Two-dimensional vortex dipole solitons in PT-symmetric lattices with nonlocal nonlinearity

Area of Science:

• Nonlinear optics
• Soliton dynamics
• PT-symmetric systems

Background:

• Vortex dipole solitons are crucial in nonlinear systems.
• PT-symmetric lattices offer unique control over light propagation.
• Nonlocal nonlinearity affects soliton behavior.

Purpose of the Study:

• Investigate the dynamics and stability of 2D vortex dipole solitons.
• Analyze the impact of PT-symmetric lattice depth and nonlocality.
• Provide analytical and numerical insights into soliton behavior.

Main Methods:

• Variational approach for analytical solutions.
• Numerical simulations for soliton evolution.
• Analysis of lattice depth and nonlocality parameters.

Main Results:

• PT-symmetric lattice depth induces soliton deformation.
• Intermediate nonlocality stabilizes fundamental vortex dipole solitons.
• Strong nonlocality leads to merging of fundamental and higher-order solitons.

Conclusions:

• Lattice depth and nonlocality are key factors in soliton stability.
• Analytical and numerical methods confirm findings.
• Understanding these dynamics is vital for optical system design.