Perturbation of the scattering resonances of an open cavity by small particles. Part I: the transverse magnetic polarization case
Perturbation of the scattering resonances of an open cavity by small particles. Part I: the transverse magnetic polarization case
复制标题
小颗粒对开放腔的散射共振的扰动。
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Pierre Millien
中科院分区：
文献类型：
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作者：
H. Ammari;A. Dabrowski;B. Fitzpatrick;Pierre Millien
本文旨在为受小粒子扰动的开放腔的散射共振问题提供一个小体积展开框架。在不忽略辐射效应的情况下，导出了小颗粒引起的散射共振的位移。该公式适用于任意形状的粒子。在具有偶极共振的亚波长粒子的情况下，它显示出散射共振位移的强烈增强。该公式被用来成像位于开放谐振器边界附近的小粒子，该开放谐振器允许耳语画廊模式。文中给出了一些有应用价值的数值例子。
This paper aims at providing a small-volume expansion framework for the scattering resonances of an open cavity perturbed by small particles. The shift of the scattering resonances induced by the small particles is derived without neglecting the radiation effect. The formula holds for arbitrary-shaped particles. It shows a strong enhancement in the scattering resonance shift in the case of subwavelength particles with dipole resonances. The formula is used to image small particles located near the boundary of an open resonator which admits whispering-gallery modes. Numerical examples of interest for applications are presented.