The Analysis Of TM-mode And TE-mode Optical
Responses Of Metallic Nanostructures By New
Surface Integral Equations
Author(s)
J.-W. Liaw
Abstract
Two sets of new surface integral equations, based on the Stratton-Chu
formulation, are developed to analyze the interactions of an incident
electromagnetic wave with a 2D metallic nanostructure for the
transverse-magnetic (TM) mode and the transverse-electric (TE) mode,
respectively. For the former, the surface integral equations are in terms of the
surface components of the tangential magnetic field Hz, the normal displacement
field Dn, and the tangential electric field Et. As to the latter, the equations are in
terms of the surface components of the tangential electric field Ez, the normal
magnetic flux density Bn, and the tangential magnetic field Ht. The numerical
results show that for TM mode a standing wave pattern is observed on the
backside of a metallic nanoscatterer with a size of several hundreds nanometers,
which is caused by two surface plasmon waves creeping along the boundary
clockwise and counterclockwise. However there is only a shadow zone on the
backside of the metallic scatterer for TE mode.
Keywords: surface plasmon resonance, surface plasmon wave, metallic
nanostructure, transverse magnetic mode, transverse electric mode, surface
integral equations.
1 Introduction
Recently a new topic-plasmonics attracts much attention in nanooptics [1–4]. It
is concerned with the interaction of light with metallic nanostructures. Because
of the free electrons in metals, the permittivity of metal (e.g. Au and Ag) is not
Keywords
surface plasmon resonance, surface plasmon wave, metallic
nanostructure, transverse magnetic mode, transverse electric mode, surface
integral equations.
Related Book
Other papers in this volume
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