D'Alessandro, G., Kent, A.J. and Oppo, G.-L.
Centre manifold reduction of laser equations with transverse effects: an approach based on modal expansion.
Optics Communications, 131, (1-3), . (doi:10.1016/0030-4018(96)00366-5).
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Centre Manifold theory is a valuable method for analysing and simplifying partial differential equations that appear in the study of transverse effects in nonlinear optics. In this paper we analyse its application to the Maxwell-Bloch equations for lasers with spherical mirrors and finite size pumps. By taking advantage of the expansion in cavity modes, we successfully compare reduced models with the original one for broad ranges of the parameters.
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