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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 12 — Dec. 1, 1998
  • pp: 3039–3044

Generalized propagation-invariant wave fields

Rafael Piestun and Joseph Shamir  »View Author Affiliations


JOSA A, Vol. 15, Issue 12, pp. 3039-3044 (1998)
http://dx.doi.org/10.1364/JOSAA.15.003039


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Abstract

Necessary and sufficient conditions are presented that determine a generalized class of propagation-invariant wave fields. The existence of wave fields with transverse distributions that are periodically reproduced with different azimuthal orientations is demonstrated. These fields are conveniently described in the longitudinal-azimuthal frequency representation. An interesting subclass is characterized by aperiodic rotated self-images, in the sense that they never return to their original orientation along the propagation. Other subclasses include the conventional self-imaging wave fields, the so-called nondiffracting beams, and the rotating wave fields.

© 1998 Optical Society of America

OCIS Codes
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(260.1960) Physical optics : Diffraction theory
(350.7420) Other areas of optics : Waves

Citation
Rafael Piestun and Joseph Shamir, "Generalized propagation-invariant wave fields," J. Opt. Soc. Am. A 15, 3039-3044 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-12-3039

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