论文标题
在时间域中严格凸出等离激元谐振器的模态近似：麦克斯韦方程
Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations
论文作者
论文摘要
我们研究了通过严格凸出的金属纳米粒子散射的电磁场的可能扩展，其分散材料参数位于低频方案中的同质培养基中，作为复杂频率下振荡的模式的总和（在无限限度下在无限的频率下），在物理学文献中已知，是quasi-norm-norm norm-norm-norm norm speptions的扩展。我们表明，这种扩展在静态状态下是有效的，我们可以使用有限数量的模式近似电场。然后，我们使用扰动光谱理论来显示等离子共振的某个状态的存在，作为麦克斯韦方程非零频率的分解的极点。我们表明，在时域中，电场可以写成以复杂频率振荡的模式的总和。我们介绍了未在无穷大的未定数分歧的重量化量。
We study the possible expansion of the electromagnetic field scattered by a strictly convex metallic nanoparticle with dispersive material parameters placed in a homogeneous medium in a low-frequency regime as a sum of modes oscillating at complex frequencies (diverging at infinity), known in the physics literature as the quasi-normal modes expansion. We show that such an expansion is valid in the static regime and that we can approximate the electric field with a finite number of modes. We then use perturbative spectral theory to show the existence, in a certain regime, of plasmonic resonances as poles of the resolvent for Maxwell's equations with non-zero frequency. We show that, in the time domain, the electric field can be written as a sum of modes oscillating at complex frequencies. We introduce renormalised quantities that do not diverge exponentially at infinity.
