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On a Dedicated Volume Integral Equation Solver for Nanoparticle-on-Mirror (NPoM) Structures KU Leuven
Nowadays nanotechnology allows us to size down every single object in our daily life at the nanoscale. Especially, conventional microwave antennas/scatterers are reproduced at nanoscale and have found many applications, including bio-sensing, energy harvesting, nanoscale communications, etc. Most recently, a Nanoparticle-on-Mirror (NPoM) topology with a sub-nm gap size (See Fig. 1, a nanosphere-on-mirror, as an example) is proposed, soon draws ...
A Calderón multiplicative preconditioner for the combined field integral equation Ghent University
A Calderon multiplicative preconditioner (CMP) for the combined field integral equation (CFIE) is developed. Just like with previously proposed Caideron-preconditioned CFIEs, a localization procedure is employed to ensure that the equation is resonance-free. The iterative solution of the linear system of equations obtained via the CMP-based discretization of the CFIE converges rapidly regardless of the discretization density and the frequency of ...
Time domain Calderón identities and their application to the integral equation analysis of scattering by PEC objects, part I: preconditioning Ghent University
Time domain electric field integral equations often are used to analyze transient scattering from perfect electrically conducting objects. When discretized using marching-on-in-time recipes they give rise to linear systems of equations that can be solved for the induced currents for all time steps. Unfortunately, when the scatterer is approximated by increasingly dense meshes, the condition number of these systems grows rapidly, slowing down the ...
An efficient 1-D periodic boundary integral equation technique to analyze radiation onto straight and meandering microstrip lines Ghent University
Quasi 3D Mixed Potential Integral Equation formulation for periodic structures KU Leuven
This paper introduces the use of the quasi 3-D mixed potential integral equation formulation for structures with a periodicity in two dimensions. The quasi 3-D formulation allows to use both horizontal and vertical conductors, and dielectric inclusions. The key innovation is the use of an effective algorithm to calculate Periodic Green's Functions (PGFs) for vertical currents in the planar multilayered background medium. This algorithm retains ...
A Boundary Integral Equation Scheme for Simulating the Nonlocal Hydrodynamic Response of Metallic Antennas at Deep-Nanometer Scales KU Leuven
© 1963-2012 IEEE. Modeling the interaction between light and a plasmonic nanoantenna, whose critical dimension is of a few nanometers, is complex owing to the 'hydrodynamic' motion of free electrons in a metal. Such a hydrodynamic effect inevitably leads to a nonlocal material response, which enables the propagation of longitudinal electromagnetic waves in the material. In this paper, within the framework of a boundary integral equation and a ...
Modelling of transmission through apertures in thick dielectric screens using volume integral equations KU Leuven
In this paper the transmission through a periodic array of apertures in a thick dielectric screen is considered. This is a typical example of a topology for which numerous algorithms can be used. A new solving algorithm is explained. It is based on volume integral equations for equivalent electric currents in the apertures. The integral equations are solved using the method of moments. A comparison with CST demonstrates the validity and the ...