Convex objective function-based design method developed for minimizing side lobe.
The existence of multiple local solutions makes it very difficult to search for filter parameters to achieve a desired side lobe level during the design of superresolution pupil filters. To deal with the difficult issue of side lobe control in the designing process, a convex objective function-based design method is developed through phase rotation and variable replacement to transform the complicated solving process with multiextreme subintervals into a simple optimization process with a convex interval. A group of constant annular complex superresolving filters are designed using the developed method. The comparison of the superresolving filters designed in this way with the well-known continuous phase filter and 3-zone multiphase diffractive superresolution filters proves the validity of the developed method.
Liu
Jian
J
Ultra-Precision Optoelectronic Instrument Engineering Institute, Harbin Institute of Technology, No. 92, West Da-Zhi Street, Harbin 150001, Heilongjiang, China. liujian@hit.edu.cn
Tan
Jiubin
J
Zhao
Chenguang
C