研究了任意阶的光子先增后减(CA)和光子先减后增(AC)相干态的非经典特性，并给出了相应的解析表达式。AC操作和CA操作由于湮灭算符和产生算符的不对易性，导致产生的两种态具有不同的非经典特性。文中首先给出了两种态的归一化因子的解析表达式，随后在此基础上研究了Mandel Q参数、光子数分布和Wigner函数等表征非经典特性的统计量，研究表明两种态都具有非常明显的非经典特性，并且AC操作比CA操作能产生更强的非经典性。

We study the nonclassical properties of arbitrary number photon creation-then-annihilation operation (CA) and annihilation-then-creation operation (AC) to the coherent states, and give the analytical expression. Because of the noncoummutativity of between annihilation operator and the creation operator, the states generated by AC operation and CA operation have different nonclassical properties. We firstly derive the analytical expressions of normalization factor for these states, and then study the statistics characteristics by some nonclassical properties, such as the Mandel Q parameters, the photon number distribution and the Wigner function. It is shown that these states have a very distinct nonclassical properties, and the nonclassical state generated by AC operation can present more clear nonclassicality than those generated by the CA operation.