偏心椭圆高斯光束

在椭圆高斯光束横坐标中引入复数偏移量，将其推广为偏心椭圆高斯光束。在垂直于ｚ轴截面内强度分布仍然是椭圆高斯函数分布，在传播方向上光束峰值强度沿直线分布，波前也存在横向位移。对偏心椭圆高斯光束经一阶光学系统的变换关系进行了定量推导。对传播方向偏离ｚ轴的椭圆高斯光束经薄透镜传播时的特例进行了讨论。

A Decentered Elliptical Gaussian Beam

The generalization of an elliptical Gaussian beam is presented by introducing a complex shift in the transverse coordinates. The intensity distribution of the resulting beam is a Gaussian function distribution with the width varying as an ordinary elliptical Gaussian beam in the plane perpendicular to z axis, the peak intensity of which traces a linear trajactory. The wave fronts are displaced laterally. The beam is referred to as a decentered elliptical Gaussian beam, its transformation is deduced quantitatively when passing through an optical system.