We propose the revised boundary integral method (RBIM) that combines the boundary integral method (BIM) and the
boundary element method (BEM) together. It is well known that the boundary integral equations are cast into matrix
form for ease of computer implementation, and the points on the diagonal line of the matrix present the superposition of
the observation and the source points. The points are called singularity points which can cause the big error bar. Thus, we
consider replacing the BIM by the BEM at the diagonal line, comparing the numerical results by using the RBIM, the
BIM, the BEM, and the analytical method, and find the error bar caused by the RBIM is smaller than that of the BIM. It
indicates that the RBIM is not only faster than the BEM, but also it is preciser than BIM.
We investigate the beaming of light formed by a metallic nanostructure through the coupling of a metallic
nanoparticle and a metallic nanoslit flanked with periodic sinusoidal grating on one surface. We employ the
boundary element method (BEM) to simulate the transmission resonant spectrum and the optical field distribution.
The numerical results show that beaming of light are formed from the metallic nanoslit system. Such device can be
used for miniature optical antennas in the optical regime, which can transmit or receive light along a specific
direction for a given wavelength. Potential applications include the coupling light in or out of fibers and the
achieving the miniature optical source.
We investigate the local field enhancement properties of a 2D nano-cavity by using finite-difference
time-domain (FDTD) method. The 2D nano-cavity is built by two pieces of silver slabs with periodical
subwavelength corrugations on their inner boundaries. Numerical simulation result shows that the 2D
nano-cavity can confine and enhance light field within the region smaller than the diffraction limit in a relatively
broad range of wavelength. The result is useful for the research and development of new kinds of broadband
optical sources used in WDM optical communication networks or micro-optical sensor system.
We investigate the focused light from a metallic nanostructure by the coupling of a metallic nanoparticle and a metallic
nanoslit flanked with periodic sinusoidal grating on one surface. We employ the boundary element method (BEM) to
simulate the optical field distribution and the transmission resonant spectrum. The numerical results show that focused
light are formed from the metallic nanoslit system. Such device can be used for miniature optical antennas in the optical
regime, which can transmit or receive light along a specific direction for a given wavelength. Potential applications
include that the coupling light in or out of fibers and the achieving the miniature optical source.
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