The perturbation of electromagnetic fields at distances that are large compared with the object's size

The perturbation of electromagnetic fields at distances that are large compared with the object's size
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DOI:
10.1093/imamat/hxu009
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发表时间:
2015-06
影响因子:
1.2
通讯作者:
P. Ledger;W. Lionheart
P. Ledger;W. Lionheart
中科院分区:
数学4区
文献类型:
--
作者:
P. Ledger;W. Lionheart

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我们严格推导了在距离远大于其尺寸的小物体存在的情况下散射电场和磁场的渐近展开式的主阶项。当散射体是具有恒定材料参数或完美导体的(有损)均匀介电物体时,我们的展开式适用于固定波数。当散射体是具有恒定材料参数或完美导体的无损耗均匀介电物体时,我们还推导了低频问题场展开中相应的主阶项。在每种情况下,我们都用偏振张量来表达我们的结果。
We rigorously derive the leading order terms in asymptotic expansions for the scattered electric and magnetic fields in the presence of a small object at distances that are large compared to its size. Our expansions hold for fixed wavenumber when the scatterer is a (lossy) homogeneous dielectric object with constant material parameters or a perfect conductor. We also derive the corresponding leading order terms in expansions for the fields for a low frequency problem when the scatterer is a non�lossy homogeneous dielectric object with constant material parameters or a perfect conductor. In each case we express our results in terms of polarisation tensors.