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Maximizing scattering by coated spheres with radial anisotropy

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Abstract

The plasmonic resonant condition, associated with scattering maximization, is analytically established for core-shell spheres with radial anisotropy in the small-radii and low-dissipation limit. A generalized expression of the effective permittivity of the scatterers is also formulated. The derived closed-form results are validated with full-wave numerical analysis. The effects of dielectric anisotropy, mode of resonance, size, and loss are further discussed.

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References

  1. M.I. Tribelsky, B.S. Luk’yanchuk, Phys. Rev. Lett. 97, 263902 (2006)

    Article  ADS  Google Scholar 

  2. M.E. Stewart, C.R. Anderton, L.B. Thompson, J. Maria, S.K. Gray, J.A. Rogers, R.G. Nuzzo, Chem. Rev. 108, 494–521 (2008)

    Article  Google Scholar 

  3. S. Lal, S. Link, N.J. Halas, Nat. Photonics 1, 641–648 (2007)

    Article  ADS  Google Scholar 

  4. J.N. Anker, W.P. Hall, O. Lyandres, N.C. Shah, J. Zhao, R.P. Van Duyne, Nat. Mater. 7, 442–453 (2008)

    Article  ADS  Google Scholar 

  5. A.E. Neeves, M.H. Birnboim, J. Opt. Soc. Am. B 6, 787–796 (1989)

    Article  ADS  Google Scholar 

  6. R.D. Averitt, D. Sarkar, N.J. Halas, Phys. Rev. Lett. 78, 4217–4220 (1997)

    Article  ADS  Google Scholar 

  7. S.J. Oldenburg, R.D. Averitt, S.L. Westcott, N.J. Halas, Chem. Phys. Lett. 288, 243–247 (1998)

    Article  ADS  Google Scholar 

  8. V.L. Sukhorukov, G. Meedt, M. Kúrschner, U. Zimmermann, J. Electrost. 50, 191–204 (2001)

    Article  Google Scholar 

  9. B. Lange, S.R. Aragón, J. Chem. Phys. 92, 4643–4650 (1990)

    Article  ADS  Google Scholar 

  10. A.A. Lucas, L. Henrard, Ph. Lambin, Phys. Rev. B 49, 2888–2896 (1994)

    Article  ADS  Google Scholar 

  11. J.B. Pendry, D. Schurig, D.R. Smith, Science 312, 1780 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. L. Gao, T.H. Fung, K.W. Yu, C.W. Qiu, Phys. Rev. E 78, 046609 (2008)

    Article  ADS  Google Scholar 

  13. H.-Z. Liu, L.-W. Li, M.S. Leong, S. Zouhdi, Phys. Rev. E 84, 016605 (2011)

    Article  ADS  Google Scholar 

  14. B.S. Luk’yanchuk, C.-W. Qiu, Appl. Phys. A 92, 773–776 (2008)

    Article  ADS  Google Scholar 

  15. Y.X. Ni, D.L. Gao, Z.F. Sang, L. Gao, C.W. Qiu, Appl. Phys. A 102, 673–679 (2011)

    Article  ADS  Google Scholar 

  16. K.L. Wong, H.T. Chen, IEE Proc., H Microw. Antennas Propag. 139, 314–318 (1992)

    Article  Google Scholar 

  17. D.J. Wu, X.J. Liu, Appl. Phys. A 94, 537–541 (2009)

    Article  ADS  Google Scholar 

  18. L. Gao, X.P. Xu, Eur. Phys. J. B 55, 403 (2007)

    Article  ADS  Google Scholar 

  19. A. Alu, N. Engheta, J. Appl. Phys. 97, 094310 (2005)

    Article  ADS  Google Scholar 

  20. M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1965)

    Google Scholar 

  21. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic Press, New York, 1969)

    Google Scholar 

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Acknowledgements

This work is supported by a NUS research scholarship awarded to H.-Z. Liu. Useful technical discussions with the staff of the Electronics & Photonics Division, IHPC are also thankfully acknowledged.

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Author notes

  1. H.-Z. Liu

    Present address: Electronics & Photonics Division, A*STAR Institute of High Performance Computing (IHPC), Singapore, 138632, Singapore

Authors and Affiliations

  1. Department of Electrical & Computer Engineering, National University of Singapore, Singapore, 119260, Singapore

    H.-Z. Liu, K. Mouthaan & M. S. Leong

  2. Laboratoire de Génie Electrique de Paris LGEP-Supélec, Plateau de Moulon, 91192, Gif-sur-Yvette, France

    S. Zouhdi

Authors
  1. H.-Z. Liu
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  2. K. Mouthaan
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  3. S. Zouhdi
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  4. M. S. Leong
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Correspondence to H.-Z. Liu.

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Liu, HZ., Mouthaan, K., Zouhdi, S. et al. Maximizing scattering by coated spheres with radial anisotropy. Appl. Phys. A 109, 189–196 (2012). https://doi.org/10.1007/s00339-012-7032-1

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  • DOI: https://doi.org/10.1007/s00339-012-7032-1

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