Achieving zero backward scattering (ZBS) and zero forward scattering (ZFS), i.e., the so-called the first and second Kerker's conditions respectively, by sphere spherical particles is considered to be impossible due to the unavailability of naturally occurring magnetic materials in the visible frequency range. We report theoretical modeling to design composite metamaterials that present large optical magnetic permeability in the visible frequency range by employing Mie scattering theory and extended Maxwell Garnett theory. We numerically show that a careful selection of constituents of a composite metamaterial one can obtain metamaterials with sufficiently large artificial permeability that eventually provides the Kerker's criterion to achieve the Kereker's conditions. By taking realistic material parameters we demonstrate that the metamaterials exhibiting ZBS and ZFS have a small imaginary part of the refractive index than metallic structures that pave a path to design high-performance nanophotonic devices.

中文翻译：

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使用复合超材料重新审视广义 Kerker 条件

由于在可见光中天然存在的磁性材料不可用，球状粒子实现零后向散射 (ZBS) 和零前向散射 (ZFS)，即分别所谓的第一和第二 Kerker 条件被认为是不可能的频率范围。我们报告了理论建模，以通过采用米氏散射理论和扩展的麦克斯韦加内特理论来设计在可见频率范围内呈现大光学磁导率的复合超材料。我们在数值上表明，仔细选择复合超材料的成分可以获得具有足够大的人工渗透率的超材料，最终提供 Kerker 标准来实现 Kereker 条件。