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• W2947978032 abstract "In this paper, we will first give a derivation of the multipole expansion (ME) and local expansion (LE) for the far field from sources in general 2-D layered media and the multipole-to-local translation (M2L) operator by using the generating function for Bessel functions. Then, we present a rigorous proof of the exponential convergence of the ME, LE, and M2L for 2-D Helmholtz equations in layered media. It is shown that the convergence of ME, LE, and M2L for the reaction field component of the Green's function depends on a polarized distance between the target and a polarized image of the source." @default.
• W2947978032 created "2019-06-07" @default.
• W2947978032 creator A5044102523 @default.
• W2947978032 creator A5059948481 @default.
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• W2947978032 date "2018-09-20" @default.
• W2947978032 modified "2023-09-27" @default.
• W2947978032 title "Exponential convergence for multipole and local expansions and their translations for sources in layered media: 2-D acoustic wave." @default.
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• W2947978032 hasPublicationYear "2018" @default.
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