使用广义惠更斯-菲涅耳衍射积分,增广矩阵和Wigner分布函数方法,研究了厄米-高斯光束通过失调一阶ABCD光学系统的传输特性.证明了在失调光学系统的作用下,厄米-高斯光束不保持封闭性.失调一阶ABCD光学系统的作用使出射光束变为更一般的具有偏心性质的厄米-高斯光束,称其为偏心厄米-高斯光束,通常的偏心高斯光束可看作本文研究的偏心厄米-高斯光束的特殊情况.

Propagation properties of Hermite-Gaussian beams through a misaligned first-order ABCD optical systems are studied using the generalized Huygens-Fresnel diffraction integral, augmented matrix and Wigner distribution function methods. It is shown that, as a Hermite-Gaussian beam passes through the misaligned first-order ABCD optical system, the closed property is not preserved. The action of the misaligned first-order ABCD optical system turns the output beam into a more general class of beam having the decentered property, which can be called the decentered Hermite-Gaussian beam. The usual Hermite-Gaussian beam and decentered Gaussian beam can be regarded as its special cases.