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The Boundary Value Problems

  • Claus Müller
Chapter
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 155)

Abstract

Now we ask if we can determine a solution of the Maxwell equations in such a way that their boundary values assume specified values on a closed regular surface. It has already been shown that a field E, H which satisfies the equations
exterior to a regular region, the radiation condition, and
on the boundary surface F, vanishes identically. This result means that a solution of our equations which in addition satisfies the radiation conditions is uniquely determined by the value n × E on the boundary surface. Now the question arises as to whether we can prescribe these boundary values.

Keywords

Integral Equation Boundary Surface Maxwell Equation Radiation Condition Radiation Pattern 
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-Verlag Berlin Heidelberg 1969

Authors and Affiliations

  • Claus Müller
    • 1
  1. 1.Technische Hochschule AachenGermany

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