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Rotating Beams

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. 1 Dept. Elect. Eng. Technion – Israel Institute of Technology Rotating Beams Yoav Y. Schechner Joint studies with J. Shamir, R. Piestun, A. Greengard

  2. propagation direction a helical wavefront Waves having a Phase Dislocation Yoav Schechner

  3. 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

  4. 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

  5. Rotating PSF Schechner

  6. Computer-Generated Hologram (Diffractive Optical Element) Schechner et. al, Physical ReviewE 1996

  7. z Utopian Geometric PSF Width changes linearly with z Yoav Schechner

  8. Standard PSF z Width changes with z …by just a 2nd order

  9. Standard PSF Rotating PSF Greengard, Schechner, Piestun

  10. Greengard, Schechner, Piestun: Depth from diffracted rotation

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