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Proceedings Paper

Effects of astigmatic aberration in holographic generation of Laguerre-Gaussian beam
Author(s): Atsushi Wada; Yoko Miyamoto; Takumi Ohtani; Noboru Nishihara; Mitsuo Takeda
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Paper Abstract

The Laguerre-Gaussian (LG) beam is an optical beam with a phase singularity that propagates along its axis. We have studied the effect of astigmatnic aberration on LG beams through numerical simulation and experiment. An LG beam with astigmatic aberration can undergo various transformations. An LG beam with astigmatic aberration can be expanded in terms of Hermite-Gaussian (HG) beams whose horizontal and vertical axes are aligned with the axes of the astigmatism. By redefining the expansion coefficients to include the Gouy phase of the HG beams, the coefficients can be reduced to a single parameter that depends on the propagation distance. It can be shown that the various transformations of the LG beam is governed by this parameter. This presents us with a simple method of estimation the beam profile and positions of the split phase singularities at any given propagation distance. The estimations show good agreement with intensity and phase distributions calculated with the angular spectrum method.

Paper Details

Date Published: 6 October 2003
PDF: 4 pages
Proc. SPIE 5137, International Conference on Lasers, Applications, and Technologies 2002: Advanced Lasers and Systems, (6 October 2003); doi: 10.1117/12.517961
Show Author Affiliations
Atsushi Wada, Univ. of Electro-Communications (Japan)
Yoko Miyamoto, Univ. of Electro-Communications (Japan)
Takumi Ohtani, Univ. of Electro-Communications (Japan)
Noboru Nishihara, Univ. of Electro-Communications (Japan)
Mitsuo Takeda, Univ. of Electro-Communications (Japan)

Published in SPIE Proceedings Vol. 5137:
International Conference on Lasers, Applications, and Technologies 2002: Advanced Lasers and Systems
Guenter Huber; Ivan A. Scherbakov; Vladislav Ya. Panchenko, Editor(s)

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