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Proceedings Paper

High numerical aperture focusing of singular beams
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Paper Abstract

Rigorous vector analysis of high numerical aperture optical systems encounters severe difficulties. While existing analytic methods, based on the Richards-Wolf approach, allow focusing of nearly planar incident wavefronts, these methods break down for beams possessing considerable phase jumps, such as beams containing phase singularities. This work was motivated by the need to analyze a recently introduced metrological application of singular beams that demonstrated an experimental sensitivity of 20nm under a moderate numerical aperture of 0.4. One of the possibilities to obtain even better sensitivity is by increasing the numerical aperture of the optical system. In this work we address the issue of high numerical aperture focusing of the involved singular beams. Our solution exploits the superposition principle to evaluate the three dimensional focal distribution of the electromagnetic field provided the illuminating wavefront can be described as having piecewise quasi constant phase. A brief overview of singular beam microscopy is followed by deeper discussion of the involved high numerical aperture focusing issue. Further, a few examples of different singular beam focal field distributions are presented.

Paper Details

Date Published: 7 February 2009
PDF: 9 pages
Proc. SPIE 7227, Complex Light and Optical Forces III, 722709 (7 February 2009); doi: 10.1117/12.808115
Show Author Affiliations
Alexander Normatov, Technion-Israel Institute of Technology (Israel)
Boris Spektor, Technion-Israel Institute of Technology (Israel)
Joseph Shamir, Technion-Israel Institute of Technology (Israel)


Published in SPIE Proceedings Vol. 7227:
Complex Light and Optical Forces III
Enrique J. Galvez; David L. Andrews; Jesper Glückstad, Editor(s)

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