Stability through asymmetry: Modulationally stable nonlinear supermodes of asymmetric non-Hermitian optical couplers

Kominis, Yannis; Bountis, Tassos; Flach, Sergej

doi:10.1103/physreva.95.063832

Cited by 34 publications

(26 citation statements)

References 31 publications

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“…In this connection, it is worthwhile to note that some more general non-Hermitian methods have been proposed to achieve unidirectional reflectionless behavior based on spatial Kramers-Kronig (K-K) relations, [74] and Bragg scattering via judicious index and gain tailoring. [75] In addition to the above demonstrations, asymmetric light transport phenomena have also been reported by several groups, [48,68, 76 -78 ] with different optical configurations such as optical couplers, [76,77,79 ] two-mode waveguides, [48] and coupled resonators. [68]…”

Section: Asymmetric Light Transportmentioning

confidence: 75%

Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media

et al. 2019

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The explorations of the quantum-inspired symmetries in optical and photonic systems have witnessed immense research interests both fundamentally and technologically in a wide range of subjects of physics and engineering. One of the principal emerging fields in this context is non-Hermitian physics based on parity-time symmetry, originally proposed in the studies pertaining to quantum mechanics and quantum field theory, recently ramified into diverse set of areas, particularly in optics and photonics. The intriguing physical effects enabled by non-Hermitian physics and PT symmetry have enhanced significant applications prospects and engineering of novel materials. In addition, it has observed increasing research interests in many emerging directions beyond optics and photonics. This Review paper attempts to bring together the state of the art developments in the field of complex non-Hermitian physics based on PT symmetry in various physical settings along with elucidating key concepts and background and a detailed perspective on new emerging directions. It can be anticipated that this trendy field of interest can be indispensable in providing new perspectives in maneuvering the flow of light in the diverse physical platforms in optics, photonics, condensed matter, opto-electronics and beyond, and offer distinctive applications prospects in novel functional materials.

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Section: Asymmetric Light Transportmentioning

confidence: 75%

Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media

et al. 2019

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“…Among different types of fiber lasers, dual-core ring lasers have been receiving a widespread interest owing to their numerous applications in photonics [13][14][15][16][17][18][19]. Nonlinear directional couplers (NLDC) are one of important components of integrated optical devices and they deliver quite a few lightwave applications including switching (bright and dark) [20][21][22][23][24][25][26][27], logical operations [28,29], ultra-short pulse generation through modulational instability [30][31][32][33][34][35], and amplifiers [36,37]. In particular, Winful and Walton have proven that the asymmetric dual core fibers can act as a passive mode-locking fiber laser provided one of the dual-cores must be doped with rare earth-elements like erbium while the other core must be a passive one [3].…”

Section: Introductionmentioning

confidence: 99%

Non-Lagrangian approach for coupled complex Ginzburg-Landau systems with higher order-dispersion

Djob

Kenfact-Jiotsa

Govindarajan

2020

Chaos, Solitons & Fractals

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It is known that after a particular distance of evolution in fiber lasers, two (input) asymmetric soliton like pulses emerge as two (output) symmetric pulses having same and constant energy. We report such a compensation technique in dispersion managed fiber lasers by means of a semi-analytical method known as collective variable approach (CVA) with including third-order dispersion (TOD). The minimum length of fiber laser, at which the output symmetric pulses are obtained from the input asymmetric ones, is calculated for each and every pulse parameters numerically by employing Runge-Kutta fourth order method. The impacts of intercore linear coupling, asymmetric nature of initial parameters and TOD on the evolution of pulse parameters and on the minimum length are also investigated. It is found that strong intercore linear coupling and asymmetric nature of input pulse parameters result in the reduction of fiber laser length. Also, the role of TOD tends to increase the width of the pulses as well as their energies. Besides, chaotic patterns and bifurcation points on the minimum length of the fiber owing to the impact of TOD are also reported in a nutshell.

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“…As an example, two waveguides [25] with identical wave propagation numbers and exactly opposite gain and loss coefficients support either an asymmetric unbounded state [27,28] or a symmetric bounded nonlinear supermode, therefore not allowing for capabilities of directed power transfer between the two waveguides in a stable fashion. A remedy to such an unwanted behavior is the introduction of gain/loss asymmetry which, as has been recently shown, not only enhances the stability of the system [29], but also admits controlled directed power transport enabled by the emergence of additional strongly asymmetric modes [30]. It is worth mentioning that the asymmetry as a stabilizer has been considered for other non-Hermitian photonic systems consisting of coupled lasers [31,32] but also for more general configurations of paired oscillators [33].…”

Section: Introductionmentioning

confidence: 99%

Enhanced stability, bistability, and exceptional points in saturable active photonic couplers

et al. 2019

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A generic photonic coupler with active and lossy parts, gain saturation and asymmetric characteristics is examined. Saturable activity is shown to be able to enhance the overall stability of the steady states, prevent evolution to undesirable unbounded modes and allow for bistable operation in specific regions of parametric space. Both stability and bistability are studied in the phase space of the system, where the basins of attraction of each state are identified, providing an accurate description of the dependence of the electric fields on the initial conditions. Continuous families of exceptional points are detected via suitable regulation of the coupling and asymmetry features of the configuration. In this way, a complete description of the nonlinear dynamics landscape is provided, which should be crucial for multiple application-driven designs incorporating such a ubiquitous optical component. *

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Stability through asymmetry: Modulationally stable nonlinear supermodes of asymmetric non-Hermitian optical couplers

Cited by 34 publications

References 31 publications

Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media

Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media

Non-Lagrangian approach for coupled complex Ginzburg-Landau systems with higher order-dispersion

Enhanced stability, bistability, and exceptional points in saturable active photonic couplers

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