Simulation of Scattered Em Fields From Rotating Cylinder Using Passing Center Swing Back Grids Technique in Two Dimensions

Abstract

Abstract-In this paper, a new numerical technique, passing center swing back grids (PCSBG's) for the resolution of the grid distortion difficulty due to the rotational motion of objects is introduced. This proposed swing-back-grids approach alongside of the method of characteristics (MOC) is developed to solve EM scattering problems featured with rotating objects. The feasibility of such combination is apparent from the fact that MOC defines all field quantities in the centroid of the grid cell. The scattered EM fields from a rotating circular cylinder under the excitation of an EM pulse are predicted in two dimensions and the electric field distributions recorded at several time instances are demonstrated. In order to confirm that the cylinder is rotating and scattering EM fields simultaneously, the circular cylinder is uniformly divided into an even number of slices with one perfect reflector and one non-reflector alternatively since a rotating circular cylinder causes no relativistic effects.

An Extension of the Kelvin Image Theory to the Conducting Heaviside Ellipsoid

“…(The famous examples are Einstein's calculation of the radiation pressure of a monochromatic plane linearly polarized electromagnetic wave on a perfect plane mirror in uniform motion [3,5,6] and Poincaré's derivation of the electromagnetic field due to a uniformly moving point charge [7,8].) While the Frame Hopping Method is the standard research tool (cf, e.g., [9][10][11][12]), simple illustrations of the method in applications to the as yet unsolved problems seem to be lacking in the literature. So in this paper we present a generalization of the Kelvin image theory for a conducting sphere in the field of a point charge to the case of a moving spheroidal conductor in the field of a comoving charge.…”

Shuffling Two Quarter-Wavelength Slabs: One-Dimensional Numerical Simulation

“…MOC also generates numerical results showing reasonable trends in the following cases: the effects of medium conductivity on the propagation of EM fields [9] and the effects of lossless nonuniform dielectric slabs on the transmission of EM fields [10]. In recent decade, in order to overcome the grid distortion problems caused by the rotating cylinder, MOC teams up with the passing center swing back grids (PCSBG) technique in the modified O-type grid system, simulates the scattering EM fields from rotating circular cylinders, and produces numerical results that show reasonable trends [11][12][13][14].…”

Deformable, Time-Varying Boundary Problems in Electrodynamics

“…In recent years much attention has also been given to scattering from deterministic surfaces undergoing translation, rotation and vibration. For example, one-dimensional deterministic scattering from vibrating planes [4,5] and rotating cylinders [6] has been treated by applying relativistic boundary conditions and the method of characteristics to obtain numerical solutions.…”