The Boundary Value Problems
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 155)
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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.
KeywordsIntegral Equation Boundary Surface Maxwell Equation Radiation Condition Radiation Pattern
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© Springer-Verlag Berlin Heidelberg 1969