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Wave reflection and quasiresonance

Part I: Theory of Singular Perturbations

Part of the Lecture Notes in Mathematics book series (LNM,volume 942)

Abstract

Wave reflection by smooth media and resonance of systems with radiation damping are instructive examples of a failure of the standard approach to asymptotics. They are also good examples of a type of exponential asymptotics needed for the sciences. Successful modifications of conventional, singular-perturbation theory have been found for them and show some of the principles promising wider usefulness. They have led to recent developments in WKB-connection theory, which are also reported briefly.

Keywords

  • Singular Point
  • Reflection Coefficient
  • Wave Reflection
  • Stokes Line
  • Adiabatic Invariance

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This work was sponsored by the United States Army under Contract No. DAAG29-80-C-0041 and supported partially by the National Science Foundation under Grant MCS-8001960.

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© 1982 Springer-Verlag

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Meyer, R.E. (1982). Wave reflection and quasiresonance. In: Eckhaus, W., de Jager, E.M. (eds) Theory and Applications of Singular Perturbations. Lecture Notes in Mathematics, vol 942. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094742

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  • DOI: https://doi.org/10.1007/BFb0094742

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