Open AccessExtraction characteristics of a one dimensional Talbot cavity with stochastic propagation phase
Author(s) -
P. Peterson,
A. Gavrielides,
M. P. Sharma
Publication year - 2001
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.8.000670
Subject(s) - optics , physics , monte carlo method , dispersion (optics) , phase (matter) , amplitude , common emitter , coherence (philosophical gambling strategy) , fresnel number , talbot effect , optoelectronics , quantum mechanics , mathematics , statistics , diffraction , grating
We study the near- and far-fields of a linear array of fiber lasers in an external Talbot cavity. Each emitter has a random optical path difference (OPD) phase due to length and dispersion differences. The individual emitter fields are described by forward and reverse differential equations in the Rigrod approximation with the Talbot cavity coupling all emitters through boundary conditions. We analytically determine the effect of the rms phase on the increase in the threshold, the decrease in the emitter amplitude, and the decrease in the far-field intensity. These results are confirmed numerically by using a Monte Carlo technique for the phase. This leads to a locking probability, a coherence function, and the on-axis intensity as functions of the rms phase. Another issue which we investigate is the cavity performance for inter-cavity and external cavity phasing and find the latter preferable. We also determine the strong coupling limit for the fill factor.