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arXiv · 2309.15108

New solution to Airy's equation for modeling beams near turning points

N. A. Lopez
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Abstract

Here I present a summarised description of the general behavior of waves near turning points. I show that when asymptotic matching to a prescribed incident wavefield is performed, the solution changes from being the Airy function to being more generally the hyperbolic umbilic function. This solution accounts for (de-)focusing of the incident wavefield due to gradient-index lensing in addition to the familiar Airy physics, which importantly do not superimpose. Possible applications to fusion research are discussed.

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N. A. Lopez. 2023-09-26. New solution to Airy's equation for modeling beams near turning points. https://arxiv.org/abs/2309.15108

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