Holographic generation of wavelet beam shapes with dynamic scaling parameter

Abstract

We generate novel beam shapes in the form of wavelet-­like intensity patterns using analytically derived holograms. A Mexican hat intensity pattern is generated holographically by encoding a π­-phase shifting disk to a spatial light modulator. We demonstrate that the scaling property of wavelets can be achieved by changing the ratio of the π­-phase shifting disk radius with respect to the radius of aperture truncating the incident beam. We verify the projection of the wavelet by encoding an appropriate hologram on a phase­-only spatial light modulator. We show intensity patterns representing that of a Mexican hat wavelet and show its dynamic scaling properties. This work point towards the optical implementation of a multi­-resolution wavelet microscope with the structured point spread functions in the form of wavelet intensity patterns.