Citation
Lam, John LingYee (1967) Radiation of a point charge moving uniformly over an infinite array of conducting half planes. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd09252002122649
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.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Degree Grantor:  California Institute of Technology 
Division:  Engineering and Applied Science 
Major Option:  Applied Mechanics 
Thesis Availability:  Public (worldwide access) 
Research Advisor(s): 

Thesis Committee: 

Defense Date:  16 August 1966 
Record Number:  CaltechETD:etd09252002122649 
Persistent URL:  http://resolver.caltech.edu/CaltechETD:etd09252002122649 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  3755 
Collection:  CaltechTHESIS 
Deposited By:  Imported from ETDdb 
Deposited On:  25 Sep 2002 
Last Modified:  26 Dec 2012 03:02 
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