Huang Shengyang, Xi Fengjie, Liu Changhai, Jiang Zongfu
College of Optoelectronic Science and Engineering, National University of Defense Technology, Changsha, Hunan, China.
J Opt Soc Am A Opt Image Sci Vis. 2012 Apr 1;29(4):513-20. doi: 10.1364/JOSAA.29.000513.
Phase retrieval on an annular pupil and an annular sector pupil by using the eigenfunction method to solve the transport of intensity equation is proposed. The analytic expressions of Laplacian eigenfunctions with the Neumann boundary condition on an annular pupil and an annular sector pupil are given. The phase can be expanded as a set of eigenfunctions on the corresponding pupil, and the coefficients of the eigenfunctions can be obtained by the integral of the eigenfunction and the intensity derivative along the optical axis. Phase retrieval by the eigenfunction method on an annular pupil and an annular sector pupil is simulated, and accurate retrieved results are obtained.
提出了利用本征函数法求解强度传输方程来进行环形光瞳和环形扇形光瞳的相位恢复。给出了在环形光瞳和环形扇形光瞳上具有诺伊曼边界条件的拉普拉斯本征函数的解析表达式。相位可展开为相应光瞳上的一组本征函数，本征函数的系数可通过本征函数与沿光轴强度导数的积分得到。对环形光瞳和环形扇形光瞳采用本征函数法进行相位恢复进行了模拟，并得到了准确的恢复结果。
