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In this paper, we study electromagnetic wave scattering from periodic structures and eigenvalue analysis of the Helmholtz equation. Boundary element method (BEM) is an effective tool to deal with Helmholtz problems on bounded as well as unbounded domains. Recently , Oh et al.([29]) developed reproducing polynomial boundary particle methods (RPBPM) that can… (More)

A Boundary Integral Equation for the eigenmode of Photonic Crystal Fibers is formulated and numerically solved using the Nyström method. The real and imaginary parts of the propagation constant, which are related to the dispersion and the confinement loss of fibers, are obtained using a secant method. This formulation is very flexible to handle the fiber… (More)

a r t i c l e i n f o a b s t r a c t The rigorous coupled-wave analysis method with Airy-like Internal-Reflection Series for the polar gyrotropic grating is improved with the Fourier factorization rule. In the process of derivation, Maxwell's equation is reformulated in order to avoid type 3 product and, either Laurent's rule or the inverse rule is used… (More)

a r t i c l e i n f o a b s t r a c t A Wideband Fast Multipole Method (FMM) for the 2D Helmholtz equation is presented. It can evaluate the interactions between N particles governed by the fundamental solution of 2D complex Helmholtz equation in a fast manner for a wide range of complex wave number k, which was not easy with the original FMM due to the… (More)

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