Super-resolution far-field imaging of structured objects using superoscillations

Superoscillation is a phenomenon where the wave oscillates locally faster than its highest Fourier component. It has been used to achieve imaging resolution beyond the classical diffraction limit. In this paper, superoscillatory point-spread functions (PSF) have been designed using antenna array theory for a 4F imaging system to optically image letter masks which are more complex than objects previously reported. Superoscillatory PSFs with side lobes 4 times lower than the diffraction limit and approximately the same spot width are constructed and used to obtain images with resolution better than the diffraction limit in the far field. This is an important step in the eventual integration of superoscillation into microscopy systems.