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Full-Text Articles in Physical Sciences and Mathematics
Anti-Cloaking: The Mathematics Of Disguise, Theresa C. Anderson, Brooke E. Phillips
Anti-Cloaking: The Mathematics Of Disguise, Theresa C. Anderson, Brooke E. Phillips
Mathematical Sciences Technical Reports (MSTR)
Recent developments in cloaking, the ability to selectively bend electromagnetic waves so as to render an object invisible, have been abundant. Based on cloaking principles, we will describe several ways to mathematically disguise objects in the context of electrical impedance imaging. Through the use of a change-of-variables scheme we show how one can make an object appear enlarged, translated, or rotated by surrounding it with a suitable "metamaterial," a man-made material that selectively redirects current. Analysis of eigenvectors and eigenvalues, which describe how current flows, follow. We prove that in order to disguise an object, a metamaterial must encompass both …
Adomian Decomposition Method For Solving The Equation Governing The Unsteady Flow Of A Polytropic Gas, M. A. Mohamed
Adomian Decomposition Method For Solving The Equation Governing The Unsteady Flow Of A Polytropic Gas, M. A. Mohamed
Applications and Applied Mathematics: An International Journal (AAM)
In this article, we have discussed a new application of Adomian decomposition method on nonlinear physical equations. The models of interest in physics are considered and solved by means of Adomian decomposition method. The behavior of Adomian solutions and the effects of different values of time are investigated. Numerical illustrations that include nonlinear physical models are investigated to show the pertinent features of the technique.