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Optics Letters

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  • Vol. 21, Iss. 16 — Aug. 15, 1996
  • pp: 1205–1207

Shape-invariance range of a light beam

F. Gori, S. Vicalvi, M. Santarsiero, and R. Borghi  »View Author Affiliations


Optics Letters, Vol. 21, Issue 16, pp. 1205-1207 (1996)
http://dx.doi.org/10.1364/OL.21.001205


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Abstract

A typical axially symmetric light beam on paraxial free propagation maintains the same transverse shape as at the waist plane for a certain range along its axis. We discuss a general procedure for estimating this range.

© 1996 Optical Society of America

History
Original Manuscript: February 12, 1996
Published: August 15, 1996

Citation
F. Gori, S. Vicalvi, M. Santarsiero, and R. Borghi, "Shape-invariance range of a light beam," Opt. Lett. 21, 1205-1207 (1996)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-21-16-1205


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References

  1. A. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
  2. P. M. Mejías, H. Weber, R. Martínez-Herrero, A. González-Urena, eds., Proceedings of the Workshop on Laser Beam Characterization (Sociedad Espanola de Optica, Madrid, 1993).
  3. H. Weber, N. Reng, J. Lüdtke, P. M. Mejías, eds., Laser Beam Characterization (Festkörper-Laser-Institute, Berlin, 1994).
  4. A waist plane can be uniquely determined for any beam in paraxial propagation. 5
  5. A. Siegman, Proc. SPIE 1224, 2 (1990). [CrossRef]
  6. Of course, near the diffracting screen the paraxial approximation breaks down. Situations like this are then to be considered limiting cases.
  7. R. L. Phillips, L. C. Andrews, Appl. Opt. 22, 643 (1983). [CrossRef] [PubMed]
  8. P. A. Bélanger, Opt. Lett. 16, 196 (1991). [CrossRef] [PubMed]
  9. S. Flügge, Practical Quantum Mechanics (Springer-Verlag, Berlin, 1974), Problem 42.

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