Error estimates for Gaussian beams at a fold caustic
نویسندگان
چکیده
In this work we show an error estimate for a first order Gaussian beam at fold caustic, approximating time-harmonic waves governed by the Helmholtz equation. For caustic that study exact solution can be constructed using Airy functions and there are explicit formulae parameters. Via precise comparisons pointwise on is of O ( k − 5 / 6 ) where wave number in Helmholtz.
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2023
ISSN: ['0921-7134', '1875-8576']
DOI: https://doi.org/10.3233/asy-231852