Modulation instability in a zigzag array of nonlinear waveguides with alternating positive and negative refractive indices

Journal Article · Wed Dec 31 04:00:00 EST 2014 · Quantum Electronics (Woodbury, N.Y.)

DOI:https://doi.org/10.1070/QE2014V044N12ABEH015507· OSTI ID:22373321

Dovgiy, A A ^[1]

---

1. National Research Nuclear University ''MEPhI'' (Russian Federation)

The modulation instability is analytically investigated in a zigzag array of tunnel-coupled optical waveguides with alternating refractive indices and Kerr nonlinearity. Particular solutions to a system of coupled nonlinear equations are found. They describe the propagation of electromagnetic waves that are uniform along the waveguide and their instability is studied. It is shown that the coupling coefficient between the waveguides, which are non-nearest neighbours, has a significant effect on the instability of the waves in question. When the coupling coefficient exceeds a certain threshold, the modulation instability disappears regardless of the radiation power. The influence of the ratio of the wave amplitudes in adjacent waveguides to the instability of the particular solutions is studied. Different variants of the nonlinear response in waveguides are considered. The studies performed present a new unusual type of the modulation instability in nonlinear periodic systems. (metamaterials)

• OSTI ID: 22373321
• Journal Information: Quantum Electronics (Woodbury, N.Y.), Journal Name: Quantum Electronics (Woodbury, N.Y.) Journal Issue: 12 Vol. 44; ISSN 1063-7818
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING
ELECTROMAGNETIC RADIATION
MATHEMATICAL SOLUTIONS
METAMATERIALS
NONLINEAR PROBLEMS
REFRACTIVE INDEX
WAVEGUIDES