Phase dynamics of inhomogeneous Manakov vector solitons

Area of Science:

• Nonlinear optics
• Soliton physics
• Photonics

Background:

• Vector solitons are crucial in nonlinear optics, with Manakov systems describing their behavior.
• Understanding soliton phase dynamics is essential for optical communication and information processing.
• Inhomogeneous optical systems introduce complexities not present in uniform media.

Purpose of the Study:

• To investigate the exact phase dynamics of Manakov bright and dark vector solitons.
• To analyze the influence of system inhomogeneity and nonlinear tunneling on soliton phases.
• To explore the distinct phase behaviors of bright and dark vector solitons.

Main Methods:

• Utilizing a variable coefficient coupled nonlinear Schrödinger equation.
• Employing the Hirota bilinear method to derive two-soliton solutions.
• Conducting asymptotic analysis to study soliton interactions and phase shifts.

Main Results:

• Manakov dark vector solitons exhibit gradual phase shifts influenced by a blackness factor.
• Nonlinear tunneling affects both intensity and phase, preserving soliton shape post-tunneling.
• Gain or loss terms significantly impact dark soliton phases, unlike their bright counterparts.

Conclusions:

• The study provides an exact description of vector soliton phase dynamics in inhomogeneous media.
• Phase dynamics, beyond intensity, are critical for understanding soliton behavior and applications.
• This research serves as a reference for future studies on multisoliton phase dynamics in photonics.