开放波导中EM场的主动操纵
On the active manipulation of EM fields in open waveguides
摘要：
本文推广了\cite{Onofrei-S}的结果，研究了波导中TM波传播的主动控制问题。主要目标是在规定的准域区域中消除入射TM波的电场的纵向分量，同时在波导边界附近具有消失的小场。主要的分析挑战是为标量亥姆霍兹方程设计合适的源函数，以便获得所需的抵消效果。我们展示了一类解决方案的存在性问题，并提供数值支持的结果。讨论所提出的方法的可行性以及可能的设计策略。
英文摘要：
In this paper we present the extension of the results proposed in \cite{Onofrei-S} and study the problem of active control of TM waves propagating in a waveguide. The main goal is to cancel, in a prescribed near field region, the longitudinal component of the electric field of an incoming TM wave while having vanishingly small fields near the waveguide boundary. The main analytical challenge is to design appropriate source functions for the scalar Helmholtz equation so that the desired cancellation effect will be obtained. We show the existence of a class of solutions to the problem and provide numerical support of the results. Discussion on the feasibility of the proposed approach as well as possible design strategies are offered.
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