Download or read book Geometry Optimization and Computational Electromagnetics written by Raymond A. Wildman and published by ProQuest. This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A new geometry optimization scheme, based on computational geometry methods, is developed and applied to electromagnetic problems. Geometry optimization is an important problem and has applications in inverse scattering and electromagnetic device design. The basic method uses a novel geometric representation that can represent any topology and is also amenable to stochastic optimization methods. Though only developed here for two-dimensional problems, the method can be extended to three dimensions without altering any of its useful properties. As motivation, a phononic bandgap design problem is first developed and attempted using a pixel filling approach. Though decent results are achieved, the possible solutions are inherently limited by the geometric representation. The new method is then introduced and applied to the inverse scattering of conducting cylinders. Subsequently, homogeneous and inhomogeneous dielectric inverse scattering problems are solved and the efficiency of the method is addressed using local search methods. Finally, several advances in electromagnetic solvers, specifically time domain Nyström methods, are reported. These methods offer advantages over other competing methods and could be used with different geometry design problems.