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Over the past decades growing attention has been paid to the effect of propagation of waves in different types of randomly inhomogeneous media. This increasing interest is due, among other factors, to the novel methods that are being proposed for imaging small objects in cluttered environments and the need for good solvers which can correctly model fluctuations effects in these media. This is a major challenge in many research areas such as medical imaging, remote sensing, nondestructive testing and wireless communications, etc. In these applications, distinctly different mathematical models are used for imaging in continuous and discrete random media. The discrete random media are used to describe multiple scattering in continuous random media but it is unlikely that discrete inclusions are always adequate to represent inhomogeneities that have no clear boundaries between their different components. Imaging becomes very difficult to perform in discrete random media when resonance with multiple scattering exists. Resonance causes image distortion arising from the underlying interactions of multiply scattered waves at resonance frequencies. This article presents a numerical study of wave propagation in the existence of resonance with multiple scattering using the Foldy-Lax-Lippmann-Schwinger formalism, which was employed for the multiply scattered waves. We use a two-body simulation to demonstrate the imaging problem caused by resonance with multiple scattering and to understand why it can hardly be simulated with the original Foldy-Lax model. We demonstrate the result of removing the sharp responses in the resonance regime to recover the damaged images.
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