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A novel formulation of the surface-volume-surface electric field integral equation (SVS-EFIE) is introduced for the solution of the scattering and radiation problems on the composite dielectric objects made of arbitrary number of piecewise homogeneous nonmagnetic dielectric regions. The regions composing the scatterer may or may not share common boundaries. Due to the fact that SVS-EFIE introduces the independent fictitious surface electric current densities on the boundary of each region, the proposed formulation allows for independent meshing of the scatterer regions according to its permittivity. As a result, the new SVS-EFIE formulation presents no complications in method-of-moments  discretization at the material junctions. The proposed formulation exhibits the same CPU time and the memory complexities as traditional surface integral equation formulations when fields throughout the scatterer are to be computed. The new equation is validated through comparison of its solution against the Mie series and fields computed using the commercial software. [ABSTRACT FROM AUTHOR]

A novel formulation of the surface-volume-surface electric field integral equation (SVS-EFIE) is introduced for the solution of the scattering and radiation problems on the composite dielectric objects made of arbitrary number of piecewise homogeneous nonmagnetic dielectric regions. The regions composing the scatterer may or may not share common boundaries. Due to the fact that SVS-EFIE introduces the independent fictitious surface electric current densities on the boundary of each region, the proposed formulation allows for independent meshing of the scatterer regions according to its permittivity. As a result, the new SVS-EFIE formulation presents no complications in method-of-moments  discretization at the material junctions. The proposed formulation exhibits the same CPU time and the memory complexities as traditional surface integral equation formulations when fields throughout the scatterer are to be computed. The new equation is validated through comparison of its solution against the Mie series and fields computed using the commercial software. [ABSTRACT FROM AUTHOR]

It is shown that the ill-posedness of the inverse scattering problem can be eliminated through spatial decoupling of the radiated fields produced by distinct regions of the imaging domain. Such spatial decoupling can be achieved by inhomogeneous media that forms separated beams of the radiated field produced by the distinct pixels of contrast sources as they are interrogated by an extraneous field. Example of the Green's functions exhibiting desired properties, namely, the Green's function of a Maxwell fish-eye lens, are used to demonstrate the effect. [ABSTRACT FROM AUTHOR]

A vectorial Low-Frequency Multi-Level Fast Multipole Algorithm (LF-MLFMA) is proposed for acceleration of interactions resultant from the method of moments (MoM) discretization of the combined field integral equation (CFIE). The derivatives relating the scalar Green's function to its dyadic counterparts are defined via recursive identities for scalar wave functions. The method evaluates the matrix vector product in MoM by performing three scalar LF-MLFMA passes. It is demonstrated to be stable for scatterers spanning up to 110 wavelengths in size. As the method does not impose any restrictions on the depth of the MLFMA tree, it is suitable for the solution of both broadband and multiscale problems. [ABSTRACT FROM PUBLISHER]