, Volume 7, Issue 1, pp 13–18 | Cite as

Modified Long Wavelength Approximation for the Optical Response of a Graded-Index Plasmonic Nanoparticle

  • Hung Yi ChungEmail author
  • Pui Tak Leung
  • Din Ping Tsai


The optical response of graded-index spherical metallic nanoparticles is studied in the modified long wavelength approximation with electrodynamic effects accounted for to the lowest order of the inverse of the wavelength. An effective-medium approach is adopted which leads to the conclusion that the first-order dynamical effects will enter mainly via the polarizability and not the effective dielectric function of the system. Numerical studies using various graded Drude functions show that these effects are not only significant for particles of large sizes but can also be appreciable for smaller particles with varying index profile.


Radial inhomogeneous Effective medium Long wavelength approximation 



We would like to thank Professor K. W. Yu of the Chinese University of Hong Kong for useful communications. We also acknowledge the financial support from the National Science Council, Taiwan, ROC, under grant numbers NSC 99-2120-M-002-012, 99-2911-I-002-127, 98-EC-17-A-09-S1-019, and NSC 99-2112-M-231-001-MY3, NSC100-2120-M-002-008, and NSC100-2923-M-002-007-MY3.


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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Hung Yi Chung
    • 1
    Email author
  • Pui Tak Leung
    • 2
    • 3
  • Din Ping Tsai
    • 1
  1. 1.Department of PhysicsNational Taiwan UniversityTaipeiRepublic of China
  2. 2.Department of PhysicsPortland State UniversityPortlandUSA
  3. 3.Institute of Optoelectronic SciencesNational Taiwan Ocean UniversityKeelungRepublic of China

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