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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 25 — Dec. 3, 2012
  • pp: 27253–27262

A diffractive mechanism of focusing

W. B. Case, E. Sadurni, and W. P. Schleich  »View Author Affiliations


Optics Express, Vol. 20, Issue 25, pp. 27253-27262 (2012)
http://dx.doi.org/10.1364/OE.20.027253


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Abstract

We examine the free time evolution of a rectangular one dimensional Schrödinger wave packet of constant phase during the early stage which in the paraxial wave approximation is identical to the diffraction of a scalar field from a single slit. Our analysis, based on numerics and the Cornu spiral reveals considerable intricate detail behavior in the density and phase of the wave. We also point out a concentration of the intensity that occurs on axis and propose a new measure of width that expresses this concentration.

© 2012 OSA

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(260.1960) Physical optics : Diffraction theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 5, 2012
Revised Manuscript: October 22, 2012
Manuscript Accepted: October 24, 2012
Published: November 19, 2012

Citation
W. B. Case, E. Sadurni, and W. P. Schleich, "A diffractive mechanism of focusing," Opt. Express 20, 27253-27262 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-25-27253


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