Designing continuous-phase super-resolving filters by differential evolution and conjugate gradient method

Hongtao Gao; Song Hu; Yudong Zhang; Wei Yan

doi:10.1117/1.OE.55.12.125108

28 December 2016 Designing continuous-phase super-resolving filters by differential evolution and conjugate gradient method

Hongtao Gao, Song Hu, Yudong Zhang, Wei Yan

Author Affiliations +

Optical Engineering, Vol. 55, Issue 12, 125108 (December 2016). https://doi.org/10.1117/1.OE.55.12.125108

Abstract

A method for designing a class of phase-only super-resolving filters with continuous-phase that can be described by a sum of Zernike polynomials with weight coefficients is presented. With the use of the global search algorithm, differential evolution method, and the local search algorithm, the conjugate gradient method, three filters were designed as examples. The main-lobe size of the point spread function of the three filters can be reduced, keeping allowable central intensity and sidelobe intensity for some typical applications. This type of filter has the advantage of lower scatter compared with other phase-only filters composed of discontinuous phase. In particular, such filters can be implemented dynamically by a phase-controlling device.

Citation Download Citation

Hongtao Gao, Song Hu, Yudong Zhang, and Wei Yan "Designing continuous-phase super-resolving filters by differential evolution and conjugate gradient method," Optical Engineering 55(12), 125108 (28 December 2016). https://doi.org/10.1117/1.OE.55.12.125108

Received: 30 August 2016; Accepted: 21 November 2016; Published: 28 December 2016

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