Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators
Simulation of Localized Surface Plasmon Resonances in Two Dimensions via Impedance-Impedance Operators
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DOI：
10.1137/20m133066x
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发表时间：
2021-01
期刊：
影响因子：
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通讯作者：
D. Nicholls;Xin Tong
中科院分区：
文献类型：
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作者：
D. Nicholls;Xin Tong
工程师能够对有界障碍物对电磁辐射的散射进行数值模拟至关重要。此外，许多令人感兴趣的应用都需要这些模拟的稳健性和高精度。应用于界面配方的高阶光谱算法可以快速提供具有适度自由度的高保真度近似值。表面方法的高阶扰动类已被证明特别适合这些模拟，在本文中，我们考虑了实际实现和严格分析的问题。对于前者，我们概括了我们最近的结果，以利用统一明确定义的阻抗-阻抗算子，而不是偶尔遇到非物理奇点的狄利克雷-诺依曼算子。对于后者，我们利用这个新的公式来确定非共振配置中解的存在性、唯一性和可分析性。我们还包括基于新公式实施的数值模拟结果，这证明了其显着的准确性和鲁棒性。
It is critically important that engineers be able to numerically simulate the scattering of electromagnetic radiation by bounded obstacles. Additionally, that these simulations be robust and highly accurate is necessitated by many applications of great interest. High-order spectral algorithms applied to interfacial formulations can rapidly deliver high fidelity approximations with a modest number of degrees of freedom. The class of high-order perturbation of surfaces methods has proven to be particularly appropriate for these simulations, and in this contribution we consider questions of both practical implementation and rigorous analysis. For the former we generalize our recent results to utilize the uniformly well-defined impedance-impedance operators rather than the Dirichlet–Neumann operators which occasionally encounter unphysical singularities. For the latter we utilize this new formulation to establish the existence, uniqueness, and analyticity of solutions in nonresonant configurations. We also include results of numerical simulations based on an implementation of our new formulation which demonstrates its noteworthy accuracy and robustness.