斜入射下介电粒子阵列中的多极耦合和共振位移

IF 1.8 4区 物理与天体物理 Q3 OPTICS Journal of The Optical Society of America B-optical Physics Pub Date : 2023-10-03 DOI:10.1364/josab.501061
Xiaosheng Zhu, Yu Xin, Chunxu Zhang, Yingjun He
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引用次数: 0

摘要

在本文中,我们提出了一个耦合多极模型来处理排列成周期性阵列的纳米粒子之间的相互作用,这在设计超表面和其他功能电磁结构时可能经常遇到。我们的模型是全面的,因为它考虑到电和磁的多极都到四极顺序。该模型在直角坐标系下工作,可以很容易地给出在正入射和斜入射下无限阵列中粒子的多极响应。特别地,我们得到了交叉多极耦合张量的解析表达式,斜入射比正入射要复杂得多。我们使用Ewald方法来高效准确地计算所涉及的晶格和,否则其收敛速度很慢。通过量化各种耦合的贡献,我们能够分析仅在斜入射下出现的新共振的机制。作为一个典型的例子,我们用这种方法给出了物理上清晰的解释,并展示了对硅球阵列的多极共振位移的灵活控制。该模型的强大功能使其在处理具有扩展区域的超表面或在大数值孔径下工作时非常有希望。
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Multipole couplings and resonance shifts in array of dielectric particles at oblique incidence
In the present paper, we propose a coupled multipole model to treat the mutual interactions between nanoparticles aligned in a periodic array, which may be frequently encountered in designing metasurfaces and other functional electromagnetic structures. Our model is comprehensive in that it takes into account the electric and magnetic multipoles both up to the quadrupole order. Working under Cartesian coordinates, this model can readily give the multipole responses of the particles in an infinite array at both normal and oblique incidence. In particular, we work out the analytical expressions of the cross-multipole coupling tensors, which are much more complicated for oblique incidence than normal incidence. We invoke the Ewald method to efficiently and accurately calculate the involved lattice sum whose convergence is otherwise very slow. By quantifying the contributions from the various couplings, we are able to analyze the mechanisms of new resonances that emerge only at oblique incidence. As a prototypical example, we use this method to give physically clear explanations of and show flexible control on the resonance shifts of the multipoles of an array of silicon spheres. The power of this model makes it very promising for dealing with metasurfaces with extended areas or working at large numerical apertures.
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来源期刊
CiteScore
4.00
自引率
5.30%
发文量
374
审稿时长
2.1 months
期刊介绍: The Journal of the Optical Society of America B (JOSA B) is a general optics research journal that complements JOSA A. It emphasizes scientific research on the fundamentals of the interaction of light with matter such as quantum optics, nonlinear optics, and laser physics. Topics include: Advanced Instrumentation and Measurements Fiber Optics and Fiber Lasers Lasers and Other Light Sources from THz to XUV Light-Induced Phenomena Nonlinear and High Field Optics Optical Materials Optics Modes and Structured Light Optomechanics Metamaterials Nanomaterials Photonics and Semiconductor Optics Physical Optics Plasmonics Quantum Optics and Entanglement Quantum Key Distribution Spectroscopy and Atomic or Molecular Optics Superresolution and Advanced Imaging Surface Optics Ultrafast Optical Phenomena Wave Guiding and Optical Confinement JOSA B considers original research articles, feature issue contributions, invited reviews and tutorials, and comments on published articles.
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