Journal article
First order corrections to the homogenized scattering resonances for periodic scatterers
Journal of mathematical physics, v 66(4), 043502
Apr 2025
Abstract
We consider the asymptotic analysis of the resonances of the scalar Helmholtz equation corresponding to a bounded scatterer with a periodic index of refraction and small period size ϵ. When the homogenized resonance is simple, we derive an explicit formula for the first order corrections to the limiting resonances. For scatterers with boundary that has a flat part of rational normal, the first order corrections are not unique and depend on the interaction of the boundary of the scatterer with the microstructure. In this case the resonances converge only O(ϵ) in general. For smooth domains with no flat parts, the resonances converge o(ϵ), but the convergence is nonetheless sub-quadratic.
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Details
- Title
- First order corrections to the homogenized scattering resonances for periodic scatterers
- Creators
- Alexander Furia - Chestnut Hill CollegeShari Moskow - Drexel University
- Publication Details
- Journal of mathematical physics, v 66(4), 043502
- Publisher
- AIP Publishing
- Number of pages
- 16
- Grant note
- DMS-2008441; DMS-2308200 / National Science Foundation (https://doi.org/10.13039/100000001)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001473119800002
- Scopus ID
- 2-s2.0-105003556710
- Other Identifier
- 991022049011404721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Physics, Mathematical