Integrable nonlinear parity-time-symmetric optical oscillator

Hassan, Absar U.; Hodaei, Hossein; Miri, Mohammad‐Ali; Khajavikhan, Mercedeh; Christodoulides, Demetrios N.

doi:10.1103/physreve.93.042219

Cited by 11 publications

(10 citation statements)

References 41 publications

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“…Nonlinear steady-state coupled-cavity model for PT-lasing dynamics. Various models have recently been put forth to study the interplay of nonlinearity and PT-symmetry [55][56][57][58]. In the structure under consideration, the lasing field dynamics, such as power-scaling with gain, can be analyzed using the nonlinear model in Eqs.…”

Section: Linear Coupled-cavity Model For Predicting the Lasing Threshmentioning

confidence: 99%

Statistical parity-time-symmetric lasing in an optical fibre network

et al. 2017

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Parity-time (PT)-symmetry in optics is a condition whereby the real and imaginary parts of the refractive index across a photonic structure are deliberately balanced. This balance can lead to interesting optical phenomena, such as unidirectional invisibility, loss-induced lasing, single-mode lasing from multimode resonators, and non-reciprocal effects in conjunction with nonlinearities. Because PT-symmetry has been thought of as fragile, experimental realisations to date have been usually restricted to on-chip micro-devices. Here, we demonstrate that certain features of PT-symmetry are sufficiently robust to survive the statistical fluctuations associated with a macroscopic optical cavity. We examine the lasing dynamics in optical fibre-based coupled cavities more than a kilometre in length with balanced gain and loss. Although fluctuations can detune the cavity by more than the free spectral range, the behaviour of the lasing threshold and the laser power is that expected from a PT-stable system. Furthermore, we observe a statistical symmetry breaking upon varying the cavity loss.

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Section: Linear Coupled-cavity Model For Predicting the Lasing Threshmentioning

confidence: 99%

Statistical parity-time-symmetric lasing in an optical fibre network

et al. 2017

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“…We discuss how far this system can be used for the construction of unidirectional devices and the usefulness of nonlinear PT symmetric coupling in achieving unidirectional light propagtion in coupled waveguides. In the absence of this nonlinear coupling, the dynamics of the system has been studied in [28,29]. However achieving unidirectional transport of light and controlling blow-up responses in these systems have not been discussed in these works.…”

Section: Modelmentioning

confidence: 99%

“…The dynamics of the system (2) can be studied in terms of certain real variables, namely the Stokes variables [25,29]. These Stokes variables can be defined as 13) where p denotes the total power in the system and s 0 denotes the difference in the intensities of first and second waveguides.…”

Section: Integrability Of the System -Stokes Variable Dynamicsmentioning

confidence: 99%

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Controlling of blow-up responses by nonlinear PT -symmetric coupling

et al. 2017

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We investigate the dynamics of a coupled waveguide system with competing linear and nonlinear loss-gain profiles which can facilitate power saturation. We show the usefulness of the model in achieving unidirectional beam propagation. In this regard, the considered type of coupled waveguide system has two drawbacks, (i) difficulty in achieving perfect isolation of light in a waveguide and (ii) existence of blow-up type behavior for certain input power situations. We here show a nonlinear PT symmetric coupling that helps to overcome these two drawbacks. Such a nonlinear coupling has close connection with the phenomenon of stimulated Raman scattering. In particular, we have elucidated the role of this nonlinear coupling using an integrable PT symmetric situation. In particular, using the integrals of motion, we have reduced this coupled waveguide problem to the problem of dynamics of a particle in a potential. With the latter picture, we have clearly illustrated the role of the considered nonlinear coupling. The above PT symmetric case corresponds to a limiting form of a general equation describing the phenomenon of stimulated Raman scattering. We also point out the ability to transport light unidirectionally even in this general case.

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“…However, under the symmetric presence of activity and dissipation, the system often evolves to states with unbounded electric field amplitudes, which is undesirable for realistic applications. 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].…”

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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Integrable nonlinear parity-time-symmetric optical oscillator

Cited by 11 publications

References 41 publications

Statistical parity-time-symmetric lasing in an optical fibre network

Statistical parity-time-symmetric lasing in an optical fibre network

Controlling of blow-up responses by nonlinear PT -symmetric coupling

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

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