Two-dimensional complex parity-time-symmetric photonic structures

Turduev, Mırbek; Botey, Muriel; Giden, İbrahim Halil; Herrero, R.; Kurt, Hamza; Özbay, Ekmel; Staliūnas, Kęstutis

doi:10.1103/physreva.91.023825

Cited by 51 publications

(26 citation statements)

References 12 publications

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“…One of most promising applications of the idea is to use the PT-localization property to regularize the fields in broad aperture lasers, in particular in VCSELS. Broad aperture lasers, especially the semiconductor lasers, are known to result in spatial pattern formation 15,16 , which usually is undesirable effect from the technological viewpoint. Different techniques to regularize the spatial structure of the emitted field are proposed, in particular the spatial modulation of the amplifying media 17 .…”

Section: Discussionmentioning

confidence: 99%

Axisymmetric photonic structures with PT-symmetry

et al. 2016

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PT-symmetric structures in photonic crystals, combining refractive index and gain-loss modulations is becoming a research field with increasing interest due to the light directionality induced by these particular potentials. Here, we consider PT-symmetric potentials with axial symmetry to direct light to the crystal central point obtaining a localization effect. The axial and PT-symmetric potential intrinsically generates an exceptional central point in the photonic crystal by the merge of both symmetries. This particular point in the crystal lattice causes field amplitude gradients with exponential slopes around the crystal center. The field localization strongly depends on the phase of the central point and on the complex amplitude of the PT-potential.The presented work analyzes in a first stage 1D linear PT-axisymmetric crystals and the role of the central point phase that determines the defect character, i.e. refractive index defect, gain-loss defect or a combination of both. The interplay of the directional light effect induced by the PT-symmetry and the light localization around the central point through the axial symmetry enhances localization and allows higher field concentration for certain phases. The linearity of the studied crystals introduces an exponential growth of the field that mainly depends on the complex amplitude of the potential. The work is completed by the analysis of 2D PT-axisymmetric potentials showing different spatial slopes and growth rates caused by symmetry reasons.

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Section: Discussionmentioning

confidence: 99%

Axisymmetric photonic structures with PT-symmetry

et al. 2016

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“…In addition, a few recent studies of multidimensional PT-symmetric systems have demonstrated intriguing properties not found in 1D PT-symmetric systems, such as conical diffraction, third-order EPs, continuous rings of EPs, and rotating input by asymmetric coupling between wave vectors [14,[93][94][95][96][97][98]. Most recently, Fan et al considered 2D PT-symmetric PhCs, whose non-Hermitian primitive cell is an integer multiple of the primitive cell of the underlying Hermitian system [15].…”

Section: Unidirectional Reflectionless Propagation In Pt-symmetric Symentioning

confidence: 99%

Unidirectional reflectionless light propagation at exceptional points

et al. 2017

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Abstract:In this paper, we provide a comprehensive review of unidirectional reflectionless light propagation in photonic devices at exceptional points (EPs). EPs, which are branch point singularities of the spectrum, associated with the coalescence of both eigenvalues and corresponding eigenstates, lead to interesting phenomena, such as level repulsion and crossing, bifurcation, chaos, and phase transitions in open quantum systems described by non-Hermitian Hamiltonians. Recently, it was shown that judiciously designed photonic synthetic matters could mimic the complex non-Hermitian Hamiltonians in quantum mechanics and realize unidirectional reflection at optical EPs. Unidirectional reflectionlessness is of great interest for optical invisibility. Achieving unidirectional reflectionless light propagation could also be potentially important for developing optical devices, such as optical network analyzers. Here, we discuss unidirectional reflectionlessness at EPs in both parity-time (PT)-symmetric and non-PT-symmetric optical systems. We also provide an outlook on possible future directions in this field.

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“…Based on the PT concept several types of extended systems included PT gratings, PT lattices, and PT -symmetric resonant structures characterized by the complex-valued periodic functions have been studied both theoretically and experimentally [16][17][18][19]. The periodic systems also provide asymmetric response, offering for example a unidirectional invisibility [7], unidirectional coupling [20], and other peculiar effects. Due to periodicity such systems are resonant, i.e., provide the asymmetric responses in the vicinity resonant wavelength λ ∼ 2a, where a is the period of the structure.…”

Section: Introductionmentioning

confidence: 99%

Scattering properties of a PT dipole

2017

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Electromagnetic response of a PT dipole is studied both analytically and numerically. In the analytical approach, the dipole is represented by two point scatterers. Within the first Born approximation, the asymmetry of the scattering field with respect to the orientation of the dipole is proven. In numerical simulations, the dipole is represented by two infinitely long, parallel cylinders with opposite sign of the imaginary part of a refractive index. Numerical data confirm the validity of the Born approximation in the weak scattering limit, while significant deviations from the Born approximation were observed for stronger scatterers and in the near-field range.

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Two-dimensional complex parity-time-symmetric photonic structures

Cited by 51 publications

References 12 publications

Axisymmetric photonic structures with PT-symmetry

Axisymmetric photonic structures with PT-symmetry

Unidirectional reflectionless light propagation at exceptional points

Scattering properties of a PT dipole

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