Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity

This paper is concerned with the mathematical analysis of the time-domain Maxwell equations in a three-dimensional open cavity. An exact transparent boundary condition is developed to reformulate the open cavity scattering problem in an unbounded domain, equivalently, into an initial-boundary value...

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Main Authors: Li, Peijun, Wang, Li-Lian, Wood, Aihua
其他作者: School of Physical and Mathematical Sciences
格式: Article
語言:English
出版: 2015
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在線閱讀:https://hdl.handle.net/10356/80967
http://hdl.handle.net/10220/39039
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總結:This paper is concerned with the mathematical analysis of the time-domain Maxwell equations in a three-dimensional open cavity. An exact transparent boundary condition is developed to reformulate the open cavity scattering problem in an unbounded domain, equivalently, into an initial-boundary value problem in a bounded domain. The well-posedness and stability are studied for the reduced problem. Moreover, an a priori estimate is established for the electric field with a minimum regularity requirement for the data.