【作者】 梅掌荣； 顾菊观； 赵道木；

【Author】 Mei Zhang-rong, Gu Ju-guang, Zhao Dao-mu (Department of Physics, Huzhou Teachers College, Huzhou 313000, China;Department of Physics, Zhejiang University, Hangzhou 310027, China)

【机构】 湖州师范学院物理系； 浙江大学物理系；

【摘要】 基于分数汉克尔变换的定义,得出优美拉盖尔高斯光束在分数汉克尔变换系统中的解析传输公式;根据所得到的解析传输公式和Kurtosis参数的定义,优美拉盖尔高斯光束在分数汉克尔变换平面上的Kunosis参数的解析表达式被得出;并对所得解析结果进行数值模拟计算。结果显示,优美拉盖尔高斯光束在分数汉克尔变换平面的光强和Kurtosis参数不仅与拉盖尔多项式的阶次有关, 而且还随分数系统的分数度呈周期性变化。更多还原

【Abstract】 An analytical formula is derived for the fractional Hankel transform of elegant Laguerre-Gaussian beams based on the definition of fractional Hankel transform. By using the derived formula and the definition of the kurtosis parameter, the analytical propagation expression for the kurtosis parameter of elegant Laguerre-Gaussian beams is derived. Some detailed numerical examples are given to illustrate the analytical results. The results show that the intensity distribution and the kurtosis parameter of elegant Laguerre-Gaussian beams in the fractional Hankel transform plane not only depend on order p and index m of Laguerre polynomial, but also evolve periodically with fractional order p of fractional system.更多还原