
2D and 3D sub-diffraction source imaging with a superoscillatory filter
Author(s) -
Reza K. Amineh,
George V. Eleftheriades
Publication year - 2013
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.21.008142
Subject(s) - optics , diffraction , holography , robustness (evolution) , coded aperture , wavelength , point spread function , computer science , image resolution , image quality , physics , computer vision , image (mathematics) , detector , biochemistry , chemistry , gene
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.