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.
© 2008 Optical Society of America
Original Manuscript: April 15, 2008
Revised Manuscript: June 16, 2008
Manuscript Accepted: July 7, 2008
Published: July 25, 2008
Jian Liu, Jiubin Tan, and Chenguang Zhao, "Convex objective function-based design method developed for minimizing side lobe," Appl. Opt. 47, 4061-4067 (2008)