## Modulation instability in nonlinear complex parity-time symmetric periodic structures |

JOSA B, Vol. 31, Issue 8, pp. 1861-1866 (2014)

http://dx.doi.org/10.1364/JOSAB.31.001861

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### Abstract

We carry out a modulation instability (MI) analysis in nonlinear complex parity-time (PT) symmetric periodic structures. All 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 the anomalous dispersion regime, MI does exist even at the PT-symmetry breaking point.

© 2014 Optical Society of America

**OCIS Codes**

(190.3100) Nonlinear optics : Instabilities and chaos

(190.3270) Nonlinear optics : Kerr effect

(190.4390) Nonlinear optics : Nonlinear optics, integrated optics

(190.5530) Nonlinear optics : Pulse propagation and temporal solitons

**ToC Category:**

Fiber Optics and Optical Communications

**History**

Original Manuscript: March 25, 2014

Revised Manuscript: May 11, 2014

Manuscript Accepted: June 19, 2014

Published: July 17, 2014

**Citation**

Amarendra K. Sarma, "Modulation instability in nonlinear complex parity-time symmetric periodic structures," J. Opt. Soc. Am. B **31**, 1861-1866 (2014)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-31-8-1861

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