Wide angle near-field diffraction and Wigner distribution

Authors: Almeida, José B.¹; Lakshminarayanan, Vasudevan²

Source: Optik – International Journal for Light and Electron Optics, Volume 114, Number 7, November 2003 , pp. 333-335(3)

Publisher: Urban & Fischer

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Abstract:

Free-space propagation can be described as a shearing of the Wigner distribution function in the spatial coordinate; this shearing is linear in paraxial approximation but assumes a more complex shape for wide-angle propagation. Integration in the frequency domain allows the determination of near-field diffraction, leading to the well known Fresnel diffraction when small angles are considered and allowing exact prediction of wide-angle diffraction. The authors use this technique to demonstrate evanescent wave formation and diffraction elimination for very small apertures.

Document Type: Research article

DOI: http://dx.doi.org/10.1078/0030-4026-00272

Affiliations: 1: Universidade do Minho, Physics Department, 4710-057 Braga, Portugal 2: University of Missouri - St. Louis, School of Optometry and Department of Physics and Astronomy, St. Louis, MO 63121, USA

Publication date: 2003-11-01