Identifying plasmonic modes in a circular paraboloidal geometry by quasi-separation of variables
Identifying plasmonic modes in a circular paraboloidal geometry by quasi-separation of variables
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DOI：
10.1088/1751-8113/42/18/185401
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发表时间：
2009-05-08
影响因子：
2.1
通讯作者：
Otomo, Akira
中科院分区：
文献类型：
--
作者：
Kurihara, Kazuyoshi;Takahara, Junichi;Otomo, Akira
通过求解抛物面坐标系中磁场的波动方程，采用拟分离变量法和微扰法相结合，从理论上研究了圆抛物面几何中表面等离子体激元的解析解.结果表明，金属实心抛物面不存在解，但金属空心抛物面可以驻波形式得到解。本文给出了金属空心抛物面等离子体激元模的零阶和一阶近似解，并用电场线图形表示了零阶解。
Analytic solutions for surface plasmon polaritons in a circular paraboloidal geometry are theoretically studied by solving the wave equation for the magnetic field in paraboloidal coordinates, using the quasi-separation of variables in combination with perturbation methods. It is found that solutions do not exist for a metallic solid paraboloid, but they can be obtained for a metallic hollow paraboloid in the form of standing waves. This paper provides the zeroth- and first-order approximate solutions of plasmonic modes for a metallic hollow paraboloid and graphically represents the zeroth-order solution in electric field-line patterns.