A mathematical framework for tunable metasurfaces. II. (English) Zbl 1442.35443

Summary: This paper is concerned with wave propagation inside a cavity with a tunable boundary condition. It is a follow-up of [the authors, ibid. 114, No. 3–4, 129–179 (2019; Zbl 1443.35153)]. Cavities, because they trap waves for long times due to their reflecting walls, are used in a vast number of scientific domains. Indeed, in these closed media and due to interferences, the free space continuum of solutions becomes a discrete set of stationary eigenmodes. These enhanced stationary fields are commonly used in fundamental physics to increase wave-matter interactions. The eigenmodes and associated eigenfrequencies of a cavity are imposed by its geometrical properties throughthe boundary conditions. In this paper, we show the effect of a small change of boundary condition on the Green’s function of the cavity. This is achieved through the use of a tunable reflecting metasurface. The boundary condition can be switched from Dirichlet to Neumann at some specific resonant frequencies.


35Q61 Maxwell equations
74F15 Electromagnetic effects in solid mechanics
35J08 Green’s functions for elliptic equations
78A40 Waves and radiation in optics and electromagnetic theory
35P15 Estimates of eigenvalues in context of PDEs


Zbl 1443.35153
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