Author: A. G. Dallas Publisher: ISBN: Category : Languages : en Pages : 68
Book Description
The equations derived for the problem of electromagnetic scattering from a perfectly conducting body undergoing general non-rigid motion in Part I of this series are specialized for the case when the body is stationary. The simplification of the reformulation of the problem as an integro-differential equation is carried out explicitly in this case and a constructive method of solution is presented. (Author).
Author: A. G. Dallas Publisher: ISBN: Category : Languages : en Pages : 62
Book Description
A representation of electromagnetic fields exterior to a perfectly conducting object undergoing general non-rigid motion is derived in terms of boundary integrals. The representation of the field involves scalar and vector potentials and the representation is the counter part of the Stratton-Chu or Maue representations in the stationary case. However, the motion complicates the representation considerably and this is shown explicity. (Author).
Author: A. G. Dallas Publisher: ISBN: Category : Languages : en Pages : 150
Book Description
The idea of a Motion is introduced as a mathematical framework within which to describe a fairly broad class of moving and deforming bodies. The implications of the definition are explored. In particular, the space-time track of the motion is represented in terms of the instantaneous positions of the moving body. The spatial projections of the intersections of the space-time track of a motion with characteristic cones are represented and studied. Finally, classes of smooth motions are identified. The additional properties of such motions, including the existence of a normal velocity field, are established. (Author).
Author: A. G. Dallas Publisher: ISBN: Category : Languages : en Pages : 310
Book Description
The problem of determining the scattered electromagnetic field produced when an initially quiescent incident field impinges upon a perfectly conducting body moving and deforming in vacuum is originally formulated as an initial-boundary-value problem for Maxwell's equations in a noncylindrical exterior domain in space-time. The motion and deformation of the scatterer are allowed to be fairly general, the essential hypotheses being that the boundry of its space-time track is smooth and can be mapped and smoothly onto a cylinder, while the speeds of points on the body must remain less than that of light in vacuum. Within this setting, uniqueness theorems are proven for various initial-boundary-value problems for a system of generalized Maxwell equations (in particular, for the scattering problem), and for the scalar wave equation, in noncylindrical domains.
Author: A. G. Dallas Publisher: ISBN: Category : Languages : en Pages : 342
Book Description
Kinematic single layer potentials are defined as certain functions generated by the intrinsic objects associated with a smooth motion and a density function defined on the boundary of the space-time track of the motion. These constitute generalization of the classical single layers associated with the Laplace operator. The support, continuity, and differentiability properties of these functions are examined. In particular, it is shown that the partial derivations of kinematic single layer potentials generally exhibit jump discontinuities on the boundary of the space-time track of the generating motion; the interior and exterior limiting values of these partial derivatives at the boundary are derived. (Author).
Author: A. G. Dallas Publisher: ISBN: Category : Languages : en Pages : 190
Book Description
Various standard results concerning manifolds in euclidean spaces, coordinate systems, and functions defined on such manifolds are developed and organized. For example, conditions are identified under which the image of a manifold is again a manifold. A development of Lebesgue measure and integration on a manifold is presented. Included is a change-of-variables formula for the transformation of an integral over a manifold to integration over a second manifold suitably related to the first. Classes of regular domains are defined. Special attention is given to those regular domains possessing a Holder-continuous exterior unit normal field, or Lyapunov domains. Slightly modifying the standard presentations, geometric and analytic properties of the boundary of a Lyapunov domain are derived, including the identification of certain canonical tangent-plane coordinate systems. (Author).
Author: A. K. Aziz Publisher: ISBN: Category : Languages : en Pages : 29
Book Description
An electromagnetic wave of given shape and frequency falls on a perfectly conducting body or collection of bodies. It is desired to calculate the resulting field. A new method is presented for the numerical solution of this problem, a computer program implementing the method is described, and the results of some numerical calculations are given. (Author).
Author: A. G. Dallas
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Author: A. G. Dallas
Author: A. G. Dallas
Author: A. G. Dallas
Author: A. G. Dallas
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Author: A. G. Dallas
Author: 
Author: A. K. Aziz