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Recently, we have developed the method of broadband Green's function with low wavenumber extraction (BBGFL) to investigate the problem of arbitrary shaped waveguides [1]. In the past, the Boundary Integral-the Resonant Mode Expansion (BIRME) [2, 3] method was applied to calculate the modes of an arbitrary shaped waveguide with a homogenous dielectric. In BIRME, a DC extraction is applied to remove...
Ultrashort laser interactions with dielectrics are numerically investigated by using a multi-physics approach based on Maxwell's equations coupled with a multiple rate free carrier density equation and with the integrated two-temperature model describing the energy transfer from the conduction band electrons to lattice. The model accounts for a complete Keldysh photoionization rate, impact ionization...
Volume Integral Equations (VIEs) are indispensable for electromagnetic (EM) analysis by integral equation approach when inhomogeneous penetrable objects are involved. In the conventional method of moment (MoM) for solving the VIEs, unknown functions are expanded by a well-designed basis function like Schaubert-Wilton-Glisson (SWG) basis function, and a tedious testing procedure is required to transform...
We present a survey of state-of-the-art segmentation methods that exploit partial differential equations, focusing on techniques introduced since the year 2010. The discussed approaches are mainly those based on the active contour and level set principles. The former of the two categories comprises methods utilizing parametric curve evolution based on the energy of the image function, and the resulting...
In order to deal with the challenge of modeling complex multilayer composite structures, various numerical methods have been proposed. For the multilayer dielectric/metallic composite objects, traditional method needs special test procedures at junctions to enforce the boundary conditions on the interfaces of different materials. The connect-region-modeling (CRM) method automatically enforces boundary...
The computation of scattering from multilayer dielectric bodies is studied by using the combined tangential formulation (CTF) of surface integral solution. Different from homogeneous bodies, the formulation of multilayer dielectric bodies includes the interaction between equivalent currents on different interfaces. The previous preconditioners for solution of homogeneous bodies are not efficient any...
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