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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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Long-term spatiotemporal dynamics of solid-state lasers and vertical-cavity surface-emitting lasers

Oppo, G.L. and Yao, Alison and Prati, F. and de Valcarcel, G.J. (2009) Long-term spatiotemporal dynamics of solid-state lasers and vertical-cavity surface-emitting lasers. Physical Review A, 79 (3). 033824. ISSN 1094-1622

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Abstract

The number of Maxwell-Bloch equations describing the spatiotemporal evolution of solid-state and semiconductor-based lasers can be reduced when the temporal scales of the fields and atomic variables are very different. We demonstrate the existence of slow (center) manifolds for models of solid-state lasers (such as Nd:YAG) and vertical-cavity surface-emitting lasers and determine reduced equations in the presence of both diffraction and carrier diffusion. Two separate methods of obtaining the reduced equations are presented. Excellent agreement between the reduced models and the original equations is obtained when the slow manifolds are expanded in a perturbative series. Since stiffness is removed, the computational time for the long-term spatiotemporal dynamics of these devices can be strongly reduced, typically by 2 orders of magnitude.