电磁场的奇异模式
Singular Modes of the Electromagnetic Field
摘要：
我们表明，对应于电磁散射算子的本质谱点的模式是一个矢量值分布代表的三维狄拉克的δ函数的平方根。这种奇异模式的Weyl序列的显式表达式提供和分析。因此，基本共振导致电磁场的完美定位（限制），然而，这在实践中可能导致完全吸收。
英文摘要：
We show that the mode corresponding to the point of essential spectrum of the electromagnetic scattering operator is a vector-valued distribution representing the square root of the three-dimensional Dirac's delta function. An explicit expression for this singular mode in terms of the Weyl sequence is provided and analyzed. An essential resonance thus leads to a perfect localization (confinement) of the electromagnetic field, which in practice, however, may result in complete absorption.
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