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We present a new boundary integral formulation for time-harmonic wave diffraction from two-dimensional structures with many layers of arbitrary periodic shape, such as multilayer dielectric gratings in TM polarization. Our scheme is robust at all scattering parameters, unlike the conventional quasi-periodic Green's function method which fails whenever any(More)
In a ferromagnetic material, the relaxation of the magnetization distribution is described by Landau-Lifshitz-Gilbert (LLG) equation. In this study, the LLG equation is numerically solved with the Successive Over Relaxation method, which has the enhanced stability and accuracy compared to the Gauss-Seidel approaches. The numerical example for an(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)
The rigorous coupled-wave analysis with Airy-like internal-reflection series and Fourier-factorization for the calculation of the diffracted magneto-optical (MO) effects from polar and longitudinally magnetized gyrotropic gratings are fully described. For both gratings the numerical and experimental results are in good agreement, and the enhancement of Kerr(More)
11:00 AM – 11:30 AM Generalized image charge solvation model for electrostatic interactions in molecular dynamics simulations of aqueous solutions (p. 70) 3:30 PM – 4:00 PM Dirichlet/Robin iteration-by-subdomain Schwarz-DDM for mul-tiphase fuel cell model with micro-porous layer (p. 60) 12:00 PM – 12:30 PM A Schwarz generalized eigen-oscillation spectral(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)