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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 22, Iss. 12 — Dec. 1, 2005
  • pp: 2746–2755

Propagation analysis of the Laguerre–Gaussian beam with astigmatism

Atsushi Wada, Takumi Ohtani, Yoko Miyamoto, and Mitsuo Takeda  »View Author Affiliations

JOSA A, Vol. 22, Issue 12, pp. 2746-2755 (2005)

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The entire range of transformations that a Laguerre–Gaussian (LG) beam with astigmatism can go through in free space is clarified. The transformations are governed by the relative phase between the astigmatic Hermite–Gaussian components. Formulas describing the behavior of this relative phase are obtained and used to classify and map the transformation patterns to initial beam parameters. The difference between an LG beam and a phase singular beam generated by a hologram under astigmatic conditions is also investigated.

© 2005 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(140.3300) Lasers and laser optics : Laser beam shaping
(220.1010) Optical design and fabrication : Aberrations (global)
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Geometrical optics

Original Manuscript: November 19, 2004
Revised Manuscript: May 9, 2005
Manuscript Accepted: May 11, 2005
Published: December 1, 2005

Atsushi Wada, Takumi Ohtani, Yoko Miyamoto, and Mitsuo Takeda, "Propagation analysis of the Laguerre–Gaussian beam with astigmatism," J. Opt. Soc. Am. A 22, 2746-2755 (2005)

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