two orders of magnitude and an incident wave is scattered only in a few directions given by spatial symmetry of periodic structure. We explain this behavior by analysis of the complex frequency spectra associated with an infinite honeycomb array of the PT dipoles and identify the lowest resonance with the broken PT-symmetry mode formed by a doubly degenerate pair with complex conjugate eigenfrequencies corresponding to the K-point of the reciprocal lattice.

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Section: Resonances In a Finite 2d Honeycomb Latticementioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Resonant scattering of two-dimensional honeycomb PT dipole structure

Markos,

Kuzmiak

2018

Preprint

Self Cite

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“…Possibly, the simplest method to construct PT -symmetric lattices is the arrangement of individual PT -symmetric dipoles (PT dipoles) showing asymmetric scattering [22]. The directivity at each spatial point will be given by the orientation of the PT dipoles at a particular location.…”

Section: Introductionmentioning

confidence: 99%

PT -symmetric Helmholtz resonator dipoles for sound directivity

et al. 2021

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Parity-time (PT )-symmetric or, more generally, non-Hermitian systems have opened a new area for unconventional management of waves, with significant applications, especially in optics. However, fewer proposals are found in acoustics, possibly due to the lack of a simple mechanism for coherent gain. In this paper, we propose a composite non-Hermitian system in acoustics consisting of assemblies of PT -symmetric Helmholtz resonator (HR) dipoles. Like meta-atoms are used as building elements in metamaterials, we propose PTsymmetric dipoles to design non-Hermitian systems intended to engineer complicated directivity fields. We theoretically analyze, numerically confirm, and experimentally show the symmetry breaking in a twodimensional space of non-Hermitian dipoles consisting of a pair of Helmholtz resonators with different levels of gain and loss. In particular, we explore, as an application, a metastructure to concentrate the sound pressure inside the circular array formed by PT -symmetric dipoles. The proposed HR dipoles may be a convenient composite element for smart control of sound.

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“…The minimum system to break the space symmetry in a non-Hermitian manner is a PT -symmetric dipole (PT -dipole) showing asymmetric scattering. 2 Thus, a simple method of constructing PT -symmetric metamaterials is to arrange individual PT -dipoles, whose orientations can depend on their spatial position, to create the desired directivity field. In acoustics, asymmetric absorption has been demonstrated by detuned Helmholtz resonators (HRs) in a one-dimensional waveguide.…”

Section: Introductionmentioning

confidence: 99%