Excitation of a layered medium by 𝑁 sources: Scattering relations, interaction cross sections and physical bounds

Kalogeropoulos, Andreas; Tsitsas, Nikolaos

doi:10.1090/qam/1581

Excitation of a layered medium by $N$ sources: Scattering relations, interaction cross sections and physical bounds

Authors: Andreas Kalogeropoulos and Nikolaos L. Tsitsas
Journal: Quart. Appl. Math. 79 (2021), 335-356
MSC (2020): Primary 74J20, 35P25, 78A48
DOI: https://doi.org/10.1090/qam/1581
Published electronically: October 13, 2020
MathSciNet review: 4246495
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Abstract: A layered medium is excited by $N$ external or internal point sources. Boundary-value problems for the generated acoustic waves are formulated. General scattering and optical theorems are established relating the involved fields and far-field patterns due to groups of sources. Interaction scattering cross sections are defined and associated physical bounds are derived. The large-$N$ behavior of these cross sections is also investigated. Numerical results are presented demonstrating the variations of the interaction cross sections and their physical bounds.

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