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A fast azimuthally symmetric fluorescence algorithm for thin disk laser modeling

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Abstract

This paper introduces a fast numerical method for the estimation of the fluorescence in an azimuthally symmetric cylindrical structure. The core technique of the approach is the expression of the volume fluorescence integral in terms of the absorption path integral parametrization variable. With the parametrization and cylindrical symmetry, the computationally intensive absorption path integrals need only be computed once. Volume integration is quickly performed using explicit elemental area expressions. Reflections from the ends of the cylindrical structure are included through integration over virtual volumes. A coarse quadrature truncation error estimate is provided. Finally, the utility of the algorithm is demonstrated for representative thin disk models. The algorithm was developed in MATLAB but also implemented in standard C to further reduce simulation run times.

©2012 Optical Society of America

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