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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 1 — Jan. 1, 2006
  • pp: 108–116

Simulation of surface plasmon resonance of metallic nanoparticles by the boundary-element method

Jiunn-Woei Liaw  »View Author Affiliations


JOSA A, Vol. 23, Issue 1, pp. 108-116 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000108


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Abstract

A set of new surface integral equations (Fredholm equations of the second kind) has been systematically derived from the Stratton–Chu formulation of Maxwell’s equations for a two-dimensional TM mode to investigate the interactions of an incident electromagnetic wave with nanostructures, especially metals. With these equations, the surface components (the tangential magnetic field, the normal displacement, and the tangential electric field) on the boundary are solved simultaneously by the boundary-element method numerically. For nanometer-sized structures (e.g., dimension of 10 nm ), our numerical results show that surface plasmon resonance causes a strong near-field enhancement of the electric field within a shallow region close to the interface of metal and dielectric. In addition, the corresponding pattern of the far-field scattering cross section is like a dipole. For the submicrometer-sized cases (dimension of several hundreds of nanometers), the numerical results indicate the existence of a standing wave on the backside surface of metals. This phenomenon could be caused by two surface plasmon waves that creep along the contour of metals clockwise and counterclockwise, respectively, and interfere with each other.

© 2006 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(050.1960) Diffraction and gratings : Diffraction theory
(240.6680) Optics at surfaces : Surface plasmons
(260.2110) Physical optics : Electromagnetic optics
(290.5850) Scattering : Scattering, particles

ToC Category:
Optics at Surfaces

Citation
Jiunn-Woei Liaw, "Simulation of surface plasmon resonance of metallic nanoparticles by the boundary-element method," J. Opt. Soc. Am. A 23, 108-116 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-1-108


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References

  1. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, andP. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature 391, 667-669 (1998). [CrossRef]
  2. L. B. Blanco and F. J. Garcia de Abajo, "Spontaneous emission enhancement near nanoparticles," J. Quant. Spectrosc. Radiat. Transf. 89, 37-42 (2004). [CrossRef]
  3. H. Xu, J. Aizpurua, M. Kall, and P. Apell, "Electromagnetic contributions to single-molecule sensitivity in surface-enhanced Raman scattering," Phys. Rev. E 62, 4318-4324 (2000). [CrossRef]
  4. F. J. Garcia de Abajo, "Light transmission through a single cylindrical hole in a metallic film," Opt. Express 10, 1475-1484 (2002). [PubMed]
  5. L. B. Yu, D. Z. Lin, Y. C. Chen, Y. C. Chang, K. T. Huang,J. W. Liaw, J. T. Yeh, J. M. Liu, C. S. Yeh, and C. K. Lee, "Physical origin of directional beaming emitted from a subwavelength slit," Phys. Rev. B 71, 041405(R) (2005). [CrossRef]
  6. G. Schider, J. R. Krenn, A. Hohenau, H. Ditlbacher,A. Leitner, F. R. Aussenegg, W. L. Schaich, I. Puscasu,B. Monacelli, and G. Boreman, "Plasmon dispersion relation of Au and Ag nanowires," Phys. Rev. B 68, 155427 (2003). [CrossRef]
  7. J.-C. Weeber, A. Dereux, C. Girard, G. C. des Francs, J. R. Krenn, and J.-P. Goudonnet, "Optical addressing at the subwavelength scale," Phys. Rev. E 62, 7381-7388 (2000). [CrossRef]
  8. J. W. Liaw and J. K. Wang, "Dispersion relation of plasmon wave in metallic nanowires," Scanning Microsc. 26, 106-108 (2004).
  9. S. A. Maier, P. G. Kik, and H. A. Atwater, "Optical pulse propagation in metal nanoparticle chain waveguides," Phys. Rev. B 67, 205402 (2003). [CrossRef]
  10. V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes in metal nanowires and left-handed materials," J. Nonlinear Opt. Phys. Mater. 11, 65-74 (2002). [CrossRef]
  11. J. P. Kottmann, J. F. Martin, D. R. Smith, and S. Schultz, "Spectral response of plasmon resonant nanoparticles with a non-regular shape," Opt. Express 6, 213-219 (2000). [CrossRef] [PubMed]
  12. J. P. Kottmann and J. F. Martin, "Plasmon resonant coupling in metallic nanowires," Opt. Express 8, 655-663 (2001). [CrossRef] [PubMed]
  13. J. P. Kottmann, J. F. Martin, D. R. Smith, and S. Schultz, "Plasmon resonances of silver nanowires with a nonregular cross section," Phys. Rev. B 64, 235402 (2001). [CrossRef]
  14. E. Moreno, D. 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]
  15. 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]
  16. F. J. Garcia de Abajo and A. Howie, "Retarded field calculation of electron energy loss in inhomogeneous dielectrics," Phys. Rev. B 65, 115418 (2002). [CrossRef]
  17. C. I. Valencia, E. R. Mendez, and B. S. Mendoza, "Second-harmonic generation in the scattering of light by two-dimensional particles," J. Opt. Soc. Am. B 20, 2150-2161 (2003). [CrossRef]
  18. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941), pp. 464-467.
  19. K. Tanaka, M. Tanaka, and K. Katayama, "Simulations of two-dimensional photon scanning tunneling microscope by boundary integral equation method: p-polarization," Opt. Rev. 6, 249-256 (1999). [CrossRef]
  20. D. W. Prather, J. N. Mait, M. S. Mirotznik, and J. P. Collins, "Vector-based synthesis of finite aperiodic subwavelength diffractive optical elements," J. Opt. Soc. Am. A 15, 1599-1607 (1998). [CrossRef]
  21. L. Rogobete and C. Henkel, "Spontaneous emission in a subwavelength environment characterized by boundary integral equations," Phys. Rev. A 70, 063815 (2004). [CrossRef]
  22. M. K. Choi, "Numerical calculation of light scattering from a layered sphere by the boundary-element method," J. Opt. Soc. Am. A 18, 577-583 (2001). [CrossRef]
  23. J. W. Liaw, S. L. Chu, C. S. Yeh, and M. K. Kuo, "Analysis of eddy current in a bar containing an embedded defect," NDT & E Int. 32, 293-303 (1999). [CrossRef]
  24. E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).

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