Abstract
The resonant frequencies of a one-dimensional bottle-shaped cavity embedded in a ground plane are calculated using a modal approach for s and p polarizations. The same formalism is used to solve the problem of scattering from a surface with a finite number of cavities and from an infinite periodic grating. We show numerical results where the resonant behavior is evidenced as dips in the curve of intensity specularly reflected from a surface with one or several bottle-shaped grooves. The surface shape resonances of a single cavity are also shown to have a great influence on the efficiency distribution of the diffracted orders from infinite gratings made of bottle-shaped cavities. The excitation of even and odd modes is analyzed for both polarizations.
Highlights
The excitation of surface shape resonances and its relation with intensification phenomena such as backscattering enhancement have attracted many studies in recent years
The purpose of this paper is to study the resonant behavior of bottle-shaped cavities, and its influence in the scattering patterns produced by a surface with one, N, or infinite identical cavities
No independent calculation had been done for this particular profile to prove that these wavelengths correspond to surface shape resonances, i.e., to resonances associated with a local perturbation on an otherwise planar surface
Summary
The excitation of surface shape resonances and its relation with intensification phenomena such as backscattering enhancement have attracted many studies in recent years. The results show that for an s-polarized electromagnetic field, a strong intensification inside the cavity is found for certain wavelengths when its profile is described by a bivalued function of the coordinates, such as a slotted cylinder or a bottle-shaped groove8,9͔. This suggests that it might be possible to excite s-polarized surface waves in metallic structures with bivalued cavities, and this constitutes one of the motivations of the present paper
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