论文标题

MIE谐振介电颗粒的非局部响应

Nonlocal response of Mie-resonant dielectric particles

论文作者

Bobylev, Daniel A., Smirnova, Daria A., Gorlach, Maxim A.

论文摘要

MIE谐振的高索引介电颗粒是现代全dilectric光子学的核心。在许多情况下,它们对外部磁场的响应受到偶极模型的捕捉,该模型忽略了高阶多尔尔的激发。在这种情况下,通常假定外部磁场诱导的偶极矩由粒子极化量张量和粒子中心中的磁场的乘积给出。在这里,我们证明非球形亚波长介电颗粒的偶极响应明显更为复杂,因为偶极矩不仅由粒子中心的磁场定义,而且由磁场的二阶空间衍生物定义。正如我们证明的那样,在散射横截面的Anapole最小值的附近,这种非局部反应特别明显。我们检查了在微波域和硅纳米风险中的高位介电磁盘的激发,近红外采用了组理论分析,并将非局部校正检索到偶极矩上。将离散的偶极模型扩展到包括偶极子响应的非局部性,我们证明了与全波数值模拟的一致性。这些结果为基于它们的MIE谐音非球形颗粒以及超材料和超材料的元观念提供了重要的见解。

Mie-resonant high-index dielectric particles are at the core of modern all-dielectric photonics. In many situations, their response to the external fields is well-captured by the dipole model which neglects the excitation of higher-order multipoles. In that case, it is commonly assumed that the dipole moments induced by the external fields are given by the product of particle polarizability tensor and the field in the particle center. Here, we demonstrate that the dipole response of non-spherical subwavelength dielectric particles is significantly more complex since the dipole moments are defined not only by the field in the particle center but also by the second-order spatial derivatives of the field. As we prove, such nonlocal response is especially pronounced in the vicinity of anapole minimum in the scattering cross-section. We examine the excitation of high-index dielectric disk in microwave domain and silicon nanodisk in near infrared applying group-theoretical analysis and retrieving the nonlocal corrections to the dipole moments. Extending the discrete dipole model to include nonlocality of the dipole response, we demonstrate an improved agreement with full-wave numerical simulations. These results provide important insights into meta-optics of Mie-resonant non-spherical particles as well as metamaterials and metadevices based on them.

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