Modulational Instabilities in the Dual-Core Nonlinear Optical Fiber

Tasgal, Richard S.; Malomed, Boris A.

doi:10.1238/physica.regular.060a00418

Cited by 42 publications

(25 citation statements)

References 7 publications

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“…1 The phenomenon of the spontaneous symmetry breaking in analog with the doublewell potential are realized in a nonlinear dual-core directional fiber. [2][3][4] Spontaneous symmetry breaking was demonstrated recently by Brazhnyi and Malomed in a linear discrete chain (Schrödinger lattice) with two nonlinear sites. 5 They have shown as analytically as well as numerically the existence of symmetric, antisymmetric, and nonsymmetric eigenmodes with eigenfrequencies below the propagation band of the chain, and that a variation of the population of modes can give rise to a bifurcation from one to another mode.…”

Section: Introductionmentioning

confidence: 93%

Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities

Bulgakov

Sadreev

2011

Phys. Rev. B

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We consider light transmission in a T-shaped photonic waveguide coupled with two identical symmetrically positioned nonlinear microcavities. We present two types of symmetry breaking. The first one is a result of mixing of the symmetric input wave with antisymmetric bound states in the Fabry-Pérot interferometer architecture. Similarly, the second mechanism of the symmetry breaking is the result of mixing the symmetrical input wave with the antibonding bound state in a straight waveguide coupled with two cavities positioned perpendicular to the waveguide. In both cases the mixing is due to nonlinearity. In turn, the symmetry-breaking solutions give rise to nonsymmetrical outputs in the T-shape waveguide. These effects are directly demonstrated by the electromagnetic field solutions which are complimented by coupled mode theory for the light transmission.

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Section: Introductionmentioning

confidence: 93%

Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities

Bulgakov

Sadreev

2011

Phys. Rev. B

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“…We take the light velocity to be equal to unit. However if there are defects with instantaneous Kerr nonlinearity, the displacement electric vector interior to the defects has a nonlinear contribution D( r, t) = ǫ 0 ( r) E( r, t)+χ (3) [ E( r, t)] 2 E( r, t) [25,26]. A substitution of the electric field in the form [ E( r, t) = 1 2 [ E( r)e iωt + E * ( r)e −iωt ] into Eq.…”

Section: Basic Equationsmentioning

confidence: 99%

Light-Induced Breaking of Symmetry in Photonic Crystal Waveguides with Nonlinear Defects as a Key for All-Optical Switching Circuits

Bulgakov

Sadreev

Pichugin

2012

Progress in Optical Science and Photonics

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We consider light transmission in 2D photonic crystal waveguide coupled with two identical nonlinear defects positioned symmetrically aside the waveguide. We show that with growth of injected light power there is a breaking of symmetry by two ways. In the first way the symmetry is broken because of different light intensities at the defects. In the second way the intensities at the defects are equaled but phases of complex amplitudes are different. That results in a vortical power flow between the defects similar to the DC Josephson effect if the input power over the waveguide is applied and the defects are coupled. As application of these phenomena we consider the symmetry breaking for the light transmission in a T-shaped photonic waveguide with two nonlinear defects. We demonstrate as this phenomenon can be explored for all-optical switching of light transmission from the left output waveguide to the right one by application of input pulses. Finally we consider the symmetry breaking in the waveguide coupled with single defect presented however by two dipole modes.

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“…(24) is smaller by a factor of 2 than that obtained by setting  = 0 in Eq. (21). The reason is that the input power for the zero-birefringence fiber ( = 0), as defined by Eq.…”

Section: Zero-birefringence Tcf:  =mentioning

confidence: 99%

Modulation Instabilities in Birefringent Two-core Optical Fibers

Chiang

Malomed

et al. 2012

Asia Communications and Photonics Conference

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Previous studies of the modulation instability (MI) of continuous waves (CWs) in a two-core fiber (TCF) did not consider effects caused by co-propagation of the two polarized modes in a TCF that possesses birefringence, such as cross-phase modulation (XPM), polarization-mode dispersion (PMD), and polarization-dependent coupling (PDC) between the cores. This paper reports an analysis of these effects on the MI by considering a linear-birefringence TCF and a circular-birefringence TCF, which feature different XPM coefficients. The analysis focuses on the MI of the asymmetric CW states in the TCFs, which have no counterparts in single-core fibers. We find that, the asymmetric CW state exists when its total power exceeds a threshold (minimum) value, which is sensitive to the value of the XPM coefficient. We consider, in particular, a class of asymmetric CW states that admit analytical solutions. In the anomalous dispersion regime, without taking the PMD and PDC into account, the MI gain spectra of the birefringent TCF, if scaled by the threshold power, are almost identical to those of the zero-birefringence TCF. However, in the normal dispersion regime, the power-scaled MI gain spectra of the birefringent TCFs are distinctly different from their zero-birefringence counterparts, and the difference is particularly significant for the circular-birefringence TCF, which takes a larger XPM coefficient. On the other hand, the PMD and PDC only exert weak effects on the MI gain spectra. We also simulate the nonlinear evolution of the MI of the CW inputs in the TCFs and obtain a good agreement with the analytical solutions.

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Modulational Instabilities in the Dual-Core Nonlinear Optical Fiber

Cited by 42 publications

References 7 publications

Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities

Symmetry breaking in a T-shaped photonic waveguide coupled with two identical nonlinear cavities

Light-Induced Breaking of Symmetry in Photonic Crystal Waveguides with Nonlinear Defects as a Key for All-Optical Switching Circuits

Modulation Instabilities in Birefringent Two-core Optical Fibers

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