dept. elect. eng. technion – israel institute of technology rotating beams yoav y. schechner 1...
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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 : momentu
m
Waves having a Phase Dislocation
Schechner & Shamir
propagation direction
Isotropic dislocation: helical
wavefront
propagation directionAnisotropic 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 2nd order
z
Rotating PSF
Standard PSF
Greengard, Schechner, Piestun
Greengard, Schechner, Piestun: Depth from diffracted rotation