## Design of Three-Dimensional Superresolution Filters and Limits of Axial Optical Superresolution

Applied Optics, Vol. 42, Issue 8, pp. 1463-1476 (2003)

http://dx.doi.org/10.1364/AO.42.001463

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### Abstract

Theories to design a three-dimensional superresolution filter (TDSF) for confocal microscopy are proposed that can obtain a globally optimal solution through linear programming. The designed TDSF is proved to be a phase-only element introducing a phase delay of 0 or π. Five design examples of the TDSF are presented to demonstrate the validity of these theories. Regardless of transverse superresolution, a curve of *S*^{eu}(*G*_{a}^{±}) defined as the maximum value of Strehl ratio *S* under the axial resolving power of *G*_{a}^{±} is calculated to set the fundamental limits of axial optical superresolution. Finally, what is to our knowledge a novel analytic expression of *S*^{eu}(*G*_{a}^{±}) is deduced.

© 2003 Optical Society of America

**OCIS Codes**

(100.6640) Image processing : Superresolution

(120.2440) Instrumentation, measurement, and metrology : Filters

**Citation**

Haitao Liu, Yingbai Yan, Deer Yi, and Guofan Jin, "Design of Three-Dimensional Superresolution Filters and Limits of Axial Optical Superresolution," Appl. Opt. **42**, 1463-1476 (2003)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-8-1463

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