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On the Resonant Singularities Associated with the Green's Functions of Metallic Rectangular Cavities in the Context of the Method of Moments

机译:关于与金属矩形空腔的绿色函数相关的共振奇迹在矩的背景下

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When the Method of Moments (MOM) is applied to analyze problems involving metallic cavities, one can choose to use either the free space Green's functions [1] or the Green's functions of cavities [2]. Relatively speaking, the Green's functions of cavities are more computationally efficient, in that the number of discrete unknowns is minimized. However, if the Green's functions of cavities are directly applied, MOM would fail around the resonant frequencies associated with the cavity, since the Green's functions are singular at these resonant frequencies. Indeed, as long as the cavities are not fully enclosed by perfect metal, these singularities do not exist physically hence can be avoided numerically. In this paper, a technique is proposed to numerically remove the singularities through re-arrangement of discrete unknowns, so that MOM yields correct results for all frequencies. This technique is presented using rectangular cavity backed slot (CBS) antennas as examples, and validated by experimental data.
机译:当瞬间(MOM)的方法应用于分析涉及金属腔的问题时,可以选择使用自由空间绿色的功能[1]或绿色的空腔功能[2]。相对来说,绿色的腔函数更加计算效率,因为离散未知数的数量最小化。然而,如果直接施加绿色的空腔的功能,则妈妈将围绕与腔相关联的谐振频率失效,因为绿色的功能在这些谐振频率下是奇异的。实际上,只要空腔没有完全由完美的金属包围,这些奇点就不存在物理上,因此可以在数值上避免。在本文中,提出了一种通过离散未知的重新安排来数值去除奇点,使得MOM产生所有频率的正确结果。使用矩形腔背槽(CBS)天线作为示例,并通过实验数据验证来呈现该技术。

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