Browsing by Author "Riley, Douglas J."
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- Single and multiple electromagnetic scattering by dielectric obstacles from a resonance perspectiveRiley, Douglas J. (Virginia Polytechnic Institute and State University, 1986)A new application of the singularity expansion method (SEM) is explored. This application combines the classical theory of wave propagation through a multiple scattering environment and the SEM. Since the SEM is generally considered a theory for surface currents on conducting scatterers, extensions are made which permit, under certain conditions, a singularity expansion representation of the electromagnetic field scattered by a dielectric scatterer. Application of this expansion is then made to the multiple scattering case using both single and multiple interactions. A resonance scattering tensor form is used for the SEM description which leads to an associated tensor form of the solution to the multiple scattering problem with each SEM pole effect appearing explicitly. The coherent field is determined for both spatial and SEM parameter random variations. A numerical example for the case of an ensemble of lossy dielectric spheres is made. Accurate resonance expansions for the single scattering problem are derived, and resonance trajectories based on the Debye relaxation model for the refractive index are introduced. Application of the resonance expansions to the multiple scattering results for a slab containing a distribution of spheres with varying radii is made. Conditions are discussed for when the hybrid theory is appropriate.
- Time-domain developments in the singularity expansion methodRiley, Douglas J. (Virginia Polytechnic Institute and State University, 1982)This research presents two switching techniques using SOT and SLACK, as complementary sequencing rules, to show that they are practical procedures to control a job shop. These two approaches are: - Static switching of the complementary rules. - Dynamic switching of the complementary rules. This study also presents questions which arise in creating different switching rules or procedures for an interactive scheduling system. It is also developed a normalized objective function to measure the balance of the best properties produced by SOT (low flow time) and SLACK (low tardiness). It should be noted that even though such a system could be viewed as complex and expensive,it is not. Computational requirement will be slightly increased, but no more data is required than is expected for a typical scheduling procedure. Finally, a procedure to calculate the upper and lower limits is presented for dynamic switching procedures.