Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation

Rebouças, J. A.; Brandão, P. A.

doi:10.1103/physreva.104.063514

Cited by 7 publications

(8 citation statements)

References 33 publications

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“…The PT symmetry in optics has found numerous applications, such as in unidirectional invisibility, anisotropic transmission resonances, single-particle detection, microlaser, robust wireless power transfer, and topological insulators [58,59]. The partially coherent Gaussian Schell-model beam scattered by the PT deterministic media, such as the two-point scatterers [54,[60][61][62], localized continuous materials [63], and periodic materials with loss and gain [64] have been studied. It has been shown that the non-Hermitian property of the scattering potential induces anomalous spectral and spatial changes in the partially coherent scattered fields.…”

Section: Introductionmentioning

confidence: 99%

Scattering of Partially Coherent Vector Beams by a Deterministic Medium Having Parity-Time Symmetry

et al. 2022

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We study the scattering properties of the partially coherent vector beams with the deterministic media having the classic symmetric and parity-time (PT) symmetric scattering potential functions. The closed-form expressions for the intensity and polarization matrix of the far-zone scattered field are obtained, under first-order Born approximation, when the partially coherent vector beams are taken to be radially polarized and the deterministic media are assumed as the four-point scatterers. We demonstrate both analytically and numerically that the far-zone scattered field becomes noncentrosymmetric and the directionality appears in the scattering pattern when the scattering potential function is switched from classic symmetry to PT symmetry. We show the effect of spatial coherence of the incident partially coherent vector beam on the directionality in scattering. We find that by turning the symmetry property of the spatial coherence function of the incident beam, i.e., into PT symmetry, the directionality in the far-zone scattering can be suppressed or enhanced, depending on the joint effect from the symmetry of the scattering potential and the symmetry of the spatial coherence. Our findings may be useful in the application of dynamic control of the directionality in light scattering.

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Section: Introductionmentioning

confidence: 99%

Scattering of Partially Coherent Vector Beams by a Deterministic Medium Having Parity-Time Symmetry

et al. 2022

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“…The authors of [1] consider the scattering problem for a PT -symmetric double-delta-function potential in threedimensions, v(r) := z 1 δ(r − r 0 ) + z 2 δ(r + r 0 ), (1) where z 1 = z * 2 = −αk 2 (σ + iγ) and α, σ, and γ are real parameters, k is the wavenumber, and ±r 0 are the positions of the point scatterers. They substitute the Born series u…”

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confidence: 99%

“…The results of [1] rely on the authors' solution of this relation. But as we explain below, there is a basic error in their analysis.…”

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confidence: 99%

“…This is inadmissible, because |r 0 | does not tend to infinity. In general, the iterative solution of (4) given in the appendix of [1] is unacceptable, because this equation holds for r → ∞. Therefore, one cannot use it to determine u n (±r 0 ) even approximately.…”

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confidence: 99%

“…To see this, first we use the notation of Ref. [1] to express the Lippmann-Schwinger equation for the potential (5) in the form…”

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Comment on "Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation"

Loran¹,

Mostafazadeh²,

Seymen³

et al. 2022

Preprint

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In [J. A. Rebouças and P. A. Brandão, Phys. Rev. A 104, 063514 (2021)] the authors compute the scattering amplitude for a PT -symmetric double-delta-function potential in three dimensions by invoking the far-zone approximation and summing the resulting Born series. We show that the analysis of this paper suffers from a basic error. Therefore its results are inconclusive. We give an exact closed-form expression for the scattering amplitude of this potential.

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Comment on “Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation”

Loran

Mostafazadeh²,

Seymen³

et al. 2022

Phys. Rev. A

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Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation

Cited by 7 publications

References 33 publications

Scattering of Partially Coherent Vector Beams by a Deterministic Medium Having Parity-Time Symmetry

Scattering of Partially Coherent Vector Beams by a Deterministic Medium Having Parity-Time Symmetry

Comment on "Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation"

Comment on “Scattering of light by a parity-time-symmetric dipole beyond the first Born approximation”

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