Influences of phase shift on superresolution performances of annular filters |
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Authors: | Liu Xi-Min Liu Li-Ren and Bai Li-Hua |
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Affiliation: | Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China; Graduate School of Chinese Academy of Sciences, Beijing 100049, China |
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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 π, 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. |
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Keywords: | superresolution filter design focal shift annular filters |
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