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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 11 — Jun. 1, 2013
  • pp: 1857–1859

Duality symmetry and Kerker conditions

X. Zambrana-Puyalto, I. Fernandez-Corbaton, M. L. Juan, X. Vidal, and G. Molina-Terriza  »View Author Affiliations

Optics Letters, Vol. 38, Issue 11, pp. 1857-1859 (2013)

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We unveil the relationship between two anomalous scattering processes known as Kerker conditions and the duality symmetry of Maxwell equations. We generalize these conditions and show that they can be applied to any particle with cylindrical symmetry, not only to spherical particles as the original Kerker conditions were derived for. We also explain the role of the optical helicity in these scattering processes. Our results find applications in the field of metamaterials, where new materials with directional scattering are being explored.

© 2013 Optical Society of America

OCIS Codes
(290.1350) Scattering : Backscattering
(290.4020) Scattering : Mie theory
(290.2558) Scattering : Forward scattering
(290.5825) Scattering : Scattering theory

ToC Category:

Original Manuscript: March 7, 2013
Revised Manuscript: April 8, 2013
Manuscript Accepted: April 20, 2013
Published: May 22, 2013

X. Zambrana-Puyalto, I. Fernandez-Corbaton, M. L. Juan, X. Vidal, and G. Molina-Terriza, "Duality symmetry and Kerker conditions," Opt. Lett. 38, 1857-1859 (2013)

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  1. P. W. Merlin, Am. Inst. Aeronaut. Astronaut. Pap. 2009, 1522 (2009).
  2. M. Kerker, D.-S. Wang, and C. L. Giles, J. Opt. Soc. Am. 73, 765 (1983). [CrossRef]
  3. B. García-Cámara, F. González, F. Moreno, and J. M. Saiz, J. Opt. Soc. Am. A 25, 2875 (2008). [CrossRef]
  4. A. García-Etxarri, R. Gómez-Medina, L. S. Froufe-Pérez, C. López, L. Chantada, F. Scheffold, J. Aizpurua, M. Nieto-Vesperinas, and J. J. Sáenz, Opt. Express 19, 4815 (2011). [CrossRef]
  5. A. Kuznetsov, A. Miroshnichenko, Y. H. Fu, J. Zhang, and B. Luk’yanchuk, Science Reports 2, 492 (2012).
  6. J. Geffrin, B. García-Cámara, R. Gómez-Medina, P. Albella, L. Froufe-Pérez, C. Eyraud, A. Litman, R. Vaillon, F. González, M. Nieto-Vesperinas, J. J. Sáenz, and F. Moreno, Nat. Commun. 3, 1171 (2012). [CrossRef]
  7. S. Person, M. Jain, Z. Lapin, J. J. Sáenz, G. Wicks, and L. Novotny, Nano Lett.13, 1806 (2013).
  8. Y. H. Fu, A. I. Kuznetsov, A. E. Miroshnichenko, Y. F. Yu, and B. Luk’yanchuk, Nat. Commun. 4, 1527 (2013). [CrossRef]
  9. I. Fernandez-Corbaton, X. Zambrana-Puyalto, and G. Molina-Terriza, Phys. Rev. A 86, 042103 (2012). [CrossRef]
  10. I. Fernandez-Corbaton, X. Zambrana-Puyalto, N. Tischler, A. Minovich, X. Vidal, M. L. Juan, and G. Molina-Terriza, arXiv:1206.0868 (2012).
  11. X. Zambrana-Puyalto, X. Vidal, and G. Molina-Terriza, Opt. Express 20, 24536 (2012). [CrossRef]
  12. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  13. M. Nieto-Vesperinas, R. Gomez-Medina, and J. J. Saenz, J. Opt. Soc. Am. A 28, 54 (2011). [CrossRef]
  14. A. Alu and N. Engheta, J. Nanophoton. 4, 041590 (2010). [CrossRef]

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