Theory of the spatial structure of non-linear lasing modes

Details Theory of the spatial structure of non-linear lasing modes Theory of the spatial structure of non-linear lasing modes

2006-10-09

arxiv.org/abs/cond-mat/0610229v1

Phys. Rev. A 76, 013813 (2007) (4 pages)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.76.013813

A self-consistent integral equation is formulated and solved iteratively which determines the steady-state lasing modes of open multi-mode lasers. These modes are naturally decomposed in terms of frequency dependent biorthogonal modes of a linear wave equation and not in terms of resonances of the cold cavity. A one-dimensional cavity laser is analyzed and the lasing mode is found to have non-trivial spatial structure even in the single-mode limit. In the multi-mode regime spatial hole-burning and mode competition is treated exactly. The formalism generalizes to complex, chaotic and random laser media.

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