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arXiv · 1405.2706

Modulation instability in nonlinear complex parity-time (PT) symmetric periodic structures

Amarendra K. Sarma
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Abstract

We carry out a modulation instability (MI) analysis in nonlinear complex parity-time (PT) symmetric periodic structures. All the three regimes defined by the PT-symmetry breaking point or threshold, namely, below threshold, at threshold and above threshold are discussed. It is found that MI exists even beyond the PT-symmetry threshold indicating the possible existence of solitons or solitary waves, in conformity with some recent reports. We find that MI does not exist at the PT-symmetry breaking point in the case of normal dispersion below a certain nonlinear threshold. However, in the case of anomalous dispersion regime, MI does exist even at the PT-symmetry breaking point.

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Amarendra K. Sarma. 2014-05-12. Modulation instability in nonlinear complex parity-time (PT) symmetric periodic structures. https://doi.org/10.1364/josab.31.001861

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