Porras M A, Alda J, Bernabeu E
Appl Opt. 1992 Oct 20;31(30):6389-402. doi: 10.1364/AO.31.006389.
We define the width, divergence, and curvature radius for non-Gaussian and nonspherical light beams. A complex beam parameter is also defined as a function of the three previous ones. We then prove that the ABCD law remains valid for transforming the new complex beam parameter when a non-Gaussian and nonspherical, orthogonal, or cylindrical symmetric laser beam passes through a real ABCD optical system. The product of the minimum width multiplied by the divergence of the beam is invariant under ABCD transformations. Some examples are given.
我们定义了非高斯和非球面光束的宽度、发散度和曲率半径。还定义了一个复光束参数作为前三个参数的函数。然后我们证明,当非高斯和非球面、正交或圆柱对称激光束通过一个实际的ABCD光学系统时,ABCD定律对于变换新的复光束参数仍然有效。光束的最小宽度与发散度的乘积在ABCD变换下是不变的。给出了一些示例。