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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 22 — Aug. 1, 2008
  • pp: 4061–4067

Convex objective function-based design method developed for minimizing side lobe

Jian Liu, Jiubin Tan, and Chenguang Zhao  »View Author Affiliations


Applied Optics, Vol. 47, Issue 22, pp. 4061-4067 (2008)
http://dx.doi.org/10.1364/AO.47.004061


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Abstract

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

OCIS Codes
(100.6640) Image processing : Superresolution
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(220.1230) Optical design and fabrication : Apodization

ToC Category:
Image Processing

History
Original Manuscript: April 15, 2008
Revised Manuscript: June 16, 2008
Manuscript Accepted: July 7, 2008
Published: July 25, 2008

Citation
Jian Liu, Jiubin Tan, and Chenguang Zhao, "Convex objective function-based design method developed for minimizing side lobe," Appl. Opt. 47, 4061-4067 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-22-4061

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