混合模系数与类高斯分布

Mixed Mode Coefficient and Gaussian-Like Distribution

从Ｈｅｒｍｉｔｅ－Ｇａｕｓｓｉａｎ模的求和出发定义了混合模系数，并推导了混合模系数Ｍ的精确表达式。进而定义了描述及处理混合模的类高斯分布（ＧＬＤ）及类高斯光束（ＧＬＢ）。讨论了类高斯光束在均匀介质中的传播。最后给出了一种实际测量系数Ｍ的方法。

Starting from a sum of Hermite-Gaussian multimodes, the mixing mode coefficient is defined and the accurate expression of mixed mode coefficient M is derived. A Gaussian--like distribution (GLD) or Gaussian--like born (GLB) is defined to describe and treat the mixed mode. The propagation and transfotmation of GLB in a homogeneous medium is discussed. Finally, a method for practiCal measurement of the coefficient, M, is given.