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arXiv 1703.01276physics.opticscond-mat.mes-hall
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二维球阵列中的表面晶格共振:多极相互作用和模式分析

Surface - lattice resonances in 2d arrays of spheres: multipolar interactions and a mode analysis

Sylvia D. Swiecicki, J. E. Sipe

摘要:

我们提出了一个多极模型的表面晶格共振(SLR)在二维阵列的球体,包括电偶极子,磁偶极子,和电四极矩的球体。我们确定的SLR的偶极和多极字符,显示在其描述的非共振多极的重要性,并讨论了SLR照明条件的敏感性。我们链接SLR的阵列所支持的模式的激励,我们提出了一个简化的模型的模式色散关系,解释的灵敏度的SLR和带隙的模式色散发现在低频率。最后,我们讨论了与直接耦合到一个模式,它可以发生在除了由SLR信号的衍射耦合相关的谐振功能。

英文摘要:

We present a multipolar model of surface - lattice resonances (SLRs) in 2d arrays of spheres including the electric dipole, magnetic dipole, and electric quadrupole moments of the spheres. We identify SLRs of dipolar and multipolar character, show the importance of non-resonant multipoles in their description, and discuss the sensitivity of SLRs to illumination conditions. We link SLRs to an excitation of modes supported by the array, and we propose a simplified model of the mode dispersion relations that explains the sensitivity of SLRs and the band gap in mode dispersion found at low frequencies. Finally we discuss the resonant features associated with a direct coupling to a mode which can occur in addition to the diffractive coupling signalled by SLRs.

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