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In this letter, we propose a magnet-less non-reciprocal isolating system based on time-varying metasurfaces. Two parallel time-varying metasurfaces, one for frequency up-conversion and one for down-conversion by the same amount, are used…

By rearrangements of waveguide arrays with gain and losses one can simulate transformations among parity-time (PT-) symmetric systems not affecting their pure real linear spectra. Subject to such transformations, however, the nonlinear…

Pattern Formation and Solitons · Physics 2012-05-29 D. A. Zezyulin , V. V. Konotop

It is shown that slow Bragg soliton solutions are possible in nonlinear complex parity-time (PT) symmetric periodic structures. Analysis indicates that the PT-symmetric component of the periodic optical refractive index can modify the…

This paper presents some numerical simulations of the full one-dimensional Maxwell-Lorentz equations that describe light propagation in fiber Bragg gratings in order to confirm that the standard nonlinear coupled mode equations fail to…

Pattern Formation and Solitons · Physics 2007-05-23 C. Martel , C. M. Casas

We explore the optical properties of a Fabry-Perot resonator with an embedded Parity-Time (PT) symmetrical grating. This PT-symmetrical grating is non diffractive (transparent) when illuminated from one side and diffracting (Bragg…

Optics · Physics 2015-06-19 Mykola Kulishov , Bernand Kress , H. F. Jones

We show that non-linear optical structures involving a balanced gain-loss profile, can act as unidirectional optical valves. This is made possible by exploiting the interplay between the fundamental symmetries of parity (P) and time (T),…

The effect of competing nonlinearity on beam dynamics in parity-time $(\mathcal{PT})$ symmetric potentials is investigated. By using numerical methods, the existence of gap solitons is demonstrated in the first Bragg gap of optical…

Pattern Formation and Solitons · Physics 2012-10-09 Shuang Liu , Caiwen Ma , Yiqi Zhang , Keqing Lu

In this work, we have studied the traveling wave solution in a nonlinear Bragg grating structure in which the core of the optical fiber is having Parity-time (PT) symmetric refractive index distribution. We have found bright solitary wave…

Optics · Physics 2017-10-25 Samit Kumar Gupta , Amarendra K. Sarma

We report that conventional saturable periodic structures, in sharp contrast to the conventional systems with different nonlinearities which exhibit the typical S- shaped optical bi- and multi-stable states, reveal some unusual and unique…

Optics · Physics 2024-08-21 S. Vignesh Raja , A. Govindarajan , M. Lakshmanan

We study Bragg-induced power oscillations in Fourier space between a pair of optical resonant transverse modes propagating through a periodic PT symmetric lattice, represented by a refractive index that includes gain and loss in a balanced…

Optics · Physics 2017-11-29 Paulo A. Brandão , Solange B. Cavalcanti

We demonstrate how to control independently both spatial and temporal dynamics of slow light. We reveal that specially designed nonlinear waveguide arrays with phase-shifted Bragg gratings demonstrate the frequency-independent spatial…

Optics · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

Parity-time (PT) symmetry and broken in micro/nano photonic structures have been investigated extensively as they bring new opportunities to control the flow of light based on non-Hermitian optics. Previous studies have focused on the…

Optics · Physics 2022-07-20 Qi Zhang , Yun Ma , Qi Liu , Xinchen Zhang , Yali Jia , Limin Tong , Qihuang Gong , Ying Gu

The nonreciprocal wave propagation in PT-symmetric periodic stack of binary dielectric layers characterised by balances loss and gain is analysed. The main mechanisms and resonant properties of the scattered plane waves are illustrated by…

Optics · Physics 2015-05-12 Oksana Shramkova , Giorgos Tsironis

In this work, we predict that periodic structures without gain and loss do not exhibit an S-shaped hysteresis curve in the presence of saturable nonlinearity (SNL). Instead, the input-output characteristics of the system admit ramp-like…

Optics · Physics 2024-04-23 S. Vignesh Raja , A. Govindarajan , M. Lakshmanan

We study the diffraction produced by a slab of purely reflective PT-symmetric volume Bragg grating that combines modulations of refractive index and gain/loss of the same periodicity with a quarter-period shift between them. Such a complex…

Optics · Physics 2023-07-19 Mykola Kulishov , H. F. Jones , Bernard Kress

We address propagation of light in nonlinear twisted multi-core fibers with alternating amplifying and absorbing cores that are arranged into the PT - symmetric structure. In this structure, the coupling strength between neighboring cores…

We examine the role discrete symmetries, time-reversal and mirror symmetries, play in the context of geophysical waves and instabilities. By looking at three special cases from the two-layer quasi-geostrophic model as well as developing a…

Atmospheric and Oceanic Physics · Physics 2022-06-01 Tomos W. David , Pierre Delplace , Antoine Venaille

We study the diffraction produced by a $PT$-symmetric volume Bragg grating that combines modulation of refractive index and gain/loss of the same periodicity with a quarter-period shift between them. Such a complex grating has a directional…

Optics · Physics 2014-12-02 Mykola Kulishov , H. F. Jones , Bernard Kress

Nonlinear parity-time (PT) symmetry in non-Hermitian wireless power transfer (WPT) systems, while attracting significant attention from both physics and engineering communities, have posed formidable theoretical and practical challenges due…

Applied Physics · Physics 2025-08-01 Xianglin Hao , Xiaosheng Wang , ke Yin , Sheng Ren , Chaoqiang Jiang , Jianlong Zou , Tianyu Dong , Chi Kong Tse

Open, non-equilibrium systems with balanced gain and loss, known as parity-time ($\mathcal{PT}$)-symmetric systems, exhibit properties that are absent in closed, isolated systems. A key property is the $\mathcal{PT}$-symmetry breaking…

Quantum Physics · Physics 2018-01-10 Andrew K. Harter , Franck A. Onanga , Yogesh N. Joglekar