Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: Eytan Barouch
Pages: [43] - [61]
Received Date: October 16, 2013
Submitted by:
A fast and accurate forward and inverse scattering method has been developed and implemented for electromagnetic systems. This method is directly applicable for various real-time in-situ tasks. The forward scattering algorithm utilizes multipole “perfectly matched layer” boundary conditions as well as a complex realization of the permittivity functions of highly lossy materials, optimizing both storage and computational requirements. The method combines several hybrid components due to the inapplicability of typical inverse methods, such as the conjugate gradient method and Hessian matrix inversion; these latter methods are inapplicable due to the hyperbolic nature of the Maxwell-material (MM) equations. Examples of highly structured inverse scattering of layered and structured objects that involve up to 23 independent parameters are given. The newly developed methodology as described and implemented herein is self-contained and can be modified to analyze various electromagnetic systems, regardless of scale, size and composition. The new method enables the accurate and efficient capture of effects of a broad variety of materials with various kinds of poles in the permittivity function that often occur with highly structured complex objects with multi-material lossy coatings.
perfectly matched layers, direct scattering, inverse scattering, lossy material.
