On the fluxes induced by interacting fields in multiple scattering

TL;DR

This paper analyzes the sound fluxes caused by interactions in multiple scattering of lossy media, establishing theorems linking interaction intensities with physical quantities and providing bounds and explicit results for different scatterer configurations.

Contribution

It introduces new theorems connecting interaction intensities with Lagrangian densities and scattering cross sections, advancing understanding of scattering interactions.

Findings

Interaction-induced intensities significantly contribute to overall flux.

Derived physical bounds on cross section ratios.

Provided explicit results for lossless and point-like scatterer clusters.

Abstract

Multiple scattering problems involving point-source excitation of lossy media are considered. The sound fluxes induced by the interactions between the scattered fields are analyzed. Theorems connecting interaction intensities (active and reactive) with the Lagrangian densities and the scattering cross sections are established. Physical bounds regarding cross sections ratios are derived, highlighting the contribution of the interaction-induced intensities to the overall intensity. Explicit results for lossless clusters are given. The case of a cluster composed by point-like scatterers is also analyzed.