Dynamics in a saturable nonlinear waveguide coupler

We consider $\mathcal{PT}$-symmetric ring-like arrays of optical waveguides with purely nonlinear  gain and loss. Regardless of the value of the gain-loss coefficient, these systems are protected from spontaneous $\mathcal{PT)$-symmetry breaking.  If the nonhermitian part of the array matrix has cross-compensating structure,  the total power in such a system remains bounded --- or even constant --- at all times.  We identify two-, three-, and four-waveguide arrays with cross-compensatory nonlinear gain and lossthat constitute completely integrable Hamiltonian systems.

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Kerr-nonlinearity induced bistable-like parity-time phase transition in coupled waveguides

Sun

Zhao

Yuan

et al. 2021

Opt. Express

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We analyze the parity-time ( P T ) symmetric phase in coupled two waveguides with a Kerr-type medium in between. Paying attention to the emitted field from a dipole source inside, we show that when the strength of the dipole increases, the optical Kerr effect can render a phase transition from the exact P T phase to the broken P T phase. Furthermore, a salient phenomenon of bistable-like P T phase is observed, in which the emitted field possesses a paradox between the two kinds of P T phases. We show that the physical mechanism of this bistable-like phenomenon is a globally inhomogeneous P T phase, in which different spatial regions of the whole structure can possess different P T phases (broken or exact). This study highlights the potential to manipulate the P T phase transition by using optical nonlinearity for many interesting applications.

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Dynamics in a saturable nonlinear waveguide coupler

Cited by 3 publications

References 25 publications

Dynamics and nonlinear modes of nonlinear saturable PT-symmetric coupler

Dynamics and nonlinear modes of nonlinear saturable PT-symmetric coupler

Integrability and trajectory confinement in -symmetric waveguide arrays

Kerr-nonlinearity induced bistable-like parity-time phase transition in coupled waveguides

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