The Effect of Self-defocusing Nonlinearity on the Eigenmodes of PT-Symmetric Single System with k-Wavenumber Scarf II Barrier Potential

The studies on the linear and nonlinear systems with confining refractive index distribution and gain/loss effects are of great interest as it leads to the formation of localised stable modes in the PT-symmetric phase. The fundamental and higher eigenstates are analysed in the self-defocusing nonlinear single system with PT-symmetric k-wavenumber Scarf II barrier potential. The PT phase transition and the effect of the real component of the barrier potential on the field intensity of the stationary modes have been analysed in the linear regime. The effect of the self-defocusing nonlinearity, on the formation of eigenmodes with central dips in the PT-symmetric phase is studied. Also, the variation in the nonlinear modes with the width of the barrier potential is analysed. The linear stability analysis has been carried out to analyse the stability condition of the stationary modes under small perturbation. The existence and dynamics of bright and dark soliton-like PT-symmetric modes due to the interplay between the defocusing nonlinearity and Scarf II barrier potential find applications in the lossless communication processes.