含约瑟夫森结的超材料薄膜的非线性响应
Nonlinear response of a thin metamaterial film containing Josephson junctions
摘要：
研究了电磁场与含有约瑟夫森结开口环谐振器的超材料薄膜的相互作用。结果表明，动态自感在一个分裂环的结果减少通过一个环的磁通量，这种减少是成比例的分裂环磁化的时间导数。研究了考虑动态自感效应的薄膜磁化强度的演化。本文提出了一种新的约瑟夫森结开口环谐振腔一维阵列中波的激发机制。在弱振幅近似下，得到了这种薄膜的非线性磁化率。
英文摘要：
An interaction of electromagnetic field with metamaterial thin film containing split-ring resonators with Josephson junctions is considered. It is shown that dynamical self-inductance in a split rings results in reduction of magnetic flux through a ring and this reduction is proportional to a time derivative of split ring magnetization. Evolution of thin film magnetization taking into account dynamical self-inductance is studied. New mechanism for excitation of waves in one dimensional array of split-ring resonators with Josephson junctions is proposed. Nonlinear magnetic susceptibility of such thin films is obtained in the weak amplitude approximation.
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