Sub-wavelength sensing of bi-periodic materials using topological sensitivity of second-order homogenized model - Archive ouverte HAL Access content directly
Journal Articles Journal of Physics: Conference Series Year : 2018

Sub-wavelength sensing of bi-periodic materials using topological sensitivity of second-order homogenized model

Abstract

We aim to detect defects or perturbations of periodic media, e.g. due to a defective manufacturing process. To this end, we consider scalar waves in such media through the lens of a second-order macroscopic description, and we compute the sensitivities of the germane effective parameters due to topological perturbations of a microscopic unit cell. Specifically, our analysis focuses on the tensorial coefficients in the governing mean-field equation – including both the leading order (i.e. quasi-static) terms, and their second-order companions bearing the effects of incipient wave dispersion. Then, we present a method that permits sub-wavelength sensing of periodic media, given the (anisotropic) phase velocity of plane waves illuminating the considered medium for several angles and wavenumbers.
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Origin : Publication funded by an institution

Dates and versions

hal-01972083 , version 1 (17-07-2019)

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Marc Bonnet, Rémi Cornaggia, Bojan B Guzina. Sub-wavelength sensing of bi-periodic materials using topological sensitivity of second-order homogenized model. Journal of Physics: Conference Series, 2018, 1131, pp.012008. ⟨10.1088/1742-6596/1131/1/012008⟩. ⟨hal-01972083⟩
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