A Calderón preconditioner is developed for the analysis of electromagnetic scattering of perfect electrically conducting (PEC) objects embedded in a layered medium. The electric field integral equation (EFIE) is formulated with the kernel of layered medium Green’s function to account for the effects from the multilayered background. The Calderón projector is derived based on the general source-...

In this Master's Thesis we discuss the use of a modi ed Sparse Approximate Inverse method for preconditioning of the dense matrices arising in the Boundary Element Method when applied to the Electric Field Integral Equation. In particular we consider the case of a perfect electric conductor. Some general properties of the modi ed Sparse Approximate Inverse for complex symmetric problems are sho...

The low-frequency breakdown problem in electric field integral equation (EFIE) has been well recognized and extensively studied. State of the art methods for solving this problem either reformulate the integral equations or introduce a different set of basis functions. The solution to the original full-wave EFIE with the Rao-Wilton-Glisson (RWG)-basis remains unknown at breakdown frequencies. T...

In this paper, a rectangular sandwich plate with a constrained layer and an electrorheological (ER) fluid core is investigated. The rectangular plate is covered an ER fluid core and a constraining layer to improve the stability of the system. The two outer layers of the sandwich structure are elastic. The viscoelastic materials express the middle layer behavior under electric field and small st...

We present an accurate, stable, and efficient solution to the Lippmann–Schwinger equation for electromagnetic scattering in two dimensions. The method is well suited for multiple scattering problems and may be applied to problems with scatterers of arbitrary shape or non-homogenous background materials. We illustrate the method by calculating light emission from a line source in a finite-sized ...

A method of calculation of nonlinear transient responses of an assembly of noninteracting polar linear molecules due to sudden changes in a strong external dc electric field is presented. The infinite hierarchy of differential-recurrence relations for the decay functions describing the relaxation of the system is derived by averaging the underlying inertial Langevin equation. The solution of th...

In this study an analytical method is developed to obtain the response of electro-magneto-thermo-elastic stress and perturbation of a magnetic field vector for a thick-walled spherical functionally graded piezoelectric material (FGPM). The hollow sphere, which is placed in a uniform magnetic field, is subjected to a temperature gradient, inner and outer pressures and a constant electric potenti...

the earth’s gravity field dedicated missions, champ, grace and goce have opened up a new era for the study of the earth’s gravity field. the missions measure different functionals on the earth’s gravitational potential which are represented in terms of the stokes coefficients or the so-called geopotential models. the mapping process of the observations into the coefficients is called recovery o...