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Journal article
Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers
Journal of mathematical physics, v 59(8), p83502
01 Aug 2018
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Abstract
We consider the asymptotic analysis of the resonances of high contrast small volume scatterers for linear and nonlinear scalar waves. The resonance problem is formulated as a nonlinear eigenvalue problem. We derive asymptotic formulae for linear scatterers and nonlinear scatterers of the Kerr type. Our results are illustrated with numerical examples. Published by AIP Publishing.
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Details
- Title
- Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers
- Creators
- Taoufik Meklachi - Drexel UniversityShari Moskow - Drexel UniversityJohn C. Schotland - University of Michigan–Ann Arbor
- Publication Details
- Journal of mathematical physics, v 59(8), p83502
- Publisher
- American Institute of Physics
- Number of pages
- 20
- Grant note
- DMS-1411721; DMS-1715425; DMS-1619907 / NSF; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000443724800042
- Scopus ID
- 2-s2.0-85051185950
- Other Identifier
- 991019167788904721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Mathematical