Open AccessGenerating a geometric mode for clarifying differences between an operator method and SU(2) wave representation
Author(s) -
Ching-Hsu Chen,
Chi-Feng Chiu
Publication year - 2007
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.15.012692
Subject(s) - operator (biology) , mode (computer interface) , degeneracy (biology) , physics , optics , representation (politics) , transverse plane , field (mathematics) , transverse mode , quantum mechanics , laser , mathematics , computer science , pure mathematics , repressor , law , chemistry , structural engineering , engineering , biology , operating system , biochemistry , political science , transcription factor , bioinformatics , politics , gene
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.