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Exact Derivation of the Radiation Law of Antennas Embedded into Generic Nonlocal Metamaterials: A Momentum-Space Approach

机译:嵌入通用非局部超材料中的天线辐射定律的精确推导:动量-空间方法

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We solve the problem of how antennas radiate into generic nonlocal metamaterials by using a momentum-space formalism to rigorously derive the general radiation formula. The energy per Hertz by unit solid angle is computed by first deriving the dyadic Green’s function of nonlocal media in the momentum space. We show that due to causality only the antihermitian part of the dyad will contribute to the radiation field. We avoid any spectral integration or using the Poynting vector (the latter known to be already inadequate in nonlocal media) by working directly with momentum space formulation and derive analytically the exact expression. The final result depends only on the modal analysis of the metamaterial.
机译:通过使用动量空间形式主义严格推导一般的辐射公式,我们解决了天线如何辐射到一般的非局部超材料中的问题。首先通过推导动量空间中非局部介质的二进格林函数来计算单位立体角的每赫兹能量。我们表明,由于因果关系,只有二元组的反埃尔米特部分将有助于辐射场。通过直接与动量空间公式化并通过解析得出精确的表达式,我们避免了任何谱积分或使用Poynting向量(后者在非局部介质中已经不充分)。最终结果仅取决于超材料的模态分析。

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