Volume integral equation analysis of surface plasmon resonance of nanoparticles.

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.

[1]  J. Liaw.  Simulation of surface plasmon resonance of metallic nanoparticles by the boundary-element method. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[2]  Stephen K. Gray,et al.  Propagation of light in metallic nanowire arrays: Finite-difference time-domain studies of silver cylinders , 2003 .

[3]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[4]  Er-Ping Li,et al.  Analysis of sub-wavelength light propagation through long double-chain nanowires with funnel feeding. , 2007, Optics express.

[5]  R. W. Christy,et al.  Optical Constants of the Noble Metals , 1972 .

[6]  V. Rokhlin.  Rapid Solution of Integral Equations of Scattering Theory , 1990 .

[7]  D. Wilton,et al.  Simple and efficient numerical methods for problems of electromagnetic radiation and scattering from surfaces , 1980 .

[8]  David R. Smith,et al.  Plasmon resonances of silver nanowires with a nonregular cross section , 2001 .

[9]  J. Kottmann,et al.  Accurate solution of the volume integral equation for high-permittivity scatterers , 2000 .

[10]  J. Kottmann,et al.  Spectral response of plasmon resonant nanoparticles with a non-regular shape. , 2000, Optics express.

[11]  J. Hafner,et al.  Optical properties of star-shaped gold nanoparticles. , 2006, Nano letters.

[12]  Hans Peter Herzig,et al.  Application of the boundary-element method to the interaction of light with single and coupled metallic nanoparticles. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  Jian-Ming Jin,et al.  Application of adaptive integral method to scattering and radiation analysis of arbitrarily shaped planar structures , 1998 .

[14]  Christian Hafner,et al.  Multiple multipole method with automatic multipole setting applied to the simulation of surface plasmons in metallic nanostructures. , 2002, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  G. Schatz,et al.  Discrete dipole approximation for calculating extinction and Raman intensities for small particles with arbitrary shapes , 1995 .