Capturing of Electromagnetic Waves by Decorated Micro-Mechanical (Granular) Systems

Abstract

In this paper, we propose an approach to the protection against electromagnetic radiation based on the provisions of modern photonics, in which the role of the main element is played by decorated micro-mechanical (granular) materials.

The wave transport in a horizontal chain composed of isolated identical particles — granules under the condition that particles contact each other tightly, without breaks, and also experience oriented precompression, configured along the chain axis, which does not violate the topological order will be studied . The system thus looks like horizontally alternating segments filled with undeformed particles and areas of their mutual overlap (so-called layered-periodic structure).

It is shown that in such a systems with a decrease in the frequency of the corresponding defect, the corresponding components in the spectrum shift to the lower boundary of the band gap. This state does not correspond to the propagating models, and so in our model, which, however, corresponds to a real prototype (decorated granular chain), an electro-magnetic wave is “captured” by a defect, and “arrested” in some scales of its own vicinity.

Understanding the physical properties of granular systems is a necessary element of technologies for manipulating their properties and using them in many industries and sciences. A significant part of the research is aimed at studying the interaction of external fields (sound, electromagnetic) with a granular system. Therefore, theoretical modeling of the interaction of electromagnetic waves, even with a low-dimensional system of discrete centers, is a useful tool on the way to understanding general physical processes and their use in electromagnetic protection problems.

On this way, the problem of the propagation of an electromagnetic wave in a layered periodic structure (LPS), with different physical properties (dielectric permittivity) of the layers will be considered .