
Accession Number : AD0640819
Title : RADIATION OF A POINT CHARGE MOVING UNIFORMLY OVER AN INFINITE ARRAY OF CONDUCTING HALFPLANES.
Descriptive Note : Technical rept.,
Corporate Author : ANTENNA LAB CALIF INST OF TECH PASADENA
Personal Author(s) : Lam,John
Report Date : AUG 1966
Pagination or Media Count : 129
Abstract : The problem of the excitation of an infinite array of parallel, semiinfinite metallic plates by a uniformly moving point charge is studied by the WienerHopf method. It is treated as a boundary value problem for the potentials of the diffracted electromagnetic fields. The formulation of this problem makes use of the wellknown conditions on the electromagnetic fields at a metallic boundary. A method is used to translate these boundary conditions on the fields into boundary conditions on the potentials. In this way the problem is formulated in terms of a set of dual integral equations for the current densities induced on the plates by the point charge. These integral equations are exactly soluble by the WienerHopf technique. The solutions are found to satisfy the famous edge conditions for diffraction problems, and are therefore unique. From these solutions exact expressions for the diffracted fields are derived in the form of Fourier integrals. It is seen that these fields represent a radiation of electromagnetic energy. The method of steepest descent is then used to obtain expressions for the radiation fields, the Poynting vector, the frequency spectrum and the radiation pattern. The radiation shows that the array of plates behaves both like a diffraction grating and a series of parallelplate waveguides. (Author)
Descriptors : (*ELECTROMAGNETIC RADIATION, DIFFRACTION), ELECTROMAGNETIC FIELDS, BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS, ANTENNA ARRAYS, ANTENNA RADIATION PATTERNS, METAL PLATES, PROPAGATION
Subject Categories : Radiofrequency Wave Propagation
Distribution Statement : APPROVED FOR PUBLIC RELEASE