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Related Experiment Videos

Optimum and standard beam widths for numerical modeling of interface scattering problems

Stephen1

  • 1Woods Hole Oceanographic Institution, Massachusetts 02543, USA. rstephen@whoi.edu

The Journal of the Acoustical Society of America
|March 30, 2000
PubMed
Summary

Gaussian beams offer advantages for surface scattering problems in electromagnetics and acoustics. A proposed standard parameterization minimizes insonified areas and simplifies scattering analysis.

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Selected abstracts

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Area of Science:

  • Physics
  • Wave Phenomena
  • Applied Mathematics

Background:

  • Gaussian beams are utilized for surface and interface scattering problems in fields like electromagnetics, acoustics, and seismology.
  • Key advantages include finite scattering regions, restricted grazing angles, absence of side lobes, and convenient mathematical forms.
  • Disadvantages involve non-uniform insonification and beam spreading, complicating analysis.

Purpose of the Study:

  • To propose a standard beam parameterization for Gaussian beams.
  • To enable uniform comparison of scattering effects across different models by standardizing propagation effects.
  • To determine optimal Gaussian beam parameters for minimizing insonified areas in continuous wave and pulse beam problems.

Main Methods:

  • Development of a standard beam parameterization for Gaussian beams.

Related Experiment Videos

  • Analysis of continuous wave (CW) problems to find optimal beams for minimal insonified area at a given incidence angle and amplitude threshold.
  • Application of standard parameters to estimate domain size for numerical solutions of pulse beam scattering.

    • Main Results:

    • A standard parameterization is proposed to make propagation effects uniform across models.
    • For CW problems, an optimal Gaussian beam minimizes the insonified area for specific incidence conditions.
    • Standard parameters aid in estimating the minimum truncated domain for accurate numerical pulse beam solutions.

    Conclusions:

    • The proposed standard parameterization facilitates direct comparison of scattering phenomena by normalizing propagation effects.
    • Optimal Gaussian beam selection is crucial for efficient and accurate scattering analysis, particularly in minimizing the insonified region.
    • These parameters are valuable for both theoretical analysis and numerical simulations in wave scattering problems.