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We report the spectral features of a phase-shifted parity and time ($\mathcal{PT}$)-symmetric fiber Bragg grating (PPTFBG) and demonstrate its functionality as a demultiplexer in the unbroken $\mathcal{PT}$-symmetric regime. The length of…

Optics · Physics 2020-08-05 S. Vignesh Raja , A. Govindarajan , A. Mahalingam , M. Lakshmanan

In the context of $\mathcal{PT}$-symmetric fiber Bragg gratings, tailoring the nonlinear profile along the propagation coordinate serves to be a new direction for realizing low-power all-optical switches. The scheme is fruitful only when…

Optics · Physics 2022-07-06 S. Sudhakar , S. Vignesh Raja , A. Govindarajan , K. Batri , M. Lakshmanan

In this work, we observe that the $\mathcal{PT}$-symmetric fiber Bragg gratings (PTFBGs) with saturable nonlinearity (SNL) exhibit ramp-like, mixed, optical multistability (OM) in the broken regime. The interplay between nonlinearity and…

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

We explore the consequences of incorporating parity and time reversal ($\mathcal{PT}$) symmetries on the dynamics of nonreciprocal light propagation exhibited by a class of nonuniform periodic structures known as chirped…

Pattern Formation and Solitons · Physics 2019-11-13 S. Vignesh Raja , A. Govindarajan , A. Mahalingam , M. Lakshmanan

The unique spectral behavior exhibited by a class of non-uniform Bragg periodic structures, namely chirped and apodized fiber Bragg gratings (FBGs) influenced by parity and time reversal ($\mathcal{PT}$) symmetry, is presented. The…

Optics · Physics 2020-03-18 S. Vignesh Raja , A. Govindarajan , A. Mahalingam , M. Lakshmanan

We investigate the nontrivial characteristics of modulational instability (MI) in a system of Bragg gratings with saturable nonlinearity. We also introduce an equal amount of gain and loss into the existing system which gives rise to an…

Pattern Formation and Solitons · Physics 2023-05-24 K. Tamilselvan , A. Govindarajan , I. Inbavalli , T. Alagesan , M. Lakshmanan

We investigate the dynamics of modulational instability (MI) in $\cal PT$-symmetric fiber Bragg gratings with a phenomenon of intermodulation known as four-wave mixing (FWM). Although the impact of FWM has already been analyzed in the…

Solitons are studied in a model of a fiber Bragg grating (BG) whose local reflectivity is subjected to periodic modulation. The superlattice opens an infinite number of new bandgaps in the model's spectrum. Averaging and numerical…

Pattern Formation and Solitons · Physics 2009-11-11 K. Yagasaki , I. M. Merhasin , B. A. Malomed , T. Wagenknecht , A. R. Champneys

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

We report results of a systematic study of one-dimensional four-wave moving solitons in a recently proposed model of the Bragg cross-grating in planar optical waveguides with the Kerr nonlinearity; the same model applies to a fiber Bragg…

Pattern Formation and Solitons · Physics 2009-11-10 T. Mayteevarunyoo , Boris A. Malomed , P. L. Chu , A. Roeksabutr

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…

The properties of optical solitons in periodic nonlinear media are reviewed. The emphasis is on solitons in periodically refractive media (Bragg gratings) incorporating a periodic set of thin layers of two-level systems resonantly…

Pattern Formation and Solitons · Physics 2007-05-23 G. Kurizki , A. E. Kozhekin , T. Opatrny , B. Malomed

We analyze the existence, stability, and mobility of gap solitons in a periodic photonic structure with nonlocal nonlinearity. Within the Bragg region of band gaps, gap solitons exhibit better stability and higher mobility due to the…

Optics · Physics 2009-11-13 YuanYao Lin , I-Hong Chen , Ray-Kuang Lee

One of the challenges of the modern photonics is to develop all-optical devices enabling increased speed and energy efficiency for transmitting and processing information on an optical chip. It is believed that the recently suggested…

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

The propagation of a probe field in an N-type four level cold atomic system is investigated under the influence of multiple coherent fields. Coherent control of quantum interference enables switching of the probe field between transparency…

Quantum Physics · Physics 2025-08-27 Parkhi Bhardwaj , Poonam Yadav , Bodhaditya Santra , Shubhrangshu Dasgupta

Scenarios for controllable creation, trapping and holding of single and multiple solitons in a specially designed nonlinear Bragg grating (BG) are proposed. The setting includes a chirped BG segment, which is linked via a local defect to a…

Optics · Physics 2015-06-23 Shenhe Fu , Yongyao Li , Yikun Liu , Jianying Zhou , Boris A. Malomed

The phenomenon of PT (parity- and time-reversal) symmetry breaking is conventionally associated with a change in the complex mode spectrum of a non-Hermitian system that marks a transition from a purely oscillatory to an exponentially…

We introduce a model of three parallel-coupled nonlinear waveguiding cores equipped with Bragg gratings (BGs), which form an equilateral triangle. The objective of the work is to investigate solitons and their stability in this system. New…

Pattern Formation and Solitons · Physics 2009-11-10 Arthur Gubeskys , Boris A. Malomed

We investigate the switching dynamics in a $\mathcal{PT}$-symmetric fiber coupler composed of a saturable nonlinear material as the core. In such a saturable nonlinear medium, bistable solitons may evolve due to the balance between…

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