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Theory of the spatial structure of non-linear lasing modes

Hakan E. Türeci·A. Douglas Stone·Li Ge
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Abstract

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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Hakan E. Türeci, A. Douglas Stone, Li Ge. 2006-10-09. Theory of the spatial structure of non-linear lasing modes. https://doi.org/10.1103/physreva.76.013813

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