Asymmetrical splitting in the spectrum of stochastic radiation scattered by non-Hermitian materials having 
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 symmetry

Pinto, M. A.; Brandão, P. A.

doi:10.1103/physreva.101.053817

Cited by 9 publications

(4 citation statements)

References 38 publications

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“…Various aspects of stochastic light scattering from deterministic PT -symmetric media were recently discussed in Refs. [16], [17] and [18]. The results of these studies can be deduced from the general theory developed here in the completely correlated medium limit.…”

Section: Introductionmentioning

confidence: 61%

Scattering theory for stationary materials with $\mathcal{PT}$ symmetry

Brandão,

Korotkova

2020

Preprint

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A theoretical framework is developed for scattering of scalar radiation from stationary, threedimensional media with correlation functions of scattering potentials obeying PT -symmetry. It is illustrated that unlike in scattering from deterministic PT symmetric media, its stationary generalization involves two mechanisms leading to symmetry breaking in the statistics of scattered radiation, one stemming from the complex-valued medium realizations and the other -from the complex-valued degree of medium's correlation.

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Section: Introductionmentioning

confidence: 61%

Scattering theory for stationary materials with $\mathcal{PT}$ symmetry

Brandão,

Korotkova

2020

Preprint

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“…A few papers have been published exploring the role of second-order classical coherence in non-Hermitian systems [20][21][22][23][24][25][26][27][28][29]. So far, only scattering and paraxial beam propagation have been considered and the role of spatial coherence in non-Hermitian system was explored.…”

Section: Introductionmentioning

confidence: 99%

Degree of polarization in dissipative optical systems

Cirino,

Brandão

2024

J. Opt.

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The polarization matrix formalism is employed to analyze the polarization properties of transmitted narrowband light through several optical setups involving active and dissipative structures. It is demonstrated that the degree of polarization of the output light can increase after propagation in a active/dissipative periodic media. Furthermore, the impact of introducing optical elements like polarizers, compensators, and rotators is examined, and their collective effect on the degree of polarization is discussed.

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“…A very nice and important book chapter exposing the applications of optical coherence theory has been published recently [34]. Scattering of stochastic radiation by deterministic Hermitian materials [35] and non-Hermitian materials having balanced gain and loss, satisfying the condition of PT symmetry, have also been considered [36][37][38]. It was demonstrated that the loss and gain properties of the material, along with the correlations present in the incident field, strongly affect the statistical properties of the scattered radiation.…”

Section: Introductionmentioning

confidence: 99%

“…It was demonstrated that the loss and gain properties of the material, along with the correlations present in the incident field, strongly affect the statistical properties of the scattered radiation. It was shown that the spatial coherence properties of the incident field can inhibit the asymmetrical character of the scattered radiation [37] and that the frequency spectrum of the scattered radiation can be dynamically modified depending on the loss and gain properties of the material without changing its geometry [36,38]. However, the authors of [37] considered only two point (Dirac) scatterers and did not explore the spectral changes in frequency of the scattered radiation.…”

Section: Introductionmentioning

confidence: 99%

Wolf effect in the scattering of polychromatic radiation by two spheres having parity-time symmetry

Vieira

Brandão

2020

J. Opt.

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It was recently proposed (P A Brandão and S B Cavalcanti 2019 Phys. Rev. A 100 043822) that two small (Dirac) scatterers, one having gain and the other having loss, drastically modifies the spectral density of the scattered radiation field. Here, we extend this previous work by studying the scattering of stochastic radiation by two finite spheres having gain and loss, satisfying the parity-time symmetry condition, and verifying the spectral changes in frequency domain, i.e. the non-Hermitian Wolf effect. Under the Born approximation, we analytically found the specific frequencies where the spectral density of the scattered field vanishes and show that they depend on the gain and loss parameter γ of each material. This is evidence of a non-Hermitian Wolf effect, meaning that the spectrum can be tuned by the gain/loss properties of the system. We have also shown that there is a π/2 phase shift when γ ≫ 1 compared to the Hermitian configuration (γ = 0).

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Asymmetrical splitting in the spectrum of stochastic radiation scattered by non-Hermitian materials having PT symmetry

Cited by 9 publications

References 38 publications

Scattering theory for stationary materials with $\mathcal{PT}$ symmetry

Scattering theory for stationary materials with $\mathcal{PT}$ symmetry

Degree of polarization in dissipative optical systems

Wolf effect in the scattering of polychromatic radiation by two spheres having parity-time symmetry

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