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Related Experiment Videos

Short-wave scattering: problems and techniques.

P Bettess1

  • 1School of Engineering, University of Durham, Durham DH1 3LE, UK. peter.bettess@durham.ac.uk

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|August 13, 2004
PubMed
Summary

This review covers short-wave scattering problems, focusing on numerical methods for modeling waves with wavelengths much smaller than problem parameters. It introduces key techniques and recent advancements in wave modeling algorithms.

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Plane-wave basis finite elements and boundary elements for three-dimensional wave scattering.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciencesยท2004
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Area of Science:

  • Computational physics and applied mathematics
  • Wave propagation and scattering phenomena
  • Numerical analysis for electromagnetic and acoustic waves

Background:

  • Wave modeling is crucial in various scientific and engineering disciplines.
  • Short waves, defined by wavelengths significantly smaller than problem dimensions, present unique modeling challenges.
  • Understanding wave behavior is essential for applications ranging from optics to seismology.

Purpose of the Study:

  • To provide a comprehensive overview of numerical methods for short-wave scattering.
  • To introduce the fundamental concepts and challenges in modeling short waves.
  • To serve as an introductory guide to recent advancements in wave modeling algorithms.

Main Methods:

  • Finite Element Method (FEM) for wave propagation.

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  • Finite Difference Method (FDM) for discretizing wave equations.
  • Boundary Integral Equation (BIE) methods for scattering problems.
  • Overview of hybrid and domain decomposition techniques.

    • Main Results:

    • Summary of the strengths and limitations of major numerical methods for short-wave modeling.
    • Identification of key algorithmic developments in FEM, FDM, and BIE.
    • Highlighting the suitability of different methods based on problem characteristics.

    Conclusions:

    • Numerical methods like FEM, FDM, and BIE are essential tools for short-wave scattering.
    • Recent algorithmic improvements enhance the efficiency and accuracy of wave modeling.
    • This review sets the stage for deeper exploration of specialized wave modeling techniques.