In non-trapping metamaterial cavities with negative wave speed, near-real resonances exist exactly when the boundary index exceeds a threshold, are localized at the boundary, and obey a Weyl law.
On the spectral theory of sign-changing Laplace operators
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abstract
We study spectral theory of sign-changing Laplace operators using semi-classical Dirichlet-to-Neumann maps. We prove the existence of modesconcentrated on the interface and describe an effective semi-classical equation for them.
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Surface plasmons in metamaterial cavities: Scattering by obstacles with negative wave speed
In non-trapping metamaterial cavities with negative wave speed, near-real resonances exist exactly when the boundary index exceeds a threshold, are localized at the boundary, and obey a Weyl law.