时域等离子体共振器的模式近似：标量情形
Modal approximation for plasmonic resonators in the time domain: the scalar case
摘要：
研究了共振状态下具有色散材料参数的金属纳米粒子的电磁散射。我们考虑将粒子放置在低频区域的均匀介质中。我们定义的非厄米特问题的静电模式的扰动模式，并获得在频域中的散射场的模式近似。的扩展的极点对应的奇异边界积分算子的特征值，并示出位于下半复平面的原点附近的有界区域。最后，我们表明，这种模式表示给出了一个很好的近似的领域在时域中。我们提出了两个维度的数值模拟来证实我们的结果。
英文摘要：
We study the electromagnetic field scattered by a metallic nanoparticle with dispersive material parameters in a resonant regime. We consider the particle placed in a homogeneous medium in a low-frequency regime. We define modes for the non-Hermitian problem as perturbations of electrostatic modes, and obtain a modal approximation of the scattered field in the frequency domain. The poles of the expansion correspond to the eigenvalues of a singular boundary integral operator and are shown to lie in a bounded region near the origin of the lower-half complex plane. Finally, we show that this modal representation gives a very good approximation of the field in the time domain. We present numerical simulations in two dimensions to corroborate our results.
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