1,720,965 research outputs found
zmoitier/Scattering_BIE_QPAX: Figure code
No full textThis is the code associated with the article: C. Carvalho, A. D. Kim, L. Lewis, and Z. Moitier, Quadrature by Parity Asymptotic eXpansions (QPAX) for scattering by high aspect ratio particles
zmoitier/bessel_complex_order: Initial release
No full textCompute the Bessel and Hankel function with large complex order
zmoitier/bessel_complex_order: v1.0.1 compatibility with Matlab
No full textAdd ... for line breaking
zmoitier/Scattering_BIE_QPAX: Version 3.0.0
No full textAdd the penetrable case and notebook for the proceeding
zmoitier/Scattering_BIE_QPAX: Version 2.0.0
No full textAdded Dirichlet boundary condition and change the api
zmoitier/Asymptotic_metacavity: Initial release
No full textCode for the paper C. Carvalho and Z. Moitier, Asymptotics for metamaterial cavities and their effect on scattering
Scattering resonances in unbounded transmission problems with sign-changing coefficient
No full textIt is well-known that classical optical cavities can exhibit localized phenomena associated to scattering resonances, leading to numerical instabilities in approximating the solution. This result can be established via the ``quasimodes to resonances'' argument from the black-box scattering framework. Those localized phenomena concentrate at the inner boundary of the cavity and are called whispering gallery modes. In this paper we investigate scattering resonances for unbounded transmission problems with sign-changing coefficient (corresponding to optical cavities with negative optical properties, for example made of metamaterials). Due to the change of sign of optical properties, previous results cannot be applied directly, and interface phenomena at the metamaterial-dielectric interface (such as the so-called surface plasmons) emerge. We establish the existence of scattering resonances for arbitrary two-dimensional smooth metamaterial cavities. The proof relies on an asymptotic characterization of the resonances, and showing that problems with sign-changing coefficient naturally fit the black box scattering framework. Our asymptotic analysis reveals that, depending on the metamaterial's properties, scattering resonances situated closed to the real axis are associated to surface plasmons. Examples for several metamaterial cavities are provided
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