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Optimization of resonant effects in nanostructures via Weierstrass factorization

V. Grigoriev, A. Tahri, S. Varault, B. Rolly, B. Stout, J. Wenger, and N. Bonod
Phys. Rev. A 88, 011803(R) – Published 10 July 2013
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Abstract

Extensive numerical computations are often required to optimize the optical properties of nanostructures. Here, we use the Weierstrass factorization theorem to express the scattering matrix in terms of spectral singularities. We show that the location of poles and zeros of the scattering matrix fully determines all scattering properties, and that the scattering spectra of nanostructures can be decomposed into Lorentzian resonances over an arbitrary range of frequencies. This technique is applied to design nanoshell particles with enhanced absorption.

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  • Received 3 May 2013

DOI:https://doi.org/10.1103/PhysRevA.88.011803

©2013 American Physical Society

Authors & Affiliations

V. Grigoriev*, A. Tahri, S. Varault, B. Rolly, B. Stout, J. Wenger, and N. Bonod

  • Institut Fresnel (CNRS), Aix–Marseille Université, Campus St. Jérôme, Marseille 13013, France

  • *victor.grigoriev@fresnel.fr

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Issue

Vol. 88, Iss. 1 — July 2013

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