A Coupling between Integral Equations and On-Surface Radiation Conditions for Diffraction Problems by Non Convex Scatterers

Alzahrani, Saleh; Antoine, Xavier; Chniti, Chokri

doi:10.3390/math9182299

Cited by 2 publications

(1 citation statement)

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“…In recent years, inverse scattering has received substantial research attention and several models devoted to the scattering of time-harmonic acoustic waves by non-penetrable or penetrable inhomogeneous obstacles have been proposed. Multiple scattering problems were successfully applied in fields such as acoustics, medicine, electromagnetism and electrodynamics [1][2][3].…”

Section: Introductionmentioning

confidence: 99%

2D multiple waves scattering for active detection of a dummy human body in a low frequency range and for various boundary conditions

Bibcu,

Florescu Culea,

Moldovanu

et al. 2024

J. Phys.: Conf. Ser.

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This paper investigates the results of simulations devoted to the acoustic field variation caused by different boundary conditions applied to the backscattering of the acoustic wave in both low and moderately low frequency ranges. The goal is to analyse the object behaviour and the detection ability of the 2D acoustic field approximations when the simulation data of the scattered sound field is available. The plane waves are backscattered by a dummy human body, positioned in a cabin which has a defined size. The dummy human body is created by using clusters of finite and disjointed but tangent circular cylinders. Each cylinder is a scatterer that emulates various boundary conditions i.e., the scatterers can be sound-soft (Dirichlet boundary condition) and sound-hard scatterers (Neumann boundary condition). The cylinders are filled with biological tissue (i.e., fat). The exterior scattering problem is solved using the preconditioned Krylov subspace iterative solvers (GMRES), as a computationally cheaper alternative. We use the hypothesis that the mass density of the obstacle and wave speed in the obstacle are both constant. During the simulation experiments, we neglected the interactions among scatterers. A frequency range from 100 Hz to 1000 Hz is analysed. Both the Sound Pressure Level (SPL) and Radar Cross Section (RCS) are used to analyse the numerical simulation of the sound field.

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Section: Introductionmentioning

confidence: 99%