Optimization method in 2D magnetic cloaking problems

Optimization and Discretization in 2D Problems of Electromagnetic Invisible Cloaking

We study control problems for the 2D electromagnetic field model describing scattering TM-polarized electromagnetic waves in unbounded homogeneous medium containing a penetrable inhomogeneous dielectric obstacle with the boundary partially coated for masking. These problems arise when developing the design technologies of electromagnetic cloaking devices using optimization method. Two constitut...

Numerical Simulations of Cloaking Problems using a DPG Method

Modified Fixed Grid Finite Element Method in the Analysis of 2D Linear Elastic Problems

In this paper, a modification on the fixed grid finite element method is presented and used in the solution of 2D linear elastic problems. This method uses non-boundary-fitted meshes for the numerical solution of partial differential equations. Special techniques are required to apply boundary conditions on the intersection of domain boundaries and non-boundary-fitted elements. Hence, a new met...

Modified Fixed Grid Finite Element Method in the Analysis of 2D Linear Elastic Problems

In this paper, a modification on the fixed grid finite element method is presented and used in the solution of 2D linear elastic problems. This method uses non-boundary-fitted meshes for the numerical solution of partial differential equations. Special techniques are required to apply boundary conditions on the intersection of domain boundaries and non-boundary-fitted elements. Hence, a new met...

Semiclassical description of non magnetic cloaking.

We present a semiclassical description of non-magnetic cloaking. The semiclassical result is confirmed by numerical simulations of a gaussian beam scattering from the cloak. Further analysis reveals that certain beams penetrate the non-magnetic cloak thereby degrading the performance.