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 analyze the resonant properties in surface plasmon polaritons nanocavities and study the resonant transmission spectrum of
light through a sub-wavelength metallic nanocavity composed by two pieces of finite silver thin slabs with nanometer
configurations of periodic sinusoid profile on their inner boundary, setting by face-to-face arrangement with a separated
spacing. The boundary elements method (BEM) is adopted for analyzing the optical behavior of these metallic nanocavities.
We investigate the influence of the number of the grating period on the optical resonant behaviors of the nanocavities. The
numerical results indicate that the wavelengths of resonant peaks are well agreed with the predicted resonant wavelength.
Furthermore, the number of the resonant wavelength from the scattered resonant transmission spectrum increases as the
number of the grating period is increased, and the resonant peaks shift to the longer wavelength while the number of the
grating period is increased. It is believed that our analysis will provide important information for designing novel cavity that
can select the wavelength or realize ultra-minitune optical sources that can be easily integrated in the all-optical communication
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.
We investigate the focal characteristics of several cylindrical microlenses made of anisotropically dielectric material
illuminated by different wavelengths in close boundary based on rigorous boundary element methods. Several design
schematics of the microlenses are performed and their focusing performances are analyzed. It is found that different
focal lengths ans spot sizes are formed from different design schematics, and the separation of o-ray and e-ray can be
well achieved by appropriately seleted geometrical parameters. It is believed that this analysis will provide useful
information in the applications of micro-optis.