26 August 2008 Simulation of a passive grating-heterodyne super-resolution concept
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We have developed a computer simulation to demonstrate the use of a periodic grating structure in the near field of a telescope to super-resolve objects in the far field. The separation between the telescope pupil and the grating provides a periodic anisoplanatism for the telescope, modulating the measured brightness of a point source as it moves across the field normal to the grating. The resulting periodic modulation of an extended source can thus produce a spatial frequency heterodyning effect, where frequency components outside the diffraction passband are aliased inside the passband and measured. Using the simulation, we have quantitatively validated the analytically-predicted periodic blur function for the case of single near-field grating. Further, we have shown the heterodyning effect is observed when the distance between the grating and pupil corresponds to the Talbot distance, where the grating forms a "self-image" in the plane of the pupil.
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David W. Tyler, David W. Tyler, Eamon B. Barrett, Eamon B. Barrett, } "Simulation of a passive grating-heterodyne super-resolution concept", Proc. SPIE 7094, Unconventional Imaging IV, 709403 (26 August 2008); doi: 10.1117/12.796115; https://doi.org/10.1117/12.796115

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