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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 34 — Dec. 1, 2007
  • pp: 8284–8290

Self-healing property of a caustic optical beam

Marcelino Anguiano-Morales, Amalia Martínez, M. David Iturbe-Castillo, Sabino Chávez-Cerda, and N. Alcalá-Ochoa  »View Author Affiliations

Applied Optics, Vol. 46, Issue 34, pp. 8284-8290 (2007)

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It is well known that Bessel beams and the other families of propagation-invariant optical fields have the property of self-healing when obstructed by an opaque object. Here it is shown that there exists another kind of field distribution that can have an analog property. In particular, we demonstrate that a class of caustic wave fields, whose transverse intensity patterns change on propagation, when perturbed by an opaque object can reappear at a further plane as if they had not been obstructed. The physics of the phenomenon is fully explained and shown to be related to that of self-healing propagation invariant optical fields.

© 2007 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(050.1970) Diffraction and gratings : Diffractive optics
(080.1010) Geometric optics : Aberrations (global)
(080.1510) Geometric optics : Propagation methods

ToC Category:
Diffraction and Gratings

Original Manuscript: April 19, 2007
Revised Manuscript: July 31, 2007
Manuscript Accepted: October 2, 2007
Published: November 27, 2007

Marcelino Anguiano-Morales, Amalia Martínez, M. David Iturbe-Castillo, Sabino Chávez-Cerda, and N. Alcalá-Ochoa, "Self-healing property of a caustic optical beam," Appl. Opt. 46, 8284-8290 (2007)

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  1. J. H. McLeod, "Axicon: a new type of optical element," J. Opt. Soc. Am. 44, 592-597 (1954). [CrossRef]
  2. S. Fujiwara, "Optical properties of conical surfaces. I. Reflecting cone," J. Opt. Soc. Am. 52, 287-292 (1962). [CrossRef]
  3. J. L. Rayces, "Formation of axicon images," J. Opt. Soc. Am. 48, 576-578 (1958). [CrossRef]
  4. J. H. Y. Lit, "Image formation of a reflecting cone for an off-axis source," J. Opt. Soc. Am. 60, 1001-1006 (1970). [CrossRef]
  5. J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987). [CrossRef]
  6. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]
  7. S. Chávez-Cerda, "A new approach to Bessel beams," J. Mod. Optic. 46, 923-930 (1999).
  8. M. Anguiano-Morales, M. M. Méndez-Otero, M. D. Iturbe-Castillo, and S. Chávez-Cerda, "Conical dynamics of Bessel beams," Opt. Eng. 46, 078001 (2007). [CrossRef]
  9. G. Scott and N. McArdle, "Efficient generation of nearly diffraction-free beams using an axicon," Opt. Eng. 31, 2640-2643 (1992). [CrossRef]
  10. T. Poston and I. Stewart, Catastrophe Theory and Its Applications (Pitman Publishing, 1976).
  11. S. Chávez-Cerda, J. C. Gutiérrez-Vega, and G. H. C. New, "Elliptic vortices of electromagnetic wavefields," Opt. Lett. 26, 1803-1805 (2001). [CrossRef]
  12. M. A. Bandrés, J. C. Gutierrez-Vega, and Sabino Chávez-Cerda, "Parabolic nondiffracting optical wavefields," Opt. Lett. 29, 44-46 (2004). [CrossRef] [PubMed]

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