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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: A89–A97

Higher-order resonant power flow inside and around superdirective plasmonic nanoparticles

Andrea Alù and Nader Engheta  »View Author Affiliations

JOSA B, Vol. 24, Issue 10, pp. A89-A97 (2007)

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The optical power flow around a plasmonic particle has been a topic of research interest over the years [see e.g., Am. J. Phys. 51, 323 (1983) ; Opt. Express 13, 8372 (2005) ]. Here we revisit this problem with an emphasis on higher-order resonances, and we present the theoretical results of our analysis for such power-flow distribution for plasmonic nanoparticles at their multipolar resonances. Results for the second and third orders of resonance show optical power-flow patterns that are significantly different from that of the first-order resonance inside and around plasmonic superdirective nanoparticles, with multicenter vortices, saddle points, and saddle lines and with an anomalous circulation of power resembling higher-order modes in a resonant cavity. A potential application of these optical flow patterns to trap or move a neighboring nanoparticle is also briefly suggested.

© 2007 Optical Society of America

OCIS Codes
(160.3900) Materials : Metals
(240.6680) Optics at surfaces : Surface plasmons
(290.4020) Scattering : Mie theory

Original Manuscript: March 19, 2007
Manuscript Accepted: May 15, 2007
Published: August 16, 2007

Virtual Issues
Vol. 2, Iss. 11 Virtual Journal for Biomedical Optics
Photonic Metamaterials (2007) JOSA A

Andrea Alù and Nader Engheta, "Higher-order resonant power flow inside and around superdirective plasmonic nanoparticles," J. Opt. Soc. Am. B 24, A89-A97 (2007)

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  1. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  2. M. Kerker, "Founding fathers of light scattering and surface-enhanced Raman scattering," Appl. Opt. 30, 4699-4705 (1991). [CrossRef] [PubMed]
  3. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000). [CrossRef] [PubMed]
  4. M. Quinten, A. Leitner, J. R. Krenn, and F. R. Aussenegg, "Electromagnetic energy transport via linear chains of silver nanoparticles," Opt. Lett. 23, 1331-1333 (1998). [CrossRef]
  5. N. Engheta, A. Salandrino, and A. Alù, "Circuit elements at optical frequencies: nano-inductors, nano-capacitors and nano-resistors," Phys. Rev. Lett. 95, 095504 (2005). [CrossRef] [PubMed]
  6. A. Alù and N. Engheta, "Achieving transparency with plasmonic and metamaterial coatings," Phys. Rev. E 72, 016623 (2005). [CrossRef]
  7. M. G. Silveirinha, A. Alù, and N. Engheta, "Parallel plate metamaterials for cloaking structures," Phys. Rev. E 75, 036603 (2007). [CrossRef]
  8. A. Alù and N. Engheta, "Plasmonic materials in transparency and cloaking problems: mechanism, robustness, and physical insights," Opt. Express 15, 3318-3332 (2007). [CrossRef] [PubMed]
  9. A. Alù and N. Engheta, "Enhanced directivity from sub-wavelength infrared/optical nano-antennas loaded with plasmonic materials or metamaterials," IEEE Trans. Antennas Propag. (to be published).
  10. G. Mie, "Considerations on the optics of turbid media, especially colloidal metal sols," Ann. Phys. 25, 377-442 (1908). [CrossRef]
  11. C. F. Bohren, "How can a particle absorb more than the light incident on it?," Am. J. Phys. 51, 323-327 (1983). [CrossRef]
  12. Z. B. Wang, B. S. Lukyanchuk, M. H. Hong, Y. Lin, and T. C. Chong, "Energy flow around a small particle investigated by classical Mie theory," Phys. Rev. B 70, 035418 (2004). [CrossRef]
  13. M. V. Bashevoy, V. A. Federov, and N. I. Zheludev, "Optical whirlpool on an absorbing metallic nanoparticle," Opt. Express 13, 8372-8379 (2005). [CrossRef] [PubMed]
  14. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).
  15. A. Alù and N. Engheta, "Polarizabilities and effective parameters for collections of spherical nano-particles formed by pairs of concentric double-negative (DNG), single-negative (SNG) and/or double-positive (DPS) metamaterial layers," J. Appl. Phys. 97, 094310 (2005). [CrossRef]
  16. M. I. Tribelskii, "Resonant scattering of light by small particles," Sov. Phys. JETP 59, 534-536 (1984).
  17. By "incident on the particle" the problem is considered in terms of geometrical optics.
  18. P. B. Johnson and R. W. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370-4379 (1972). [CrossRef]
  19. D. Bohm and E. P. Gross, "Theory of plasma oscillations. A. Origin of medium-like behavior," Phys. Rev. 75, 1851-1864 (1949). [CrossRef]
  20. M. Abramowitz and I. A. Stegun, eds., "Spherical Bessel functions," in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, 1972), Subsection 10.1, pp. 437-442.
  21. We note that the analysis in expands the whole scattered field in the Taylor approximation, mixing together the different Mie spherical harmonics. Although this procedure eventually ensures numerical convergence, it requires a much higher number of terms in order to predict the correct results near the resonance of the nanoparticle, similar to the cases considered here. This explains the disagreement between our full-wave results and the approximate calculation in . Also contrary to the claim mentioned in that a correct evaluation of the power-flow distribution would require multiple Mie orders, we believe that this is not the case, in the sense that, even if in their Taylor expansion higher-order terms are needed, with a full-wave Mie harmonic expansion one would require one single resonant harmonic to predict the overall power distribution, as has been shown here.
  22. S. J. Oldenburg, G. D. Hale, J. B. Jackson, and N. J. Halas, "Light scattering from dipole and quadrupole nanoshell antennas," Appl. Phys. Lett. 75, 1063-1065 (1999). [CrossRef]

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