Self-imaging with finite energy
- 15 February 1997
- journal article
- Published by Optica Publishing Group in Optics Letters
- Vol. 22 (4) , 200-202
- https://doi.org/10.1364/ol.22.000200
Abstract
General solutions and conditions are presented for paraxial waves that image themselves with different scales through free propagation. These waves, represented as superpositions of Gauss–Laguerre modes, have finite energy and thus finite effective width. The self-imaging wave fields described by Montgomery [J. Opt. Soc. Am. 57, 772 (1967)], which possess a Fourier transform that is confined to a ring structure, are obtained as a specific limiting case of an infinite aperture.Keywords
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