Dept. Elect. Eng. Technion – Israel Institute of Technology Rotating Beams Yoav Y. Schechner 1 Joint studies with J. Shamir, R. Piestun, A. Greengard
Yoav Schechner Waves having a Phase Dislocation propagation direction a helical wavefront
Yoav Schechner propagation direction helical wavefront surface local k -vectors (normals to the wavefront surface) have azimuthal component local k -vectors orbital angular momentum in the wave k vector : momentum Waves having a Phase Dislocation
Schechner & Shamir propagation direction Isotropic dislocation: helical wavefront propagation direction Anisotropic dislocation Parameterizations Morphological: Stretch angle Eccentricity Dark fringe: a limit of eccentricity Physical: Superposition of isotropic waves Dark fringe: annihilation of isotropic dislocations Angular momentum Anisotropic Dislocations
Rotating PSF Schechner
Schechner et. al, Physical Review E 1996 Computer-Generated Hologram (Diffractive Optical Element)
Utopian Geometric PSF Width changes linearly with z z Yoav Schechner
Standard PSF Width changes with z …by just a 2 nd order z
Rotating PSF Standard PSF Greengard, Schechner, Piestun
Greengard, Schechner, Piestun: Depth from diffracted rotation