严格凸等离子体谐振器的时域模式近似：麦克斯韦方程组
Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations
摘要：
我们研究了由严格凸的金属纳米粒子散射的电磁场的可能的扩展，该金属纳米粒子具有分散的材料参数，放置在均匀介质中，在低频区域中作为在复频率振荡的模式的总和（在无穷远发散），在物理学文献中称为准正常模式扩展。我们表明，这样的扩展是有效的，在静态制度，我们可以近似的电场与有限数量的模式。然后，我们使用微扰谱理论显示存在，在一定的制度，等离子体共振的极点的麦克斯韦方程组的非零频率的预解式。我们表明，在时域中，电场可以被写为在复频率振荡的模式的总和。我们引入在无穷远处不指数发散的重正化量。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
