Analysis of Transient Electromagnetic Scattering from a Three-Dimensional Open Cavity

Analysis of Transient Electromagentic Scattering from Three Dimensional Cavities

This paper is concerned with the mathematical analysis of the time-domain Maxwell equations in a three-dimensional cavity. An exact transparent boundary condition (TBC) is developed to reformulate the open cavity scattering problem in an unbounded domain equivalently into an initial-boundary value problem in a bounded domain. The well-posedness and stability are studied for the reduced problem....

Analysis of Transient Electromagentic Scattering from a Three-dimensional Open Cavity

This paper is concerned with the mathematical analysis of the time-domain Maxwell equations in a three-dimensional open cavity. An exact transparent boundary condition (TBC) is developed to reformulate the open cavity scattering problem in an unbounded domain equivalently into an initial-boundary value problem in a bounded domain. The well-posedness and stability are studied for the reduced pro...

Stability of the Scattering from a Large Electromagnetic Cavity in Two Dimensions

This work is concerned with a time harmonic scattering problem of electromagnetic waves from a two-dimensional open cavity embedded in the infinite ground plane. Because of the highly oscillatory nature of the solution for large or deep cavity, the model scattering problem is challenging both mathematically and computationally. A variational formulation reduces the scattering problem into a bou...

A New Guideline for the Allocation of Multipoles in the Multiple Multipole Method for Two Dimensional Scattering from Dielectrics

A new guideline for proper allocation of multipoles in the multiple multipole method (MMP) is proposed. In an ‘a posteriori’ approach, subspace fitting (SSF) is used to find the best location of multipole expansions for the two dimensional dielectric scattering problem. It is shown that the best location of multipole expansions (regarding their global approximating power) coincides with the med...

An analysis of electromagnetic scattering from finite-width strips