This thesis provides an extensive review of acoustic wave theory in one, two (polar), and three (spherical) dimensions concluding with a study of passive, non-directional cloaking. The optical theorem is derived by use of energy conservation, yielding the cross sectional scattering in two and three dimensions. A new method, the Matricant Propagator, is developed for solving the scattered pressure field in wave-object interactions. Solutions found from the Matricant Propagator method are compared with known solutions using the Global Matrix method. A review of acoustic cloaking literature is given, including numerical comparison with previously proposed cloaking models. Lastly an acoustic cloak of the inertial type, made from compressible, inviscid fluids, is proposed by layering concentric shells of only three distinct fluids. The effectiveness of the device depends upon the relative densities and compressibilities of the three fluids. Optimal results are obtained if one fluid has density equal to the background fluid, while the other two densities are much greater and much less than the background. Numerical examples display a significant reduction in scattering and were compared using multiple solution methods. It is found that use of only two unique fluids is too restrictive for cloaking, however, interesting characteristics are found where energy may be diverted such that a reduction in backscatter occurs.
Subject (authority = RUETD)
Topic
Mechanical and Aerospace Engineering
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Rutgers University. Graduate School - New Brunswick
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.