双曲余弦高斯光束在强非局域介质中的传输

Propagation of Hyperbolic-Cosine Gaussian Beams in Strongly Nonlocal Media

从描述强非局域介质中光束传输的非线性薛定谔方程出发,研究了(2+1)维双曲余弦高斯光束在强非局域介质中的传输性质及其相互作用,给出了双曲余弦高斯光束在强非局域非线性介质中传输的解析表达式和二阶矩束宽的解析表达式,同时对两束双曲余弦高斯光束之间的相互作用进行了解析和数值分析。结果表明单光束入射强非局域介质时,存在一个临界功率,当入射功率等于临界功率时,光束在传输过程中的二阶矩束宽可以保持不变;当入射功率不等于临界功率时,光束的二阶矩束宽呈周期性变化。两束双曲余弦高斯光束共同传输时会相互吸引,并且横向强度分布变的较为复杂,给出了两束光传输时相互作用后的强度分布和轴上光强演化等结果。

With the nonlinear Schrodinger equation descripting of beam propagation in strongly nonlocal media, the interaction and propagation properties of （2 ＋1）-dimensional hyperbolic-cosine Gaussian beams in strongly nonlocal nonlinear media are studied. The analytical expressions of propagation of hyperbolic-cosine Gaussian beams in strongly nonlocal nonlinear media and second moment beam width are obtained, while the interactions between two hyperbolic-cosine Gausstcan beams are resolved and analysized numerically. The results show that when the incidence is a single beam, there exists a critical power. When the input power is equal to the critical power, the second moment beam width remains invariant on propagation, otherwise the second moment beam width varies with a period during propagation. When two hyperbolic-cosine Gaussian beams propagate together, they always attract each other, and the transverse intensity distribution becomes complicated. The on-axis intensity evolution and the intensity distributions of the interaction between two beams during propagation are discussed in detail.