Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers
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.
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in [Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers. Journal of Mathematical Physics 59, 8 (2018)] and may be found at https://doi.org/10.1063/1.5031032.
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Work Title | Asymptotic analysis of resonances of small volume high contrast linear and nonlinear scatterers |
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License | In Copyright (Rights Reserved) |
Work Type | Article |
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Publication Date | August 6, 2018 |
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Deposited | November 12, 2023 |
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