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1. Dept. Elect. Eng. Technion – Israel Institute of Technology. Rotating Beams. Yoav Y. Schechner. Joint studies with J. Shamir, R. Piestun, A. Greengard. propagation direction. a helical wavefront. Waves having a Phase Dislocation. Yoav Schechner. helical wavefront surface.

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## Rotating Beams

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

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