Presentation Title

Discrete Solitons in Two-Dimensional Optical Lattice Embedded with PT-Symmetric Defects

Start Date

November 2016

End Date

November 2016

Location

HUB 355

Type of Presentation

Oral Talk

Abstract

Solitons are localized waves that result from the balance of dispersive effects and nonlinearities in the propagating medium, and arise frequently in various fields such as nonlinear optics, Bose-Einstein condensation, and oceanography, etc. Following the successful research done regarding the soliton dynamics in a PT-symmetric optical lattice that consists of an array of one-dimensional optical waveguides, we numerically compute soliton solutions to its two-dimensional counterpart that is governed by the discrete nonlinear Schrodinger equations (DNLSE). Three different lattice models were constructed to account for the possible placements of PT-symmetry, which include the dipole, off-site-centered quadrupole, and on-site-centered quadrupole configurations. Our results showed that existence of solitons in these configurations is possible only when the system parameters such as the coupling, Kerr nonlinearity, and gain/loss are carefully chosen. Since there have been no report of analytical soliton solutions to each of the lattice models to date, our numerical findings provide a platform for exploring the stability and dynamics of optical pulses in such lattices.

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Nov 12th, 11:30 AM Nov 12th, 11:45 AM

Discrete Solitons in Two-Dimensional Optical Lattice Embedded with PT-Symmetric Defects

HUB 355

Solitons are localized waves that result from the balance of dispersive effects and nonlinearities in the propagating medium, and arise frequently in various fields such as nonlinear optics, Bose-Einstein condensation, and oceanography, etc. Following the successful research done regarding the soliton dynamics in a PT-symmetric optical lattice that consists of an array of one-dimensional optical waveguides, we numerically compute soliton solutions to its two-dimensional counterpart that is governed by the discrete nonlinear Schrodinger equations (DNLSE). Three different lattice models were constructed to account for the possible placements of PT-symmetry, which include the dipole, off-site-centered quadrupole, and on-site-centered quadrupole configurations. Our results showed that existence of solitons in these configurations is possible only when the system parameters such as the coupling, Kerr nonlinearity, and gain/loss are carefully chosen. Since there have been no report of analytical soliton solutions to each of the lattice models to date, our numerical findings provide a platform for exploring the stability and dynamics of optical pulses in such lattices.