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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 20 — Oct. 1, 2007
  • pp: 12692–12698

Generating a geometric mode for clarifying differences between an operator method and SU(2) wave representation

Ching-Hsu Chen and Chi-Feng Chiu  »View Author Affiliations

Optics Express, Vol. 15, Issue 20, pp. 12692-12698 (2007)

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We study both numerically and experimentally a specific geometric mode, named VW mode, in an end-pumped Nd:YVO4 laser with a plano-concave cavity near the 1/3-degeneracy. Three theoretical methods are used to analyze the transverse profiles, the operator method [J. Opt. Soc. Am. A 22, 1559 (2005)], the SU(2) wave representation [Phys. Rev. A 69, 053807 (2004)], and the Fox-Li approach. Some differences among them are addressed and clarified. Moreover, the generating conditions for VW mode are found peculiar and its propagation character is demonstrated. By comparing the experimental mode patterns with the three numerical results, we conclude that the field of a geometric mode in the operator method should be extended to include those of the reverse directional trajectories and the SU(2) coherent state representation is found too specific to produce the fringes within some transverse patterns.

© 2007 Optical Society of America

OCIS Codes
(140.0140) Lasers and laser optics : Lasers and laser optics
(140.3410) Lasers and laser optics : Laser resonators
(140.3580) Lasers and laser optics : Lasers, solid-state
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Lasers and Laser Optics

Original Manuscript: August 1, 2007
Revised Manuscript: September 10, 2007
Manuscript Accepted: September 13, 2007
Published: September 19, 2007

Ching-Hsu Chen and Chi-Feng Chiu, "Generating a geometric mode for clarifying differences between an operator method and SU(2) wave representation," Opt. Express 15, 12692-12698 (2007)

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Fig. 1. Fig. 2. Fig. 3.

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