Statistics – Applications
Scientific paper
Jan 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998aipc..420..112b&link_type=abstract
Space technology and applications international forum - 1998. AIP Conference Proceedings, Volume 420, pp. 112-118 (1998).
Statistics
Applications
Resonators, Cavities, Amplifiers, Arrays, And Rings, Numerical Linear Algebra
Scientific paper
A new formulation for deriving `exact' coherent differential rate equations in the cavity fields of laser resonators of arbitrary geometry and dimensionality is presented. Using an integral equation as formal starting point, e.g. a Fox-Li expression, optical rate equations are derived following a rigorous procedure that guarantees preservation of the resonator modal structure. While the form of such rate equations is generally not unique, all obtained in this manner are equivalent in the sense that the same dynamical information is contained in them as in the original integral equation. The method bridges two previously unconnected disciplines in resonator optics, so that the results of one discipline can be applied to the other, presenting new opportunities for vastly increased power in the concise theoretical description of laser cavities of almost any kind. As a demonstration, the example of two longitudinally-coupled Fabry-Perot lasers separated by a gap is studied in detail, yielding agreement with previous models in the weak interaction limit, but for semiconductor lasers, having comparatively strong coupling, the numerical corrections are very significant. The rate equation for a distributed feedback laser is derived in a second example, producing a simple expression for the effect of spatial hole burning on the linewidth. Evidence of experimental consistency is cited in both examples.
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