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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 22, Iss. 4 — Feb. 15, 1997
  • pp: 200–202

Self-imaging with finite energy

Rafael Piestun, Yoav Y. Schechner, and Joseph Shamir  »View Author Affiliations


Optics Letters, Vol. 22, Issue 4, pp. 200-202 (1997)
http://dx.doi.org/10.1364/OL.22.000200


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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.

© 1997 Optical Society of America

Citation
Rafael Piestun, Yoav Y. Schechner, and Joseph Shamir, "Self-imaging with finite energy," Opt. Lett. 22, 200-202 (1997)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-22-4-200

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