2025_programme: The use of Born series in multiple scattering

• Day: June 16, Monday
    Location / Time: D. CHLOE at 11:20-11:40
• Last minutes changes: -
• Session: 17. Target Echo Strength – Measurements and Modelling
  Organiser(s): David Nunn 
  Chairperson(s): David Nunn 
• Lecture: The use of Born series in multiple scattering [Invited]
  Paper ID: 2355
  Author(s): Ahmad Abawi
  Presenter: Ahmad Abawi
  Abstract: Much of our understanding of scattering from targets originates from radar studies, which primarily focus on scattering in free space. However, in oceanic environments, acoustic scattering is significantly more complex due to the presence of boundaries, interfaces, and volumetric variations in the medium. Although the ocean can often be approximated by two half-spaces, this simplification alone is insufficient, and further approximations are frequently required to address practical scenarios. In this presentation, we provide a numerically exact solution for scattering from an elastic target near a pressure-release boundary, serving as a benchmark solution. We then present the widely used single-scatter approximation to reduce the complexity of the problem, examining its impact on the solution, its physical implications, and potential methods to regain lost accuracy. Subsequently, we employ successive corrections to the single-scatter approximation using a Born series expansion and demonstrate that convergence is achieved after only a few terms. In doing so, we derive a closed-form expression for the series, applicable for any number of terms. The results are validated through comparisons with experimental data and exact numerical solutions.
• Corresponding author: Dr Ahmad Abawi
  Affiliation: HLS Research
  Country: United States