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Optimizing diffraction catastrophe evaluation
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DOI：10.1364/OL.36.004413.png)
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Abstract
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A theoretical analysis is proposed, aimed at investigating the character of those power series expansions recently considered for the evaluation of several types of diffraction catastrophes. A hyperlinear convergence is found to be the signature for such expansions, so that the results of the numerical experiments recently carried out find a meaningful interpretation in terms of the accelerating action operated by the Weniger transformation. As an important by-product of our analysis, simple criteria, aimed at numerically optimizing the diffraction catastrophe evaluations, are provided through analytical expressions. (C) 2011 Optical Society of America
Keywords:
NUMERICAL EVALUATION
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3.3
Papers:
4.0W
Citations:
7.6W
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