光谱重置法在非局域空间光孤子研究中的应用

利用光谱重置法在数值上求解非局域非线性薛定谔方程,快速准确地计算出非局域非线性介质中空间光孤子的波形,并得到在不同非局域程度下形成孤子的临界功率和临界束宽的关系.研究结果表明,在任意非局域程度条件下都可以形成稳定的空间光孤子.在响应函数不同时分别与解析解进行对比,发现数值解和解析解只有在强非局域和弱非局域这两种极限条件下是一致的,并给出了对应解析解的有效范围.

Applications of spectral renormalization method to the research of nonlocal optical spatial soliton

We use spectral renormalization method to solve the nonlocal nonlinear Schrodinger equation, which gives accurate waveform of nonlocal opticM spatial soliton.The relation between critical power and critical beamwidth is acquired in different nonlocal conditions.We discovered that optical spatial soliton exists stably in any nonlocal degree.Comparing analytic solution with numerical solution for different response functions, we find that they are consistent only under strong nonlocal and weak nonlocal conditions.The effective range of analytic solution is also given.