title: 2D and 3D sub-diffraction source imaging with a superoscillatory filter.
abstract: In this paper, we propose an approach to overcome the well-known "diffraction limit" when imaging sources several wavelengths away. We employ superdirectivity antenna concepts to design a well-controlled superoscillatory filter (SOF) based on the properties of Tschebyscheff polynomials. The SOF is applied to the reconstructed images from holographic algorithms which are based on the back-propagation principle. We demonstrate the capability of this approach when imaging point-sources several wavelengths away in one-, two-, and three-dimensional imaging with super-resolution. We also investigate the robustness of the proposed algorithm with the sharpness of the SOF, the presence of noise, the imaging distance, and the size of the scanning aperture.
authors.affiliation: The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, Ontario, Canada. reza.khalajamineh@utoronto.ca
authors.forename: Reza K
authors.initials: RK
authors.lastname: Amineh
authors.forename: George V
authors.initials: GV
authors.lastname: Eleftheriades
mesh_terms: D004867:Equipment Design; D019544:Equipment Failure Analysis; D005374:Filtration / Q000295:instrumentation*; D021621:Imaging, Three-Dimensional / Q000295:instrumentation*; D008027:Light; D009991:Oscillometry / Q000295:instrumentation*; D012031:Refractometry / Q000295:instrumentation*