The conventional magnetic induction equation that governs hydromagnetic dynamo action is transformed into an equivalent integral equation system. An advantage of this approach is that the computational domain is restricted to the region occupied by the electrically conducting fluid and to its boundary. This integral equation approach is first employed to simulate kinematic dynamos excited by Be...

We have developed a Green's function formalism to compute the local field distribution near an interface separating two media of different dielectric constants. The Maxwell's equations are converted into a surface integral equation ; thus it greatly simplifies the solutions and yields accurate results for interfaces of arbitrary shape. The integral equation is solved and the local field distrib...

in this paper, an iterative scheme for extracting approximate solutions of two dimensional volterra-fredholm integral equations is proposed. considering some conditions on the kernel of the integral equation obtained by discretization of the integral equation, the convergence of the approximate solution to the exact solution is investigated. several examples are provided to demonstrate the effc...

We investigate the use of edge element basis vectors in an integral equation solution for three-dimensional geophysical electromagnetic modelling. Expansion of the total electric field within the region of anomalous conductivity in terms of these basis vectors gives a bilinear variation of each component of the field within a cell in the two directions perpendicular to the component (and so a d...

In this paper a closed form solution for one-dimensional magnetothermoelastic problem in a functionally graded material (FGM) hollow sphere placed in a uniform magnetic field and temperature field subjected to an internal pressure is obtained using the theory of magnetothermoelasticity. Hyper-geometric functions are employed to solve the governing equation. The material properties through the g...

Starting with Zenneck and Sommerfeld wave propagation over a flat finitely conducting surface has been extensively studied by Wait and many other authors. In this paper, we examine propagation over a finitely conducting rough surface, also studied by many people including Feinberg, Bass, Fuks, and Barrick. This paper extends the multiple scattering theories based on Dyson and Bethe–Salpeter equ...

A new magnetic field geometry for spatial encoding of magnetic resonance imaging (MRI) is presented. The field is given by: Bz(x, y) 5 gyy cos(qxx), and is called a PERL field because it is PERiodic in x and Linear in y. Both imaging pulse sequences and encoding field design are analyzed theoretically. A two-dimensional (2D) imaging sequence is shown to require a Fourier transform to resolve th...

in this paper, we present a method for solving the rst kind abel integral equation. in thismethod, the rst kind abel integral equation is transformed to the second kind volterraintegral equation with a continuous kernel and a smooth deriving term expressed by weaklysingular integrals. by using sidi's sinm - transformation and modied navot-simpson'sintegration rule, an algorithm for...

An explicit marching-on-in-time (MOT) scheme to efficiently solve the time-domain magnetic field integral equation (TD-MFIE) with a large time step size (under low-frequency excitation) is developed. The proposed spatially expands current using high-order nodal functions defined on curvilinear triangles discretizing scatterer surface. Applying Nyström discretization, which uses this expansion, ...