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This study extends the acoustical generalized Lorenz-Mie theory (GLMT) framework to analyze off-axis Gaussian acoustical beams. It details the evaluation of beam shape coefficients (BSCs) for improved acoustical wave scattering analysis.

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Area of Science:

  • Acoustics
  • Wave Scattering
  • Electromagnetic Theory

Background:

  • The generalized Lorenz-Mie theory (GLMT) models electromagnetic wave scattering.
  • An acoustical GLMT-like framework has been developed for acoustical wave scattering.
  • Previous work evaluated acoustical beam shape coefficients (BSCs) for on-axis beams.

Purpose of the Study:

  • To extend the acoustical GLMT framework to handle off-axis Gaussian acoustical beams.
  • To develop methods for evaluating acoustical BSCs for off-axis beams.
  • To enhance the analysis of acoustical wave scattering phenomena.

Main Methods:

  • Utilizing the generalized Lorenz-Mie theory (GLMT) model.
  • Employing the extended boundary condition method.
  • Developing localized approximations for evaluating acoustical BSCs.

Main Results:

  • A method for evaluating acoustical BSCs for off-axis Gaussian acoustical beams is presented.
  • The framework allows for encoding incident acoustical waves in BSCs.
  • This extends previous work on on-axis beam analysis.

Conclusions:

  • The developed framework effectively addresses acoustical wave scattering from off-axis Gaussian beams.
  • This research provides a foundation for more complex acoustical scattering problems.
  • The evaluation of acoustical BSCs is crucial for accurate wave scattering analysis.