A Study of Surface Plasmon Resonance on 2-D Metal Cylindrical Nanoparticles by Scattering Matrix Method
Date Issued
2006
Date
2006
Author(s)
Su, Ying-Jie
DOI
zh-TW
Abstract
The scattering matrix method was applied to the analysis of surface plasmon resonance of infinite two-dimensional metal nanoparticles. The object of this thesis is to discuss the surface plasmon resonance on nanoparticles in different illumination direction. We also analysis the electric fields and magnetic fields with different particle size when the surface plasmon resonance occurs.
Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident field(plane wave)and scattered field by special function(for example, Bessel function and Hankel function)under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.
Subjects
表面電漿共振
散射矩陣法
金屬圓柱
surface plasmon resonance
scattering matrix method
metal cylinder
Type
thesis
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