Influences of phase shift on superresolution performances of annular filters
Liu Xi-Min (刘锡民)ab, Liu Li-Ren (刘立人)a, Bai Li-Hua (白丽华)ab
a Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, Chinab Graduate School of Chinese Academy of Sciences, Beijing 100049, China
Abstract This paper investigates the influences of phase shift on superresolution performances of annular filters. Firstly, it investigates the influence of phase shift on axial superresolution. It proves theoretically that axial superresolution can not be obtained by two-zone phase filter with phase shift $\pi$, and it gets the phase shift with which axial superresolution can be brought by two-zone phase filter. Secondly, it studies the influence of phase shift on transverse superresolution. It finds that the three-zone phase filter with arbitrary phase shift has an almost equal optimal transverse gain to that of commonly used three-zone phase filter, but can produce a much higher axial superresolution gain. Thirdly, it investigates the influence of phase shift on three-dimensional superresolution. Three-dimensional superresolution capability and design margin of three-zone complex filter with arbitrary phase shift are obtained, which presents the theoretical basis for three-dimensional superresolution design. Finally, it investigates the influence of phase shift on focal shift. To obtain desired focal shifts, it designs a series of three-zone phase filters with different phase shifts. A spatial light modulator (SLM) is used to implement the designed filters. By regulating the voltage imposed on the SLM, an accurate focal shift control is obtained.
Received: 20 September 2005
Revised: 23 November 2005
Accepted manuscript online:
Fund: Project supported by the Science and Technology Committee of China (Grant No 2002CCA03500) and the National Natural Science Foundation of China (Grant No 60177016).
Cite this article:
Liu Xi-Min (刘锡民), Liu Li-Ren (刘立人), Bai Li-Hua (白丽华) Influences of phase shift on superresolution performances of annular filters 2006 Chinese Physics 15 708
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