厄米-高斯光束在内含硬边光阑光学系统中的传输

Propagation of Hermite-Gaussian beam through paraxial optical system with hard-edge aperture

把硬边光阑从复杂光学系统中"移"出来,即把任意一个含有硬边光阑的复杂光学系统体现到含有入射光瞳和出射光瞳的光学系统中,使硬边光阑的作用转化为出射光瞳的作用,以便求出观察面上的解析解。对入射面上的二维厄米-高斯光束,利用柯林斯公式和入射光瞳与出射光瞳的物像关系,可得到所要求观察面的场分布和解析结果,通过数值模拟验证了其正确性。通过分析计算得到如下结论:对于任意一个含有硬边光阑的复杂光学系统,都可以把光阑的作用从系统中"移"出来,把其看作是出射光瞳的作用,从而可以较为简便地求出观察面上的场分布。

The hard-edge aperture is ＂moved out＂ in an complicated optical system, which means to transfer the system with such hard-edge aperture into an optical system with entrance and exit pupils, and the hard-edge aperture is taken as an exit pupil so as to find the analytical solution of a light beam. The intensity distribution of the Hermite-Gaussian beam at the output plane can be characterized by the Collins formula and the relation between aperture and exit pupil, and the analytical expression of the beam at the output plane is obtained directly. Taking an optical system with a hard-edge aperture as an example, the intensity distributions of two low modes of Hermite-Gaussian beam were simulated and numerically calculated with the mathematical software. The analytical results show that the effect of hard-edge aperture can be replaced by the effect of exit pupil for any complicated optical system with a hard-edge aperture and the calculation process is simplified.