OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 26 — Dec. 24, 2007
  • pp: 18200–18208

Volume integral equation analysis of surface plasmon resonance of nanoparticles

Wei-Bin Ewe, Hong-Son Chu, and Er-Ping Li  »View Author Affiliations


Optics Express, Vol. 15, Issue 26, pp. 18200-18208 (2007)
http://dx.doi.org/10.1364/OE.15.018200


View Full Text Article

Enhanced HTML    Acrobat PDF (284 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The interactions between electromagnetic field and arbitrarily shaped metallic nanoparticles are numerically investigated. The scattering and near field intensity of nanoparticles are characterized by using volume integral equation which is formulated by considering the total electric field, i.e. the sum of incident fields and radiated fields by equivalent electric volume currents, within the scatterers. The resultant volume integral equation is then discretized using divergence-conforming vector basis functions and is subsequently solved numerically. Numerical examples are presented to demonstrate the application of volume integral equation to capture and analyze the surface plasmon resonance of arbitrarily shaped metallic nanoparticles. The effects of illumination angles and background media to the surface plasmon resonance are also investigated. The results show that our proposed method is particularly useful and accurate in characterizing the surface plasmon properties of metallic nanoparticles.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(240.6680) Optics at surfaces : Surface plasmons
(260.3910) Physical optics : Metal optics

ToC Category:
Optics at Surfaces

History
Original Manuscript: October 17, 2007
Revised Manuscript: December 3, 2007
Manuscript Accepted: December 4, 2007
Published: December 19, 2007

Citation
Wei-Bin Ewe, Hong-Son Chu, and Er-Ping Li, "Volume integral equation analysis of surface plasmon resonance of nanoparticles," Opt. Express 15, 18200-18208 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-26-18200


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. V. D. Hulst, Light Scattering by Small Particles (John Wiley, New York, 1957).
  2. C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).
  3. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artech House, Norwood, MA, 2000), 2nd ed.
  4. S. K. Gray and T. Kupka, "Propagation of light in metallic nanowire arrays: Finite-difference time-domain studies of silver cylinders," Phys. Rev. B 68, 045,415 (2003). [CrossRef]
  5. E. Moreno, D. E. Erni, C. Hafner, and R. Vahldieck, "Multiple multipole method with automatic multipole setting applied to the simulation of surface plasmons in metallic nanostructures," J. Opt. Soc. Am. A 19, 101-111 (2002). [CrossRef]
  6. W. H. Yang, G. C. Schatz, and R. P. V. Duyne, "Discrete dipole approximation for calculating extinction and raman intensities for small particles with arbitrary shape," J. Chem. Phys. 103, 869-875 (1995). [CrossRef]
  7. C. Rockstuhl, M. G. Salt, and H. P. Herzig, "Application of the boundary-element method to the interaction of light with single and coupled metallic nanoparticles," J. Opt. Soc. Am. A 20, 1969-1973 (2003). [CrossRef]
  8. J.-W. Liaw, "Simulation of surface plasmon resonance of metallic nanoparticles by the boundary-element method," J. Opt. Soc. Am. A 23, 108-116 (2006). [CrossRef]
  9. H. S. Chu, W. B. Ewe, E. P. Li, and R. Vahldieck, "Analysis of sub-wavelength light propagation through long double-chain nanowires with funnel feeding," Opt. Express 15, 4216-4223 (2007). [CrossRef] [PubMed]
  10. J. P. Kottmann and O. J. F. Martin, "Accurate solution of the volume integral equation for high-permittivity scatterers," IEEE Trans. Antennas Propag. 48, 1719-1726 (2000). [CrossRef]
  11. J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, "Spectral response of plasmon resonant nanoparticleswith a non-regular shape," Opt. Express 6, 213-219 (2000). [CrossRef] [PubMed]
  12. J. P. Kottmann, O. J. F. Martin, D. R. Smith, and S. Schultz, "Plasmon resonances of silver nanowires with a nonregular cross section," Phys. Rev. B 64, 235,402 (2001). [CrossRef]
  13. C. A. Balanis, Advanced Engineering Electromagnetics (John Wiley, New York, 1989).
  14. A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics (IEEE-Oxford University Press, 1998).
  15. R. F. Harrington, Field Computation by Moment Methods (MacMillan, New York, 1968).
  16. A. W. Glisson and D. R. Wilton, "Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces," IEEE Trans. Antennas Propag. 28, 593-603 (1980). [CrossRef]
  17. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propagat. 30, 409-418 (1982). [CrossRef]
  18. V. Rokhlin, "Rapid solution of integral equations of scattering theory in two dimensions," J. Comput. Phys. 86, 414-439 (1990). [CrossRef]
  19. F. Ling, C. F. Wang, and J. M. Jin, "Application of adaptive integral method to scattering and radiation analysis of arbitrarily shaped planar structures," J. Electromag. Waves Applicat. 12, 1021-1037 (1998). [CrossRef]
  20. P. B. Johnson and R. W. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370-4379 (1972). [CrossRef]
  21. C. L. Nehl, H. Liao, and J. H. Hafner, "Optical properties of star-shaped gold nanoparticles," Nano Lett. 6, 683-688 (2006). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited