Optical Modes And Their Stabilities In PT-symmetry Waveguide With ScarffⅡ Potential

Spatial solitons have a vital role in modern optical communication due to its peculiar character. Most of all, because of great potential applications in all-optical information technology, spatial solitons are study extensively. In quantum mechanics, the concept of parity-time symmetry has been formed progressively in several decades. Optics provides a wide and important platform in which PT-symmetry has been confirmed and can go forward. Base on a study of background of solitons and PT-symmetry, we introduce the PT-symmetrical spatial soliton optical mode and stability. The main contents are as follows:1. We first get the nonlinear Schrodinger equation by the Maxwell equations, using it to describe the propagation of spatial solitons in nonlinear media which matches the condition of parity-time symmetry. At the same time, we presents three numerical methods:Newton iterative algorithm, Square-operator method and Fourier transform method.2. We mainly address the existence, characters and stability of spatial solitons with PT-symmetry. The optical mode is represented by numerical simulation and we discuss the effect by various parameters, meanwhile the stability is study by linear stability analysis. The result shows that the optical mode is existent and propagating stably. And the stability of the mode can be estimated intuitively by the dependence of the total power and the imaginary amplitude.3. We address the characters of excited mode and stability. The optical mode is shown numerically by Newton iterative algorithm and Square-operator method, respectively. Comparing the two methods, we find SOM is faster, more accurate. We also study the effect by parameters and the stability.