Method of numerical Green's function determination for far-field scattering solutions from objects at a...

Area of Science:

• Acoustics
• Computational Physics
• Geophysics

Background:

• Calculating far-field scattering from submerged objects is crucial for geophysical and acoustic applications.
• Traditional methods often rely on complex analytical Green's functions, which are challenging for intricate seafloor environments.

Purpose of the Study:

• To present a novel numerical method for determining Green's functions.
• To enable accurate calculation of far-field scattering from objects on or within the seafloor.

Main Methods:

• Numerically evaluating Green's functions and their spatial derivatives directly.
• Utilizing near-field solutions from finite element analysis (FEA) as input.
• Applying the Helmholtz-Kirchhoff integral for far-field scattering computation.

Main Results:

• Demonstrated effectiveness for elastic targets in free-field and flat seafloor scenarios.
• Successfully determined far-field scattering without needing difficult analytical Green's functions.
• The numerical Green's function approach integrated with FEA provides a robust scattering solution.

Conclusions:

• The presented numerical Green's function method offers a practical alternative to analytical approaches for complex scattering problems.
• This technique is potentially generalizable to targets at complex interfaces, including those with roughness and inhomogeneities.
• The method enhances the ability to model acoustic interactions in realistic seafloor environments.