Showing papers on "Green's theorem published in 2021"
TL;DR: A physics-consistent analytical characterization of the free-space path-loss of a wireless link in the presence of a reconfigurable intelligent surface based on the vector generalization of Green’s theorem is introduced.
Abstract: In this paper, we introduce a physics-consistent analytical characterization of the free-space path-loss of a wireless link in the presence of a reconfigurable intelligent surface. The proposed approach is based on the vector generalization of Green’s theorem. The obtained path-loss model can be applied to two-dimensional homogenized metasurfaces, which are made of sub-wavelength scattering elements and that operate either in reflection or transmission mode. The path-loss is formulated in terms of a computable integral that depends on the transmission distances, the polarization of the radio waves, the size of the surface, and the desired surface transformations. Closed-form expressions are obtained in two asymptotic regimes that are representative of far-field and near-field deployments. Based on the proposed approach, the impact of several design parameters and operating regimes is unveiled.
128 citations
TL;DR: In this paper, a module theoretic analogue of Green's theorem, describing the compatibility of the module and comodule structures, is presented, in the degenerate settings of finitary Hall modules and constructible Hall modules.
4 citations