Asymptotic Methods for Partial Differential Equations: The Reduced Wave Equation and Maxwell’s Equations

  • Joseph B. Keller
  • Robert M. Lewis
Part of the Surveys in Applied Mathematics book series (SUAM)


The short wavelength or high frequency asymptotic theory of the reduced wave equation and of Maxwell’s equations is presented. The theory is applied to representative problems involving reflection, transmission, and diffraction in both homogeneous and inhomogeneous media. It is a slightly revised version of a report1 written in 1964 by the authors. Despite its age, it still provides a convenient introduction to the formal asymptotic theory and to the geometrical theory of diffraction.


Asymptotic Expansion Asymptotic Solution Line Source Asymptotic Method Geometrical Optic 
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.


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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Joseph B. Keller
    • 1
  • Robert M. Lewis
    • 2
  1. 1.Departments of Mathematics and Mechanical EngineeringStanford UniversityStanfordUSA
  2. 2.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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