Optical Fourier transforms in the nano range

This paper highlights the recently developed technique of Nano-Holographic Interferometry via far field microscopy. The main difference between conventional lens holography of phase objects and the methodology presented in this paper is that the observations are made well beyond the classical limits of optical resolution. Going beyond the resolution limits becomes feasible by the use of evanescent wave fronts as a source of illumination. The objects to be analyzed enter an excited state that produces pseudo-non-diffracting wave fronts. These wave fronts travel well beyond the traditional limits and enable the observations of nano-particles via a far field microscope. These discoveries open up new possibilities for Experimental Nano-mechanics that were previously thought impossible.