Influence of spatial dispersion in metals on the optical response of deeply subwavelength slit arrays
Mathieu Dechaux, Paul-Henri Tichit, Cristian Cirac\`i and, Jessica Benedicto, R\'emi Poll\`es, Emmanuel Centeno, David R. Smith, and Antoine Moreau

TL;DR
This paper investigates how spatial dispersion in metals affects the optical response of deeply subwavelength slit arrays, revealing that nonlocal effects significantly influence the propagative mode and structure behavior.
Contribution
It introduces a generalized cavity model with two modes to accurately describe the influence of spatial dispersion in metallic slit arrays, surpassing simple Fabry-Perot models.
Findings
Spatial dispersion impacts the propagative mode significantly.
The generalized cavity model explains the structure's sensitivity to nonlocal effects.
Fabrication of larger-gap slit arrays enables future experimental validation.
Abstract
In the framework of the hydrodynamic model describing the response of electrons in a metal, we show that arrays of very narrow and shallow metallic slits have an optical response that is influenced by the spatial dispersion in metals arising from the repulsive interaction between electrons. As a simple Fabry-Perot model is not accurate enough to describe the structure's behavior, we propose to consider the slits as generalized cavities with two modes, one being propagative and the other evanescent. This very general model allows to conclude that the impact of spatial dispersion on the propagative mode is the key factor explaining why the whole structure is sensitive to spatial dispersion. As the fabrication of such structures with relatively large gaps compared to previous experiments is within our reach, this work paves the way for future much needed experiments on nonlocality.
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