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Identifying plasmonic modes in a circular paraboloidal geometry Kazuyoshi Kurihara@,Junichi Takahara@, Kazuhiro Yamamoto ,Akira Otomo 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. doi:10.1088/1751-8113/42/18/185401 |