Abstract

Surface plasmons resonances occur when a metallic nano-particle is excited by an external electric field. Within the quasi-static limit, Ouyang and Isaacson [1] have shown that the plasmon modes are the solutions of an eigenvalue problem. This boundary element method (BEM) [2] has been extensively used to compute nano-particle plasmon resonances [3,4]. Depending on the geometry of the particle, the solutions of this eigenproblem can form a bi-orthogonal basis in which left and right eigenvectors are different. Apart from bringing additional mathematical difficulties, this particularity of the plasmonic eigenproblem has always been considered as a mere computation detail [6].

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