A new hybrid modal-moment method is proposed to calculate fields penetrated through small apertures on rectangular metallic enclosures. First, the method of moments is used to numerically solve the governing electric field integral equation for the equivalent two-dimensional surface-current distributions on the surface of metallic enclosure including any number of rectangular apertures of arbit...

This paper presents a level-set framework for a typical electromagnetic design problem of dipole antenna. In this study, the geometrical configuration of an antenna is represented by the zero-level contour of a higher-dimensional level-set function. The governing equation for the induced current flow on a metal surface is the Electric Field Integral Equation (EFIE), which takes into account the...

in this article,we present a wavelet method for solving stochastic volterra integral equations based on haar wavelets. first, we approximate all functions involved in the problem by haar wavelets then, by substituting the obtained approximations in the problem, using the it^{o} integral formula and collocation points then, the main problem changes into a system of linear or nonlinear equation w...

magnetic field effects on the elastic response of polymeric piezoelectric cylinder reinforced with carbon nanotubes (cnts) is studied. the cylinder is subjected to internal pressure, a constant electric potential difference at the inner and outer surfaces, thermal and magnetic fields. the mori-tanaka model is used for obtaining the equivalent material properties of the cylinder. based on the ch...

A modified boundary integral equation/boundary element method (BIE/BEM) is being developed for eddy current problems in three dimensions. Maxwell’s equations governing the eddy current problems are formulated in two sets of BIE’s, one for the electric field and the other for the magnetic field. These BIE’s involve both the field and the normal derivative of the field, for both exterior (air) an...

Expressions for the energy content of one-dimensional electrostatic perturbations about homogeneous equilibria are revisited. The well-known dielectric energy, gD is compared with the exact plasma free energy expression, S2F, that is conserved by the Vlasov-Poisson system [Whys. Rev. A 40, 3898 (1989) and Phys. Fluids B 2, 1105 ( 1990)]. The former is an expression in terms of the perturbed ele...

For the iterative solutions of the integral equation methods employing the multilevel fast multipole algorithm (MLFMA), effective preconditioning techniques should be developed for robustness and efficiency. Preconditioning techniques for such problems can be broadly classified as fixed preconditioners that are generated from the sparse near-field matrix and variable ones that can make use of M...

A numerical method is introduced to determine the nuclear magnetic resonance frequency of a donor P doped inside a silicon substrate under the influence of an applied electric field. This phosphorus donor has been suggested for operation as a qubit for the realization of a solid-state scalable quantum computer. The operation of the qubit is achieved by a combination of the rotation of the phosp...