TY - CONF T1 - Computation of Green's function for finite-size photonic crystals by boundary element method T2 - Antennas and Propagation Society International Symposium, 2004. IEEE Y1 - 2004 A1 - Seydou,F. A1 - Ramahi,O. A1 - Duraiswami, Ramani A1 - Seppdnen,T. KW - 2D KW - boundary KW - boundary-elements KW - circular KW - crystals; KW - cylinders; KW - electromagnetic KW - element KW - equation KW - equations; KW - expansions; KW - finite-size KW - function KW - function; KW - Green KW - Green's KW - integral KW - method; KW - methods; KW - multipole KW - photonic KW - propagation; KW - wave AB - We have derived a new integral equation method for computing the Green's function for 2D electromagnetic wave propagation in a finite size photonic crystal. The method is also used for deriving the multipole expansions for the case of circular cylinders. This derivation is different from the ones in the literature. Our numerical results show an excellent agreement of the two algorithms. In the future we would like to expand the method to the numerical solution of the three-dimensional electromagnetic problem. JA - Antennas and Propagation Society International Symposium, 2004. IEEE VL - 4 M3 - 10.1109/APS.2004.1330307 ER - TY - CONF T1 - Electromagnetic scattering from a multilayered cylindrical waveguide T2 - Antennas and Propagation Society International Symposium, 2003. IEEE Y1 - 2003 A1 - Seydou,F. A1 - Duraiswami, Ramani A1 - Seppanen,T. KW - circular KW - core; KW - cylinder; KW - cylindrical KW - dielectric KW - dielectric-loaded KW - electromagnetic KW - EM KW - equations; KW - matching; KW - Maxwell KW - mode KW - multilayered KW - scattering; KW - theory; KW - wave KW - waveguide KW - waveguide; KW - waveguides; AB - This paper is devoted to electromagnetic scattering from an N multilayered circular cylinder. We consider waveguides in the z direction; that is, we look for the solution of Maxwell equations along the z direction. We assume a dielectric core and derive a mode matching approach for solving the problem. A numerical result is presented that illustrates the algorithm. JA - Antennas and Propagation Society International Symposium, 2003. IEEE VL - 3 M3 - 10.1109/APS.2003.1219855 ER - TY - CONF T1 - Integral equation solution of electromagnetic scattering from a multilayered cylindrical waveguide T2 - Antennas and Propagation Society International Symposium, 2003. IEEE Y1 - 2003 A1 - Seydou,F. A1 - Duraiswami, Ramani A1 - Seppanen,T. KW - approximation KW - circular KW - core; KW - cylinder; KW - cylindrical KW - dielectric KW - dielectric-loaded KW - electromagnetic KW - EM KW - equations; KW - integral KW - Maxwell KW - method; KW - multilayered KW - numerical KW - Nystrom KW - scattering; KW - theory; KW - wave KW - waveguide KW - waveguides; AB - This paper is devoted to the electromagnetic scattering from an N multilayered cylinder. We consider waveguides in the z direction, that is: we look for the solution of Maxwell equations along the z direction. We assume a dielectric core and discuss the problem for the case of general domains. We use an integral equation approach to solve the problem and the Nystrom method for the numerical approximation. JA - Antennas and Propagation Society International Symposium, 2003. IEEE VL - 3 M3 - 10.1109/APS.2003.1219901 ER -